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ryzh [129]
3 years ago
15

You're at a clothing store that dyes your clothes while you wait. You get to pick from 444 pieces of clothing (shirt, pants, soc

ks, or hat) and 333 colors (purple, blue, or orange). If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with an orange hat?
Mathematics
1 answer:
AlexFokin [52]3 years ago
4 0

Answer:

1/12

Step-by-step explanation:

There are 4 clothing choices and 3 colors.

4x3=12

This means you have a 1 in 12 chance of getting an orange hat.

This presupposes that there are EQUAL numbers of pieces and colors.  (111 of each).

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If an item is 4.75 before tax and after is 5.13 how much is the sales tax rate?
Anestetic [448]

Answer:

8%

Step-by-step explanation:

Let's say the tax percent was x%. Then, we can write the equation:

4.75 + x% * 4.75 = 5.13

Notice that both terms on the left have 4.75 so factor that out:

4.75 * (1 + x%) = 5.13

Divide both sides by 4.75:

1 + x% = 5.13/4.75 = 1.08

Subtract 1 from both sides:

x% = 0.08

Remember that % simply means "out of 100", so x% = x/100:

x/100 = 0.08

Multiply both sides by 100:

x = 8

Thus, the tax rate is 8%.

Hope this helps!

5 0
4 years ago
Read 2 more answers
IS the decimal number 5.078, the digit in the hundredths place is a 7.<br>TRUE OR FALSE?????
Ksju [112]

Answer:

TRUE

The 7 is in the hundredths place

The 0 is in the tenths place

The 8 is in the thousandths place

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP (8)/(27) a^(15) cube of a monomial
vagabundo [1.1K]

Answer:

2/3a^5

Step-by-step explanation:

we know that 2/7x2/7x2/7 = 8/27

a^15  cube will be a^5

because we know (2^3)^2 = 2^6

so (a^5)^3 = a^15

2/3a^5

4 0
3 years ago
Pam needs 3 1/2 cups of sugar to make 50 cupcakes, a 5-pound bag of sugar costs $3.69. There are about 2 cups of sugar in a poun
Alja [10]

Answer:

$1.70

Step-by-step explanation:

3 0
3 years ago
In 2010, the estimated population of Los Angeles was 3.79 × 106 people. The population of California that same year was about 9.
Olegator [25]

Answer:

The approximate population of the state of California in 2010 was 37,293,600\ people

Step-by-step explanation:

Let

x----->the estimated population of Los Angeles in 2010

y----->the estimated population of the state of California in 2010

we know that

y=9.84x ------> equation A

we have

x=3.79*10^{6}\ people

Substitute the value of x in the equation A and solve for y

y=9.84(3.79*10^{6})=37.2936*10^{6}\ people

37.2936*10^{6}=37,293,600\ people

3 0
3 years ago
Read 2 more answers
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