The system of equations has one solution
Answer:
0.8185 or 81.85%
Step-by-step explanation:
The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.
The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean the z sore is negative. It is given by:

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.
For 8 inches:

For 12.5 inches:

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%
Use pythagorean theorem
c2 = a2 + b2
c2 = 1.5^2 + 2^2
c2 = 2.25 + 4
c2 = 6.25
c = 2.5
A) Tonya bought 3 games at X price, so 3X would be total amount.
B) Tony's cost was 0.50 less than X, so x-0.50, he bought 4 games, so he spent 4(x-0.50).
C) Set those to equal to solve for x:
3x = 4(x-0.50)
D) Solve:
3x = 4(x-0.50)
Distribute:
3x = 4x - 2
Subtract 4x from both sides:
-X = -2
Multiply both sides by -1:
X = 2
E) Since X is the amount Tonya paid per game, Tony paid X - 0.50, so Tony paid 2 - 0.50 = $1.50 per game.
Check:
Tonya: 3x = 3(2) = $6 total
Tony: 4(x-0.50) = 4(2.00 - 0.50) = 4(1.50) = $6 total
Answer:
use a translation
Step-by-step explanation:
sorry