Answer:
0.6247
Step-by-step explanation:
The formula for calculating a Z-score is Z = (X - μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)
Step 1
Find the Probability of X ≤ 36
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 36 - 51/ 10
Z = -15/10
Z = -1.5
We find the Probability of Z = -1.5 from Z-Table
P(X <36) = P(X = 36) = P(Z = -1.5)
= 0.066807
Step 2
Find the Probability of X ≤ 56
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 56 - 51/ 10
Z = 5/10
Z = 0.5
We find the Probability of Z = 0.5 from Z-Table:
P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146
Step 3
Find P(36 ≤ X ≤ 56)
P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)
= P( Z = 0.5) - P(Z = -1.5)
= 0.69146 - 0.066807
= 0.624653
Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247
0.04 is multiplied 10 times to get 0.004
Answer:
2nd statement is false
Step-by-step explanation:
(1-z) can combine with other coupons
The equation that models the situation is 15x + 9y = 450
The x-intercept is (30, 0) and the y-intercept is (0, 50)
Given the following parameters:
- Cost of concert tickets for general admission= $15
- Cost of a ticket for those with student ID = $9
Given that the total sales is $450, the equation that models this situation will be expressed as:
where:
x is the those that admitted generally
y are those with student ID
<u />
<u>Get the x-intercept.</u>
This is a point where the y-axis is zero
15x + 9y = 450
15x + 9(0) = 450
15x = 450
x = 450/15
x = 30
Thee x-intercept is (30, 0)
<u>Get the y-intercept.</u>
This is a point where the x-axis is zero
15(0) + 9y = 450
0 + 9y = 450
9y = 450
y = 450/9
x = 50
The y-intercept is (0, 50)
Learn more on intercepts here: brainly.com/question/24212383
