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WARRIOR [948]
2 years ago
7

A shipping company claims that 90% of its packages are delivered on time. Jenny noticed that out of the last 10 packages shipped

, 2 were late. What is the probability that 2 out of 10 randomly selected shipments would be late? 0. 04 0. 10 0. 19 0. 43.
Mathematics
1 answer:
nasty-shy [4]2 years ago
3 0

The probability that 2 out of 10 randomly selected shipments would be late is 0.19.

<h2>Given </h2>

A shipping company claims that 90% of its packages are delivered on time.

Jenny noticed that out of the last 10 packages shipped, 2 were late.

<h2>What is probability?</h2>

The probability of success and failure remain the same throughout the trials.

The probability that 2 out of 10 randomly selected shipments would be late is given by;

\rm =^{10}C_2 \times (\dfrac{2}{10})^2 \times (0.8)^8\\\\=45 \times 0.04\times 0.16\\\\ = 0.19

Hence, the probability that 2 out of 10 randomly selected shipments would be late is 0.19.

To know more about Probability click the link given below.

brainly.com/question/5053059

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a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the
sp2606 [1]

The area of the window is \frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}

The shape of the Norman window is described as a rectangle surmounted by a semicircle.

Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = \frac{2\pi r}{2} = \frac{\pi x}{2} , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

So 2y + x + \frac{\pi x}{2} = 25

Therefore, y =( 25 - x - \frac{\pi x}{2} ) / 2

Area of the window = Area of the semicircle + Area of the rectangle =

 \frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2

 So Area of the window = \frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}

Learn more about area of circle and rectangle at brainly.com/question/4694841

#SPJ4

7 0
1 year ago
Help me out please.i will give brainly
tankabanditka [31]

Answer:

Hello! answer: 17

Step-by-step explanation:

Assuming this is the Pythagorean theorem our formula would be

a^2 + b^2 = c^2

meaning both of those sides multiplied by themselves added together will equal a number which is the result of c multiplied byitself sorry it sounds confused but...

15 × 15 = 225 8 × 8 = 64 225 + 64 = 289

the square root or the (number multiplied byitself that equals 289) is 17 because

17 × 17 = 289 so × = 17 I hope that helps!

7 0
3 years ago
Read 2 more answers
Joe drove 538 miles in 9 hours 15 minutes. what was his average speed per hour
Lynna [10]
I am not sure but I think you have to multiply 538 and 9 and get 4842 then divide 4842 by 15 and get 322.8. ( I am not sure if I'm right ).
6 0
3 years ago
Someone pls help it a exam I’ll give brainiest :)
Zanzabum
I think it’s the first answer! Good luck!
6 0
3 years ago
Find the size of angle XZY<br> Answer given to one decimal place
barxatty [35]

Answer:

159cm

Step-by-step explanation:

Sum of all sides of triangles is 180

so, 15+6=21

then 180-21=159

4 0
2 years ago
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