Answers
Answer:
It would be 2188
Step-by-step explanation:
The sum of first seven is 2188 according to the general pattern the series is following in which each term is multiplied by 3 and given either a positive or negative sign opposite to previous term
It would be
4-12+36-108+324-972+2916
Which equals to 2188
Related Questions
This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample. simple random sample stratified random sample cluster random sample Voluntary random sample
Answers
The correct sampling method described in the question is a stratified random sample among the simple random sample, stratified random sample, cluster random sample and Voluntary random sample
The sampling method described in the question is a stratified random sample.
In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.
In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.
Other sampling methods mentioned in the question are:
Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.
Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.
Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.
Therefore, the correct sampling method described in the question is a stratified random sample.
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4.) Of all listeners who call the local radio station on the telephone, 60% are between the ages of 15 and 25. A random number generator is used to simulate 20 groups representing the next 6 listeners who will call the radio station.
a.) What numbers could be used to represent the people inside and outside the 15 to 25 age range?
b.) Based on the trials below, what is the probability that the next six callers are all within the age range?
(2, 3, 5, 9, 1, 6) (2, 0, 2, 2, 7, 2) (9, 9, 9, 5, 5, 0) (0, 4, 9, 9, 4, 0)
(3, 7, 7, 2, 5, 8) (2, 5, 5, 2, 4, 1) (6, 4, 6, 7, 9, 4) (5, 2, 9, 7, 8, 3)
(4, 7, 1, 3, 4, 3) (7, 0, 7, 3, 3, 5) (8, 6, 3, 0, 0, 6) (9, 1, 0, 7, 7, 7)
(2, 6, 3, 1, 1, 7) (8, 0, 0, 8, 3, 7) (9, 1, 8, 7, 4, 6) (9, 3, 6, 0, 5, 0)
(0, 0, 8, 3, 7, 8) (2, 5, 2, 7, 3, 5) (3, 5, 1, 5, 0, 2) (5, 1, 9, 9, 7, 4)
Answers
Answer:
(2, 3, 5, 9, 1, 6) (2, 0, 2, 2, 7, 2) (9, 9, 9, 5, 5, 0) (0, 4, 9, 9, 4, 0)
(3, 7, 7, 2, 5, 8) (2, 5, 5, 2, 4, 1) (6, 4, 6, 7, 9, 4) (5, 2, 9, 7, 8, 3)
(4, 7, 1, 3, 4, 3) (7, 0, 7, 3, 3, 5) (8, 6, 3, 0, 0, 6) (9, 1, 0, 7, 7, 7)
(2, 6, 3, 1, 1, 7) (8, 0, 0, 8, 3, 7) (9, 1, 8, 7, 4, 6) (9, 3, 6, 0, 5, 0)
(0, 0, 8, 3, 7, 8) (2, 5, 2, 7, 3, 5) (3, 5, 1, 5, 0, 2) (5, 1, 9, 9, 7, 4)
Step-by-step explanation:
suppose this player attempts 10 shots in a game and makes only 3 of them. does this provide convincing evidence that she is less than a 47% shooter?
Answers
No, because it is plausible that she would make 3 or fewer shots by chance alone.
What is convincing evidence?
The proof is sufficient evidence or a sufficient argument for the truth of a proposition. The concept applies in a variety of disciplines, with both the nature of the evidence or justification and the criteria for sufficiency being area-dependent.
if our test statistic is: positive and greater than the critical value, then we have sufficient evidence to reject the null hypothesis and accept the alternative hypothesis. positive and lower than or equal to the critical value, we must accept the null hypothesis.
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A company makes cones out of solid foam. Each cone has a height of inches, and its base has a radius of inches. How much foam is needed to make cones? Use for , and do not round your answer.
Answers
Answer:
\(Amount = 55440in^3\)
Step-by-step explanation:
Given [Missing piece]
\(h = 9in\) --- height
\(r = 7in\) --- radius
\(n = 120\) --- number of cones
Required
How much foam for 120 cones
First, calculate the volume of 1 cone
\(V = \frac{1}{3}\pi r^2h\)
\(V = \frac{1}{3} * \frac{22}{7} * 7^2 * 9\)
\(V = \frac{1}{3} * 22 * 7 * 9\)
\(V = 22 * 7 * 3\)
\(V = 462in^3\)
So, the amount of foams needed for 120 is:
\(Amount = 120 * V\)
\(Amount = 120 * 462in^3\)
\(Amount = 55440in^3\)
license plate numbers in a certain state consists of seven characters. the first character is a digit (0 through 9). the next four characters are capital letters (a through z) and the last two characters are digits. therefore, a license plate number in this state can be any string of the form:
Answers
Different license plate numbers are possible are 456976000.
