in a study about vitamins, researchers found that most adults take a daily multivitamin. specifically, the study found that 7 out of 12 adults (or 58% of adults) take a multivitamin. a medical adviser is interested in studying this topic further. he would like to test the claim that the proportion of adults who take a daily multivitamin is more than 0.58 (the proportion from the previous study). he sets up the hypotheses as: null hypothesis: p
Answers
He would fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim.
What is null hypothesis?
The null hypothesis is:
H0: p <= 0.58
The alternative hypothesis is:
Ha: p > 0.58
Where p represents the true proportion of adults who take a daily multivitamin.
The medical adviser could conduct a hypothesis test using a significance level (alpha) of 0.05. He would need to collect a sample of adults and determine the proportion who take a daily multivitamin. He could then calculate the test statistic, which in this case would be a one-sample z-test, using the following formula:
z = (p - p0) / sqrt(p0(1 - p0) / n)
Where p is the sample proportion, p0 is the hypothesized proportion under the null hypothesis, and n is the sample size.
If the test statistic falls in the rejection region (i.e. if the p-value is less than the significance level), the medical adviser would reject the null hypothesis and conclude that there is evidence to support the claim that the proportion of adults who take a daily multivitamin is more than 0.58. If the test statistic does not fall in the rejection region, he would fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim.
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Based on the number of doctors at the hospital who obtained results as extreme or more extreme than the results from the study, since 13 out of 20 samples have more than 7 adults who take a daily multivitamin, there is NOT evidence to suggest that the proportion of adults who take a multivitamin is more than 58%. the correct answer is b.
To determine whether there is evidence to suggest that more than 58% of adults take a daily multivitamin, we need to analyze the results from the 20 samples taken by the doctors.
The statement mentions that 13 out of the 20 samples have more than 7 adults who take a daily multivitamin. This means that in these 13 samples, the proportion of adults taking a multivitamin is higher than 7/12, which is equivalent to 58%.
To determine whether this difference is statistically significant, we typically perform a hypothesis test. The null hypothesis (H0) in this case is that the proportion of adults taking a multivitamin is 58% or less (p ≤ 0.58). The alternative hypothesis (Ha) is that the proportion is more than 58% (p > 0.58).
If the observed results are significantly different from what would be expected under the null hypothesis, we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.
Since 13 out of 20 samples have more than 7 adults who take a daily multivitamin, there is NOT evidence to suggest that the proportion of adults who take a multivitamin is more than 58% because it acknowledges that the observed results are not significantly different from the original study. The correct answer is B.
In hypothesis testing, we typically set a significance level (e.g., 0.05) to determine if the evidence is statistically significant. If the p-value (the probability of obtaining results as extreme or more extreme than the observed results) is less than the significance level, we reject the null hypothesis.
Your question is incomplete but probably your full question was attached below
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Related Questions
The expression 4a ^ 2 * b - 5a * b ^ 2 + 1 is a
(a) monomial
(d) None of these
(c) trinomial
(b) binomial
Answers
a coin is tossed 7 times. what is the probability of getting all heads? express your answer as a simplified fraction or a decimal rounded to four decimal places.
Answers
the probability of getting all heads after 7 tosses of a coin is 1/128, expressed as a simplified fraction or a decimal rounded to four decimal places is 0.0078.
When a coin is tossed, the probability of getting either heads or tails is 1/2. This probability remains constant regardless of the number of tosses.
In order to determine the probability of getting all heads after 7 tosses of a coin, we must calculate the probability of getting a head on each toss and multiply the individual probabilities together:
Probability of getting a head on the first toss = 1/2
Probability of getting a head on the second toss = 1/2
Probability of getting a head on the third toss = 1/2
Probability of getting a head on the fourth toss = 1/2
Probability of getting a head on the fifth toss = 1/2
Probability of getting a head on the sixth toss = 1/2
Probability of getting a head on the seventh toss = 1/2
The probability of getting all heads = (1/2) x (1/2) x (1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/128
Therefore, the probability of getting all heads after 7 tosses of a coin is 1/128, expressed as a simplified fraction or a decimal rounded to four decimal places is 0.0078.
