Answer:
A
Step-by-step explanation:
50 percent is 50/100 and you are trying to find x which is half of 70. A would make the most sense. X should =35
Answer:
<u>Checkmark:</u>
✓ The sequence is geometric
✓ The recursive formula for the sequence is
; 
✓ The explicit formula for the sequence is 
Step-by-step explanation:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by -3 gives the next term.
r = -3

= -2
Substitute the values in the equation:

This is a explicit formula since the next value depends on the position of n (1, 2, 3 .etc)
The recursive formula would be:

Checkmark:
✓ The sequence is geometric
✓ The recursive formula for the sequence is
; 
✓ The explicit formula for the sequence is 
Answer: I don't understand the question
Step-by-step explanation:
Answer:
100%
Step-by-step explanation:
Use conditional probability:
P(B | A) = P(B and A) / P(A)
P(B | A) = (12/28) / P(A)
We need to find the probability that a student studies art.
P(A or B) = P(A) + P(B) − P(A and B)
24/28 = P(A) + (12+12)/28 − 12/28
P(A) = 12/28
P(B | A) = (12/28) / (12/28)
P(B | A) = 1
What this means is that all of the students who study art also study biology.
Answer:
218.7 lb.
Step-by-step explanation:
We have been given that the weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of 28 lb.
One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2.
We will use z-score formula to solve our given problem.
, where,
,
,
,
.
Upon substituting our given values in z-score formula we will get,

Now let us solve for x.
Upon multiplying both sides of our equation by 28 we will get,


Let us add 162.7 to both sides of our equation.


Therefore, the obesity threshold weight for a young adult American male is 218.7 pounds.