Assume your friend just took an exam made up of 20 true/false questions. further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question what is the probability your friend will pass the exam?

Answers

Answer 1

Answer:

10/20 or 1/2 it is 50% chance that she pass and 50% that she fail

Step-by-step explanation:

Answer 2

The probability of your friend passing the exam by pure guessing is 0.176 or about 17.6%.

The probability of guessing correctly on any individual question is 0.5 (50%).

If the passing grade is, for example, getting at least 50% of the questions correct, your friend needs to get 10 or more questions correct.

The probability of guessing correctly on exactly k questions out of 20 is given by the binomial probability formula:

[tex]P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)[/tex]

For k = 10 (minimum number of correct answers to pass):

[tex]P(X = 10) = ^{20}C_{10} * (0.5)^{10} * (1 - 0.5)^{(20 - 10)[/tex]

P(X = 10) = 0.176197052

So, the probability is 0.176 or about 17.6%.

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Related Questions

Two angles of a quadrilateral measure 125° and 35°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answers

Answer:

120° and 80°

Step-by-step explanation:

quadrilateral = 360°

125° + 35° = 160°

360° - 160° = 200°

3/5 of 200° = 120°

200° - 120° = 80°

Answer:

Step-by-step explanation:

Finding the missing angles of quadrilateral:

Ratio of other two angles = 3 : 5

Other two angles are 3x , 5x

Sum of all angles of quadrilateral = 360

125 + 35 + 3x + 5x = 360

Combine like terms

          160 +  8x  = 360

Subtract 160 from both sides

                     8x  = 360 - 160

                     8x = 200

Divide both sides by 8 to isolate x

                       x = 200/8

                        x = 25

5x = 5*25 = 125

3x = 3*25 = 75

The other two angles are 125° , 75°

determine the oreadred pair for (-10,3) whenitn it has been reflected over the y-axis

Answers

Answer:

I determined it's cherry pie because the typical slice size allows 10 slices and that is enough for 10 people to enjoy it's goodness quite amazing

) What is the slope and y-intercept of this line?

y = –4x + 7



Question 8 options:

slope: 4, y-intercept: –7


slope: –4, y-intercept: 7


slope: 7, y-intercept: –4


slope: -7, y-intercept: -4

Answers

Answer:

slope: -4 y intercept 7

Step-by-step explanation:

when using the formula y=mx+b

The slope is the fraction for m -4/1 or -4.

The y intercept is 7 and thats where the graoh starts.

Answer: slope: -4, y-intercept: 7

Step-by-step explanation: I just took the test :)

Select the THREE expressions that are equivalent to 6x+ 1 - (3x - 1)

Answers

Se

please elaborate 9638x
3x + 26x + 1 + -3x - -16x + -3x + 1 + 1

She can choose from 7 pairs of pants, 6 t-shirts, 7 sweaters or hoodies, and 2 pairs of shoes. How many different outfits does Kaylee have to choose from?

Answers

Answer:

So, there are seven choices, etc, so the equation is

7x6x7x2

because there are multiple ways

so, 588

help?
Alyssa is getting gas for her car. Her car’s 15-gallon tank has 1/5 a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?

Answers

Answer:

$32.39

Step-by-step explanation:

She has a 15-gallon tank and it has 1/5 a tank of gas left (so about 3/15)

Because she needs to refill it and already has 1/5, she'll only need to pay for 4/5 a tank of gas (12/15).

So the equation should be 12 times $2.699.

12 × 2.699 = 32.388

Then, round to the nearest cent.

32.388 = $32.39

Hope this helped !

If m(arc RU) = (16x – 13)° , m(arc SU) = (11x – 24)°, and m∠STU = (3x + 1)°, find m(arc SU).​

Answers

Answer: 75 degrees

Step-by-step explanation:

The line graphed below has a slope of ____.

Answers

To find the slope, we must have two points

   --> Two points: (-3,1) and (-1, -5)

The slope's formula is -->  [tex]\frac{y2-y1}{x2-x1}[/tex]

(x1, y1) --> (-3,1)(x2, y2) --> (-1, -5)

So the slope = [tex]\frac{-5-1}{-1--3} =\frac{-6}{2} =-3[/tex]

The line graphed below has a slope of -3

Hope that helped!

please need help on = 0.35+0.6+____= 1

Answers

Answer:

0.59

Step-by-step explanation:

0.59 I think if I'm wrong correct me.

kate has a coin collection. she keeps 7 of the coins in the box, which is only 5% of her entire collection. what is the total number of coins in kate's coin collection?

Answers

Answer:

140

Step-by-step explanation:

5 percent is 5% or 5 out of 100

5 / 100 = 7 / x

Cross multiply to get

5x = 700

Divide both sides by 5

x = 140

Translate this phrase into an algebraic expression.
One less than the product of 18 and a number
Use the variable n to represent the unknown number.

Answers

one less than the 18 and a number

18 × n = (product) - 1

One less than the 18 18xn=(product)-1

Find the solutions to x2 = 12.

The answer is B~ c=+2{3}

Answers

Answer:

B

Step-by-step explanation:

x² = 12 ( take square root of both sides )

x = ± [tex]\sqrt{12}[/tex] = ± [tex]\sqrt{4(3)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] ) = ± 2[tex]\sqrt{3}[/tex]

F(x)=x^2. What is g(x)? point given (2,1)

A. g(x)= 4x^2
B. g(x)=1/4x^2
C. g(x)=(1/4x)^2
D. g(x)=1/2x^2

Answers

f(x)=x²

At x=2

f(2)=2²=4

And

g(2)=1

So the function is

g(x)=1/4f(x)g(x)=1/4x²

Find the volume of the sphere in terms of π.

A) 972 π cm3
B) 7776 π cm3
C) 36 π cm3
D) 24 π cm3

Answers

Answer:

A) 972π cm³

Step-by-step explanation:

d = 18 cm

r = d/2 = 9 cm

V = (4/3)πr³

V = (4/3)π(9 cm)³

V = (4/3)π(729 cm³)

V = 972π cm³

Sage borrowed $4500 from her parents to buy a new car. So far she has repaid $2740. If sage repays her parents $110 a month, how much time will it take her to pay back the full amount of the loan?

Answers

Answer:

16 months

Step-by-step explanation:

Hey there!

This would be the correct answer because first you need to subtract the amount she paid from the amount she owes.

[tex]4500-2740[/tex]

[tex]=1760[/tex]

After that divide that answer from 110

This is because she will be paying 110 each month

[tex]1760/110[/tex]

Once you calculate that you will get 16.

The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges $2 for the first time they service your lawn, and the price will multiply by a factor of 0. 85 every week thereafter. Green Thumbs charges $350 for the first time they service your lawn, and then charges an additional $30 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?

Answers

The cost-savings if the Yert Family chooses the cheaper company is: $450.50

How do you determine the cheaper company?

First, we determine the cost of the service of each company. Comparing that will give us an idea of the company whose service is cheaper.

Second, we subtract the lower sum from the higher. This gives us the cost savings by the Yert Family.

Step 1

Expressing the payment plan for Green Lawns, we have:

First week= $2
Second week = (2 + (2*0.85) )  = 3.7

Third week= (3.7 + (2*0.85) ) = 5.4

Using the above cumulative method, we arrive at the series of payments due per week

The series of payment are given as follows:
2 + 3.7 + 5.4+7.1+8.8+10.5+12.2+13.9+15.6+17.3+19+20.7+22.4+24.1+25.8+27.5+29.2+30.9+32.6+34.3+36.0+37.7+39.4+41.1+42.8+44.5+46.2+47.9+49.6

= $799.50

Step 2

Expressing the payment plan for Green Thumbs, we have:

350 + (30*30) = $1,250



Step 3

Hence (assuming they go for Green Lawns) the cost savings will be:

$1,250.00 - $799.50 = $450.50

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Find the distance between (−3, 8) and (4, 1). Round your answer to the nearest tenth.
In distance units.
GIVING TONS OF BRAINIEST!!

