Answer:
Step-by-step explanation:
Given
equation of circle
Equation of tangent passing through (1,1)
Slope of tangent is given by differentiating equation of circle
at
Equation of line with slope
Step-by-step explanation:
Let T be the event that she hot the target and W be the event that there was a gust of wind.
P(T | W) = 0.4
P(T | W') = 0.7
P(W) = 0.3
P(W') = 1 - 0.3 = 0.7
a) P(W T) = P(W) x P(T | W)
= 0.3 x 0.4
= 0.12
b) P(T) = P(W T) + P(W' T)
= 0.12 + 0.7 x 0.7
= 0.61
c) P(she hits the target exactly once in two shots) = P(hits the target on first shot and misses on the second) + P(misses the target on first shot and hits on the second)
= 0.61 x (1-0.61) + (1-0.61) x 0.61
= 0.4758
d) P(W' | T') = P(T'W')/P(T') [Bayes' theorem]
= [0.7 x (1-0.7)]/[0.7 x (1-0.7) + 0.3 x (1-0.4)]
= 0.5385
Answer:
RQP
Step-by-step explanation:
i think RQP(not sure)
Answer:
8 ounces of canned tomatoes and 1 cup of cooked macaroni.
Step-by-step explanation:
Since the recipe makes 8 servings and you only want to make 2 servings, all you have to do is divide the amount of ingredients by 4.
If 8 servings call for 32 ounces of canned tomatoes, we only need 8 ounces of canned tomatoes to make 2 servings.
If 8 servings call for 4 cups of cooked macaroni, we only need 1 cup of cooked macaroni to make 2 servings.
Answer:
ASA postulate
Step-by-step explanation:
SO when you look at the triangle, you see that there are three marks on the triangle.
There are two different kinds of marks, the curved marks mean angles (and they are on an angle so it is easy to remember.) and the small tick mark means a line (it is also on the line) so you go from one side to another when you name the postulate.
So I typically go from left to right and so if I start with the angle on the left it would be A (angle) S (side) A (angle) because there are two angles and one side named that are the same as the other triangle