Answer:
k ≥2
Step-by-step explanation:
k+ 1/3≥7/3
Subtract 1/3 from each side
k+ 1/3-1/3≥7/3-1/3
k ≥6/3
k ≥2
2x + y = 1
2x - 2x + y = 1 - 2x
y = 1 - 2x
y = -2x + 1
4x + 2y = -1
4x + 2(-2x + 1) = -1
4x + 2(-2x) + 2(1) = -1
4x - 4x + 2 = -1
2 ≠ -1
The solution of the problem can't be a solution because they are both parallel lines, which means they have no solution.
Answer:
Probability that an ear of corn selected at random will contain no borers is 0.4966.
Step-by-step explanation:
We are given that the distribution of the number of borers per ear approximated the Poisson distribution. The farmer counted 3,500 borers in the 5,000 ears.
Let X = <u><em>Number of borers per ear</em></u>
The probability distribution of the Poisson distribution is given by;
where,
= parameter of this distribution and in our question it is proportion of bores in the total ears =
= 0.7
SO, X ~ Poisson(
= 0.7)
Now, probability that an ear of corn selected at random will contain no borers is given by = P(X = 0)
P(X = 0) =
=
= <u>0.4966</u>
Hence, the required probability is 0.4966.