Answer:
41/28
Step-by-step explanation:
mixed form is 13/28*1
follow me please.
There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2 of the 22 students, then what is the probability that neither will be selected to be on the panel?
Round your answer to three decimal places.
==========================================
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
------------------------------------------------------
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.
which expression is equivalent to the given expression 4(a-3)
-8a
4a-12
4a-3
-4(a+30
Answer:
4a-12
Step-by-step explanation:
4(a-3)=4a-4×3=4a-12
What is the slope of the line that passes through the points (48, 10) and (-36, 17)?
Answer:
Step-by-step explanation:
y2-y1/x2-x1
17-10
-36-48
-7/84, but this can be simplified, you can take a 7 out of each.
-1/12 is your simplified slope
Answer:
m = 7 / -84 = 1 / -12 = -0.08333
Step-by-step explanation:
y = -0.08333x + 14.
- I hope this helps have a great day!
Simplify expression giving brainliest to first correct answer
Answer: a
Step-by-step explanation:
Answer:
-360
Step-by-step explanation:
Use PEMDAS
help meeeeee plsssss
Solve the equation -2(y-1)=9
Someone help me please
Answer:
It's the third answer.
Step-by-step explanation:
Maths
What value of x is in the solution set of 9(2x + 1) < 9x - 18?
A. -4
B. -3
C. -2
D. -1
Answer:
b. -3
Step-by-step explanation:
9(2x+1) < 9x-18
(distribute the 9)
18x+9 <9x-18
(subtract 9 from both sides)
18x<9x-27
(subtract 9x from both sides)
9x<-27
(divide both sides by 9)
x<-3
-42/7 what is the answer
Answer: -6
Step-by-step explanation: the answer that's correct is -6. trust me. If you got it correct mark me brainlest.
In a bag of 20 balls, 2 are pink, 7 are green, 4 are white, 5 are black, and 2 are orange. If the first ball chosen is
pink and not replaced, what is the probability that the next ball is black?
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.
whats 7/12 divided by 2
Answer:
7/24
Step-by-step explanation:
Answer:
7/12×1/2
7/24
0.291
hope this is correct
38,503 rounded to the nearest ten thousand
Answer:
39,000
Step-by-step explanation:
Answer:
40,000
Step-by-step explanation:
Write an equation and solve. You are saving money to buy a new iPad that costs $353. You have saved $225. How much more money do you need to save?
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)
integral rational trigonometric
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.)
Marry me, Im a pan tomboy, real short sadly ;v;, and my brother hops on sometimes so marry me?
Answer:
0-0 im sure your brother would love to marry you
Answer:
lol
Step-by-step explanation:
Need help ?:!:!?????????
Answer: 80%
16/20=0.8
80%
I hope this is good enough:
your bank account is -$58.44. you deposit $46.85. what is your new balance?
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
find the angle YWX.
Answer:
34
Step-by-step explanation:
9x-28 = 5x-8
4x = 20
x = 5
5 times x(aka 5) minus 8=17
9 times x(aka 5) minus 28=17
17+17
ywx=34
The value of the angle YWX will be 34.
What is geometry?One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that the two angles ZWY and ZWX are ( 9x - 28 ) and ( 5x - 8 ) respectively,
The angle will be calculated as:-
9x-28 = 5x-8
4x = 20
x = 5
The angle YWX will be the sum of the angles YWZ and XWZ.
YWX = ( 9 x 5) -28 + ( 5 x 5 ) - 8
YWX = 45 - 28 + 25 - 8
YWX = 17 + 17
YWX = 34
Hence, the measure of the angle YWX is 34.
To know more about geometry follow
https://brainly.com/question/25766008
#SPJ2
Which equation represents the following word problem? Grace is making a cake. The recipe calls for 21/2 cups of flour. If she has already added 3/4 of a cup into the bowl, how much more flour will she need to add? Let x be the number of cups she needs to add.
A) x+3/4 = 22/2
B) x-3/4=27/2
C) 3/4x = 21/2
D) X/13/4)
Answer: c
Step-by-step explanation:
3/4x = 21/2
Three good friends are in the same algebra class. Their scores on a recent test are three consecutive integers whose sum is 219???
Answer:
Their scores are 72, 73, and 74.
Step-by-step explanation:
(x-1) + x + (x+1) = 219
3x = 219
x = 73
Find the slope of x 0 2 4 8 Y 0 12 24 48
Which is the graph of f(x) = 2 Square root negative X
Answer:
the graph is (0,2)
Step-by-step explanation:
-6n + 3= 45
how do you solve this
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]
A cube has a volume of 125 square inches. What is the length of each edge?
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
Simplify 7 + (-3)
Answers: -10 or -4 or 4 or 10
Answer:
4
Step-by-step explanation:
7 + (-3)
= 7 - 3
Answer:
the answer is 4
Step-by-step explanation:
school uniform shirt normally cost $15 each but are on sale for 30% off the original price. You also have a coupon before you take the percent discount. If you have $150 to spend, which of the following equations will help you to determine how many shirts, x, you can buy
Answer:
125 shirts
Step-by-step explanation:
f(x) = 2 sin x- tanx is not a sinusoid.
Answer: true
Step-by-step explanation:
right on edg
Julie sent 200 emails last month. This month she sent 40% less. How many
emails did she send this month?
Answer:
She sent 120 emails this month.
Step-by-step explanation:
Multiply 200 by .60 (60 percent) and it will give you 120.
I used 60 instead of 40 because the problem said 40 percent less, NOT 40 percent of 200.
List all 9 integers between -3.5 and 5.5
Answer:
-3, -2, -1, 0, 1, 2, 3, 4 and 5. is the answer
Integers are numbers that don't have any fractional or decimal portions to them. They include negative values as well as positive ones, and zero as well. Use a number line if needed.
help please and thank you 0
Answer:
765
44
81
1504
26
216
product
colourful stickers
27 x 3
684 and 820
Step-by-step explanation: