In a particular college class, 60% of the students are female. Of the female students, 75% have long hair. One student is picked randomly in the class. What is the probability that it is a female with long.

Answers

Answer 1

The probability that it is a female with long hair is 0.75 .

How is probability defined and what is it?

Potential is described by probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability generally refers to the degree to which something is likely to occur. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Every event's probability in a sample space is one.

the likelihood of an occurrence, E is

P(E) = The proportion of positive outcomes to all outcomes.

In probability, an event is said to be independent if it is completely unaffected by the occurrence of any other event, and it is considered to be dependent if it is affected by other occurrences.

Using the literature and formulas mentioned above, we have:

Let F stand for the circumstance that the student is a female and L for the circumstance that the student has long hair.

In this illustration, the probability are as follows:

P(F) = 0.60; P(L) = 0.50

P(F AND L) = 0.45 and P(L|F) = 0.75 as a result.

As a result, there is a 0.75 percent chance that a randomly chosen student has long hair.



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Related Questions

Find all values for x that will make this expression equal to 0.
3x(x+6)

Answers

Answer:

3x(x+6)

=(3x)(x+6)

=(3x)(x)+(3x)(6)

=3x2+18x

Step-by-step explanation:

I honestly forgot about this lol please revive my brain

Answers

Given:

[tex]y=4x[/tex]

To draw the graph:

Let us find the slope as the ratio.

Comparing the given equation with y=mx+c

So, the slope m=4.

In ratio,

[tex]\frac{\text{Change in y}}{\text{change in x}}=\frac{4}{1}\Rightarrow4\colon1[/tex]

Let us take two points, (0,0) and (1,4).

So, the graph is,

HELP I’LL MARK BRAINLIEST AND ITS 100 POINTS

p: a month begins with the letter M; q: it has 31 days

match the statements

1) conditional

2) converse

3) inverse

4) contrapositive


if a month does not begin with the letter M then it does not have 31 days

if a month does not have 31 days then it does not begin with the letter

if a month begins with the letter M then it has 31 days if a month has 31 days then it begins with the letter M

Answers

Answer:

1) Conditional

If a month begins with letter M, then it has 31 days.

2) Converse

If a month has 31 days, then it begins with letter M.

3) Inverse

If a month does not begin with the letter M, then it does not have 31 days.

4) Contrapositive

  If a month does not have 31 days, then it does not begin with the letter M.

Step-by-step explanation:

1) Conditional

If a month begins with letter M, then it has 31 days.

2) Converse

If a month has 31 days, then it begins with letter M.

3) Inverse

If a month does not begin with the letter M, then it does not have 31 days.

4) Contrapositive

  If a month does not have 31 days, then it does not begin with the letter M.

Conditional statement states the original statement. If 'p' , then 'q'

Converse statement switch positions in the original if --then statement. If 'q', then 'p'

Inverse statement states the opposite of the original statement. If not 'p', then not 'q'.

Contrapositive if not 'q' , then not 'q'.

Clay is flying a helicopter at an altitude of 400 feet in the air. Jason is diving 200 feet below the surface.

How far apart are Clay and Jason?

Explain how to show the distance between Clay and Jason using absolute value.

Answers

Clay and Jason are 600 feet far apart.

When an object goes above the surface, the altitude is measured as +ve and when an object goes below the surface, the altitude is measured as -ve.

Since Clay is flying a helicopter at an altitude of 400 feet in the air,

The Value of altitude of Clay = +400

Since, Jason is diving 200 feet below the surface,

The Value of altitude of Jason = -200

The the distance between Clay and Jason = (The Value of altitude of Clay) - (The Value of altitude of Jason)

= +400 - (-200)

= 400 + 200

= 600 feet

Therefore, the distance between Clay and Jason is 600 feet.

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Solve 7x − 2(x + 1) = 6x + 14
A. x = −12
B. x = 12
C. x = −16
D. x = 16
I don't know what to do here.

Answers

C.x=-16
1. Distribute -2
7x-2(x+1)=6x+14
7x-2x-2=6x+14

2.combine like terms

7x-2x-2=6x+14
5x-2=6x+14

3.add 2 to isolate x on one side

5x-2=6x+14
5x=6x+16

4. Subtract 6x from both sides to isolate the number

5x=6x+16
-x=16

5. Divide by -1 on both sides to make x positive

-x=16
X=-16

Answer: C, x = -16

Step-by-step explanation:

1. Distribute

7x-2(x+1)=6x+14

7x-2x-2=6x+14

2. Combine like terms

7x-2x-2=6x+14

5x-2=6x+14

3. Add 2 to both sides

5x-2+2=6x+14+2

4. Simplify

Add the numbers

5x=6x+16

5. Subtract 6x from both sides

5x-6x=6x+16-6x

6. Simplify

Combine like terms

-x=16

7. Divide both sides by the same factor

-x/-1=16/-1

8. Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

If Maggie corrected her mistake, what would be the correct answer for x?

