Answer:
Step-by-step explanation:
Using the sample size formula
n= (zs/e)²
z is the z score at 99% = 2.58
s is the standard deviation = 250
e is the sample mean = 50
Substitute
n = (2.58×250/50)²
n = (2.58×5)²
n = (12.9)²
n=166.41
hence the sample size is 166.41
Hello!
The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.
The value of the discriminant will tell us how many solutions there are to the given quadratic equation.
A positive discriminant will have two real solutions.
A discriminant of zero will have one real solution.
A negative discriminant will no real solutions.
1. Substitute, a = 16, b = 8, c = 1.
8² - 4(16)(1)
64 - 4(16)(1)
64 - 64(1)
64 - 64
0
Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.
Parentheses. Exponents. Multiplication Division. Addition Subtraction.
2) 6 x (11 - 5)- 7^2
6 x (6) - 7^2
6 x 6 - 49
36 - 49
-13
3) (40 - 2^2) / (-4 + 6)
(40 - 4) / (-4 + 6)
(36) / (2)
36/2
13/1
13
4) (66 - 6) / 6 - 2^2
(60) / 6 - 2^2
60 / 6 - 4
60 / 2
30 / 1
30
Answer:5/18=.2777777777777
Step-by-step explanation:
.27777 (7 repeating)
100x=27.7777
10x= 2.7777
Subtract
90x=25
x=25/90=5/18
Check
5/18=.2777777777777
Hope that helps.
