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ozzi
3 years ago
10

Together, two people earn $28,000. One earns $2,000 more than the other. How much is the smaller income?

Mathematics
2 answers:
Inessa [10]3 years ago
3 0
Look at this:

2x+$2,000=$28,000
2x=$28,000-$2,000
2x=$26,000
x=26,000 divided by 2
x=$13,000

sergiy2304 [10]3 years ago
3 0
P1 +P2= 28 .     ----Equation 1
P1+2= P2 .       -------Equation 2 .          I abbreviate the thousands of $ 

Using substitution
P1+(P1+2)=28
2P1 +2=28
P1=13
then substitute into equation 2 we get
13+2=p2
P2=15

Therefore one is $15,000
and the other is 13,000

Smaller is 13,000!!!

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Thickness = 1 * 10^-5 inch

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Thickness = 10^-5 inch

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The thickness of a fingernail is about 10^-5 inch

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8 0
3 years ago
Does the sample provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package? Gro
kirill115 [55]

Answer:

As probability of that happening is very small; Yes, 33.6 is less than 35.6 grams   because   it  provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package.

Step-by-step explanation:

For a normal distribution Z-score

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

Given that :

the mean (\mu) = 35.6

standard deviation (\sigma) = 5.2

sample size (n) = 35

standard error: \sigma_x = \frac{\sigma}{\sqrt{n}}

\sigma_x = \frac{5.2}{\sqrt{35}}

\sigma_x = 0.879

The probability that a random sample of 35 bags has a mean weight of 33.6 grams or less is :

P(X<33.6)  = P(Z < - 2.28)

= 0.0114

Conclusion:

As probability of the happening is very small; Yes, 33.6 is less than 35.6 grams   because   it  provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package.

7 0
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