Answer:
91
Step-by-step explanation:
P(1) = 0.25
P(3) = 2P(2) = 3P(4)
P(5) = P(4) + 0.1 = P(6) − 0.1
The probabilities add up to 1:
1 = P(1) + P(2) + P(3) + P(4) + P(5) + P(6)
Write each probability in terms of P(4).
1 = 0.25 + 1.5P(4) + 3P(4) + P(4) + P(4) + 0.1 + P(4) + 0.2
1 = 0.55 + 7.5P(4)
0.45 = 7.5P(4)
P(4) = 0.06
Therefore, P(6) = P(4) + 0.2 = 0.26.
The expected value is the number of trials times the probability.
E = 350 × 0.26
E = 91
Answer:
-360
Step-by-step explanation:
I got it right
<span>1. We analyze the limit by approaching it from both the left and the right.
From the left: f(x) = x + 10 (for x < 8), as x --> 8, f(x) --> 18
From the right: f(x) = 10 - x (for x >= 8), as x --> 8, f(x) --> 2
Since the limits on either side do not converge to the same point, the limit does not exist (this is choice C).
2. </span>Using a similar approaching as in #1:
<span><span>From the left: f(x) = 5 - x (for x < 5), as x --> 5, f(x) --> 0
At x = 5 itself: f(x) = 8
From the right: f(x) = x + 3 (for x > 5), as x --> 5, f(x) --> 8</span>
Although the value at x = 5 matches with the limit when approaching from the right, the limit when approaching from the left doesn't match, so the limit does not exist (choice D).
3. </span><span><span>From the left: f(x) = 5x - 9 (for x < 0), as x --> 0, f(x) --> -9
From the right: f(x) = |2 - x| (for x >= 0), as x --> 0, f(x) --> 2
</span>Again, since the limits when approaching from the left and right don't match, the limit does not exist. (This is Choice D).
4. lim 1/(x - 4) as x -->4-
If we are approaching x = 4 from the left, we can test values such as 3, 3.9, 3.99, 3.999, approaching 4. For x = 3, f(x) = -1. For x = 3.9, f(x) = -10. For x = 3.99, f(x) = -100. For x = 3.999, f(x) = -1000. This shows that the value continues to go towards negative infinity.
If we were to graph these 4 points on the Cartesian plane, it would also show a curve to slopes downwards to negative infinity, with the vertical asymptote at x = 4. The correct answer is Choice C) -∞ ; x = 4.
5. </span>f(x) = (x+1)(x-1) / [(x+1)(x-2)] is an example of a function with both a removable and non-removable discontinuity.
In this case, because x+1 cancels out from the numerator and denominator, it results in a hollow or missing point (removable) discontinuity at x = -1. This means that the limit still exists as x --> -1. On the other hand, x = 2 is a non-removable discontinuity, since it cannot be cancelled out, and it will be an asymptote.
Answer:
the base is 5 meters long.
Step-by-step explanation:
To find the a missing side when given the area you have to multiply the area by 2 which in this case would be 50 so 50/10 would be 5m which is your answer.
Answer:
Option B
Step-by-step explanation:
The slope of the line BC is,
Since AD is altitude to BC, we can say AD is perpendicular to BC, so the slope of the line AD which is perpendicular line to BC will be,
