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3 years ago

5

I want to read 4 books over the next month. My bookshelf has 12 different books. In how many ways can I choose which books to re

ad over the next month, without regard to the order that I read them?

1 answer:

shusha [124]3 years ago

8 0

Answer:

Step-by-step explanation:

You are going to choose 4 books in any order.

Four = 12! /(8!4!) Remember that order doesn't matter, so we have 12C4

495

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What is the factored form of this expression? <br><br> -9x^3-12x^2-4x

vlabodo [156]

Answer:

-x(3x+2)2

Step-by-step explanation:

3 0

2 years ago

The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same

masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. $\mu_1 = 64$ $\sigma_1=2.7$

Since , $z=\dfrac{x-\mu}{\sigma}$

Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).

[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]

$z=\dfrac{72-64}{2.7}=2.96296296\approx2.96$

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. $\mu_2 = 69.3$ $\sigma_2=2.8$

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

$z=\dfrac{70-69.3}{2.8}=0.25$

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0

3 years ago

Can someone please help me-

puteri [66]

Answer:

can be expressed as decimal: 0.025

s= 1.025* $250

= $256.25

after 8 years

s= $250* 1.025^8

~$304.6

earned $54.6

Step-by-step explanation:

2 and a half is equivilant to 2.5

because it is a % (out of 100) move the decimal 2 places down

2.5-->0.25-->0.025

so can be expressed as decimal: 0.025

interest after 1 year is:

original amount of money * (interest rate+1.0)

+1 because you are adding on to 100%. you already have 100%. if it was just the interest rate, the amount of money would go down.

so

s= 1.025* $250

=1.025* 250

=256.25

interest after 8 years,

that means you have to take the original, and multiply it by the interest rate, then the new original multiply by intrest rate a total of 8 times

to do this use an exponent, because exponents base the total off the total before them. if that makes any sense srry

s= $250* 1.025^8

~$304.6 (I used calculator)

to get her earnings, subtract the new amount of money with her original amount of money

304.6-250

=54.6

$54.6

hope this helps

4 0

2 years ago

Read 2 more answers

Ninety-five percent of what number is 33.25?

notka56 [123]

Answer:

B

Step-by-step explanation:

Answer is 35

6 0

3 years ago

Read 2 more answers

A student sees a newspaper ad for an apartment that has 1330 square feet (ft2 ) of floor space. how many square meters of area a

kkurt [141]

We know 1 meter = 3.28084 feet

So 1 square meter = 3.28084 × 3.28084 square feet.

Now to convert from square feet to square meters, we need to divide by 3.28084 × 3.28084.

The area given in the news paper advertisement is 1330 square feet.

So to convert to square meters we divide by 3.28084 × 3.28084

We get

1330 square feet = $\frac{1330}{(3.28084)^{2} } =123.56$

Hence 1330 square feet of area is equal to 123.56 square meters.

3 0

3 years ago