All categories

3 years ago

Pls answer fast im being timed on my assement practice asses quiz math question

Mathematics

1 answer:

Dimas [21]3 years ago

6 0

The distance between the cities are 78 kilometers

You might be interested in

g European roulette. The game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green. A bal

butalik [34]

Answer:

The expected value and standard deviation of your total winnings are -$0.081 and $3 respectively.

Step-by-step explanation:

We are given that the game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green.

Gamblers can place bets on red or black. If the ball lands on their color, they double their money. If it lands on another color, they lose their money.

Let the probability of the ball landing on red slot = $\frac{18}{37}$

The probability of the ball landing on black slot = $\frac{18}{37}$

The probability of the ball landing on green slot = $\frac{1}{37}$

Now, it is stated that Gambler can place bets only on the red or black slot, so;

The probability of winning the bet will be = $\frac{18}{37}$

and the probability of losing the bet will be = $\frac{18}{37}+\frac{1}{37}$

= $\frac{19}{37}$

If the gambler wins he gets $3 and if he loses he will get -$3.

So, the expected value of gambler's total winnings is given by;

E(X) = $\sum X \times P(X)$

= $\$3 \times \frac{18}{37} + (-\$3 \times \frac{19}{37})$

= $\$3 \times (-\frac{1}{37})$ = -$0.081

Now, the standard deviation of gambler's total winnings is given by;

S.D.(X) = $\sqrt{(\sum X^{2} \times P(X))-(\sum X \times P(X))^{2} }$

So, $E(X^{2})=\sum X^{2} \times P(X)$

= $\$3^{2} \times \frac{18}{37} + (-\$3^{2} \times \frac{19}{37})$

= $\$9 \times (\frac{18}{37}+\frac{19}{37})$ = $9

Now, S.D.(X) = $\sqrt{\$9-(-\$0.081)^{2} }$

= $\sqrt{8.993}$ = $2.99 ≈ $3

Hence, the expected value and standard deviation of your total winnings are -$0.081 and $3 respectively.

6 0

3 years ago

I need help with this

alexandr402 [8]

Answer:

Step-by-step explanation:

You pass 3x to the other side so you get 4y = -16 - 3x

to clear y you divide both sides by 4

y = (-16-3x )/ 4

you can simplify this so it so it gives us

y = -4 - 3/4x

5 0

3 years ago

Heidi makes stuffed toys. The initial cost for the raw material is $100 for 30 stuffed toys. Every stuffed toy she makes earns h

KengaRu [80]

She would gain 200 dollars for every 30 stuffed toys, hope this helps since there is no pictures.

8 0

3 years ago

Ivan is saving money to buy a game. So far he has saved 8, which is one-fourth of the total cost of the game. How much does the

Agata [3.3K]

Answer:

The game costs 38.

5 0

3 years ago

Read 2 more answers

What is the degree of this polynomial?2x^2y-4x^5y^7+14xy+3

tangare [24]

It's a seventh degree polynomial :)

3 0

4 years ago