Answer:
- <43, -30>
- <-1, 6>
Step-by-step explanation:
The answer is found by carrying out the indicated arithmetic. Multiplying a vector by a scalar multiplies each of the vector's components. Adding vectors adds corresponding components.
<u>Question 1</u>
3u -5v = 3<11, -5> -5<-2, 3>
= <3·11 -5(-2), 3(-5) -5(3)>
= <33 +10, -15 -15>
= <43 -30>
<u>Question 2</u>
m - n = <0, 0> -<1, -6>
= <0 -1, 0 -(-6)>
= <-1, 6>
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
Given value:
For point a:
Moment generating function of X=?
Using formula:
integrating the values by parts:
Therefore, the moment value generating by the function is
In point b:
Using formula:
form point (a):
Differentiating the value with respect of t
when
To set this up, use the function f(x) = a(b)^x
where a is the starting value ($9000 in this case)
where b is the rate of change (1.46% would be (1+0.0146) in this case)
and x is the amount of time.
insert value into the equation to get
f(x) = 9000(1+0.0146)^3
and your answer would be
$9399.98
Answer:
In April, the water temperature in the top 5 meters ranges between 18°C to 19°C and in August, the temperature at 15 to 20 meters range from 29.5°C at the top to 26°C.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
We can start by making the table below to show the given numbers (red) and to assign a variable (x) to <em>the number we want to find: female PhDs</em>.
By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.
The number of male non-PhDs is twice the number of male PhDs, so we have ...
2(14 -x) = 20 -x
28 -2x = 20 -x . . . . eliminate parentheses
8 = x . . . . . . . . . . . .add 2x-20
The number of female faculty with PhDs is 8.