Independent Variable is the lightning, while your location is the dependent. because the lightning doesn't depend on where you are to occur yet your location does for you to hear/see it
Answer:
(f•g)(-5) = -238
Step-by-step explanation:
We have that:
f(x) = -3x + 2
g(x) = 4x + 6
Find (f•g)(-5).
First we find (f.g)(x)
So
f(x)*g(x) = (-3x + 2)*(4x + 6) = -12x² -10x + 12
When x = -5
-12(-5)² - 10(-5) + 12 = -238
(f•g)(-5) = -238
Y= 3/4x - 2 (-2,10)= (x1,y1)
The slope is -4/3 of the perpendicular line:
Then:
y-y1=m(x-x1)
y-10=(-4/3)(x+2)
y=-(4/3)x -8/3 +10
y= -(4/3)x +22/3 (That's the answer)
Answer:
1/3, 5/12, 1/2, 3/4
Step-by-step explanation:
Answer:
We need a sample of size at least 13.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

90% confidence interval: (0.438, 0.642).
The proportion estimate is the halfway point of these two bounds. So

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?
We need a sample of size at least n.
n is found when M = 0.08. So






Rounding up
We need a sample of size at least 13.