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3 years ago

Why is neg2to the 4th power. Neg 16 .? -2times-2times-2times 2times = 16.

1 answer:

8 0

Is it written (-2)^4 or
-2^4 ?
These are different problems.
The first (-2)^4 means
(-2)(-2)(-2)(-2) = 16
The second -2^4 means
- 2 * 2 * 2 * 2 = -16

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3 years ago

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The number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. A sample of 1

evablogger [386]

Answer:

The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).

Step-by-step explanation:

The question is incomplete.

The number of hours registered in the sample are:

2051 2061 2162 2167 2169 2171

2180 2183 2186 2195 2196 2198

2205 2210 2211

The sample mean can be calculated as:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{15}(2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)\\\\\\M=\dfrac{32545}{15}\\\\\\M=2169.67\\\\\\$

We have to calculate a 98% confidence interval for the mean.

The population standard deviation is know and is σ=39.

The sample mean is M=2169.67.

The sample size is N=15.

As σ is known, the standard error of the mean (σM) is calculated as:

$\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{39}{\sqrt{15}}=\dfrac{39}{3.873}=10.07$

The z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_M=2.326 \cdot 10.07=23.43$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 2169.67-23.43=2146\\\\UL=M+t \cdot s_M = 2169.67+23.43=2193$

The 98% confidence interval for the population mean is (2146, 2193).

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3 years ago

PLEASE HELP IM GIVING ALL MY POINTS

Aleks [24]

Answer:

$216 or $162 (see below)

Step-by-step explanation:

If it's 18% for 9 months (and not per year)

then

1200x0.18=$216

If it's 18% per year then

1200x0.18x0.75=$162

5 0

3 years ago