From the problem license plate number can be
DZZZZDD type of strings where,
D - digit(0 - 9) = total 10 numbers are there
Z- Characters(a - z) = total 26 characters are there.
At each position we try to put digit or characters according to question.
For D we have 10 possibilities and Z we have 26 possibilities.
DZZZZDD putting all the possibilities for each characters
10*26*26*26*26*10*10 = 456976000.
Given question is incomplete, Complete question:
License plate numbers in a certain state consists of seven characters. The first character is a digit (0 through 9). The next four characters are capital letters (A through Z) and the last two characters are digits. Therefore, a license plate number in this state can be any string of the form: Digit-Letter-Letter-Letter-Letter-Digit-Digit
How many different license plate numbers are possible?
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if there are a few very small values in a data set compared to the rest of the data, the mean will be larger than the median. True/False ?
Answers
The given statement would be False.
What is Mean and Median ?
Mean: A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. Median: When a data collection is ordered from least to largest, the median is the midway value.
If there are a few very small values in a data set compared to the rest of the data, the median will be larger than the mean.
The median is the middle value in a set of data and is not affected by extreme values, while the mean is the average of all values in the data set and is influenced by extreme values.
Therefore, The given statement would be False.
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Write an equation in slope-intercept form for the line.
(-7,2) and (5,8)
Answers
The equation in slope-intercept form for the line that passes from the points (-7,2) and (5,8) is y = (1/2)x -3/2.
We know that, the slope intercept form is given by:-
y = mx + b
Where,
(x,y) is the ordered pair of every point on the line
m is the slope of the line
b is the y-intercept of the line
We know that, slope = (8-2)/(5-(-7)) = 6/12 = 1/2
Putting (-7,2) in (x,y) and m = 1/2 in the slope intercept form, we get,
2 = (1/2)(-7) + b
2 = -7/2 + b
b = -3/2
Hence, the slope intercept form of the line is y = (1/2)x -3/2.
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It appears that over the past 50 years, the number of farms in the United States declined while the average size of farms increased. The following data provided by the U.S. Department of Agriculture show five-year interval data for U.S. farms. Use these data to develop the equation of a regression line to predict the average size of a farm (y) by the number of farms (x). Discuss the slope and y-intercept of the model.
Year Number of Farms (millions) Average Size (acres)
1960 5.67 209
1965 4.66 258
1970 3.99 302
1975 3.38 341
1980 2.92 370
1985 2.51 419
1990 2.45 427
1995 2.28 439
2000 2.16 457
2005 2.07 471
2010 2.18 437
2015 2.10 442
Answers
Regression line: The regression line can be given as follows: y= ax + b Where, x is the independent variable (Number of Farms) y is the dependent variable (Average Size) a is the slope of the line b is the y-intercept of the line The table for these variables is given below.
Slope: The slope of the regression line can be calculated as follows:(∆y / ∆x) = (y2 - y1) / (x2 - x1)Substituting the values of x1 = 5.67, y1 = 209, x2 = 2.10, and y2 = 442, we get:(∆y / ∆x) = (442 - 209) / (2.10 - 5.67)≈ 77.8Thus, the slope of the regression line is approximately 77.8. This means that the average size of farms increased by around 77.8 acres for every one million decline in the number of farms.
Y-intercept:The y-intercept of the regression line can be found by substituting the slope and any one set of values for x and y in the equation of the line. Using x = 5.67 and y = 209, we get:209 = (77.8) (5.67) + bb = 170.5
Thus, the y-intercept of the regression line is approximately 170.5. This means that if the number of farms were 0, the average size of farms would be around 170.5 acres.
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Please help, need urgently. Thanks.
Answers
Answer:
\(60cm^{2}\)
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
If we look at this shape, we can split it into 3 separate shapes (shown below)
The top rectangle in blue has a length of 2cm and a width of 10cm. We know the width is 10 because if we were to look at the width of the yellow rectangle and add on the original width you would get:
2cm + 8cm = 10cmNow that we know that the length is 2 and the width is 10, we can use the following formula to solve for the area of a rectangle:
l × w = h(Where l = length and h = height)
Inserting 2 in for our length and 10 for our width:
2 × 10 = 20Therefore, the area of the blue rectangle is \(20cm^{2}\).