Answer: 0.0078
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Construct triange ABC, in which AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. Measure the length of BC. Give your answer to 1 d. P
Answers
From the construction of the triangle ABC we get that the measure length of BC is approximately 4.22cm
To construct triangle ABC, we can follow these steps:
Draw a line segment AB of length 6 cm.Draw an angle of 96 degrees at point A using a protractor.Draw an angle of 35 degrees at point B using a protractor.The intersection point of the two lines that were drawn in step 2 and 3 will be point C, which is the third vertex of the triangle.To measure the length of BC in triangle ABC, we can use the law of sines.
The law of sines states that in any triangle ABC:
a / sin(A) = b / sin(B) = c / sin(C)
Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.
In our triangle ABC, we know AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. We can find the measure of angle ACB by using the fact that the sum of the angles in a triangle is 180 degrees:
angle ACB = 180 - angle BAC - angle ABC
= 180 - 96 - 35 = 49 degrees
Now, we can apply the law of sines to find the length of BC:
BC / sin(35) = 6 / sin(96)
BC = 6 × sin(35) / sin(96)
Using a calculator, we can evaluate this expression to get:
BC ≈ 4.22 cm
Therefore, the length of BC in triangle ABC is approximately 4.22 cm.
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Hello, please help me with Question B in this question :)
Answers
Given: The vectors u, v, and w as-
\(\begin{gathered} u=\begin{bmatrix}{2} & {} \\ {3} & {}\end{bmatrix} \\ v=\begin{bmatrix}{0} & {} \\ {1} & {}\end{bmatrix} \\ w=\begin{bmatrix}{4} & {} \\ {3} & {}\end{bmatrix} \end{gathered}\)Required: To determine the value of c such that u+cw is orthogonal to u.
Explanation: Two vectors are said to be orthogonal if their dot product is zero.
The vector u+cw is-
\(\begin{gathered} u+cw=\begin{bmatrix}{2} & {} \\ {3} & {}\end{bmatrix}+c\begin{bmatrix}{4} & {} \\ {3} & {}\end{bmatrix} \\ =\begin{bmatrix}2+{4}c & {} \\ 3+{3}c & {}\end{bmatrix} \end{gathered}\)The dot product of two vectors of the form-
Now, taking the dot product of (u+cw) with u as follows-
\(\begin{gathered} (u+cw)\cdot u=\begin{bmatrix}2+{4}c & {} \\ 3+{3}c & {}\end{bmatrix}\cdot\begin{bmatrix}{2} & {} \\ {3} & {}\end{bmatrix} \\ =4+8c+9+9c \end{gathered}\)Now, the product will be zero if the vectors are orthogonal.
\(\begin{gathered} 17c+13=0 \\ c=-\frac{13}{17} \end{gathered}\)Final Answer: The value of c is-
\(c=-\frac{13}{17}\)
find the slope distance and midpoint of R(3,5) and H(-1,2)
m=
d=
M (, )
Answers
Slope (m) of RH = 3/4
Distance of RH is d =5 units
Midpoint between points R and H is: M(1, 3.5)
How to Find the Slope?Slope (m) = change in y / change in x = y2 - y1/x2 - x1, where:
R(3, 5) = (x1, y1)
H(-1,2) = (x2, y2)
Plug in the values
Slope (m) = (2 - 5) / (-1 - 3)
Slope (m) = (-3) / (-4)
Slope (m) of RH = 3/4
How to Find the Distance between two Points?
Distance formula used is: \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
R(3, 5) = (x1, y1)
H(-1,2) = (x2, y2)
Plug in the values
RH = √[(−1−3)² + (2−5)²]
RH = √[(−4)² + (−3)²]
RH = 5 units
How to Find the Midpoint?
