The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation. Therefore,
f(x) = x2 – 5x + 6
a = 1
b = -5
c = 6
j + a = 50
j= a + 12
a+ 12 +a = 50
2a +12 = 50-12
2a = 38
a = 19
j =31
a = 19
Jordan is 31 years old and Anna is 19 years old.
Answer:
C
Step-by-step explanation:
Solution:-
- An experiment on the efficacy of spraying malathion on oats to control the growth cereal leaf beetle.
- A sample of n = 10 farms was taken at random. Each farm was either subjected to control group ( no spray ) or the treatment group ( spray ).
- Power ( β ) is the probability of rejecting the null hypothesis when, in fact, it is false. I.e the test statistics lie in the rejection region or the benefit of adding malathion is proven in-effective when in fact it is in-effective.
- Power is the probability of avoiding a ( Type II error ). Mathematically expressed as:
Type II Error = 1 - β
- Power is the probability of making a correct decision (to reject the null hypothesis) when the null hypothesis is false.
- The probability that a test of significance will pick up on an effect that is present.
Hence,
Answer: It is the ability to detect the effectiveness of malathion when in fact it is effective.
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
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