Answer:
The applicant need a score of at least 481.25.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the percentile of this measure.
In this problem, we have that:
The mean quantitative score on a standardized test for female college-bound high school seniors was 350. The scores are approximately Normally distributed with a population standard deviation of 75. This means that
.
A scholarship committee wants to give awards to college-bound women who score at the 96th percentile or above on the test. What score does an applicant need?
This score is the value of X when Z has a pvalue of 0.96.
Looking at the z score table, we find that Z has a pvalue of 0.96 at
. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.75 = \frac{X - 350}{75}](https://tex.z-dn.net/?f=1.75%20%3D%20%5Cfrac%7BX%20-%20350%7D%7B75%7D)
![X - 350 = 75*1.75](https://tex.z-dn.net/?f=X%20-%20350%20%3D%2075%2A1.75)
![X = 481.25](https://tex.z-dn.net/?f=X%20%3D%20481.25)
The applicant need a score of at least 481.25.
Answer:
79°
Step-by-step explanation:
Line pu is a straight line meaning it has a measure of 180°.
37+34+30=101
180-101=79
The correct answer for the question that is being presented above is this one:
We want to pull 11 (this means not including 12) or less from the bag and there are 100 possibilities
= 11/100
So the probability is <span>11/100</span>
Answer:
<u>1.8 ounces</u>
Step-by-step explanation:
Let :
⇒ weight of a can of juice = x
⇒ weight of an energy bar = y
=============================================================
Equations formed :
- 3x + 2y = 33.6
- 4y + 2x = 27.2
============================================================
Multiply Equation 1 by 2 :
⇒ 2 × (3x + 2y) = 2 × 33.6
⇒ 6x + 4y = 67.2 [Equation 3]
===========================================================
Subtract : Equation 3 - Equation 2
⇒ 6x + 4y - 4y - 2x = 67.2 - 27.2
⇒ 4x = 40
⇒ <u>x = 10</u>
===========================================================
Finding the weight of an energy bar :
⇒ 3(10) + 2y = 33.6
⇒ 2y = 3.6
⇒ y = <u>1.8 ounces</u>
7+2+5=????? will mark brainest 14