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2 years ago

If you roll two fair six-sided dice what is the probability that the sum is:

Mathematics

1 answer:

blsea [12.9K]2 years ago

6 0

Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.

Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x

Let ‘x’ be the number on the first dice.

‘Y’ be the number on second dice.

We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.

Total number of possible results from two six-sided dice is 6 × 6 = 36.

The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).

Number of possible results for the sum is 5 or lower is 10.

The probability that the sum is 5 or lower = 10/36

=5/18

Therefore, the probability that the sum is 5 or lower is 5/18.

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What is the area of a triangle ABC with AB=AC=5cm and BC=6cm?

Vika [28.1K]

Answer: 12 cm^2

Step-by-step explanation:

BC ==> Base of triangle

Divide the triangle in two parts:

BC/2=BC'

6/2=BC'

BC'=3

Distance formula: a^2+b^2=c^2

c^2-a^2=b^2

5^2-3^2=b^2

25-9=b^2

b^2=16

b=4 ==> height of triangle

Area of triangle=A. b=base. h=height

A=1/2 * b * h=

A=1/2 * 6 * 4

A=1/2 * 24

A=12 cm^2

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1 year ago

Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb

Kobotan [32]

Answer:

140

Step-by-step explanation:

It's confusing, just believe me.

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3 years ago

What is the correct description of the polygon

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A closed shape with straight sides

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2 years ago

Read 2 more answers

In 1998 the average income for middle class families in the US was $37,100 with a population standard deviation of $6362. We wan

sammy [17]

Answer:

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

The best answer would be:

A. Z test

Step-by-step explanation:

Data given and notation

$\bar X=36670$ represent the mean average

$\sigma=6362$ represent the population standard deviation for the sample

$n=1225$ sample size

$\mu_o =37100$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal or not to 37100, the system of hypothesis would be:

Null hypothesis: $\mu =37100$

Alternative hypothesis: $\mu \neq 37100$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

The best answer would be:

A. Z test

5 0

3 years ago

Please help me, I forgot how to do this

ANTONII [103]

Answer: 1/7

Step-by-step explanation:

26+6+10=42

6/42=1/7

8 0

1 year ago