Andros has an oil fired heating system. In a 30-day period he used a full tank of oil at a constant rate per day. At a different

Jessica is selecting multiple bunches of bananas
We need to identify which banana offer provides the best deal
=> 10 pounds of bananas priced at $14.90
To determine the unit price, divide 14.90 by 10
=> 14.90 / 10
=> 1.49, hence, each pound of bananas costs $1.49
For the second offer
=> 8 pounds of bananas for $12.08
=> 12.08 / 8
=> 1.51 dollars is the cost per pound of bananas.

Consequently, the most advantageous banana deal is the 10 pounds for $14.90.

Customer arrivals at a fast-food outlet conform to a Poisson distribution with an average rate of 16 customers per hour. In statistical probability analysis, the Poisson distribution is a commonly utilized discrete probability distribution. Employing the formula, it has been calculated that 0.0661 represents the probability of there being precisely 12 arrivals in the next hour.

Answer:

0.8 or 80%

Step-by-step explanation:

Let A and B denote the different events

A: “The concert attendee visited Orlampa Skydome”

B: “The concert attendee visited the Bithlo Megaplax”

Thus, the probability P(A) of a concert attendee visiting Orlampa Skydome is

P(A) = 120/200 = 0.6

In a similar manner,

P(B) = 100/200 = 0.5

We seek to determine P(A∪B), which represents the odds that a concert attendee went to either Orlampa Skydome OR the Bithlo Megaplax.

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

but P(A∩B) signifies the possibility that a concert attendee went to both Orlampa Skydome AND the Bithlo Megaplax.

Given that the events are independent,  

P(A∩B) = P(A)P(B) = 0.6*0.5 = 0.3

and

P(A∪B) = 0.6 +0.5 - 0.3 = 0.8 or 80%

The accurate selections are: 1. For both families, the graph representing the connection between the number of pizzas (x) and the amount of slices (y) intersects at the origin (0, 0) and forms a straight line. 2. If the Wilson family orders 3 large pizzas from the same pizza shop as the Hernandez family, they will have a greater number of slices than the Hernandez family once the pizzas are sliced. The equations for the relationships between total slices (y) and pizzas ordered (x) are as follows: y = a × x, where 'a' indicates slices per pizza. For the Hernandez family, we have y = 24 when x = 3, resulting in a = 24/3 = 8 slices per pizza, producing the equation y = 8 × x. For the Wilson family, the relationship is represented by y = 10 × x. When both families’ equations are plotted, the result is straight-line graphs with a y-intercept of 0, meaning they pass through (0, 0). Thus, if the Wilsons order 3 large pizzas, they will have y = 10 × 3 = 30 slices, exceeding the Hernandez family's 24 slices.

Answer:

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

Step-by-step explanation:

In European roulette, a wheel with 37 slots is spun: 18 are red, 18 are black, and 1 is green.

Bettors can wager on either red or black. Winning on their chosen color means they double their bet, while losing means they forfeit their stake.

Define the probability for the ball landing in a red slot =

The probability of it landing in a black slot =

The probability for landing in the green slot =

Since bets are only placed on red or black,

The winning probability =

and losing probability =

=

If a gambler wins, they receive $3, and if they lose, it amounts to -$3.

The expected value of the total winnings is hence;

E(X) =

=

=  = -$0.081

Furthermore, the standard deviation of the total winnings is given by;

S.D.(X) =

<pTherefore,

=

=  = $9

Thus, S.D.(X) =

=  = $2.99 ≈ $3

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