2/3 + 0.75 in the simplest form

Your school’s baseball team sells 1250 raffle tickets at $4 each. The grand prize is a $3000 boat. The second prize is a $450 gr

densk [106]

Answer:

The expected value of the winnings for a single-ticket purchase is -$1.0016.

Step-by-step explanation:

The total number of tickets sold is, N = 1250.

Cost of one ticket is, $4.

Let X = amount of prize.

The prize distribution is as follows:

1 Grand price = $3000

1 Second prize = $450

10 Third prize = $25

The expected value X can be computed using the formula:

$E(X)=\sum x.P(X)$

Compute the probability distribution of X as follows:

Prize Amount (X) P (X) x · P (X)

1 Grand prize $3000 $\frac{1}{1250}=0.0008$ $\$3000\times 0.0008=2.4$

1 Second prize $450 $\frac{1}{1249}=0.0008$ $\$450\times 0.0008=0.36$

10 Third prize $25 $\frac{10}{1248}=0.008$ $\$25\times 0.008=0.2$

No prize -$4 $1-\sum P(Win)\\=0.9904$ $-\$4\times 0.9904=-3.9616$

TOTAL 1.0000 -1.0016

Thus, the expected value of the winnings for a single-ticket purchase is -$1.0016.

5 0

3 years ago

Which of the following expressions to 36x + 24y? choose all that apply.

Kruka [31]

6(6x + 4y)

12(3x + 2y)

4(9x + 6y)

8 0

3 years ago

Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?

Andrej [43]

The general equation of a quadratic is expressed as y = ax^2+bx+c. To convert the general equation to vertex form, we need to obtain this form:

(y- k)= a(x - h)^2

This could be done by using completing the square method.

y = –3x^2 – 12x – 2
y + 2 = –3(x^2 + 4x)
y + 2 -12 = –3(x^2 + 4x + 4)
y - 10 = -3(x+2)^2

Therefore, the answer is the first option.

3 0

4 years ago

Read 2 more answers

A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the ten

AfilCa [17]

Answer:

35.11 ft

Step-by-step explanation:

This given situation can be thought of as triangle $\triangle PQR$ where PQ is the length of pole.

PR is the length of rope.

and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

And $\angle Q \neq 90^\circ$

Given that:

PQ = 44 ft

PR = 51 ft

$\angle R = 58^\circ$

To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ$

Now,

$\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ$

Let us use the Sine rule again:

$\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft$

So, the answer is 35.11 ft.

3 0

3 years ago

Find x picture listed

never [62]

Answer:

x = 15

Step-by-step explanation:

A full circle = 360°

Therefore,

(8x - 10)° + (6x)° + (10x + 10)° = 360°

Solve for x

8x - 10 + 6x + 10x + 10 = 360

Add like terms

24x = 360

Divide both sides by 24

x = 360/24

x = 15

5 0

3 years ago