Answers

Answer:

[tex]7\sqrt{2}[/tex] to the nearest tenth would be, 9.9

Step-by-step explanation:

Use distance formula:

(-3-4)^2 + (8-1)^2 all under square root.

49 + 49

[tex]\sqrt{98\\[/tex]

Which simplifies to 7[tex]\sqrt{2\\}[/tex]

Hope this helps,

Feel free to mark this brainliest! :)

the answer is 5.099 rounded too 5.1

An account statement has a balance of 109 dollars and 75 cents. carl is balancing his checking account. after comparing the bank statement to his register, he notices an outstanding debit of $58.00. which shows the correct amount in carl’s checking account? $51.75 $109.75 $167.75 $221.87

Answers

The correct amount in carl’s checking account will be $51.75. Then the correct option is A.

What is subtraction?

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

An account statement has a balance of 109 dollars and 75 cents.

Carl is balancing his checking account.

After comparing the bank statement to his register, he notices an outstanding debit of $58.00.

Then the correct amount in carl’s checking account will be

→ 109.75 - 58 = $ 51.75

More about the subtraction link is given below.

https://brainly.com/question/4319655

Answer:

Step-by-step explanation:

a

order 130 inches, 4 yards, 10 feet from greatest to least

Answers

Answer:

Step-by-step explanation:

Before comparison can take place, these three measurements must be expressed in the same unit of measurement:

130 inches becomes 130/12 feet, or 10.83 ft;

4 yards becomes 4*3 feet, or 12 feet; qne

10 feet stays as is.  

It becomes obvious that the greatest measurement is 12 feet, followed by 10.83 feet, followed by 10 feet.

The ordered list from greatest to least is 4 yards, 130 inches, 10 feet.

What is Unit of Measurement ?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

First, we need to convert all the units to a common unit before we can compare them.

Let's convert them all to inches:

4 yards = 12 feet × 4 = 48 feet = 48× 12 inches = 576 inches

10 feet = 10 × 12 inches = 120 inches

Now we have: 130 inches, 576 inches, 120 inches

Ordering from greatest to least, we get:

576 inches, 130 inches, 120 inches

4 yards, 130 inches, 10 feet

Therefore, the ordered list from greatest to least is 4 yards, 130 inches, 10 feet.

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you leave your house and drive 7 miles north, then turn left and drive 24 miles west. how far are you from your house?

Answers

Now this question is a candidate for the Pythagorean Theorem :

According to the question (assuming that you're x miles away from your house) --

[tex]\implies{7}^{2} + {24}^{2} = {x}^{2} \\\implies625 = {x}^{2} \\\implies x = \sqrt{625} \\ \boxed{x = 25} [/tex]

(Rejecting x= - 25 because distance cannot be negative(atleast hypothetically))

Please answer this question.

Answers

Answer:

B

Step-by-step explanation:

given that x and y vary inversely then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y is 24 when x is 8 , then

24 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 to clear the fraction )

192 = k

y = [tex]\frac{192}{x}[/tex] ← equation of variation

when y = 18 , then

18 = [tex]\frac{192}{x}[/tex] ( multiply both sides by x )

18x = 192 ( divide both sides by 18 )

x = [tex]\frac{192}{18}[/tex] = [tex]\frac{32}{3}[/tex]

Answer:

Step-by-step explanation:

Write the inverse variation

y = k/x

Solve for k

y = 24

x = 8

y = k/x           Substitute the givens into this equation

24 = k/8        Multiply both sides by 8

8*24 = k

k = 192

Solve for x  when y = 18

y = k/x            Multiply both sides by x

xy = k             Divide by y

x = k/y

x = 192/18

x = 10 2/3       The answer is given as an improper fraction.

x = (10*3 + 2)/3

Answer: x = 32/3

Can someone explain how to get the answer, please? Thanks!

Answers

The mean is 10,

The median is 10,

And there is no mode.



