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ElenaW [278]
3 years ago
8

The sum of x and y is 7. The value of y is three more than the value of x. Write a system of equations to model this.

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0

Answer: x= 2 , y= 5 (5+2=7)

Step-by-step explanation:

I don't really know how to put it into an equation- but here's your values?? Sorry if this didn't help ):

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If the mean, median, and mode are all the same for 4, 9, 7, 8, and x, what is the value of x?​
seropon [69]
<h3>Answer:  x = 7</h3>

===========================================================

Explanation:

Since we have an odd number of values, this tells us that the median is part of the data set. It's the middle most item after we sort the values.

Recall that the mode is the most frequent item. Since the mode and median are the same, this must mean x can only be equal to one of the following

4, 9, 7 or 8

We can only pick one of those values.

----------------------

If x = 4, then the set {4,9,7,8,x} updates to {4,9,7,8,4} which sorts to {4,4,7,8,9}

The middle most item is in slot 3, which would be 7. So the median is 7.

The median 7 does not match with the mode 4.

So we cross x = 4 off the list.

-----------------------

If x = 7, then we have {4,7,7,8,9}

The mode is 7 and the median is 7. So far, so good.

Now let's compute the mean. Add up the values and divide by 5 because there are 5 items.

(4+7+7+8+9)/5 = 35/5 = 7

We've shown that the set {4,7,7,8,9} has mean 7.

Overall, that set has the same mean, median and mode. So the answer is confirmed.

I'll let you check the cases when x = 8 and x = 9.

8 0
3 years ago
Convert y + 1 = 3/4 (x - 16) to standard form.
Archy [21]
3x/4-y=13 or choice B
7 0
3 years ago
What is the quotient of 10?
olya-2409 [2.1K]

A quotient is the result of dividing one number by another. For example, the quotient of 6 and 3 equals 6/3 or 2. In your problem above it is asking you to provide the quotient of 10 and 2 meaning you divide the 2 into the ten and end up with 10/2 or 5.

So I think the answer is 10/2 or 5

5 0
2 years ago
2) The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen
algol [13]

The mean of the discrete probability distribution is of 1.28.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

Then, considering the given distribution, the mean is given by:

E(X) = 0(0.13) + 1(0.61) + 2(0.15) + 3(0.07) + 4(0.04) = 1.28.

More can be learned about the mean of a discrete probability distribution at brainly.com/question/24855677

3 0
2 years ago
Two whole numbers A and B satisfy the following conditions. Find A and B.
Alexus [3.1K]

Answer:

A=22 or 23

B=5

Step-by-step explanation:

5 0
3 years ago
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