Answer:
A.0.4477
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 between 14 and 19 minutes to grade?
This probability is the pvalue of Z when X = 19 subtracted by the pvalue of Z when X = 14. So
X = 19
has a pvalue of 0.7389.
X = 14
has a pvalue of 0.2912
0.7389 - 0.2912 = 0.4477
So the correct answer is:
A.0.4477
Answer:
<h3>#1</h3>
<u>Rectangle area:</u>
<u>Given:</u>
<u>Find w:</u>
- 12w = 300
- w = 300/12
- w = 25 ft
<h3>#2</h3>
<u>Perimeter is the sum of side lengths:</u>
P = 2 1/4 + 5 2/5 + 5 17/20 =
2 + 5 + 5 + 1/4 + 2/5 + 17/20 =
12 + 5/20 + 8/20 + 17/20 =
12 + 30/20 =
12 + 1.5 =
13.5 ft
<h3>
#3</h3>
- Cost of a shirt = $19.99
- Number of shirts = 6
<u>Total cost:</u>
Answer:
f, s={36,6} is your answer.
Step-by-step explanation:
PREMISES
6s+9=3(s+9)
ASSUMPTIONS/SUFFICIENT CONDITION(S)
Let the son's current age s=s
Let the father's current age f=6s
CALCULATIONS
6s+9=3(s+9)
6s+9=3s+27
6s-3s+(9–9)=3s-3s+(27–9)
3s+0=0+18
3s=18
3s/3=18/3
s=
6
and,
if s=6, then
6s=
f=
36
PROOF
If f,s=36, 6, then the equations
6s+9=3(s+9)
6(6)+9=3(6+9)
36+9=3(15) and
45=45 establish the roots (zeros) f, s=36,6 of the mathematical statement 6s+9=3(s+9)
Answer:
23.7
Step-by-step explanation:
sum of pages divided by number of days spent
Answer:
or 
Step-by-step explanation:
3/5 actually can't be simplified, so it will stay as
The decimal form is
