The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately normal distribution with a mean of 123.8 degrees Fahrenheit and standard deviation of 3.1 deg. F (Weather Source, 2009). What is the probability for a given year that the temperature never exceeds 120 deg. F in a given July in Death Valley? Include leading zero, and state your answer to 3 decimal places.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

answer: x=60