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Whitepunk [10]
3 years ago
5

A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 ​respondent

s, 12​% chose chocolate​ pie, and the margin of error was given as plus or minus5 percentage points. What values do ModifyingAbove p with caret​, ModifyingAbove q with caret​, ​n, E, and p​ represent? If the confidence level is 99​%, what is the value of alpha​?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0
<h2>Answer with explanation:</h2><h2></h2><h3>The confidence interval for population proportion is given by :_</h3>

p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

Where : \sqrt{\dfrac{p(1-p)}{n}}=E is the margin of error , n is the sample size , p is the sample proportion of success and \alpha is the significance level.

Given : Confidence level : 0.99

Then , Significance level : \alpha: 1-0.99=0.01

Sample size : n= 1500

Sample proportion of ​respondents chose chocolate​ pie: p=0.12

Margin of error : E=\pm0.05

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zimovet [89]
Scale factor is 2
30/15 = 2
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3 years ago
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Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3
Gwar [14]

Answer:

30cm, 60cm

Step-by-step explanation:

Given data

Dimensions of the first rectangle

Length =10cm

Width =20cm

We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3

Hence the dimensions of the second rectangle is

Length =10*3= 30cm

Width = 20*3= 60cm

5 0
3 years ago
If I had a large square with 12 small squares shaded what percentage of the square is shaded
zhuklara [117]

<span>12% = 12 percent = 12 parts out of 100 = 12/100</span>

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6 0
3 years ago
Why is the value of q?
Rudiy27

Given:

QSR is a right triangle.

QT = 10

TR = 4

To find:

The value of q.

Solution:

Hypotenuse of QSR = QT + TR

                                 = 10 + 4

                                 = 14

Geometric mean of similar right triangle formula:

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{14}{q} =\frac{q}{4}

Do cross multiplication.

$\Rightarrow14\times 4 =q\times q

$\Rightarrow 56 =q^2

Switch the sides.

$\Rightarrow q^2 =56

Taking square root on both sides.

\Rightarrow q =2 \sqrt{14}

The value of q is 2 \sqrt{14}.

8 0
3 years ago
Which equation represents the line that passes through the points (6,-3) and (-4,-9)?
Citrus2011 [14]
I will give in y=mx+b and ax+by=c form

using point slope form
y-y1=m(x-x1)
where the slope is m and a point on that line is (x1,y1)

slope between 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x1-x1)

given
(6,-3) and (-4,-9)
slope=(-9-(-3))/(-4-6)=(-9+3)/(-10)=-6/-10=3/5
a point is (6,-3)

y-(-3)=3/5(x-6)
y+3=3/5(x-6)
y+3=3/5x-18/5
y=3/5x-33/5
-3/5x+y=-33/5
3x-5y=33


equation is
y=3/5x-33 or
3x-5y=33 or
y+3=3/5(x-6) or
y+9=3/5(x+4)
7 0
3 years ago
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