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vovikov84 [41]
3 years ago
10

How are perpendicular lines and interesting line alike? How are they different?

Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0
Perpendicular lines= two line segments are perpendicular if they meet at the right angle.
Intersecting lines= two line segments that cross at any angle.
the difference is perpendicular lines have to cross at a right angle. intersecting lines that cross at any angle
the similarity is because they both cross each other.
sleet_krkn [62]3 years ago
3 0
Perpendicular lines and intersecting lines are the same because they both describe 2 lines that cross one another...

They are different because perpendicular lines cross one another in a specific way.  The intersection of perpendicular lines forms 90 degree angles, while intersecting lines just describes 2 lines crossing.  It could be at any angle.
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Roxanne has 42 hundreds of a dollar in change which shows the amount of change she has left
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$0.42 that is what your answer would be
7 0
3 years ago
At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical popul
vampirchik [111]

Answer:

a) Null Hypothesis: \mu =900

Alternative hypothesis: \mu \neq 900

b) The 95% confidence interval would be given by (910.05;959.95)    

c) Since we confidence interval not ocntains the value of 900 we fail to reject the null hypothesis that the true mean is 900.

d) z=\frac{935 -900}{\frac{180}{\sqrt{200}}}=2.750

Since is a bilateral test the p value is given by:

p_v =2*P(Z>2.750)=0.0059

Step-by-step explanation:

a. State the hypotheses.

On this case we want to check the following system of hypothesis:

Null Hypothesis: \mu =900

Alternative hypothesis: \mu \neq 900

b. What is the 95% confidence interval estimate of the population mean examination  score if a sample of 200 applications provided a sample mean x¯¯¯= 935?

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=935 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=180 represent the population standard deviation

n=200 represent the sample size  

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\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=3278.222

The sample deviation calculated s=97.054

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 table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

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

935-1.96\frac{180}{\sqrt{200}}=910.05    

935+1.96\frac{180}{\sqrt{200}}=959.95    

So on this case the 95% confidence interval would be given by (910.05;959.95)    

c. Use the confidence interval to conduct a hypothesis test. Using α= .05, what is your  conclusion?

Since we confidence interval not ocntains the value of 900 we fail to reject the null hypothesis that the true mean is 900.

d. What is the p-value?

The statistic is given by:

z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

If we replace we got:

z=\frac{935 -900}{\frac{180}{\sqrt{200}}}=2.750

Since is a bilateral test the p value is given by:

p_v =2*P(Z>2.750)=0.0059

So then since the p value is less than the significance we can reject the null hypothesis at 5% of significance.

8 0
3 years ago
The cost of a type of educational toy is expressed as y = 3x + 2. Find the rate of change.
NNADVOKAT [17]

Answer:

3

Step-by-step explanation:

<em>Rate of Change </em>is the same as <em>Slope</em><em>.</em><em> </em>According to the Slope-Intercept Formula, <em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em>,</em><em> </em><em>m</em><em> </em>is the <em>Rate</em><em> </em><em>of</em><em> </em><em> </em><em>Change</em><em> </em>[<em>Slope</em>].

I am joyous to assist you anytime.

6 0
3 years ago
PLEASE HELP
enot [183]

Answer:18.9 miles

1 inch=5.4

3.5 inches =3.5×5.4

=18.9miles

hope this helps

please like and mark as brainliest

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Mary is making some shirts for her school's drama department. The fabric store has yards of the fabric she wants in stock. But t
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Answer: she will need 4 yards of fabric to make 2 shirts

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