The midpoint formula used is: M[(x2 + x1)/2, (y2 + y1)/2)
R(3, 5) = (x1, y1)
H(-1,2) = (x2, y2)
Substitute the values
M[(-1 + 3)/2, (2 + 5)/2)
M(1, 3.5)
Therefore,
Slope (m) of RH = 3/4
Distance of RH is d =5 units
Midpoint between points R and H is: M(1, 3.5)
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help this is due tonight and i’m really confused
Answers
Answer:
it is perpendicular bisector of the given line.
Last week, Josh practiced a song 12 times. If he practiced the song 4 times on his own, how many times did he practice the song in front of others?
Answers
Answer:
Hello, it seems my fellow Josh needs some help, so here we go. It's quite simple, the answer is 8.
Step-by-step explanation:
12 - 4 = 8
or 8 + 4 = 12.
So he practiced 8 times in public, or to others.
Cleveland, OH, where the maximum and minimum temperatures were 70
∘
F and 58
∘
F respectively, experienced a mean temperature of
∘
F (round up if necessary). a. 58 b. 60 c. 64 d. 66 11. The mean temperature derived from the maximum and minimum temperatures at Cleveland indicates degree days were accumulated. a. heating (HDD) b. cooling (CDD) 12. Therefore, Cleveland accumulated degree day(s) on 6-7 September 2022. a. 0 b. 1 c. 3 d. 7 13. Based on the plotted temperatures across the rest of Ohio, remaining stations HDD on 6-7 September 2022. a. accumulated b. did not accumulate You can observe and calculate HDD or CDD as we progress into the fall and through the winter. Wind Chill HDD and CDD values and their effect on homeowners' utility bills may stress tight budgets through the seasons. Since energy bills are dependent on the human who uses the energy, another factor for homeowners to consider when budgeting energy consumption is wind chill. The wind chill is an air temperature index that takes into account heat loss from exposed skin caused by the combined effect of wind and low air temperature. Outdoors, the cooling effect of wind along with the ambient temperature is reflected by using the wind chill equivalent temperature. Go to NWS Daily Weather Map for the most recent map. The pane to the left allows you to select any date back to 1 January 2003. Each day's map series includes the surface map, colorcoded maps of maximum and minimum temperatures, mid-tropospheric flow at the 500−mb level, and total precipitation. The surface and 500−mb maps are for 12Z(8a.m. EDT or 7a.m. EST, etc.) while the temperatures and precipitation maps are for the entire day. Clicking on the maps opens a more detailed map. Bring up the daily weather map set for 23 January 2022 . Scroll down and click on either the Maximum or Minimum Temperature map. 14. For 23 January 2022, on the North Dakota-Minnesota border, Fargo had a minimum temperature of −25
∘
F. With the minimum temperature there, assume Fargo was experiencing a wind speed of 10mph. With the NWS Wind Chill Chart in Figure 4A-5 from Investigation 4A, the wind chill for this combination of temperature and wind speed would have been
∘
F. a. −16 b. −20 c. −35 d. −41 e. −47
Answers
The mean temperature in Cleveland, OH, was 64°F. The accumulated degree days for Cleveland on 6-7 September 2022 were 1. The rest of Ohio accumulated degree days during the same period.
Based on the given information, the maximum temperature in Cleveland was 70°F and the minimum temperature was 58°F. To find the mean temperature, we add the maximum and minimum temperatures and divide by 2: (70°F + 58°F) / 2 = 128°F / 2 = 64°F.
Degree days are a measure of heating or cooling requirements. In this case, since the mean temperature in Cleveland was lower than a certain base temperature, degree days were accumulated. The base temperature is typically set at 65°F for cooling and 55°F for heating. Since the mean temperature in Cleveland was below the base temperature, the accumulated degree days are heating degree days (HDD).
For the specific date of 6-7 September 2022, Cleveland accumulated 1 heating degree day (HDD). This means that the average temperature for that period was 1 degree below the base temperature of 55°F.
