Answer:
Step-by-step explanation:
A matched pair t test is one in which the set of data is divided into two sets of data and the test is done to test the difference between the pairs. Sometimes this is called paired t test.\
This is done normally where one group of sample or population can be paired with other group of sample /population.
Hence
A .Measurements of annual income for each twin for 100 randomly selected pairs of twins -- True
B. Measurements of annual income for both individuals in pairs formed by matching 100 people from State A and 100 people from State B based on level of education -- True
C. Measurements of annual income for both individuals in pairs formed by assigning 100 people to pairs at random -- True
D. Measurements of annual income recorded for both spouses of 100 randomly selected married couples --False here we cannot say paired as these people are not grouped under the same conditions.
X=-1 and y=3
To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.
You now have 3x - (2x + 5) =-6
This can be solved like a normal equation. Multiply each term in the parenthesis by -1.
3x - 2x - 5 = -6
Subtract 2x from 3x
x - 5 = -6
Add 5 to both sides
x=-1
Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.
y= 2(-1)+5
y= -2+5
y=3
You can check your answer by plugging in the values for x and y into both equations and making sure both sides equal each other.
Simple..
320-304
= 116
Your answer is 116
Happy Studying ^=^
Answer:
2.69≤x≤17.31
Step-by-step explanation:
Lety the amount in the other Piggy bank be x.
The difference in the amount of money between the two banks is no more than $10 is expressed as;
|x-7.31| ≤ 10
The value in the modulus sign can be positive or negative
If positive;
x-7.31 ≤ 10
x ≤ 10+7.31
x≤17.31
If negative
-(x-7.31) ≤ 10
-x+7.31 ≤ 10
-x ≤ 10-7.31
-x ≤ 2.69
Multiply both sides by -1
x ≥ -2.69
The compound inequality representing the amount of money in the other bank is -2.69≤x≤17.31
V = 2x^3 + 6x^2
x = 12
V = 2(12^3) + 6(12^2)
V = 2(1728) + 6(144)
V = 3456 + 864
V = 4320
