Answer:
36°
Step-by-step explanation:
The computation of the measure of the angle is shown below:
As we know that
The trigonometric function in the right angle is
sinα = OS ÷ H
And,
cosα = AS ÷ H
Here
α represent the one of the angles
OS and AS represent the opposite sides
And, H represent the hypotenuse
So
sinx = 8.5 ÷ 14.5
x = arcsin = 8.5 ÷ 14.5
= 35.88
= 36 degrees
The probability that both of them go back to prison is 4.48%.
<h3>
What is probability?</h3>
- Probability is a measure of the likelihood of an event occurring.
- Many events cannot be predicted with total certainty.
- We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
- The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
The state recidivism rate is given by 22%.
So, the probability that both of the prisoners will go back to prison will be:
- = 22% × 22%
- = 0.22 × 0.22
- = 4.84%
Hence, the probability that both of them go back to prison is 4.48%.
To know more about probability, visit:
brainly.com/question/14975981
#SPJ9
Answer:
x = 8
Step-by-step explanation:
Simplifying
9x + -25 = 5x + 7
Reorder the terms:
-25 + 9x = 5x + 7
Reorder the terms:
-25 + 9x = 7 + 5x
Solving
-25 + 9x = 7 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-25 + 9x + -5x = 7 + 5x + -5x
Combine like terms: 9x + -5x = 4x
-25 + 4x = 7 + 5x + -5x
Combine like terms: 5x + -5x = 0
-25 + 4x = 7 + 0
-25 + 4x = 7
Add '25' to each side of the equation.
-25 + 25 + 4x = 7 + 25
Combine like terms: -25 + 25 = 0
0 + 4x = 7 + 25
4x = 7 + 25
Combine like terms: 7 + 25 = 32
4x = 32
Divide each side by '4'.
x = 8
Simplifying
x = 8
A(4) =13
a(1) = 1
a(2)=5
a(3)=9
a(4)=13
a(5)=17
So, the arithmetic formula is: a(n) = a(n-1) + d
If we look at the formula, the numbers change by +1, which is our d
We can test our formula by look for 2,
a(2)= a(2-1)+4
a(1)+4
1+4
a(2)=5
Even though the sequence tells us, we can test our formula anyhow
a(4)= a(4-1)+4
a(3)+4
9+4
a(4)=13
Answer:
your answer is right its 2.5 x 10^-9
Step-by-step explanation: