Answer:
161.29Step-by-step explanation:
7742.1/48 = 161.29375
_________________________________________
if you plug that in into a calculator
Round to the nearest hundredth: 161.29375
you know it stays the same because 3 rounds down.
so you get 161.29
_________________________________________
Hope this helps :)
Random simple service of voters were taken in three different regions of a county that has a voter population of 55,000. On average 42 out of 100 voters supported issue seven and 58 oppose it estimated number of voters in the county who support the issue.
Answer: 23100 voters
Step-by-step explanation:
42*55000=2310000
2310000/100=23100 voters
Simplify (2x-3y)^8 please
Answer: well solve what's in the parentheses first
Step-by-step explanation: that is the first step
PLEASE ANYONE HELP ME? :D
9514 1404 393
Answer:
B, C
Step-by-step explanation:
The equation for the circumference C of a circle of diameter d is ...
C = πd
That is, π is the constant of proportionality between circumference and diameter.
Clearly, when the diameter is 1, the circumference will be π.
__
π is the circumference when diameter is 1.
π is the constant of proportionality between circumference and diameter.
A farmer in the south exports 1220kg of mangoes in one week one week has 7 days, how many kilogram of mangoes does the farmer export in two days?
Answer:
348.6 kg
Step-by-step explanation:
(1220 kg / 7 days) x 2 days = 348.6 kg
Find m/_U. Write your answer as an integer or as a decimal rounded to the nearest tenth.
The measure of angle U = 41.83 degree.
In the given right angle triangle
VW = 6
UV = 9
Since sinΘ = (opposite side)/(hypotenuse)
Therefore,
sin U = VW/UV
= 6/9
= 0.667
Take inverse of sin both sides
∠U = arcsin(0.667)
= 41.83
Hence ∠U = 41.83 degree
To learn more about triangle visit:
brainly.com/question/1058720
#SPJ1
I need to know the percentage of drivers who are at least 45. Using the table in the picture.
The percentage of drivers who are at least 45 is 62%
How to determine the percentage of drivers who are at least 45.From the question, we have the following parameters that can be used in our computation:
The table of values
From the table, we have
Age 45 = 62 percentile
When represented properly
So, we have
Age 45 = 62%
This means that the percentage of drivers who are at least 45 is 62%
Read more abot percentage at
https://brainly.com/question/24877689
#SPJ1
If two angles are vertical, the sum of their measures is equal to the measure of a right angle true or false?
Step-by-step explanation:
False,
Vertical angles isn't always complementary l
Answer:
true
Step-by-step explanation:
If two angles are congruent, their measures are equal.
There are 70 ripened tomatoes in a garden. The ripened tomatoes make up 35% of all the tomatoes in the garden.
What is the total number of tomatoes in the garden?
Enter your answer in the box.
Plz help u have to do all 3 parts
Answer:
all you have too do is 750*750 = 562,500
Step-by-step explanation:
i hope this helps and pleas give me a stare and a heart thank you so much if you do and if you do not still thank you
An office will increase salary to its top 8% employees on the basis of a performance score the office created for each employee. The performance score is approximately normal with mean 82.5 and standard deviation 9.25. How high must an employee score in order to qualify for increase in the salary?
Answer:
An employee's score in order to qualify for increase in the salary must be higher than 95.45.
Step-by-step explanation:
Let X represent the performance score of employees.
It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.
It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.
That is, the probability to qualify for increase in the salary is,
P (X > x) = 0.08
⇒ P (X < x) = 0.92
⇒ P (Z < z) = 0.92
The corresponding z-value is,
z = 1.40
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.40=\frac{x-82.5}{9.25}\\\\x=82.5+(1.40\times 9.25)\\\\x=95.45\)
Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.
Two runners in a marathon determine that the angles of elevation of a news helicopter covering the race are 38 degrees and 45 degrees. If the helicopter is 1700 feet above the finish line, how far apart are the runners? (Round your answer to the nearest foot) *
Answer:
476 feet
Step-by-step explanation:
The given problem when graphically depicted forms a right triangle which has been attached below.
We want to determine the distance between Runner A and Runner B in the diagram.
Using Trigonometric Ratios
In Right Triangle AHC
\(\tan 38^\circ =\dfrac{1700}{AC} \\$Cross multiply$\\AC *\tan 38^\circ =1700\\AC =\dfrac{1700}{\tan 38^\circ}\\\\=2175.9$ feet\)
In Right Triangle BHC
\(\tan 45^\circ =\dfrac{1700}{BC} \\$Cross multiply$\\BC *\tan 45^\circ =1700\\BC =\dfrac{1700}{\tan 45^\circ}\\\\=1700$ feet\)
The distance between the two runners,
AB=AC-BC
=2175.9-1700
=475.9
=476 feet ( to the nearest foot)
Find the zeros of the quadratic function: y= 6(7x + 9)(8x - 3).
