279 is 33 1/2 of what amount

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Explanation:

Let's start off counting the number of ways to form the panel that doesn't have Allen or Joe on it. In other words, both are not on the panel.

There are 22 students, but we want to exclude 2 of them (Allen and Joe) from the panel. So in reality, we only have 20 students to pick from. There are 6 slots to fill.

The first slot has 20 choices

The second slot has 19 choices

The third has 18 choices

And so on. We count our way down until all six slots are filled. We'll have this sequence of six values: 20, 19, 18, 17, 16, 15

They multiply out to 20*19*18*17*16*15 = 27,907,200

This is the number of permutations where we choose 6 from a pool of 20.

With permutations, order matters; however, order doesn't matter on this panel. All we care about is the group overall.

So we must divide by 6! = 6*5*4*3*2*1 = 720 and we get

(27,907,200)/(720) = 38,760

There are 38,760 different combinations, so there are 38,760 different panels where neither Allen nor Joe are selected.

We'll use this later later, so let A = 38,760

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Now onto the next part. We need to count the total number of possible panels, and this time we're including Allen and Joe.

We have our original total of 22 students. There are still 6 seats to fill.

We could follow the same steps as the prior section, but I'll use a different route.

Let n = 22 and r = 6. Plug these values into the nCr combination formula below

[tex]_n C_r = \frac{n!}{r!*(n-r)!}\\\\_{22} C_6 = \frac{22!}{6!*(22-6)!}\\\\_{22} C_6 = \frac{22!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17*16!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6*5*4*3*2*1}\\\\_{22} C_6 = \frac{53721360}{720}\\\\_{22} C_6 = 74613\\\\[/tex]

There are exactly 74,613 ways to form a committee of 6 people from a pool of 22 total.

Let B = 74,613

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To find the probability of neither Allen or Joe are on the committee, we divide the values of A and B found earlier

A/B = (38,760)/(74,613) = 0.5194805

This value is approximate.

Rounding to three decimal places, or rounding to the nearest thousandth, leads to the final answer 0.519

There's roughly a 51.9% chance of forming a panel where neither Allen nor Joe are members.

Answer:

Their scores are 72, 73, and 74.

Step-by-step explanation:

(x-1) + x + (x+1) = 219

3x = 219

x = 73

Answer:

0-0 im sure your brother would love to marry you

Answer:

lol

Step-by-step explanation:

Answer: c

Step-by-step explanation:

3/4x = 21/2

Answer:

It's the third answer.

Step-by-step explanation:

Maths

Answer:

4

Step-by-step explanation:

7 + (-3)

= 7 - 3

Answer:

the answer is 4

Step-by-step explanation:

Answer:

independent

Step-by-step explanation:

Answer:

you have a 1 in 4 chance or 25% chance

Step-by-step explanation:

there is 20 balls and 5 are black, right? And if you do 5/20 it eachs 1/4 or 0.25.

Answer:

15.6 meters in a minute

Step-by-step explanation:

Here's why:

1 centimeter= 0.01 meter

So, if you have 26 cm, that equals 0.26 meters.

Now, we know that there are 60 seconds in a minute.

So, we have to do 0.26 times 60 which equals 15.6 meters.

I hope this helps you! :)

Answer: You have to save $128 more dollars.

Step-by-step explanation: The iPad costs $353 and you already have $225, so to find the answer you have you subtract what you already have from how much it costs. So 353 - 225 = 128. You need to save up $128 more dollars to get the iPad. (I think this is correct, I tried)

Answer:

it would probably be 7 hours

Answer: true

Step-by-step explanation:

right on edg

Answer:

765

44

81

1504

26

216

product

colourful stickers

27 x 3

684 and 820

Step-by-step explanation:

Answer:

the graph is (0,2)

Step-by-step explanation:

Answer:

468,119 < 486,191

Step-by-step explanation:

compare the left numbers. Four is equal to four, so go right. 6 is less than 8, so 468,119 < 486,191

Answer:

:⊃

Step-by-step explanation:

Answer: 80%

16/20=0.8

80%

I hope this is good enough:

Answer:

39,000

Step-by-step explanation:

Answer:

40,000

Step-by-step explanation:

Substitute x = 3 - 2 cos(θ) and dx = 2 sin(θ) dθ (where "sin" = "sen"). So we have

∫ sin(θ) / (3 - 2 cos(θ)) dθ = 1/2 ∫ 1/x dx

= 1/2 ln|x| + C

= 1/2 ln(3 - 2 cos(θ)) + C

(We can remove the absolute value because -1 ≤ cos(θ) ≤ 1, so 1 ≤ 3 - 2 cos(θ) ≤ 5, and |x| = x when x ≥ 0.)

Answer: a

Step-by-step explanation:

Answer:

-360

Step-by-step explanation:

Use PEMDAS

Answer:

-$11.59

Step-by-step explanation:

Bank account balance = -$58.44

Deposit $46.85.

New balance = Deposit + Bank account balance

New balance = $46.85 + -$58.44

New balance = $46.85 - $58.44

New balance = -$11.59

Answer:

5 inches

Step-by-step explanation:

formula for cube volume is l^3

so 5^3 is equal to

5 x 5 x 5

which is

25 x 5

equals

125

Hope this helps!

Answer:

5 inches

Step-by-step explanation:

V=a^3

5^3 is 125 so the answer is 5

Answer:

4c+6≤−10

4c+6−6≤−10−6 ... subtract 6

4c≤−16...divide both sides by 4

final: c≤−4

5c-3>2

5c-3>2...add 3

5c>5...divide by 5

c>1

Answer:-0.6

Step-by-step explanation:

thank me later lol

Answer:

1. Train B is faster

Step-by-step explanation:

Train b travels a greater distance in 2 hours than train A.

Train B travels 250 miles in 2 hours, while Train A travels only 120 miles.

Answer:

y=1/3x-2/5

Step-by-step explanation:

Answer: -6

Step-by-step explanation: the answer that's correct is -6. trust me. If you got it correct mark me brainlest.

Answer:

Ancwer is C

Step-by-step explanation:

Answer:

n= -7

Step-by-step explanation:

subtract 3 from both sides,-6n=42,divide both sides by -6

Answer:

[tex]\boxed{n = - 7}[/tex]

Step-by-step explanation:

[tex] \boxed{you \: solve \: by \: making \to n :} \\ the \: subjet \: of \: the \: equation \to \: \\ it \: means \: making \: \to \: n : to \: stand \: on \: its \: own \to \\ - 6n + 3 = 45 \\ - 6n = 45 - 3 \\ - 6 n= 42 \\ \frac{ - 6}{ - 6} n = - \frac{42}{6} \\ \boxed{n = - 7}[/tex]