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liberstina [14]
3 years ago
6

Two six-sided number cubes are rolled. Each number cube has sides numbered 1 through 6. What is the probability that the outcome

of the roll is an even sum or a sum that is a multiple of 3?
Mathematics
2 answers:
juin [17]3 years ago
7 0
This is the concept of probability and statistics, we are required to find the probability that when a 6-sided cube is rolled the outcome will be even sum or a sum that is multiple of 3.
The probability space is:
x=(1,2,3,4,5,6)
P(x)=1/6
P(even)=3/6=1/2
P(multiple of 3)=3/6=1/2
P(even or Multiple of 3)=1/2*1/2=1/4
Anarel [89]3 years ago
4 0

Answer:

2/3

Step-by-step explanation:

There are 36 possible outcomes. How did I know? I multiplied 6 by 6 because each dice that is is rolled has 6 sides.

The probability of the outcome being even is 18/36.

The probability of the outcome being a multiple of 3 is 12/36, 6 of which have sums that are even.

You subtract 6 from 12/36 and you get 6/36.

Now you add 18/36 and 6/36.

The answer is 24/36. Simplify, and you get 2/3.

yw

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Answer:

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Step-by-step explanation:

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7 0
3 years ago
A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with
OleMash [197]

Answer:

The plastic cylindrical cup will hold <u>17.96 ounces</u> of water.

Step-by-step explanation:

Given:

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.

Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.

Volume of cone = 6 oz.

Diameter = 4 inches.

So, radius (r) = \frac{Diameter}{2} =\frac{4}{2} =2\ inches.

<u><em>Taking the value </em></u>\pi<u><em> = 3.14.</em></u>

Now, to get the height (h) we put formula:

Volume=\pi r^2\frac{h}{3}

Volume=3.14\times 2^2\times \frac{h}{3}

6=3.14\times 4\times \frac{h}{3}

<em>Multiplying both sides by 3 we get:</em>

18=12.56h

<em>Dividing both sides by 12.56 we get:</em>

1.43=h

h=1.43\ inches.

Now, to get the volume of cylindrical cup.

As, given it is the same height as the paper cup.

Height (h) = 1.43 inches.

Diameter = 4 inches.

Radius (r) = \frac{Diameter}{2} =\frac{4}{2} =2\ inches.

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

Volume =\pi r^2h

Volume=3.14\times 2^2\times 1.43

Volume=3.14\times 4\times 1.43

Volume=17.96\ oz.

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

5 0
3 years ago
Can anyone help me solve this?
irina1246 [14]
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8 0
3 years ago
Solving linear systems of substitution
never [62]
Example: 2x+2y=8 and 3y+2x=6
Okay so u first want to put on of the equations into a y= form. So let's use 3y+2x=6. Subtract 2x from both sides. 3y=6-2x divide by 3. Y= 6-2/3x or y= -2/3x + 6. Now just plug this new equation in for Y since "y=" into the other equation.
2x + 2(-2/3x + 6) = 8.
Then you would distribute the 2 into the parenthesis and simplify to solve for x.
After you solve for x, plug x into one of the original equations to find y.
6 0
3 years ago
Please help me with parts A, B, and C.
leonid [27]

Answer:

  (a) scalene, see attachment

  (b) acute, see attachment

  (c) correct; isosceles

Step-by-step explanation:

(a) The sides of the triangle all have different lengths, so the triangle is scalene. Differences in coordinates between the points of the triangle are (6, 2), (5, 2), and (4, 1), so no two distances between these points can be the same.

__

(b) The angle opposite the longest side is clearly an acute angle, so the triangle is an acute triangle.

__

(c) Miles and Brad live on the same north/south line. Jose lives at a distance that is halfway between those houses in the north-south direction. Hence the distance to Miles' and Brad's houses must be the same from Jose's house. That means the triangle connecting Miles', Brad's, and Jose's houses will be an isosceles triangle.

4 0
3 years ago
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