Answer:
It is very unusual as the probability to get a sample average of 75 or more customers if the manager had not offered the discount is 0.006
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 50
Standard Deviation, σ = 10
We are given that the distribution of number of customers is a bell shaped distribution that is a normal distribution.
In an attempt to increase the number of weekday customers, the manager offers a $10 membership discount on 5 consecutive weekdays and the sample mean of customers during this weekday period jumps to 75.
Formula:
a) P(sample average of 75 or more customers if the manager had not offered the discount)
P(x > 75)
Calculation the value from standard normal z table, we have,

It is very unusual as the probability to get a sample average of 75 or more customers if the manager had not offered the discount is 0.006
b) Yes, the managers discount strategy worked as it increased the average number of customers from 50 customers to 75 customers.
Answer:
$5.07
Step-by-step explanation:
1. Find the total cost of apples first
1.99 * 3 = $5.97
2. Price of the bread
.89 * 2 = 1.78
3. Price of the box of cereal
3.99
4. Gallon of milk
3.19
5. Add all together
And you come up with 14.93 dollars
6. Subtract by 20
20 - 14.93 = 5.07
1. substitution....because it would be easier to just sub one y in for the other then it would be to use the elimination method
2. substitution....because in one of the equations, u already have y...so just sub 6x - 13 in for y in the other equation
3. elimination....all u have to do is add them and ur y terms are eliminated, allowing u to find x
4. substitution....sub in x + 1 for y in the other equation
2x + 4(x + 1) = 28 y = x + 1
2x + 4x + 4 = 28 y = 4 + 1
6x = 24 y = 5
x = 4
the solution for this system is : (4,5)
5. elimination..
3x - y = -1 3(-2) - y = -1
2x + y = -9 -6 - y = -1
------------------add -y = -1 + 6
5x = -10 -y = 5
x = -2 y = -5
the solution to this system is : (-2,-5)
6. substitution.....sub in one y for the other
2/3x - 1 = -x + 4 y = -x + 4
2/3x + x = 4 + 1 y = -3 + 4
5/3x = 5 y = 1
x = 5 * 3/5
x = 3
so the solution to this system is (3,1)
7. substitution...sub one y in for the other
296 - 10x = 200 + 6x y = 200 + 6(6)
296 - 200 = 6x + 10x y = 200 + 36
96 = 16x y = 236
6 = x
so the solution for this system is (6,236)
Answer:
The answer is A
Step-by-step explanation:
Step 1: Use Cosine to find ∅
Cos∅=
∅=Cos
(
)
Therefore the answer is A
Answer:
she worked a total of 20 hours