What is the equation for this line ?

Answer:

A) α = 0.04136

B) β = 0.00256

Step-by-step explanation:

We are given;

Sample size; n = 400

Proportion; p = 60% = 0.6

Formula for mean is;

μ = np

μ = 400 × 0.6 = 240

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.6 = 0.4

σ = √(400 × 0.6 × 0.4)

σ = √96

σ = 9.8

A) our null hypothesis is at p = 0.6

Probability of making a type I error means we reject the null hypothesis when it is true.

This can be expressed in reference to the question as;

α = P(x < 220) + P(x > 260) all at p = 0.6

Now,

P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04

Also;

P(x > 260) = z = (260 - 240)/9.8 = 2.04

Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.

Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068

Thus;

α = 0.02068 + 0.02068

α = 0.04136

B) Type II error occurs when we fail to reject the null hypothesis even though it's false.

In this case our alternative hypothesis is at p = 48% = 0.48

Thus;

μ = np

μ = 400 × 0.48 = 192

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.48 = 0.52

σ = √(400 × 0.48 × 0.52)

σ = √99.84

σ = 9.992

Type II error would be given by;

β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]

β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]

β = (2.8 < z > 6.81)

Rearranging this gives us;

β = P(z < 6.81) - P(z < 2.8)

From z-distribution tables, we have;

β = 1 - 0.99744

β = 0.00256

In this exercise, we have to calculate the gasoline rates, and the answer will be:

A)[tex]\alpha= 0.04136[/tex]

B)[tex]\beta= 0.00256[/tex]

We are given that the sample size; n = 400, proportion; p = 60% = 0.6 so the formula for mean is;

[tex]\mu= np\\\mu=(400)(0.6)= 240[/tex]

Standard deviation is given by;

[tex]\sigma= \sqrt{npq}[/tex]

Where:

[tex]q = 1 \\p= 0.6\\q-p=0.4[/tex]

[tex]\sigma= \sqrt{(400)(0.6)(0.4)} \\=\sqrt{96} = 9.8[/tex]

A)Our null hypothesis is at p = 0.6. Probability of making a type I error means we reject the null hypothesis when it is true. This can be expressed in reference to the question as:

[tex]\alpha= P(x<220)+P(x>260)[/tex]

Now,

[tex]P(x < 220) = z = (x^-- \mu)/\sigma = (220 - 240)/9.8 = -2.04\\P(x > 260) = z = (260 - 240)/9.8 = 2.04[/tex]

Now, from z-distribution table probability of a z-score of -2.04 is 0.02068. Also, probability of z-score of 2.04 is:

[tex](1 - P(z < 2.04) = 1 - 0.97932 = 0.02068[/tex]

Thus;

[tex]\alpha= 0.02068+0.02068\\\alpha= 0.04136[/tex]

B) Type II error occurs when we fail to reject the null hypothesis even though it's false. In this case our alternative hypothesis is at p = 48% = 0.48. Thus:

[tex]\mu= np\\\mu= (400)(0.48)=192[/tex]

Standard deviation is given by;

[tex]\sigma= \sqrt{npq} \\=\sqrt{(400)(0.48)(0.52)} = 9.992[/tex]

Type II error would be given by:

[tex]\beta= [((x^{-1} - \mu)/\sigma) < z > ((x^{-2} - \mu)/\sigma)]\\= [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]\\= \beta = (2.8 < z > 6.81)\\[/tex]

Rearranging this gives us:

[tex]\beta = P(z < 6.81) - P(z < 2.8)\\= 0.00256[/tex]

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Answer:

I would say the last one

Step-by-step explanation:

The third works the same way but 46/17 is hard to calculate without a calculator

Answer:

A) 16/40

B) P(H)= 0.4

Step-by-step explanation:

A) 16+24=40 is your denominator.

16 times it landed heads up, so  16/40

B) 16/40 as decimal (16 divided by 40) = 0.4

P= probability

(h)= (Heads up)

Answer:

R:{-1,14,26}

Step-by-step explanation:

The domain of a function is all the x-values of the function. The range of a function is all the y-values of the function. Therefore, we must plug in every x-value in the function to get our outputs to create our range:

Given: y=3x+14

When x=-5:

y=3(-5)+14

y=-15+14

y=-1 (this is the first point of the range)

When x=0:

y=3(0)+14

y=0+14

y=14 (this is the second point of the range)

When x=4:

y=3(4)+14

y=12+14

y=26 (this is the last point of the range)

Therefore, our range is R:{-1,14,26}

The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is

{ -1, 14, 26 }.

We have,

To find the range for the given domain of {-5, 0, 4} in the equation

y = 3x + 14, we substitute each value of the domain into the equation and determine the corresponding range values.

When x = -5:

y = 3(-5) + 14

y = -15 + 14

y = -1

When x = 0:

y = 3(0) + 14

y = 0 + 14

y = 14

When x = 4:

y = 3(4) + 14

y = 12 + 14

y = 26

Therefore,

The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is

{ -1, 14, 26 }.

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Answer:

Total gallons= 597,420

Step-by-step explanation:

Giving the following information:

Pump A dispensed 241,752 gallons.

Pump B dispensed 113,916 more gallons than Pump A.

First, we will calculate the number of gallons dispensed by Pump B:

Pump B= Pumb A + 113,916

Pump B= 241,752 + 113,916

Pump B= 355,668 gallons

Now, in total:

Total gallons= 241,752 + 355,668

Total gallons= 597,420

Answer:

25

Step-by-step explanation:

so lets write our ratios.

