The mean and the standard deviation of y are given as follows:
Mean: 47.Standard deviation: 12.How does the subtraction and the multiplication affect the standard deviation?For the multiplication, we have that both the mean and the standard deviation are multiplied by the constant.
For the subtraction, we have that the mean is subtracted by the constant, while the standard deviation remains constant, since all observations are subtracted by the constant, the differences squared between each observation and the mean remain constant.
The original mean and standard deviation are given as follows:
Mean: 13.Standard deviation: 3.After the multiplication, they are given as follows:
Mean: 52.Standard deviation: 12.After the subtraction, they are given as follows:
Mean: 47.Standard deviation: 12.More can be learned about mean and standard deviation at https://brainly.com/question/14447368
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Final answer:
The mean and standard deviation of the new random variable y, derived from a distribution x with a given mean and standard deviation, are calculated by applying transformations, resulting in a mean of 47 and a standard deviation of 12.
Explanation:
The question asks us to find the mean and standard deviation of a new random variable y = 4x - 5, given a distribution, x, with a mean of 13 and a standard deviation of 3. To calculate the mean of y, we use the transformation y = 4x - 5. The mean of y can be found by substituting the mean of x into this equation, giving us 4(13) - 5 = 52 - 5 = 47. To find the standard deviation of y, we multiply the standard deviation of x by the coefficient of x in the equation, resulting in 3 * 4 = 12. Therefore, the mean of y is 47, and the standard deviation is 12.
Over last week,the daily low temperature in degrees Fahrenheit have been -4,6.2,18 1/2,-5.9,-1/4,and1.75.list these numbers in order from least to greatest
Find the mean of the data set. If necessary round to nearest tenth. 18.1,17.9,16.8,18.7,15.1
Suppose that it costs $25 to place a classified advertisement in the newspaper, plus $3 for each line. Then the cost to place an ad x lines long is given by y dollars, where y=3x+25. Express an ordered pair the fact that a 2 line ad cost $31
5 minus the product of V and 7
A couple has 4 children. what is the probability they would have four boys
F(x)=x-2/x^3+x find the domain
Solve the equation 6x + 3y = 15 for y. What does y equal if x = 2? If x = 5?
Need help with number 6. Also could you tell me if I did number 5 right? Thanks
Find f(5) for f(x). ... .. ... ....
what is 77.0 divided by 200
Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 4 h. Train B reaches station B after 312 h. Station A and Station B are 562.5 mi apart. What is the rate of the trains? Enter your answer in the box.
the answer is 75 mph i took the test and it said 75 not 1.78
Answer:
its 75 i did the math a calaculator
Step-by-step explanation:
A tank can be filled by one pipe in four hours and by a second pipe in six hours; and when it is full, the tank can be drained by a third pipe in three hours. If the tank is empty and all three pipes are open, in how many hours will the tank be filled?
A. 8 hours
B. 12 hours
C. 24 hours
Evaluate. 7^2 - 3 + 9 × 8 ÷ 2
w =
Find parametric equations for the line through the point ( 0,3,2 ) that is perpendicular to the line ! ! x =1+t , ! ! ! y = 3−t , ! ! z = 4t , and intersects this line. (use the parameter t ).
Which of the following gives an example of a set that is closed under multiplication? CHOOSE ALL THAT APPLY !!!! 15 PTS
A. The product of an even number and an even number
B. The product of 0 and 0
C. The product of a negative number and a negative number
D. The product of a perfect square and a perfect square
2) Mr. Somers had twenty pieces of metal that were all the same length. If each piece of metal was 3 1/5 inches long and he put them side by side, what would be the total length of all the pieces together?
In October Greg and Thomas had the same amount of money in their savings account in November Greg deposited $120 into his account Thomas increased the money in his account by 20% when they compare their bounces they found out they were still equal
Any proposed solution of a rational equation that causes a denominator to equal _______ is rejected.
Answer:
Any proposed solution of a rational equation that causes a denominator to equal __ZERO__ is rejected.
