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Novosadov [1.4K]
3 years ago
6

You roll a fair 6-sided die what is the probability of rolling a number grader than 4?

Mathematics
2 answers:
lawyer [7]3 years ago
8 0

Answer:

\frac{1}{3}

Step-by-step explanation:

There are 2 numbers on the dice greater than 4. 5 and 6.

\frac{6-4}{6}

\frac{2}{6} = 1/3

Roman55 [17]3 years ago
5 0

Answer:

2/6 or 1/3

Step-by-step explanation:

5, and 6 is greater than 4 if the total is 6 then its 2/6 since there are only two numbers that are greater than 4

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A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers,
s344n2d4d5 [400]

Answer:

y=3x+5

Step-by-step explanation:

The problem is asking for slope-intercept form, luckily, they gave us both of those things.

Slope-intercept form: y=mx+b, where m= slope and b= y-intercept.

So,

y=3x+5

Hope this helps!

7 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
bogdanovich [222]
The answer would be D just took test

7 0
3 years ago
Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos
crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c)  P(X = 2) is unusual, P(X = 0) is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

A number of sucesses x is considered unusually low if P(X \leq x) \leq 0.05 and unusually high if P(X \geq x) \geq 0.05

In this problem, we have that:

Two cans are randomly chosen, so n = 2

Two out of 18 cans are filled with diet coke, so \pi = \frac{2}{18} = 0.11

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that P(X = 2) is unusual, since P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0
3 years ago
-1 7/8 + -6 Help, please.
KiRa [710]
-7 7/8 is the answer.

5 0
3 years ago
10. A video rental store charges a $20 membership fee and $2.50 for each video
Pavel [41]
Y= 2.50(x) + $20 is the linear equation

If 15 videos are rented
Y=2.50(15) + $20
Y= $57.50

67.50 = 2.50(x) + 20
19= x
19 videos were rented in 3 months
8 0
3 years ago
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