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baherus [9]
2 years ago
8

Assume that two fair dice are rolled. First compute P(F) and then P(FIE). Explain why one would expect the

Mathematics
1 answer:
saveliy_v [14]2 years ago
5 0

The probability that a three shows on at least one of the dice is 11/36.

<h3>How to calculate the probability?</h3>

It should be noted that of probability means the likelihood of the occurence of an event.

The probability that a three shows on at least one of the dice will be:

= 11/36

This can be seen from the table that is attached.

The probability that the total is less than 8 will be:

= 21/36

= 7/12

Here, there are 21 places where the total is less than 8.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

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Slope is rise(2)/run(3)

2/3 is your answer :)
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2 years ago
A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will
Eddi Din [679]

Answer:

D. 0.821

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The combinations formula is important to solve this question:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes

The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.

At least 3 girls.

3 girls

3 girls from a set of 5 and 2 boys from a set of 3. So

C_{5,3}*C_{3,2} = 30

4 girls

4 girls from a set of 5 and 1 boy from a set of 3. So

C_{5,4}*C_{3,1} = 15

5 girls

5 girls from a set of 5

C_{5,5} = 1

D = 30+15+1 = 46

Total outcomes

5 from a set of 8. So

T = C_{8,5} = 56

Probability

P = \frac{D}{T} = \frac{46}{56} = 0.821

So the correct answer is:

D. 0.821

6 0
2 years ago
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4sinthetacostheta=sqrt3 for all solutions
guajiro [1.7K]
Is this college math or high school math
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3 years ago
A piecewise function f(x) is defined as shown. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x
vivado [14]

Answer:

(D)The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.

Step-by-step explanation:

The piece-wise function, f(x) is defined as follows:

f(x)=\left\{\begin{array}{ccc}-\frac{5}{4}x+90 &0\leq x

f(0)=-\frac{5}{4}*0+90=90\\\\f(16)=-\frac{5}{4}*16+90=70\\\\f(40)=-\frac{3}{8}*40+75=60\\\\f(120)=-\frac{3}{8}*120+75=30\\\\f(160)=-\frac{3}{8}*160+75=15\\\\f(200)=-\frac{3}{8}*200+75=0

Therefore, the table which could represent the function is that which satisfies the points above.

In option D

\left|\begin{array}{c|c}x&f(x)\\--&--\\40&60\\160&15\\200&0\end{array}\right|

<u>The correct option is D</u>

7 0
3 years ago
Enrique collected 7 more than 2 times as many recyclable bottles as Natasha. Write an expression for the number of bottles they
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Answer:

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