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2 years ago

Find the median of the data set: -66, -48, -52, -42

1 answer:

6 0

-66, -52, - 48, -42

If you can have 2 medians (since there is only 4 numbers), it is -52 and -48

If you can only have one,then i believe you choose -50, because it is in between -48 and -52

hope this helps

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Statements that can be proven by a logical sequence of statements is called a(n)

laila [671]

A)Theorem. every theorem can be proved.

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3 years ago

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Charlie’s portfolio has an expected annual return at 10%, with an annual standard deviation at 12%. Assume his investment return

Deffense [45]

Answer:

There is a 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.

Step-by-step explanation:

This is problem is solving using the Z-score table.

The Z-score of a measure measures how many standard deviations above/below the mean is a measure. Each Z-score has a pvalue, that represents the percentile of a measure.

What is the probability that the actual return will be between the mean and one standard deviation above the mean?

One measure above the mean is $Z = 1$

The mean is $Z = 0$

This means that this probability is the pvalue of $Z = 1$ subtracted by the pvalue of $Z = 0$ .

$Z = 1$ has a pvalue of 0.8413.

$Z = 0$ has a pvalue of 0.50.

This means that there is a 0.8413-0.50 = 0.3413 = 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.

3 0

3 years ago

( x + 2 )^2 - ( y + 2 )^2

GarryVolchara [31]

The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:

$a^2-b^2 = (a+b)(a-b)$

So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.

In this case, the squares are obvious: $(x+2)^2$ is the square of $x+2$ , and $(y+2)^2$ is the square of $y+2$

So, we can factor the expression as

$(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)] - [(x+2)+(y+2)]$

(the round parenthesis aren't necessary, I used them only to make clear the two terms)

We can simplify the expression summing like terms:

$(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)][(x+2)-(y+2)] = (x+y+4)(x-y)$

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2 years ago

Complete the table: 6,000 meters kilometers 8,000 9,000 5 7

Alex17521 [72]

Answer:

Remember while answering, 1 kilometer = 1,000 meters

5,000 ⇒ 5

6,000 ⇒ 6

7,000 ⇒ 7

8,000 ⇒ 8

9,000 ⇒ 9

Step-by-step explanation:

1 kilometer is 1,000 meters because "kilo" means 1,000

Knowing this we can make an equation to figure this out

When we know x, or meters, we can do y = x/1,000

When we know y, or kilometers, we can do x = 1,000y

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2 years ago

You operate the cash register at a retail store. A customer's total including tax, is $14.17, and you receive $20.00 as payment.

serious [3.7K]

Answer:

$ 20.00 - $14.17 = $5.83

Step-by-step explanation:

you have to take the amount of money given and subtract the total of the purchase , with the total including tax that makes it easier because you dont have to calculate it . so payment - total = change

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