Answer:
37.24
Step-by-step explanation:
ok so there's a strategy I got taught ready?
100%- 96.
38%-x
~cross multiply~
100x= 3724
÷100 ÷100
________________
x=37.24
Hope this helps :D p.s- i recommend using this strategy :D
Using the <em>normal distribution and the central limit theorem</em>, it is found that there is a 0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score 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)
- 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.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is of 660, hence
.
- The standard deviation is of 90, hence
.
- A sample of 100 is taken, hence
.
The probability that 100 randomly selected students will have a mean SAT II Math score greater than 670 is <u>1 subtracted by the p-value of Z when X = 670</u>, hence:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
By the Central Limit Theorem
![Z = \frac{X - \mu}{s}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7Bs%7D)
![Z = \frac{670 - 660}{9}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B670%20-%20660%7D%7B9%7D)
![Z = 1.11](https://tex.z-dn.net/?f=Z%20%3D%201.11)
has a p-value of 0.8665.
1 - 0.8665 = 0.1335.
0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can take a look at brainly.com/question/24663213
Answer:
(1) The slope intercept should be y=1/2x-5
So the table should be
x y point
-2 -6 (-2,-6)
0 -5 (0,-5)
2 -4 (2,-4)
(2) The slope -5/4
Step-by-step explanation:
(1) The reason why when she graphed the points is incorrect is because she needs to graph it in point slope form not in standard form and when she used the equation.
To find the slope intercept form you need to get the y on one side by itself:
x-2y=10
Subtract x on both sides:
-2y=-x+10
Divide by -2 on both sides:
y=1/2x-5
(2)The formula for the slope is y2-y1/x2-x1
-2-3/5-1
Which is -5/4
Thus the slope is -5/4
Hope this helps!
Answer:
B. 20%
Step-by-step explanation:
The cafeteria sold 50 slides of pizza, 92 chicken nugget plates, and 108 nacho bowls, we can add all of them together and get 250 lunches.
50 out of 250 is 20%.
Therefore, the probability that the next customer will buy a slice of pizza is 20%.