Suppose that 48% of high school students would admit to lying at least once to a teacher during the past year and that 25% of students are male and would admit to lying at least once to a teacher during the past year.20 Assume that 50% of the students are male. What is the probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year? Be sure to show your work and indicate all the rules that you use to find your answer.

Answers

Answer 1

Answer:

0.73 = 73% probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year.

Step-by-step explanation:

I am going to treat these events as Venn probabilities, considering that:

Event A: Lying to the teacher.

Event B: Male

48% of high school students would admit to lying at least once to a teacher during the past year and that 25% of students are male and would admit to lying at least once to a teacher during the past year

This means that \(P(A) = 0.48, P(A \cap B) = 0.25\)

Assume that 50% of the students are male.

This means that \(P(B) = 0.5\)

What is the probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year?

This is:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

Considering the values we were given:

\(P(A \cup B) = 0.48 + 0.5 - 0.25 = 0.73\)

0.73 = 73% probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year.


Related Questions

what is the z score of x=12 if it is two standard deviations to the right of the mean?

Answers

The value of the Z-score will be equal to 2.

What is Z-score?

The z score indicates how many standard deviations your score is from the mean.

At the mean position, the standard deviation is 0 now the z score is the measure of the data which is how far from the mean. So the given data is at two standard deviations to the right of the mean so the Z-Score will be 2.

Therefore the value of the Z-score will be equal to 2.

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Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a C, and 2 earned a D on the last science test. If she randomly surveys one more student from the class, what is the experimental probability that the student would have earned an A on the test.

Answers

Answer:

0.4 or 2/5

Step-by-step explanation:

Dana surveyed 20 students in total and out of those 20 only 8 got an A

so:

\(\frac{8}{20}\) now if you simplify it \(\frac{4}{10}\) and if you simplify it again:

\(\frac{2}{5}\) or 0.4 in decimal

6.

(02.01 MC)


Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:


Pentagon ABCDE and pentagon A double prime B double prime C double prime D double prime E double prime on the coordinate plane with ordered pairs at A negative 4, 5, at B negative 6, 4, at C negative 5, 1, at D negative 2, 2, at E negative 2, 4, at A prime 4, negative 7, at B prime 2, negative 6, at C prime 3, negative 3, at D prime 6, negative 4, at E prime 6, negative 6.


Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″? (1 point)

Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x‒axis

Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis

Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis

Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x‒axis

Answers

Required two transformations are translated according to the rule (x, y) → (x + 8, y + 2) reflected across the x-axis.

How to find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″?

To find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″, we can compare the coordinates of corresponding vertices of both pentagons.

Starting with point A, we see that it has been translated 8 units to the right and 2 units up to become A″. Therefore, the first transformation is a translation according to the rule (x, y) → (x + 8, y + 2).

Next, we can compare the y-coordinates of point A and A″ to see if a reflection has been applied. We see that the y-coordinate of A has changed from 5 to -7 in A″, indicating that a reflection has been applied across the x-axis.

Therefore, the two transformations applied to pentagon ABCDE to create A″B″C″D″E″ are:

Translated according to the rule (x, y) → (x + 8, y + 2)

Reflected across the x-axis.

The other options can be ruled out as they do not correctly reflect the transformation that was applied.

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You are traveling in a car. Your speed is 30 miles per hour. What is your speed in feet per minute?

Answers

Answer:

.5

Step-by-step explanation:

30 miles a hour divide by 60 so your going half a mile a minute

Your speed in feet per minute is 2640 ft/min.

What is unit rate?

A unit rate means a rate for one of something.

Given that, Your rate of speed is 30 miles for every 1 hour

We know, 1 mile = 5280 feet

Therefore, 30 miles = 30x5280 = 158400 feet

That means, you are travelling 158400 feet for every hour

In an hour, there are 60 minutes,

Therefore, you are travelling 158400 feet in every 60 minutes.

In 60 minutes = 158400 feet

In 1 minute = 158400/60 = 2640 feet

That means you are travelling 2640 feet in every 1 minute.

Hence, your speed in feet per minute is 2640 ft/min.

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find the exact value of each of the remaining trigonometric functions of 0. rationalize denominators when applicable.
sin 0 = v3/6 given that cos 0 = 0

Answers

Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).

sin^2(0) + cos^2(0) = 1

sin^2(0) = 1 - cos^2(0)

sin^2(0) = 1 - 0^2

sin^2(0) = 1

So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.

However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.

trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.

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jamal sells some packs f muffins . each pack contains 4 muffins , he sells 36 muffins in al. how many packs of muffins did jamal sell

Answers

f = muffins

4 muffins perpack

36 sold

\(\frac{36}{4}\) 36 divided by 4 = 9

9 what...

9 packs of muffins

i think thats how you do it but i no thats what the answer is

Kevin can fill the bathtub with 16 gallons of water. He has 130 pints of water. Does he have enough water to fill the tub?​

Answers

Answer:

YES he can fill the tub with 16 gallons

Step-by-step explanation:

Hope it helps you correct me if i am wrong

Math homework help exponents

Math homework help exponents

Answers

Answer + Step-by-step explanation:

\(\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5\)

\(\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}\)

_______________________

\((4^8)^3 = a^{8 \times 3}=a^{24}\)

\(\text{used property :} \ \ \ (a^n)^m = a^{n \times m}\)

_______________________

\(10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}\)

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

Recall : If a ≠0   a⁰ = 1

Then

Since 6⁸ ≠ 0   (6⁸)⁰ = 1  

Math homework help exponents

the amount of paint needed to cover a wall is proportional to its area. the wall is rectangular and has an area of 6z2 6z square meters. factor this polynomial to find possible expressions for the length and width of the wall. (assume the factors are polynomials.)

Answers

On factoring the polynomial 6z² + 6z the values for length and width are obtained as 6z and z + 1.

What is a polynomial?

Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

We can factor the polynomial 6z² + 6z by taking out the greatest common factor, which is 6z -

6z² + 6z = 6z(z + 1)

This means that the area of the wall is equal to 6z(z + 1) square meters. Since the area of a rectangle is given by the product of its length and width, we can write -

6z(z + 1) = length × width

Therefore, the possible expressions for the length and width of the wall are -

length = 6z

width = z + 1

or

length = z + 1

width = 6z

Both of these expressions give a product of 6z(z + 1), which is equal to the area of the wall.

We can switch the roles of length and width, so there are two possible expressions for the dimensions of the wall.

Therefore, the length is 6z and width is z + 1.

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93^2 -83^2

SMART CALCULATED

Answers

Answer:

Step-by-step explanation:

-1760 is the answer 83 times 83 minus 93 times 93 is -1760


Solve the equation for g:
3f+2g = 7h


Will give 69 pts

Answers

Answer:

Step-by-step explanation:

2g=7h-3f

g=\(\frac{7h-3f}{2}\)

Answer:

g= \(g=\frac{7}{2}h- \frac{3}{2}f\), f∈R, h∈R

Step-by-step explanation:

3f+2g=7h

2g=7h-3f

g=\(\frac{7}{2}h - \frac{3}{2} f\)

Please help me help this

Please help me help this

Answers

Strong Positive because the line are on up. :)

What is the mean of the following set of data? {1, 4, 7, 5, 3, 3, 5}

Answers

Answer:

the answer is below

Step-by-step explanation:

A. 4.0

B. 4.5

C. 3.5

D. 4.2

Answer:

4

it's not B or C or D so it has to be A

The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches,
find the width of the rectangle.
9
3
6
12

Answers

Okay so 3x4 is 12 right. Then 12x2 which is 24 so then you break it down then you get 9 hope this helps!!! :)

Solve for 6x+4/4=6x+2 Give your answer as a fraction in its simplest form.​

Answers

Answer:

0 = 1

if i'm wrong i'm rlly rlly sorry!!

Write 5/14 with denominator 28

Answers

Answer:

10

Step-by-step explanation:

if you multiply 14 by 2 you get 28, therefore you have to multiply the numerator by 2 also, which gives you 10

Answer:

10/28

Step-by-step explanation:

5/14 = x/28

See that 28 is 14*2

So multiply 14*2 to get 28, and 5 * 2 to get 10

5 / 14 * 2/2 = 10 / 28

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?​

Answers

Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

Find the measure of each angle indicated (quadrilaterals)
I think it’s 100 I just wanna make sure if it is

Find the measure of each angle indicated (quadrilaterals)I think its 100 I just wanna make sure if it

Answers

Question :-

Find the measure of each angle indicated.

