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grigory [225]
3 years ago
6

In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first te

st. The equation as ˆ y = 10 + 0.75 x where y is the final-exam score and x is the score on the first test. Josh scored 70 on the first test. What is the predicted value of the Josh's score on the final exam?
Mathematics
1 answer:
Elanso [62]3 years ago
6 0

Answer:

Predicted final score of Josh = 62.5

Step-by-step explanation:

The linear regression relationship has been established between the final-exam score and  the score on the first test

The relation ship is represented by a linear equation -

y = 10 + 0.75 x\\

Where

x= score on the first test

Y= final-exam score

Substituting the value of x in above equation we will get -

Y = 10 + 0.75 * 70\\Y = 10 + 52.5\\Y = 62.5

Predicted final score of Josh = 62.5

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A typical tip in a restaurant is 18% of the bill. If the bill is 150,what would the typical tip be​
Natasha_Volkova [10]

<u><em>You want to leave a 18% tip on a meal that cost $150.</em></u>

<u><em>First, convert the 18% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 18%) by 100%.So, the conversational term "18%" becomes 18% / 100% = 0.18 in terms of a real mathematical number.</em></u>

<u><em>Second, you need to find out what 18% of your $150 meal cost is.This is always done by multiplying 0.18 by $150.00, or</em></u>

<u><em></em></u>

<u><em>0.18 x $150.00=$27.00.</em></u>

<u><em>So, the amount of tip you are going to leave is $27.00.</em></u>

<u><em></em></u>

<u><em>This makes the total cost of your meal (to write on your charge slip or other payment)</em></u>

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<u><em>$150.00 + $27.00 = $177.00. </em></u>

<u><em>-By TheRealMarinette</em></u>

<u>Please do not copy N Paste This Answer.</u>

8 0
2 years ago
Sold the equation. Round to the nearest hundredth. <br><br>17 · <img src="https://tex.z-dn.net/?f=1.8%5E%7B-x%2B7%7D%20%3D%205"
svetlana [45]

Answer:

Final answer is approx x=4.26.

Step-by-step explanation:

Given equation is 1.8^{-x+7} = 5

Now we need to solve equation 1.8^{-x+7} = 5 and round to the nearest hundredth.

1.8^{-x+7} = 5

\log(1.8^{-x+7}) = \log(5)

(-x+7)\log(1.8) = \log(5)

(-x+7) = \frac{\log(5)}{\log(1.8)}

(-x+7) = \frac{0.698970004336}{0.255272505103}

-x+7 = 2.73813274192

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x =4.26186725808

Round to the nearest hundredth.

Hence final answer is approx x=4.26.

4 0
2 years ago
Liam bought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot, including sales tax. If liam paid with an
HACTEHA [7]
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5 0
2 years ago
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marshall27 [118]

Answer:

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Step-by-step explanation:

The price without discount (or without the coupon) is x.

The price with discount (or with coupon) is y.

y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.

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Kisachek [45]
You would do 38 times 446 which equals 16056
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