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1 year ago

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Mathematics

1 answer:

S_A_V [24]1 year ago

7 0

Answer: 19

Step-by-step explanation:

Multiplying both sides of the equation by $-3$ gives that $x=19$ .

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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

Find the value of 'a' in the equation

Nastasia [14]

B) 9.5, hope this helps!

5 0

3 years ago

write an equation in slope intercept form satisfying the given equation : The line passes through (3,-8) and is parallel to the

nordsb [41]

Slope of the given line = 4
slope of the req. line = 4
equation of the line
y - y1 = m(x - x1)
y + 8 = 4(x - 3)
y + 8 = 4x - 12
4x - y - 12 - 8 = 0
4x - y - 20 = 0

8 0

3 years ago

A student says that (-1, 2) is a solution of y=3x-2 Are they correct or incorrect? Why?

Nina [5.8K]

Answer:

If you substitute (-1,2) meaning x and y

2=3(-1)-2

2=-3-2

2= -1

Step-by-step explanation:

he's incorrect since the solution does not equal 2 on both sides

3 0

3 years ago

Which system of equations will yield the same solution as x-y=3 2x-3y=-1

laiz [17]

Answer: Is there some answer choices? Because I can't help if I don't have any choices.

Step-by-step explanation:

5 0

3 years ago