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Basile [38]
3 years ago
15

what must the length of segment ad be for the quadrilateral to be a parallelogram if ad=3x+7 and cb=5x-9

Mathematics
1 answer:
liraira [26]3 years ago
4 0
You just basically combined them.
3x+7=5x-9
-3x -3x
7=2x-9
x=8
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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
Which expression is equivalent to 2(3 - x) - 12 + 4x
iragen [17]
You would distribute then combine like terms to get your answer.

3 0
3 years ago
If 70 mL of solution contains 280 mg of drug, how many milligrams of drug are in 50 mL of solution?
Ierofanga [76]
280 mg = 70 Ml
280/70 = 4
50 mL x 4 = 200 mg

200 mg
8 0
1 year ago
What is the maximum of the numbers listed below?<br> 5.2, 5.4, 4.9, 4.4, 5.1
alexgriva [62]

Answer:

5.4

Step-by-step explanation:

5.2, 5.4, 4.9, 4.4, 5.1

4.4, 4.9, 5.1, 5.2, 5.4

5.4 is the maximum

Hope this helped!

7 0
3 years ago
Read 2 more answers
A school survey of 90 sixth graders showed that 25% of them play basketball and about 17% play soccer. What are the chances that
bogdanovich [222]

Answer:

0.0425

Step-by-step explanation:

probability of  basket player = 0.25

probability of being a soccer player = 0.17

chances that a sixth grader plays basketball AND soccer = 0.25×0.17 = 0.0425

7 0
3 years ago
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