<h2>
Answer:</h2>
(a)
(b)
(c)
<h2>
Step-by-step explanation:</h2>
We are given a function f(x) as :
(a)
We will substitute (x+h) in place of x in the function f(x) as follows:
(b)
Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:
(c)
In this part we will divide the numerator expression which is obtained in part (b) by h to get:
Step-by-step explanation:
1 litre = 1000ml
780ml left
lost amount = 1000 - 780 = 220ml
Answer:
15 miles
Step-by-step explanation:
Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).
Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = 
Thus, the answer is 15 miles.
Hope this helps!
Answer:
0.6988
Step-by-step explanation:
Given that the number of people who use the ATM at night outside your local bank branch can be modeled as a Poisson distribution.
Let X be the number of customers arriving between 10 and 11 am.
X is Poisson with mean= 1.2
Required probability
= the probability that in the hour between 10 and 11 PM at least one customer arrives
= P(X≥1)
=1-P(X=0)
=1-0.3012
= 0.6988
Answer:
y=3x+2
Step-by-step explanation:
