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
There are 15 marbles in the bag. This gives us the probability of picking a red marble as 5/15, or 1/3. Because you replace the marble therefore making the probability the same each time, and as it's a logical 'and' operation, you multiply the probabilities like this:
(1/3)•(1/3)=(1/3)^2
Because (a/b)^c = a^c/b^c, P(two red marbles) = 1^2/3^2 = 1/9.
4$-20%
X$-100%
X=4·100:20=400:20=20
Answer : He paid for the meal 20$.
Answer:
21.
Step-by-step explanation:
RT and QS are diagonals of the rectangle and are equal in length.
5x + 1 = 6x - 3
-x = -4
x = 4
So QS = 6(4) - 3
= 21.