Answer:
The probability of an eighth grader winning is 1/3
Step-by-step explanation:
Total no. of students = 42
Number of students in 7th grade = 21
Number of students in 8th grade = 14
Number of students in 9th grade = 7
Probability of event = 
So,the probability of an eighth grader winning= 
Hence The probability of an eighth grader winning is 1/3
Answer:
b
Step-by-step explanation:
to prove if NP is tangent to MN
we could prove if NPM is a right triangle
By pythagorean theorem
a^2+b^2=c^2
where a=MN=33
b=NP=180
c=MP=MQ+QP=152+33=185
so
33^2+180^2=185^2
but
1089+32400 is not equal to 34225
33489 is different from 34225
5( y + 2/5) = -13
Distribute the 5 by multiplying the 5 by each term inside the set of parentheses:
5y + 2 = -13
Subtract 2 from both sides:
5y = -15
Divide both sides by 5:
Y = 3
The answer is y = 3
18 / 1 = x / 15......18 miles to 1 gallon = x miles to 15 gallon
cross multiply
(1)(x) = (18)(15)
x = 270 miles
Step-by-step explanation:
(3x² + 4x - 8) - (-2x² + 4x + 2)
[3 - (-2) = 5] , [ 4 - 4 = 0] , [ (-8) - 2 = -10]
5x² + 0x - 10
(or)
5x² - 10
