Simon wants to earn as many points as possible in one turn in a game. Two number cubes whose sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points are awarded in the turn.

OPTION A: If the sum of the rolls is a prime number, Simon receives 15 points.
OPTION B: If the sum of the rolls is a multiple of 3, Simon receives 12 points.

Which statement best explains the option he should choose?


A. Simon should choose Option B. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.

B. Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.

C. Simon should choose Option B. The mathematical expectation of this option is 4 and is the greater mathematical expectation of the two options.

D. Simon should choose Option A. The mathematical expectation of this option is 4 and is the greater mathematical expectation of the two options.

Answer:

$282.5

Step-by-step explanation:

First plug your numbers into the equation

49(5) + .3(125)

Multiply numbers

245 + 37.5

Add these numbers together to find your answer

Answer:

50cm³

Step-by-step explanation:

Multiply the dimensions then divide by three to get the volume of the pyramid

Answer:

scientific" (and any subsequent words) was ignored because we limit queries to 32 words.

Your search - This Question: 1 pt 20 of 20 This Qu th The pH of a fruit juice is 2.9. Find the hydronium ion ... - did not match any documents.

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Answer:

its 0.59

Step-by-step explanation:

Because if you divide 7.08 and 12 then you get the answer.

Answer:

10 hours and 20 minutes.

Step-by-step explanation:

We can find out how many hours of sleep Tucker gets every night by counting in one-hour intervals.

One hour from 8:25 is 9:25.

9:25, 10:25, 11:25, 12:25, 1:25, 2:25, 3:25, 4:25, 5:25, 6:25.

This is 10 hours.

Now we count in ten-minute intervals to get to 6:45

6:35, 6:45.

This is 20 minutes.

Therefore, Tucker gets 10 hours and 20 minutes of sleep each night.

This is equivalent to 620 minutes.

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

Explanation:

The user purrugh has a great answer. I'll provide a slightly different approach.

The timespan from 8:25 PM to 9:00 PM is 35 minutes. Note how adding 35 minutes to 25 past the hour gets us to 25+35 = 60 minutes, so we're at the top of the hour now, and at 9 o' clock on the dot.

Then from 9 PM to 12 midnight is a gap of 3 hours (because 12-9 = 3). From midnight to 6 AM is another 6 hours. So far we have 3+6 = 9 hours, plus the additional 35 minutes mentioned earlier. The duration so far is 9 hours, 35 minutes. We still have to account for another 45 minutes, since we want to get to 6:45 AM and not 6:00 AM.

Note how 35+45 = 80, which is over 60. This means 35 min + 45 min = 80 min = (60 min) + (20 min) = 1 hr, 20 min

That "1 hr, 20 min" is added onto the "9 hours" from earlier and we arrive at 10 hours, 20 minutes as the final answer

-----------------------------

Yet another approach is to do everything in minutes, and then convert to hours,minutes format at the very end.

Again the gap from 8:25 PM to 9:00 PM is 35 minutes. From 9 PM to midnight is 3 hours, or 3*60 = 180 minutes. We have a duration so far of 35+180 = 215 minutes.

From midnight to 6 AM is 6*60 = 360 minutes. The duration has been updated to 360+215 = 575 minutes. Finally, from 6 AM to 6:45 AM is the last gap of 45 min to get us to 575+45 = 620 minutes.

Tucker slept a total of 620 minutes. Let's convert that to hours,minutes format. Note how 620 = 600+20 and how 600/60 = 10. Meaning that 600 minutes = 10 hours. Therefore,

620 min = (600 min) + (20 min) = 10 hours, 20 minutes

Answer:

4 and 6?

im not sure if you meant numbers

Step-by-step explanation:

Answer:18

Step-by-step explanation:trust

Answer:

5 and 7

Step-by-step explanation:

Let the two numbers be x and x + 2.

According to Question ,

[tex]\implies x + x + 2 = 12 \\\\\implies 2x = 12 -2 \\\\\implies 2x = 10 \\\\\implies x =\dfrac{10}{2}\\\\\implies\boxed{ x = 5 }[/tex]

Hence the nos . are 5 and 7

Answer:

2 x 10^6

Step-by-step explanation:

10^6 = 1,000,000

2 x 1,000,000 = 2,000,000

10^5 = 100,000

9 x 100,000 = 900,000

2,000,000 > 900,000

Answer:

$115 each

Step-by-step explanation:

(800 - 340)/4 = 115

Answer:

0.53535353535354

53/99 as a decimal is 0.53535353535354.

Step-by-step explanation:

Just Divide 53 into 99

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!! if it DID ,  FRIEND me!!

Answer:

A

Step-by-step explanation:

Answer:

For a rectangular prism that has a base area B, and a height H, the volume is:

V = B*H

This is the only "tool" that we need to use in this situation.

We know that the wall needs to be 3ft tall, then H = 3ft

And we also know that we have enough bricks for a wall of a volume:

V = 330 ft^3

If we replace these two in the volume equation, we get:

330ft^3 = B*3ft

Now we can solve this for B, and thus find the volume of the base of the wall.

To do it, we just need to divide both sides by 3ft

(330 ft^3)/3ft = B*3ft/3ft

110 ft^2 = B

This means that the area of the base is 110ft^2

As the base is a rectangle of width W and length L, we must have:

110ft^2 = B = L*W

Then the possible measures of the base are given by the linear relation:

L = 110ft^2/W

Where we also need to add some trivial restrictions, like:

L > 0 ft

W > 0ft

This only means that we can not have a length or width equal to or smaller than zero, as those do not have physical sense.

Answer:

18

Step-by-step explanation:

18 is the correct answer

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A cube has an edge length of 5 inches

When I know the side length of a cube, I can find its surface area and express it using appropriate units.

I can write and explain the formula for the surface area of ​​a cube.

The volume of a cube with edge length [tex]S^{}[/tex] is .[tex]S^{3}[/tex]

A cube has 6 faces and they are all identical squares. The surface area of ​​a cube with edge length [tex]S^{}[/tex] is. 6 DIVIDE [tex]S^{2}[/tex]

Answer:

p = 7

Step-by-step explanation:

2p = 14

p = 14/2

p = 7

Answer:

It is an rational

Step-by-step explanation:

Answer:

it ends at 10:30 am

Step-by-step explanation:

if you add 2 hours to 8:30 am it equals 10:30 am

Answer:

8

Step-by-step explanation:

50.24/3.14

= 16

16/2

= 8

Answer:

y=-2/3x+6

Step-by-step explanation:

Answer: 0.70

Step-by-step explanation the same as decreased by 30%" would be (1.00 - 0.30)(original cost), or 0.70(original cost)

he slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 4 .

Step-by-step explanation:

can i have brainliest

Answer:

y = - [tex]\frac{1}{4}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 3 ← is in slope- intercept form

with slope m = 4

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex] , then

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute (4, 8) into the partial equation

8 = - 1 + c ⇒ c = 8 + 1 = 9

y = - [tex]\frac{1}{4}[/tex] x + 9 ← equation of perpendicular line

]

Answer:

68

Step-by-step explanation:

Answer:

23-54= -31

54-23= 31

Step-by-step explanation:

So I knew 54-23 is positive 31 and if they were switched it will be a negative 31

Answer:

-3y (y^2+ 2y-2)

Step-by-step explanation:

i took the test and got this answer