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Lynna [10]
3 years ago
12

Prove: segment SD = segment PD

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

C

Step-by-step explanation:

SD is congruent to PD and both triangles share the same side with each other.

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Construct a polynomial function with the following properties: fifth degree, 5 is a zero of multiplicity 4, −4 is the only other
mario62 [17]
5(x-5)^4(x+4)
you raise x-5 to the 4th power because 5 has a multiplicity of 4
5 0
3 years ago
Read 2 more answers
Again ... Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S.
VladimirAG [237]

Answer:

We conclude that the mean commute time in the U.S. is less than half an hour.

Step-by-step explanation:

We are given that a random sample of 500 people from the 2000 U.S. Census is selected who reported a non-zero commute time.

In this sample the mean commute time is 27.6 minutes with a standard deviation of 19.6 minutes.

Let \mu = <u><em>mean commute time in the U.S..</em></u>

So, Null Hypothesis, H_0 : \mu \geq 30 minutes      {means that the mean commute time in the U.S. is more than or equal to half an hour}

Alternate Hypothesis, H_A : \mu < 30 minutes     {means that the mean commute time in the U.S. is less than half an hour}

The test statistics that would be used here <u>One-sample t-test statistics</u> as we don't know about population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean commute time = 27.6 minutes

            s = sample standard deviation = 19.6 minutes

            n = sample of people from the 2000 U.S. Census = 500

So, <u><em>the test statistics</em></u>  =  \frac{27.6 -30}{\frac{19.6}{\sqrt{500} } }  ~ t_4_9_9

                                       =  -2.738

The value of t test statistic is -2.738.

Since, in the question we are not given with the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -1.645 at 499 degree of freedom for left-tailed test.</u>

Since our test statistic is less than the critical value of t as -2.378 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis.</u>

Therefore, we conclude that the mean commute time in the U.S. is less than half an hour.

4 0
3 years ago
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Agata [3.3K]

Answer:

x is equal to 15.62 .......

3 0
2 years ago
I need help on this please help me
lbvjy [14]

Answer:

(0,-4-4√6) and (0,-4+4√6)

Step-by-step explanation:

To determine the coordinates as Jon wants to place it 14 points away

√10^2+(a+4)^2 = 14

100+(a+4)^2 = 196

(a+4)^2 = 96

a+4 = ±√96

a+4 = ±4√6

a= -4±4√6

4 0
2 years ago
Read 2 more answers
Please Help! AC is tangent to circle O at A. The diagram is not to scale
Alenkinab [10]

Answer:

As shown in picture, AC is tangent to circle O

=> angle BAC = 90 deg

As the property of angle on circle:

=> BAY = (1/2) arc BY = (1/2) x 52 = 26 deg

=> angle YAC = angle BAC - angle BAY = 90 - 26 = 64 deg

Hope this helps!

:)

5 0
2 years ago
Read 2 more answers
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