Charmaine has 360 acres of land. she planted 5/8 of the land with corn. how many acres did she plant with corn?

225

Step-by-step explanation:

Fraction = numerator/denominator

numerator = ×

denominator = ÷

So,

5/8

numerator : 5

denominator : 8

360.5/8 = 1800/8 = 225

Have a nice day!

Hello :)

Answer = 225

5

--- x 360 =?

8

1800

=?

8

225 =?

Have a nice day :)

Check Explanation

Step-by-step explanation:

For the numbers' racket. It was given that the expected amount of winnings per bet of the owner of the game = $0.4 with a standard deviation of $18.96.

So, E(X) = $0.4

σ(X) = $18.96

where X is the random variable for the amount of winnings per bet.

a) Mean of Casper's average winnings x¯ on his 150,000 bets  

Expected average amount of total winnings is E(150,000X)

E(150,000X) = 150,000 × E(X) = 150,000 × 0.4

E(150,000X) = $60,000.00

On a per bet basis, Expected amount of winnings is = $0.40

b) Standard deviation of Casper's average winnings x¯ on his 150,000 bets

Standard deviation on the average winnings for the total winnings of the 150,000 bets = σ(150,000X)

σ(150,000X) = √150,000 × σ(X)

= √150,000 × 18.96 = $7343.176

On a per bet basis, the standard deviation = $18.96

But for the distribution of average winnings per bet for his 150,000 bets, standard deviation of Casper's average winnings per bet on his 150,000 bets is given by

σₓ = (σ/√n) = (18.95/√150,000) = $0.049

c) The approximate probability that Casper's average winnings per bet are between $0.30 and $0.50.

Using the central limit theorem, we can say that the distribution of average winnings per bet approximates a normal distribution.

Mean = μ = $0.40

Standard deviation of this distribution = σₓ = $0.049

To obtain the required probability,

P(0.30 < x < 0.50)

We obtain the standardized scores of these amounts.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

For $0.30,

z = (x - μ)/σ = (0.30 - 0.40)/0.049 = -2.04

For $0.50

z = (x - μ)/σ = (0.50 - 0.40)/0.049 = 2.04

To determine the required probability

We'll use data from the normal probability table for these probabilities

P(0.30 < x < 0.50) = P(-2.04 < z < 2.04)

= P(z < 2.04) - P(z < -2.04)

= 0.97932 - 0.02068

= 0.95864

Hope this Helps!!!