find the lengths of the missing side . Simplify all radicals !!!
help mee!!!!!!

Given:

Total number of members = 30

Number of democrats = 12

Number of republicans = 18

To find:

Number of different committees consisting of 8 democrats  and 8 republicans are possible to be formed.

Solution:

Total number of ways to selecting 8 democrats  from 12 democrats  is

[tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}[/tex]

[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9\times 8!}{8!4!}[/tex]

[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9}{4\times 3\times 2\times 1}[/tex]

[tex]^{12}C_8=495[/tex]

Total number of ways to selecting 8 republicans from 18 republicans  is

[tex]^{18}C_8=\dfrac{18!}{8!(18-8)!}[/tex]

[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11\times 10!}{8!10!}[/tex]

[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11}{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}[/tex]

[tex]^{18}C_8=43758[/tex]

Now, number of different committees consisting of 8 democrats  and 8 republicans are possible to be formed is

[tex]^{12}C_8\times ^{18}C_8=495\times 43758[/tex]

[tex]^{12}C_8\times ^{18}C_8=21660210[/tex]

Therefore, the total possible ways are 21660210.

Answer:

Your answer is going to be 17/18.

Step-by-step explanation:

You are going to put the fractions in improper form, giving you 17/4 and 9/2. Then you are going to use the saying KCF Keep Change Flip.

(17/4)(2/9)

34/36

17/18

Answer:

No

Step-by-step explanation:

-8 is less than -4. Negative numbers reverse the logic of positive ones: since positive 8 is more than positive 4, negative 8 is less than negative 4.

Answer:

y=4x+11

Step-by-step explanation:

y=mx+b.          

-1=4(-3)+b

-1=  -12+b

+12 +12

11=b

Answer:

y = 4x + 11

Step-by-step explanation:

Answer:

(-5,9),(3,0)

(0,1),(1,0)

(1,2),(3,4)

Step-by-step explanation:

I hope this helps!

Answer: It's 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1. The sphere has a radius of 4 cm.

3. The diameter length is twice the length of the radius.

6. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

Answer:

f(x) is continuous on the interval [0, 1], f(0) = -2 , and f(1) = 1.718 . Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)

Step-by-step explanation:

From the question we are told that

   The equation is [tex]f(x) = e^x - 3-2x [/tex]  

    The interval is  [0, 1]

Generally f(0) is  

      [tex]f(0) = e^0 - 3-2(0) [/tex]

=>   [tex]f(0) = 1 - 3-2(0) [/tex]  

=>    [tex]f(0) = -2[/tex]  

Generally f(1) is

       [tex]f(1) = e^1 - 3-2(1) [/tex]

       [tex]f(1) = e^1 - 1 [/tex]

       [tex]f(1) = 1.718 [/tex]

From the value we see that at x =  0  , f(0) =  -2 which is below the x-axis

    and  the  at  x = 1  , f(1) =  1.718  which is above the x-axis

Now  the according to Intermediate Value Theorem , given the condition stated above, there will exist a root c in the interval  such that

    f(c) =  0  

Answer:

to what

Step-by-step explanation:

i can't see the question

Answer:

The answer is .5

Step-by-step explanation:

Answer:

The correct answer is 0.5

Step-by-step explanation:

You have to do 0.125 (0 successes) plus 0.375 (1 success). This is equal to 1/2

This is correct on edge.

Answer:

The percent is 75%

Step-by-step explanation:

Ratio of number of classes and the time taken to conduct each one of them on Thursday = 6 : 8

Ratio of number of classes and the time taken to conduct each one of them on Friday = c : 4

Which means :-

6 : 8 :: c : 4

6/8 = c/4

= 6 × 4 = c × 8

= 24 = 3 × 8

c = 3

The ratio = 6 : 8 :: 3 : 4

Which means that C = 3 .