The remaining stations in Ohio also accumulated heating degree days (HDD) on 6-7 September 2022. This indicates that the temperatures across the rest of Ohio were below the base temperature during that period.
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Find the slope of the line passing through the points (-9, -3) and (7. -7).
Answers
Answer:
\(m=\frac{-1}{4}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (-9, -3)
Point (7, -7)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: \(m=\frac{-7+3}{7+9}\)Add: \(m=\frac{-4}{16}\)Simplify: \(m=\frac{-1}{4}\)Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS
(picture is linked belowww)
tysm like fr <33
Answers
The table with the scale measurements is given by the image shown at the end of the answer.
How to obtain the measurements?The measurements are obtained applying the proportion given for each table.
The symbols are given as follows:
': feet.'': inches.For the first table, we have that every inch on the table represents one feet in real life, hence:
2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:
2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.More can be learned about scale measurements at https://brainly.com/question/29229124
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HELP THIS IS DUE TODAY!!!!!! AHHHHHH
Answers
Answer:
260 / 5 = 52
Step-by-step explanation:
give brainliest please
26. What does an algorithmic state machine offer that is not provided by either a Moore or a Mealy machine?
Answers
An algorithmic state machine (ASM) is a type of finite-state machine that is designed specifically for describing the behavior of an algorithm.
ASM offers several advantages over Moore and Mealy machines, including:
Ease of design: ASM allows for a more intuitive and structured approach to designing algorithms, as it provides a clear separation between the control and data paths.
Modularity: ASM allows for the design of complex algorithms by breaking them down into smaller, more manageable modules, which can be independently designed and tested.
Scalability: ASM allows for the easy addition of new functionality to an algorithm by simply adding new modules or modifying existing ones.
Reusability: ASM provides a high degree of code reuse, as modules can be easily combined to form new algorithms.
Flexibility: ASM can handle a wider range of input and output conditions than either Moore or Mealy machines, making it more versatile in many applications.
Overall, an ASM offers a more powerful and flexible approach to algorithm design than either a Moore or a Mealy machine.
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1. There are 6 feet of ribbon in a roll. Samantha uses 3/4 foot pieces of ribbon to decorate gifts. How
many gifts can she decorate with one roll of ribbon?
Write an equation (with solution) to represent
this problem
Answers
Answer: 8
Step-by-step explanation:
take 72 inches and divide it by 9 inches and you will have the answer
A square has sides of length 4xcm. A rectangle is 4x by (x+6) cm. The
area of the square is triple the area of the rectangle. Find the dimensions of
each figure.
Answers
Answer:
x = 18 cm
Step-by-step explanation:
(4x)^2 = 3(4x)(x+6)
16x^2=3(4x)(x+6)
divide both sides by 4x
4x = 3(x+6)
4x=3x+18
x = 18
NEED HELP ASAP, find the value of X
Answers
Answer:
C
Step-by-step explanation:
Given 2 intersecting chords in a circle, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
DK × KB = AK × KC , substitute values
12(4x + 1) = 14(3 + 3x) ← distribute parenthesis on both sides )
48x + 12 = 42 + 42x ( subtract 42x from both sides )
6x + 12 = 42 ( subtract 12 from both sides )
6x = 30 ( divide both sides by 6 )
x = 5 → C
4. [8] Convert the following numbers from binary to octal and hexadecimal. a. 1010101110₂ b. 101010011100₂ 5. [4] Convert the following numbers from octal to hexadecimal. a. 746128 b. 2746358 6. [
Answers
4. Conversion of binary to octal and hexadecimal.
1010101110₂
OCTAL: Group the binary digits into groups of three, starting from the right.
Add leadings 0's if necessary.
So, 1010101110 is 001 010 101 110.
Now, substitute each group with an octal digit.
001 010 101 110₂ = 2 5 5 6₈
HEXADECIMAL: Group the binary digits into groups of four, starting from the right.
Add leading 0's if necessary.