A) (-9/7,0), (3/8,0)
B)(-7/9,0), (8/3,0)
C) (-3/8,0), (°/7,0)
D) (-8/3,0), (7/9,0)
Answer:
A) (-9/7,0), (3/8,0)
Step-by-step explanation:
Zeros of a quadratic function:
x for which y = 0.
In this question:
\(y = 6(7x + 9)(8x - 3)\)
It's 0 if one of the factors is 0. 6 is never 0, now about the other to:
\(7x + 9 = 0\)
\(7x = -9\)
\(x = -\frac{9}{7}\)
So (-9/7, 0) is a zero of the quadratic function.
The other is:
\(8x - 3 = 0\)
\(8x = 3\)
\(x = \frac{3}{8}\)
(3/8,0) is the other zero.
Thus, the correct answer is given by option A.
Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
For more such questions on points, click on:
https://brainly.com/question/26865
#SPJ8
A box is 15cm long, 4cm wide and 8cm high. Another box is 10cm long, 9cm wide and 4cm high. which box has a larger volume? what is the difference in volume between the two boxes
Answer:
Differences=
\( {120cm}^{3} \)
Step-by-step explanation:
Volume of first box=15cm×4cm×8cm
\(480 {cm}^{3} \)
Volume of second box=10cm×9cm×4cm
\( {360cm}^{3} \)
what does the graph of f(x)=-2/3x+490 represent
Answer:
search that question up on brainly it got the answer bruu
Step-by-step explanation:
8 Select the correct answer from each drop-down menu. Some of the images in the diagram are images of polygon 1 from similarity transformations. Graph shows 5 polygons plotted on coordinate plane. Polygon 1 is at A(4, 14), B(6, 22), C(18, 22), D(22, 14). Polygon 2 is at E(3, 10), F(5, 8), G(7, 8), H(9, 10). Polygon 4 is at M(15, 8), N(16, 12), O(22, 12), P(24, 8). Below are polygons 3 and 5. Polygon and polygon are similar to polygon 1. Reset Next
It should be noted that Polygon 3 and polygon 4 are similar to polygon 1.
What exactly is polygon?In geometry, it should be noted that a polygon is a plane figure which is described by a finite number of straight line segments that are connected in order to form a closed polygonal chain.
In this case, the bounded plane region, the bounding circuit, may be called a polygon. Also, a similarity transformation is the conformal mapping whose transformation matrix are identical.
In this case, it should be noted that Polygon 3 and polygon 4 are similar to polygon 1.
Learn more about polygon on:
https://brainly.com/question/24966296
#SPJ1
help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
More can be learned about angle measures at https://brainly.com/question/25716982
#SPJ1
Can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square? Explain.
Can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square?
(Picture, and answer options below)
1 From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
2 The reason for the determination made in the previous step is A. From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
How to explain the parallelogramThe diagonals of a parallelogram bisect each other, but this is true for all parallelograms, regardless of whether they are squares, rectangles, or rhombuses.
Therefore, the given information is not sufficient to determine whether the parallelogram is a rhombus, a rectangle, or a square.
In conclusion, from the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
Learn more about parallelogram on
https://brainly.com/question/970600
#SPJ1
Anna needs to purchase some new clothes. for each pair of jeans she will buy three sweaters. how many sweaters can she purchase if she has $255?
jeans cost: $40 each
sweaters cost: $15 each
use elimination method for solving systems of equations.
Answer:
3
Step-by-step explanation:
each time Anna purchased a pair of jeans she spends 40+15(3)=40+45=$85, including the sweaters. to find how many jeans and sweaters she buys $255÷$85=3
Write an equation in slope-intercept form (-5,-7);y=-2x+4
Answer:
Step-by-step explanation:
First, let us substitute x and y values: -7 = -2(-5) + 4
Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).
Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:
14 + b = -7
by simplifying, we can conclude that b = -21
Finally, we can plug in the b-value into our original equation:
y = -2x + 4 - 21
After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).
rlly need help on this who ever answers correctly I'll give BRAINLIEST
Answer:
the answer is found at option D
Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
how many values of x will satisfy the equation -2|3x-5|=0
Answer:
1 value
Step-by-step explanation:
spicifically 5/3
The x satisfy only 1 value and x is \(\frac{5}{3}\) .
