To find a perpendicular slope (or line), the slope (in this case 4x) must be the opposite sign and its reciprocal, which is basically the fraction flipped upside down. Since 4 is technically 4/1, that fraction flipped is 1/4. And since you need to flip the sign too, instead of it being a positive number, it's negative. Your answer is -1/4x-8
Answer:
Step-by-step explanation:
188.5
Answer:
3/10
Step-by-step explanation:
=4/7 + 9/70 - 4/10
=l.C.M of 7 , 70 and 10 =70
=4/7 .10/10 +9/70 -4/10 .7/7
=40/70 +9/70 -28/70
=40+9-28/70
=49-28/70
=21/70
=3/10
Answer:
Step-by-step explanation:
11 no
46+4x=90 degree(being perpendicular)
4x=90-46
x=44/4
x=11
12 no
They are complementary angles
6 no
angle B+27=180 degree(being straight line)
angle B=180-27
angle B=153
10 no
angle 38 +angle DFE=180 degree(being supplementary)
angle DFE=180-38
angle DFE=142 degree
5 no
They are vertically opposite angles.
7 no
angle AGF and angle CGD (because they have common arm and vertex)
Answer:
The correct answer is
(0.0128, 0.0532)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence interval 
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of 
For this problem, we have that:
In a random sample of 300 circuits, 10 are defective. This means that 
and 
Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.
So 
= 0.05, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The correct answer is
(0.0128, 0.0532)
