Suppose that 8 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the ​finalists, what is the probability of selecting ​(A) 3 females and 2​ males? ​(B) 4 females and 1​ male? ​(C) 5​ females? ​(D) At least 4​ females?

Answers

Answer 1

Answer:

0.4196

0.2098

0.0280

0.2378

Step-by-step explanation:

Given that:

Number of females = 8

Number of males = 6

Total = 8 + 6 = 14

Number of positions = 5

Probability = required outcome / Total possible outcomes

Total possible outcomes = 14C5

nCr = n! / (n-r)! r!

14C5 = 2002 (from calculator)

​(A) 3 females and 2​ males?

Required outcome : 8C3 * 6C2 = 56 * 15 = 840

840 / 2002 = 0.4196

(B) 4 females and 1​ male? ​

(8C4 * 6C1) / 14C5 = 420 / 2002 = 0.2098

(C) 5​ females?

8C5 / 14C5 = 56 / 2002 = 0.0280

​(D) At least 4​ females?

4 female 1 male + 5 females

((8C4 * 6C1) + 8C5) / 14C5

(420 + 56) / 2002 = 0.2378


Related Questions

i don’t know what to do, please help!!

Answers

Answer:

b 7

Step-by-step explanation:

open the bracket and the power gets cancelled because it will be 5/5

then answer will be 7 to the power 1 which is equals to 7

Jason used 0.5 cup of kernels to make 16 cups of popcorn how many cups of popcorn would he make if he used 0.75 cup of kernels.
A. 32
B. 28
C. 24
D. 20

PLEASE HELP ME IM DAILING MATH​

Answers

Answer:

Option C: 24 is the correct answer.

Step-by-step explanation:

Given that:

Jason used 0.5 cup of kernels to make 16 cups of popcorn

Ratio of cup of kernel to cups of popcorn = 0.5 : 16

Let,

x be the cups of popcorn made from 0.75 cups of kernel

Ratio of cups of kernel to cups of popcorn = 0.75 : x

This is a direct proportion as the cups of kernel is increasing.

0.5 : 16 :: 0.75 : x

Product of mean = Product of extreme

16*0.75 = 0.5x

12=0.5x

0.5x=12

Dividing both sides by 0.5

[tex]\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24[/tex]

Jason can make 24 cups of popcorn from 0.75 cups of kernel.

Hence,

Option C: 24 is the correct answer.

Comparing Linear Functions Written in Different Ways Compare the linear functions expressed below by data in a table and by an equation. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative four-thirds, 1, 4. Column 2 is labeled y with entries negative StartFraction 9 Over 2 EndFraction, negative 1, three-fourths, 3. y = three-fourths x. Which of the following statements are true? Select all that apply. If the equation were graphed, it would be a horizontal line. Both functions have the same slope. The origin is the y-intercept for the function expressed in the table. The linear equation does not have a y-intercept. The table and the graph express an equivalent function.

Answers

Answer:

#2

Both functions have the same slope.

#3

The origin is the y-intercept for the function expressed in the table.

#5

The table and the graph express an equivalent function.

Answer:

B, C, E

Step-by-step explanation:

I got it right on edge

Help! Thank youuuuu!!!!!

Answers

Answer:

scamming outta points

Step-by-step explanation:

Can somebody plz help answer all the questions correctly thanks!
(Only if u know how to do this)

WILL MARK BRAINLIEST WHEOEVER ANSWERS FIRST :DD

Answers

Answer:

%50

%-15

%40

%62.5

%27.5

%60

Step-by-step explanation:

Which statement best explains why citizens are required to pay taxes to the government? (3 points)
A) If citizens do not pay taxes, they will lose their legal citizenship.
B) Citizens who pay taxes receive special benefits, such as free food.
C) Taxes help pay for the services government provides, such as education.
D) Taxes are paid back to the people evenly, helping spread money around.

Answers

Answer:

C.

Step-by-step explanation:

A. Is false because citizens do not lose their citizenship if they fail to pay taxes.

B. Is false because not every tax paying citizen receives government assistance gets benifits like food stamps.

D. Is false because taxes don't go directly back to the people as cash payouts.

Answer:

The real answer is c.

Step-by-step explanation:

Taxes that we pay goes tords goverment things such as school. Smiles have a good day!

Determine if the result of each product is a positive or negative integer

Answers

1. negative
2. positive
3. positive
4. negative
5. positive

Answer:

1. -13x9= -117 Negative

2. 4x14= 65 Positive

3. -6x(-31)= 186 Positive

4. -18x(54)= 4374 Positive

5. 55x7= 385 Positive

Step-by-step explanation:

I NEED HELP PLZZ ANSWER PLUS GIVE STEPS

Answers

Answer:

1. y=-4/3x+9

2. y=-4x+6

Step-by-step explanation:

1.y=-4/3x+b

put in 3,5 into equation

5=-4/3(3)+b

5=-4+b

9=b

so y=-4/3x+9

2. y=4x+b

2=4(-1) +b

2=-4+b

6=b

y=-4x+6

Which phrases could n + 10 represent? Check all that apply.
the sum of a number and ten
the difference between a number and ten
a number plus ten
the difference between ten and a number
ten more than a number

Answers

The sum of a number and ten,

A number plus ten,

Ten more than a number.

