Answer:
13, 14, 15
Step-by-step explanation:
Three consecutive integers have a sum of 42 means which 3 numbers in a row add up to 42
We can call the lowest integer x,
the next integer x+1 (since our integers need to be even)
the third integer x+2
algebraic equation: 42 = x + (x+1) + (x+2).
Combine like terms on the right side,
42 = 3x + 3
Subtract 3 from each side
39 = 3x
Divide each side by 3
x=13, which is our lowest integer.
The next two integers we find with 13 + 1 =.14 and 13 + 2 = 15
13 + 14 + 15 = 42.
Answer:
For ![\[20\]](https://tex.z-dn.net/?f=%5C%5B20%5C%5D)
minutes Elena add water to correct the error.
Step-by-step explanation:
The capacity of the washing machine is gallons.
She uses gram soap for ![\[10\]](https://tex.z-dn.net/?f=%5C%5B10%5C%5D)
gallon of water
Her son by mistake dissolved ![\[60\]](https://tex.z-dn.net/?f=%5C%5B60%5C%5D)
grams of soap to gallons of water.
![\[60\]-](https://tex.z-dn.net/?f=%5C%5B60%5C%5D-)
gram soap is right for ![\[30\]](https://tex.z-dn.net/?f=%5C%5B30%5C%5D)
gallons of water, thus gallon of water must be added more.
She pore water ![\[2\]](https://tex.z-dn.net/?f=%5C%5B2%5C%5D)
gallons per minute thus, gallons of water will takeminutes.
Learn more about equations : brainly.com/question/20727602?referrer=searchResults
Answer:
a = 33 degrees
Step-by-step explanation:
Note that 57 degrees and Angle a are complementary: they add up to 90 degrees.
Thus, a = 90 degrees less 57 degrees = 33 degrees
The computation shows that the price of the used computer is $75.
<h3>How to compute the price?</h3>
From the information given, it should be noted that there are 5 members before the new members joined and $15 was given to each member.
Therefore, the price of the used computer will be:
= $15 × 5
= $75
The price of the used computer is $75.
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Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.
