Answer:
9.562
Step-by-step explanation:
Use the Heron’s Formula to find the area of a triangle when all three sides are known (SSS). In the formulas below, S represents the semi-perimeter of the triangle, and ABC are the three given sides.
You must first know the semi-perimeter (S) before you are able to calculate the area.
S= 1/2 (A+B+C)
Area = √S(S-A)(S-B)(S-C)
In your case:
<u>semi perimeter </u>
= 1/2 (9+4+6)
= 19/2
= 9.5
<u>Area </u>
= √9.5(9.5−9)(9.5−4)(9.5−6)
= √91.4375
= 9.562
The birth weight of elephants at the 85th percentile is 262.16 pounds
<h3>What is the standard deviation?</h3>
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
Given that:-
The average birth weight of elephants is 200 pounds
= 200
The deviation of 60 pounds.
= 60
The birth weight of elephants at the 85th percentile. z = 85%= 1.036
Now from the formula of z-score:-

Hence the birth weight of elephants at the 85th percentile is 262.16 pounds
To know more about standard deviation follow
brainly.com/question/475676
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Y = -x² + 3x - 1
x = 2y - 1
x = 2(-x² + 3x - 1) - 1
x = 2(-x²) + 2(3x) + 2(-1) - 1
x = -2x² + 6x - 2 - 1
x = -2x² + 6x - 3
<u>- x - x </u>
0 = -2x² + 5x - 3
x = <u>-(5) +/- √((5)² - 4(-2)(-3))</u>
2(-2)
x = <u>-5 +/- √(25 - 24)</u>
-4
x = <u>-5 +/- √(1)
</u> -4
x = <u>-5 +/- 1</u>
-4
x = <u>-5 + 1</u> or x = <u>-5 - 1</u>
-4 -4
x = <u>-4</u> x = <u>-6</u>
-4 -4
x = 1 x = 1.5
2y - 1 = x
2y - 1 = 1
<u> + 1 + 1</u>
<u>2y</u> = <u>2</u>
2 2
y = 1
(x, y) = (1, 1)
or
2y - 1 = x
2y - 1 = 1.5
<u> + 1 + 1 </u>
<u>2y</u> = <u>2.5</u>
2 2
y = 1.25
(x, y) = (1.5, 1.25)
The two solutions is equal to (1, 1) and (1.5, 1.25).
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