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Sixteen college freshmen were asked to record the number of alcoholic drinks they typically consume in a week. Here are their data: 2, 4, 6, 0, 1, 10, 9, 0, 6, 3, 6, 8, 5, 4, 6, 2. What is the variance of the number of alcoholic drinks consumed per week?a.3.26
b.2.96
c.12.25
d.8.75

Answers

Answer 1
Answer:

Solution: The correct option is d. 8.75

Explanation:

The formula for variance is:

Variance =\frac{\sum(x-\bar{x})^(2)}{n}

First we need to find the mean \bar{x} of the given data:

\bar{x}=(2+4+6+0+1+10+9+0+6+3+6+8+5+4+6+2)/(16)=(72)/(16) =4.5

Now let's find \sum(x-\bar{x})^(2), please have a look at the attached picture:

\therefore Variance = (140)/(16)=8.75

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Celine and Arlene shared $400. Celine received $50 more than Arlene. How much money did Arlene receive?

Answers

Answer:

Arlene had 175 and Celine had 225

Step-by-step explanation:

Work out the percentage change to 2 decimal places when a price of £70 is increased to £99.

Answers

The percentage change in the price is 41.42%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a price of £70 is increased to £99.

Now, the difference is 99-70=29

Percentage increase is 29/70 ×100

= 0.4142×100

= 41.42%

Therefore, the percentage change in the price is 41.42%.

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Answer: Your answer is 41.43%

To calculate, it is simply (99-70)/70 x 100

which is  equal to 41.43%

Step-by-step explanation:

2. Mrs. Gardner is buying a television for $675.50 with a sales tax rate of 7%,what is the sales tax amount? What is her total?

Sales Tax:
Total:

Answers

9514 1404 393

Answer:

  • $47.29 tax
  • $722.79 total

Step-by-step explanation:

The sales tax is ...

  7% × $675.50 = 0.07 × $675.50 = $47.285 ≈ $47.29

The total purchase price is ..

  $675.50 +47.29 = $722.79

Can someone help me with this please?

Answers

let's see what to do...

Figure A is scaled image of Figure B.

So Figure A must be made in a proportion of Figure B.

We should find the ratio:

to find the ratio we have to use the same known sides.

ratio = (5)/(2) \n

Also we have :

ratio = (12.5)/(x) \n

So we have :

(5)/(2) = (12.5)/(x) \n

Multiply the sides by 2x :

5 \: x = 25 \n x = 5

And we're done.

Thanks for watching buddy good luck.

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Simplify 3(2x + y) using the distributive property.

Answers

The simplification of the expression 3(2x + y is 6x +3y

What is distributive property?

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

For example, a ( x +y) can be written in the form

ax + ay .

Similarly, simplifying 3(2x +y) using distributiveproperty means

3× 2x + 3 × y

= 6x + 3y

Therefore the simplification of the expression 3(2x + y) is 6x + 3y.

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Answer:

the solution is just 6x+3y

thats all

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Answers

Answer:

Check pdf

Step-by-step explanation:
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