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Sloan [31]
3 years ago
8

A number k increased by 7 =34

Mathematics
2 answers:
Studentka2010 [4]3 years ago
8 0
34-7=27=k
--------------
grin007 [14]3 years ago
5 0
Let's set up this problem.
k+7=34
Subtract k from both sides.
k=27
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Answer: 2.083
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3 years ago
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The sum of two numbers is 40 and the difference is 4. What are the numbers?
Scilla [17]

Answer:

18, 22

Step-by-step explanation:

Half of 40 is 20 right? Then one number has to be 2 less, while the other number is 2 more. So there is a difference of 4.

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3 years ago
Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar
klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack

Where (from tables):

Z_{0.99}=2.33

Finally, the interval at 98% confidence level is:

CI(\mu)=\lbrack28.94,31.06\rbrack

4 0
1 year ago
Please help me with this
AfilCa [17]

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3 years ago
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