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Len [333]
3 years ago
14

The difference between x and 6 is less than 14

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

X-6=14

Add 6 on both sides

X=20

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Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i
Pavlova-9 [17]

Answer:

\bar X = \frac{Lower +Upper}{2}

\bar X= \frac{1.9+3.3}{2}= 2.6

And the margin of error with this one:

\bar X = \frac{Upper-Lower}{2}

ME = \frac{3.3-1.9}{2}= 0.7

Step-by-step explanation:

Assuming that the parameter of interest is the sample mean \mu. And we can estimate this parameter with a confidence interval given by this formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

For this case the confidence interval is given by (1.9, 3.3)

Since the confidence interval is symmetrical we can estimate the sample mean with this formula:

\bar X = \frac{Lower +Upper}{2}

\bar X= \frac{1.9+3.3}{2}= 2.6

And the margin of error with this one:

\bar X = \frac{Upper-Lower}{2}

ME = \frac{3.3-1.9}{2}= 0.7

7 0
4 years ago
Please help don’t know the answer
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Answer:

D

Explanation:

I'm just typing this part to get to 20 characters

4 0
3 years ago
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel
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Answer:

Part a) Daniel's age is 2 years

Part b) Kevin's age is 8 years

Step-by-step explanation:

<u><em>The question is </em></u>

Part a) How old is Daniel?

Part b) How old is Kevin?

Let

x ----> Kevin's age

y ----> Daniel's age

we know that

x=4y-----> equation A

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

Equate equation A and equation B

4y=y+6

solve for y

4y-y=6

3y=6

y=2

therefore

Daniel's age is 2 years

<em>Find the value of x</em>

substitute the value of y in any of the two equations

x=4(2)=8\ years

x=2+6=8\ years

therefore

Kevin's age is 8 years

6 0
3 years ago
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