Answer:
4.27%
Step-by-step explanation:
We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.
We will use z-score formula to solve our given problem.
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.
Now, we need to find 
.
Using formula 
, we will get:
Using normal distribution table, we will get:
Therefore, 4.27% of college students sleep for more than 9.6 hours.
Answer:
<u>x = 8/23</u>
Step-by-step explanation:
<u>Adding 3.5 to each side</u>
- -3.5 + 3.5 = -4.6x - 5.1 + 3.5
- -4.6x - 1.6 = 0
<u>Adding 4.6x to each side</u>
- -4.6x - 1.6 + 4.6x = 0 + 4.6x
- 4.6x = -1.6
<u>Dividing each side by 4.6</u>
- 4.6x/4.6 = -1.6/4.6
- <u>x = 8/23</u>
Answer:
36
Step-by-step explanation:
make proportion giants to elves
120/144 = 90/x cross multiply
120x =144*90
120x =12960 divide by 120
x = 108
so if there are 90 giants in the theater there are 108 elves also
considering that total 144 elves can be in the theater subtract 144 and 108 so 36 more elves can be admitted
A tetrahedron is also called a regular triangular pyramid.
option b is the correct answer.
