Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
f(5) means to replace the x in the equation with 5.
f(5) = 8(5) - 3
f(5) = 40 - 3
f(5) = 37
We will use Binomial Distribution in this case.
Since the coin is tossed 15 times. N which is the number of trails will be 15.
P = Probability of heads
Q = Probability of tails
X = No. heads occurring in each toss.
So, now we have to find the probability for exactly 10 heads.
P(x = 10) = C(15, 10) P^x Q^N-x
C(15, 10) (1/2)^10 (1/2)^5 = 0.0916
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The length of the side would be sqrt(77) = 8.7749.....
This can be classified as two answers:
A and D
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It is also an irrational number because it can’t we written as a simple fraction.