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cupoosta [38]
3 years ago
5

What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip? (Total bill is the dinner cost plus the sales tax and

the tip.)
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0
$67.85 is the answer
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3 years ago
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4-13 Students in a management science class have just re- ceived their grades on the first test. The instructor has provided inf
inessss [21]

Answer:

a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.

Step-by-step explanation:

For part a,

We first plot the data using a graphing calculator.  We then run a linear regression on the data.

In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99.  This gives us the equation

y = 0.74x + 18.99.

For part b,

To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:

y = 0.74(83) + 18.99

y = 61.42 + 18.99 = 80.41

Rounded to the nearest percent, this is 80.

For part c,

The value of r is 0.92.  This tells us that the line is a 92% fit for the data.

The value of r² is 0.85.  This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.

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3 years ago
Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Ca
MakcuM [25]

Answer:

Use the graph and table to answer the questions.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Its D because store a and store c are selling it for the lowest price.

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