The mean of a set of numbers is the sum divided by the number of terms,

7+15+12+6+10=50

There are 5 numbers in the set,

50/5=10.
10 is the mean.



Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers,

6, 7, 10, 12, 15,

10 is in the middle so it is the median.



The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.




Just so you don’t confuse the data with the group sets,

The actual data set is 7, 15, 12, 6, and 10

This data paired with score column or group set means that,

10 people got a score of 1-10
6 people got a score of 11-20
12 people got a score of 21-30
15 people got a score of 31-40
And 7 people got a score of 41-50 :)

The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality

Answers

Answer:

k = 220

Step-by-step explanation:

Proportion of y and x

y = kx

Given :

y = 55x = 1/4

Solving :

55 = k/4k = 55 x 4k = 220

Awnser ASAP please
Tom buys a condominium for $42,600. He makes a down payment of 15%, and pays these closing costs: survey $225; inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286. What is the amount of the down payment? What are the total closing costs? How much will he need to bring to the closing (down payment + closing costs)?





Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?






Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total amount paid, and the cost of the mortgage?






The Roger’s applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history, they actually qualified for a 25 year mortgage at 7%. What were the payments on the 9% loan, and the 7% loan? What do they save monthly? What is the total repayment on the 9% loan and the 7% loan, and what do they save over the life of the loan?

Answers

Answer:

I got you with Question 3 and 4 my guy.

3) He would need 12 and it would cost 50k

4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27

The Tom will need to bring to the closing $54,341.27

He would need 12 and it would cost 50k.

We have given that,

Tom buys a condominium for $42,600.

He makes a down payment of 15% and pays these closing costs to survey $225.

What is the meaning of a down payment?

The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.

Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286

9% payments: $563.24

7% payments: $494.75.

Monthly savings: $69.49

9% total repaid: $2022,764.90  

7% total repaid: $148,423.63

Savings: $54,341.27

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The cost of a flat of strawberries to a grocery store is $7.60 and the store marks the strawberries
up 125%. Find the selling price

Answers

Answer:

7.60+9.50 = 17.10

Step-by-step explanation:

7.60 * 125% = 9.50

9.50+7.60 = 17.10

Which inequality has the graph shown below?

Answers

Answer:

Its A.

Step-by-step explanation:

Here is the graph for A

I don’t understand this subject at all if you wold answer that would be a big help

Answers

Answer:

d is about 8.6 feet.

Step-by-step explanation:

We have similar triangles, so we can set up and then solve this proportion:

[tex] \frac{d}{10} = \frac{6}{7} [/tex]

[tex]7d = 60[/tex]

[tex]d = 8.6[/tex]

What do we do to both sides of this equation to solve?

x−10=8
Question 2 options:

Subtract 10 from both sides


Add 10 to both sides


Multiply both sides by 10


Divide both sides by 10

Answers

Add 10 to both sides

Step-by-step explanation:

x-10 = 8

x - 10 + 10 = 8+ 10

x = 18

Step-by-step explanation:

Add 10 to both sides

or,x-10+10=8+10

or,x=18

Please help with my homework. I will give a brainlist out. Only solve 30 please.

Answers

Let's solve

[tex]\\ \rm\Rrightarrow F=\dfrac{9}{5}C+32[/tex]

[tex]\\ \rm\Rrightarrow 65=\dfrac{9}{5}C+32[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{9}{5}C=65-32=33[/tex]

[tex]\\ \rm\Rrightarrow 9C=165[/tex]

[tex]\\ \rm\Rrightarrow C=165/9[/tex]

[tex]\\ \rm\Rrightarrow C\approx 18.34^{\circ}C[/tex]

Which statement was made by the negative to indicate a bias in the survey data presented by the affirmative?
The survey did not ask for the students' opinions regarding their freedom of expression.
The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.
The survey was performed in elementary schools, not in high school environments.
The survey only asked female school officials for their opinions, not male school officials.

answer B

Answers

Answer:

The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.

Step-by-step explanation:

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