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3 years ago

11 3/4-7 1/4 evaluate answer need asap

Mathematics

1 answer:

Debora [2.8K]3 years ago

8 0

Answer:

−6

Step-by-step explanation:

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36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 100, \pi = \frac{36}{60} = 0.6$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44$

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0

3 years ago

A hair salon receives a shipment of 84 bottles of hair conditioner to use and sell to customers. The two types are labels type A

Rom4ik [11]

$x-\ botlle\ A\\y-\ bottle\ B\\\\ \left \{ {{x+y=84} \atop {6,5x+8,25y=588}} \right. \\\\ \left \{ {{x=84-y} \atop {6,5x+8,25y=588}} \right. \\\\Substitution\ method\\\\
6,5(84-y)+8,25y=588\\\\
546-6,5y+8,25y=588\ \ \ | subtract\ 546
1,75y=42\ \ \| divide\ by\ 1,75\\\\y=24\\\\There\ were\ 24\ bottles\ B\ and\ 42\ bottle\ A.$

6 0

3 years ago

Find the midpoint of the segment with the given endpoints (5,-9) and (-2,-2)

QveST [7]

Another way to solve this is to use the Midpoint Formula. The midpoint of a segment joining points $(x_1,y_1)$ and $(x_2,y_2)$ is

$\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} \right)$

So the midpoint of your segment is

$\left(\frac{5+(-2)}{2},\frac{-9+(-2)}{2}\right) = \left(\frac{3}{2},-\frac{11}{2} \right)$

Perhaps it helps to see that the x-coordinate of the midpoint is just the average of the x-coordinates of the points. Ditto for the y-coordinate of the midpoint; just average the y's.

6 0

3 years ago

Please answer this now in 2 minutes

ValentinkaMS [17]

Answer:

(1, 2)

Step-by-step explanation:

x2-x1/2, y2-y1/2

Plug in the values, and you should get (1, 2)

7 0

3 years ago

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