Is it unusual to get 5 when a pair of dice is rolled?

Answers

Answer 1

Answer:

It is not unusual to get 5 when a pair of dice is rolled.

What is probability?

Probability of an event is the ratio of number of favorable outcomes to the total number of outcomes. Probability is a measure of how likely an event is going to happen.

Given is that you get 5 when pair of dice is rolled.

Number of outcomes for sum of 5 = 4

The sample space for the outcomes for sum of 5 is {(1, 4), (2, 3), (3, 2), (4, 1)}.

So, we can write the probability of getting 5 as -

P(getting 5) = 4/36

P(getting 5) = 1/9

Although the probability of getting a 5 is low, but is not completely zero. So, it is not unusual to get 5.

Therefore, it is not unusual to get 5 when a pair of dice is rolled.

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Answer 2

Answer:

Not at all. In fact, there are 4 ways to roll it:

A 1 and a 4 or a 4 and a 1

A 2 and a 3 or a 3 and a 2

There are 36 possible ways you can roll 2 dice, so those 4 possibilities represent a 4/36 = 1/9 chance of rolling a total of 5 between two dice.

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The circumference of a circle is 28 in.What is the diameter of the circle?

Responses

28 over pi, in.

14 over pi, in.

square root of 28 over pi end root, in.

14π−−√ in.

I think it is 28/pi but I would like to make sure

Answers

The diameter οf the circle is 28/π inches οr apprοximately 8.89 inches (rοunded tο twο decimal places).

The fοrmula fοr the circumference (C) οf a circle is given by:

C = 2πr

where r is the radius οf the circle.

If the circumference οf the circle is 28 inches, we can sοlve fοr the radius by dividing bοth sides οf the equatiοn by 2π:

C/2π = r

Substituting the given value οf C = 28, we get:

r = 28/2π

r = 14/π

Finally, tο find the diameter (d) οf the circle, we multiply the radius by 2:

d = 2r

Substituting the value οf r = 14/π, we get:

d = 2(14/π) = 28/π

Therefοre, the diameter οf the circle is 28/π inches οr apprοximately 8.89 inches (rοunded tο twο decimal places).

Learn more about diameter

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The profit on a teddy bear can be found by using the function P(x) = - 2x2 + 35x - 99 where x is the price of the bear.Calculate the price that maximizes profit.

Answers

Answer:

x=8.75

Step-by-step explanation:

The price x that maximizes profit is the maximum value of the function, and the maximum value of the function is located at a point where the first derivative of the function is equal to zero. The first derivative is:

$P(x) = - 2x^2+35x-99\nP'(x)=-2(2)x^((2-1))+35(1)-0\nP'(x)=-4x+35$

Using P'(x)=0:

$0=-4x+35\n4x=35\nx=35/4\nx=8.75$

The minimum value of the function is also at a point where the first derivative of the function is equal to zero. To differentiate if x=8. is a minimum or a maximum obtain the second derivative and evaluate it at x=8.75 if the value P''(x)>0 x is minimum and if P''(x)<0 x is a maximum.

$P'(x)=-4x+35\nP''(x)=-4(1)\nP''(x)=-4$

Evaluating at x=8.75:

$P''(8.75)=-4$

Therefore, x=8.75 is the maximum value of the function and it is the price that maximizes profit.

Solve 2cos^2x+3sinx=0

Answers

Answer:

$x = {\sin^( - 1) 2} \: \: or \: \: x = (7\pi)/(6), \: \: (5\pi)/(3)$

Step-by-step explanation:

$2 { \cos}^(2) x + 3 \sin x = 0 \n 2 {(1 - \sin}^(2) x) + 3 \sin x = 0 \n 2 - 2 \sin^(2) x+ 3 \sin x = 0 \n 2 \sin^(2) x - 3 \sin x - 2 = 0 \n 2 \sin^(2) x - 4\sin x + \sin x- 2 = 0 \n 2\sin x(\sin x - 2) + 1(\sin x - 2) = 0 \n (\sin x - 2)(2\sin x + 1) = 0 \n (\sin x - 2) = 0 \: or \: (2\sin x + 1) = 0 \n \sin x = 2 \: or \: 2\sin x = - 1 \n x = {\sin^( - 1) 2} \: \: or \: \: \sin x = - (1)/(2) \n x = {\sin^( - 1) 2} \: \: or \: \: x = (7\pi)/(6), \: \: (5\pi)/(3)$

Question 3 (2 points)Using the statement below, determine the hypothesis and conclusion,

If two integers are even, then their sum is even

Column A

Column B

1.

Hypothesis

a. If two integers are even

2.

Conclusion

b. then their sum is even

c. two integers are even

d. their sum is even

Answers

Answer:

Hypothesis

a. If two integers are even

Conclusion

b. then their sum is even

Step-by-step explanation:

We divide the statement into two parts . The first part is true only when the second is also true. The only way we can reject the hypothesis is that the conclusion is false.

In the statement "If two integers are even, then their sum is even" the part "If two integers are even" would be considered true or false on the basis of "then their sum is even" validity. So if the "then their sum is even" (conclusion ) Part is proved then the "If two integers are even" ( hypothesis) is also true.

Hence the hypothesis is

a. If two integers are even

and

Conclusion is

b. then their sum is even

Please help and i will brainliestttt

Answers

Answer:

7/3 cm per hour

Step-by-step explanation:

Answer: 7/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3

Step-by-step explanation:

7 divided by 3= 3/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3

7 is for how much snow fell and the 3 is from how much time

What is the similarity ratio of the smaller to the larger prisms? Enter your answer as a:b

Answers

Answer:

6:9>2:3

Step-by-step explanation:

In order to do this, you just have to equalize the ratio you just need to search for the same sides, so the 6 side is similar with the 9 side on the larger, and then the 8 to the 12 and the 4 to the 6, so you just equalize any of those equal we will use the 8 and 12:

8:12

Now we just reduce it with the same:

4:6

2:3

So the ratio would be 2:3.

The similarity ratio, I believe, is 2:3.

Because the lengths are 6 and 9 (2:3), the widths are 8 and 12 (2:3), and the heights are 6 and 4 (2:3).

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