Answers

correct value of x will 9 if Maggie corrected her mistake.

WHAT IS LINEAR EQUATION ?

When the greatest power of the variable is consistently 1, an equation is considered to be linear. A one-degree equation is another name for it. The typical form of a linear equation with one variable is Ax + B = 0. The variables x and A in this situation are variables, whereas B is a constant.

CALCULATION

Applying the parallel line theorem

alternate angles are always equal -

therefore ,

 4x + 2 = 7x - 25

27 = 3x

x = 9

so , the correct value of x will be 9 if maggie corrected her mistake

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Growing linearly, the balance owed on your credit card triples from $500 to $1500 in 9 months. If the balance were growing according to the exponential function f(x)=500(1+0.13)x where x represents the number of months, what would the balance be after 9 months? Round your answer to the nearest cent.

Answers

If the balance were growing according to the exponential function, the balance owed on your credit card after 9 months is equal to $1,502.02.

What is an exponential function?

In Mathematics, an exponential function simply refers to a mathematical function whose values are generated by a constant that is raised to the power of an argument.

From the information provided, an exponential function that models or represents the rate at which the balance owed on your credit card triples is given by:

f(x) = 500(1 + 0.13)^x

Where:

f(x) represents the balance owed on your credit card.x represents the number of months.

After 9 months, the balance owed on your credit card would be calculated by substituting the value of x with 9 as follows:

Balance owed,  f(x) = 500(1 + 0.13)^9

Balance owed, f(x) = 500(1.13)^9

Balance owed, f(x) = 500 × 3.0040419380

Balance owed, f(x) = $1,502.02.

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Complete Question:

Growing linearly, the balance owed on your credit card triples from $500 to $1500 in 9 months. If the balance were growing according to the exponential function f(x) = 500(1 + 0.13)^x, where x represents the number of months, what would the balance be after 9 months? Round your answer to the nearest cent.

Answer:

$1502.02

Step-by-step explanation:

f(x)=500(1+0.13)^x

f(9) = 500(1.13)^9

f(9) = 500(3.004041938)

f(9) = 1502.02

Answer: $1502.02

Graph this.
y=2/3x-4

Answers

Answer:

Step-by-step explanation:

Put the left dot on negative 4, and then put the right dot on positive 6.

Help! I don’t know if this is correct

Answers

Answer:

can you turn it to the carma I can see it that good

prodigy question of perimiter

Answers

The number of length of 4 feet they need is 8.

How to find the number of length required for fencing?

He wants to fence around there garden that measures 8 feet by 8 feet.

The store sells fencing in length of 4 feet's.

Therefore,

perimeter of the garden = 4l

where

l = side length

The perimeter of a shape is the sum of the whole side.

Hence,

perimeter of the garden = 4 × 8

perimeter of the garden =  32 feet

Therefore,

number of length required = 32 / 4

number of length required =  8

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An airplane travels 130,000 feet horizontally drring take-off, reaching a height of 35,000 feet. the airplane travels at a constant rate.what is the plane's launch angel? round your answer to the neatest degree.

Answers

The launching angle of the plane which has reached a height of 35000 ft is 15°

Let the distance travelled by the airplane horizontally be AB

The height reached by the airplane be BC

Thus AB = 130000 ft

        BC = 35000 ft

The launching angle of the airplane can be found using the formula

                                   tanθ = opposite / adjacent

                                                    (or)

                                           tanθ  = BC / AB

Let us substitute the known values in the above equation, we get

                                         

                                          tanθ  = 35000/130000

                                          tanθ  = 0.2692

                                               θ  = tan⁻¹ (0.2692)

                                               θ  = 15.067°

                                               θ  ≅ 15°

Therefore , the launching angle of the airplane is 15°

 

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Select the correct answer from each drop-down menu. A graph plots stock value. A line rises from (18, 1,725 point 00) to (20, 1,750 point 00) declines to (25, 1,670 point 0 0) and rises to (1, 705 point 7 4). Line graphs show price trends over different time periods. What data points are used to create a line graph on the stock quote shown? The line graph is created using the of the stock each .

Answers

The line graph is created using the close price of the stock each day.

What is a stock?

In Trading and securities, a stock is also known to as equity and it can be defined as a financial security which represents a stockholder's ownership of a fraction of a corporation.

What is an closing price?

An closing price can be defined as the official price at which a financial security first trades at the closing of an exchange on a stock market, during a regular trading session.

This ultimately implies that, a closing price is the price at which the last financial transactions are completed or the last bids and offers are made by eligible customers on a stock market.

In this context, we can reasonably infer and logically deduce that the close price of the stock each day was used to create the line graph.

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Complete Question:

Select the correct answer from each drop-down menu. A graph plots stock value. A line rises from (18, 1,725 point 00) to (20, 1,750 point 00) declines to (25, 1,670 point 0 0) and rises to (1, 705 point 7 4). Line graphs show price trends over different time periods. What data points are used to create a line graph on the stock quote shown?

The line graph is created using the _____ of the stock each _____.

Answer:w

Step-by-step explanation:aaw

w

does anyone know the answer ​

Answers

Assuming that this is like terms
7m+6
7k+9
5b+15

Point A is at (-7, 5) and point B is at (7,3).
What is the midpoint of line segment AB?

Answers

[tex]m = ( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ = ( \frac{ - 7 + 7}{2} . \frac{5 + 3}{2} ) \\ =( \frac{0}{2} . \frac{8}{2} ) \\ m(0.4)[/tex]

be alert m represents the MIDPOINT.

THE MIDPOINT IS (0,4)

Answer:

-1/7

Step-by-step explanation:

in july, abby's gym membership will increase by 18% a month. if she is currently paying $32 a month how much will she pay in july?

Answers

The exponential function that shows the amount of money paid for membership x months after the beginning of the year is given by y = 32(1.18)ˣ.

What are the types of exponential function?

There are two possibilities for the exponential function: it can be increasing or decreasing. Being increasing means that as the value of x increases, the value of f(x) also increases; being decreasing means that as the value of x decreases, the value of f(x) also decreases.

Let y represent the amount of money paid for membership x months after the beginning of the year. Abby's gym membership will increase by 18% a month. This is an exponential function.She is currently paying $32 a month, hence:y = 32(1 + 0.18)ˣy = 32(1.18)ˣ

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Hi, I am taking PSAT and I am working on the math section. I need help with answering this math type of question. Please give the best explanation.

Answers

By using the concept of uniform rectilinear motion, the distance surplus of the average race car is equal to 3 / 4 miles. (Right choice: A)

How many more distance does the average race car travels than the average consumer car?

In accordance with the statement, both the average consumer car and the average race car travel at constant speed (v), in miles per hour. The distance traveled by the vehicle (s), in miles, is equal to the product of the speed and time (t), in hours. The distance surplus (s'), in miles, done by the average race car is determined by the following expression:

s' = (v' - v) · t

Where:

v' - Speed of the average race car, in miles per hour.v - Speed of the average consumer car, in miles per hour.t - Time, in hours.

Please notice that a hour equal 3600 seconds. If we know that v' = 210 mi / h, v = 120 mi / h and t = 30 / 3600 h, then the distance surplus of the average race car is:

s' = (210 - 120) · (30 / 3600)

s' = 3 / 4 mi

The distance surplus of the average race car is equal to 3 / 4 miles.

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I need help with this assignment

Answers

Answer:

8800000 or 88x 10^5

Step-by-step explanation:

4x2200000=8800000

the associative property holds true for multiplication because -3 x4 x-2 = -3 x 4 x-2 does the associative property hold true for divison of integers

Answers

Answer:

Step-by-step explanation:

No it does not hold for division nor subtraction. An example would be 8÷(4÷2)≠(8÷4)÷2. You would get two complete different answers. For the first equation you would get 4 where as for the second equation you would get 1.

help! last question
Question 1 (1 point)
Simplify the expression and rationalize the denominator.
16x4y8
5z

Answers

Answer:

[tex] = \frac{ {4x}^{2} {y}^{4} \sqrt{5z} }{5z} [/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{16x {}^{4} y {}^{8} }{5z} } \\ = \sqrt{ \frac{16 {x}^{4} y {}^{8} }{ \sqrt{5z \\ } } } \\ = \frac{4 {x}^{2}y {}^{4} }{ \sqrt{5z} } \\ = \frac{ {4x}^{2} y {}^{4} \sqrt{5z} }{5z} [/tex]

Melissa rented a Segway, a stand up scooter, in downtown Austin, Tx. The store charges a $3.25 initial charge plus $2.50 per mile. Which equation can be used to find y, the total cost of the rental, if x represents the number of miles Melissa rode on the Segway?
pls it has to be like "y=mx+b"

Answers

Answer:

y = x(2.50)+3.25

Step-by-step explanation:

y (total cost )= x (miles rode) * 2.50 (cost per mile) + 3.25 (initial cost)

|-4/3x-5|>19
Solve with work please. ;)

Answers

The inequality expression given as |-4/3x - 5| > 19 has a solution of 10.5 < x < -18

How to solve the inequality?

