Name the radius of the circle: B F Next Mark For Review

Mathematics

1 answer:

alexandr1967 [171]3 years ago

5 0

Answer:

Step-by-step explanation:

bc B is circumference and can not b radius.

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A cylinder has a a radius of 18in and a<br> height of 21in. Find its volume.

IgorLugansk [536]

Answer:

Just Multiply them together

Step-by-step explanation:

4 0

3 years ago

Lisa and Krystal are planning trips to ten countries this year. They have 14 countries on their bucket list, in how many ways ca

Salsk061 [2.6K]

Answer:

1,001 ways for them to decide.

Step-by-step explanation:

The order in which they will visit the countries is not important, so we use the combinations formula to solve this question.

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.

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

In this question:

10 countries from a set of 14. So

$C_{14,10} = \frac{14!}{10!(14-10)!} = 1001$

1,001 ways for them to decide.

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3 years ago

Among 18 students in a room, 7 study mathematics, 10 study science, and 10 study computer programming. Also, 3 study mathematics

tatyana61 [14]

Answer:

2 students study none of the subjects.

Step-by-step explanation:

Consider the attached venn diagram. First, we place that 1 student studies the three subjects. Then, we notice that 3 students study math and science, then 2 students study math and science only, since we have 1 that studies the three subjects. In the same fashion, we have that 3 students study Math and computer programming only (since they are 4 in total). Note that since 7 students study math, and we already have 6 students in our count in the math subject this implies that 1 student studies only math (the total number of students inside the math circle must add to 7).

We also have that 4 students study science and computer programming only. Which implies that we must have 3 students that study science only (10 students that study science in total) and 2 students study computer programming (for a total of 10 students). The total number of students that study none is the total number of students (18) minus the amount of students that is inside the circles (16) which is 2.