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Ksenya-84 [330]
2 years ago
8

Two dice are rolled. Find the probability of the following event.

Mathematics
1 answer:
Elanso [62]2 years ago
5 0

Answer:   5/18

=============================================

Explanation:

A = number of times we get 5 on the first die

B = number of times we get a sum of 6.

Refer to the sum of dice chart below. This chart represents every possible sum of two dice (eg: 1+1 = 2 in the top left corner or 6+6 = 12 in the bottom right corner).

Let's say the blue die is the first of the pair.

Locate 5 on the blue die and notice there are 6 occurrences when this happens. This corresponds to the 6 other possibilities for the red die. So we have A = 6.

Also notice how there are 5 occurrences of the sum "6" in the table. So B = 5.

We have A+B = 6+5 = 11 occurrences of either the first die is 5 or the sum is 6. However, we have to subtract off 1 because we double counted "6" when adding A and B.

So in reality we have 11-1 = 10 times this happens.

This is out of 36 total ways to roll two dice.

Therefore, the probability we want is 10/36 = 5/18

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Answer:

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

Step-by-step explanation:

Given

n = 200

x_1 = 34 -- City C

x_2 = 54 --- City K

Required

Determine the 90% confidence interval

This is calculated using:

CI = \bar x \± z\frac{\sigma}{\sqrt n}

Calculating \bar x

\bar x = \bar x_1 - \bar x_2

\bar x = \frac{x_1}{n} - \frac{x_2}{n}

\bar x = \frac{34}{200} - \frac{54}{200}

\bar x = 0.17 - 0.27

For a 90% confidence level, the ​z-score is 1.65.  So:

z = 1.65

Calculating the standard deviation \sigma

\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }

So:

\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }

\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}

So:

CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}

CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}

7 0
2 years ago
WILL BE MARKED AS BRAINLIEST !!! <br> Solve<br> (−22 −4 + 8)+ (52 + 2 − 25)
anygoal [31]

Answer:

11

Step-by-step explanation:

1) lets get rid of the parentheses, we dont really need them:

−22 −4 + 8+ 52 + 2 − 25

Following order of operations we need to work from left to right

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-22-4=-26

-26+8=-18

-18+52=34

34+2=36

36-25=11

the answer is 11

hope this helps

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Write a number to represent the quantity.<br> a debt of $300
natka813 [3]

Answer:

A debt means subtracting from the original value so a debt of $300 can be expressed as -300.

5 0
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mr Goodwill [35]
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)

Multiply equation (1) by 2:
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Multiply equation (2) by 15:
105x - 30y - 300 = 0

Add equations (1) and (2):
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15y + 45 = 0
15y = -45
y = -45/15
y = -3

Therefore, x = 2 and y = -3.
7 0
3 years ago
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