From the question, the inequality is given as

|-4/3x-5|>19

Rewrite properly as

|-4/3x - 5| > 19

Remove the absolute bracket

So, we have the following representation

-19 > -4/3x - 5 > 19

Add 5 to all sides of the inequality

So, we have

-14 > -4/3x > 24

Multiply through by -3/4

So, we have

10.5 < x < -18

Hence, the solution to the expression is 10.5 < x < -18

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find the value of x when y=10 and 2y+y=x

Answers

x = 30

Step-by-step explanation:

Given,

y = 10, x = ?

2y+y = x → Equation no. (1)

Substitute the value of y in Equation no. (1) then,

2(10)+10 = x

20+10 = x

30 = x (OR) x = 30.

Please answer all questions. I really need help! Thank you

Answers

For the quadratic equation:

x^2 + 7x = 8x + 12

The two solutions are:

x = 4

x = -3

How to find the zeros of the quadratic equation?

I'm only solving the first question, as it is how the guidelines say.

Here we have the quadratic equation:

x^2 + 7x = 8x + 12

First, we can rewrite this equation as:

x^2 + 7x - 8x - 12 = 0

x^2 - x - 12 = 0.

Using Quadratic formula we can see that the solutions (or zeros of the quadratic) are:

x = (1 ± √(  (-1)^2 - 4*1*-12))/(2*1)

x = (1 ± 7)/2

Then the two solutions are:

x = (1 + 7)/2 = 4

x = (1 - 7)/2 = -3

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The square root of a number is between seven and eight .which could be the number?

Answers

Answer: 51

Step-by-step explanation:

Which of the following is equivalent to 2.76?


2.76%

27.6%

two and nineteen twenty fifths

twenty five over nineteen

Answers

The equivalent number to 2.76 is the mixed number 2 + 19/25.

Which of the following is equivalent to 2.76?

Here we need to see which option is equivalent to the given number, which is 2.76.

We can rewrite this as a mixed number.

2 + a/b

Such that:

a/b = 0.76

By looking at the options, we can see:

19/25 = 0.76

Then the correct option is:

2 + 19/25

So the third option is the correct one.

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what is the value of n?

Answers

the answer to this problem is: D

Answer: Sorry for the late answer, I was already answering it by the time someone else answered

Step-by-step explanation:

Since two angles on a straight line add up to 180, I used the angles given to find the adjacent angles to it by subtracting those angles from 180. Then, since the angles of a triangle add up to 180, I used the angles I just solved for to find the angle that is adjacent to n. I did the same thing I did to the first two angles by subtracting it from 180 to find n, which was 69 degrees

If someone could help me with these two problems please. ( will mark brainliest if correct )

Answers

The value of t for the angles of the given triangle will be 30.67.

What are the angles of triangle?

The straight angle is equal to the total of the angles of a triangle. Three angles, one at each vertex and bounded by two neighbouring sides, make up a triangle. For a very long period, it was unknown if there were any alternative geometries for which the total is different.

The triangle has three sides and is a two-dimensional figure having the sum of the angles of 180 degrees.

In the given image the three angles are 2t, t + 8, and t - 12. The value of t will be calculated as:-

2t + t + 8 + t - 12 = 180

4t - 4 = 180

4t = 184

t = 184 / 4

t = 30.67

Therefore, the value of t for the angles of the given triangle will be 30.67.

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PLEASE HELP Which equation is equivalent to -2a + 6b = -8c + 16?​

Answers

You could divide both sides by 2, which gets you -a + 3b = -4c + 8.

Answer:

a=4c-8+3b

Step-by-step explanation:


Evaluate the expression for x=-1,0, 1, 2
-3x + 4
X=0
X=-1
x = 1
X=2

Answers

Answer:

-3(-1) + 4 = 3 + 4 = 7

-3(0) + 4 = 0 + 4 = 4

-3(1) + 4 = -3 + 4 = 1

-3(2) + 4 = -6 + 4 = -2

what two numbers multiply to 2400 and add up to -16?

Answers

Based on the fact that the two numbers multiply to 2,400 and add up to -16, the numbers are undefined.

How to find the numbers?

Assume that one of the numbers is x and the other number is y, the system of equations to represent this is given that the two numbers add up to -16 and multiplying to 2,400:
x + y = -16

xy = 2,400

Expressing y in terms of x :

xy = 2,400

y = 2,400 / x

Solving for x gives:

x + y = -16

x + (2,400 / x) = -16

x = 0

y = 0

The problem given in the question is wrong because the results of x and y are undefined.

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