Answer:
70.5
Step-by-step explanation:
Refer to attached image
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
Answer: third choice (4 - 9).
Explanation:
1) The first reflection, Ry = - 5, means a reflection is across the line y = - 5
2) Since the point P has y-coordinate - 1, its discance to the line y = - 5 is 4 units (P is located 4 units upper the line y = - 5).
Then, the reflection of the y-coordinate will be 4 units below the line y = - 5, which is -5 - 4 = - 9,
Therefore, the y-coordinate of the image is - 9.
3) The second reflection, Rx = 1, means a reflection across the line x = 1.
4) Since the point P has x-coordinate - 2, its distance to the line x = 1 is 3 units (P is located 3 units to the left of the line x = 1).
Then, the reflection of P will be 3 units to the right of the line x = 1.
That is 1 + 3 = 4.
Therefore, the x-coordinate of the image is 4.
5) You have obtained the x and y - coordinates of the image, x = 4 and y = -9, that is (4, - 9) which is the third choice.
Answer:
46. ΔQRP ≅ ΔUTV
47. y = 42
48. ∠KMN = 101°
Step-by-step explanation:
46. It is convenient to name the vertices in the order of the number of arc identifying the angle. Corresponding vertices need to be named in the same order in the congruence statement.
47. From the sum of angles of a triangle, you know that ...
x +62 +65 = 180
x = 180 -127 = 53
x - y = 11 since the corresponding sides are the same length
53 - y = 11 . . . . . .substitute the value of x
y = 53 - 11 . . . . . . add y-11
y = 42
48. The exterior angle has the same measure as the sum of the opposite interior angles:
81 +4x = 13x +36
45 = 9x . . . . . . . . . add -4x-36
5 = x . . . . . . . . . . . divide by 9
∠KMN = (13x +36)° = (13·5 +36)° = 101°
Answer:
17
Step-by-step explanation:
You need to add 4 degrees to get to 0.
You need to add 13 degrees to get to 13
The total = 4 + 13 = 17
