Answer:
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
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:

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 problem, we have that:

What is the probability that a randomly selected exam will require more than 15 minutes to grade
This is 1 subtracted by the pvalue of Z when X = 15. So



has a pvalue of 0.3783.
1 - 0.3783 = 0.6217
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
Answer:
$2,975
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 3500 × 15/100
Discount = 3500 x 0.15
You save = $525.00
Final Price = Original Price - Discount
Final Price = 3500 - 525
Final Price = $2,975.00
To know what kind of triangle is it. use the pythagorean theorem:
A^2 + B^2 = C^2,
where C is the longest side of the triangle
if it satisfies the equation then it is a right triangle
if it does not then A^2 + B^2 > C^2 so it is acute triangle
if A^2 + B^2 < C^2 it is obtuse triangle
18^2 + 13^2 ? 27^2
324 + 169 ? 729
493 < 729 so it is obtuse triangle
Answer:
option D. 4.7 x 10-4 m
Step-by-step explanation:
<u><em>The correct question is</em></u>
• cell P: 5.0 x 10-4 meters
• cell Q: 3.0 x 10-5 meters
we have
The diameter of cell P is 
The diameter of cell Q is 
Rewrite the diameter of cell P as

Find the difference

Rewrite the difference as

We will use order of operations (PEMDAS) to solve this.
1.) 33+4(52-42) This is our equation. So, first we are gonna subtract 42 from 52.
2.) 33+4(10) Now that we did that, we are gonna add 4 to 33.
3.) 37(10) Lastly we are gonna multiply 37 by 10.
The answer is gonna be 370. If this helped, maybe consider giving me brainliest :)