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andrezito [222]
3 years ago
7

The product of a number and -7 amounts to seven times the sum of that number and 20. Find the number.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer: -10

Step-by-step explanation:

If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.

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{x{ x + 4<0 or 6x>-12)
lora16 [44]

Answer:

x\in (-\infty , -4) \cup (-2,+\infty)

Step-by-step explanation:

Solve the system of inequalities:

x + 4 < 0

OR:

6x > -12

The first inequality yields the solution:

x < -4

The second inequality gives the solution:

x > -2

The total solution is the disjunction of the individual solutions, i.e., the union of both.

It can be expressed as

\mathbf{x\in (-\infty , -4) \cup (-2,+\infty)}

4 0
2 years ago
The lower quartile is the _______ of the lower half of the data set.
Galina-37 [17]
Hey,

The lower quartile is the median of the lower half of the data set.

The median is the middle most number or the average of the two middle most numbers depending on how many values there are.

Cheers,
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7 0
3 years ago
if in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99%
Dahasolnce [82]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.

If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?

Given Information:

standard deviation = σ = 30 hours

confidence level = 99%

Margin of error = 6 hours

Required Information:

sample size = n = ?

Answer:

sample size = n ≈ 165

Step-by-step explanation:

We know that margin of error is given by

Margin of error = z*(σ/√n)

Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size

√n = z*σ/Margin of error

squaring both sides

n = (z*σ/Margin of error)²

For 99% confidence level the z-score is 2.576

n = (2.576*30/6)²

n = 164.73

since number of bulbs cannot be in fraction so rounding off yields

n ≈ 165

Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.

3 0
3 years ago
Someone please heellppp.
Feliz [49]

Answer:

for neg its -6-6 and for the right side 8-3

Step-by-step explanation:

7 0
2 years ago
there are two trucks for sale that would be perfect for your business. The blue truck is in perfect condition, but cost $8000 mo
kap26 [50]

subtract 172000 and 8000 then divide by 2 maybe

5 0
3 years ago
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