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natka813 [3]
4 years ago
12

Can you help me please

Mathematics
1 answer:
Murljashka [212]4 years ago
4 0
Jose has 21 cookies left over
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The Wall Street Journal reported that automobile crashes cost the United States $162 billion annually (2008 data). The average c
ivanzaharov [21]

Answer:

n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94

So the answer for this case would be n=94 rounded up to the nearest integer

Step-by-step explanation:

Information given

\bar X represent the sample mean

\mu population mean (variable of interest)

\sigma= 500 represent the population standard deviation

n represent the sample size  

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The confidence2 level is 98% or 0.98 then the significance level would be \alpha=1-0.98=0.02 and \alpha/2=0.01, the critical value for this case would be z_{\alpha/2}=2.326, replacing into formula (b) we got:

n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94

So the answer for this case would be n=94 rounded up to the nearest integer

8 0
3 years ago
Mom put plums and apples onto a plate. The ratio of the number of plums to the number of apples was 3:2. How many fruit did mom
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Answer:

30 fruits

Step-by-step explanation:

Let

x ----> number of plums on the plate

y ----> number of apples on the plate

we know that

The ratio of the number of plums to the number of apples was 3:2

so

\frac{x}{y} =\frac{3}{2}

x=1.5y ----> equation A

After Ed took 6 plums from the plate, the number of plums remaining on the plate became the same as the number of apples

so

x-6=y ----> equation B

substitute equation A in equation B

1.5y-6=y

solve for y

1.5y-y=6\\0.5y=6\\y=12

Find the value of x

x=1.5(12)=18

therefore

Mon put on the table

x+y=18+12=30\ fruits

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3 years ago
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7y + 4x - 10 + 5y - 5 + x
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Answer:

hope it helps u

Step-by-step explanation:

7y + 4x - 10 + 5y - 5 + x

= 7y+5y+4x+x–10–5

= 12y+5x–15

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Y is increased by 6 because if you imagine x being 3 then y would = 16 but if you increase x by 3 making 6 then y would = 22 and 16 increased by 6 is 22
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