3)9.375 and 12 is )37.5

Answer:

yes, it would change because the place value

Answer:

-2/3

Step-by-step explanation:

Here, we need to rearrange the equation into slope intercept form:

[tex]2x + 3y = -12[/tex]

subtract 2x on both sides:

[tex]3y = -2x-12[/tex]

divide 3 on both sides:

[tex]y = \frac{-2}{3} x + 4[/tex]

Finally, we get it in the form y = mx + b. We know that in that form, m is the slope so that means, the slope is -2/3

6 candy boxes

Step-by-step explanation :

Since they both bought their own popcorn that means they both spent $8 on popcorn making that a total of $16. Therefore we now only need to find one variable which is the number of candy boxes that they bought in order to reach the $25 total that they spent. This variable can be represented as x in the following algebraic equation.

(2*8) + 1.50x = 25

16 + 1.50x = 25 ... subtract 16 from both sides

1.50x = 9 ... divide both sides by 1.50

x = 6

Finally, we can see that Billy and Tommy bought a total of 6 candy boxes.

Answer:

This is the answer on Delta Math

Step-by-step explanation:

Answer:

There are 7 ten-dollar bills and 16 five-dollar bills.

Step-by-step explanation:

Let's call:

T: Number of ten-dollar bills

F: Number of five-dollar bills

The amount of money withdrawn from the ATM is $150:

10T+5F=150

Dividing by 5:

[tex]2T+F=30\qquad\qquad [1][/tex]

We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:

[tex]F=2+2T\qquad\qquad [2][/tex]

Substituting [2] into [1]:

2T+2T+2=30

Rearranging:

2T+2T=30-2

Simplifying:

4T=28

Solving:

T=28/4=7

From [2]:

F=2+2*7=2+14=16

There are 7 ten-dollar bills and 16 five-dollar bills.

Answer:

1 out of 6

Step-by-step explanation:

no matter how many times you roll it the chances will always be the same

Answer:

there is a 1/6 chance

Step-by-step explanation:

there are 216 total combinations but only 36 combinations that end in 5.

36/216 = 1/6.

Hope this helps!

Answer:

y= (0, .7)

x= (-1.2, 0)

Step-by-step explanation:

r u taking a test?

Answer:

C.

Step-by-step explanation:

All the x-values are different and go to one y-value.

Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value

A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

According to the question

Set of ordered pairs represent a function :

(-1,5), (0, -3), (2, 7), (4,0), (7, 5)

As we can observe that every point have different x value for there respective y ,

and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value

To know more about  ordered pairs in sets here:

https://brainly.com/question/12941484

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Answer:

oy-5=1 ( x-30)

Step-by-step explanation:

jernardia is dumb as heck

Answer:

d. 1

Step-by-step explanation:

it is called linear because β0, β1, . . ., βp all have their exponents to be 1. A multiple linear regression is a type of regression which has more than one independent variable. it tells us the existing relationship between 2 or more of these independent variables on the dependent variable. for it to be regarded to be linear, it is very important that the exponents be equal to 1. else it could be quadratic.

Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986

Answer:

Step-by-step explanation:

1/2

Answer:

No, because an expression is already solved and an equation is where you have to solve it

Step-by-step explanation:

Answer:

No as said you have to solve and equation yet an expression is already solved for your viewing.

Step-by-step explanation:

Answer:

y=3x-2 is a function because it passes the vertical line test.

Step-by-step explanation:

The given equation y² = - 3x - 2 represents a function.

A function is  the relation between two sets. The first one is called domain and the second one is called range.

Given, y² = - 3x - 2

For x = 0, y = √(- 3 × 0 - 2) = √(-2)

For x = 1, y = √(- 3 × 1 - 2) = √(-5)

For x = -1, y = √[- 3 × (- 1) - 2) = ± 1

For any value of 'x' in the domain, 'y' has at least a value in the range.

Hence, the given equation represents a function.

Learn more about a function here: brainly.com/question/3951330

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What are the expressions?

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)