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2 years ago

12

You will need 100 feet of fencing to put all the way around a rectangular garden. The length of the garden is 30 feet. What is t

he width?

1 answer:

gregori [183]2 years ago

5 0

Answer:

20 feet

Step-by-step explanation:

100-(2*30)=40

40/2=20

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Does anybody have any tips for remembering this customary capacity so I don't always have to look agh this chart?

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3 years ago

Read 2 more answers

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

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3 years ago

Which three statements describe how to find the product of 5×10^3

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3 years ago

Complete the statements and equations to find the product of 6 and 13

Alina [70]

Answer:

78

Step-by-step explanation:

the product of 6 and 13 =78

8 0

3 years ago

a clerk is paid $45.25 per hours for 40 hours a week, 1.50 times the regular rate of overtime and double the rate for a holiday.

KonstantinChe [14]

Given :

A clerk is paid $45.25 per hours for 40 hours a week, 1.50 times the regular rate of overtime and double the rate for a holiday.

To Find :

How much does the clerk get if he works overtime for 5 hours and 2 hours on holidays.

Solution :

Amount from regular job = $ 45.25 × 40 = $1810 .

Amount from overtime = $ (45.25×1.5) × 5 = $339.375 .

Amount from holiday = $ (45.25×2) × 5 = $452.5 .

Total amount clerk will get is :

T = $( 1810 + 339.375 + 452.5 )

T = $2601.875

Hence, this is the required solution.

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3 years ago