To make a committee 4 men are chosen out of 6 candidates. What is the probability that 2 certain people will serve on that committee

Answers

Answer 1

Answer:

The probability that 2 certain people will serve on that committee is 11.11%.

Step-by-step explanation:

Since to make a committee 4 men are chosen out of 6 candidates, to determine what is the probability that 2 certain people will serve on that committee the following calculation must be performed:

4/6 = 2/3

1/3 x 1/3 = X

0.333 x 0.333 = X

0.1111 = X

Therefore, the probability that 2 certain people will serve on that committee is 11.11%.

Answer 2

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

6 groups, and 4 certain people

6

   C

        4

[tex]\frac{6!}{(6-2)!(2!)}[/tex]

1 × 2 × 3 × 4 × 5 × 6/1 × 2 × 3 × 4 × 1 × 2

1 × 2 × 3 × 4 × 5 × 6/1 × 2 × 3 × 4 × 1 × 2

5 × 6/ 1 × 2

30/2 = 15

15 possible combinations

4 people, and 2 specific ones

4

   C

        2

[tex]\frac{4!}{(4-2)!(2!)}[/tex]

1 × 2 × 3 × 4/1 × 2 × 1 × 2

1 × 2 × 3 × 4/1 × 2 × 1 × 2

12/2 = 6

[tex]\frac{6}{15}=\frac{\frac{6}{3} }{\frac{15}{3} } =\frac{2}{5}[/tex]


Related Questions

what is 6 cm and 7 mm converted to

Answers

Answer:

converted to what?

Step-by-step explanation:

This function is _____over the interval
[tex]x < - 1[/tex]


This function is_____ over the interval l
[tex] - 1 < x < 1[/tex]



Select all of the possible degrees of this polynomial function
2
3
4
5​

Answers

Answer:

the answer to this question is 1

Step-by-step explanation:

the reason to that is because when the line goes over 2 and -2.

Answer:

first part is decreasing and increasing

second part is 3 and 5

Step-by-step explanation:

edg 2021

What is the difference between the temperature - 7 Celsius and - 12 Celsius on a scatter diagram

Answers

Answer:

Sự khác biệt giữa nhiệt độ - 7 độ C và - 12 độ C trên biểu đồ phân tán là gì

Step-by-step explanation:

graph f(x)= - square root -x

Answers

Answer:

1333

Step-by-step explanation:

WILL MARK BRAINLIEST!!

Answers

Answer:

x=10

Step-by-step explanation:

[tex]\frac{3}{3}[/tex]=[tex]\frac{x+3}{13}[/tex]

Solve by cross multiplying

13×3=39

3(x+3)=3x+9

3x+9=39

3x=30

x=10

Answer:

x=10

Step-by-step explanation:

Assuming that the triangles are similar to each other, you can set up ratios

[tex]\frac{3}{3}=\frac{13}{x+3}[/tex]

since 3/3 is 1 and we know that anything other than 0 over itself is 1, we can deduce that x=10

The American National Standards Institute specifications state that the
maximum slope of a wheelchair ramp should be one twelfth i.
The new ramp measures 5 feet high at its highest point and stretches
50 feet horizontally. Will this ramp pass specifications?

Answers

Answer:

No.

Step-by-step explanation:

Given that :

Maximum accepted Ramp slope = 1/12

A new ramp with :

Height range = 5 feets

Horizontal stretch = 50 feets

Th slope = Rise / Run = Height range / horizontal stretch = 5 / 50 = 1 / 10

1 / 10 > 1 / 12

This means the new ramp's slope is greater than than the maximum slope specification ; and hence not acceptable

Can you please help me

Answers

Answer:

you will type your answers and send

Answer:

Step-by-step explanation:

⅔-2/5 = 4/15

Annie bought a 2 3/4 pound roast for the family dinner. A total of 9 people will be at dinner. How many pound of roast will each person get if the roast is divided up equally?

