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Shalnov [3]
3 years ago
8

-9=x-41 Solve that using the opposite operation

Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

Answer:

x = 32

Step-by-step explanation:

-9 = x - 41

41 + (-9) = x -41 + 41

32 = x

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The average natural gas bill for a random sample of 21 homes in the 19808 zip code during the month of February was $311.90 with
Serhud [2]

Answer:

The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 21 - 1 = 20

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7247

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7247\frac{51.60}{\sqrt{21}} = 19.42

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 311.9 - 19.42 = $292.48

The upper end of the interval is the sample mean added to M. So it is 311.9 + 19.42 = $331.32

The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32

3 0
2 years ago
A commercial building has seven levels of car parking spaces. Each level has four rows and each row has 38 car spaces. How many
tatyana61 [14]

So, all we have to do here is multiply:

First, the amount of car spaces by the amount of rows:

38 x 4 = 152  

This is the number of parking spots per level.

Then, the number of levels by the number of parking spots on each level:

152 x 7 = 1064

So, a total of 1,064 cars can be parked in this building!

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Leya [2.2K]

Answer:

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So the dot on the graph would be an open dot and the number line would be shaded to the left.

Step-by-step explanation:

I do not see a number line, but

x < 4

So the dot on the graph would be an open dot and the number line would be shaded to the left.

6 0
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fiasKO [112]

Answer:

It would be C

Step-by-step explanation:

4 0
3 years ago
How many fractions are there between any two numbers on a number line?
klasskru [66]

Answer:

There are an infinite number of fractions in between numbers on a number line.

Step-by-step explanation:

The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.

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3 years ago
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