Plz help me i need help its for a test i give brailies (:
1 answer:
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Answer:
A. 0.16
B. 0.58
C. No
D. Dependent
Step-by-step explanation:
A.
The sampling space has 36 outcomes.
The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)
So P(A)= 6/36 = 0.16
B.
The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58
C.
Are A and B mutually exclusive events?
No since their intersection is not empty, for example (3,1) belongs to both A and B
D.
In order for A and B to be independent, it must happen that
P(A∩B)=P(A)P(B)
A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36
whereas
P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72
So A and B are not independent.
Answer:
The current deer population is 240.
Step-by-step explanation:
The expression given models a exponential decay follows:
For every year that passes since the beginning of the count the population is 0.978 of the year prior. Assuming that the count starts at this year, then "n" is equal to 0, applying this value of n to the formula gives us:
The current deer population is 240.
Equation of an ellipse
→having center (0,0) , vertex ( and covertex
and focus
is given by:
As definition of an ellipse is that locus of all the points in a plane such that it's distance from two fixed points called focii remains constant.
Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:
Distance from (a,0) to (c,0) is = a-c =
Distance from (-a,0) to (c,0) is = a + c =
a -c + a +c
= a + a
= 2 a →(Option A )
