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Stells [14]
3 years ago
12

Find the angle 0 between the vectors.

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0

Answer:

If θ is the angle between two vectors u and v, then cosθ = (u·v

Step-by-step explanation:

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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
$3.00 for 150 golf tees
stepladder [879]

Answer:

2 cents a tee

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A set of bivariate data was used to create a least-squares regression line. Which of the following is minimized by the line? The
Akimi4 [234]

Answer:

The sum of the squared residuals

Step-by-step explanation:

If you sum the residuals, you would get 0

if you sum of the absolute values of the residuals you wouldn't be doing "least-squares regression"

The influence of outliers D The slope is another metric that has nothing to do in creating the regression line

8 0
3 years ago
Yoda soda is the intergalacatic party drink .You are throwing a party and you need 5 liters of Yoda soda for 12 guest. If you ha
aksik [14]

Answer:

15 liters

Step-by-step explanation:

Given:

We need 5 liters of Yoda soda for 12 guest.

To find:

If we have 36 guest how many liters of Yoda soda we need.

Solution:

<u>By unitary method:</u>

For 12 guests, we need liters of Yoda soda = 5

For 1 guest, we need liters of Yoda soda = \frac{5}{12}

For 36 guests, we need liters of Yoda soda = \frac{5}{12}\times36=\frac{180}{12} =15\ liters

Therefore, we need 15 liters of Yoda soda for 36 guests.

7 0
3 years ago
Help me please i have no idea. NO GUESSING
Diano4ka-milaya [45]
The answer  for this equation full simplify is (D.)  
3 0
3 years ago
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