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:
The equation representing the Amount of profit Peter earns is 
.
Step-by-step explanation:
Given:
Money spent on supplies = $64.50
Per lawn charge for mowing lawn = $12
Solution:
Let the amount of profit Pete earns be represented by 'y'.
Let the number of lawns to be mowed be represented by 'x'
Now we can say that:
Amount of profit Pete earns is equal to Per lawn charge for mowing lawn multiplied by number of lawns to be mowed minus Money spent on supplies.
framing in equation form we get;
Hence The equation representing the Amount of profit Peter earns is .
Answer:
a=2.25
Step-by-step explanation:
Given the equation 4.5=2a, you'd finds the value of "a" and divide both sides by 2.
4.5/2=a
2.25=a
a=2.25
To find Angle A we use cosine
cos ∅ = adjacent / hypotenuse
From the question
The adjacent is 17
The hypotenuse is 38
So we have
cos A = 17/38
A = cos-¹ 17/38
A = 63.4
<h3>A = 63° to the nearest degree</h3>
To find Angle C we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 17
The hypotenuse is 38
So we have
sin C = 17/38
C = sin-¹ 17/38
C = 26.57
<h3>C = 27° to the nearest degree</h3>
Hope this helps you
