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fenix001 [56]
3 years ago
11

A volleyball player’s serving percentage is 90%. Six random serves are selected. What is the probability that 5 of those serves

were successful?
0.09
0.35
0.59
0.90
Mathematics
1 answer:
Kryger [21]3 years ago
7 0

Answer:

C (.35) on edge2021! :)

Step-by-step explanation:

for this problem we use the formula <u>P(X = k) = (n over k)p^k(1-p)^n-k</u> and in this case,

k = 5

n = 6

p = .90

and (n over k), n choose k, is calculated by (n! / k!(n-k)!) or just look up "6 choose 5" and you'll figure out that it's equal to 6.

so you end up with P(X = 5) = 6(.90)^5(1-.90)^6-5 which will give you .35 when put in a calculator.

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Given points Y(-9,3) and Z(1,-6) find.the distance of YZ
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Step-by-step explanation: Use the distance formula to find the distance between two points.

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Wholesale Price $9.60 Markup 25% <br> what is the $Markup and Retail Sale Price.
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12.00

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3 years ago
Manav is painting a rectangular room and the dimensions of this room are given by x,y and z feet. Manav takes 8 hours to paint a
zhenek [66]

Answer:

B) 36 cubic feet

Step-by-step explanation:

Dimensions of the room are x, y and z feet. It is given that x = 6 feet.

Manav took 8 hours to paint the wall with dimensions x and z.

This means, in 8 hours Manav painted area = xz = 6z

In 1 hour Manav painted area = \frac{6z}{8}

Manav took 4 hours to paint the wall with dimensions y and z.

This means, in 4 hours Manav painted area = yz

In 1 hour Manav painted area = \frac{yz}{4}

Manav took 12 hours to paint the ceiling with dimensions x and y.

This means, in 12 hours Manav painted area = xy = 6y

In 1 hour Manav painted the area = \frac{6y}{12}=\frac{y}{2}

Since, Manav works at constant rate, this means the worked done in 1 hour in all 3 cases would be the same. So we can write:

\frac{6z}{8}=\frac{yz}{4}=\frac{y}{2}

Using the first two equations, we get:

\frac{6z}{8}=\frac{yz}{4}\\\\ \frac{6}{8}=\frac{y}{4}\\\\ y=\frac{6}{8} \times 4\\\\ y = 3

Using the last two equations, we get:

\frac{yz}{4}=\frac{y}{2}\\\\ \frac{z}{4}=\frac{1}{2}\\\\z=2

So, we have the follwoing dimensions of the room:

x = 6 feet

y = 3 feet

z = 2 feet

So the volume of the room is =  6 x 3 x 2 = 36 cubic feet

7 0
3 years ago
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