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zzz [600]
2 years ago
5

Help please with these questions

Mathematics
1 answer:
sergeinik [125]2 years ago
8 0

Answer:

1. There is a <u><em>1/5</em></u> chance you will get a blue one from both bags.

2. There is a <u><em>3/32</em></u> chance you will get a 1 and then a 2.

3. There is a <u><em>5/12</em></u> chance of rolling a factor of 12 and then an odd number.

Step-by-step explanation:

<u><em>Question 1</em></u>

Add all the marbles together.

3 + 2 = 5

4 + 2 = 6

Make a fraction.

blue/all

Use it on the numbers.

3/5

2/6

Multiply them together.

6/30

Simplify.

1/5

There is a <u><em>1/5</em></u> chance you will get a blue one from both bags.

<u><em>Question 2</em></u>

Add all the numbers together.

There are 8.

Make the two crucial fractions.

ones/all

twos/all

Use them.

3/8

2/8

Multiply them together.

6/64

Simplify.

3/32

There is a <u><em>3/32</em></u> chance you will get a 1 and then a 2.

<u><em>Question 3</em></u>

Find the factors of 12.

1, 2, 3, 4, 6

Make a fraction.

factors/all

Use the fraction.

5/6

Find the odd numbers.

1, 3, 5

Make a fraction.

odd/all

Use the fraction.

3/6

Multiply them together.

15/36

Simplify.

5/12

There is a <u><em>5/12</em></u> chance of rolling a factor of 12 and then an odd number.

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A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.4, 0.35 and 0.25 respectively. From pas
Marizza181 [45]

Answer:

(a) 0.29412 .

(b) No, the events selecting company A and incurring in cost overruns are not independent.

Step-by-step explanation:

We are given that a certain federal agency employs three consulting firms (A, B and C) with probabilities 0.4, 0.35 and 0.25 respectively i.e.;

 P(A) = 0.4        P(B) = 0.35          P(C) = 0.25

Also, From past experience it is known that the probability of cost overruns for the firms are 0.05, 0.03, and 0.15, respectively which means;

Let CO = Event of cost overruns

P(CO/A) = 0.05 - It means probability of cost overruns given the consulting firm involved was A.

Similarly, P(CO/B) = 0.03      P(CO/C) = 0.15

(a) Probability that the consulting firm involved is company A given a cost overrun is experienced by the company is given by, P(A/CO);

We will use Bayes' theorem here calculating the above probability ;

           P(A/CO) = \frac{P(A)*P(CO/A)}{P(A)*P(CO/A) + P(B)*P(CO/B) + P(C)*P(CO/C)}

                          = \frac{0.4*0.05}{0.4*0.05 + 0.35*0.03 + 0.25*0.15} = 0.29412 .

(b) No, the events selecting company A and incurring in cost overruns are not independent because the cost overruns happens only when the consulting firm is involved and also the cost overruns will differ as we move towards another consulting firm so the chances of cost overruns will depend on the fact that which consulting firm has been involved.

8 0
3 years ago
What is -4,2 and -6,0 y= what
elena-s [515]
Hey there! :D

First, find the slope:

m= (y2-y1)/(x2-x1) (-4,2) and (-6,0)

m= (0-2)/(-6-(-4)
m= -2/(-6+4)
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Now, plug that into point slope.

y-y1= m(x-x1)

y-2= 1(x-(-4)
y-2=1(x+4)
y-2=x+4

Add two to both sides.

y=x+6

The y-intercept= 6

I hope this helps!
~kaikers


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