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2 years ago

What is the equation of the line that passes through the point -8, 0 and has the slope of -1 / 4

Mathematics

2 answers:

defon2 years ago

6 0

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = mx + b

0 = -1/4(-8) + b

0 = 2 + b, therefore b = -2

y = -1/4x - 2

svetlana [45]2 years ago

4 0

Answer:

y=-1/4x-8

Step-by-step explanation:

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Josh went to applebee and enjoyed a delicious steak. He enjoyed his server and wanted to give an extra special tip. Usually josh

Sonbull [250]

Answer:

Josh's total bill is $ 27.825

Step-by-step explanation:

Given:

The subtotal of the Josh Bill = $21.00

Finding the usual amount Josh gave as Tip To his sever:

Usually josh tips 20% to all servers

So Tip = 20% of his subtotal

=> $20\% \times 21$

=> $\frac{20}{100} \times 21$

=> $0.2 \times 21$

=>4.2

So Josh usually tips $4.2 to his server

Finding the amount Josh gave 25% as Tip To his sever:

But now he tips 25% which is

=> 25% of 21

=> $\frac{25}{100} \times 21$

=> $0.25 \times 21$

=> 5.25

Thus the tip amount will be $5.25

So he will be giving (5.25 - 4.2) = $1.05 more than the usual tip

Finding the total bill

The total bill = subtotal+ 7.5% sales tax + 25% tip

=> 21 + 7.5 % of 21 + 25% of 21

=> $21 + \frac{75}{100} \times 21 + \frac{25}{100} \times 21$

=> $21 +0.075 \times 21 + 0.25 \times 21$

=> 21 +1.575 +5.25

=>27.825

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Read 2 more answers

In 2006, 95% of new cars in the US came with a spare tire. In 2017, 72% came with a spare tire.

MArishka [77]

Using the Central Limit Theorem, it is found that:

The mean is 0.23.

The standard deviation is $s = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}$ .

<h3>Central Limit Theorem</h3>

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean $p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$

When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:

$p_1 = 0.95, s_1 = \sqrt{\frac{0.95(0.05)}{250}}$