A statistics class with 30 students has 10 males and 20 females. Suppose you choose 3 of the students in the class at random. Find the probability that all three are female

Answers

Answer 1

The probability that all three are female is  0.281

What is probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability. The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

2030⋅1929⋅18282030⋅1929⋅1828 = 0.281

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Related Questions

Which equation with exponential expression are true?

Answers

Answer: B,D

Step-by-step explanation:

Question 8(Multiple Choice Worth 4 points) (02.01 MC) Identify the types of sampling errors that exist in the following sampling designs: The local newspaper plans to make a prediction for a senatorial election based on a survey of its readers. A radio show asks people to phone in their views on whether the United States should pay off its debt to China. A new social media website chooses to survey the first 50 members who join to determine whether members favor the appearance of the homepage.

Answers

Answer: Nonresponse, voluntary, and convenience.

Step-by-step explanation:

For the first question, it should be noted that everyone cannot respond as only the people who have strong opinions will respond. Therefore, it's a nonresponse error.

For the second question, the people will have to volunteer. Therefore, it's a voluntary bias while the third one is a convenience sample as it's an easily available sample.

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yesterday the temperature at noon was 21.5°F. By midnight,it had gone down by 30°F. What was the temperature at midnight​

Answers

So I got this answer: 21.5-30= -8.5

Answer:

The temperature was -8.5

Step-by-step explanation:

Subtraction

What is the degree of the polynomial 7x³ 5x 4x³ 2x²?

Answers

The degree of the polynomial 7x³ 5x 4x³ 2x² is 3.

The degree of a polynomial is the highest power of x in the polynomial.

In this case, the polynomial is 7x³ 5x 4x³ 2x², and the highest power of x is x³. This means that the degree of this polynomial is 3.

It's important to note that when working with polynomials it's important to pay attention to the signs of the coefficients. In this case, we have 7x³, 5x, 4x³, 2x². The x³ term has the highest degree and it's coefficient is 7, the x term has the second highest degree and it's coefficient is 5, the x³ term has the same degree as the first x³ term, but the coefficient is different, and the x² term has the fourth highest degree and it's coefficient is 2.

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Which statement correctly uses limits to determine a vertical asymptote of g (x) = StartFraction negative 7 (x minus 5) squared (x + 6) Over (x minus 5) (x + 5) EndFraction There is a vertical asymptote at x = 5, because Limit of g (x) as x approaches 5 minus = infinity and limit of g (x) as x approaches 5 plus = negative infinity There is a vertical asymptote at x = 5, because Limit of g (x) as x approaches 5 minus = negative infinity and limit of g (x) as x approaches 5 plus = infinity There is a vertical asymptote at x = –5, because There is a vertical asymptote at x = –5, because

Answers

Answer:

D

Step-by-step explanation:

edge i graphed it on desmos

Vertical asymptote concept used to solve this question. First, I explain the concept, and then, you use it to solve the question.

Using this, we get that the correct option is:

There is a vertical asymptote at x = –5, because limit of g(x) as x approaches -5 minus = negative infinite and limit of g(x) as x approaches -5 plus, it is positive inifnite.

Vertical asymptote:

A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;

In a graphic, these vertical asymptotes are given by dashed vertical lines.

An example is a value of x for which the denominator of the function is 0, and the function approaches infinite for these values of x.

The fraction is:

[tex]g(x) = -\frac{7(x-5)^2(x+6)}{(x-5)(x+5)}[/tex]

Simplifying:

The term (x-5) is present both at the numerator and at the denominator, and thus, the function can be simplified as:

[tex]g(x) = -\frac{7(x-5)(x+6)}{x+5}[/tex]

Vertical asymptote:

Point in which the denominator is 0, so:

[tex]x + 5 = 0[/tex]

[tex]x = -5[/tex]

Now, we take a look at the graphic of the simplified function, given at the end of this answer.

You can see that as x approaches -5 to the left, that is -5 minus, the function goes to minus infinite, and as x approaches -5 to the right, that is, -5 plus the function goes to plus infinite, and thus, the correct answer is:

There is a vertical asymptote at x = –5, because limit of g(x) as x approaches -5 minus = negative infinite and limit of g(x) as x approaches -5 plus, it is positive inifnite.

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Answer quickly please. No links please. The length of the minute hand is 150% of the length of the hour hand.what distance will the tip of the minute hand move in 45 minutes? round to the nearest hundredth. the minute hand will move ? Answer quickly please.

Answers

Answer:

108π mm.

Step-by-step explanation:

The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.  

But:

circumference is given by:

C=2*π*radius

The distance traveled by the hand in 12 hours will be:

2**36=76π mm

The distance traveled in 45 min will be:

0.75/12 *72π=4.5π mm

in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.

Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:

2*π*54mm=108π mm.

Hence;

in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm

c=⟨–5,8⟩ and d=⟨7,4⟩, find –4c–4d.–4c–4d=

Answers

Refer to the attached image.

Solve each system by elimination
-3x-6y=-3
5x+5y=0

Answers

Answer:

x=1 and y=−1

Step-by-step explanation:

Multiply the first equation by 5,and multiply the second equation by 6.

5(−3x−6y=3)

6(5x+5y=0)

Becomes:

−15x−30y=15

30x+30y=0

Add these equations to eliminate y:

15x=15

Then solve15x=15for x:

15x=15

15x

15

=

15

15

(Divide both sides by 15)

x=1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−3x−6y=3

Substitute1forxin−3x−6y=3:

(−3)(1)−6y=3

−6y−3=3(Simplify both sides of the equation)

−6y−3+3=3+3(Add 3 to both sides)

−6y=6

−6y

−6

=

6

−6

(Divide both sides by -6)

y=−1

5. Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he
assembled 137 toys. He noticed that since he started, every day he assembled 3 more
toys than the day before. How many toys did Jamal assemble altogether during his first
20 days?

(Arithmetic sequence)——

Answers

2170 toys Jamal assemble altogether during his first 20 days.

What is the arithmetic sequence?

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

Here, we have

Given: Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he assembled 137 toys. He noticed that since he started, every day he assembled 3 more toys than the day before.

We have to find how many toys did Jamal assemble altogether during his first 20 days.

We apply the arithmetic sequence formula and we get

tₙ = t₁ + (n-1)d

137 = t₁ + (20-1)(3)

t₁ = 80

To calculate the total number of toys that Jamal assemble in his first 20 days,

S₂₀ = (20/2)(2×80 + (20-1)(3))

S₂₀ = 2170

Hence, 2170 toys Jamal assemble altogether during his first 20 days.

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if u know lmk pls and ty

Answers

Answer:

A) The cat weights 7 kilograms when it is 4 months old.

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hope it helps...

have a great day

y = -3x + 2 y = 4x - 5. *
can someone solve this for me please?​

Answers

Answer:

y=  -3          

y = 4                        

Step-by-step explanation:

if m LJK=28 what is m MLK

Answers

Answer:

if LJK is 28, then by using the triangle sum theorem, JLK is 62. because the triangles are congruent,( angle+side+hypotneus/HL), JLK is congruent to JLM, so you add them together and get 62+62=124 = MLK. I'm pretty sure thats the right answer, might want to go over that.

6. If l // k and k // m, then

Answers

Answer:

If l //k and k// m then L//m

So, option D is your answer

Step-by-step explanation:

If 2 lines are parallel to A Third line, then the 2 lines are parallel.

[tex]------------[/tex]

hope it helps..

have a great day!!

please and thank you help with math!!

Answers

Answer:none of these

Step-by-step explanation:

Twenty nine percent of the 50,000 spectators at a Liverpool football match are wearing red t-shirts.
How many people are wearing a red t-shirt?

Answers

Answer:

Number of people wearing a red t-shirt= 14,500

Step-by-step explanation:

Giving the following information:

Number of people= 50,000

Percentage of people using red t-shirt= 29%

To calculate the number of people wearing a red t-shirt, we need to use the following formula:

Number of people wearing a red t-shirt= number of people*percentage of people wearing a red t-shirt

Number of people wearing a red t-shirt= 50,000*0.29

Number of people wearing a red t-shirt= 14,500

I NEED HELPPPPPPP
Anita needs to construct ten cones for a class project. How many square feet of material will she need? Use 3.14 for π. Enter your answer in the box.

Answers

Answer:

Since she needs 10 cones:

10 * 116.52 sq. ft = 1,165.2 sq ft.

She will need 1,165.2 sq ft of material.

Step-by-step explanation:

And the first derivative of
f(n) = 15e​

Answers

Answer:

[tex]\displaystyle f'(n) = 0[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹  

Step-by-step explanation:

The derivative of any constant is equal to 0.

PLEASE ANSWER QUICK!!!

