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max2010maxim [7]
2 years ago
6

Let f(x) be the probability density function for the lifetime of a manufacturer's highest quality car tire, where x is measured

in miles. Explain the meaning of each integral. (a) 50,000 f(x) dx 20,000
Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
5 0

Answer:

P(20000<x<50000)

Step-by-step explanation:

Given that f(x) is a probability density function for the lifetime of a manufacturer's highest quality car tire, where x is measured in miles.

We have to explain the meaning of integral

20000 to 50000 f(x) dx

= \int\limits^{50000}_{20000} }f(x) dx \\=F(50000)-F(20000)

where F is the cumulative function.

Hence the integral is the probability that x lies between 20000 and 50000

Hence the integral is nothing but

P(20000

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A shipping company is loading cube shaped crates into a larger cube shaped container the smaller cubes have side lengths 21/2 fe
zheka24 [161]

Answer:

64 crates

Step-by-step explanation:

Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet

Larger Container (Cube) Side Length = 10 feet

We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.

Volume of Cube = x^3

Where x is the side length of the cube

Now,

Small Crate Volume = (2.5)^3 = 15.625 cubic feet

Large Container Volume = 10^3 = 1000 cubic feet

Number of crates that would fit = 1000/15.625 = 64

So, 64 crates will fit in the largest shipping container

7 0
3 years ago
Equivalent fraction of 9/11​
quester [9]

Answer:

1822

Step-by-step explanation:

The fraction 1822 is equal to 911 when reduced to lowest terms.

18

22

is equivalent to 9

11

because 9 x 2 = 18 and 11 x 2 = 22

27

33

is equivalent to 9

11

because 9 x 3 = 27 and 11 x 3 = 33

36

44

is equivalent to 9

11

because 9 x 4 = 36 and 11 x 4 = 44

8 0
3 years ago
Read 2 more answers
Find perimeter of the figure thanks and round to the nearest hundredth
Gnom [1K]

Answer:

40.56

Step-by-step explanation:

you need the circumference of the cirle aka perimeter of circle so  8(pi) and then because its only half, divided by 2... 12.56

now you hgave circumference so add 12.56 to 28 and there you go. you can round how ever necessary

7 0
3 years ago
Read 2 more answers
What is the distributive property of 24+40
Scorpion4ik [409]
(20+40)+4

So basically the easiest way to remember is for example:
Normal: 69+45
Distributive property: (60+40)+9+5
———————————————————
So if you have 24 you need to distribute the numbers to make them into tens. That’s how you get 4.
———————————————————
I didn’t explain it very well but hope it helped a little bit.
8 0
3 years ago
What's the greatest number for 5,3,1,4,7
Black_prince [1.1K]
75431
Hope it helps you
6 0
2 years ago
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