Answer: -3.0593
Step-by-step explanation:
The test statistic for the difference between two population mean (when population standard deviations 
are known ) is given by :-
where ,
= Sample sizes taken from two populations 1 and 2.
= Difference between two Sample mean.
= Standard deviations of populations 1 and 2.
As per given , we have
We assume that the data follows a normal distribution.
Then, the test statistic will be :-
Hence, the test statistic= -3.0593
Answer:
y = -2 x = 0
Step-by-step explanation:
1. 3x-4y = 8
2. 18-5y = 10
Multiply equation 1 by 6
3. 18x-24y = 48
Subtract equation 2 from equation 3
4. -19y = 38
y = 38/-19
y = -2
Sub y = -2 back into equation 1
3x-4(-2) = 8
3x + 8 = 8
3x = 0
x = 0/3
x = 0
Answer:
24
Explanation:
(23+32)-(3×4)-(52-5)+(7×4)
(55)-(12)-(47)+(28)
- 55-12=43
- -47+28= -19
- 43-19=24
Step-by-step explanation:
From the statement:
M: is total to be memorized
A(t): the amount memorized.
The key issue is translate this statement as equation "rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized"
memorizing rate is 
.
the amount that is left to be memorized can be expressed as the total minus the amount memorized, that is 
.
So we can write
And that would be the differential equation for A(t).
Answer:
A. It Increases
Step-by-step explanation:
Given the expression:
1+3f
When f=1, 1+3f=1+3(1)=1+3=4
When f=2, 1+3f=1+3(2)=1+6=7
When f=3, 1+3f=1+3(3)=1+9=10
We can see that the value of the given expression for each successive term increases and in fact form the sequence
4,7,10,...
Therefore, when f increases, 1+3f increases.