Looking at the bottom green rectangle, it has the same dimensions as the blue, so it will also have an area of \(20cm^{2}\).
The same goes for the yellow rectangle. It has a length of 10 and a width of 2. These are also the same dimensions as before, so we can once again conclude that the area of the yellow rectangle is \(20cm^{2}\)
We have 3 rectangles with areas of \(20cm^{2}\) each, so we can use either one of these expressions to solve for the entire area:
\(20cm^{2}+20cm^{2}+20cm^{2}=60cm^{2}\)Or we can use:
\(20cm^{2}\) × 3 = \(60cm^{2}\)Therefore the area of the entire shape is \(60cm^{2}\)
Solomon bought a $65 000 corporate bond. The bond earns 4.2%, compounded monthly. After 3 years, the interest rate changed to 5.2%, compounded semi-annually. Determine the value of
Solomon's investment after a total of 8 years. Show your work
Answers
If Solomon bought a $65 000 corporate bond. The value of Solomon's investment after a total of 8 years is $95,280.2.
How to find the value?To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = the future value of the investment
P = the initial principal
r = the interest rate
n = the number of times the interest is compounded per year
t = the number of years
We can break down the problem into two parts: the first 3 years when the interest is compounded monthly, and the remaining 5 years when the interest is compounded semi-annually.
For the first 3 years, we have:
P = $65,000
r = 4.2% = 0.042
n = 12 (compounded monthly)
t = 3
So the future value of Solomon's investment after 3 years is:
A1 = $65,000(1 + 0.042/12)^(12*3)
= $73,712.12
Now we can use this amount as the new principal for the remaining 5 years, where the interest is compounded semi-annually:
P = $73,372.27
r = 5.2% = 0.052
n = 2 (compounded semi-annually)
t = 5
So the future value of Solomon's investment after a total of 8 years is:
A2 = $73,712.12 (1 + 0.052/2)^(2*5)
= $95,280.29
Therefore, the value of Solomon's investment after a total of 8 years is approximately $95,280.29.
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Firm B is willing to be acquired by firm A at a price of $34 a share in either cash or stock. The incremental value of the proposed acquisition is estimated at $80,000. Firm A Firm B Number of shares 40000 12000 Price per share $18.00 $31.00 Debt $0 $0 How many shares of outstanding stock will firm AB have if the merger is a cash deal? A) 43,600 B) 52,000 C) 36,400 D) 40,000 E) 46,000
Answers
Firm AB will have 916,471 outstanding shares if the merger is a cash deal. Therefore, option B (52,000) is the correct answer.
Total acquisition cost = (Number of shares of firm B) × (Price per share of Firm B) × (Incremental value)
Total acquisition cost = 12,000 × $31 × $80,000
Total acquisition cost = $29,760,000
If the acquisition is a cash deal, Firm A will pay $34 per share of firm B.
Therefore, the total number of shares that Firm A will get can be calculated as follows:
Number of shares of Firm B that will be sold = Total acquisition cost / Price per share
Number of shares of Firm B that will be sold = $29,760,000 / $34
Number of shares of Firm B that will be sold = 876,471 rounded to the nearest whole number.
However, the number of shares of outstanding stock of Firm AB can be calculated as follows:
Number of shares of Firm A outstanding = 40,000
Number of shares of Firm B outstanding = 12,000
Total number of shares outstanding = Number of shares of Firm A outstanding + Number of shares of Firm B outstanding
If the acquisition is a cash deal, Firm A will get 876,471 shares of Firm B.
Therefore, the total number of shares that Firm AB will have can be calculated as follows:
Total number of shares outstanding = Number of shares of Firm A outstanding + Number of shares of Firm B that will be sold
And total number of shares outstanding is 40,000 + 876,471
Hence, total number of shares outstanding = 916,471 (rounded to the nearest whole number)
Thus, Firm AB will have 916,471 outstanding shares if merger is cash deal.
Therefore, option B (52,000) is the correct answer.
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Find the amplitude of y = -2 sin x
Answers
Answer:
Amplitude = 2
Step-by-step explanation:
The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x). The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.
Cheers.
CENSUS The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growth is constant, write a linear equation with an integer slope to represent p, Laredo’s population t years after 1990.
Answers
The linear equation with integer slope representing the situation is
p = 5441 t
An algebraic description of a set of points in a coordinate system that form a line is a line equation. A line's numerous points on the coordinate axis are represented as a set of parameters x, y in order to create an algebraic equation known as a line equation. Each line's equation can be used to determine whether or not a given point is on the lines.
