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evablogger [386]
3 years ago
13

A die is rolled 8 times. given that there were 3 sixes in the 8 rolls, what is the probability that there were 2 sixes in the fi

rst five rolls
Mathematics
1 answer:
Eva8 [605]3 years ago
8 0
Answer: 15/28
Suppose the following:
event A: the event that there were 3 sixes in the 8 roles,
event B: the event that there were 2 sixes in the first 5 roles.
Then the conditional probability to find is P(B|A)=P(A∩B)/P(A).
P(A)=C(3,8)*(1/6)^3*(5/6)^5,
P(A∩B)=C(2,5)*(1/6)^2*(5/6)^3*C(1,3)*(1/6)*(1/6)^2
∴P(B|A)=15/28
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The information is incomplete hence the general answer. Please note that the question is about the Theme.

<h3>What is a Theme in Literature?</h3>

In works of literature, a theme is a key idea or principle that the writer explores in the text.

In order to identify the theme, you have to pay close attention to the characters, the setting, the plot, what the dialogue is (that is what are the characters talking about?) etc.

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Learn more about Themes at:
brainly.com/question/1561624

7 0
3 years ago
The human resources manager at a company records the length, in hours, of one shift at work, X. He crests the probability distri
Ahat [919]
Hello!

The words at least means that the worker needs to work 8, 9 or 10 hours. We can add probabilities, so we will add .6 (for those working 8 hours), .15 (for those working 9 hours) and .08 (for those working 10 hours) to get a total probability of .83.
Hope this helps!
5 0
3 years ago
The width of a large, rectangular-shaped tree farm is 1.9 kilometers. The length of the farm is 4.4 kilometers. What are the bes
Vinvika [58]

Answer:

9 square kilometers

Step-by-step explanation:

Let's round the width to 2.0 kilometers, and round the length to 4.5 kilometers.

We know that area is length times width, so

A = lw

A = 2.0*4.5

<u>A = 9.0 square kilometers</u>

If we do this on the calculator, it's around 9.36 square kilometers, so our estimate was good.

6 0
3 years ago
Tan x + sqrt(3) = - 2 tan x
Svet_ta [14]

9514 1404 393

Answer:

  nπ -π/6 . . . for any integer n

Step-by-step explanation:

  tan(x) +√3 = -2tan(x) . . . . . given

  3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3

  tan(x) = -√3/3 . . . . . . . . . . divide by 3

  x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x

This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...

  x = n·π -π/6 . . . . for any integer n

8 0
2 years ago
HELP COLLEGE ALGEBRA
max2010maxim [7]

Answer:

1) \frac{-8}{11}  

2) 1.276

3) \frac{3}{4}

4) 0

Step-by-step explanation:

The slope formula of the line that pass across two points P1(x1,y1) and P2(x2,y2) is:

\frac{y2 - y1}{x2-x1} = slope

You can use this formula to solve all the four points:

1)

\frac{6- -2}{-9 - 2} = \frac{-8}{11}

2)

\frac{- 9.1 - 0.6}{-9.5 - - 1.9} = \frac{97}{76} =(Rounded)= 1.276

3)

\frac{2-5}{-2 -2} = \frac{3}{4}

4)

\frac{4-4}{-9 --4} = \frac{0}{-5} = 0 \\\\

3 0
3 years ago
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