ABC is congruent to DEF. By which congruence postulate or theorem can this be proven?
2 answers:
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Answer:
a. 23.02 %
b. 49%
c. W
Step-by-step explanation:
Solution:-
- A multi-variable function for the percentage of fish in the lake that are intolerant to the pollution is given as:
Where,
W: percentage of wetland
R: percentage of residential area
A: percentage of agriculture
- We are to evaluate the percentage of fish intolerant to pollution in the case where W = 3 , R = 15 , A = 0. We will plug in the values in the modeled function P ( W , R , A ) as follows:
- To determine the maximum percentage of fish that will be intolerant to pollution we will employ the use of critical points. The critical point that is defined by the linear relationship between P and all other parameters ( W, R , A ). The maximum value occurs when W = R = A = 0.
- Hence, the maximum value of the function is 49%.
- The linear relationship between each induvidual parameter ( R, W , A ) and the function ( P ) is proportional in influence. The extent of influence can be quantized by the constant multiplied by each parameter.
- We see that that ( 1.61*W ) > ( 1.41R ) > ( 1.38A ). The greatest influence is by parameter ( W ) i.e the influence of percentage of wetlands .
Answer:
0.6125
Step-by-step explanation:
We have,
P(ripe avocados) = 0.45 , n = 5
by binomial distribution,
P(x=k) =
P(2 ≤ x ≤ 3) = P(x=2) + P(x=3)
P(x=2) =
= 10 x (0.45)² x (0.55)³
= 0.3369
P(x=3) =
= 10 x (0.45)³ x (0.55)²
= 0.2756
So, P(2 ≤ x ≤ 3 ) = 0.3369 + 0.2756
= 0.6125
Differentiate g using the power rule:
The critical points of g occur where g' is zero or undefined.
We have
and the derivative is undefined for