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3 years ago

What ratio is equal to 7/8

Mathematics

1 answer:

yan [13]3 years ago

5 0

21/28 is equlvilant to 7/8

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Which prism can be made using the net

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The answer is a rectangular prism.<span />

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3 years ago

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Jordan has 3 toy cars. Jake has 10 times as many cars as Jordan does. How many cars does Jake have?

Viefleur [7K]

Answer:

Jake has 30 cars

Step-by-step explanation:

3 times 10 equals 30

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4 years ago

\frac { 6 ^ { n + 2 } - 6 ^ { n } } { 6 ^ { n + 1 } + 6 ^ { n } }

Sindrei [870]

Answer:

Step-by-step explanation:

Given expression:

$\dfrac{6^{n+2}-6^n}{6^{n+1}+6^n}$

$\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c$

$\implies \dfrac{6^n6^2-6^n}{6^n6^1+6^n}$

Factor:

$\implies \dfrac{6^n(6^2-1)}{6^n(6^1+1)}$

Cancel $6^n$ :

$\implies \dfrac{(6^2-1)}{(6^1+1)}$

Simplify:

$\implies \dfrac{36-1}{6+1}$

$\implies \dfrac{35}{7}$

$\implies 5$

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2 years ago

during a particular period a university's information technology office received 20 service orders for problems with printers, o

stira [4]

Answer:

0.2384 = 23.84% probability that 3 were laser printers.

Step-by-step explanation:

The printers will be chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

20 orders means that $N = 8$

8 were laser printers, which means that $k = 8$

Sample of 5 means that $n = 5$

What is the probability that 3 were laser printers?

This is P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,20,5,8) = \frac{C_{8,3}*C_{12,2}}{C_{20,5}} = 0.2384$

0.2384 = 23.84% probability that 3 were laser printers.

4 0

3 years ago