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3 years ago

A laundry detergent box measures 12 inches by 8 inches by 2.5 inches. What is the volume of two boxes of detergent ?

Mathematics

1 answer:

Anit [1.1K]3 years ago

6 0

Answer:

480 inches cubed

Step-by-step explanation:

Volume= l*w*h

Volume= 12*8*2.5

Volume= 240 inches cubed

The problem asks for the volume of TWO boxes so multiply the volume by 2 and you get a volume of 480 inches cubed

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a gym is offeringa deal to new members. Customers can sign up by paying a registration fee of $200 and a monthly fee of $39. How

AlekseyPX

Answer:

The answer is $668.00

Step-by-step explanation:

Just add 200 to how much you will pay over time. So first multiply 39 by 12 (12 months in a year, 39 per month,) to find out how much you will pay by the end of the year then add 200 to that.

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3 years ago

Read 2 more answers

Casey and her two friends made $54 selling lemonade in their neighborhood. They will share their money equally. How much money w

cluponka [151]

To find out how much money Casey and her two friends will each get, we simply need to divide the total amount of income by the amount of people receiving a part of it

54 / 3 = 18

Casey and her two friends each got $18 from their lemonade stand.
Hope that helped! =)

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3 years ago

I need to find the measure of angle x in the figure

blondinia [14]

Just find the ASA :)

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2 years ago

Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose

Furkat [3]

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

Poisson distribution:

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.

Binomial 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 combinations 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.

Poisson mean:

$\mu = 0.2$

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819$

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017$

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so $p = 0.181$

We want to find P(X = 0).

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

$P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671$

0.671 = 67.1% probability that neither contains a missing pulse

8 0

3 years ago

Find the area of a rectangle with the given base and height<br> 5ft,6 in

anygoal [31]

Answer:

360 inch

Step-by-step explanation:

Step 1: Converting

6inch = 6inch

5ft = 60inch

Step 2: Finding the area

Area of a rectangle = L x B

A = 6 x 60

A = 360inch

8 0

3 years ago