Part A. To solve for the distance travelled during the
interval, all we have to do is to plug in values of t = 3 and t = 3.5 in the
equation and the difference would be the answer:
when t = 3: s = 16 (3)^2 = 144 m
when t = 3.5: s = 16 (3.5)^2 = 196 m
Therefore the distance travelled within the interval is:
196 m – 144 m = 52 m
<span>Part B. The velocity is calculated by taking the 1st
derivative of the equation. v = ds / dt</span>
s = 16 t^2
ds / dt = 32 t = v
when t = 3: v = 32 (3) = 96 m / s
when t = 3.5: v = 32 (3.5) = 112 m / s
Therefore the average velocity is:
(96 + 112) /2 = 104 m / s
Part C. We can still use the formula v = 32 t and plug in
the value of t = 3
v = 32 t = 32 (3)
v = 96 m / s
<span> </span>
Answer:
(a) Option A. independent
(b) 
Step-by-step explanation:
Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.
In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.
In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.
When two events are independent then
The probability that a baby is a girl is
The probability of obtaining a 1 when casting a 16-sided die is:
Then:
Answer:
Use the regression calculator to compare the teams’ number of runs with their number of wins.
A 2-column table with 9 rows. Column 1 is labeled R with entries 808, 768, 655, 684, 637, 619, 613, 609, 563. Column 2 is labeled W with entries 93, 94, 66, 81, 86, 75, 61, 69, 55.
What is the y-intercept of the trend line, to the nearest hundredth?
Step-by-step explanation:
Answer:
y = - 5x - 1
Step-by-step explanation:
The first thing to do (always) is pay attention to x =0. That at least gives you a partial answer. y = y' - 1. when you put 0 in for whatever y' is you get 0. What about the other numbers? How did they come about.
We have another clue. Whenever you put in a positive number for x, you get a negative answer for y. That's interesting. So y' has a minus sign associated with it.
y = -ax - 1 Make a>0 so there is only 1 minus sign. x cannot have an even power, because an even power would make everything positive except the -1.
So we'll start with y= - ax - 1 We'll also make the assumption that a = 1
y = - x - 1 That won't work. a >1 otherwise x = 2 won't give - 11
y = -ax - 1
let x = 2
let y = - 11 Solve for a
y = - ax - 1
- 11 = -a*-2 - 1 add 1 to both sides
-11 + 1 = - a(-2) - 1 + 1
- 10 = -2a Divide by - 2
- 10/-2 = -2a/-2
a = 5
Answer: y = - 5x - 1
Answer:
<em>The car will worth $15815 after 5 years.</em>
Step-by-step explanation:
The formula is: 
, where P = Initial cost, A = Final cost, r = Rate of change in cost per year and t = Number of years.
Here, 
and 
As here the <u>value of the car depreciates every year, so we need to plug the value of 
as negative</u>. So, 
Now plugging the above values into the formula, we will get.....
<em>(Rounded to the nearest dollar)</em>
So, the car will worth $15815 after 5 years.
