The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.
1 answer:
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The function is
.
To the left of 1 the function is a quadratic polynomial, to the right, it is a linear polynomial. Polynomial functions are always continuous, so the only candidate point for discontinuity is x=1.
The left limit is calculated with 1 substituted in
, which gives 5.
The right limit, is computed using the rule for the right part of 1, that is x+4.
Thus, the right limit is 1+4=5.
So, both left and right limits are equal. Now if f(1) is 5, then the function is continuous at 1.
But the function is not defined for x=1, that is x=1 is not in the domain of the function. Thus, we have a "whole" (a discontinuity) in the graph of the function.
The reason is now clear:
Answer:<span> f(1) is not defined</span>
To the left of 1 the function is a quadratic polynomial, to the right, it is a linear polynomial. Polynomial functions are always continuous, so the only candidate point for discontinuity is x=1.
The left limit is calculated with 1 substituted in
The right limit, is computed using the rule for the right part of 1, that is x+4.
Thus, the right limit is 1+4=5.
So, both left and right limits are equal. Now if f(1) is 5, then the function is continuous at 1.
But the function is not defined for x=1, that is x=1 is not in the domain of the function. Thus, we have a "whole" (a discontinuity) in the graph of the function.
The reason is now clear:
Answer:<span> f(1) is not defined</span>
THE ANSWER IS: 86 degrees
first find the measure of angle a: since all angles of a triangle add up to 180, add the measures of angle b and angle c then subtract it from 180 to get angle a: 62+54=116, 180-116=64
since we know line AD bisects angle a, we can divide 64 degrees by 2 to find angle BAD: which is 32 degrees
then subtract both 62 and 32 from 180 to get 86 degrees for angle ADB
first find the measure of angle a: since all angles of a triangle add up to 180, add the measures of angle b and angle c then subtract it from 180 to get angle a: 62+54=116, 180-116=64
since we know line AD bisects angle a, we can divide 64 degrees by 2 to find angle BAD: which is 32 degrees
then subtract both 62 and 32 from 180 to get 86 degrees for angle ADB