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3 years ago

What is the best answer to report for (679 × 0.0025) 24.17?

1 answer:

4 0

Hi there!

Keep in mind that even though there is a number outside of the parentheses, you only use the distributive property of multiplication when the numbers inside the quantity are not being multiplied or divided by each other.

That means we need to multiply what is in the parentheses before multiplying what lays outside of them.

675 * 0.0025 = 1.6975

Now multiply 1.6975 times 24.17.

1.6975 * 24.17 = 41.028575.

And there you go!

Round, if necessary.

:)

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7. John worked 32 hours last week and 28 hours this week. If he gets paid

AlladinOne [14]

Answer:

$630

Step-by-step explanation:

week 1 : $336

week 2 : $294

gross pay : $630

6 0

3 years ago

A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago

The endpoint of a line segment is (-9, 7). The midpoint of the segment is (10, -3). Find the other endpoint. *show work*

slavikrds [6]

First we will find the x coordinate.

x1+x2 / 2 = the x coordinate of the midpoint.

-9 + x2 / 2 = 10
x2/2 -4.5 = 10
x2/2 = 14.5
x2 = 29

Now the y coordinate:

y1+y2 /2 = y coordinate of the midpoint

7 + y2 / 2 = -3
y2/2 + 3.5 = -3
y2/2 = -6.5
y2 = -13

So the other endpoint is (29,-13)

I hope i am right :)

8 0

3 years ago

WILL BE MARKED BRANLIEST: Activity

lisov135 [29]

Answer:

Step-by-step explanation:

4x + 6 movies

12 movies,

x =12

4x + 6 for x= 12

4(12) + 6 = 54

3 0