The equation of Line is, in fact, a one-degree linear equation.
Population in 1990 = 123000
Population in 2007 = 215500
Difference in population = 215500-123000 = 92500
Rate (slope ) of change of the population
= 92500÷17
= 5441.176 ...
≈ 5441
Hence the linear equation with integer slope to represent the population growth is given by p = 5441 t .
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3 (4x+6) =2 (6x+9)
cc
Answers
Answer:
Infinite Amount of Solutions
Step-by-step explanation:
Step 1: Write equation
3(4x + 6) = 2(6x + 9)
Step 2: Solve for x
Distribute: 12x + 18 = 12x + 18
We see here that both sides of the equation are the same. Therefore, x is equal to infinite amount of solutions.
Another way to think about it is that the 2 lines are the same line. If both lines are the same, then they have infinite amount of solutions.
The average driving distance (yards) and driving accuracy (percent of drives that land in the fairway) for 8 golfers are recorded in the table to the right. Complete parts a through e below.
Player Distance (yards) Accuracy (%)
a. 316.4 46.2
b. 303.8 56.9
c. 310.7 51.8
d. 312.2 53.2
e. 295.5 61.8
f. 290.8 66.
Answers
To complete parts a through, we would need the table that includes the distance (yards) and accuracy (%) values for players a through e. However, only the information for players f and g is provided in the question.
Without the values for players a through e, we cannot calculate or analyze the average driving distance or accuracy for those players. To answer the question accurately, please provide the missing data for players a through e so that we can complete parts a through e and provide a comprehensive analysis of the average driving distance and accuracy for all eight golfers.
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need this in 20 minutes
will leave upvote
If youl can boriow inoner a \( 10 \% \), what 2 the pece of the car? Bound to the roarest cent)
Answers
The price of the car rounded to the nearest cent is $10000.
You can borrow 10% of the price of the car. You are required to find the price of the car rounded to the nearest cent. Let's solve this problem. Let the price of the car be P. Then, you can borrow 10% of the price of the car. So, the amount borrowed is 0.10P. We can express this as:
Amount borrowed + Price of the car = Total amount spent (or owed)
We know that the total amount spent is the price of the car plus the amount borrowed, thus we have:
Amount borrowed + Price of the car = P + 0.10P = 1.10P
Therefore, the price of the car is given as:P = (Amount borrowed + Price of the car)/1.10
Thus, substituting the given value of the amount borrowed and solving for the price of the car, we get:
P = (1,000 + P)/1.10
Multiply both sides by 1.10:
1.10P = 1,000 + P
Solving for P, we get:
P - 1.10P = -1,000-0.10
P = -1,000P = 1,000/0.10P = 10,000
Hence, the price of the car is $10,000 (rounded to the nearest cent).
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Todd is playing a game. each turn he rolls the die (labeled with the numbers 1-6) and spins the spinner . to win, he needs to roll a 2 and spin a 5 on his next turn. calculate the probability he will on his next turn.
Answers
The probability of Todd winning the game on his next turn is 1/48 or approximately 0.02 or 2%.
What is the probability?Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.
Assuming that the die and spinner are fair, the probability of Todd rolling a 2 and spinning a 5 on his next turn are independent events, so we can multiply their probabilities to get the overall probability:
P(rolling a 2) = 1/6 (since there is only one 2 on the die)
P(spining a 5) = 1/8 (since there is only one 5 on the spinner)
Therefore, the probability of Todd winning the game on his next turn is:
P(winning) = P(rolling a 2) x P(spining a 5) = (1/6) x (1/8) = 1/48
Hence, the probability of Todd winning the game on his next turn is 1/48 or approximately 0.02 or 2%.
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PLEASE HELP I DONT GET THISS HELPPP
Answers
9. What is the inverse of y = 10x -2?
Answers
Answer:
Step-by-step explanation:
F-^1(x)+x/10+1/5
Step-by-step explanation:
Using the following equation, find the center and radius of the circle x^2-2x+y^2-6y=26
please show work
Answers
The center of the circle is (1, 3) and the radius is 6.
To find the center and radius of the circle given by the equation x^2-2x+y^2-6y=26, we need to rewrite the equation in a standard form for a circle, which is (x-h)^2 + (y-k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius.
To rewrite the equation, we complete the square for both the x and y terms.
