What is the volume of the cone? A.16.8 B.33.5 C.134.0 D.8.4

A middle school took all of its 6th grade students on a field trip to see a ballet. The

Advocard [28]

By working with percentages, we will see that there are 1,080 seats in the theater.

<h3>How many total seats were in the theater?</h3>

We know that the students filled 702 seats, leaving 35% vacant.

Then 702 seats represents the (100% - 35% = 65%) of the total number of seats.

So, if the total number of seats is S, we can write:

(65%/100%)*S as the 65% of S.

Then we solve:

(65%/100%)*S = 702

0.65*S = 702

S = 702/0.65 = 1,080

There are 1,080 seats in the theater.

If you want to learn more about percentages, you can read:

brainly.com/question/843074

4 0

2 years ago

In a factory there are 100100 units of a certain product, 55 of which are defective. We pick three units from the 100 units at r

Nadya [2.5K]

Answer:

There is a 33.67% probability that exactly one of them is defective.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Here, we can have different formats. For example, D-ND-ND is the same as ND-D-ND, that is, the ordering is not important. So we use the combinations formula.

Combinations formula:

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

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

Desired outcomes

One defective(one from a set of 55) and two non defective(two from a set of 45). So

$D = C_{55,1}*C_{45,2} = \frac{55!}{54!1}*\frac{45!}{43!2!} = 55*45*22 = 54450$

Total outcomes

Three from a set of 100. So

$T = C_{100,3} = \frac{100!}{97!3!} = 161700$

What is the probability that exactly one of them is defective

$P = \frac{D}{T} = \frac{54450}{161700} = 0.3367$

There is a 33.67% probability that exactly one of them is defective.

4 0

3 years ago

the ratio of the measures of three angles of a triangle 5:7:8. find the measure of each angle of the triangle

Eva8 [605]

Let the measures of three angles be 5x, 7x, 8x
Sum of angles of a triangle = 180°
5x + 7x+ 8x = 180°
20x = 180
x = 180/20 = 9
First angle = 5x = 5*9 = 45°
Second angle = 7x = 7*9 = 63°
Third angle = 8x = 8*9 = 72°
I hope it is helpful:D

5 0

3 years ago

Read 2 more answers

During a school tournament, Team A had 10 of its 12 team members present.

jonny [76]

Answer:

Team A.

Step-by-step explanation:

We know that Team A had 10 of its 12 members present.

We can write this as the following fraction:

$A=10/12$

We can convert this to a decimal by dividing the two numbers. Use a calculator:

$A\approx.8333$

And we can convert this to a percent by moving the decimal too places to the right and by adding a percent sign:

$A\approx83.33\%$

So, about 83.33% of members on Team A was present.

We know that Team B had 13 of its 15 members present.

We can write this as the following fraction:

$B=13/15$

Again, we can convert this to a decimal by dividing the two numbers:

$B\approx 0.8667$

Change this to a percent:

$B\approx86.67\%$

So, Team A had a participation rate of 83.33% while Team B had a participation rate of 86.67%.

So, the team that had the lesser percent of the team present at the tournament is Team A.

And we're done!

6 0

3 years ago

The length of a side of a square is . If the area of the square is 12, find x.

Irina18 [472]

Question :
The length of a side of a square is . If the area of the square is 12, find x.
Answer :
 $area\ of\ the\ square = side \times side$

 $12 = x \times x$

 $12 = x^{2}$

 $x^{2}=12$

 $x= \sqrt{12}$

 $x= \sqrt{4 \times 3}$

 $x= 2\sqrt{3}$

5 0

4 years ago

Read 2 more answers