Let P be the population proportion, p be the sample proportion, n be the sample size.
A manufacturer claims that fewer than 6% of its fax machines are defective. It means P=0.06
Sample size n=97 and sample proportion p=0.05
The hypothesis to be tested is
H0: P ≥ 0.06 V/s Ha: P < 0.06
Here the hypothesis for testing population proportion we use z test statistics. Z test statistics is give by
Z = 
Where p =sample proportion = 0.05
p0 = hypothesized proportion value =0.06
Using given values into test statistics we get
Z = 
Z = -0.41
The p-value for left tailed alternative hypothesis is given by
P-value = P(z < z cal)
where zcal = Z test statistics value
Here zcal = -0.41
P-value = P(Z < -0.41)
Using z score table to find probability below z=-0.41
P-value = 0.3409
P-value for testing the given claim is 0.3409
If you mean 40% of the circle with the rotation at the center of the circle, then you do this:
Measure of circle: 360°
Amount of circle's measure: 40%
360 * 40% = 144°
Thus, to take up 40% of the circle you need to have an angle measure of 144°.
Answer:
y2-y1/x2-x1
Step-by-step explanation:
x1= -4 x2= -5
y1= 8 y2= -6
-6-8/-5+4=14
so M = 14
y-y1=m(x-x1)
y-8=14(x+4)
8y=14x+56
rearrange
-14x+8y=56
but you need it in the form of AX+BX=C (THE X SHOULD BE POSITIVE SO CHNAGE ALL THE SIGNS )
14X-8Y=-56
I think the answer is 52% because I got it correct on i-Ready. I really hope this helps because I hate that when you fail you have to redo a lesson.
Have a great day and let me know if this is the right answer.