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Evgen [1.6K]
2 years ago
8

A bag contains 7 red marbles, 5 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the probabi

lity, to the nearest 1000th, that all three marbles drawn will be red?
Mathematics
1 answer:
Korvikt [17]2 years ago
4 0

Answer:

<h3>0.063</h3><h2>Step-by-step explanation:</h2>

<h3>probability is defined as the measure of chances of events happening or chances of occurrence.The probability that an event can happen is zero(0)</h3><h3>Probability can be calculated using the formular: number of required outcome all over number of total possible outcome.</h3>

Probability of 3 red = 7/16 x 6/15 x 5/14 = (7)(6)(5)/(16)(15)(14)=

6x5/16x15x2 = 5/16x5= 1/16 = (1/2)(.125) = 0.0625

Probability of 3 reds = 0.0625

round off to thousandths Pr(3R) = 0.063

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A pump can fill a swimming pool in 8 hours. The pool also has a drain that can empty the pool in 10 hours. If someone turns on t
cluponka [151]

Answer:

40 hours will it take for the pool to fill.

Step-by-step explanation:

A pump can fill a swimming pool in 8 hours.

Work done by pump to fill in 1 hour is  \frac{1}{8}

The pool also has a drain that can empty the pool in 10 hours.

Work done by pump to drain in 1 hour is  \frac{1}{10}

If someone turns on the pump to fill the pool, but forgets to shut the drain.

Work done by both pipe in 1 hour is

W=\frac{1}{8}-\frac{1}{10}

W=\frac{10-8}{80}

W=\frac{2}{80}

W=\frac{1}{40}

Both pipe filled \frac{1}{40} part of pool in hours = 1

Both pipe filled complete pool in hours = \frac{1}{\frac{1}{40}}=40

Therefore, 40 hours will it take for the pool to fill.

7 0
3 years ago
Which equation represents a line that is parallel to y = -2x - 5?
umka21 [38]

Answer:-2x+y=-5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
746399÷6152878474647474747747493​
Alex73 [517]

Answer:

1.213089131E-19

Step-by-step explanation:

don't ask me how i did it XD

4 0
4 years ago
Robin had a 5 meter length of ribbon to use bows for her holiday gifts . She wanted to know how many 1/5 meter long pieces she c
GaryK [48]

Answer: She will cut 25 pieces

Step-by-step explanation:

The total length = 5 m

She want to o cut many 1/5 meter long pieces from the ribbon

pieces she can cut from the ribbon will be

5 ÷ 1/5 = 5 × 5 = 25 pieces

6 0
3 years ago
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What is the y-intercept of the function f(x) = 2 · 3*?
morpeh [17]

Answer:

Option D. (0, 2)

Step-by-step explanation:

we have

f(x)=2(3)^{x}

This is a exponential function of the form

y=a(b)^{x}

where

a is the initial value

b is the base

r is the rate of change

In this problem

a=2 ---> the initial value ( value of the function when the value of x is equal to zero)

b=3

b=1+r ----> 3=1+r ----> r=2 ---> r=200%

Remember that

The initial value of the function is equal to the y-intercept

The initial value is the point (0,2)

therefore

The y-intercept is the point (0,2)

6 0
3 years ago
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