Step-by-step explanation:
We will show this statement is true by an example:
Consider the expression : [tex]\frac{x}{x-4}=\frac{x}{x-4}+4[/tex]
Now, solved the rational expression and check its proposed solution
[tex]\frac{x}{x-4}=\frac{x}{x-4}+4[/tex]
x cannot equal to 4, as it makes both denominators equal to zero.
Multiply both the sides by (x-4),
[tex]\left ( x-4 \right )\cdot \frac{x}{x-4}=\left (x-4 \right )\cdot\left ( \frac{x}{x-4}+4 \right )\\[/tex]
Now, use the distributive property on Right hand side,
[tex]\left ( x-4 \right )\cdot \frac{x}{x-4}=\left (x-4 \right )\cdot \left ( \frac{x}{x-4} \right )+\left (x-4 \right )\cdot 4\\[/tex]
Simplify the above expression,
[tex]x=x+4x-16[/tex]
Combine like terms,
[tex]x-x-4x=-16[/tex]
[tex]-4x=-16[/tex]
Divide both sides by -4, we get
[tex]\frac{-4x}{-4}=\frac{-16}{-4}[/tex]
[tex]x=4[/tex].
As we know that x cannot equal to 4, replacing x=4 in the original expression causes the denominator equal to 0.
Check the solution: [tex]\frac{x}{x-4}=\frac{x}{x-4}+4[/tex]
Substitute the value of x=4 in the original expression,
[tex]\frac{4}{4-4}=\frac{4}{4-4}+4[/tex]
[tex]\frac{4}{0}=\frac{4}{0}+4[/tex]
Thus, 4 must be rejected as the solution, and the solution set is only 0.
A proposed solution of a rational equation that causes a denominator to equal zero is rejected because division by zero is not possible.
Explanation:Any proposed solution of a rational equation that causes a denominator to equal zero is rejected. When the denominator of a rational equation is zero, the fraction becomes undefined because division by zero is not possible. In mathematics, division by zero is an undefined operation.
is 11:17 equivalent to 17:11
Answer:
No
Step-by-step explanation:
If these are time values, ...
11:17 is about 5 hours 54 minutes earlier than 17:11.
___
If these are ratios, ...
11/17 is less than 1, whereas 17/11 is greater than 1
Each is the inverse of the other.
Ceremonies help individuals cope with loss as they facilitate the grieving process. Please select the best answer from the choices provided. T F
Answer:
True
Step-by-step explanation:
Ceremonies do help individuals cope with loss as they facilitate the grieving process.
So is the answer - least is the negative first, them zero, them the positive?
3/5 of 40 dollar restaurant
Maree is 8 years older than Aaron.
Aaron is twice as old as Rick.
All their ages add up to 28.
What are their ages?
Maree is
Aaron is
Rick is
what is the answer? this is hard
what is the exponent used in cubing a number
what is 150% as a fraction
Let a and b be the solutions of the quadratic equation $2x^2 - 8x + 7 = 0. Find 1/(2a)+(1/2b).
Please help me!
The decimal equivalent to the binary number 0 0 0 1 0 1 1 0 is ______________.
Use this equation to find dy/dx. 3y cos x = x2 + y2
wes has six errands to run (picking up the dry cleaning, going to the grocery store, getting gas, going to the bank, going to the library, and going to the video store). he only haves time to run 3 errands this afternoon. how many different combinations of three errands could he choose to run?
Answer: 120 different combinations .
Step-by-step explanation:
The combination of n things taking m things at a time is given by :-
[tex]C(n,m)=\dfrac{n!}{m!(n-m)!}[/tex]
Given : The total numbers of errands = 6
Now, the combination of 6 errands taking 3 at a time is given by :-
[tex]C(6,3)=\dfrac{6!}{3!(6-3)!}\\\\=\dfrac{6\times5\times4\times3!}{3!}=120[/tex]
Hence, he could choose to run 120 different combinations of three errands .
use multiplication and the Distributive property to find the quotient
70 divided by 5 =