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Digiron [165]
3 years ago
9

The weekly demand for an item in a retail store follows a uniform distribution over the range 70 to 83. What would be the weekly

demand if its corresponding computer-generated value is 0.5?
Mathematics
1 answer:
Xelga [282]3 years ago
6 0

Answer:

Weekly demand will be 76.5

Step-by-step explanation:

Let X denote the weekly demand for an item

We have given that X follows a uniform distribution with a = 70 and b = 83

So f(X)=\frac{1}{83-70}=\frac{1}{13}

Now we need to find x_0 such that P(X\leq x_0)=0.5

\oint_{70}^{x_0}f(x)dx=0.5

\oint_{70}^{x_0}\frac{1}{13}dx=0.5

\frac{x_0-70}{13}=0.5

x_0=76.5

So weekly demand will be 76.5

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Point M is the midpoint of AB. Find AM.<br> 2x + 34<br> 6x + 26<br> +<br> A<br> M M<br> B
elena-14-01-66 [18.8K]

Answer:  AM = 76 and AB = 152

Step-by-step explanation:A little annoying but basically AM times 2 shoud equal AB or (2x+34)*2 = 6x+26 solve to get x equals 21 plug back in to get 76 for AM and 152 for AB

7 0
3 years ago
Can -4/3 be simplified?
ser-zykov [4K]
No -4/3 can not be simplified
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Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.
ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0

\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}

Since dx/dt=−2, we have that:

\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}

When y = π/4, x is given by:

xcos(y) = 2.

x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}

Hence:

\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}

\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}

Since cot(pi/4) = 1, we have that:

\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0
2 years ago
Sandra has a rectangular pool in her backyard that is 9 feet long and 4 feet wide. A resort has a pool that is similar in shape,
grigory [225]

Answer:

? = 13.5

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

6/4 = 1.5

9*1.5 = 13.5

5 0
3 years ago
El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañ
Alex_Xolod [135]

Answer:

El tiempo que tardarán Lourdes y Rosabel en hacer el trabajo juntas es de 3,6 horas.

Step-by-step explanation:

Los parámetros dados son;

El tiempo que tarda Lourdes en leer las letras = 6 horas

El tiempo que le toma a Rosabel leer las letras = 9 horas

Sea la cantidad total de trabajo de oficina = X

Deje que el tiempo que ambos tienen que trabajar para hacer el trabajo = t

Por lo tanto;

La tasa de trabajo de Lourdes = X / 6

La tasa de trabajo de Rosabel = X / 9

X / 6 × t + X / 9 × t = X

t × (1/6 + 1/9) = 1

t × 5/18 = 1

t = 18/5 = 3,6 horas

Por lo tanto;

El tiempo que les llevará a Lourdes y Rosabel hacer el trabajo juntas = 3.6 horas.

5 0
4 years ago
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