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yuradex [85]
3 years ago
6

The product of-2 and the sum of a number and 8

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

-2(n+8)

Step-by-step explanation:

n is an unknown number

"the product" means multiplication

and "the sum" is addition

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Expand 2(p+q) ??????
soldier1979 [14.2K]

Answer:

2p+2q

Step-by-step explanation:

7 0
2 years ago
Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five student
AysviL [449]

Answer:

The mean calculated for this case is \bar X=584

And the 95% confidence interval is given by:

584-2.776\frac{86.776}{\sqrt{5}}=476.271    

584+2.776\frac{86.776}{\sqrt{5}}=691.729    

So on this case the 95% confidence interval would be given by (476.271;691.729)    

Step-by-step explanation:

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)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=584

The sample deviation calculated s=86.776

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=5-1=4

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,4)".And we see that t_{\alpha/2}=2.776

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

584-2.776\frac{86.776}{\sqrt{5}}=476.271    

584+2.776\frac{86.776}{\sqrt{5}}=691.729    

So on this case the 95% confidence interval would be given by (476.271;691.729)    

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2 years ago
A recipe calls for 7 tbsp of oil how many fluid ounces of oil do you need
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Answer:

3.5 fluid ounces

Step-by-step explanation:

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3 years ago
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2 years ago
Prove sin^2A + cos^2A = 1
Nady [450]

Step-by-step explanation:

{sin}^{2} A +  {cos}^{2} A  = 1 \\ lhs =  {sin}^{2} A +  {cos}^{2} A  \\  =  {sin}^{2} A +  1 - {sin}^{2} A  \\  = 1 \\  = rhs \\  \therefore \:  {sin}^{2} A +  {cos}^{2} A  = 1 \\

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