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grin007 [14]
3 years ago
9

Billy and Tommy are playing a dice game with a six-sided die. Billy needs to roll a 3 or higher to win the game. What is the pro

bability that Billy will roll a 3 or higher?
Mathematics
1 answer:
mestny [16]3 years ago
7 0

Answer:

0.667 is the probability that Billy will roll a 3 or higher.                                        

Step-by-step explanation:

We are given the following in the question:

E: Rolling of a six-sided die

The sample space for the given event is

S: {1, 2, 3, 4, 5, 6}

We have to find the probability that Billy will roll a 3 or higher.

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

P( roll a 3 or higher) =

\displaystyle\frac{n(\text{ 3 or higher)}}{6} = \frac{4}{6} = \frac{2}{3} = 0.667

Thus, 0.667 is the probability that Billy will roll a 3 or higher.

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Slope of (-2,6) (-5,-4)
alekssr [168]

Answer:

10/3

Step-by-step explanation:

(-2, 6) & (-5, -4)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (-5 - (-2))

Simplify the parentheses.

= (-4 - 6) / (-5 + 2)

= - 10 / -3

Simplify the fraction.

-10/-3

= 10/3

This is your slope.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Explain why figure b is not the image of figure a after a reflection using line l
Kaylis [27]

Answer:

See below

Step-by-step explanation:

Figure A has a square cut out into it as figure B has a trapezoid cut out into it.

A reflection is mirroring an image, this means that the image must be identical to its reflected image.

Because figure A and B have different shapes cut into it they are not identical and can therefore not be reflections.

8 0
3 years ago
Read 2 more answers
Any help? Much appreciated ​
natulia [17]

Answer:

\frac{6+\sqrt{27} }{4-\sqrt{3} } = \frac{r+s\sqrt{3} }{13} \\We\ may\ multiply\ the\ numerator\ and\ denominator\ with\ (4+\sqrt{3} ).\\Hence,\\\frac{(6+\sqrt{27})(4+\sqrt{3})  }{13} =  \frac{r+s\sqrt{3} }{13} \\Hence,\\24+6\sqrt{3} +4\sqrt{27} +9= r+s\sqrt{3}\\24+6\sqrt{3} +4*3\sqrt{3} } +9= r+s\sqrt{3}\\24+6\sqrt{3} +12\sqrt{3}+9 = r+s\sqrt{3}\\33+18\sqrt{3} = r+s\sqrt{3}\\Hence,\\r=33, s=18

5 0
3 years ago
Kala drove 250 miles using 9 gallons of gas. at this rate how many gallons of gas would she need to drive 275 miles
Rus_ich [418]

Answer:

9.9 gallons

Step-by-step explanation:

To solve this problem, we need to cross multiply. Lets input the values (250, 275, 9) as shown below:

\frac{9}{250}  = \frac{x}{275}

Next we cross multiply. We multiply 250 and x, and we multiply 9 and 275.

250(x) = 250x\\

275(9) = 2,475

Now, lets put the values above back into the equation:

250x = 2,475

Lets solve this equation. First we divide 2,475 by 250, making x by itself.

\frac{2,475}{250} =x

9.9 = x

This means that to drive 275 miles, Kala would need to use 9.9 gallons of gas.

8 0
3 years ago
Which expression represents a number that is four times as large as the sum of 8 and 160?
DedPeter [7]
ANSWER: x = 4 ( 8 + 160 )

STEP BY STEP:

Let's start by getting a variable to represent the number. Let's use x. ⇩

x=

Now we know that there is a sum of 8 and 160. Let's add them to each other ⇩

x= 8 + 160

Now we know that this will be multiplied. Let's put parentheses around the addition to symbolize this.

X= (8 + 160)

Finally multiply this by four, making your equation

x= 4 (8 + 160)

I don't know the options but from looking at the problem I'm assuming the answer is
x = 4 ( 8 + 160 )

8 0
3 years ago
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