So, 1010101110 is 0101 0101 1100.
Now, substitute each group with a hexadecimal digit.
0101 0101 1100₂ = 5 5 C₁₆
b. 101010011100₂
OCTAL: Group the binary digits into groups of three, starting from the right.
Add leadings 0's if necessary.
So, 101010011100 is 001 010 100 111 000.
Now, substitute each group with an octal digit.
001 010 100 111 000₂ = 2 5 4 7 0₈
HEXADECIMAL: Group the binary digits into groups of four, starting from the right.
Add leadings 0's if necessary.
So, 101010011100 is 0101 0100 1110.
Now, substitute each group with a hexadecimal digit.
0101 0100 1110₂ = 5 4 E₁₆.
5. Conversion of octal to hexadecimala.
746128:
Group the octal digits into groups of three, starting from the right.
Add leadings 0's if necessary.
So, 746128 is 007 461 028.
Now, substitute each group with a hexadecimal digit.
007 461 028₈ = 0 3 1 4 0 2₁₆
b. 2746358:
Group the octal digits into groups of three, starting from the right.
Add leadings 0's if necessary.
So, 2746358 is 010 111 100 110 101 100.
Now, substitute each group with a hexadecimal digit.
010 111 100 110 101 100₈ = 2 7 C 6 5 4₁₆.
6. Conversion of hexadecimal to octal.
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In Washington County, 850 homes were sold in 2017. How many homes were sold in the Southwest region?
A)102
B)1,020
C)1,231
D)588
Answers
Option A is correct answer; i.e. 102 homes were sold in 2017.
What is Pie Chart?A pie chart is a type of graph that records data in a circular manner that is further divided into sectors for representing the data of that particular part out of the whole part.
Here,
Total Homes sold in 2017 = 850 homes.
Homes sold in Southwest region = 12 % of the total.
= 0.12 X 850
= 102.
Thus, option A is correct answer; i.e. 102 homes were sold in 2017.
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Which graph shows a dilation?
Answers
The graph that shows a dilation among the given graphs is; Graph 1.
Dilation in graphs simply means each side is multiplied by the samescale factor. What this means is that the ratio of each dilated side to their
respective old sides before dilation must be the same scale factor.
First Graph; We can see it is a rectangle and the pre-dilated image has
2 units along the y - axis and 4 units across the x-axis. After dilation, it now
has 4 units along the y - axis and 8 units across the x-axis. This means the
scale factor in both axis are; 4/2 = 2 and 8/4 = 2. They are both the same
scale factors and as such this graph shows a dilation.
For the second, third and fourth graphs, the scale factors after dilation
are not equal for both axis and as such they do not represent dilation.
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Arrange in ascending, then
descening order
Answers
Answer:
Ascending: 6.0123, 6.0321, 6.321, 6.331, 60.123
Descending: 60.123, 6.331, 6.321, 6.0321, 6.0123
En una caja de 50 lapiceros, 15 son del color rojo, 10 son de color azul, 12 son de color verde y el resto son de color negro¿que fraccion del total son de color negro?
Answers
Answer:
13/50
Step-by-step explanation:
En la caja de 50 lapiceros, hay 15 son rojos, 10 son azules, 12 son verdes y el resto son negros.
La cantidad de plumas que no son negras son:
15 + 10 + 12 = 37
Por lo tanto, el número de plumas negras son:
50-37 = 13
Por lo tanto, la fracción de los lapiceros negros es:
13/50
a rectangular room is times as long as it is wide, and its perimeter is meters. find the dimension of the room.
Answers
Answer: Use a variable
w
to represent the width of the room.
From the given information find that
10
w
=
80
, hence
w
=
8
.
So the room is
8
meters by
32
meters.
Explanation:
Let
w
represent the width of the room in meters.
Then the length of the room is
4
w
.
So the perimeter of the room is
w
+
4
w
+
w
+
4
w
=
10
w
.
