For its study, 195 randomly selected Southerners were surveyed and found to watch a mean of 4.5 hours of sports per week. In the North, 148 randomly selected people were surveyed and found to watch a mean of 4.7 hours of sports per week. Find a 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions if the South has a population standard deviation of 1.5 hours per week and the North has a population standard deviation of 1.7 hours per week.

Answers

Answer 1

Answer:

The 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions is = [ CI [-0.254, 0.654].

Step-by-step explanation:

The confidence interval for the true difference between the mean formula is given as:

μ1 - μ2 ± z × √(σ²1/n1 + σ²2/b2)

μ1 = Mean 1 = 4.5 hours

μ2 = Mean 2 = 4.7 hours

z = z score for 99% confidence interval = 2.576

σ1 = Standard deviation 1(South) = 1.5 hours

σ2 = Standard deviation 2(North) = 1.7 hours

n1 = number of samples 1 = 195

n2 = number of samples 2 = 148

Confidence Interval

= 4.5 - 4.7 ± 2.576 × √1.5²/195 + 1.7²/148

= 0.2 ± 2.576 × √0.0115384615 + 0.019527027

= 0.2 ± 2.576 × √0.0310954885

=0.2 ± 0.4542495969

Confidence Interval

= 0.2 - 0.4542495969

- 0.2542495969

= -0.254

Approximately = -0.654

= 0.2 + 0.4542495969

= 0.6542495969

Approximately = 0.654

Hence, The 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions is = CI [-0.254, 0.654].]


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Answer:

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Answers

Answer:

ACB = 72

Step-by-step explanation:

OAD is straight line.

∠DAB +  ∠OAB  = 180

142 + ∠OAB  = 180

          ∠OAB = 180 - 142

          ∠OAB =  38

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∠OAB + ∠OBA + ∠AOB = 180   {Anlge sum property of triangle}

   38 + 38 + ∠AOB = 180

               76 + ∠AOB = 180

                       ∠AOB = 180 - 76

                       ∠AOB = 104

THe angle subtended by an arc of a circle at the center is double the angle subtended by it at any point on the remaining part of the circle

∠AOB =  2*∠ACB

∠ACB = ∠AOB/2

         = 104/2

ACB = 72

The freshmen class is going on a field trip. There are 316 people going.
Six people will be traveling by car and there are five buses. How many
people must ride on each bus?
Need help for the equation

Answers

The equation would be 6x+5y=316. X represents the car travelers and the y represents the bus travelers


I am a two digit prime numberThe number 5 less than me is a multiple of 11.
Which number am I?

Answers

Answer:

17

Step-by-step explanation:

22 is a multiple of 11 and 22-5 is 17

You could be 28 because 33 is a multiple of 11 and 33 - 5 is 28!!!

Find the area of quadrilateral ABCD and RST.

Answers

Answer:

ABCD is 6 units 2×3=6

im not really sure about RST but i think it would be 4 or 5 units because it just looks like there is about that many inside.

We can see here that the area of quadrilateral ABCD = 12 units².

While the area for triangle RST = 5 units².

What is quadrilateral ?

A quadrilateral is a polygon with four sides, four vertices, and four angles. The word "quadrilateral" is derived from the Latin words "quadri" (meaning "four") and "latus" (meaning "side"). Quadrilaterals are classified based on the lengths of their sides, the measures of their angles, and other specific properties.

Area of the parallelogram ABCD = B × H = 3 units × 4 units = 12 units².

Area of the triangle RST = 1/2bh = 1/2 × 5 units × 2 units = 1/2 × 10 units = 10/2 units = 5 units².

Learn more about quadrilateral on https://brainly.com/question/23935806

#SPJ2

Color of socks
Number of socks
white
9
black
2
blue
5
brown
8
9
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Select two latios equivalent to the ratio of white socks to brown socks.
45
27
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B
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45
24
28
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Answers

Answer:

45:40

27:24

Step-by-step explanation:

45:40 c=5

27:24 c=3

I NEED HELP ASAP THANKSSS

factor x^2 +9x+20

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Answer:

(x + 5)(x + 4)

Step-by-step explanation:

[tex]x^{2} +9x+20=(x+5)(x+4)[/tex]

Answer:

Step-by-step explanation:

x^2+9x+20

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list a few factors of 24?

Answers

Answer:

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Step-by-step explanation:

solve for x 2(3x-2)-4x+1=9 linear equations with disbribution

Answers

Answer:

x=-2/3,2

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

2 (3x - 2) - 4x + 1 = 9

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6x - 4 - 4x + 1 = 9

Combine like terms

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Answer:

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Step-by-step explanation:

Hans is sitting in a movie theater, 19 meters from the screen. The angle of elevation from his line of sight to the top of the screen is 15°, and the angle of depression from his line of sight to the bottom of the screen is 22°. Find the height of the entire screen. Do not round any intermediate computations. Round your answer to the nearest tenth.

Answers

Answer:

12.8 m

Step-by-step explanation:

From the diagram :

Height PR = 19m

Using Pythagoras :

From triangle PQR:

QR = x

Tan θ = opposite / Adjacent

Tan 22° = x / 19

x = tan 22° * 19

x = 0.4040262 * 19

x = 7.6764982 m

From triangle PRS:

SR = y

Tan θ = opposite / Adjacent

Tan 15° = y / 19

y = tan 15° * 19

y = 0.2679491 * 19

y = 5.0910346

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(7.6764982 + 5.0910346) m

= 12.7675328 m

= 12.8 m

The table below represents a linear function f(x) and the equation represents a function g(x):

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answers

Answer:

Slope of f(x) is greater than slope of g(x)

g(x) has a greater y intercept

Step-by-step explanation:

Given

f(x) table

[tex]g(x) = 2x + 6[/tex]

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First, we determine the slope of f(x).

From the table, we take any two corresponding values of x and f(x).

Represent f(x) with y

[tex](x_1,y_1) = (-1.-12)[/tex]

[tex](x_2,y_2) = (0.-6)[/tex]

The slope (m) is calculated as thus

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-6 - (-12)}{0 - (-1)}[/tex]

[tex]m = \frac{-6 +12}{0 +1}[/tex]

[tex]m = \frac{6}{1}[/tex]

[tex]m = 6[/tex]

Represent this with m1

[tex]m_1 = 6[/tex]

Calculating the slope of g(x).

The general form of an equation is [tex]y = mx + b[/tex]

Where m represents the slope.

We have that:

[tex]g(x) = 2x + 6[/tex]

By comparing  [tex]g(x) = 2x + 6[/tex] with [tex]y = mx + b[/tex]

[tex]m = 2[/tex]

Represent this with m2

[tex]m_2 = 2[/tex]

Comparing both slope, we can say that:

f(x) has a greater than slope of g(x)

Another comparison is that:

Slope of f(x) is 3 times the slope of g(x)

Solving (b): Function with greater y intercept.

The general form of an equation is [tex]y = mx + b[/tex]

Where b represents the y intercept.

First, we need to determine the equation of f(x) using:

[tex]y - y_1 = m(x - x_1)[/tex]

Recall that, from the table of f(x):

[tex](x_1,y_1) = (-1.-12)[/tex]

[tex](x_2,y_2) = (0.-6)[/tex]

[tex]m_1 = 6[/tex]

So:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - (-12) = 6(x - (-1))[/tex]

[tex]y + 12 = 6(x +1)[/tex]

[tex]y + 12 = 6x +6[/tex]

Solve for y

[tex]y = 6x + 6 - 12[/tex]

[tex]y = 6x - 6[/tex]

By comparing this with [tex]y = mx + b[/tex], the y intercept of f(x) is -6

For g(x), we have:

[tex]g(x) = 2x + 6[/tex]

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Comparing the y intercepts of both functions, g(x) has a greater y intercept because [tex]6 > -6[/tex]

a = -5 b= 7
-2b + a

( Worth 10 points)

Answers

The answer is -19....

Answer:

-19

Step-by-step explanation:

so you are just going to substitute in -5 for a and 7 for b.

-2(7)+ (-5)

Mari and Rob are making a poster for the science fair. They need to figure out how much a rock that weighs 7 pounds on Earth would weigh on Mars. They know that they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars. Circle the partial products Mari and Rob would need to add to find the product of 7 and 0.38. Mark all that apply. Which problems will have two decimal places in the product? Mark all that apply.

