Answer: b. 0.8413
Step-by-step explanation:
Given : The average time taken to complete an exam, X, follows a normal probability distribution with 
and 
.
Then, the probability that a randomly chosen student will take more than 30 minutes to complete the exam will be :-
![P(x>30)=P(z>\dfrac{30-60}{30})\ \ [\because\ z=\dfrac{x-\mu}{\sigma} ]\\\\=P(z>-1)=P(z-z)=P(Z](https://tex.z-dn.net/?f=P%28x%3E30%29%3DP%28z%3E%5Cdfrac%7B30-60%7D%7B30%7D%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%20%5D%5C%5C%5C%5C%3DP%28z%3E-1%29%3DP%28z%3C1%29%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3E-z%29%3DP%28Z%3Cz%29%5D%5C%5C%5C%5C%3D%200.8413)
[using z-value table]
Hence, the probability that a randomly chosen student will take more than 30 minutes to complete the exam = 0.8413
Complete Question
Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit.
Let p(x) represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x) represent Pizza Supreme's profit (in dollars) x days after June 1.
Suppose Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.
Write a function formula for p using the function s
Answer:
The function formula for p using the function s is p(x) = 1.9s(x)
Step-by-step explanation:
Given
p(x) = Primo Pizza's profit (in dollars) x days after June 1.
s(x) = Pizza Supreme's profit (in dollars) x days after June 1.
It is given that Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.
This implies that
p(x) = 1.9*s(x)
So, p(x) = 1.9s(x)
Hence, the function formula for p using the function s is p(x) = 1.9s(x)
HELLO,
Your answer is 130-50=80
You would have to make 80 dollars,
So 8 dollars per hour (of course that is below minimum wage that means you need a raise).
Therefore, you need to mow lawns for 10 hours
Thanks for posting your question here on brainly.
Hope this helps you.
Let me know if its correct.
The word problem gives you the information you need to solve it.
5 batches of chili were made using 63.5 kg of beans total. You can assume the same amount of beans were used in each of the 5 batches, so ...
your equation would be:
63.5 ÷ 5 = # of beans in each batch.
63.5 ÷ 5 = 12.7
12.7 kg of beans were used in each of the 5 batches.
Check step:
12.7 × 5 = 63.5
we have
using a graphing tool
see the attached figure
The graph crosses the x axis at 
and touches the x axis at 
.
therefore
<u>the answer is the option</u>
The graph crosses the x axis at and touches the x axis at .
