Ask question

Ask question

All categories

3 years ago

13

it takes an air pump 4.0 minutes to fill a twin sized air mattress (39 by 8.75 by 75 inches). How long will it take to fill a qu

een sized mattress (60 by 8.75 by 80 inches)?

1 answer:

Ivahew [28]3 years ago

7 0

Volume of twin sized mattress =

39* 8.75* 75 = 25593.35 cubic inch

Volume of queen sized mattress =

60* 8.75* 80 = 42000 cubic inch

To fill 25593.35 cubic inch it takes 4 minutes

To fill 1 cubic inch it will take = $\frac{4}{25593.35}$ minutes

So to fill 42000 cubic inch it will take = $\frac{4}{25593.35} * 42000$

= 6.56 minutes.

You might be interested in

The area of the parallelogram is 399 square units. What is the height of the parallelogram?

tatuchka [14]

Answer: The answer is 19.

Step-by-step explanation:

I took the quiz, and the correct answer to the question is 19.

3 0

3 years ago

A business rents bicycles and in-line skates. Bike rentals cost $25 a day and skates cost $20 a day. The business had 20 rentals

Lena [83]

25x+20y=455
x+y=20

20x+20y=400
-25x-20y=-455
-5x=-55
x=11
11+y=20
y=9

Solved it as well, sorry if I wasn't supposed to

6 0

3 years ago

I would like to know what this means exactly, feel free to answer it too

LiRa [457]

Answer:

A(-5,2)

Step-by-step explanation:

What they want from you is to basically just flip the graph 90 degrees

4 0

3 years ago

What is the common ratio of 1,10,100,1000

DedPeter [7]

R=10 is the common ratio

8 0

3 years ago

Read 2 more answers

A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb

Maksim231197 [3]

Answer:

a) $P(X = 1) = 0.38742$

b) $P(X = 3) = 0.05740$

c) $P(X = 9) = 0.00000$

d) $P(X \geq 5) = 0.00163$

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem

There are 10 containers, so $n = 10$ .

A food-packaging apparatus underfills 10% of the containers, so $p = 0.1$ .

a) This is P(X = 1)

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

b) This is P(X = 3)

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

c) This is P(X = 9)

$P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000$

d) This is $P(X \geq 5)$ .

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

$P(X < 5) + P(X \geq 5) = 1$

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868$

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

$P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937$

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

$P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742$

So

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837$

Finally

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163$

3 0

2 years ago