The answer would be A. I hope this helps you
Answer:
a. E(x) = 3.730
b. c = 3.8475
c. 0.4308
Step-by-step explanation:
a.
Given
0 x < 3
F(x) = (x-3)/1.13, 3 < x < 4.13
1 x > 4.13
Calculating E(x)
First, we'll calculate the pdf, f(x).
f(x) is the derivative of F(x)
So, if F(x) = (x-3)/1.13
f(x) = F'(x) = 1/1.13, 3 < x < 4.13
E(x) is the integral of xf(x)
xf(x) = x * 1/1.3 = x/1.3
Integrating x/1.3
E(x) = x²/(2*1.13)
E(x) = x²/2.26 , 3 < x < 4.13
E(x) = (4.13²-3²)/2.16
E(x) = 3.730046296296296
E(x) = 3.730 (approximated)
b.
What is the value c such that P(X < c) = 0.75
First, we'll solve F(c)
F(c) = P(x<c)
F(c) = (c-3)/1.13= 0.75
c - 3 = 1.13 * 0.75
c - 3 = 0.8475
c = 3 + 0.8475
c = 3.8475
c.
What is the probability that X falls within 0.28 minutes of its mean?
Here we'll solve for
P(3.73 - 0.28 < X < 3.73 + 0.28)
= F(3.73 + 0.28) - F(3.73 + 0.28)
= 2*0.28/1.3 = 0.430769
= 0.4308 -- Approximated
Obtuse. that's correct
because triangle MNP has m<M = 35 and m<P = 47
the other angel m<N should be :
m<N = 180 - (m<M + m<P)
m<N = 180 - (35 +47)
m<N = 180 - 82
m<N = 98
m<N = 98 is an obtuse angel which is greater than 90
<span>An </span>obtuse triangle<span> is a </span>triangle<span> in which one of the angles is an </span>obtuse<span> angle.
</span>
Answer: triangle MNP is an obtuse triangle
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Answer:
11.362 sq km
1136.2 hectares
Step-by-step explanation:
Given that:
The farm is in the shape of a rectangle.
Dimensions of the rectangular shaped land = 2.6 km by 4.37 km
To find:
Area of land bought in square km and in hectares.
Solution:
First of all, let us have a look at the formula for area of a rectangular shape figure.

Here,
Length = 2.6 km
Width = 4.37 km
So, Area = 
To convert square kilometers to hectares, we can use the following conversion formula:
1 sq km = 100 hectares
11.362 km = 100
11.362 = <em>1136.2 hectares</em>
First, find the circumference of the wheel using

You know that your diameter is 24. To find the radius, divide the diameter by 2, which is 12.
Input 12 as r and simplify. ->


estimate your Pi as 3.14

and multiply. C=75.36
Now you know the distance of one full revolution in inches. To find 200 revolutions, multiply that answer by 200.
75.36 * 200 = 15,072 inches
But because this is in inches, you have to find the answer in feet, so just divide that answer by 12.
15,072 / 12 = 1,256 ft