Answer:
a) 0.1353
b) 0.3679
Step-by-step explanation:
Let's start by defining the random variable T.
T : ''The time (in hours) required to repair a machine''
T ~ exp (λ)
T ~ exp (1)
The probability density function for the exponential distribution is
(In the equation I replaced λ = L)
With L > 0 and x ≥ 0
In this exercise λ = 1 ⇒
For a)
For b)
The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur
Answer:
Step-by-step explanation:
12.
Statements:
1. RS bistecs PQ at T; PQ bisects RS at T.
2. RT is congruent to ST; PT is congruent to QT.
3. Angle T is congruent to angle T.
4. Triangle PTS is congruent to triangle QTR.
Reasons:
1. Given.
2. Definition of a bisector of a line segment.
3. Reflexive Property.
4. SAS Postulate
13.
Statements:
1. AB is congruent to AD; AC bisects angle BAD.
2. Angle BAC is congruent to angle DAC.
3. AC is congruent to AC.
4. Triangle ABC is congruent to triangle ADC.
Reasons:
1. Given.
2. Definition of a bisector of an angle.
3. Reflexive Property.
4. SAS Postulate.
Answer: 85.13
Step-by-step explanation:
We know:
Circumference = 2*3.14r
Area of a circle = 3.14r²
We need to find the radius given the circumference before solving for the area:
32.7 = 2*3.14r
32.7/6.28 = 6.28r/6.28
r = 5.20700637
Now that we know the radius, we can plug it in to find the area:
A = 3.14(5.20700637)²
A = 3.14(27.1129153)
A = 85.134554
Answer:
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
Answer:
Area = 72.62 m²
Step-by-step explanation:
Area of a triangle with the given three sides is given by,
Area =
Here, s =
And a, b, c are the sides of the triangle.
From the question,
a = 20 m, b = 10 m and c = 15 m
s =
s = 22.5
Substitute these values in the formula,
Area =
=
=
= 72.62 m²