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devlian [24]
3 years ago
11

If an item is discounted 20%, the sale price is what percent of the original price

Mathematics
1 answer:
Scrat [10]3 years ago
3 0
You need first the original price/number!
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For y = 6x + (-2) what is y when x = -1
PilotLPTM [1.2K]

Answer:

12

Step-by-step explanation:

6(-1)+(-2)

-6(-2)

12

I might be wrong so please forgive me if I am.

6 0
3 years ago
The realtor and her clients do not know the average home sale price for all of Guelph (500 was actually just a guess). However,
strojnjashka [21]

Answer:

a) The 99% confidence interval would be given by (346.708;453.292)

b) The 99% confidence interval would be given by (338.445;461.555)

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=400 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=80 represent the population standard deviation

n=15 represent the sample size  

2) Part a

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 0.99 or 99%, 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):

400-2.58\frac{80}{\sqrt{15}}=346.708    

400+2.58\frac{80}{\sqrt{15}}=453.292

So on this case the 99% confidence interval would be given by (346.708;453.292)    

3) Part b

For this case we don't know the population deviation so we need to use the t distribution instead the normal standard distribution.

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

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

We need to find the degrees of freedom first df=n-1=15-1=14

Since the Confidence is 0.99 or 99%, 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: "=-T.INV(0.005,14)".And we see that t_{\alpha/2}=2.98

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

400-2.98\frac{80}{\sqrt{15}}=338.445    

400+2.98\frac{80}{\sqrt{15}}=461.555

So on this case the 99% confidence interval would be given by (338.445;461.555)    

4 0
3 years ago
W-x=z make x the subject of the formula​
Makovka662 [10]

Answer:

x=w-z

add x to both sides   w=z+x

subtract z from both sides   w-z=x

5 0
3 years ago
Volume of composite figures
Feliz [49]

<u>✍️</u><u>Answer:</u>

  • The volume of the figure is 381 cubic in
<h3>✄ ---------------</h3>
  • v=L*W*H
  • v=(16)(7)(3)+1/2(3)(5)(6)
  • v=336+45
  • v=381 in^3

✮✮✮✮✮✮✮✮✮

<u>hope it helps...</u>

<u>have a great day!!</u>

7 0
2 years ago
A line has a slope of 3/5. a line parallel to that line would have a slope of
nekit [7.7K]
-3/5 they have opposite slopes so they would never touch but are parallel.
4 0
3 years ago
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