Answer:
x=17
Step-by-step explanation:
4(x+5) = 88
4x + 20 = 88
4x = 88-20
4x = 68
x = 68/4
x = 17
Answer:
C
Step-by-step explanation:
to evaluate substitute x = 0 and x = 1 into f(x)
note that
= 1
f(0) = 45 ×
= 45 × 1 = 45
f(1) = 45 ×
= 45 ×
= 15
The answer would be 70 degrees.
In order to find this answer, we must first look at the cos value of an angle. The unknown angle here gives us an adjacent side of 3.4 and a hypotenuse of 10. Thus, we can use the following with cos.
Cos(A) = 3.4/10 or Cos(A) = .34
As a result, we can then use the arccos function to find the answer.
acrcos(.34) = A
70.12 = A
Then when we round, we'd get 70.
Probaility in general is defined as the ratio of positive outcomes over the total number of outcomes.
In the first example, the total outcomes are 16; let us count the positive ones. There are 8 even numbers from 1-16. The prime numbers are 2,3,5,7,11,13. Out of those, only 5 are odd. Hence, in total there are 13 positive outcomes. Thus, the probability is 13/16=81.25%
Let's restrict the problem to the students that studied for the exam; the proportion is 0.57 of the total students. 0.52 of the total students studied and saw an increase in their exam. Hence, the probability that a student who studied saw an increse is 0.52/0.57 (here a positive outcome is the proportion that saw an increase and the total outcomes are all the students that studied). 0.52/0.57=91.22%