All categories

3 years ago

How many solutions does this system of equations

Mathematics

1 answer:

Veronika [31]3 years ago

4 0

Answer:

Step-by-step explanation:

infinitely many just because it does

You might be interested in

Write 10 hundredths in standard form

artcher [175]

Ten hundredths: 10/100 = 1/10
Simplifies to: 0.1 (one-tenth)

7 0

4 years ago

The ratio for 42 pens : 35 pencils as a fraction is

labwork [276]

The answer is 42/35
Have a nice day

5 0

3 years ago

Read 2 more answers

If you draw a card with a value of four or less from a standard deck of cards I will pay you $43 if not you pay me $10. Step 1.

Vera_Pavlovna [14]

The expected value of the game is its average earnings

The expected value of a round is $2.23
The expected value when the game is played 755 times is $1683.65

<h3>How to determine the expected value of a round</h3>

There are 12 cards with a value of 4 or less.

So, the probability of selecting a card with a value of 4 or less is:

$P(x \le 4) = \frac{12}{52}$

The probability of selecting a card with a value more than 4 is the complement of the above probability.

So, we have:

$P(x > 4) = 1 - \frac{12}{52}$

$P(x > 4) = \frac{40}{52}$

The expected value is then calculated as:

$E(x) = \frac{12}{52} * 43 - \frac{40}{52} * 10$

Evaluate

$E(x) = \frac{12* 43 - 40 * 10}{52}$

$E(x) = \frac{116}{52}$

Simplify

$E(x) = 2.23$

Hence, the expected value of a round is $2.23

<h3>The expected value when the game is played 755 times</h3>

In (a), we have:

$E(x) = 2.23$

In probability, we have:

$E(nx) = n * E(x)$

So, we have:

$E(755x) = 755 * 2.23$

$E(755x) = 1683.65$

Hence, the expected value when the game is played 755 times is $1683.65