Answer:
Option (A) 0.40951
Step-by-step explanation:
We are given the following information in the question:
P(target) = 0.90
Let the random variable X represent the number of times he hits ring of the target with a shot of the arrow.
The probability distribution of X is
x: 0 1 2 3 4 5
P(x): 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049
The mean of discrete probability distribution is given by:

Now, we have to evaluate

Option (A) 0.40951 t is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X.
Answer:
Step-by-step explanation:
Work is said to be done when a force applied to an object cause the body to move in a specified direction.
Work-done = Force * Distance
Since Force = mass * acceleration due to gravity
Work-done = mass * acceleration due to gravity * distance
Given mass = 1.4kg, distance = 0.7m and g = 9.8m/s²
Workdone in lifting the book off the floor = 1.4*0.7*9.8
Workdone = 9.604Joules
- Similarly, work done in lifting a 21-lb weight book 6 ft off the ground is expressed using the same formula as above;
Given mass = 21-lb, g = 32ft/s² and distance = 6ft
Workdone = 21 * 32 * 6
Workdone = 4,032 lb-ft²/s²
Hence, work-done in lifting a 21-lb weight book 6 ft off the ground is 4,032 lb-ft²/s²
It is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).
<h3>
What are the domain and range of a function?</h3>
- The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x).
- A function's range is the set of values that the function can take.
- This is the set of values that the function returns after we enter an x value.
To find the domain and range:
- The given function in the problem is:

- Because the square root function does not exist for negative numbers, the domain is denoted by:
≥
→
≥ 
- Therefore, it is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).
- The range of the square root function is
≥
, which remains the same as there are no vertical translations.
Therefore, it is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).
Know more about the range here:
brainly.com/question/26098895
#SPJ4
The complete question is given below:
What are the domain and range of g of x equals the square root of the quantity x plus 4?
(A) D: [4, ∞) and R: [0, ∞)
(B) D: (–4, ∞) and R: (–∞, 0)
(C) D: [–4, ∞) and R: [0, ∞)
(D) D: (4, ∞) and R: (–∞, 0)
Answer:
a=-5,b=3c=-8 d=?
Step-by-step explanation: