Answer:
x=10
Step-by-step explanation:
13x-7+7x-13=180
Combine like terms
20x-20 = 180
Add 20 to each side
20x -20+20 = 180+20
20x=200
Divide by 20
20x/20 = 200/20
x = 10
Answer:
A right angle is neither Obtuse nor Acute
Step-by-step explanation:
Answer:
quadrant 1.
Step-by-step explanation:
A:(9,3)
B:(7,5)
C:(5,2)
Hope this helped you.
Answer:
y = 4x - 2
Step-by-step explanation:
m = y-y/x-x
m = 6-(-2)/2-0
m = 8/2
m = 4
Answer:
a. 2.28%
b. 30.85%
c. 628.16
d. 474.67
Step-by-step explanation:
For a given value x, the related z-score is computed as z = (x-500)/100.
a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)
b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)
c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552
d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653
