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Stella [2.4K]
3 years ago
11

Evaluate 5x-6y-7z-3x+2y-z-4x-3y+z

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:

-2x-7y-7z

Step-by-step explanation:

I'm going to start off by separating the different variables and keeping the sign in front with it.

(5x-3x-4x) + (-6y+2y-3y) + (-7z-z+z)

After that it's simply solving a simplifying.

(-2x) + (-7y) + (-7z)

And your final answer should be...

-2x - 7y - 7z!

Hope I helped!

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Joe paid 14.00 for a board game this is 70% off the original price what is the original price?
soldi70 [24.7K]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be x.

x\times \frac{70}{100}=14

x\times \frac{7}{10}=14

Multiply both sides by 10.

7x=140

Divide both sides by 7.

x=20

The original price is 20. Therefore the correct option is B.

6 0
3 years ago
A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

7 0
3 years ago
Is the answer a gauze?
Zinaida [17]
I think so.. If not i am super sorry!!
8 0
3 years ago
0.6566 divided By 67
Step2247 [10]
The answer to that would be 0.0098.

6 0
3 years ago
Read 2 more answers
The first hill on a roller coaster is 155 feet tall. The first drop on a second roller coaster is about 11/20 as tall as the fir
Murljashka [212]

Answer:

85.25

Step-by-step explanation:

155 x (11/20) =85.25 feet

8 0
3 years ago
Read 2 more answers
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