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natka813 [3]
3 years ago
14

Which linear expression would you add to -8b+5 to have a sum of -b?

Mathematics
1 answer:
snow_lady [41]3 years ago
4 0
-b
- (-8b+5)
_________
-b
+ (8b-5)
__________
Solution: 7b-5

Check: 7b-5
+ -8b+5
__________
-b
You might be interested in
The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard devia
atroni [7]

Answer:

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Let xS – xL represent the sampling distribution.

Mean s 6, means L 4. So

\mu = 6 - 4 = 2

Standard deviation s is 2.5, for L is 1.5. So

\sigma = \sqrt{2.5^2+1.5^2} = 2.915

Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

We have to find the z-score for X = 2.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{2.5 - 2}{2.915}

Z = 0.17

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

7 0
2 years ago
If you can buy 2⁄3 of a box of chocolates for 5 dollars, how much can you purchase for 4 dollars? Write your answer as a fractio
Salsk061 [2.6K]

Your answer is............................

8/15

4 0
3 years ago
Read 2 more answers
Is 4.15 greater than 4.051
I am Lyosha [343]
Yes (my answer need to be greater than 20 characters long so...Ahhhhh). A way to help you is see it as 4.1 and 4.0 because the # after the 1 aren't that important
6 0
2 years ago
What is the value of (-7 + 3) - (2 - 6)?
serious [3.7K]

Answer:

0

Step-by-step explanation:

(-7 + 3) - (2 - 6)

PEMDAS

Parentheses first

(-4) - (-4)

Subtracting a negative is adding

-4 +4

0

7 0
3 years ago
Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in
fgiga [73]
Let f(x) represents function that tells us Derek's earning depending on square feet of lawn mowed which is x.

First we construct function:

f(x) = x/1000 * 1 + 30

x/1000 is a number that tells us the number of mowed units. for x = 1000 square feet he earns 1 dollar that is why we have to divide x by 1000.

if he earned 204 first week that means that x =:
204 = x/1000 + 30
x/1000 = 174
x = 174 000
if we check for each week that he worked we will see that square footage of the lawns he mowed match forth (last) option.

Answer is D.
8 0
2 years ago
Read 2 more answers
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