What is modulus?The modulus function, which is also called the absolute value function gives the magnitude or absolute value of a number irrespective of the number being positive or negative. It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
According to the question
-2|3x-5|=0
Step1: Dividing -2 both side
|3x-5|=0
Step 2: Open modulus
3x-5=0 and - 3x+5=0
3x=5 and - 3x = - 5
x = \(\frac{5}{3}\)
Hence, the x satisfy only 1 value and x is \(\frac{5}{3}\) .
To know more about modulus here:
https://brainly.com/question/13103168
#SPJ2
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one
baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has
no effect, so the probability of a girl is 0.5. Assume that the groups consist of 45 couples. Complete parts (a) through (c)
below.
a) The value of the mean is μ = 22.5
The value of the standard deviation is σ = 3.5
b) The Value of 15 girls or fewer is significantly low.
The value of 30 girls or more is significantly high.
c) The result 36 is significantly high because 36 is greater than 30 girls. A result of 36 girls is not necessarily definitive proof of the method's effectiveness.
What is the standard deviation?The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.
According to the given informationa) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.
Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.
The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:
μ = np = 45 x 0.5 = 22.5
Therefore, we expect to see around 22-23 girls in a group of 45 couples.
The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:
σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535
Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.
b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.
Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.
Significantly high:
Mean + 2σ = 22.5 + 2(3.535) = 29.57
Significantly low:
Mean - 2σ = 22.5 - 2(3.535) = 15.43
c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.
Mean + 2σ = 22.5 + 2(3.535) = 29.57
Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.
This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.
It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.
To know more about the standard deviation visit:
brainly.com/question/13905583
#SPJ1
find an equation that passes through (1 ,2) and is parallel y=3x-9
Answer:
A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the point (1, 2)
Substituting the values we get:
y - 2 = 3(x - 1)
Simplifying the equation we get:
y - 2 = 3x - 3
y = 3x - 1
Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .
;>
(b) Do you think it would be a good idea to rotate the candidate choices in
the question? Why?
A. Yes, to avoid response bias
B. Yes, to confuse the respondents
O C. Yes, to make the resulting counts all closer to each other
D. There is no need to rotate the choices.
From the information, it would be a good idea to rotate the candidate choices A. Yes, to avoid response bias.
Response bias
From the complete question, it should be noted that a good idea to rotate the candidate choices in order to avoid response bias.
When conducting any survey that has multiple choices, the respondents have a tendency to quickly finish up the survey by answering the survey questions quickly.
In this process, this can lead to bias towards the first and last choice. Since the sample of 20 registered voters was surveyed, it is wise to rotate the candidate choices.
Learn more about response bias on:
https://brainly.com/question/21885738
BD bisects ZABC.Find mZABD, mZCBD, and mZABC.Ал(3x + 6)оB [7x18)CmZABD =mZCBD =mZABC =
We have the following:
Being a line bisects means that it divided the angle into equal parts, as results there are two equal angles
\(\begin{gathered} \text{ABD}=\text{CBD} \\ \text{ABD}=3x+6 \\ \text{CBD}=7x-18 \end{gathered}\)replacing:
\(\begin{gathered} 3x+6=7x-18 \\ 7x-3x=6+18 \\ 4x=24 \\ x=6 \end{gathered}\)now, replacing x
\(\begin{gathered} \text{ABD}=3\cdot6+6=18+6=24 \\ \text{CBD}=7\cdot6-18=42-18=24 \\ \text{ABC}=24+24=48 \end{gathered}\)Please tell me how to find the limit of: lim (x -> 0) (sin(x)) / x
Step-by-step explanation:
The limit of (sin(x)) / x as x approaches 0 is a well-known limit in calculus, known as the limit definition of the derivative of the sine function.
lim (x -> 0) (sin(x)) / x = 1
This limit can be proven using L'Hopital's rule or by considering the Taylor series expansion of the sine function about x = 0:
sin(x) = x - (x^3) / 6 + (x^5) / 120 + ...
As x approaches 0, the higher order terms in the Taylor series become arbitrarily small, and the expression (sin(x)) / x approaches 1. This shows that the limit of (sin(x)) / x as x approaches 0 is equal to 1.
fill in the missing values.
help!!
it is 4 3 2 1 5 6 4 3 3. 6 5 3 3 5 5 3 4 5 4
The same sequence may be defined in three ways: 1) f(x) = 3x + 4 for x = {1, 2, 3, ...}, 2) a1 = 4 and an + 1 = an + 3 for n = {1, 2, 3, ...} and 3) an = 4 + 3(n − 1) for n = {1, 2, 3, ...}.
They are all supposed to generate the same values, but one version may contain an error. If one version contains an error, identify the one with the error and fix it.
Answer:
its B
Step-by-step explanation: