Any tangent line to
at a point
will have slope
. Such a line has equation
For this (these) line(s) to pass through (2, -3), you must have
So the two lines in questions are
for these values of
.
To show there is no tangent line that passes through (2, 7), you have to show there is no solution for
in
You have
but this has no real solutions, so no such tangent line exists.
140 total members. 35 is just 1/4 of the members there so you can just multiply it 4 times to get your answer because 100% of members is 140
35 = 25%
70 = 50%
105 = 75%
140 = 100%
Answer:
B. 0.4542 to 0.5105
Step-by-step explanation:
A 90% confidence interval for p is calculated as:
This apply if n*p≥5 and n*(1-p)≥5
Where p is the proportion of sample, n is the size of the sample and is equal to 1.645 for a 90% confidence.
Then, in this case p, n*p and n*(1-p) are calculated as:
n*p = (850)(0.4824) = 410
n*(1-p) = (850)(1-0.4824) = 440
So, replacing values we get:
It means that a 90% confidence interval for p is 0.4542 to 0.5105
Answer:
D.
Step-by-step explanation:
Because they can be divided by 3 making the top 3 and the bottom 4 which would then = 3/4
Answer:
(2/3)
Step-by-step explanation:
-2y = 3x + 7
y = 3/-2 + 7/-2
y = (-3/2) + (-7/2)
find the reciprocal of the slope (-3/2) which gets you the perpendicular slope of (2/3)