65 lol buddy i think im right
Answer:
Probability both are nervous around strangers = 0.0049
Probability at least one is nervous around strangers = 0.1302
Step-by-step explanation:
Let probability a person selected in the population is nervous around strangers = P
P = 7%
P =
P = 0.07
Let probability a person selected in the population is not nervous around strangers = P'
P' = 1 - P
P' = 1 - 0.07
P' = 0.93
(i) probability of the first person selected is nervous around strangers = P
probability of the second person selected is nervous around strangers = P
Probability both are nervous around strangers = (P × P)
= 0.07 × 0.07
= 0.0049
(ii) Probability at least one is nervous around strangers = ( probability the first person is nervous around strangers AND the second person is not nervous around strangers ) OR ( probability the second person is nervous around strangers AND the first person is not nervous around strangers)
This implies,
Probability at least one is nervous around strangers = (P × P') or (P × P')
= (0.07 × 0.93) + (0.07 × 0.93)
= 0.0651 + 0.0651
= 0.1302
A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.
Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b
-2 = (3/4)*(12) + b
You'll get b= -11
So the equation of the parallel line intersecting the point given is y= 3/4x -11.
I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.
x-intercept(s):
(
7
,
0
)
, (-1,0)
y-intercept(s):
(0,-7)
Step-by-step explanation:
F = 18 ft.
The law of cosines states
c² = a² + b² - 2ab cos C
Using our information, we have
c² = 23² + 16² - 2(23)(16)cos 52
c² = 529 + 256 - 736cos 52
c² = 785 - 736cos 52
c² = 331.8732
Taking the square root of both sides, we have
c = √331.8732 = 18.22 ≈ 18