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3 years ago

Of the four expressions presented here, which two are equivalent?

Mathematics

1 answer:

defon3 years ago

3 0

Expression I: 3n + 7 + n + 4n
Expression IV: 8n + 7

Hope this helped^^ :)

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According to records kept by Mariposa County, the average (mean) amount of time that it takes for employees to be reimbursed for

Aloiza [94]

Answer:

The probability of receiving reimbursement within 42 days of filing is 0.8849 = 88.49%

Step-by-step explanation:

Let $P(a \leq x \leq b)$ the probability of being reimbursed in an interval of a to b days, we want $P(0 \leq x \leq 42)$

First, standardize x by doing the change

$z=\frac{x-\mu}{\sigma}$

where $\mu$ is the mean of our original distribution and $\sigma$ the standard deviation. So

$z=\frac{x-36}{5}$

This change transforms the original distribution in a normal distribution N(0,1) with mean 0 and standard deviation 1.

This is done in order to easily compute the area under the normal curve.

Since,

$0 \leq x \leq 42\Rightarrow -36 \leq x -36 \leq 6\Rightarrow \frac{-36}{5} \leq \frac{x -36}{5} \leq \frac{6}{5}$

we then have

$-7.2 \leq z \leq 1.2$

And we want the area under the normal curve between -7.2 and 1.2. This can be done either by using a table or a computer, and we find this area is 0.8849,

Hence, the probability of receiving reimbursement within 42 days of filing is 0.8849 = 88.49%

4 0

4 years ago

Matt was given the problem: "16 is 80% of what?"

irga5000 [103]

Answer:

$\frac{16}{x} = \frac{80}{100}$

Step-by-step explanation:

To set up this proportion, we know that 16 must correspond with 80% and the x, the number we're looking for must correspond with 100%

$\frac{16}{x} = \frac{80}{100}$

This would be the correct proportion, and you could simplify it to equal

$\frac{16*100}{80}$

3 0

3 years ago

A bag contains green marbles and blue marbles,

dexar [7]

There are 13 green marbles in the bag.

Step-by-step explanation:

Total marbles = 18

Let,

Green marbles = x

Blue marbles = y

According to given statement;

The number of green marbles is 2 less than 3 times the number of blue marbles.

x = 3y-2 Eqn 1

x+y=18 Eqn 2

Putting value of x from Eqn 1 in Eqn 2;

$(3y-2)+y=18\\3y-2+y=18\\4y=18+2\\4y=20$

Dividing both sides by 4

$\frac{4y}{4}=\frac{20}{4}\\y=5$

Putting y=5 in Eqn 1

$x=3(5)-2\\x=15-2\\x=13$

There are 13 green marbles in the bag.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

8 0

4 years ago

A local pizzeria offers 14 toppings for their pizzas and you can choose any 5 of them for one fixed price. How many different ty

Ne4ueva [31]

$C(14,5)=\dfrac{14!}{5!9!}=\dfrac{10\cdot11\cdot12\cdot13\cdot14}{2\cdot3\cdot4\cdot5}=2002$

6 0

3 years ago

What is expression is equivalent to 2/4

tatuchka [14]

1/2 or 4/8 is the answer

4 0

3 years ago