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zmey [24]
3 years ago
7

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is

35 hours and the median is 31.2 hours. Twenty-four of the families in the sample turned on the television for 20 hours or less for the week. The 12th percentile of the data is 20 hours. Approximately how many families are in the sample?
Mathematics
1 answer:
katovenus [111]3 years ago
7 0

Answer:

200\ families

Step-by-step explanation:

Already, we are given 12% of our sample size as 24.

To find the sample size, we equate to find 100%.

Let sample size be denoted by t

If\  12\%=24\\100\%=t\\t=\frac{100\%\times24}{12\%}\\=200

Hence, the sample has 200 families.

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\huge{\boxed{\text{D}}}

This line is in the format y=mx+b, where m is the slope.

A horizontal line has a slope of 0.

A vertical line has an undefined slope.

A positive slope makes the line go upwards and to the right.

<em>A negative slope makes the line go downwards and to the right.</em>

5 0
3 years ago
What does x and y equal if 3x-2 equal x-y equals 4
Alex17521 [72]
<h3>x is 2 and y is -2</h3>

<em><u>Solution:</u></em>

Given that,

3x-2 equal x-y equals 4

Which means,

3x - 2 = x - y = 4

Therefore,

x - y = 4

Also,

3x - 2 = 4

Simplify above expression

3x - 2 = 4

3x = 4 + 2

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Divide both sides by 3

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Substitute x = 2 in x - y = 4

2 - y = 4

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3 0
3 years ago
A circle is shown. 2 raddi are drawn. A chord connects the points of the radii on the circle to each other to form a triangle. T
iragen [17]

Answer:

(5\pi-11.6)ft^2

Step-by-step explanation:

Given:

Length of radius of circle = 5 feets

Length of perpendicular bisector = 4 feets

To find:

Area of the shaded portion of the circle

Solution:

As OD is perpendicular bisector of AB,

AB=2AD=2(2.9)=5.8\,\,feets

\angle ODA=90^{\circ}

Area of \Delta AOB = 1/2 (base) × (height) = \frac{1}{2}\times 4\times 5.8=11.6  square feets

Area of sector AOBC = \frac{\angle AOB}{360^{\circ}}\pi(r^2)=\frac{72^{\circ}}{360^{\circ}}\pi(5^2)=5\pi  square feets

Here, r denotes radius of circle

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Download pptx
3 0
3 years ago
(3 points) A survey of 15651565 people who took trips revealed that 178178 of them included a visit to a theme park. Based on th
igor_vitrenko [27]

Answer:

We fail to reject the null hypothesis at 0.05 significance level. We cannot say that less than 12% of trips include a theme park visit.  

Step-by-step explanation:

let p be the proportion of trips included a visit to a theme park.

H_{0}: p=0.12

H_{a}: p<0.12

To test, we need to calculate test statistic of the sample proportion as:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of trips included visit to a theme park (\frac{178}{1565}=0.1137
  • p is the proportion assumed under null hypothesis. (0.12)
  • N is the sample size (1565)

Using the numbers, z=\frac{0.1137-0.12}{\sqrt{\frac{0.12*0.88}{1565}}}

= −0.767 and p(z) is ≈0.222

Since 0.222 > 0.05 we fail to reject the null hypothesis.

3 0
3 years ago
What is the circumference of the circle? Use 3.14 for π and 5 as the radius. Round to the nearest tenth if necessary. *
Bas_tet [7]

Answer:

25

Step-by-step explanation:

Jz

5 0
3 years ago
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