Which expression is equivalent to 3(2h-6)-7h

Answers

Answer 1

Answer:

Answer:

3×-4-7h

.............

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What is the cube root of 8/125

Answers

Answer:

$(2)/(5)$

Step-by-step explanation:

Note the $\sqrt[3]{8}$ = 2 and $\sqrt[3]{125}$ = 5

Thus

$\sqrt[3]{(8)/(125) }$ = $\frac{\sqrt[3]{8} }{\sqrt[3]{125} }$ = $(2)/(5)$

Answer:

2/5

Step-by-step explanation:

8 = 2^3

125 = 5^3

Amie published her first book. She was given $20,000 and an additional $0.15 for each copy that sold. Her earnings,d, in dollars,from the publication of the book are given d=20,009 + 0.15n where n is the number of copies sold. During the first year, Amie earned $22,100 from the publication and the sale of her book. How many copies of her book were sold?

Answers

Answer: 139 copies of her book were sold.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Earnings (d)

d= 20,009+0.15n

Where "n" is the number of copies sold.

If she earned $22,100, we have to replace the value of d by the number given:

22,100 = 20,009 +0.15 n

Solving for n

22,100-20,009 = 0.15n

2,091=0.15n

2,091/15=n

139.4=n

n≅139 books (rounded)

Feel free to ask for more if needed or if you did not understand something.

d=20,009 + 0.15n
$22,100 = 20,009 + 0.15n
$2091 = 0.15n
n = 2091/.15 = 13940

What fraction does each month have of a year

Answers

Hello,

Okay there are 12 months so that is the denominator and each month counts as one so that is the numerator. So the fraction would be 1/12.

Hope I Helped ;)

In a survey, 70 out of 84 people from the north prefer professional football over college football. 120 people from the south were asked the same question. In order for favorite type of football and region to be independent, how many people in the south would have to prefer professional football

Answers

Answer: Around 100 people will answer that they prefer professional football.

Step-by-step explanation:

In the north, 70 out of 84 prefer professional football, then the relative frequency is

p = 70/84 = 0.83

Now, in the south, they asked to 120 people, and we can assume that the relative frequency will be about the same than in the north (because the relation is independent, which means that the region does not affect on the answer to the question of if they prefer professional or college football), so we have that if X people prefer professional football, we have:

p = X/120 = 0.83

X = 120*0.83 = 100

So around 100 people will answer that they prefer professional football.

Find the variance and standard deviation of the given set of data to the nearest tenth.{440, 130, 280, 500, 150, 640, 760}

A) variance = 222.7, standard deviation = 49,595.9

B) variance = 49,595.9, standard deviation = 24,798

C) variance = 49,595.9, standard deviation = 222.7

D) variance = 57,861.9, standard deviation = 240.5

Answers

Answer:

Part 1) variance = 49,595.9

Part 2) standard deviation = 222.7

Option C

Step-by-step explanation:

we have

set of data $[440,130,280,500,150,640,760]$

step 1

Find the mean

Adds the values and divide by the number of values

In this problem the number of values is 7

$[440+130+280+500+150+640+760]/7$

$[2,900]/7=414.3$

step 2

for each number: subtract the Mean and square the result

$(440-414.3)^(2)=660.49\n (130-414.3)^(2)= 80,826.49\n (280-414.3)^(2)= 18,036.49\n (500-414.3)^(2)= 7,344.49\n (150-414.3)^(2)= 69,854.49\n (640-414.3)^(2)= 50,940.49\n (760-414.3)^(2)=119,508.49$