Can you help me on question 25?!

Two people are to be selected from a group of five employees: Jane, Jan, Jack, John and Joe.

AlexFokin [52]

Answer:

a) 10

b) $\frac{4}{10}$

c) $\frac{6}{10}$

d) 20

Step-by-step explanation:

Hi,

There are two ways of solving counting problems:

1. Combination: It is used when order does not matter.

2. Permutation: It is used when order does matter.

a)

We use combination, order doesn't matter.

There are five total members, we need to select two.

n = 5 and r = 2

$5C2 = 10$

b)

We are fixing one seat for Jack. Hence only four people are left, any one of them can take the other seat.

n = 4 and r = 1

$4C1 = 4$

There are 4 possibilities where Jack will be selected from a total of 10 possibilities (as calculated in part a. )

$\frac{4}{10}$ is the total probability of selection.

c)

To select Jack or Jane, means having one seat fixed for either of them.

$2C1 = 2$

To select any one the other three members, the possibilities are:

$3C1 = 3$

In the rules of probability, and = multiplication; or = addition.

Here, we are considering an "AND" situation.

$2$ × $3$ $= 6$ are the total instances of having Jack or Jane on one seat out of a total of 10 possibilities (as calculated in part a)

The probability then changes to $\frac{6}{10}$

d)

Here we use Permutation since order does matter.

There are 5 people and 2 are to be selected.

n = 5 ; r = 2

$5P2 = 20$

Formula:

Combination: $\frac{n!}{(n-k)! k!}$

Permutation: $\frac{n!}{(n-k)!}$

7 0

4 years ago

Pls help, some question I already have the answer but its different from the book answer

ser-zykov [4K]

You need to calculate the height of the cone which would be OV, not VB

Using Pythagorean theorem:

OV = sqrt(37^2-12^2)

OV = 35

Now you have the height to solve everything.

This is a semi circle so volume and surface area would be 1/2 of a full cone.

A) v = 1/2 x pi x r^2 x h/3

V = 1/2 x pi x 12^2 x 35/3

V = 1/2 x pi x 144 x 35/3

V = 840pi

B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))

Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))

Sa= 923.63 round as needed.

C) volume of hemisphere with 4cm diameter:

2/3 x pi x 2^3 = 5.33pi

Divide volume of semi cone by volume of hemisphere:

840pi/5.33pi = 157.5

8 0

3 years ago

Given the point and slope write the equation of the line (-4, 0); slope = 1/2

Gwar [14]

Answer:

The equation of the line will be:

$y=\frac{1}{2}x+2$

Step-by-step explanation:

Given the point

(-4, 0)

slope = m = 1/2

As the equation of a line in slope-intercept form is

$y-y_1=m\left(x-x_1\right)$

where m is the slope

substituting the values m = 1/2 and the point (-4, 0)

$y-y_1=m\left(x-x_1\right)$

$y-0=\frac{1}{2}\left(x-\left(-4\right)\right)$

$y=\frac{1}{2}\left(x-\left(-4\right)\right)$

$y=\frac{1}{2}\left(x+4\right)$

$y=\frac{1}{2}x+\frac{4}{2}$

$y=\frac{1}{2}x+2$

Therefore, the equation of the line will be:

$y=\frac{1}{2}x+2$

3 0

3 years ago

I’ll love u forever if u help me wit dis ASAP ;)

CaHeK987 [17]

I can’t help you but here are some notes I took on the topic

5 0

3 years ago

Which of the following statements is false regarding randomization?

Tanzania [10]

Answer:

B

Step-by-step explanation:

the other person is wrong

4 0

3 years ago