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3 years ago

The length of Marshall's poster is 2 times its width. If the perimeter is 72 inches, what is the area of the poster?

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

8 0

X= width
2x= length
2x+4x=72
6x=72
X=12
2(12)x(12)=24x12
The answer is 288 sq. in.

lesya [120]3 years ago

3 0

$x-width\\2x-length\\\\2x+2\cdot2x=72\\2x+4x=72\\6x=72\ \ \ \ |:6\\x=12\\\\2x=2\cdot12=24\\\\Area=24\cdot12=288\ in^2$

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To find average monthly income, multiply the net pay by the number of pay periods per year. Then divide this yearly income by 12

vladimir2022 [97]

True. To find average monthly income, multiply the net pay by the number of pay periods per year. Then, divide this yearly income by 12 months.

For example:
Daily wages:
Daily wages * 365 days = Total Wage
Total wage / 12 months = average monthly income

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Weekly wages * 52 weeks = total wage
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4 0

2 years ago

Customers arrive at a service facility according to a Poisson process of rate λ customers/hour. Let X(t) be the number of custom

mash [69]

Answer:

Step-by-step explanation:

Given that:

X(t) = be the number of customers that have arrived up to time t.

$W_1,W_2$ ... = the successive arrival times of the customers.

(a)

Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;

$E(W_!|X(t)=2) = \int\limits^t_0 {X} ( \dfrac{d}{dx}P(X(s) \geq 1 |X(t) =2))$

$= 1- P (X(s) \leq 0|X(t) = 2) \\ \\ = 1 - \dfrac{P(X(s) \leq 0 , X(t) =2) }{P(X(t) =2)}$

$= 1 - \dfrac{P(X(s) \leq 0 , 1 \leq X(t)) - X(s) \leq 5 ) }{P(X(t) = 2)}$

$= 1 - \dfrac{P(X(s) \leq 0 ,P((3 \eq X(t)) - X(s) \leq 5 ) }{P(X(t) = 2)}$

Now $P(X(s) \leq 0) = P(X(s) = 0)$

(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;

$E(W_1|X(t) =2 ) = \int\limits^t_0 X (\dfrac{d}{dx}P(X(s) \geq 3 |X(t) =5 )) \\ \\ = 1- P (X(s) \leq 2 | X (t) = 5 ) \\ \\ = 1 - \dfrac{P (X(s) \leq 2, X(t) = 5 }{P(X(t) = 5)} \\ \\ = 1 - \dfrac{P (X(s) \LEQ 2, 3 (t) - X(s) \leq 5 )}{P(X(t) = 2)}$

Now; $P (X(s) \leq 2 ) = P(X(s) = 0 ) + P(X(s) = 1) + P(X(s) = 2)$

So ; the conditional probability density function of $W_2$ given that X(t)=5 is:

$f_{W_2|X(t)=5}}= (W_2|X(t) = 5) \\ \\ =\dfrac{d}{ds}P(W_2 \leq s | X(t) =5 ) \\ \\ = \dfrac{d}{ds}P(X(s) \geq 2 | X(t) = 5)$

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3 years ago

Four less that the quotient of six and two

san4es73 [151]

(6/2) - 4 would be your answer

3 0

2 years ago

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For the third week of February, Betty Robinson worked 46 hours. Betty earns $17.50 an hour. Her employer pays overtime for all h

anygoal [31]

Answer:

1. 700

2. $157.50

3. $857.50

Step-by-step explanation:

Regular pay is calculated by taking 40 hours x $17.50 to get $700.

Overtime is calculated by taking 6 hours x 17.50 x 1.50 to get $157.50

Gross pay would be adding these two amounts together.

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2 years ago

Find the radius of the circle if the center is at (1, 2) and the point (-3, 4) lies on the circle.

Anton [14]

Answer:

2√5

Step-by-step explanation:

The radius is the distance from the center to a point anywhere along the edge of the circle. To find the distance between these two points, use the distance formula.

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(1--3)^2 + (2-4)^2}\\ d = \sqrt{4^2 + -2^2}\\ d = \sqrt{16 + 4}\\ d = \sqrt{20} \\d = 2\sqrt{5}$

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3 years ago

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