Find an equation for each line

In the lottery every week, 2,000,000 tickets are sold for $1 apiece. Say 4000 of these tickets pay off $30 each, 500 pay off $80

jarptica [38.1K]

The expected value is just the weighted average of how much one ticket wins. To calculate it, we need to find the probabilities of winning each dollar amount, multiply each probability with it's respective dollar amount, then find the sum.

Let's call the winnings from one ticket X:

P(X=30) = 4000/2000000 = 0.002

P(X=800) = 500/2000000 = 0.00025

P(X=1200000) = 1/2000000 = 0.0000005

E(X) = 30*P(X=30) + 800*P(X=800) + 1200000*P(X=1200000) = 0.06 + 0.2 + 0.6 = 0.86

The answer is $0.86

4 0

4 years ago

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!

mamaluj [8]

Answer:

☆ Emily has $16 more

Step-by-step explanation:

FOR JAXON:

You want to calculate the interest on $600 at 2.5% interest per year after 3 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $600.00.

r is the interest rate, 2.5% per year, or in decimal form, 2.5/100=0.025.

t is the time involved, 3....year(s) time periods.

So, t is 3....year time periods.

To find the simple interest, we multiply 600 × 0.025 × 3 to get that:

The interest is: $45.00

Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),

or 600.00 + 45.00 = 645.00.

Jaxon will have $645 after he closes his account.

FOR EMILY

You want to calculate the interest on $600 at 5.1% interest per year after 2 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $600.00.

r is the interest rate, 5.1% per year, or in decimal form, 5.1/100=0.051.

t is the time involved, 2....year(s) time periods.

So, t is 2....year time periods.

To find the simple interest, we multiply 600 × 0.051 × 2 to get that:

The interest is: $61.20

Usually now, the interest is added onto the principal to figure some new amount after 2 year(s),

or 600.00 + 61.20 = 661.20.

Emily will have $661 when she closes her account.

☆ Therefore, Emily will have $16 more than Jaxon.

I would really appreciate if you would mark me brainliest!!

I hope you have a good day!!! ☆ :D

8 0

3 years ago

A clerk at the butcher shop is six feet tall and wears size 10 shoes. What does he weigh?

VikaD [51]

Answer:

he will weigh 300 lbs.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Phil is going to store to buy a hat and a coat. The coat cost 3 times as much as the hat. His mom tells him that he cannot spend

Oduvanchick [21]

Answer:

Step-by-step explanation:

Phil is going to store to buy a hat and a coat.

Let $x represent the cost of the cos of the hat. The coat cost 3 times as much as the hat. It means that the cost of the coat will be 3×x = $3x

His mom tells him that he cannot spend more than $120. Assuming he spends exactly $120. It means that

3x + x = 120

4x = 120

x = 120/ 4 = 30

The hat costs $30

The coat costs 30×3 = $90

The most he can spend on a coat is $90 since he cannot spend more than $120

5 0

3 years ago

Adriana needs to send 232 invitations to her family and friends for her party. There are 12 invitations in a box. How many boxes

o-na [289]

Answer:

19

Step-by-step explanation:

Adriana needs to send 232 invitations to her family and friends for her party.

There are 12 invitations in a box.

We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :

$x=\dfrac{232}{12}\\\\x=19.34$

or

x = 19

So, she will need approx 19 boxes.

7 0

3 years ago