Find an equation of the line having the given slope and containing the given point.

aleksandrvk [35]

Hey!!!

<a and <b are complementary angles.

Those angles which are exactly 90 degree are called complementary angles.

hope it helps..

7 0

3 years ago

(7x18+45) divided by 3x2

satela [25.4K]

Answer:

114

Step-by-step explanation:

hope this helps!

5 0

2 years ago

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:

1

The alternative hypothesis $H_a : \mu < 15.9$

2

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

3 years ago

A box of 25 light bulbs is shipped to a hardware store.when it arrives,four of the bulbs are broken.predict the number of broken

anyanavicka [17]

First you need to divide 125 / 25 which is 5 then you do subtraction 21 x 5 which is 105, then you subtract again 125 - 105 which is 20, 20 light bulbs will be broken. Or you could have just multiplied 5 by 4 which is the amount of light bulbs that were broken which is a lot easier...

3 0

3 years ago

According to the graph, how much money is spent on education?

Nadya [2.5K]

Answer:

16 million

Step-by-step explanation:

The United States spends an average $15,908 per pupil on postsecondary education and $33,063 per pupil on graduate and postgraduate education. The nation's gross domestic product (GDP) grows 71.6% faster than public education spending.

5 0

2 years ago

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