You are making several purchases from the I.B. Electric electronics store. You can buy from this store online or in a physical s
tore. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. Using the information below, which way would you save the most money?
Be sure to include the following information in your response:
the steps you followed to complete your computations.
the choice you made regarding which way to purchase the items.
the total cost of your purchases.
Be sure to include the following information in your response:
the steps you followed to complete your computations.
the choice you made regarding which way to purchase the items.
the total cost of your purchases.
1 answer:
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Answer:
Average Rate of Pay = $ 5.23 /hr
Step-by-step explanation:
We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:
x (Hours) = 12 13 16 17 20
y ($) = 54 56 65 64 100
The statistical data calculated is:
∑x = 78, ∑x² = 1258, ∑y = 339, ∑xy = 5504, n = no. of data points = 5
Now, we use linear regression model to fit a straight line to this data.
y = a + bx --------- eqn (1)
where,
b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]
b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]
b = 5.23
and,
a = (∑xy - b∑x²)/∑x
a = [5504 - (5.23)(1258)]/78
a = -13.83
Therefore, eqn (1) becomes:
<u>y = -13.83 + 5.23x</u>
The graph plot of this straight line fit is provided in the attachments.
Now, we derivate the equation with respect to x, to get the average rate of pay:
Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)
<u>Average Rate of Pay = $ 5.23 /hr</u>
Answer:
The t-score is -1.8432
Step-by-step explanation:
We are given the following in the question:
98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2
Formula:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 16.152
Population mean, μ = 98.6
Sample mean, = 98.22
Sample size, n = 20
Sample standard deviation, s = 0.922
First, we design the null and the alternate hypothesis
Formula:
Putting all the values, we have
The t-score is -1.8432