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Rama09 [41]
3 years ago
11

From a sample with nequals24​, the mean number of televisions per household is 4 with a standard deviation of 1 television. Usin

g​ Chebychev's Theorem, determine at least how many of the households have between 2 and 6 televisions. At least nothing of the households have between 2 and 6 televisions.
Mathematics
1 answer:
Otrada [13]3 years ago
6 0

Answer:

At least 18 of the households have between 2 and 6 televisions.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by 100(1 - \frac{1}{k^{2}}).

In this question:

Mean = 4

Standard deviation = 1

Percentage of households that have between 2 and 6 televisions.

2 = 4 - 2*1

So 2 is two standard deviations below the mean

6 = 4 + 2*1

So 6 is two standard deviations above the mean

By Chebyshev's Theorem, at least 75% of the measures are within 2 standard deviations of the mean.

Out of 24

0.75*24 = 18

At least 18 of the households have between 2 and 6 televisions.

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NNADVOKAT [17]

Answer: Yes, because the total height will be 185 ft, which is less than the 310 ft limit.

Step-by-step explanation:

20+(15)(11)=185 < 310

8 0
1 year ago
Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
Vladimir79 [104]

Answer:

<u>Figure A</u>

Step-by-step explanation:

See the attached figure which represents the given options

We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.

As shown: point A will map to point L, point R will map to point P and point Q will map to point K.

we will check the options:

<u>Figure A</u>: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.

<u>Figure B: </u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.

<u>Figure C:</u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.

<u>Figure D:</u> the triangle ARQ and LPK can be mapped to each other using a rotation about point A.

So, the answer is figure A

<u>The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.</u>

3 0
3 years ago
Read 2 more answers
Plisss help me in thiss
ahrayia [7]

Answer:

x=80

Step-by-step explanation:

The angle of a line is 180*.

The equation would be (x+20)+x=180

Subtract 20 from both sides: 2x=160

Divide by 2: x=80

That's your answer!

I hope this helps!

3 0
3 years ago
Read 2 more answers
Is this right? I chose 15.
daser333 [38]

Answer:

Correct, it is 15

Step-by-step explanation:

Because 3 turns into 9, you also want to multiply the other by 3, so you’d do 5x3 to get 15

7 0
3 years ago
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Gretchen earns extra money mowing lawns on the weekend. She mows 3 lawns per hour and earns $12.00 per lawn. How much does Gretc
stepladder [879]

Gretchen will earn $48 from mowing in 4 hours

Data

  • Amount earned on each lawn = $12
  • Number of hours mowing = 4 hours

<h3>What is Rate</h3>

This is the measure of one unit against another unit. An example of this is speed which is the rate of distance covered to time.

In this case, she mows 1 lawn in each hour and earns $12 on each.

To calculate for 4 hours

4*12=$48

She earns $48 from mowing 4 lawns

learn more on rates here;

brainly.com/question/8728504

4 0
2 years ago
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