Answers

Answer:

11 /36 of a pound

Step-by-step explanation:

Take the pounds and divide by the number of people

2 3/4 ÷ 9

Change the mixed number to an improper fraction

(4*2+3)/4 ÷9

11/4 ÷9

Copy dot flip

11/4 * 1/9

11/36

A CD in the financial sense is
A.
a certificate of deposit
B.
a record of your transactions
C.
a
checking account
D.
a small savings account

Answers

Answer:

Step-by-step explanation:

Answer:

A, Certificate of Deposit

Step-by-step explanation:

Just got it right on Gradpoint

Given the coordinates of two points on a line, explain two methods to determine the slope of the line.

Answers

Answer:

Step-by-step explanation:

1. Use the slope formula (y2 - y1 / x2 - x1)

2. Use the graph. Take two points and count the rise over the run.

Jordan Bikes 4/3 miles in 1/10 hours. whats is his speed in miles per hour?

Answers

Answer:

40/3

Step-by-step explanation:

1 thing we have to know for this question

• Speed Formula

•••••••••••••••••••••••••••••••

• Speed Formula: speed = distance/
•••••••••••••••••••••••••••••••

Speed = distance/time
Speed = 1 1/3/1/10
Speed = 40/3

The pie chart shows student participation in fundraisers
at Mountain View Middle School.
Mountain View Middle School
Fundraisers
Which describes a bar diagram showing the percent of
students who participated in dances?
1 shaded square out of 10 squares
2 shaded squares out of 10 squares
3 shaded squares out of 10 squares
4 shaded squares out of 10 squares
20
Carnival
Car Wash
Bake Sale
Talent Show
10
50
5
15
Dances

Answers

If you add all of the numbers up, you get 100. Dances are colored purple, and that is 20. 20/100 simplified is 1/5. 1/5 is equivalent to 2/10. Therefore, the answer is 2 shaded squares out of 10 squares.

Answer:

Step-by-step explanation:

If you add all of the numbers up, you get 100. Dances are colored purple, and that is 20. 20/100 simplified is 1/5. 1/5 is equivalent to 2/10. Therefore, the answer is 2 shaded squares out of 10 squares.

what is the solution for this equation?

In(x+6)-in(2x-1)=0

answers in the image!

Answers

Answer:

x=7

Step-by-step explanation:

ln(x+6)-ln(2x-1)=0

add ln(2x-1) to each side

ln(x+6) = ln(2x-1)

Raise each side to the base e

e^ln(x+6) = e^ln(2x-1)

x+6 = 2x-1

Subtract x from each side

x+6-x = 2x-1-x

6 = x-1

Add 1 to each side

6+1 = x-1+1

7=x

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]

[tex]\sf ln(x+6)-ln(2x-1)=0\\\\\tt ln(x+6)=ln(2x-1)\\\\ \sf e^{ln(x+6)}=e^{ln(2x-1)}\\\\ \tt x+6=2x-1\\\\\sf 2x-1=6+1\\\\\bold x=7[/tex]

what is 4 9/6 as a mixed number

Answers

Answer:

33

Step-by-step explanation:

6x4+9= 33

33 would be ur answer i think :)

What is the product?
(x^4)3x^3-2)(4x^2 +5x)?

Answers

Answer:

[tex]{ \tt{( {x}^{4})(3 {x}^{3} - 2)(4 {x}^{2} + 5x) }} \\ = { \tt{( {x}^{4})( {12x}^{6} + 15 {x}^{4} - 8 {x}^{2} - 10x) }} \\ = { \tt{( {12x}^{24} + {15x}^{16} - {8x}^{8} - {10x}^{5} ) }}[/tex]

Answer:

[tex]\left(x^4\right)\left(3x^3-2\right)\left(4x^2+5x\right)[/tex]

[tex](3x^{3} -2)(4x^{2} +5x)[/tex]

[tex]12x^5+15x^4-8x^2-10x[/tex]

[tex]\left(x^4\right)\left(12x^5+15x^4-8x^2-10x\right)[/tex]

[tex]=12x^9+15x^8-8x^6-10x^5[/tex]

Therefore, A is your answer

~~OAmalOHopeO

How many solutions will each system of linear equation have?

