*will fan and medal* jonathan's piggy bank contains 20 nickels, 30 quarters, and 50 one-dollar coins. he picks 20 coins from the bank at random; 12 of these coins are one-dollar coins. the theoretical probability of picking a one-dollar coin from the piggy bank before the draw is blank %, but the experimental probability, based on the draw, is blank %. what is blank 1? what is blank 2?

If we sum up all the coins in the piggy bank, we get 100 coins. Since there are 50 one-dollar coin in the bank, the probability of picking a one-dollar coin out of the 100 coins is 50/100 which is equal to 50%. 

For the second blank, the experimental probability is equal to 12/50 which is equal to 24%. 

There are 10⁻⁷ hydrogen ions in one-liter water

Step-by-step explanation:

Hi there!

a. If the pH = 7.0, then:

-log(H) = 7.0

multiply both sides of the equation  by -1

log(H) = -7.0

Apply 10ˣ to both sides

10^(log (H)) = 10⁻⁷

(H) = 10⁻⁷

There are 10⁻⁷ hydrogen ions in one-liter water.

Why 10^(log (H)) = (H)?

Let´s consider this function:

y = 10^(log x)

(Apply log to both sides)

log y = log 10^(log x)

(Apply logarithmic property: log xᵃ = a · log x)

log y = log x · log 10

(log 10 = 1)

log y = log x

y = x

(since y =  10^(log x) and y = x):

10^(log x) = x

That´s why 10^(log (H)) = (H)