Answer:

The sum of a number and ten

A number plus ten

Ten more than a number

Step-by-step explanation:

edg

this is algebra ,
what is the minimum unit cost?

Answers

Answer:

search it up

Step-by-step explanation:

A submarine hovers at 66 and two-thirds yards below sea level. If it ascends 24 and StartFraction 1 over 8 EndFraction yards and then descends 78 and three-fourths yards, what is the submarine's new position, in yards, with respect to sea level?

Answers

Answer:

- 121 7/24

Step-by-step explanation:

Initial Position = 66 2/3 below sea level

Ascent = 24 1/8

Descent = 78 3/4

New position of submarine :

Since initial. Position is below sea level, we finite with a negative sign :

-66 2/3 = - 200 /3

Ascent is positive ; 24 1/8 = 193 / 8

-200 /3 + 193 / 8

(-1600 + 579) / 24

= - 1021 / 24

Descent = 78 3/4 (negative) downward

78 3/4 = - 315/ 4

-1021 / 24 - 315/4

(-1021 - 1890) / 24

= - 2911 / 24

= - 121 7/24

121 7/24 below sea level

A wire is attached to a 425-foot tower that is perpendicular to the ground. The wire makes an angle of 26.5o to the ground. what is the length of the wire in feet

Answers

Answer

952.49feet

Step-by-step explanation:

This set up will be a right angled triangle

Height = opposite side = 425foot

Length of wire = hypotenuse= x

Angle of elevation= 26.5°

Using the SOH identity

Sin 26.5 = opp/hyp

Sin26.5 = 425/x

x = 425/sin26.5

x =425/0.4462

x = 952.49feet

Hence the length of the wire is 952.49feet

Let $r$ and $s$ be the roots of $3x^2 + 4x + 12 = 0.$ Find $r^2 + s^2.$

Answers

Use a similar strategy as in your other question, [19925664].

3x² + 4x + 12 = 3 (x - r ) (x - s)

3x² + 4x + 12 = 3 (x² - (r + s) x + rs)

3x² + 4x + 12 = 3x² - 3 (r + s) x + 3rs

so that

r + s = -4/3

rs = 12/3 = 4

Recall that

(r + s)² = r² + 2rs + s²

so that

r² + s² = -2rs = -2(4) = -8

Pls help I cant do this

Answers

Answer:

Here you go!

Step-by-step explanation:

Hope this helped!

Answer: a=7

d=2

Step-by-step explanation:

An airplane is flying from nyc to la. The distance it travels in miles,d, is related to the to the time in seconds, t, by the equation d=0.15t

Answers

Answer:

It will cover 4.5 miles in 30 seconds.

Step-by-step explanation:

An airplane is flying from nyc to la.

The distance it travels in miles,d, is related to the to the time in seconds, t, by the equation :

d=0.15t ...(1)

Let us assume we need to find the distance at t = 30 s.

Put t = 30 s in equation (1).

d=0.15 × 30

d = 4.5 miles

Hence, it will cover 4.5 miles in 30 seconds.

In a two digit number , the digits at tens place is 1 more than the digit at unit place .If the product of the digits is 20,find the numbers.​

Answers

The number I believe is 54

Energy can be transferred from one form to another. We use many energy converters in our daily life. Observe carefully to find these energy converters in your home. Make a list of any 10 converters including their names along with their energy chains.

Answers

The Sun transforms nuclear energy into heat and light energy.
Our bodies convert chemical energy in our food into mechanical energy for us to move.
An electric fan transforms electrical energy into kinetic energy.

Enter the correct answer in the box.
Consider this rational equation.
Use the least common denominator to simplify the rational equation into a standard form quadratic equation.
Replace the values of b and c to create the equation.

Answers

Answer:

[tex]x^2-10x+8=0[/tex]

Step-by-step explanation:

[tex]\frac{1}{x} +\frac{1}{x-2}=\frac{1}{4} \\\\\frac{x-2+x}{x(x-2)} = \frac{1}{4} \\\\\frac{2x-2}{x(x-2)}=\frac{1}{4} \\\\4(2x-2)=x(x-2)\\8x-8=x^2-2x\\0=x^2-2x-8x+8\\0=x^2-10x+8\\x^2-10x+8=0\\[/tex]

Using the least common denominator in simplifying the rational equation, the result of in standard form is: [tex]\mathbf{x^2 -10x + 8 = 0}[/tex]

What is the Least Common Denominator (LCD)?Least common denominator is the smallest common multiple of the denominators of two or more fractions.It is useful when simplifying, adding, subtracting or comparing fractions.

