Base your answer to the question on the diagram shown below. what is the probability of spinning the spinner and not landing on a vowel?
a. 3/8
b. 1/2
c. 5/8

Option C. is the correct option.

Step-by-step explanation:

In the given question numbers marked on a spinner are given = 8

Out of these numbers marked on spinner number of vowels are = 3

Therefore the sample set n(S) is = 8

and the favorable events are n(E) = 3.

As per rules of the probability, the probability of spinning the spinner and landing on vowel will be =

Now probability of spinning the spinner and not landing on a vowel will be

P(E)' =

Option C. is the answer.  

h = 1.88f + 32.01

Step-by-step explanation:

To find the linear equation, we first find the gradient of the linear equation from

(y₂ - y₁)/(x₂ - x₁) = m and using the values of the length of femur and overall height respectively, where x₁ = 18 inches and y₁ = 65.85 inches and x₂ = 14 inches and y₂ = 58.33 inches

So, (y₂ - y₁)/(x₂ - x₁) = m

(58.33 - 65.85)/(14 - 18) = m

-7.52/-4 = m

m = 1.88

So, to find the linear equation, we use

(y - y₁)/(x - x₁) = m where f₁ = 18 inches and h₁ = 65.85 inches

So, (y - y₁)/(x - x₁) = m

(y - 65.85)/(x - 18) = 1.88

(y - 65.85) = 1.88(x - 18)

y - 65.85 = 1.88x - 33.84

collecting like terms, we have

y = 1.88x - 33.84 + 65.85

y = 1.88x + 32.01

Given that y = h = overall height of adult male and x = f = length of femur,

h = 1.88f + 32.01