Answer:
x+y = 36
x-y = 10
Add these two equations to get
2x = 46
x = 23
Sub x=23 into either equation, I like the first.
23 + y = 36
y = 13
23,13 are the pair.
Using the normal distribution, it is found that the percentage of people spend <u>between 41 and 56 minutes</u> watching TV shows on this streaming service is:
a) 13.5%
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 71, hence
![\mu = 71](https://tex.z-dn.net/?f=%5Cmu%20%3D%2071)
- The standard deviation is of 15, hence
![\sigma = 15](https://tex.z-dn.net/?f=%5Csigma%20%3D%2015)
The proportion <u>between 41 and 56 minutes</u> is the <u>p-value of Z when X = 56 subtracted by the p-value of Z when X = 41</u>, hence:
X = 56:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{56 - 71}{15}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B56%20-%2071%7D%7B15%7D)
![Z = -1](https://tex.z-dn.net/?f=Z%20%3D%20-1)
has a p-value of 0.16
X = 41:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{41 - 71}{15}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B41%20-%2071%7D%7B15%7D)
![Z = -2](https://tex.z-dn.net/?f=Z%20%3D%20-2)
has a p-value of 0.025
0.16 - 0.025 = 0.135
0.135 x 100% = 13.5%
Hence option a is correct.
A similar problem is given at brainly.com/question/25769446
Answer:
$16,725.21
Step-by-step explanation:
To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone
Recall that the volume V of a cone
= 1/3Pir^2h
where r is the base radius and h is the height
Given that the sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture
= 1/3 * 3.14 * 15^2 * 67
= 15,778.5 cubic inch
If copper costs 1.06$ per cubic inch, then the cost of the copper for the sculpture
= 15,778.5 * 1.06
= $16,725.21
Answer: 933.12 inches
Step-by-step explanation:
Givem that Marta has 1 cubic yard of sand to build a wall in the shape of a rectangular prisim that is 10 inches tall and 5 inches wide to the nearest foor
1 cubic yard = 46656 cubic inches
Volume = Length × width × height
Substitute all the parameters
46656 = 10 × 5 × height
46656 = 50 height
Height = 46656 / 50
Height = 933.12 inches