Answers

Answer:

(0,5) and (1,0)

Step-by-step explanation:

Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
5

Answers

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

orgoi2rv

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

D

Step-by-step explanation:

For a quadratic equation ax² +bx +c= 0, the quadratic formula is as below:

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

x² -12x +7= 0

[tex]x = \frac{ - ( - 12)± \sqrt{( - 12) {}^{2} - 4(1)(7) } }{2(1)} [/tex]

[tex]x = \frac{12± \sqrt{144 - 28} }{2} [/tex]

[tex]x = \frac{12± \sqrt{116} }{2} [/tex]

[tex]x = \frac{12± \sqrt{4(29)} }{2} [/tex]

[tex]x = \frac{12±( \sqrt{4})( \sqrt{29} )}{2} [/tex]

[tex]x = \frac{12±2 \sqrt{29} }{2} [/tex]

[tex]x = 6± \sqrt{29} [/tex]

[tex]∴x = 6 + \sqrt{29} \: \: \: or \: \: \:x = 6 - \sqrt{29}[/tex]

There are 80 oranges and apples, and 5% of them are apples. William takes out some of the oranges, so apple make up 20% of the remaining pieces of fruit. How many oranges did he take out

Answers

4 out of the 80 are apples. 4 = 20%, 20 = 100% - 16 oranges and 4 apples. 76-16 = 60 oranges that he took out. The answer is 60

PLs anwser this go see attachement

Answers

Answer: 157.1

Step-by-step explanation:

BRAINLIEST TO BEST IN DEPTH ANSWER (NO BRAINLY IF DOESN'T ANSWER ALL QUESTIONS

Answers

Answer for question 1: B. Because 10 times 1 is 10 kg and is not close to 100

Answer for question 2: B. because it is within the scientific measurement of between 1-10

Answer for question 3: C. Because 24-2 is 22

Find the angle measure of the shaded region

Answers

Answer:

look at the picture I sent

What is the value of f in a function?

Answers

A function is generally indicated by f.

What is function?

A mathematical expression that indicates a relationship between an independent variable and a dependent variable.

In other word, a function shows a relation between a set of input values to a set of output values in where each input value is connected to only a particular output value.

What is the value of f in a function?

A function is generally, expressed by letters such as f, g and h and so on.

It is said that f(x) is a function of x or g(x) and h(x) are a function of x when functions are denoted by g or h.

For an input value of an independent variable x, the output value is denoted by f(x) that is equal to a dependent variable such as y. We can write, y = f(x)

The set of x value are the domain of function, and the set of f(x) value are the ranges of a function.

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Complete question is: What is the value of f in a function?

On average a bird visits 950 flowers per day for nectar how many flowers does the bird visit in an hour Round your answer to the nearest whole flower. B how many flowers does the bird visit in a year

Answers

So, the bird visits 40 flowers per hour and approximately 347,750 flowers per year.

A. On average, a bird visits 950 flowers per day. To find the number of flowers visited per hour, we divide 950 by 24 (the number of hours in a day). This gives us approximately 39.58 flowers per hour. Rounded to the nearest whole flower, the bird visits 40 flowers per hour.

B. To find the number of flowers visited in a year, we multiply the number of flowers visited per day (950) by the number of days in a year (365). This gives us approximately 347,750 flowers visited per year.

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hellpp me plssss :( NO LINKS!

Answers

Answer: the perimeter of the garden is 24 and the area of the garden is 32

Step-by-step explanation:

Perimeter: 4 + 4 + 8 + 8 = 24

Area: 4 x 8 = 32

PLS HELP! THANKS!
look at image I provided.

Answers

Answer:

m = 8h

Step-by-step explanation:

For any given h value (number of hours), the m value is h * 8. For example, after 2 hours, she has earned 16 dollars. h is 2 and h * 8 = 16.

Answer:

m = 8h

Step-by-step explanation:

She earns 8 dollars per hour.

For example:

If she worked for 5 hours she would earn 40 dollars.

m = 8(5)

m = 40

A certain star is 5.5 times 10 to the second power light years from the Earth. One light year is about 5.9 times 10 to the twelth power miles. How far from the earth​ (in miles) is the​ star?
​(Use scientific notation. Use the multiplication symbol in the math palette as​ needed.)

Answers

Answer:

Step-by-step explanation:

3.245e+13

Wilbur left school and drove toward the town hall at an average speed of 30 mph. Jack left sometime later driving in the same direction at an average speed of 75 mph. After driving for two hours Jack caught up with Wilbur. How long did Wilbur drive before Jack caught up.

Answers

Wilbur drove for 5 hours before Jack caught up with him.

How to calculate the distance?

Based on the information, the distance = (Wilbur's speed) x (time) = (Jack's speed) x (time + (time Wilbur drove))

We know that Jack's speed is 75 mph, and that he caught up with Wilbur after 2 hours. We also know that the distance covered by Jack is the same as the distance covered by Wilbur.

So we can write:

distance = (Wilbur's speed) x (time) = (Jack's speed) x (2 hours)

We are given that the Wilbur's speed is 30 mph, so we can substitute that in the above equation:

distance = 30 mph x (time) = 75 mph x 2 hours

Then we can solve for time by dividing both sides of the equation by 30:

time:

= (75 mph x 2 hours) / 30 mph

= 5 hours

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