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QveST [7]
4 years ago
14

Three fair, standard six-sided dice are rolled. What is the probability that the sum of the numbers on the top faces is 18? Expr

ess your answer as a common fraction.
Mathematics
1 answer:
zzz [600]4 years ago
4 0
<h3>Answer: 1/216</h3>

Explanation:

There is only one way to get a sum of 18 and that is rolling three '6's to get 6+6+6 = 18.

There are 6*6*6 = 216 different ways to roll three dice.

Divide the two values to get 1/216

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The area of a circle is 25л ft². What is the circumference, in feet? Express your answer in terms of π.​
Ahat [919]

Answer:

C = 10π ft

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

to find r use the area formula, that is

A = πr² = 25π ( divide both sides by π )

r² = 25 ( take square root of both sides )

r = \sqrt{25} = 5

then

C = 2π × 5 = 10π ft

4 0
2 years ago
The graph of the equation x^2+6x+y^2-16y=-9 is a circle. Choose True or False for each statement
BigorU [14]

Answer:

see the explanation

Step-by-step explanation:

we have

x^2+6x+y^2-16y=-9

<u><em>Convert the equation of the circle in center radius form</em></u>

Group terms that contain the same variable

(x^2+6x)+(y^2-16y)=-9

Complete the square twice. Remember to balance the equation by adding the same constants to each side

(x^2+6x+9)+(y^2-16y+64)=-9+9+64

(x^2+6x+9)+(y^2-16y+64)=64

Rewrite as perfect squares

(x+3)^2+(y-8)^2=8^2

The center of the circle is (-3,8)

The radius of the circle is 8 units

<u><em>Verify each statement</em></u>

A. The center of the circle is (3,-8).

False

The center of the circle is (-3,8)

B. The circle is tangent to the x-axis

True

The circle is tangent to x=5 and x=-11 and is tangent to y=0 and y=16

Remember that y=0 is the x-axis

C. The circle has a radius of 64

False

The radius of the circle is 8 units

7 0
3 years ago
Select the expression that has a value of 96.45
leonid [27]

Given:

Number is 96.45.

To find:

The expression that has a value of 96.45.

Solution:

In option a,

0.9645\times 10^2=0.9645\times 100

0.9645\times 10^2=96.45

In option b,

9.645\div 10^1=\dfrac{9.645}{10}

9.645\div 10^1=0.9645\neq 96.45

In option c,

964.5\times 10^3=964.5\times 1000

964.5\times 10^3=964500\neq 96.45

In option d,

9645\div 10^3=\dfrac{9645}{1000}

9645\div 10^3=9.645\neq 96.45

Therefore, the correct option is a.

5 0
3 years ago
Niko spent $23.25 a raffle ticket that cost $.75 each which of the following is the number of raffle tickets nickel bought
miskamm [114]

Answer:

31 raffle tickets

Step-by-step explanation:

23.25 divided by 0.75 = 31

8 0
3 years ago
Read 2 more answers
Jim says that the output of the floor function is the number before the decimal point in the input. For what domain is Jim’s sta
slava [35]
Yeah that’s what i is a way home to get the gas and then go pick
7 0
4 years ago
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