Answer:
Yes, result is significant ; PVALUE < α
Step-by-step explanation:
Given :
x = 536
n = sample size = 1012
Phat = x / n = 536 / 1012 = 0.5296 = 0.53
H0 : P0 = 0.5
H1 : P0 > 0.5
Test statistic :
(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]
1-P0 = 1 - 0.5 = 0.5
(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]
0.03 ÷ 0.0157173
= 1.9087
Pvalue :
Using the Pvalue from test statistic :
Pvalue = 0.02815
To test if result is significant :
α = 0.05
0.02815 < 0.05
Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.
Answer:
B. and C.
Step-by-step explanation:
1. Set the polynomial equal to zero:
x² + 5x + 7 = 0
2. Plug the given values of a, b, and c into the quadratic formula:

3. Solve the square root:



4. Simplify the rest:

5. Separate the solutions:

Thus, options B and C are the answers.
hope this helps!
Answer:
6
Step-by-step explanation:
Straight line is 180
square = right angle=90
180-90=90
5x+(x+54)=90
6x+54=90
6x=36
x=6
Hope this helps :D
Answer:
it is equivalent
Step-by-step explanation:
Answer:

Step-by-step explanation:
Another way to express 56 is
because they are equal values.