Given:

[tex]\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}[/tex]

The least common denominator of the two fractions on the left side of the equation is x(x - 2).

Thus:

[tex]\frac{1(x - 2) + x(1)}{x(x - 2)} = \frac{1}{4}\\\\\frac{x - 2 + x}{x(x - 2)} = \frac{1}{4}\\\\\frac{2x - 2}{x^2 - 2x)} = \frac{1}{4}[/tex]

Cross multiply

[tex]4(2x + 2) = 1(x^2 - 2x)\\\\8x + 8 = x^2 - 2x\\\\[/tex]

Rewrite in standard form

[tex]0 = x^2 - 2x - 8x + 8\\\\0 = x^2 -10x + 8\\\\\mathbf{x^2 -10x + 8 = 0}[/tex]

Learn more about least common denominator on:

https://brainly.com/question/542317

13 points!!

The table below shows the heights of five different people.
table shown below

Jackson has a height of 55 inches. Which is true if Jackson is added to the data set?

Answers

Answer:

The Mean Decreases.

Step-by-step explanation:

Answer:

the answer is Cindy and i dont understand what your trying to say but if your saying witch one is closer to  Jackson then yeah Cindy

Find the equation of the line
Use exact numbers
Y=blankx+blank

Answers

Step-by-step explanation:

The equation of the line is y = -1.5x + 3.

Carlos has 38 apples. He puts 8 apples into each bag if he fills as many bags as possible, how many apples are left

Answers

Answer:

6

Step-by-step explanation:

What you need to do is 38 ÷ 8. The answer would be 4 with a remainder of 6, so there are six apples left

what is the sum of all interior angles of a parallelogram

Answers

The sum of all interior angles of a quadrilateral is always 360
A parallelogram is a quadrilateral, so the answer is 360 degree so

At the beginning of the week, a stock was $82.73 per share.
On Monday, the stock gained $0.19 per share.

-On Tuesday, it gained $0.07 per share.

-On Wednesday, the stock lost $0.13 per share.

-On Thursday, it lost $0.25 per share.

On Friday morning, what was the price of the stock per share?

Answers

$82.87. You just add the first three to the starting price and subtract the last one

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

30

Step-by-step explanation:

3 multiply 5 =15

so:

6 multiply 5=30

Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____.. a. $8.20 b. $10.30 c. $12.30 d. $16.40 Please select the best answer from the choices provided A B C D

Answers

Step-by-step explanation:

The approximate tip is - 12.30$

Because bill is 81.79$

and tip - 15%

therefore bill amount divided by 15/100

==> 81.79* 15% is 12.30$

What is the solution to the equation 2/3x+1=1/6x-7?
O X=-16
O x=-4
O x=4
OX = 16

Answers

Answer:

The answer is x=-16.

Step-by-step explanation:

I cant give you the step by step explanantion but I can later! I hope this helps thoough!

There are 5 red markers, 2 orange markers, 3 yellow markers, and 5 green markers in a desk drawer.What is the probability of choosing a red marker?

Answers

1/3 I’m not positive but I think

Answer:

the probability is 5/12  or 0.416 or 41%

Step-by-step explanation:

Hope I helped!

Can someone please help even bubbling in with no work is ok I just don’t understand.

Answers

Answer:

This is as much as I could do.

Step-by-step explanation:

Steps r in pic below

Heyyyyy ah ha ha ‍ help I’m begging please someone god bless

Answers

Answer:

Step-by-step explanation:

Domain of a function is a set of x-values (input values) for which the function is defined.

Range of a function is a set of y-values (output values) for the given set of input values.

7). Domain → (-∞, ∞)

    Range → (-∞, ∞)

8). Domain → (-∞, ∞)

    Range → [-2, ∞)

9). Domain → [-2, 2]

    Range → [-3, 3]

10). Domain → (-∞, ∞)

    Range → [-1, 1]

Identify the domain of the function shown in the graph.
A. -5<x<5
B. 0<x<5
C. x is all real numbers.
D. x > 0​

Answers

Answer:

The answer is A choice.

Explanation:

By looking at the graph, we notice that at the left side, the domain/x-value stops at -5 and 5.

Thus, the domain is at the left end side to the right end side.

The domain stops at -5 on the left side and 5 on the right side. Thus the answer is

-5 < x < 5.

The A choice.

Understanding

The domain of a function is basically all the values where x is defined, and by defined, it means it has a y value corresponding to it. In this graph, x is defined from -5 to 5. If you look outside this range of numbers (from -5 to 5 on the x-axis) you will not find any y values for them. We can easily say the solution is A.

Solution:

[A] [tex]-5<x<5[/tex]

Note: From what I see from the picture -5 and 5 are included in the domain, either the question is incorrectly written, or the picture isn't clear enough. If so, the answer should be [tex]-5\leq x\leq 5[/tex].

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