Given that the perimeter is
80
meters, that translates as:
10
w
=
80
Divide both sides by
10
to get
w
=
8
.
Hence the width of the room is
8
meters and the length is
4
w
=
32
meters.
Step-by-step explanation:
The dimensions of the room are 5 meters long and 5 meters wide.
The perimeter of a rectangular room is equal to twice the sum of its length and width. In this case, the perimeter of the rectangular room is equal to 2 x (length + width) = 10 meters.
Therefore, we can write:
2 x (L + W) = 10
To find the dimensions of the room, we need to solve the equation for L and W.
L + W = 5
L = 5 - W
Substitute this equation for L in the original equation:
2 x (5 - W + W) = 10
2 x (5) = 10
10 = 10
Therefore, L = 5 and W = 5, so the dimensions of the room are 5 meters long and 5 meters wide.
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What are the domain and range of the step function with the equation below?
fx)=-3[x]
Answers
The answer is Option C <3
The domain and range of the step function with the equation; f(x)=-3[x] is; the set of all real numbers in both cases.
What is the domain and range of the function?The domain of a function is the set of all possible input values of the function, while the range of the function is the set of all possible output values of the function.
On this note, the function f(x)=-3[x] given has its domain and range to be the set of all real numbers.
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Find the inverse: y = 0.3ˣ
If you could explain the steps too that would be really helpful! :)
Answers
Answer:
y = 0.3x
Step-by-step explanation:
Simplifying
y = 0.3x
Solving
y = 0.3x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 0.3x
Select all of the following that are ordered pairs of the given function.
f(x) = 3 - 2x
(-2,-1)
(-1,5)
(0, 3)
(1, 0)
(2,-1)
Answers
Answer:
(-1, 5), (2, -1), (0, 3)
Which value of r indicates a stronger correlation: r = 0.721 or r = - 0.912? Explain your reasoning.A. r = 0.721 represents a stronger correlation because 0.721 > - 0.912B. r = 0.721 represents a stronger correlation because |-0.912|>|0.721|C. r = -0.912 represents a stronger correlation because |-0.912|>|0.721|D. r = -0.912 represents a stronger correlation because 0.721 > - 0.912
Answers
The value of r that indicates a stronger correlation is option (C) r = -0.912 represents a stronger correlation because |-0.912|>|0.721|
The value of the correlation coefficient, denoted by "r", ranges from -1 to 1. A correlation of -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The absolute value of the correlation coefficient (|r|) represents the strength of the correlation, where the closer |r| is to 1, the stronger the correlation is.
In this case, r = 0.721 indicates a moderate positive correlation, while r = -0.912 indicates a strong negative correlation. The absolute value of -0.912 is greater than the absolute value of 0.721, indicating that the strength of the negative correlation is stronger than the strength of the positive correlation.
Therefore, the correct option is (C) r = -0.912 represents a stronger correlation because |-0.912|>|0.721|
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determina el termino que hace falta en cada trinomio, de modo que sea trinomio cuadrado perfecto. luego, factorizalo
1. 9n6-18n3+?
2. 10x5n+25+?
3. 3xnyn+9x2n+?
porfavor es urgente
Answers
Answer:
1) El término faltante es \(b^{2} = 9\). La forma factorizada del polinomio es \((\pm 3 \cdot n^{3} \mp 3)^{2}\), 2) El término faltante es \(\pm 10^{\frac{3}{2} }\cdot x^{\frac{5}{2}\cdot n }\). La forma factorizada puede ser \((\pm \sqrt{10} \cdot x^{\frac{5}{2}\cdot n} \pm 5)^{2}\) o \((\pm \sqrt{10} \cdot x^{\frac{5}{2}\cdot n} \mp 5)^{2}\), 3) El término faltante es \(\frac{1}{4} \cdot y ^{2\cdot n}\). La forma factorizada es \((\pm 3 \cdot x^{n} \pm \frac{1}{2}\cdot y^{n})^{2}\).
