Answer:
a) 0.30854
b) 0.21186
c) 0.23468
Step-by-step explanation:
Mario's Pizza delivers pizzas within a 10-mile radius of the restaurant. Their delivery times are Normally distributed with a mean delivery time of 30 minutes and a standard deviation of 10 minutes.
We solve using z score formula.
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Find the probability that a randomly selected customer will have to wait
a) less than 25 minutes
for x < 25 minutes
z = 25 - 30/10
z = -0.5
Probability value from Z-Table:
P(x<25) = 0.30854
b) more than 38 minutes
For x > 38 minutes
z = 38 - 30/10
z = 0.8
Probability value from Z-Table:
P(x<38) = 0.78814
P(x>38) = 1 - P(x<38) = 0.21186
c) between 26 and 32 minutes
For x = 26 minutes
z = 26 - 30/10
z = -0.4
Probability value from Z-Table:
P(x = 26) = 0.34458
For x = 32 minutes
z = 32 - 30/10
z = 0.2
Probability value from Z-Table:
P(x = 32) = 0.57926
The probability that a randomly selected customer will have to wait between 26 and 32 minutes is calculated as:
P(x = 32) - P(x = 26)
= 0.57926 - 0.34458
= 0.23468
Answer:
x >2.2034
Step-by-step explanation: hope this helps :)
Answer:
X=8, each side is=27
Step-by-step explanation:
Equilateral triangle, each side has the same lenght
5x-13=11x-61
61-13=11x-5x
48=6x
x=8
5(8)-13=27
Answer:
The product of two fractions can be calculated as follows:
So, the numerator is the product of the numerators of the two fractions, and the denominator is the product of the denominators of the two fractions.
In this problem, we know that the product is 6/40, so:
This means:
So we just need to find 2 pairs of numbers a, b to make c and d integers.
The first choice we use is:
a = 3
b = 2
So we get:
So the first pair of fractions is
The second choice we use is:
a = 2
b = 10
So we get:
So the second pair of fractions is
