Answer:
42 square inches
Step-by-step explanation:
Area of a triangle = (1/2)(base)(height)
A = 1/2(12)(7)
A = 1/2(84)
A = 42
The function with the greatest average rate of change is the function k(x)
<h3>How to determine the function?</h3>
The average rate of change is calculated as
The interval is [0,2].
So, we have
For function j(x), we have
j(2) = 3 * 1.6^2 = 7.68
j(2) = 3 * 1.6^0 = 3
So, we have
For function g(x), we have
g(2) = 25/2
g(0) = 8
So, we have
For function k(x), we have
k(2) = 9
k(0) = 4
So, we have
For function f(x), we have
f(2) = 1.5 * 2^2 = 6
f(0) = 1.5
So, we have
The function with the greatest average rate of change is the function k(x) with a rate of 2.5
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Answer:
The probability he throws it between 50 feet and 60 feet is 0.48
Step-by-step explanation:
* Lets revise how to find the z-score
- The rule the z-score is z = (x - μ)/σ , where
# x is the score
# μ is the mean
# σ is the standard deviation
* Lets solve the problem
- The mean is 50 feet
- The standard deviation 5 feet
- We need to find the probability of his throws between 50 feet and
60 feet
∵ z = (x - μ)/σ
∵ x = 50 and 60
∵ μ = 50
∵ σ = 5
- Substitute these values in the rule above
∴ z =
∴ z = 0
∴ z =
∴ z = 2
- Lets use the normal distribution table of z to find the corresponding
area to z score
∵ P(z > 0) = 0.5
∵ P(z < 2) = 0.97725
- Subtract the two areas
∴ P(0 < z < 2) = 0.97725 - 0.5 = 0.47725
∵ P(50 < x < 60) = P(0 < z < 2)
∴ P(50 < x < 60) = 0.47725
∴ P(50 < x < 60) ≅ 0.48
<em>The probability he throws it between 50 feet and 60 feet is 0.48</em>
Angle WVX = Angle YVZ (vertically opposite angles)
Angle VWX = Angle VYZ (shown)
Angle WXV = Angle YZV (total sum of angles in triangle)
Peking itis an until mengikutu dusty konferensi Klein’s itis an.