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UkoKoshka [18]
2 years ago
9

a captain and co captain for a soccer team are chosen from a hat with the names of all 10 members in the hat. determine the prob

ability that Abbe is chosen as captain Morgan as co captain
Mathematics
1 answer:
vekshin12 years ago
8 0

Answer:

Abbe: 10%, or \frac{1}{10}

Morgan: 11.1% or \frac{1}{9}

(The 1 repeats forever)

Hope this helps!

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Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in
Vsevolod [243]

Answer:

r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2}  \\  = 2\pi \times 2 \times 5 + 2\pi {2}^{2}  \\  = 20\pi + 8\pi \\  = 28\pi \\  = 28 \times 3.14 \\  = 87.92 {unit}^{2}  \\ thank \: you

7 0
3 years ago
For the following telescoping series, find a formula for the nth term of the sequence of partial sums
gtnhenbr [62]

I'm guessing the sum is supposed to be

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}

Split the summand into partial fractions:

\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}

1=a(5k+4)+b(5k-1)

If k=-\frac45, then

1=b(-4-1)\implies b=-\frac15

If k=\frac15, then

1=a(1+4)\implies a=\frac15

This means

\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}

Consider the nth partial sum of the series:

S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)

The sum telescopes so that

S_n=\dfrac2{14}-\dfrac2{5n+4}

and as n\to\infty, the second term vanishes and leaves us with

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17

7 0
3 years ago
If 5 out of 25 people like chocolate ice cream, what percent of the people do not like chocolate ice cream
d1i1m1o1n [39]
100 - ((5÷25)x100),
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3 years ago
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Please, share the goal of the problem.  If Carrie works 40 hours per week and spends 15% of her time at the register, how much time does she NOT spend at the register?  

Subtract 15% from 100%; the result is 85%.  Now find 85% of 40 hours:

0.85(40 hours) = 34 hours.

Please note that I invented part of this problem.  Next time, share all of the info so that someone can help you solve YOUR particular problem.
3 0
3 years ago
A baseball weighs 5 ounces. How much do 6 baseballs weigh?
antoniya [11.8K]
This is a question that involves multiplication. If 1 baseball weighs 5 ounces, and you're trying to find out how many 6 weigh, multiply 5x6. The answer is 30. Hope this helps.
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3 years ago
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