Answer:
c. there is a positive correlation in-between x and y
Step-by-step explanation:
A regression line is a line that suggests that all the points in a scatter diagram lie on or near one particular line. In a simple regression analysis in which y is the dependent variable and x is the independent variable. If the slope is positive, the bivariate data is also said to have a positive correlation. The positive correlation in-between two variables x and y implies that in general, an increase in x goes hand in hand with an increase in y.
Answer:
<h2>$66</h2>
Step-by-step explanation:
Step one:
given data
charges
$4 per bag
$10 weekly fee
let the number of bag be x
and let the total charges be y
<em>the linear function for the total per week is</em>
<em>y=4x+10</em>
Step two:
the independent variable is the weekly fee of $10
for x=14
y=4(14)+10
y=56+10
y=$66
Answer: f(2) = 5
Explanation: If f(x) - 4x - 3, then f(2) = 4(2) - 3 which simplifies to 5.
Here we must see in how many different ways we can select 2 students from the 3 clubs, such that the students <em>do not belong to the same club. </em>We will see that there are 110 different ways in which 2 students from different clubs can be selected.
So there are 3 clubs:
- Club A, with 10 students.
- Club B, with 4 students.
- Club C, with 5 students.
The possible combinations of 2 students from different clubs are
- Club A with club B
- Club A with club C
- Club B with club C.
The number of combinations for each of these is given by the product between the number of students in the club, so we get:
- Club A with club B: 10*4 = 40
- Club A with club C: 10*5 = 50
- Club B with club C. 4*5 = 20
For a total of 40 + 50 + 20 = 110 different combinations.
This means that there are 110 different ways in which 2 students from different clubs can be selected.
If you want to learn more about combination and selections, you can read:
brainly.com/question/251701
Answer:
9 is your answer for x.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, & =
Parenthesis
Exponent (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 13 & 8x from both sides:
2x (-8x) + 13 (-13) = 8x (-8x) - 41 (-13)
2x - 8x = -41 - 13
Simplify. Combine like terms:
-6x = -54
Isolate the variable, x. Divide -6 from both sides:
(-6x)/-6 = (-54)/-6
x = (-54)/(-6)
x = 9
x = 9 is your answer.
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