Answer:
8 in
Step-by-step explanation:
Step 1: Define
A = 56
b = 7
A = bh
Step 2: Find <em>h</em>
h = A/b
h = 56/7
h = 8
The value of P(4<X≤12) is 0.45
<h3>How to determine the probability?</h3>
The complete question is added as an attachment
To calculate P(4<X≤12), we use the following equation
P(4<X≤12) = P(4<X≤8) + P(8<X≤12)
From the histogram, we have:
P(4<X≤8) = 0.1
P(8<X≤12) = 0.35
So, we have:
P(4<X≤12) = 0.1 + 0.35
Evaluate
P(4<X≤12) = 0.45
Hence, the value of P(4<X≤12) is 0.45
Read more about probability at:
brainly.com/question/10444337
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Answer:
the equation of the hyperbola is;(x²/81) - (y²/1600) = 1
Step-by-step explanation:
We are given that the hyperbola has;
Centre; 0,0
Vertex; 9,0
Focus; 41,0
Thus,the vertex and focus are on the x-axis. Thus, the equation for the hyperbola will have the form;
(x²/a²) - (y²/b²) = 1
Since The vertex is (9,0),so
a = 9 and a² = 9² = 81
Also,Since The focus is (41,0),so
c = 41 and c² = 41² = 1681
Solving for b², we have;
b² = c² - a²
b² = 1681 - 81
b² = 1600
b = √1600
b = 40
Thus,equation of hyperbola is;
(x²/9²) - (y²/40²) = 1
Which gives;
(x²/81) - (y²/1600) = 1
The chosen topic is not meant for use with this type of problem.
However, if you simplify it, your answer is:
x^2 − 2x − 35
Answer:
The highest.
Step-by-step explanation:
I'm assuming there is supposed to be a picture but the skier highest on the mountain will have the greatest gravitational potential energy.
