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BaLLatris [955]
3 years ago
6

I NEED HELP ASAP

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
4 0

Answer:

It is not reasonable that the state education department claims the percentage for the entire state is 73%.

Step-by-step explanation:

We are given that 191 of the 288 high school students surveyed at a local school said they went outside more during school hours as elementary school students than they do now as high school students.

Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;

                         P.Q.  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of high school students who went outside more during school hours as elementary school students than they do now as high school students =  \frac{191}{288} = 0.66

           n = sample of high school students = 288

            p = population percentage for the entire state

<em> Here for constructing a 90% confidence interval we have used a One-sample z-test for proportions. </em>

<em> </em>

The margin of error is given by;

       M.E.  =  2 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }

                =  2 \times \sqrt{\frac{0.66(1-0.66)}{288} }

      M.E.  =  0.056 or 5.6%

So, the confidence interval so formed = \hat p \pm \text{Margin of error}

                                                                = [0.66 - 0.056 , 0.66 + 0.056]

                                                                = [0.604, 0.716]

Since the above interval does not include 0.73 or the population proportion of 73% falls outside the above interval. So, it is not reasonable that the state education department claims the percentage for the entire state is 73%.

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Answer: Below

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In mixed number form it's:

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valentinak56 [21]

Answer:

Standard form of the line with point (4,-8) and slope of 1/4  is

-x + 4 y = -36.

Step-by-step explanation:

The slope of the line equation = 1/4

The point is given as (4,-8).

Now, by POINT SLOPE formula,

The line equation  with slope m  nad point (x0,y0) is given as:

(y - y0)  = m (x -x0)

So, the line equation here is given as

y -(-8)  =  \frac{1}{4} (x -4)\\\implies 4(y + 8)  = x - 4\\4 y + 32 = x - 4\\4y = x - 36

Now, the standard form of line equation is Ax + By  = C

Here,  4y = x - 36   ⇒  4y - x = -36

or, -x + 4y = -36 is the standard form.

Hence,standard form of the line with point (4,-8) and slope of 1/4

is -x + 4y = -36.

3 0
3 years ago
The following are score earned by 15 college students on a 20-point math quiz. (a) calculate the mean, median, and mode scores.
Softa [21]

Answer:

(a) 12.87; 14; 18; (b) median  

Step-by-step explanation:

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\begin{array}{rcl}\text{Mean} & = & \dfrac{0 + 2 + 3 + 12 + 12 + 13 + 14 + 14 + 15 + 15 + 18 + 18 + 18 + 19 + 20}{15}\\\\& = & \dfrac{193}{15}\\\\& = & \mathbf{12.87}\\\end{array}

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0, 2, 3, 12, 12, 13, 14, 14, 15, 15, 18, 18, 18, 19, 20

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0, 2, 3, 12, 12, 13, 14, 14, 15, 15, 18, 18, 18, 19, 20

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The histogram below shows the distribution of your data.

8 0
3 years ago
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Eudora spent 0.5 hours in running and 1.5 hours flying using her jet-pack.

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We know that distance is equal to speed times time.

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p= 9

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