Answer: 
3026
30
Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:
Assuming x represents the random male selected and y represents the random female selected:
3026
The average sum of their scores is 3026.
Average difference is the difference between the expected value (mean) of each gender:
1528 - 1498
30
The average difference of their scores is 30.
C. I, II, and III
I’m sure it’s the answer not positive though, I’m sorry.
Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
1. m∠1 + m∠2 = 180°
2. Definition of bisector
3. m∠1 + m∠3 = 180°
4. Substitution Property of Equality