○ 44°

○ 68°

○ 59°

○ 100°

____________________

Solution :-

Given Information :-

∠S = 95° ∠T = 85° ∠Q = 80°

To Find :-

The measure of ∠R

Formula Used :-

Sum of all angles of a Quadrilateral = 360°

Calculation :-

We will simply substitute the given values in the formula,

Sum of all angles of a Quadrilateral = 360°

∠S + ∠T + ∠Q + ∠R = 360°

Substituting the values given, We get,

⇒ 95° + 85° + 80° + ∠R = 360°

Calculating further, We get,

⇒ 260° + ∠R = 360°

Transposing 260° to Right Hand Side, We get,

⇒ ∠R = 360° - 260°

Calculating further, We get,

⇒ ∠R = 100°

∠R = 100°

____________________

Final Answer :-

The measure of ∠R is 100°

Hence, Last option i.e., 100° is correct answer.

____________________

ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!

ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!

Answers

10 9/14 bc the 2/7 becomes 4/14. 4/14 + 5/14 = 9/14. 3 + 7 = 10

What is the answer please help no links I will report

What is the answer please help no links I will report

Answers

Answer: I AM GOING TO SAY THE ANSWER IS 25%

Step-by-step explanation:

A of apples has a mass of 4 kg. The average mass of each apple is 1/8 . How many apples are in the bag?

Answers

Answer:

There are 32 apples in the bag.

Step-by-step explanation:

To find the number of apples in the bag, we can use the formula:

number of apples = total mass of apples / average mass of each apple

Given that the bag of apples has a mass of 4 kg, and the average mass of each apple is 1/8 kg, we can substitute these values into the formula to get:

number of apples = 4 kg / (1/8) kg/apple

Simplifying the right-hand side by dividing 4 kg by (1/8) kg/apple, we get:

number of apples = 4 kg * 8/apple = 32 apples

Therefore, there are 32 apples in the bag.

Answer:

Step-by-step explanation:

It is simple by averaging formula as follows
Total mass/average mass = Total apples
4/(1/8)= 32 Apples

i need help with this ​

i need help with this

Answers

Answer:

A and C are true

Step-by-step explanation:

The answer would be A and C

Find the length of the third side of each triangle - Find Hypotenuse

Find the length of the third side of each triangle - Find Hypotenuse

Answers

Answer:

First one 28

Second one 53

Step-by-step explanation:

Using pythagoras theorem

Sqrt(24^2+7^2)=28

sqrt(45^2+28^2)=53

The length of a rectangle is 4 less than 5 times the width. The perimeter is 148 ft.
Find the length and width of the rectangle.

Answers

Answer:

Here to get the points thanks for recommending this ur so nice.

Step-by-step explanation:

For questions 3-4, use the graph of the polynomial function to find the factorization of the polynomial. Assume there is no constant term. 3​

For questions 3-4, use the graph of the polynomial function to find the factorization of the polynomial.

Answers

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

What is a polynomial?

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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according to a recent pew research center report, many american adults have made money by selling something online. in a random sample of 4579 american adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met. construct a 98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year. (0.1859, 0.2133) (0.1899, 0.2093) (0.1994, 0.1998) (0.1880, 0.2112) (0.1937, 0.2037)

Answers

98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year by using z-score. The correct answer is (0.1859, 0.2133)

The point estimate for the proportion of American adults who earned money by selling something online in the previous year is:

p-hat = 914/4579 = 0.1995

To construct a 98% confidence interval for the population proportion, we can use the formula:

p-hat ± z*(sqrt(p-hat*(1-p-hat)/n))

where z is the z-score associated with the desired confidence level (98% corresponds to a z-score of 2.33), and n is the sample size. Plugging in the values, we get:

0.1995 ± 2.33*(sqrt(0.1995*(1-0.1995)/4579))

Simplifying this expression, we get:

(0.1859, 0.2133)

Therefore, the correct answer is (0.1859, 0.2133). This means we are 98% confident that the true proportion of American adults who earned money by selling something online in the previous year lies between 0.1859 and 0.2133.

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

What are similar triangles?

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

AA (Angle-Angle)SSS (Side-Side-Side)SAS (Side-Angle-Side)

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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I will mark brainlest

I will mark brainlest

Answers

Answer:
4^3 = 64
4^2 = 16
4^1 = 4
4^0 = 1

(-2)^3 = -8
(-2)^2 = 4
(-2)^1 = -2
(-2)^0 = 1
4^3=64
4^3=12
that should be the answer


Find the slope of the line passing through the points (-9, 7) and (7, 7)

Answers

Answer:

The slope is zero.

Step-by-step explanation:

determine the surface area and volume

determine the surface area and volume

Answers

The surface area of a cylinder is 284m² and it's volume is 366.9m³

What is the surface area and volume of a cylinder?

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

Surface Area (A) = 2πr² + 2πrhVolume (V) = πr²h

From the given question, the data are;

radius = 4mheight = 7.3m

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

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