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1 year ago

5

What is the probability of rolling a 4, 5, and 6, in that order, on three rolls of a single six-sided die

1 answer:

Marat540 [252]1 year ago

4 0

Answer:

1:216

Step-by-step explanation:

The probability of getting a 4 would be 1/6. The probability of getting a 5 would be 1/6 and the probability of getting a 6 would be 1/6. The bottom number is the total number of outcomes (1,2,3,4,5,6) and the top number is out of that set, how many do I want. In the case of wanting a 4, I want 1 out of those 6 numbers and so on.

Now we multiple these together 1/6 x 1/6 x 1/6 and get 1/216 or another way to write this is 1:216

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What is the radius of a circle whose equation is X^2 plus Y^2 -10X +6 X +18=0?

frosja888 [35]

ANSWER

The radius is 4

EXPLANATION

The given equation is:

${x}^{2} + {y}^{2} - 10y + 6x + 18 = 0$

We complete the square to get the expression in standard form:

${x}^{2} + 6x + {y}^{2} - 10y + 18 = 0$

${x}^{2} + 6x + 9 + {y}^{2} - 10y + 25 = - 18 + 9 + 25$

We factor using perfect squares to get:

${(x + 3)}^{2} + {(y - 5)}^{2} = 16$

This implies that,

${(x + 3)}^{2} + {(y - 5)}^{2} = {4}^{2}$

Comparing to

${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$

The radius is r=4

3 0

3 years ago

What quantity of a 30% solution do you need to make 150 mL of a 20% solution?

Bumek [7]

Answer:

Volume required = 100mL

Step-by-step explanation:

Let the volume of 30% solution required be = V mL

Amount of solute in V mL of solution = 30% of V = 0.3V...............(i)

This amount is also present in 150 mL of 20% solution

For 150 mL of 20% solution we have amount of solute = 150 mL X 20%

= 30..............(ii)

Thus equating i and ii we get

0.3V = 30

Thus V =100 mL

7 0

3 years ago

Geometry thing help<br>aa

irina [24]

Answer:

Step-by-step explanation:

Since we know that the two lines are parallel because of alternate interior angles (5x-20)=3x

then solve for x

5x-20=3x

-20=-2x

x=10°

5 0

3 years ago

Read 2 more answers

The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat . Which of the following coul

sukhopar [10]

Answer:

f(x) = 3 $x^{2}$ + 2

Step-by-step explanation:

Given G(x) = $x^{2}$

As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)

=> f(x) = a $x^{2}$ + 2

As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3

and there is no reflection, so a= 3

=> the equation of f(x) is: f(x) = 3 $x^{2}$ + 2

5 0

3 years ago

Need help ASAP! Anyone know?

VARVARA [1.3K]

Answer: x= 29°

Step-by-step explanation: Add angles D and C. Subtract from 180.

58/2 = 29

6 0

3 years ago