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3 years ago

If 3 dice are rolled at the same time, what is the probability of all 3 dice showing even face

1 answer:

5 0

Total possible outcomes of 3 dice = 6 x 6 x 6 = 216

Total number of ways for all 3 to show even numbers:
222
224
226
242
244
246
262
264
266
.
.
etc. There 27 of them.

Probability = 27 / 216 = <u>1/8</u> = 12.5 percent .

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Whats the answer pls thankyou

Sladkaya [172]

Answer:

your answer is 0.4x10^6

5 0

2 years ago

Read 2 more answers

F(t)=t^2+19t+60<br> What are the zeros of the function and what is the vertex of the parabola?

SVEN [57.7K]

Answer: $-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

Step-by-step explanation:

Given

Function is $F(t)=t^2+19+60$

Zeroes of the function are

$t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15$

Using completing the square method

$y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

4 0

3 years ago

Ariane borrows $300 on a 5−year loan. She is charged 5% simple interest per year. How much interest is she charged for 5 years?

AnnyKZ [126]

Answer:

Interest = $75

Total to pay back = $375

Step-by-step explanation:

The total amount she will have to pay back is found by the formula:

= Amount borrowed * (1 + rate * years)

= 300 * ( 1 + 5% * 5)

= $375

The interest is therefore:

= Amount to be paid back - Amount borrowed

= 375 - 300

= $75

6 0

3 years ago

Josie sold 790 tickets to a local car show for a total of $4,390.00. A ticket for a Child costs $4.00 and adult ticket costs $7.

Papessa [141]

Let's define the following variables first.

A = number of tickets sold for adults

C = number of tickets sold for children

From the question, we can say that or form the following equations:

1. A + C = 790 tickets

2. $7A + $4C = $4, 390

The first equation can also be written as A = 790 - C. We can use this equation and replace "A" in the second equation.

$7(790-C)+4c=4,390$

From that, we can solve "C" by solving the equation formed above.

$\begin{gathered} \text{Distribute 7 to the terms inside the parenthesis.} \\ 7(790)-7(C)+4C=4,390 \\ 5,530-7C+4C=4,390 \\ \text{Subtract 5,530 on both sides of the equation.} \\ -7C+4C=-1140 \\ -3C=-1140 \\ \text{Divide -3 on both sides.} \\ C=380 \end{gathered}$

Therefore, 380 tickets for children were sold.

Since there are 790 tickets in total that are sold and 380 tickets for children were sold, we can say that 410 tickets for adult was sold.

$\begin{gathered} A=790-C \\ A=790-380 \\ A=410 \end{gathered}$

3 0

11 months ago

PROCEDIMIENTO POR FAVOR

Allisa [31]

Responder:

Número total de bolas = 245/23

Explicación paso a paso:

Dado que:

Bolas blancas = 1/5

Bolas negras = 1/7

Bolas rojas = 7

Sea el número total de bolas = x

Bolas blancas = 1 / 5x

Bolas negras = 1 / 7x

Por tanto, total;

(x / 5 + x / 7 + 7) = x

((7x + 5x) / 35) +7 = x

(12x / 35) + 7 = x

7 = x - 12x / 35

7 = (35x - 12x) / 35

7 = 23 veces / 35

245 = 23x

x = 245/23

8 0

2 years ago