Starting with the x terms:
x^2 - 2x = x^2 - 2x + 1 - 1 = (x - 1)^2 - 1
Now, let's complete the square for the y terms:
y^2 - 6y = y^2 - 6y + 9 - 9 = (y - 3)^2 - 9
Substituting these completed square terms back into the original equation, we have:
(x - 1)^2 - 1 + (y - 3)^2 - 9 = 26
Simplifying the equation:
(x - 1)^2 + (y - 3)^2 = 36
Comparing this with the standard form of a circle equation, we can see that the center of the circle is (1, 3) and the radius is √36 = 6.
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Brianna works at an electronics store as a salesperson. Brianna earns a 4% commission on the total dollar amount of all phone sales she makes, and earns a 4% commission on all computer sales. How much money would Brianna earn in commission on a day that she sold $1900 worth of phones and $1600 worth of computers? How much money would Brianna earn in commission on a day that she sold $xx worth of phones and $yy worth of computers?
Answers
Answer:
P(x)=0.025x+100
Step-by-step explanation:
The 0.025 is 2.5% as a decimal. Then, the +100 is for the base pay amount Hailey receives.
Answer:
Lacy would earn a commission of $104.
Lacy would earn 0.06x dollars on phones sale and 0.02y dollars on computer sales.
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get u a better aswer!
Have a great day! :)
And if u need help HMU and I got you, no points needed:)
Andf thanks for the 25 points! :D
i need help with this question you can get 20 points by answering it
Answers
Answer:
I believe it's 8 3/4
Step-by-step explanation:
Answer:
35/4 or 8 3/4
Step-by-step explanation:
Hi thank goodness yea I am and thank everyone
Answers
The function given is:
\(h(t)=e^{-0.3t}\sin(5t)\)To find the first derivative, we need to use several rules of differentiation.
One of them is the chain rule.
Given two functions f(x) and g(x), the chain rule is:
\(\frac{d}{dx}f(g(x))=f^{\prime}(g(x))g^{\prime}(x)\)Next, the derivative of the exponential:
\(\frac{d}{dx}(e^x)=e^x\)The derivative of the product:
\(\frac{d}{dx}(f\cdot g)(x)=f^{\prime}(x)g(x)+f(x)g^{\prime}(x)\)And the derivative of sine and cosine:
\(\begin{gathered} \frac{d}{dx}(\sin(x))=\cos(x) \\ . \\ \frac{d}{dx}(\cos(x))=-\sin(x) \end{gathered}\)Now, we can break the function into pieces. First we have:
\(e^{-0.3t}\)The derivative is, by the chin rule:
:
\(\frac{d(e^{-0.3t})}{dt}=e^{-0.3t}\cdot\frac{d(-0.3t)}{dt}=e^{-0.3t}\cdot(-0.3)=-0.3e^{-0.3t}\)Next:
\(\frac{d}{dt}\sin(5t)=\cos(5t)\cdot\frac{d(5t)}{dt}=5\cos(5t)\)Then, we can write:
\(\frac{dh}{dt}=\frac{d}{dt}(e^{-0.3t})\cdot\sin(5t)+e^{-0.3t}\cdot\frac{d}{dx}\sin(5t)=-0.3e^{-0.3t}\sin(5t)+e^{-0.3t}\cdot5\cos(5t)\)We can simplify:
\(\frac{dh}{dt}=5e^{-0.3t}\cos(5t)-0.3e^{-0.3t}\sin(5t)\)Now, for the next derivative, we can separate the terms:
\(5e^{-0.3t}\cos(5t)\)And differentiate:
\(\frac{d}{dt}(5e^{-0.3t}\cos(5t))=5(\frac{d(e^{-0.3t})}{dt}\cdot\cos(5t)+e^{-0.3t}\cdot\frac{d}{dt}(\cos(5t)))=5((-0.3e^{-0.3t})\cdot\cos(5t)+e^{-0.3t}(-5\sin(5t)))\)We can simplify:
\(-1.5e^{-0.3t}\cos(5t)-25e^{-0.3t}\sin(5t)\)The other term of dh/dt is:
\(\frac{d}{dx}(-0.3e^{-0.3t}\sin(5t))=-0.3(\frac{d}{dx}(e^{-0.3t})\sin(5t)+e^{-0.3t}\cdot\frac{d}{dx}(\sin(5t))=-0.3(-0.3e^{-0.3t}\sin(5t)+e^{-0.3t}5\cos(5t))\)Simplify.
