Amika is 4 years old than her brother. In two years she will be twice as old as her brother. What are their ages now?

In the game of roulette, a player can place a $4 bet on the number 23 and have a StartFraction 1 Over 38 EndFraction probabili

Lina20 [59]

Answer:

a.The expected value of the game to the player is -$0.2105

b. The player should expect to lose $210.50¢ if he/she places the bet or plays the game 1,000 times

Step-by-step explanation:

Please kindly check the attached files for explanation.

6 0

4 years ago

Solve the system of equations using substitution.

Delicious77 [7]

Answer:

no solution

Step-by-step explanation:

x cancel out each other

4 0

3 years ago

Read 2 more answers

Using the digits 1 to 9 at most one time each, fill in the boxes to find the largest (or smallest) possible values for x.

Mice21 [21]

Answer:

smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

ax -b = c

dy +e = f

Then the values of x and y are ...

x = (c +b)/a

y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

Smallest sum

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

8x -3 = 4 ⇒ x = 7/8

1y +9 = 2 ⇒ y = -7

For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

Largest sum

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

1x -9 = 8 ⇒ x = 17

2y +3 = 7 ⇒ y = 2

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

Additional comment

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

8 0

3 years ago

Working independently at the same constant rate, 9 machines can fill an order in 20 hours. How many of these machines, working i

Katena32 [7]

Answer: 4 machines

Step-by-step explanation:

In the given situation, the number of machines is inversely proportional to the time taken by them.

Given : 9 machines can fill an order in 20 hours.

Let n be the number of machines required to fill the same order in 45 hours.

Then , we have the following inverse variation equation:-

$n\times 45=9\times20\\\\\Rightarrow\ n=\dfrac{9\times20}{45}=4$

Hence, the 4 machines would be needed to fill the same order in 45 hours.

8 0

3 years ago

On a scale drawing with a scale of 1/80, the height of a building is 9.75 inches. How tall is the actual building?

zmey [24]

The actual building is 780 inches

3 0

4 years ago

Amika is 4 years old than her brother. In two years she will be twice as old as her brother. What are their ages now?​

Amika is 4 years old than her brother. In two years she will be twice as old as her brother. What are their ages now?