Answer:
x= -10 and true
Step-by-step explanation:
if you plug -10 in for x you get -22=-22 which makes it true
Answer:
-4
Step-by-step explanation:
Slope = y2 - y1/x2 - x1
Given
x1 = 6
y1 = 2
x2 = 4
y2 = 10
Therefore
Slope = 10 - 2/4 - 6
= 8/-2
= -4
Answer:
x=13 and y=sqrt338
Step-by-step explanation:
so basically the opposite of one of the 45 degrees is 13 so the other 45 degrees is 13 too and you find pythagorean theorem of the other one
Answer:
8.0
Step-by-step explanation:
7.538 start from 8 which is in the thousandth place. 8 will make the 3 turn into 4. 4 is too low so it doesn't change the 5. the 5 change the 7 to 8. so anything that is 5 and up you round up
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