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Umnica [9.8K]
4 years ago
11

The cube has a volume of 27 in3. Find the volume of a scaled image with a scale factor of 2. in3 Cube with a side length of thre

e inches
Mathematics
1 answer:
WINSTONCH [101]4 years ago
7 0
The new size of cube's side is 6. V new cube = 6*6*6 = 216 

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PLEASE HELP IT"S URGENT <br> Which figure has the greater Volume??
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PLEASE HELP!!!
ki77a [65]
Part A:
I have attached the graph of this system of inequalities.

Part B:
Plug in (8,10) into both equations

10 > 3(8) + 10
10 > 24 + 10
10 > 34

This is false!

10 < (-3/4)(8) - 1
10 < (-3)(2) - 1
10 < -6 - 1
10 < -7

This is also false!

So, (8,10) is not included in the solution area for the system.

3 0
3 years ago
How many possible committees of 4 people can be chosen from 15 men and 20 women so that at least two women should be on each com
Mnenie [13.5K]

<span>If there has to be 2 men and 2 women, we know that we must take a group of 2 men out of the group of 15 men and a group of 2 women out of the group of 20 women. Therefore, we have:

(15 choose 2) x (20 choose 2)


(15 choose 2) = 105

(20 choose 2) = 190

190*105 = 19950

Therefore, there are 19950 ways to have a group of 4 with 2 men and 2women.</span>

 

<span>If there has to be 1 man and 3 women, we know that we must take a group of 1 man out of the group of 15 men and a group of 3 women out of the group of 20 women. Therefore, we have:

(15 choose 1) x (20 choose 3)


(15 choose 1) = 15

(20 choose 3) = 1140

15*1140 = 17100

Therefore, there are 17100 ways to have a group of 4 with 3 women and 1 man.</span>

 

<span>We now find the total outcomes of having a group with 4 women.

We know this is the same as saying (20 choose 4) = 4845</span>

Therefore, there are 4845 ways to have a group of 4 with 4 women.

 

We now add the outcomes of 2 women, 3 women, and 4 women and get the total ways that a committee can have at least 2 women.

 

19950 + 17100 + 4845 = 41895 ways that there will be at least 2 women in the committee


5 0
3 years ago
In your university nursing program the ratio of students who scored a grade of A vs B vs C on the final exam is 12:29:9. Assumin
Scilla [17]

Answer:

Hence, the correct option is 82%.

Step-by-step explanation:

Consider the provided information.

In your university nursing program the ratio of students who scored a grade of A vs B vs C on the final exam is 12:29:9.

We need to find the percentage of student who scored a grade of "B" or higher.

Let x is the common factor for the proportion.

Then, the number of students who got grade A is 12x

The number of students who got grade B is 29x

The number of students who got grade C is 9x.

Thus the total number of students = 12x+29x+9x = 50x

The percentage of student who scored a grade of "B" or higher:

12x+29x = 41x

\frac{41x}{50x}\times{100}=82\%

Hence, the correct option is 82%.

8 0
3 years ago
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