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german
3 years ago
15

21 out of 24 students did their homework. What percent did NOT do their homework.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
5 0

If 21 out of 24 students did their homework, 3 out of 24 did not do it.

This written as a fraction is 3/24 and can be reduced to 1/8.

This in decimal form is 0.125 .

To convert the decimal to a percent, multiply by 100 and put a percent sign at the end of the number.

0.125 × 100 = 12.5

12.5%

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Karla rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Brad rode his bicycle 102 miles in 6 weeks, rid
blsea [12.9K]

Answer:

Karla's 15 miles per week to Brad's 17 miles per week.

Step-by-step explanation:

First, we would need find the total number of miles each individual rides per week. We do this by dividing the total miles ridden by the number of weeks it took for each individual like so...

Karla:  135 / 9 = 15 miles per week

Brad:   102 / 6 = 17 miles per week

Finally, the comparison would be

Karla's 15 miles per week to Brad's 17 miles per week.

8 0
3 years ago
What is 150 percent as a mixed number
scZoUnD [109]
150% as a mixed number is 1.5 which = 1 1/2
6 0
3 years ago
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Suppose that the amount of time T a customer spends in a bank is exponentially distributed with an average of 10 minutes. What i
Bad White [126]

Answer:

The probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is 0.6065.

Step-by-step explanation:

The random variable <em>T</em> is defined as the amount of time a customer spends in a bank.

The random variable <em>T</em> is exponentially distributed.

The probability density function of a an exponential random variable is:

f(x)=\lambda e^{-\lambda x};\ x>0

The average time a customer spends in a bank is <em>β</em> = 10 minutes.

Then the parameter of the distribution is:

\lambda=\frac{1}{\beta}=\frac{1}{10}=0.10

An exponential distribution has a memory-less property, i.e the future probabilities are not affected by any past data.

That is, <em>P</em> (<em>X</em> > <em>s</em> + <em>x</em> | <em>X</em> ><em> s</em>) = <em>P</em> (<em>X</em> > <em>x</em>)

So the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is:

P (X > 15 | X > 10) = P (X > 5)

\int\limits^{\infty}_{5} {f(x)} \, dx =\int\limits^{\infty}_{5}  {\lambda e^{-\lambda x}} \, dx\\=\int\limits^{\infty}_{5}  {0.10 e^{-0.10 x}} \, dx\\=0.10\int\limits^{\infty}_{5}  {e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10}|^{\infty}_{5}\\=[-e^{-0.10 \times \infty}+e^{-0.10 \times 5}]\\=0.6065

Thus, the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is 0.6065.

8 0
3 years ago
Which polynomial expression represents a sum of cubes? (6 – s)(s2 + 6s + 36) (6 + s)(s2 – 6s – 36) (6 + s)(s2 – 6s + 36) (6 + s)
Nadusha1986 [10]

Answer:

Option 3 is correct that is (6+s)(s^2-6s+36)

Step-by-step explanation:

 We have general formula for sum of cube which is

a^3+b^3=(a+b)(a^2+b^2-ab)

Here, we have a=s and b=6

on substituting the values in the formula we will get

6^3+s^3=(6+s)(s^2+6^2-6s)

After simplification we will get

6^3+s^3=(6+s)(s^2+36-6s)

After rearranging the terms we will get

6^3+s^3=(6+s)(s^2-6s+36) which exactly matches option 3 in the given options.

Therefore, option 3 is correct that is (6+s)(s^2-6s+36)



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3 years ago
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What is the perimeter of a square with a side length of 14 m?
bekas [8.4K]

Answer:

56m..................

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3 years ago
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