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3 years ago

What is the volume of the right rectangular prism?

Mathematics

1 answer:

Zepler [3.9K]3 years ago

8 0

Answer:

Volume = 308 $cm^{3}$

Step-by-step explanation:

Volume of a rectangular prism = Height * Width * Depth

Sub in the three values and solve

V = 11 * 7 * 4

V = 308 $cm^{3}$

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Jorge bought 6 large balloons for a party. This was 25% of all the balloons he bought. How many total balloons did Jorge buy sho

riadik2000 [5.3K]

Answer:

The answer would be 24 balloons in total.

Step-by-step explanation:

Jorge bought 6 large balloons, which was 25% of ALL the balloons he bought.

Meaning that since 6 is 25% of the number 24, he bought 24 balloons in total.

PROOF:

25% * 24 = 6

24 / 6 = 4

6 * 4 = 24

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3 years ago

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2 years ago

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3 years ago

Which statement is true about the function?

Tomtit [17]

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3 years ago

The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board offic

Tatiana [17]

Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

$\frac{ n!}{ n1!*n2!*...*nk! }$

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

n by 40 participants
k by 4 groups
n1, n2, n3 and n4 by 10 participants of every subgroups

We get:

$\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}$

Part 2:

The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

$nPk = \frac{ n!}{(n-k)!}$

So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of:

n by 15 doctors
k by 4 offices

We get:

$\frac{ 15!}{ (15-4)! } = 32760$

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3 years ago

Read 2 more answers