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Nuetrik [128]
2 years ago
15

Please help me I need all this work done

Mathematics
1 answer:
svetoff [14.1K]2 years ago
8 0

Answer:

  31°

Step-by-step explanation:

Transversal BD crosses parallel lines AB and CD, creating alternate interior angles ∠2 and ∠5. As you know, alternate interior angles are congruent, so have the same measure.

  m∠5 = m∠2 = 31°

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Suppose a simple random sample of size nequals81 is obtained from a population with mu equals 79 and sigma equals 18. ​(a) Descr
Daniel [21]

Answer:

(a) The sampling distribution of\overline{X} = Population mean = 79

(b)  P ( \overline{X} greater than 81.2 ) =  0.1357

(c) P (\overline{X} less than or equals 74.4 ) = .0107

(d) P (77.6 less than \overline{X} less than 83.2 ) = .7401

Step-by-step explanation:

Given -

Sample size ( n ) = 81

Population mean (\nu) = 79

Standard deviation (\sigma ) = 18

​(a) Describe the sampling distribution of \overline{X}

For large sample using central limit theorem

the sampling distribution of\overline{X} = Population mean = 79

​(b) What is Upper P ( \overline{X} greater than 81.2 )​ =

P(\overline{X}> 81.2)  = P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}> \frac{81.2 - 79}{\frac{18}{\sqrt{81}}})

                    =  P(Z> 1.1)

                    = 1 - P(Z<   1.1)

                    = 1 - .8643 =

                    = 0.1357

(c) What is Upper P (\overline{X} less than or equals 74.4 ) =

P(\overline{X}\leq  74.4) = P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq  \frac{74.4- 79}{\frac{18}{\sqrt{81}}})

                    = P(Z\leq  -2.3)

                    = .0107

​(d) What is Upper P (77.6 less than \overline{X} less than 83.2 ) =

P(77.6< \overline{X}<   83.2) = P(\frac{77.6- 79}{\frac{18}{\sqrt{81}}})< P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq  \frac{83.2- 79}{\frac{18}{\sqrt{81}}})

                                = P(- 0.7< Z<   2.1)

                                 = (Z<   2.1) - (Z<   -0.7)

                                  = 0.9821 - .2420

                                   = 0.7401

3 0
3 years ago
Simplify the expression(2x²y)^3
raketka [301]

Answer:

8x^6y^3

Step-by-step explanation:

(2x2y)3

=8x6y3

3 0
3 years ago
Problem 2.9 a runner completes the 200-meter dash with a time of 20.19 seconds. part a what was the runner's average speed in me
Elina [12.6K]

Answer:

Average speed = 9.91 m/s

Explanation :

Total distance covered by a runner = 200 m

Time taken to complete this distance = 20.19 sec

We need to find the average of runner speed in meter/sec

We use the speed,  distance, time formula

speed = \frac{distance}{time}

speed = \frac{200}{20.19}

Average speed = 9.91 m/s

that's the final answer.

I hope it will help you.



8 0
3 years ago
Question 7 of 10
sergejj [24]

The product that is  undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.

<h3>What is the matrix about?</h3>

Looking at the product of matrix, note that to multiply  the two matrix, the column of the first matrix needs to have the same or equal to the row of the 2nd matrix.

And in this case (propensity), it is not satisfied by the first  option because:

C =  3 x 1  and

O= 2 x 1  matrix

In this case CD is therefore undefined.

So we can say that The product that is  undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.

Learn more about matrix from

brainly.com/question/94574

#SPJ1

6 0
1 year ago
7.3-11 + 10 - (5 x 23)<br> simplify
musickatia [10]

Answer:

I

Step-by-step explanation:

I

5 0
3 years ago
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