Answers

Answer:

The top system of equations has one solution, the middle system has infinitely many, and the bottom system has no solution.

Step-by-step explanation:

We can immediately see the top system has one solution because the two equations have different slopes.

For the middle system, we can rearrange terms and multiply by 3 to get that the equations are the same line, so there are infinitely many solutions.

Finally, we can move the -2x to the other side in the first equation of the bottom system to get 2x+y=5. But it also equals -7 from the second equation! This is impossible, so there are no solutions to the bottom system.

A pooled variance is an estimated weighted variance made up of several different populations when the mean of each population may be different, but one may assume that the variance of each population is the same.

a. True
b. False

Answers

Answer:

True

Step-by-step explanation:

Considering the above definition of Pooled Variance, the correct answer is TRUE.

This is because Pooled variance is used to determine the reasonable estimates of variance, where several repeated tests are expected at each value.

This helps to provide greater precision estimates of variance.

Give brainiest if right!


Marina spent $13.50 at the grocery store. She bought pears,

kiwis, and pineapples. Pears cost $0.50 each, pineapples cost

$1.50 each, and kiwis are $0.30 each. How many of each kind of

fruit did she buy if she bought 9 more pears than pineapples and

2 fewer kiwis than pears?

Answers

Answer:

Step-by-step explanation:

First we are going to set up our general equation (what is being asked of us). Marina bought pears, pineapples, and kiwis and spent $13.50 on them. The equation for that is

pi + pe + k = 13.5

Now we need to figure out how to eliminate most of those unknowns and put 2 of them in terms of the other 1. It looks like everything is based on the number of pineapples she bought. First it says she bought 9 more pears than pineapples, so obviously, there are more pears than pineapple, so

pe = pi + 9

And if she bought 2 fewer than kiwis thatn pears, and pears = pi + 9, then the number of kiwis she bought was

kiwis = (pi + 9) - 2 which simplifies down to pi + 7.

Now we'll put all of those into the equation:

pi + (pi + 9) + (pi + 7) = 13.5 What I have done is create an equation that is not parallel. In other words, I have the NUMBER of the kinds of fruit on one side of the equation, and the COST of the fruit on the other side, and that's not cool. We have to have EITHER a NUMBER of fruit equation OR a COST of fruit equation, but not both in the same equation. To amend that, we will figure in the cost of each of these kinds of fruit by the correcpsonding number of that kind of fruit. Pineapples cost $1.50 each, so the expression for pineapples is 1.5pi; pears cost $.50 each, so the expression for pears is.5(pi + 9); kiwis cost $.30 each, so the expression for kiwis is .3(pi + 7). NOW we can set up the equation:

1.5pi + .5(pi + 9) + .3(pi + 7) = 13.5 and simplify:

1.5pi + .5pi + 4.5 + .3pi + 2.1 = 13.5 and simplify some more by combining like terms:

2.3pi = 6.9 so

pi = 3. Ok we have 3 pineapples. Now we go back up to the expression for pears:

pe = pi + 9 so

pears = 12. Now we go back to the expression for kiwis:

k = pi + 7 so

kiwis = 10. And there you go!

HELPPP I need help ASAP please help me

Answers

9514 1404 393

Answer:

  the first is two points; the second is the interval between (and including) those two points

Step-by-step explanation:

The equation ...

  4 = |x +5|

has two solutions:

  x ∈ {-9, -1}

__

In the interval between those two solutions the absolute value expression is less than 4. So, the second expression has a solution that is a range of values. Those values are in the interval whose boundaries are -9 and -1.

  x ∈ [-9, -1]

__

The solution to the second expression can be found as ...

  4 ≥ |x +5|

  4 ≥ x+5 ≥ -4 . . . . express as a compound inequality

  -1 ≥ x ≥ -9 . . . . . . subtract 5

__

The attached graph shows the two solutions. The solution to the first equation is the pair of (black) lines, x=-9 and x=-1. The solution to the second equation is the (orange) shaded interval -9 ≤ x ≤ -1.

