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3 years ago

Find the dimensions of a box that will hold half as many cubes as a box that is 4 by 5 by 6.

Mathematics

2 answers:

amid [387]3 years ago

8 0

I don’t know sorry
But I really need to answer this because I need to get access to the adds

Y_Kistochka [10]3 years ago

6 0

A 2 * 6 * 4 box will hold 48 cubes.

2 * 48 = 96

What three numbers multiplied together equal 96?

We'll be glad to check your answer.

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Last month Dory biked 11 times as many miles as Carly together dirt bike the total of 156 miles how many miles did Dory biked la

Lynna [10]

I don't know. check google!

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4 years ago

What angle do the minute and hour hands of a clock make at 8:00

svlad2 [7]

The angle that the minute and hour hands make when they are at 8:00 is obtuse

6 0

4 years ago

Explain how you can check your solution<br>to the equation. Then check the solution.

Hoochie [10]

Answer:

To check if a given value is a solution to an equation:

Evaluate the left-hand side expression at the given value to get a number.

Evaluate the right-hand side expression at the given value to get a number.

See if the numbers match.

4 0

3 years ago

Thanks in advance!

saveliy_v [14]

Answer:

22.5 degrees

Step-by-step explanation:

(I have little experience in this so take this answer with a grain of salt)

4 0

3 years ago

(CO 3) Fifty-four percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that th

11111nata11111 [884]

Answer:

a) $P(X=6)=(12C6)(0.54)^6 (1-0.54)^{12-6}=0.217$

b) $P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)$

$P(X=9)=(12C9)(0.54)^9 (1-0.54)^{12-9}=0.0836$

$P(X=10)=(12C10)(0.54)^{10} (1-0.54)^{12-10}=0.0294$

$P(X=11)=(12C11)(0.54)^{11} (1-0.54)^{12-11}=0.00628$

$P(X=12)=(12C12)(0.54)^{12} (1-0.54)^{12-12}=0.000615$

And adding the values we got:

$P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)= 0.0836+0.0294+0.00628+0.000615 = 0.120$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of teens that have heard of a fax machine", on this case we now that:

$X \sim Binom(n=12, p=0.54)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Part a

For this case we want this probability:

$P(X=6)=(12C6)(0.54)^6 (1-0.54)^{12-6}=0.217$

Part b

For this case we want this probability:

$P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)$

$P(X=9)=(12C9)(0.54)^9 (1-0.54)^{12-9}=0.0836$

$P(X=10)=(12C10)(0.54)^{10} (1-0.54)^{12-10}=0.0294$

$P(X=11)=(12C11)(0.54)^{11} (1-0.54)^{12-11}=0.00628$

$P(X=12)=(12C12)(0.54)^{12} (1-0.54)^{12-12}=0.000615$

And adding the values we got:

$P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)= 0.0836+0.0294+0.00628+0.000615 = 0.120$

5 0

3 years ago

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