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Vlad [161]
3 years ago
6

In the population of New Town, 30 percent of the people work for Bigg Corporation, 50 percent work in the public section, and 20

percent are self-employed. In a survey of 100 residents of New Town, 30 people worked for Big Corporation, 50 people worked in the public sector, and 20 people were self-employed.
This sample was _________.
Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Answer: Stratified Random Sample

Step-by-step explanation:

The sample is a stratified random sample in the sense that each of the population that was sampled consisted of the necessary groups that need to be considered in their right proportion of representation which makes the sample valid for us to reasonably draw a conclusion of what to expect in the larger sample space. This sample favours every possible member of the population and helps us adequately plan for all

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The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of
ycow [4]

The length of the longer base is 41 ft.

<u><em>Explanation</em></u>

Lets assume, length of one base is x ft.

As, another base is 19 less than five times the length of this base, so the length of another base = (5x- 19) ft.

The trapezoid has a height of 18 ft and area of 477 ft²

Formula for Area of trapezoid, A=\frac{1}{2} (a+b)*h , where a, b = Two bases of trapezoid and h = height of the trapezoid.

Given in the question: A= 477 and h= 18

We have also two bases as: a= x and b= 5x-19

So, according to the above formula...

A= \frac{1}{2}(a+b)h\\\\ 477=\frac{1}{2}(x+5x-19)*18\\\\ 477=9(6x-19)\\\\477= 54x-171\\\\477+171=54x\\\\648=54x\\\\x=\frac{648}{54} = 12

So, length of one base is 12 ft  and another base =(5*12-19)ft =(60-19)ft = 41 ft

That means, the length of the longer base is 41 ft.



8 0
3 years ago
A collection of dimes is arranged in a triangular array with 17 coins in the base row, 16 in the next, 15 in the next, and so fo
Crazy boy [7]

Answer:

153 coins will be there.

Step-by-step explanation:

The number of coin in the bottom row / or last row = 17

The number of coins in the second last row = 16

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The number of coins in the second row = 2

The number of coins in the first row = 1

So the total number of coins = (Number of coin in the first row) + (Number of coins in the second row) + (Number of coins in the third row) + ....... + (Number of coins in the last row / seventeenth row)

Total number of coins = 1+2+3+....+16+17

Total number of coins = \frac{17\times(17+1)}{2}=\frac{17\times18}{2}=17\times9=153

(NOTE: Sum of first n natural number = \frac{\boldmath n\times(n+1)}{2})

7 0
3 years ago
The length of the minute hand on a clock<br> is 8 in . what is the circumference?<br><br>​
Alenkinab [10]

Answer:

16π in

Step-by-step explanation:

circumference formula is 2πr

so as the minute hand goes around with time it will travel 16π in or 50.27in

5 0
3 years ago
The quotient of a number j and 3 is 5
masha68 [24]

Answer:

j = 15

Step-by-step explanation:

\frac{j}{3} =5\\3*\frac{j}{3} =5*3\\j=15

5 0
3 years ago
Somebody help me 33 please!!!
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The circle is divided in to 6 pieces.

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