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Dmitriy789 [7]
2 years ago
15

Find the missing value so that the line passing through the points has the given slope.

Mathematics
1 answer:
Dominik [7]2 years ago
4 0

Answer:

y = 2

Step-by-step explanation:

use slope formula:

(4 - y) / (3 - 10) = -2/7

4-y / -7 = -2 /7

cross-multiply:

7(4 - y) = (-7)(-2)

28 - 7y = 14

-7y = -14

y = 2

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2 years ago
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In a sample of 70 stores of a certain​ company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi
uysha [10]

Answer:

We need at least 243 stores.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

n = 70, p = \frac{62}{70} = 0.886

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95​% confidence using the​ large-sample method.

We need at least n stores.

n is found when M = 0.04. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}

\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}

n = 242.5

Rounding up

We need at least 243 stores.

5 0
2 years ago
Bella used 2/9 of a paper pack, or 72 pieces. How many pieces of paper were there to start with?
prisoha [69]

Hello!

First, we need to find the unit rate.

72 divided by 2 = 36.

36 x 9 = 324.

There were 324 pieces of paper to start with.

Hope this helps, ~Pooch ♥

6 0
3 years ago
guillen floors advertise the same type of carpet at a cost of 10% less per square foot then Harlem Hardware determine the cost o
aev [14]
This question is incomplete. Harlem sells 500 square feet at $750
cost per square foot = 500/750 = $1.50 
10% of $1.50 is 0.15
cost per square foot - 10% discount = $1.50 - $0.15 = $1.35
Therefore, Guillens cost for 700 square foot is $1.35 * 700 = $945
5 0
3 years ago
Hono Golf is a manufacturer of golf products in Taiwan and China. One of the golf accessories it produces at its plant in Tainan
Elodia [21]

Answer:

Type I error.

Step-by-step explanation:

The decision to shut the process is triggered by the conclusion that the average height is significantly different from 66 mm.

This means that the null hypothesis, that states that the average height is not significantly different from 66 mm (μ=66), has been rejected.

If the null hypothesis is rejected, the error that can have been made is to reject a true null hypothesis, when the process is functioning to specification and the average length is not significantly different from 66.

This is a Type I error, that happens when a true null hypothesis is rejected.

4 0
2 years ago
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