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Zinaida [17]
1 year ago
5

A researcher wants to develop a product for families who have small children. He needs to determine if there is a nationwide int

erest in a toy that will help children describe their emotions. He asks only a sample of the population to complete his survey. What should be true of the sample so that the results of the survey can be used to predict the results of surveying the population?
The size of the sample should be the same size as the population.
The families included in the sample should represent the families in the population.
The families included in the sample cannot be included in the population.
The size of the sample should be larger than the size of the population.
Mathematics
2 answers:
erma4kov [3.2K]1 year ago
4 0

Answer:

B.The families included in the sample should represent the families in the population.

Step-by-step explanation:

krok68 [10]1 year ago
3 0

Answer:

b

Step-by-step explanation:

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The total area of the polygon is 176 square feet. Find the value of x.
My name is Ann [436]

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = \frac{1}{2}(\text{Base})(\text{Height})

                                                              = \frac{1}{2}(x)(8)

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

                                 = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = \frac{48}{8}

x = 6 ft

5 0
2 years ago
Read 2 more answers
"Suppose that Novak Djokovic and Roger Federer are playing a tennis match in which the first player to win three sets wins the m
o-na [289]

Answer: it could end in 20 different ways.

Step-by-step explanation:

This match could be

3x0 D or F

3x1 D or F

3x2 D or F

For 3x0

We have 2 options: DDD or FFF

2.P₁ = 2.1 = 2

For 3x1

We have 6 options

DFDD         FDFF

DDFD         FFDF    

FDDD         DFFF

2.3.1 = 6

For 3x2

we have 12 options:

DFDFD          FDFDF

DDFFD          FFDDF

DFFDD          FDDFF

FFDDD          DDFFF

FDFDD          DFDFF

FDDFD          DFFDF

2.3.2 = 12

In total we could have 20 outcomes.

5 0
2 years ago
8. Finley has 152 yellow, red, and blue marbles in a bag. He has seven more red marbles than yellow marbles, and three times as
DochEvi [55]

Let number of yellow marbles = x

Let number of red marbles = y

Let number of blue marbles = z


Given that Finley has 152 yellow, red, and blue marbles in a bag.

So we get equation:

x+y+z=152...(i)


"He has seven more red marbles than yellow marbles" means:

y=x+7...(ii)

"three times as many blue marbles as yellow marbles." means:

z=3x...(iii)

Now we just need to solve those equations to find the answer.


Plug (ii) and (iii) into (i)


x+(x+7)+(3x)=152

x+x+7+3x=152

Which looks similar to choice (B)


5x+7=152

5x=145

x=29

Hence final answer is choice B.

Required equation is

x+x+7+3x=152

Number of yellow marbles = 29

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