Fill in the blank: A student earned a grade of 80% on a math test that had 20 problems. The student answered ______ questions correctly on the math test. (Write the number only.) *

Answer:

I hope it will help you...

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]

See more about statistics at : brainly.com/question/7412334

Answer:

14

Step-by-step explanation:

If he has a total of 24

and he just purchased 10

24-10= 14

Answer:

x=2/15

Step-by-step explanation:

1/5+x+2/3=1

3/15+x+10/15=15/15

13/15+x=15/15

x=2/15

Answer:

the answer to your question

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:

I didn’t really encounter any difficulty in determining a polynomial. The issue was that numbers with negative exponents or those which had square roots in them aren’t referred to as polynomials.

The only minor issue was solving problems with numbers which had different exponents in them and needed some form of simplification.

Answer:

44

Step-by-step explanation:

Remember that "of" in math means the same as multiplication.

2/5 * 110 = 44

Answer:

44

Step-by-step explanation:

2/5×110

of in mathmatics means multiplication

Therefore, the answer is 44

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 }.

Learn more about functions here:

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#SPJ4

Answer:

looks delicious

Step-by-step explanation:

Answer:

Man looks so good!

Step-by-step explanation:

Send me some in the mail. lol ☺☻♥

Answer:

A positive 11

Step-by-step explanation:

11 is your answer

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:

The answer is 3 cups of orange juice.

Step-by-step explanation:

So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.

Answer:3

Step-by-step explanation:

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:

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:

A. -80

B. 60

C. 98

D. -54

Step-by-step explanation:

ez give brainliest pls

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:

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:

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.

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

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:

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:

- 12 /13

Step-by-step explanation:

Given that:

Cot(θ) = 5 /12 ;

Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ

Hence ;

tan θ = 1 / cot θ

tan θ = 1 ÷ (5 / 12)

tan θ = 1 * 12 /5 = 12/5

Tan θ = opposite / Adjacent = 12 /5

Sin θ = opposite / hypotenus

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √12² + 5²

Hypotenus = √(144 + 25)

Hypotenus = √169

Hypotenus = 13

Hence,

Sin θ = opposite / hypotenus = 12 / 13

pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;

Sin θ = - 12 /13

Answer:

A

Step-by-step explanation:

Ed2021

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:

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:

12

Step-by-step explanation:

X x Y =20 So 12 Then 12 - 12 + 12 = 12

The correct answer is C plane HJG