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3 years ago

A force of 76 N is applied to an area of 490 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.

Mathematics

1 answer:

kolezko [41]3 years ago

4 0

Answer:

Given

Hope it helps

Step-by-step explanation:

Pressure is the force per unit perpendicular area over which the force is applied

p=F/A

Where f is force and a is area

So P

= F/A

= 76N / 0.049m2

= (76/0.049) Nm2

= 76000/49

= 1551.02

Or 1551 N/m2

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The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t

damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that $\mu = 3$

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472$

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0

2 years ago

What is the median of the following set? {5, 2, 9, 7, 4} A: 5 B: 7 C: 8 D:9

hram777 [196]

A. 5

(2,4,5,7,9)

5 is in the middle between 4 and 7.

8 0

3 years ago

Read 2 more answers

Write a quadratic function with zeroes 0 and 8.

Jlenok [28]

Answer:

$x^2-8x=0$

Step-by-step explanation:

the quadratic function should be as follows:

$x^2-8x=0$

Now let's confirm that the zeros of the function are 0 and 8

$x^2-8x=0=x(x-8)=0$

Therefore we can see that if x = 0

$0^2*8*0=0\\0=0$

the equation is fulfilled

And we also have $(x-8)$

for this expresion to be equal to zero:

$x-8=0\\x=8$

thus, if x = 8

$8^2-8*8=0\\64-64=0\\0=0$

the equation is also fulfilled

The zeros of the quadratic function $x^2-8x=0$ are 0 and 8.

3 0

3 years ago

Solve the following system of equations. 3x+4y=12

Lesechka [4]

Answer:

(0,3) is the solution set for given system.

Step-by-step explanation:

Given that:

3x+4y=12 ------- eq1

2x-3y= -9 ------- eq2

Multiplying eq1 with 2 and eq2 with 3 we get:

6x + 8y = 24 --------- eq1

6x - 9y = -27 -------- eq2

Subtracting eq2 from 1 we get:

17y = 51

Dividing both sides by 17 we get:

y = 3

Putting value of 3 in eq1 we get:

3x + 4(3) = 12

3x + 12 = 12

3x = 0

Dividing both sides by 3

x = 0

So the solution set will be: (0,3)

i hope it will help you.

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3 years ago

The inverse of Fx) is a function. True or False

olga2289 [7]

It is true because it passes the horizontal line test

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3 years ago

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