Step-by-step explanation:
(This exercise is presented in Spanish and therefore explanation will be held in such language)
Un trinomio cuadrado perfecto es una expresión algebraica que responde a la siguiente identidad:
\((a + b)^{2} = a^{2} + 2 \cdot a \cdot b + b^{2}\)
Este ejercicio pide completar cada trinomio cuadrado perfecto con el componente faltante:
1) \(9\cdot n^{6} - 18 \cdot n^{3}...\)
El término central implica el producto
\(a = \pm 3\cdot n^{3}\)
\(2\cdot a \cdot b = - 18 \cdot n^{3}\)
\(2\cdot (\pm 3\cdot n^{3})\cdot b = -18\cdot n^{3}\)
\(\pm 6\cdot n^{3}\cdot b = -18 \cdot n^{3}\)
\(b = \mp \frac{18\cdot n^{3}}{6\cdot n^{3}}\)
\(b = \mp 3\)
El término faltante es \(b^{2} = 9\). La forma factorizada del polinomio es \((\pm 3 \cdot n^{3} \mp 3)^{2}\).
2) \(10\cdot x^{5\cdot n} + ... + 25\)
\(a^{2} = 10\cdot x^{5\cdot n}\)
\(a_{1} = +\sqrt{10}\cdot x^{\frac{5}{2}\cdot n }\) o \(a_{2} = -\sqrt{10}\cdot x^{\frac{5}{2}\cdot n }\)
\(b^{2} = 25\)
\(b_{1} = 5\) o \(b_{2} = -5\)
Existen dos posibles soluciones (y cuatro combinaciones posibles):
Posibilidad 1:
\(2\cdot a_{1}\cdot b_{1} = 2\cdot (\sqrt{10}\cdot x^{\frac{5}{2}\cdot n }) \cdot (5)\)
\(2\cdot a_{1}\cdot b_{1} = 10^{\frac{3}{2} }\cdot x^{\frac{5}{2}\cdot n }\)
Posibilidad 2:
\(2\cdot a_{2}\cdot b_{1} = 2\cdot (-\sqrt{10}\cdot x^{\frac{5}{2}\cdot n }) \cdot (5)\)
\(2\cdot a_{1}\cdot b_{1} = -10^{\frac{3}{2} }\cdot x^{\frac{5}{2}\cdot n }\)
El término faltante es \(\pm 10^{\frac{3}{2} }\cdot x^{\frac{5}{2}\cdot n }\). La forma factorizada puede ser \((\pm \sqrt{10} \cdot x^{\frac{5}{2}\cdot n} \pm 5)^{2}\) o \((\pm \sqrt{10} \cdot x^{\frac{5}{2}\cdot n} \mp 5)^{2}\).
3) \(9\cdot x^{2\cdot n} + 3\cdot x^{n}\cdot y^{n} +...\)
\(a = \pm 3\cdot x^{n}\)
\(2\cdot a \cdot b = 3\cdot x^{n}\cdot y^{n}\)
\(2\cdot (\pm 3 \cdot x^{n})\cdot b = 3 \cdot x^{n}\cdot y^{n}\)
\(\pm 6 \cdot x^{n}\cdot b = 3 \cdot x^{n}\cdot y^{n}\)
\(b = \pm \frac{3\cdot x^{n}\cdot y^{n}}{6\cdot x^{n}}\)
\(b = \pm \frac{1}{2}\cdot y^{n}\)
\(b^{2} = \frac{1}{4}\cdot y^{2\cdot n}\)
El término faltante es \(\frac{1}{4} \cdot y ^{2\cdot n}\). La forma factorizada es \((\pm 3 \cdot x^{n} \pm \frac{1}{2}\cdot y^{n})^{2}\).
answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
Answers
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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Lilian's favorite magazine published 505050 issues last year, and each issue contained approximately 250250250 pages. She wants to take a cluster random sample of about 1{,}0001,0001, comma, 000 total pages to estimate what proportion of all pages contained an advertisement.
