While free diving in the ocean Samantha once set a record by diving 525 feet in 3 1/2 minutes how many feet per minute did she dive?
Three consecutive integers whose sum is 36
Suppose you have a distribution, x, with mean = 13 and standard deviation = 3. define a new random variable y = 4x - 5. find the mean and standard deviation of y.
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.
if f(x)=4-x^2 and g(x)=6x, which expression is equivalent to (g-f)(3)?
A pair of jeans is on sale for 25% off the original price. Which expression represents the sale price? If the original price is $40, evaluate the expression to find the sale price. A: s=p-0.25p;$30 B: s=p-25;$15 C: s=p-0.25p;$10 D: s=p-0.25;$39.75
If sinθ =4/5 , then cosθ = _____.
Answer:
cosθ = [tex]\frac{3}{5}[/tex] .
Step-by-step explanation:
Given : If sinθ =4/5 .
To find : cosθ = _____.
Solution : We have given that sinθ =4/5 .
By the trigonometric identity
cos²θ + sin²θ = 1.
Plugging the value of sinθ =4/5 .
cos²θ + [tex](\frac{4}{5}) ^{2}[/tex] = 1.
cos²θ + [tex]\frac{16}{25}[/tex] = 1.
On subtracting [tex]\frac{16}{25}[/tex] from both sides
cos²θ = 1 - [tex]\frac{16}{25}[/tex] .
cos²θ = [tex]\frac{25 -16}{25}[/tex] .
Taking square root both sides.
[tex]\sqrt{cos^{2}theta} = \sqrt{\frac{9}{25}}[/tex] .
cosθ = [tex]\frac{3}{5}[/tex] .
Therefore, cosθ = [tex]\frac{3}{5}[/tex] .
a can of coffee weighs 13 ounces. what is the smallest number of cans that must be used to package 1,000 kilograms of coffee
The Florida Everglades welcomes about 2x10 to the third power visitors per day. Based on this, about how many visitors come to the Everglades per week?
gerard is buying pencils in boxes of 10 he has 20 pencils but needs a total of 60 pencils
John is ordering 50 t-shirts. 30% of the shirts need to be small, how many shirts need to be small
For the given conditional statement, determine which of the following option(s) has a truth value of true. Select all that apply.
If a polygon is regular, then it has congruent angles and congruent sides.
conditional
converse
inverse
contrapositive
Answer:
Conditional and Converse.
Step-by-step explanation:
If a polygon is regular, then it has congruent angles and congruent sides.
We can say that;
Hypothesis is : If a polygon is regular
Conclusion is : then it has congruent angles and congruent sides.
A conditional statement will not be true when the hypothesis is true but the conclusion is false. In the given statement, the above conditional statement has a truth value of true.
We can write the converse statement as : If it has congruent angles and congruent sides, then the polygon is regular.
This also has a truth value of true.
So, correct options are :
Conditional and converse
what is 12.1 rounded to the nearest whole number
misty is building a triangular plainting bed. two of the sides have lengths of eight feet and five feet. what are the possible lengths for the third side?
The length of the third side of the triangle Misty is building should be more than 3 feet and less than 13 feet, according to the Triangle Inequality Theorem.
Explanation:This question pertains to the numerical properties of a triangle, in which two side lengths of the triangle are provided, specifically eight feet and five feet. The length of the third side of the triangle is not set, but it has certain parameters due to the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the possible lengths of the third side would be greater than the absolute difference of the two given sides (eight feet and five feet), and less than the sum of the lengths of the two given sides. Thus, the third side's length should be more than 3 feet (8 - 5) and less than 13 feet (8 + 5).
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Find the exact circumference of a circle with the given radius. 36 inches C = 72 in. 36 in. 18 in. IN PIE TERMS PLEASE!!!!!:)
Answer:
The circumference of a circle is [tex]72\pi [/tex] .
Step-by-step explanation:
Forrmula
[tex]Circumference\ of\ a\ circle = 2\pi r[/tex]
Where r is the radius of the circle .
As given in the question
The radius of the circle is 36 inches .
Put all the values in the formula
[tex]Circumference\ of\ a\ circle = 2\times 36\pi [/tex]
[tex]Circumference\ of\ a\ circle = 72\pi [/tex]
Therefore the circumference of a circle is [tex]72\pi [/tex] .
is 600 1/10th of 500-
Answer:
No
Step-by-step explanation:
600 is greater than 500 it would be 1.2 greater
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The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. men the same age have mean height 69.3 inches with standard deviation 2.8 inches. what are the z-scores for a woman 6 feet tall and a man 6 feet tall? what information do the z-scores give that the actual heights do not?