In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5,8)?
1
y=0.5x - 10.5
O 2
y = -0.5x + 10.5
3
y = 2x + 10.5
4
y = -2x - 10.5

Answers

Answer:

2

y = -0.5x + 10.5

Step-by-step explanation:

put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular

2

y = -0.5x + 10.5

What value of x makes the equation 3x +7=22

Answers

Answer:

x = 5

Step-by-step explanation:

Your goal is to isolate x

3x + 7 = 22

Subtract 7 from both sides and you are left with

3x = 15

In order to isolate x divide both sides by 3

x = 5

Yanni read 24 pages of
a book. One third of the book is
still left to read. How many
pages are there in the
whole book?

Answers

Answer:

36 pages

Step-by-step explanation:

If one third of the book is left to read until completion, then Yanni has read two thirds of the book so far.

24 pages is equal to two thirds, so one third will be half of this; 12 pages.

The whole book is three thirds, so 12 * 3, which is 36 pages

Answer:

di gun0ifulgwuytid5

Step-by-step explanation:

DJ e57

Help me please :) giving brainliest

Answers

Answer:

2.5

Step-by-step explanation:

You can change the equation from multiplication to division to get rate or time. We need the rate, so the equation should look like this now:

[tex]Distance/Time=Rate[/tex]

Now, we need to plug in the numbers we have...

[tex](5)/(2)=Rate[/tex]

...and solve for Rate:

[tex]Rate=2.5[/tex]

Need help! Thank you :)

Answers

Answer:

The value of [tex]x[/tex] is 10.

Step-by-step explanation:

Both angles ABC and CBD are complementary, that is, the sum of the measures of both angles equals 90°, that is:

[tex]\angle ABC + \angle CBD = 90^{\circ}[/tex] (1)

If we know that [tex]\angle ABC = 5\cdot x[/tex] and [tex]\angle CBD = 4\cdot x[/tex], then the value of [tex]x[/tex] is:

[tex]5\cdot x + 4\cdot x = 90^{\circ}[/tex]

[tex]9\cdot x = 90^{\circ}[/tex]

[tex]x = 10[/tex]

The value of [tex]x[/tex] is 10.

What is the quadratic regression equation that fits these data?

Answers

9514 1404 393

Answer:

  D.  y = -0.32x² -1.26x +15.81

Step-by-step explanation:

This is one of those multiple-choice questions where you only need a vague idea of what the answer is supposed to look like.

In this case the answer must be a quadratic equation with a negative leading coefficient. (The parabola opens downward.)

The only answer choice that is a 2nd degree polynomial with a negative leading coefficient is choice D.

__

A: linear equation

B: exponential equation

C: quadratic that opens upward (positive leading coefficient)

D: quadratic that opens downward -- the answer you're looking for

A car has 2gallons of gas. The car gets 30miles/gallon. Enter the conversion factor

Answers

60 miles til the car needs more gas.

The car will run 60 miles on 2 gallons of gas.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that A car has 2 gallons of gas. The car gets 30 miles/gallon.

The run of the car will be calculated as,

1 gallon = 30 miles

2 gallons = 30 x 2 miles

2 gallons = 60 miles

Therefore, the car will run 60 miles on 2 gallons of gas.

To know more about an expression follow

https://brainly.com/question/13363911

#SPJ2

Write expression with two terms that is equivalent to the expression shown. 4(2x + 11 - x)

Answers

Answer:

4x + 44

Step-by-step explanation:

4(2x + 11 - x) =

8x + 44 - 4x =

4x + 44

Which expression is equivalent to the following complex fraction?

Answers

Answer:

Option B

Step-by-step explanation:

Answered by Gauthmath

lmk if you don't understand my handwriting


What is the value of the expression below when w =
9 and x = 2?
w – 4x

Answers

Answer:

1

Step-by-step explanation:

w - 4x
(9) - 4(2)
9 - 8 = 1

Mark me as brainliest!

Which polynomial is prime?
Plz help!

Answers

B I’m pretty sure xx
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