Answers
Answer:
a. Randomly select 4 issues, and examine every page in those issues
Step-by-step explanation:
Based on the information given the since each of the issue contained 250 pages in which
She as well wants to take a RANDOM SAMPLE of 1,000 total pages which means that the best strategies that will accomplish HER INTENDED DESIGN is for her to RANDOMLY SELECT 4 ISSUES and thereby examine every of the page in those issues. The RANDOM SAMPLE numbers of issue to select is calculated using this formula
Random sample=Total pages /Number of pages
Let plug in the formula
Random sample=1,000/250
Random sample=4 issues
Therefore the strategies that will accomplish HER INTENDED DESIGN is for her to RANDOMLY SELECT 4 ISSUES, AND EXAMINE EVERY PAGE IN THOSE ISSUES.
The proportion of the pages that are involved in the advertisement would be:
A). Randomly select 4 issues, and examine every page in those issues.
Given that,
Total pages = 250
Sample opted randomly = 50
As we know,
Random sample \(= Total pages /Number of pages\)
= \(1,000/250\)
∵ Random sample \(= 4\)
Therefore,
4 samples are opted randomly and every page is evaluated in these concerns.
Thus, option A is the correct answer.
Learn more about "Proportion" here:
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Please help me out!
Answers
Answer:
the answer is a because it's the best one you could pick
Answer:
B
Step-by-step explanation:
The sqaure root of 140 is 11.8321595662 and you would round to the nearest tenth and get 11.8
a particle is accelerated from 1m/s to 5m/s over a distance of 15m. find the acceleration and the time taken
Answers
The particle has an acceleration of 4m/s² 4m/s² and it takes 3s to go from 1 m/s to 5 m/s over a distance of 15 m.
To find the acceleration and the time taken for a particle that is accelerated from 1 m/s to 5 m/s over a distance of 15 m, we can use the equations of motion.
The first equation of motion relates distance, initial velocity, final velocity, acceleration, and time:
\(v^2_f =v^2_i +2ad\)
where
\(v_f\) is the final velocity, \(v_i\) is the initial velocity, a is the acceleration, and d is the distance traveled.
We have:
\(v_f\) =5m/s
\(v_i\) =1m/s
d=15m
Substituting these values into the equation, we get:
5²=1+2ad
25=1+2ad
Simplifying further:
2ad=24
ad=12
Now, we need another equation to solve for the time taken. The equation is:
\(v_f\) = \(v_i\) +at
Substituting the known values:
5=1+a⋅t
4=a⋅t
From the previous equation, we know that
ad=12, so we can substitute that value:
4=12/t
Cross-multiplying, we have:
4t=12
= 3s
t=3s
The acceleration is a = 12/3 = 4m/s² and the time taken is 3s t=3s.
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The acceleration is \(0.8 m/s^2\) and the time taken is 5 seconds
What is acceleration ?The laws of motion can be applied
Initial velocity (u), terminal velocity (v), acceleration (a), and distance (s) are all related by the following equation:
\(v^2 = u^2 + 2as\)
Given:
Initial velocity (u) = 1 m/sFinal velocity (v) = 5 m/sDistance (s) = 15 mPlugging in the values, we have:
\((5)^2 = (1)^2 + 2a(15)\)
25 = 1 + 30a
Subtracting 1 from both sides:
24 = 30a
Dividing both sides by 30:
\(a = 24/30 = 0.8 m/s^2\)
So, the acceleration is \(0.8 m/s^2.\)
Now, to find the time taken, we can use the equation:
v = u + at
Given:
Initial velocity (u) = 1 m/s
Final velocity (v) = 5 m/s
Acceleration (a) = \(0.8 m/s^2\)
Plugging in the values, we have:
5 = 1 + 0.8t
Subtracting 1 from both sides:
4 = 0.8t
Dividing both sides by 0.8:
t = 4/0.8 = 5 seconds
So, the time taken is 5 seconds.
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