\(0.09e^{-0.3t}\sin(5t)-1.5e^{-0.3t}\cos(5t)\)Thus:
\(\frac{d^2h}{dt^2}=-1.5e^{-0.3t}\cos(5t)-25e^{-0.3t}\sin(5t)+0.09e^{-0.3t}\sin(5t)-1.5e^{-0.3t}\cos(5t)\)We can simplify:
\(e^{-0.3t}(-1.5\cos(5t)-1.5\cos(5t)-25\sin(5t)+0.09\sin(5t))=e^{-0.3t}(-3\cos(5t)-24.91\sin(5t))=-e^{-0.3t}(3\cos(5t)+24.91\sin(5t))\)The answer is:
\(\frac{d^2h}{dt^2}=-e^{-0.3t}(3\cos(5t)+24.91\sin(5t))\)Finally, the second derivative of a position function represents the acceleration, thus:
The correct measurement unit for the second derivative is: cm/sec^2
Answers:
\(\frac{dh}{dt}=e^{-0.3t}(5\cos(5t)-0.3\sin(5t))\)\(\frac{d^{2}h}{dt^{2}}=-e^{-0.3t}(3\cos(5t)+24.91\sin(5t))\)
The correct measurement unit for the second derivative is: cm/sec^2
Point s is on line segment rt. given rt = 19 and rs = 6, determine the length st
Answers
Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.
What is the length of a line segment collinear to another line segment?
According to the statement seen in this question, the line segments RT and ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:
RT = RS + ST
ST = RT - RS
ST = 19 - 6
ST = 13
Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.
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Solve for x based on the following system of equations:
x + y = 5
2x + 3y = 20
-10
-5
-2
5
10
Answers
Answer:
x = -5
Step-by-step explanation:
x + y = 5 can be also written as 3x + 3y = 15 by times 3 on both side, let it be equation (1), then let 2x + 3y = 20 be equation (2), then use equation (2) - (1), can get (2x - 3x) + (3y - 3y) = 20 - 15 ---> -x = 5, then x = -5.
witch one is the function
Answers
Answer:
B
Step-by-step explanation:
a function doesn't have any repeating x values
Is P(3,2) and Q(2,3)represent the same point
Answers
Answer:no
Step-by-step explanation:
Because on a graph (2,3) means that the point is two along and three up while (3,2) means it is 3 along and two up.
Simplify this expression.
2√5(13+√2)
2√65+2√10
2√5+2√7
26√65+2√10
26√5+2√10
Answers
Answer:
\(26\,\sqrt{5} +2\,\sqrt{10}\)
Step-by-step explanation:
We start by using distributive property multiplying the constant term outside the parenthesis times each of the terms inside the parenthesis:
\(2\,\sqrt{5} \,(13+\sqrt{2} )=2*13\,\sqrt{5} +2\,\sqrt{5} \,\sqrt{2} = 26\,\sqrt{5} +2\,\sqrt{5\,*\,2} =26\,\sqrt{5} +2\,\sqrt{10}\)
Describe the range of values for the correlation coefficient Choose the correct answer below. A. The range of values for the correlation coefficient is - 1 to 1. not inclusive. B. The range of values for the correlation coefficient is - 1 to 1, inclusive. C. The range of values for the correlation coefficient is 0 to 1, not inclusive D. The range of values for the correlation coefficient is 0 to 1, inclusive.
Answers
The range of values for the correlation coefficient is - 1 to 1, inclusive is the correct answer.
What is value?Value is an important concept in economics, philosophy, and psychology. In economics, value is the amount of utility or satisfaction that an individual derives from a good or service. In philosophy, value is the worth or usefulness of something, based on its purpose. In psychology, value is the perceived importance of something that influences an individual's behavior. Value can also be seen as a measure of the worth of an object or action. Value is subjective and can differ from one person to another, depending on their beliefs and experiences. Value is also a key factor in decision-making and can help individuals make informed choices.
The range of values for the correlation coefficient is -1 to 1, inclusive. This means that the correlation coefficient can range from a perfect negative correlation (-1) to a perfect positive correlation (1).
Values in between those two extremes indicate a weaker correlation.
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if x is a binomial variable, calculate mean, standard deviation and variance for the following values of n and p
Answers
To calculate the mean, standard deviation, and variance for a binomial variable, we need the values of n and p.
The mean (or expected value) of a binomial variable is given by the formula mean = n * p. The standard deviation is calculated using the formula standard deviation = sqrt(n * p * (1 - p)), and the variance is equal to (n * p * (1 - p)). Now, let's calculate the mean, standard deviation, and variance for the given values of n and p:
Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p)
Substitute the values of n and p into the formulas: Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p)
Calculate the values:
Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p) Remember to replace n and p with their respective values in each calculation.
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