Answer:
a = 19
Step-by-step explanation:
If the rate of change is -8, subtract 8 from your y value of 27. And if 19 is correct, you should be able to subtract 8, and get 11 as the next number in the function, which you do, so 19 is the value of a.
Answer: The force, F, acting on a charged object varies inversely to the square of its distance, r, from another charged object. When the two objects are 0.64 meter apart, the force acting on them is 8.2 Newtons
Step-by-step explanation: )
Answer:
a) P(X > 10) = 0.6473
b) P(X > 20) = 0.4190
c) P(X < 30) = 0.7288
d) x = 68.87
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

Mean equal to 23.
This means that 
(a) P(X >10)

So
P(X > 10) = 0.6473
(b) P(X >20)

So
P(X > 20) = 0.4190
(c) P(X <30)

So
P(X < 30) = 0.7288
(d) Find the value of x such that P(X > x) = 0.05
So






1/2 hour = 105 miles
Divide by 1/2 on both sides :
1/4 hour = 52.5 miles
Answer:
Step-by-step explanation:
Compare any two points on same horizontal line.
<u>The easy one is:</u>
<u>Since g(x) = f(kx), substitute the x- coordinates to find the value of k:</u>
- - 1 = k*(-3)
- k = - 1/ - 3
- k = 1/3
Correct choice is B