Students that wear glasses to the whole class:

2 : 5

Students that wear glasses to those that dont:

2 : 3

And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be

10 : 15

10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.

Answer

7 or 5 or both

Step-by-step explanation:

so first, you know it has to be 7 or 5 because all the other numbers are already on the chart and it M was that then you would get the same output value. now you figure out the equation. thats all I can help you with because I am dumb but hope you can figure out the equation.

Answer:

x=−37/2 y+9

Step-by-step explanation:

2x+37y=18

2x+37y+−37y=18+−37y

2x=−37y+18

2x2=−37y+18/2

x=−37/2 y+9

Answer:

10 bins needed approximately

Step-by-step explanation:

Total door knobs = 183

Round door knobs = 95

Square door knobs = x

Total door knobs = Round door knobs + Square door knobs

183 = 95 + x

183 - 95 = x

88 = x

Square door knobs = x = 88

If he wants to place 9 square doorknobs in each bin, about how many bins would he need?

Divide total square knobs by square knobs in each bin

Total bins needed = Total square knobs / knobs in each bin

= 88 / 9

= 9.78

Approximately 10 to the nearest number of bins

Bins needed is approximately 10

Answer:

x = 2

Step-by-step explanation:

I assumed that you wanted me to set them equal to each other, so that is what I did. I wasn't given any other number to go by so hopefully this is correct.

Step-by-step explanation:

1) rate = ( 1484 - 1708) ÷ ( 11 - 7) = - 56 m/ s

2) rate × 13 = - 56 × 13 = - 728 m per 13 s

3) rate = - 56

t = 24 s

d = - 56 × 24 = 1344 m

whole distance = 2100

7 × 56 = 392

and he flay till 1708 then whole distance = 392 + 1708

so the remaining distance between him and her

2100 - 1344 = 756 m

Answer:

A. -80

B. 60

C. 98

D. -54

Step-by-step explanation:

ez give brainliest pls

Answer:

1.8

2.16

3.-7

5.-702

I didn't understand the 4th one

Answer:

1) 8

2) 16

3) -7

4) 14

5) 243

Step-by-step explanation:

For number 4 i just assumed you meant 6 + 3 + 2 + 3

Answer:

Option C. is correct

Step-by-step explanation:

Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

Please note the slope measures the ratio of the change in y to the change in x.

The points of the graph are A=(-3,-2) B=(7,4). Calculating the slope:

[tex]\displaystyle m=\frac{4-(-2)}{7-(-3)}[/tex]

[tex]\displaystyle m=\frac{6}{10}[/tex]

Simplifying by 2:

[tex]\displaystyle m=\frac{3}{5}[/tex]

Option C. is correct

Answer:

[tex]x = - \frac{7}{3} [/tex]

step by step:

3x+5=-2

move constant to the right-hand side and change it's sign

3x=-2-5

Calculate the difference

3x=-7

Divided both sides of the equation by 3

Answer:

I hope it will help you...

Answer:

24

Step-by-step explanation:

if 6 exhibits are 25% of the entire zoo. You would need four times that amount to get the total number of exhibits because 25% × 4 = 100%. So, if you multiply 6 × 4 the total number of exhibits would be 24.

Answer:

Assuming it is a constant function.

[tex]f(x)=0x-2[/tex]

Step-by-step explanation:

(5,-2)

(-6,-2)

(3,-2)

(4,-2)

From the points, we can see that for any value of [tex]x[/tex], the function will give -2. The graph of this function will be a horizontal line, parallel to the [tex]x[/tex]-line passing the y-intersect point -2.

So the function might be

[tex]f(x)=0x-2[/tex]

If it is a constant function.

I'm considering that there are no discontinuities.

Answer:

Domain: x>=-6

Range: y=-2

Step-by-step explanation:

I think this is the one but I’m not entirely sure

Answer:

bruh

Step-by-step explanation:

42

Answer:

0.02044989775

Step-by-step explanation:

Answer:

Point-slope form: y + 5 = 13/-4 (x-1)

Slope-intercept form:

Step-by-step explanation:

Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).

Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.

Hope that helped.

Answer:true

Step-by-step explanation: An order to a bank to pay a stated sum from the drawer's account, written on a specially printed form.

Answer:

9 quarts of blue paint

Step-by-step explanation:

the ration is 3:2

2 times 3 is 6, so multiply the 3 from the blue paint to 3 as well

Answer:

looks delicious

Step-by-step explanation:

Answer:

Man looks so good!

Step-by-step explanation:

Send me some in the mail. lol ☺☻♥

Answer:

The correct answer is B because you had less when the friend did not give you the money. Therefore before you had 3.50-1.65

Step-by-step explanation:

Answer:

1. $97,265

2. $17,865

Step-by-step explanation:

Step one:

given data

cost of the house=  $397,000.

we are told that the commission is 4.5% real estate agency

and also the agent commission is 20%

Step two:

1.  How much did the agency make on the house?

this amount is 20% plus  4.5% together.

=20/100*397,000 +4.5/100*397,000

=0.2*397,000. +0.045*397,000.

=79400+17865

=97,265

The agent made a total of $97,265 on the house

2. How much did the agent earn in commission?

in commission, the rate is 4.5% which amounts to $17,865