Answer:
z= 2.38
P = 0.008656
Step-by-step explanation:
Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072
We formulate our null and alternate hypothesis as
H0 = 0.9 ; H0 > 0.9
The degree of confidence = 90%
z₀.₀₅ = 1.645 for α= 0.05
We use the test statistic
z= x- np/√npq
z= 466-500 *0.9/ √500 * 0.9(1-0.9)
z= 466- 450/ √45
z= 16/6.7082
z= 2.38
As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.
If H0 is true the P value is calculated as
P = 1- Ф( 2.38)
P = 1-0.991344=0.008656
Since x and 82° lie along the same straight line, they must sum to 180° so:
x=180-82
x=98°
Answer:
100
Step-by-step explanation:
10x10
10 times 10 is equal to 100.
Answer is 188
3x2 - 5xy + 5y2
Now put x = -6 and y = 2
3(-6)2 - 5(-6)(2) + 5(2)2
3(36) - 5(-12) + 5(4)
108 + 60 + 20
188
