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3 years ago

8

In a game of checkers there are 12 red pieces and 12 black game pieces.Julio is setting up the board to begin playing. what is t

he probability that the first two checkers he pulls from the box at random will be two red checkers . Can you please show me how to work this out ?

1 answer:

Bond [772]3 years ago

4 0

Since there are equal numbers of pieces, the chances of Julio getting a red on the first pull is 12/24 or 1/2 (reduced)

However on the second pull there are only 11 reds (Julio pulled one out) out of 23 remaining pieces so the chances of pulling the second red are 11/23

Now multiply those possibilities:
1/2 x 11/23 and you will get 11/46 which is the probability of pulling two reds in a row. 11/46 is the answer.

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which rule would apply to the expression w^2w^3. A.addition rule. B.power rule. C.distributive rule. D.quotient to difference ru

Free_Kalibri [48]

"Power rule" is the one rule among the following choices given in the question that <span>would apply to the expression w^2w^3. The correct option among all the options that are given in the question is the second option or option "B". I hope that this is the answer that has actually come to your desired help.</span>

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3 years ago

Janice works for a salary of $2,396 per month. She has federal income tax withheld at the rate of 15 percent, Social Security ta

MAVERICK [17]

Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.

Let us calculate total deductions.

Federal income tax = 15% of 2396 = 0.15*2396 =$359.4

Social security tax = 6.2% of 2396=0.062*2396 =$148.552

Medicare tax = 1.45% of 2396= 0.0145*2396=$34.742

<u>health insurance premium =$95 </u>

Total deductions = $637.694

To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306

Hence net pay of Janice is $1758.306 per month.

4 0

3 years ago

What are the solutions to the equation 0 = x2 - X-6? Select two options

Ganezh [65]

Step-by-step explanation:

x2 - x - 6 = 0

x2 - 3x + 2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

x - 3 = 0. x + 2 = 0

x = 3 x = - 2

Option no 2 and 5 are the correct answer

8 0

3 years ago

If K = (AB)/(A+B) , then B = ?

marysya [2.9K]

Lets do

$\\ \sf\longmapsto K=\dfrac{AB}{A+B}$

$\\ \sf\longmapsto \dfrac{1}{K}=\dfrac{A+B}{AB}$

$\\ \sf\longmapsto \dfrac{1}{K}=\dfrac{1}{A}+\dfrac{1}{B}$

$\\ \sf\longmapsto \dfrac{1}{B}=\dfrac{1}{K}-\dfrac{1}{A}$

$\\ \sf\longmapsto \dfrac{1}{B}=\dfrac{K-A}{AK}$

$\\ \sf\longmapsto B=\dfrac{AK}{K-A}$

6 0

3 years ago

un solar tiene forma de 3/4 de círculo unido con un triángulo rectángulo , En este solar va a ser utilizado para sembrar clavele

Stolb23 [73]

Answer:

$1092671.191

Step-by-step explanation:

<u>Cálculo de Areas</u>

El área de un círculo de radio r se obtiene con la fórmula:

$A_c=\pi r^2$

El área de un triángulo de base b y altura h, perpendicular a la base es:

$A_t=\frac{bh}{2}$

Si el triángulo es rectángulo, b y h son los catetos

El solar tiene una forma tal como se ilustra en la figura anexa. Para averiguar el costo del abono y del techo, debe calcularse primero el área total a cultivar. Primero se determina el área de 3/4 de círculo de radio 5.9 metros

$A_c=\frac{3}{4}\pi r^2$

$A_c=\frac{3}{4}\pi (5.9)^2$

$A_c=82.0191302\ m^2$

Por su parte, el triángulo mostrado, tiene ambos catetos iguales al radio de círculo, por lo que su área será

$A_t=\frac{r^2}{2}$

$A_t=\frac{(5.9)^2}{2}$

$A_t=17.405\ m^2$

El área total del solar es la suma de ambas:

$A_s=82.0191302\ m^2+17.405\ m^2$

$A_s=99.4241302\ m^2$

El metro cuadrado de abono cuesta $8016. El costo de abono es

$C_a=99.4241302\ m^2*8016=\$796983.8277$

El metro cuadrado de techo cuesta $2974. El costo del techo es

$C_t=99.4241302\ m^2*2974=\$295687.3632$

El costo total es la suma de los dos anteriores:

$Total=\$796983.8277+\$295687.3632$

$Total=\$1092671.191$

El valor total a intervenir para la adecuación del solar es $1092671.191

7 0

3 years ago