Answer:
The IQ score separating the bottom 25% from the top 75%. is 87.3
Step-by-step explanation:
Given that adults have IQ scores that are normally distributed with a mean of 98.8 and a standard deviation 17.1.
To find the first quartile, we calculate X such that P(X<z)=0.25.
From the normal distribution table the The z-value that corresponds to an area of 0.25 is z=-0.675
We use the formula:

We substitute to get:

This implies that:


Solve for x to get:

X=87.2575
Answer:
She must make a score of 42 in the final exam to obtain an average of 80.
Step-by-step explanation:
Hi there!
Let x be the score of the final exam, the equation will be as follows (remember that the score of the final counts double):
(82 + 79 + 75 + 2x)/4 = 80
Let´s solve the equation for x multiplying each side of the equation be 4:
82 + 79 +75 + 2x = 320
Substract 82, 79 and 75 to both sides of the equation:
2x = 320 - 82 - 79 -75
2x = 84
x = 84/2
x = 42
She must make a score of 42 in the final exam to obtain an average of 80.
Have a nice day!
Step-by-step explanation:

Count how many of the same number, since you have four 8's the exponent will be

same applies for 3
EF = 6
EG = 21
You would subtract EF from EG to find FG:
21 - 6 = 15.
The answer is B.) 15
Answer:
H0 : P ≤ 0.12
H1 : P > 0.12
Step-by-step explanation:
12% = 12/ 100 = 0.12
Given the population proportion, P = 0.12
The claim is the alternative hypothesis, H1 ; which is to test if more than 12% of trees have been infested.
Hence, the alternative hypothesis will be ;
H1 : P > 0.12
The null hypothesis which is the initial truth is always the opposite of the alternative hypothesis, Therefore, we write our null as ;
The null hypothesis ; H0 : P ≤ 0.12
Therefore, we have :
H0 : P ≤ 0.12
H1 : P > 0.12