Answer: 75
Step-by-step explanation: 100 / 20 =5
15x 5= 75
10) There are 2 $5 bills and 10 $10 bills.
Given: number of bills = 12
number of $5 = x
number of $10 = 5x
x + 5x = 12
6x = 12
6x/6 = 12/6
x = 2 * number of $5 bills. ; no. of $10 = 5x = 5(2) = 10 bills.
11) Hillary and 23 friends = 24 total
girls = x
boys = x + 8
girls + boys = 24
x + x + 8 = 24
2x + 8 = 24
2x = 24-8
2x = 16
2x/2 = 16/2
x = 8 * number of girls ; no. of boys = x + 8 ⇒ 8 + 8 = 16
12) total no. of miles = 248
miles drove in the morning = x - 70
miles drove in the afternoon = x
x + x - 70 = 248
2x -70 = 248
2x = 248 + 70
2x = 318
2x/2 = 318/2
x = 159 miles. *driven in the afternoon.
driven in the afternoon : x - 70 = 159 - 70 = 89 miles driven in the morning
Answer:
0.3349
Step-by-step explanation:
Problems of normally distributed samples are 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)
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
![\mu = 170.4, \sigma = 10](https://tex.z-dn.net/?f=%5Cmu%20%3D%20170.4%2C%20%5Csigma%20%3D%2010)
What proportion of student heights are between 170.5 centimeters and 180.3 centimeters?
This is the pvalue of Z when X = 180.3 subtracted by the pvalue of Z when X = 170.5.
X = 180.3
![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{180.3 - 170.4}{10}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B180.3%20-%20170.4%7D%7B10%7D)
![Z = 0.99](https://tex.z-dn.net/?f=Z%20%3D%200.99)
has a pvalue of 0.8389.
X = 170.5
![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{170.5 - 170.4}{10}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B170.5%20-%20170.4%7D%7B10%7D)
![Z = 0.01](https://tex.z-dn.net/?f=Z%20%3D%200.01)
has a pvalue of 0.5040.
0.8389 - 0.5040 = 0.3349
0.3349 = 33.49% of student heights are between 170.5 centimeters and 180.3 centimeters.
Answer:
Assuming 1 cup for every slime (no other information given literally)
240 table spoons
Step-by-step explanation:
SO 16*15=240