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valina [46]
3 years ago
12

Kate ships two copies of a small book in an envelope that weighs 4 ounces. the total weight of the shipment is 18 ounces. the eq

uation 2w + 4=18 represents this situation. What is the weight of each book?
Mathematics
1 answer:
nadezda [96]3 years ago
4 0
W represents the weight of each book
2w + 4 = 18
2w = 18 - 4
2w = 14
w = 14/2
w = 7 oz <===
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The Smiths purchased 6 containers of ice cream for a party. Each container holds 9 cups of ice cream. Before the party, their so
morpeh [17]

Answer: they have 68 servings of ice cream left for the party

Step-by-step explanation:

The Smiths purchased 6 containers of ice cream for a party. Each container holds 9 cups of ice cream. This means that the total number of cups of ice cream that they have is

6 × 9 = 54 cups

Before the party, their sons ate 3 cups of ice cream altogether. This means that the number of cups of ice cream that they have left is

54 - 3 = 51 cups

One serving is 3/4 cup of ice cream. This means that the number of serving that they have left is

51/0.75 = 68

3 0
3 years ago
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
Find each angle measure. ( Diagrams are not drawn to scale.)​
irina1246 [14]

Answer:

1-141

2-39

3-141

Step-by-step explanation:

180-39=141

1 and 3 look the same size and 2 looks the same as c (39°) so you jsut fill in for the letters

I'm pretty sure this is right

4 0
3 years ago
Anybody plz help me will give brainliest!!!
kodGreya [7K]

Answer:

24

Step-by-step explanation:

6 0
3 years ago
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Answer this question to get marked as brainliest!!!!
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Answer:

74 Degrees

Step-by-step explanation:

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