An ice sculpture is melting from the heat. Assuming its height changes by negative 5 over 32 meters every hour, what will be the change in height after 4 hours?
Answer:
[tex]\frac{-5}{8} [/tex]
Step-by-step explanation:
Given : Height of an ice sculpture changes by negative 5 over 32 meters every hour.
To Find: what will be the change in height after 4 hours?
Solution:
Height changes in 1 hour by [tex]\frac{-5}{32}[/tex]
So, the change in height after 4 hours = [tex]\frac{-5}{32} \times 4[/tex]
= [tex]\frac{-5}{8} [/tex]
Hence,the change in height after 4 hours will be [tex]\frac{-5}{8} [/tex]
The staff at Larry's Lawns spends their workday mowing lawns, raking, and bagging leaves. They work an average of twelve hours per day. The mowing and raking typically takes eight hours and an average of forty-eight bags of leaves are filled. Assuming the bags are filled at a constant rate, what is the average time it takes to fill one bag of leaves?
The average time it takes to fill one bag of leaves is 0.17 hours or 10 minutes.
Explanation:The average time it takes to fill one bag of leaves is 0.17 hours or 10 minutes.
To find the average time it takes to fill one bag of leaves, we need to divide the total time spent raking leaves by the number of bags filled. In this case, the total time spent raking leaves is 12 hours and the number of bags filled is 48.
Therefore, the average time it takes to fill one bag of leaves is:
Average time = Total time / Number of bags filled
Average time = 12 hours / 48 bags = 0.25 hours/bag = 15 minutes/bag.
Armand ran the 100-yard dash in 17.18 seconds. Arturo's time has an 8 with a vaule 10 times the value of 8 in armand's time. What could be arturo's tome on the 100-yard dash?
Answer:
26.89 seconds
Step-by-step explanation:
Any number with an 8 in the tenths place will have an 8 with 10 times the value of the 8 in the hundredths place in Armand's time.
Explain why you add to find the sum of two integers, but subtract to find the sum of a positive and negative integer
Find the center of the circle that can be circumscribed about EFG with E(2,2),F(2,-2), and G(6,-2)
When ordering a certain type of computer, there are 3 choices of hard drive, 4 choices for the amount of memory, 2 choices of video card, and 3 choices of monitor. in how many ways can a computer be ordered?
Answer:
72 possible combinations
Step-by-step explanation:
The features in a computer (C) are:
Hard drive (h): 3 choicesAmount of memory (a): 4 choicesVideo card (v): 2 choicesMonitor (m): 3 choicesAll the possible combinations can be found using the following expression.
C = h × a × v × m = 3 × 4 × 2 × 3 = 72
There are 72 possible combinations to set up a computer.
An athlete eats 0.35kg of protein per week while training. How much protein will she eat during 7 weeks of training?
The athlete will eat 2.45 kilograms of protein during 7 weeks of training.
To find out how much protein the athlete will eat during 7 weeks of training, we can simply multiply the amount of protein eaten per week by the number of weeks of training.
Given:
Protein eaten per week = 0.35 kg
Number of weeks of training = 7 weeks
Protein eaten during 7 weeks of training = 0.35 kg/week * 7 weeks
Now, calculate the result:
Protein eaten during 7 weeks of training = 2.45 kg
So, the athlete will eat 2.45 kilograms of protein during 7 weeks of training.
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If someone helps me I will cash app you 1 dollar I need the steps not the answer how to solve it
slove for x=b - cb to get c by itsself
Express the side length of a square as a function of the length d of the square’s diagonal. then express the area as a function of the diagonal length.
Aaron finished his math assignment in 3/8 hours. then he completed his chemistry assignment in 1/4 hours. How much more time did Dan spend on his math assignment?
A bank received an initial deposit of $15,000, kept a percentage of this money in reserve based on a reserve rate of 3%, and loaned out the rest. The amount it loaned out eventually was all deposited back into the bank. If this cycle continued indefinitely, how much money eventually resulted from the initial deposit?
A $50,000
B $45,000
C $500,000
D $19,500
Answer:
If this cycle continued indefinitely, how much money that eventually resulted from the initial deposit is
500,000 (C is the answer)
find 4 consecutive odd numbers such that the sum of the first and the forth is 27 less than three times the first
Let f = {(–2, 4), (–1, 2), (0, 0), (1, –2), (2, –5)}. Let g = {(–3, 3), (–1, 1), (0, –3), (1, –4), (3, –6)}. What is g(f(2))? -5 -1 2 The composition is undefined.