Solution: We are given:
ACT scores follow normal distribution with 
SAT scores follow normal distribution with 
Now, let's find the z score corresponding to Joe's SAT score 1351.
Therefore, Joe's SAT score is 1.56 standard deviations above the mean.
Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.
Therefore, we have:
Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4
<u><em>Answer:</em></u>
volume of prism = 378 cm³
<u><em>Explanation:</em></u>
<u>The volume of the right prism can be calculated as follows:</u>
volume of prism = area of base * height of prism
<u>1- getting the area of base:</u>
Our base is a triangle, this means that:
area = 0.5 * base * height
We have:
base = 9 cm
height = 6 cm
Therefore:
area of base = 0.5 * 9 * 6
area of base = 27 cm²
<u>2- getting the volume:</u>
volume of prism = area of base * height of prism
volume of prism = 27 * 14
volume of prism = 378 cm³
Hope this helps :)
Answer:
P(A and B) = 7/80
Step-by-step explanation:
The given values of the probabilities of the different events are;
P(A) = 7/20
P(B) = 7/20
P(A or B) = 49/80
P(A and B) = Required
We have by probability theory for any event;
P(A or B) = P(A) + P(B) - P(A and B)
Therefore;
P(A and B) = P(A) + P(B) - P(A or B)
Plugging in the values gives;
P(A and B) = 7/20 + 7/20 - 49/80 = 7/80
∴ P(A and B) = 7/80
10×6 tens in unit form is written
10×6 tens= 60 tens= 600 units
