Answer: ≈ 185.73009
Step-by-step explanation:
area of square: 
area of circle: 
length: 15
radius = diameter/2
radius: 5
area of square - area of circle = area between square and circle:
≈ 185.73009
hope it helps!
Please mark as brainliest.
Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have
. So



Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have
.



Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have
.



Due to the higher Z-score, Demetria should be offered the job.
Answer:
d. 200 and 2
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
Mean = 200
Standard deviation = 18
Sample size: 81
Standard error: 
So the correct answer is:
d. 200 and 2
Answer:
B. 4
Step-by-step explanation:
36/9=4, since 9*4=36. Therefore, the correct answer is B, 4. Hope this helps!
Answer:
t = 480
Step-by-step explanation:
When we have equations with variables, we always want to isolate the variable, so lets get rid of 4 first.
Add 4 to both sides :
-96 = -t/5
Multiply both sides by the denominator :
-480 = -t
Divide both sides by negative 1 :
t = 480