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2 years ago

If line M is parallel to line N, which angle is supplementary with 1?

Mathematics

2 answers:

stira [4]2 years ago

5 0

Answer:

https://app.edmentum.com/assessments-delivery/testingImages//geometry/945789030-35047.gif

Step-by-step explanation:

gayaneshka [121]2 years ago

4 0

Can you upload a picture lol ???

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According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next j

Ahat [919]

Complete Question

According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks with a sample standard deviation of the time unemployed is 6.7 weeks.

1 Which of the following statements is the correct alternative hypothesis?

2 The test statistic for testing the hypothesis is

a. -2.64

b. -2.32

c. -2.11

d. -1.28

e. none of these are correct

Answer:

The alternative hypothesis $H_a : \mu < 15.9$

The test statistics $z = -2.64$

Step-by-step explanation:

From the question we are told that

The population mean value for time citizens remain unemployed is $\mu = 15.9 \ weeks$

The sample size is n = 50

The sample standard deviation is 6.7 weeks.

The sample mean value for time citizens remain unemployed is $\mu = 15.9 \ weeks$

The null hypothesis is $H_o : \mu \ge 15.9$

The alternative hypothesis $H_a : \mu < 15.9$

Generally test statistics is mathematically represented as

$z = \frac{ \= x - \mu }{ \frac{s}{\sqrt{n} } }$

=> $z = \frac{13.4 - 15.9}{\frac{6.7}{\sqrt{50}}}$

=> $z = -2.64$

7 0

2 years ago

An exceptionally bright high school student has applied for two scholarships: a merit scholarship and an athletic scholarship. H

9966 [12]

Answer:

a) 0.70

b) 0.82

Step-by-step explanation:

Let M be the event that student get merit scholarship and A be the event that student get athletic scholarship.

P(M)=0.3

P(A)=0.6

P(M∩A)=0.08

P(not getting merit scholarships)=P(M')=?

P(not getting merit scholarships)=1-P(M)

P(not getting merit scholarships)=1-0.3

P(not getting merit scholarships)=0.7

The probability that student not get the merit scholarship is 70%.

P(getting at least one of two scholarships)=P(M or A)=P(M∪A)

P(getting at least one of two scholarships)=P(M)+P(A)-P(M∩A)

P(getting at least one of two scholarships)=0.3+0.6-0.08

P(getting at least one of two scholarships)=0.9-0.08

P(getting at least one of two scholarships)=0.82

The probability that student gets at least one of two scholarships is 82%.

4 0

2 years ago

What is the experamental probability that the coin lands on heads?

sammy [17]

Answer:

The experamental probability that the coin lands on head is 50 %

Step-by-step explanation:

Given:

Experiment:

A coin is Toss

Let the Sample Space be 'S' that is total number of outcomes for a coin has been tossed = { Head, Tail }

∴ n ( S ) = 2

Let A be the event of getting a Head on tossing a coin i.e { Head }

∴ n( A ) = 1

Now,

$\textrm{Probability} =\frac{\textrm{outcomes for the experiment}}{\textrm{total number of outcomes}}$

Substituting the values we get

$P(A) = \frac{n(A)}{n(S)} \\\\P(A) = \frac{1}{2} \\\\P(A) = 0.5\\\\P(A) = 50\%$

The experamental probability that the coin lands on head is 50 %

5 0

2 years ago

How many square feet of outdoor carpet will

anastassius [24]

Answer:

Step-by-step explanation:

24+12

4 0

2 years ago

Read 2 more answers

In the figure below, triangle JKL is isosceles, with JK = LK, and triangle LMN is equilateral. K M M N L Note: picture not drawn

Musya8 [376]

Answer: 56

Step-by-step explanation:

6 0

2 years ago