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alisha [4.7K]
3 years ago
7

To survey a town about traffic concerns, Henry divided the town into eight regions and randomly chose 10 households from each re

gion. What type of sample did she form?
Mathematics
1 answer:
sergeinik [125]3 years ago
5 0
Given that <span>Henry divided the town into eight regions and randomly chose 10 households from each region in order to survey about traffic concerns. This type of sample is called</span> stratified sampling.

Stratified sampling<span> is a type of </span>sampling <span>method where</span><span> the researcher divides the population into separate groups, called strata and then, a probability </span>sample<span> (often a simple random </span>sample<span> ) is drawn from each group.</span>
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A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
puteri [66]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=7.1^0=Angle subtended by the statue to where you are standing.

\angle x=\angleRPQ which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR:

tan(x)=\frac{RQ}{PQ}=\frac{21}{57}

Which gives x to be:

x=tan^{-1} (\frac{21}{57})\approx 20.22^{0}

Now, we know that \angle x and \angle SPR will get added to give us the complete angle \angle SPQ in the right triangle \Delta PQS.

We can again use the tan trigonometric ratio in \Delta PQS to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57\times tan(27.32^0)

h\approx8.45 feet

Thus, the height of the statue is approximately, 8.45 feet.

5 0
3 years ago
Read 2 more answers
Give two examples of multi-step equation that have a solution of -2
vodomira [7]
Jimmy had 30 toys and 3 baskets each basket has 10 toys and he lost 2 how many mire will he have
8 0
3 years ago
5 -3 over 2 x &gt; 1 over 3
Elden [556K]
5-3/2 (1/3)

2/2=1
1*1/3 is 1/3

The answer is 1/3.

If helped mark me the brainiest
5 0
2 years ago
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Find the area. Use Pi = 3.14 a. 15.1976 cm2 c. 13.816 cm2 b. 6.908 cm2 d. 60.7904 cm2
amm1812

Answer:

A.

Step-by-step explanation:

Diameter = 4.4 cm

Radius = 2.2 cm

Now

Area of the circle = πr²

= (3.14)(2.2)²

= (3.14)(4.84)

= 15.1976 cm²

4 0
3 years ago
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Find the value of x.<br><br> A. 7<br> B. 3<br> C. 5<br> D. 35
Ghella [55]

ZW = WM and YP = PT

This means line PW is the middle of the shape.

PW = 29

YZ = 23

29-23 = 6

There is a difference of 6 btween the top line and the middle line, so there needs to be a difference of 6 from ther middle line to the bottom line.

The bottom line needs to equal: 29 +6 = 35

11x +2 = 35

Subtract 2 from each side:

11x = 33

Divide both sides by 11:

x = 33/11

x = 3

The answer is B.

6 0
3 years ago
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