First of all, we know that it's a linear equation, which means it'll have to be y=mx+b.
Identify your points.
(0, 0) and (5, 4).
Now find the slope by doing
m = (y₂ - y₁)/(x₂ - x₁)
m = (4 - 0)/(5 - 0)
m = 4/5
So the slope is 4/5 or 0.8.
Now set the equation up. You have a point and the slope, so use the point-slope equation.
y - y₁ = m(x - x₁)
y - 4 = 4/5(x - 5)
y - 4 = 4/5x - 4
y = 4/5x
So the equation of the line is y=4/5x.
Answer:
Section a)
Solution;
A correlation coefficient of 0.4 implies a relatively weak positive association between two sets of data. There is a notable small increment in one data set as the other increases.
Section b)
Solution;
A correlation coefficient of -0.96 implies a strong negative association between two sets of data. An increase in the values of one data set amounts to a decrease in the values of the other data set by approximately the same magnitude.
Section c)
Solution;
A correlation coefficient of -0.02 implies a weak negative association between two sets of data. An increase in the values of one data set amounts to a negligible decrease in the values of the other data set.
Section d)
Solution;
A correlation coefficient of 1.0 implies a perfect positive association between two sets of data. An increase in the values of one data set amounts to an increase in the values of the other data set by exactly the same magnitude. A scatter plot would reveal that the line y =x fits the data well.
Section e)
Solution;
A correlation coefficient of 0.86 implies a strong positive association between two sets of data. An increase in the values of one data set amounts to an increase in the values of the other data set by approximately the same magnitude.
Step-by-step explanation:
Correlation coefficient measures the degree of association between two variables or data sets. Correlation coefficients can be positive or negative and may imply weak or strong association between two data sets.
A correlation coefficient of less than 5 is implies a weak association while a value greater than or equal to 5 implies a strong association. Finally, a correlation of 1.0 implies perfect association.
Answer:
There are a total of twelve possible outcomes. This is because flipping a coin has two possible outcomes (either heads or tails) and rolling a number cube has 6 of them (1-6) so 2 times 6 is 12.
If you want to draw a tree diagram, first split your tree into two branches, one for heads and one for tails. Then, split both branches into 6 sub-branches each, so each branch has a full set of numbers from 1-6.
Or you can do it the other way around, first split your tree into 6 branches, then split all branches into 2 sub-branches each.
hope this helps :)
Answer:
B. The probability that the second dart hits the center given that the
first dart hits the center
Step-by-step explanation:
P(BA) is also called the "Conditional Probability" of B given A.
Given :
A kitchen supply outfit makes spoons and forks for sale. It costs the store $2 to buy the supplies needed to make a fork and $1 for the supplies to make a spoon. The store sells the forks for $4 and the spoons for $5.
Last month they spent $39 on supplies and sold all the forks and spoons they made using those supplies for $93.
To Find :
How many forks and spoons did the company make.
Solution :
Let, number of forks and spoons the company made are f and s.
For buying from the kitchen the equation is :
2f + s = 39 ....1)
For selling the equation will be :
4f + 5s = 93 ....2)
Multiplying equation 1) by 5 and subtracting equation 2) from it we get :
(10f + 5s) - ( 4f + 5s) = 195 - 93
6f = 102
f = 17 and s = 5
Therefore, the company make 17 forks and 5 spoons.
