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KatRina [158]
3 years ago
5

A rectangular playground has an area of 768 square meters. If the width of the rectangle is 32 meters, find the length.

Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0
The length is 24 because 768 is the are and to find area you would do length x width but in this case the width has already been told so you have:
32 X____=768
so you do 768÷32= 24 so that's your answer sorry for such a long explanation which probably wasn't necessary but oh well!
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Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom
ira [324]

Answer:

a) The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

b) The 99% confidence interval would be given by (4.969;6.431)    

c) We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1.9 represent the population standard deviation

n=45 represent the sample size  

2) Part a

The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

3) Part b. Develop a 99 percent confidence interval for the population mean.

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

Now we have everything in order to replace into formula (1):

5.7-2.58\frac{1.9}{\sqrt{45}}=4.969    

5.7+2.58\frac{1.9}{\sqrt{45}}=6.431

So on this case the 99% confidence interval would be given by (4.969;6.431)    

4) Part c. Interpret the meaning of part (b).

On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

4 0
3 years ago
Rafael has a bag of marbles. There are 5 green marbles, 6 red marbles, and 4 white marbles, Rafael picks a marble out of the bag
Llana [10]

Answer:

10/15 or 2/3

Step-by-step explanation:

15 marbles and if you add 6 red and 4 white that is 10 out of 15 marbles

6 0
2 years ago
Please help me with this.<br> I need a maths genius<br> See pic below.<br> Thanks
adelina 88 [10]

Answer:

a =15

b=70

c=400

d=1500

e=5300

Step-by-step explanation:

it will help u

5 0
3 years ago
How do you simplify sin 4 theta using the double angle theory?
S_A_V [24]
Double angle formulae involve trigonometric functions of double angles and in order to get its value you must consider the following:
-derive the double angle formula from additional formula
-write the formula for the angle in alternative form
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-use the formula in the solution of trigonometric equations

And the answer would be 4sin(theta)cos(theta)cos(2theta)
3 0
2 years ago
The table shows the miles and total cost of renting a moped. Which function ƒ(x) is represented in the table?
Eddi Din [679]

Answer:

C

Step-by-step explanation:

if you put the x numbers (miles) in the x spot in the equation you will get your y answer. which ever one matches is your answer

8 0
2 years ago
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