Answers

Answer: a big rock

Step-by-step explanation: i am just dumb and lazy

Suppose you deposit $3,000 in a savings account that pays 3.5% interest compounded quarterly. If no other money is added or withdrawn from the account, how much will be in the account after 5 years?​

Answers

Answer:

$3,080

I Don't know how to deal with money.

PLEASE MARK BRAINLIEST

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Answers

3/50=0.06, not 0.006, so i i believe it’s a, he moved the decimal 3 places instead of 2

In ANOP, NO – PN and mZN = 140°. Find mZP. Please help me!

Answers

Answer:

20°

Step-by-step explanation:

If m∠N = 140° and NO = PN , then m∠O = m∠P = (180° - 140°) / 2 = 20°

What is the slope of any line that is perpendicular to the line that contains the points (8, 8) and (12, 12)?

Answers

Answer:

slope(m)=-1

Step-by-step explanation:

let the point (8,8) and (12,12) be ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2} , y_{2}[/tex])

slope of point([tex]m_{1}[/tex])=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

                             =(12-8)/(12-8)

                            =1

let the slope of perpendicular line to given point be [tex]m_{2}[/tex]

now ,

    [tex]m_{1} m_{2}[/tex]=-1

  so [tex]m_{2}[/tex]=-1

As you can see I NEED HELP!

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-14 is right after -15

-3 is the 3rd point left of 0

-8 is the 8th point left of 0


Which ordered pair(s) are solutions to the function f(x) = 6x-4

Answers

Answer:

(Look at comments)

Answer:

jnkj

Step-by-step explanation:

lisa purchased almonds for 3.50 per round. she spent a total of 24.50, how many pounds of almonds did she purchase?

Answers

Answer:

7 pounds

Step-by-step explanation:

In order to find the answer to this question add the cost of a pound worth of almonds to the total amount of money she spent altogether in till you cannot add anymore.

[tex]3.50+3.50=7.00[/tex]

[tex]7.00+3.50=10.50[/tex]

[tex]10.50+3.50=14.00[/tex]

[tex]14.00+3.50=17.50[/tex]

[tex]17.50+3.50=21.00[/tex]

[tex]21.00+3.50=24.50[/tex]

=[tex]7lb[/tex]

Check work:

[tex]3.50\times7=24.50[/tex]

Hope this helps

Answer:

Step-by-step explanation:

3.50 per pound

Let each pound represent x

Total of almonds bought is 24.50

therefore 3.50x = 24.50

x = 24.50 ÷3.50

x= 7

Help plz. I’ve been stuck for almost a hour

Answers

Answer: x=10 and y=25

Step-by-step explanation:

ok, so since we know straight angles=180 degrees, so since one part=100, the other smaller angle=80. This means that 11x-30=80 and 5y-25=100. 11*10=110, and 110-30=80, so x=10. 5*25=125, and 125-25=100, so y=25. And lol. me too. When I used to do these problems, I was stuck for a very, very long time. Just try to use logic most of the time.

Answer:

y = 25 and x = 10

Step-by-step explanation:

the angles on top and on bottom are equal so...

5y - 25 = 100

5y - 25 + 25 = 100 + 25

5y = 125

5y/5 = 125/5

y = 25

Every line is 180 degrees so we know that if the top and bottom angles are 100 then the other angles need to equal 80

11x - 30 = 80

11x - 30 + 30  = 80 + 30

11x = 110

11x/11 = 110/11

x = 10

Josiah buys a video game for $20 plus a 6% tax. Elliot buys a basketball for $18 plus a 6% tax. Enter the difference in the amount Josiah and Elliot paid, including tax. Round your answer to the nearest cent.

Answers

Josiah payed $2.12 more than Elliot
Josiah payed $21.20
Eliot payed $19.08
6% of 20= $1.20
6% of 18= $1.08

What is the area of a right triangle that measure 8” high and has a 4” base?

Answers

Answer:

the answer is 16 im pretty sure

Step-by-step explanation: hope this helps :)

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