Which statement is true

How much can Sophia spend on party favors

Fantom [35]

Think about you have a pizza. you have 6 people and a total of 12 slices. How many can each person get? 2.

This is the same thing. $2.47 divided by 6 people = $0.46 cents each

8 0

2 years ago

In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers, they win 40,000 dollars. Othe

Darina [25.2K]

Answer:

The expected value of this game is -$0.26.

Step-by-step explanation:

Expected value:

Each possible earning/loss multiplied by it's probability.

Probability:

Number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.

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.

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

Probability of winning:

Desired outcomes:

The 6 correct numbers, so $D = 6$

Total outcomes:

6 numbers from a set of 21. So

$T = C_{21,6} = \frac{21!}{6!15!} = 54264$

Probability:

$p = \frac{1}{54265}$

Expected value

$\frac{1}{54265}$ probability of earning 40,000.

$\frac{54264}{54265}$ probability of losing 1. So

$E = \frac{40,000}{54265} - \frac{54264}{54265} = -0.26$

The expected value of this game is -$0.26.

7 0

3 years ago

What are numbers called that are the same distance from 0 but in opposite directions

aliya0001 [1]

Opposites are the same difference from zero!

3 0

2 years ago

Calculate the area of triangle ABC with altitude BD, given A (−6, 0), B (0, 0), C (0, 6), and D (−3, 3).

nata0808 [166]

Answer:

18 unit²

Step-by-step explanation:

If BD is altitude then AC is the base.

The length of AC is:

AC = $\sqrt{6^2+6^2} = 6\sqrt{2}$

The length of BD is:

BD = $\sqrt{3^2 + 3^2} = 3\sqrt{2}$

The area is:

A = 1/2bh
A = 1/2 * $6\sqrt{2} *3\sqrt{2}$ = 18 unit²

4 0

3 years ago

Read 2 more answers

(c) Find (dy)/(dx) given y = ((1 + 2x)/(1 + x)) ^ 2

hichkok12 [17]

Delete this answer please.

6 0

2 years ago