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oksian1 [2.3K]
3 years ago
12

QUESTION 2 of 10: You have a budget of $3,000 to spend on a survey. If the base cost of the survey is $850 plus $4.50 per person

surveyed,
what is the sample size you can afford?
a) 477
b) 500
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
7 0

Answer:

Option A.

Step-by-step explanation:

Base cost of the survey is defined by the expression

Base cost C = 850 + 4.5x

where x = number of persons surveyed

If the budget to spend on a survey is = $3000

Then Number of person we can survey can be determined by

3000 = 850 + 4.5x

4.5x = 3000 - 850

4.5x = 2150

x = \frac{2150}{4.5}

x = 477.78

But the number of persons surveyed can not be in fraction.

Therefore, sample size we can afford is 477.

Option A. is the answer.

sleet_krkn [62]3 years ago
3 0

Answer:

A)477

Step-by-step explanation:

Subtract 850 from 3,000

2150

Divide 2150 by 4.50 to find out how many people can be surveyed.

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Svetach [21]

Answer:

x≤-2

Step-by-step explanation:

it would be that because if the graph is going to the left that means it is less than x and the opposite is for greater than. Now if there is a closed circle that means the sign is equal to hence the line under the sign. So therefore it's x≤-2

5 0
4 years ago
one mechanic can do a certain job in 4 days, a second mechanic in 6 days, and a third in 8 days. in what time can the three toge
Phantasy [73]
Now the first mechanic takes 4 days to do the job, so after he has worked for 1 day only, he has done 1/4 of the whole thing.

the second mechanic can do it in 6 days, so after 1 day only of work, he has done 1/6 of the whole thing.

the third mechanic can do it in 8 days, so after a day, he has done 1/8 of the total work.

now, if they all three work together, after 1 hour has gone by, the first mechanic has done 1/4 of the whole thing, the second mechanic has done 1/6 of it, and the last one, has done 1/8.

let's say it took all three working together "t" days, that means after 1 hour of work, they all combined have done 1/t of the whole thing, thus

\bf \stackrel{first~mechanic}{\cfrac{1}{4}}~+~\stackrel{second~mechanic}{\cfrac{1}{6}}~+~\stackrel{third~mechanic}{\cfrac{1}{8}}~=~\stackrel{total~work}{\cfrac{1}{t}}\\\\
-------------------------------\\\\
\textit{let's use our LCD of 24 on the left-hand-side}
\\\\\\
\cfrac{6~+~4~+~3}{24}=\cfrac{1}{t}\implies \cfrac{13}{24}=\cfrac{1}{t}\implies t=\cfrac{24}{13}\implies \stackrel{\textit{1day, 20hrs, 18mins}}{t=1\frac{11}{13}}
8 0
4 years ago
Jordan poured 20 L of water into an empty fish tank if 5/6 of the fish tank was filled find the capacity of the tank
earnstyle [38]

Answer:

the capacity of the tank would be 24 L

Step-by-step explanation:

24 ÷ 6 = 4

4 x 5 = 20

5 0
2 years ago
What is the product if a-3 and -2a^2+15a+6b2
Ierofanga [76]

The product if a-3 and -2a^2+15a+6b^2 is: -2a^3+21a^2+6ab^2-45a-18b^2

Step-by-step explanation:

In order to find the product of 2 expressions, distributive property can be used.

Given expressions are:

a-3\\and\\-2a^2+15a+6b^2

Product of given expressions

= (a-3)(-2a^2+15a+6b^2)\\= a(-2a^2+15a+6b^2)-3(-2a^2+15a+6b^2)\\= -2a^3+15a^2+6ab^2+6a^2-45a-18b^2

Combining like terms

= -2a^3+15a^2+6a^2+6ab^2-45a-18b^2\\=-2a^3+21a^2+6ab^2-45a-18b^2

Hence,

The product if a-3 and -2a^2+15a+6b^2 is: -2a^3+21a^2+6ab^2-45a-18b^2

Keywords: Expressions, product

Learn more about expressions at:

  • brainly.com/question/3269852
  • brainly.com/question/3280369

#LearnwithBrainly

3 0
4 years ago
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angl
Dmitry_Shevchenko [17]

<u>Answer:</u>

  • The value of x is 50°.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • x = y
  • 2(70 + 60) + x + y = 360

<u>Work:</u>

  • 2(130) + x + x = 360
  • => 260 + 2x = 360
  • => 2x = 360 - 260
  • => 2x = 100
  • => x = 50

Hence, <u>the value of x is 50°.</u>

Hoped this helped.

BrainiacUser1357

7 0
2 years ago
Read 2 more answers
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