Answer:
,
, and "Yes"
Step-by-step explanation:
We will do as the instructions say.
-> See attached.
An ice cream truck sells ice cream between 2 p. M. And 10 p. M. Each night in the summer. At the end of the night, the driver ca
2 answers:
The average rate of change for the data from the 5th hour to the 8th hour is 8 dollars per hour.
Given
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.
At the end of the night, the driver calculates his profits and makes a graph to analyze the data.
<h2>How to find the average rate of change?</h2>The formula is used to find the average rate of change is;
Here,
Substitute all the values in the formula
Hence, the average rate of change for the data from the 5th hour to the 8th hour is 8 dollars per hour.
To know more about the Average rate click the link given below.
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Adding 2 to each value of the random variable makes a new random variable
. Its mean would be
since expectation is linear, and the expected value of a constant is that constant. is the mean of
, so the new mean would be
The variance of a random variable is
so the variance of would be
We already know , so simplifying above, we get
Standard deviation is the square root of variance, so .
so the standard deviation remains unchanged at 3.
NB: More generally, the variance of for
is
but the variance of a constant is 0. In this case, , so we're left with
, as expected.
Let
x--------> the measure of the adjacent interior angle
y--------> the measure of an exterior angle at the vertex of a polygon
we know that
The measure of the adjacent interior angle and the measure of an exterior angle at the vertex of a polygon are supplementary angles
so
°
<u>Examples</u>
case 1)
<u>In a square</u>
°
so
°
In this case
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle
case 2)
<u>an equilateral triangle</u>
°
so
°
In this case
The measure of an exterior angle at the vertex of a polygon is not equals the measure of the adjacent interior angle
therefore
<u>the answer is</u>
sometimes
Answer:
a. 1 263 888
b. 130 701
c. 72 years
Step-by-step explanation:
a. The differential equation applies here.
Let the quantity increase for a certain time be given by Q(t)
Every unity of time, the quantity increases by so that after the time t, the quantity remaining will be given by:
In a similar manner, the quantity R(t) decreases at a rate given by the following expression:
and after the time , t the quantity of R remaining will be given by:
a. To find the population of humans in 1953
1993 - 1953 = 40 years = t
Q(40) = Q×
Q = 1 263 888.44
≈ 1 263 888
b. For bear population in 1993:
t = 40
R(40) =
b = 130 700. 889
≈130 701
c. time taken for black bear population number less than 100 is given by:
130 = 11000×
solving using natural logarithms gives t = 72.72666
= 72 years Ans