The line with equation y + 2x = 0 coincides with the terminal side of an angle θ in standard position in Quadrant IV .

Nine students took the SAT. Their scores are listed below. Later on, they read a book on test preparation and retook the SAT. Th

SCORPION-xisa [38]

Answer:

t= 0.4933

t ≥ t ( 0.025 ,8 ) = 2.306

Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: ud= 0 Ha: ud≠0

The significance level is set at ∝= 0.05

The test statistic under H0 is

t= d`/ sd/√n

which has t distribution with n-1 degrees of freedom

The critical region is t ≥ t ( 0.025 ,8 ) = 2.306

Computations

Student Scores before Scores after Difference d²

reading book ( after minus before)

1 720 740 20 400

2 860 860 0 0

3 850 840 -10 100

4 880 920 40 1600

5 860 890 30 900

6 710 720 10 100

7 850 840 -10 100

8 1200 1240 40 1600

9 950 970 20 40

∑ 6930 8020 140 4840

d`= ∑d/n= 140/9= 15.566

sd²= 1/8( 4840- 140²/9) = 1/8 (4840 - 2177.778) = 2662.22/8= 332.775

sd= 18.2422

t= 3/ 18.2422/ √9

t= 0.4933

Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.

7 0

3 years ago

Help math question 7 and 8

wel

Answer:

for #7, i think the degrees are both 56

Step-by-step explanation:

another good way to check is slader.com

you enter you math book and it has an explanation with the answer

5 0

3 years ago

A stadium has 55,000 seats. Seats sell for $42 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Sect

UkoKoshka [18]

Answer:

Section A = 27,500 seats

Section B = 14,800 seats

Section C = 12,700 seats

Step-by-step explanation:

Section A = $42

Section B = $24

Section C = $18

Revenue = $1,738,800

Total number of seats = 55,000

The number of seats in Section A equals the total number of seats in Sections B and C

A = B + C

A + B + C = 55,000

42A + 24B + 18C = $1,738,800

Substitute A = B + C into the equations

B + C + B + C = 55,000

42(B + C) + 24B + 18C = $1,738,800

2B + 2C = 55,000

42B + 42C + 24B + 18C = 1,738,800

2B + 2C = 55,000

66B + 60C = 1,738,800

Multiply (1) by 30

60B + 60C = 1,650,000. (1)

66B + 60C = 1,738,800. (2)

Subtract (1) from (2)

66B - 60B = 1,738,800 - 1,650,000

6B = 88,800

B = 88,800/6

= 14,800

B = 14,800

Substitute the value of B into

2B + 2C = 55,000

2(14,800) + 2C = 55,000

29,600 + 2C = 55,000

2C = 55,000 - 29,600

2C = 25,400

C = 25,400/2

= 12,700

C = 12,700

Substitute the values of B and 6 into

A + B + C = 55,000

A + 14,800 + 12,700 = 55,000

A + 27,500 = 55,000

A = 55,000 - 27,500

= 27,500

A = 27,500

Section A = 27,500 seats

Section B = 14,800 seats

Section C = 12,700 seats

3 0

3 years ago

Read 2 more answers

Set E = { three-digit numbers divisible by 8 } Find n(E) = ? ( don't mind the nos. 3 )

Julli [10]

624 is divided by 8. Hope this helps.

4 0

3 years ago

Read 2 more answers

What is true of the type of angle in this lesson? It measures half the sum of the arc it intercepts. It measures twice the sum o

Karolina [17]

Answer:

Step-by-step explanation:

Answer: it is C because it is true of the type of angle in this lessonc. It measures half the difference of the arcs it intercepts.

7 0

3 years ago