Answer:
2y = x - 7
Step-by-step explanation:
The general equation of the line is;
y = mx + b
where m is the slope and b is the y-intercept
To get the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
(x1, y1) = (3,-2)
(x2,y2) = (1,-3)
m = (-3+2)/(1-3) = -1/-2 = 1/2
So we have the equation as;
y = x/2 + b
Multiply through by 2
2y = x + 2b
To get the y-intercept value, we substitute any of the points
Let us use the first point
While 3 will go for x , -2 will go for y; thus we have;
2(-2) = 3 + 2b
-4 = 3 + 2b
2b = -4-3
2b = -7
b = -7/2
So the equation is;
2y = x -7
Answer:
9t + 8
Step-by-step explanation:
Step 1: Write expression
5 + 9t + 3
Step 2: Combine like terms (constants)
9t + 8
Answer:
Step-by-step explanation:
PEMDAS is a set of rules which are followed while solving mathematical expressions. These rules start with Parentheses, and then operations are performed on the exponents or powers. Next, we perform operations on multiplication or division from left to right. Finally, operations on addition or subtraction are performed from left to right.
Answer:
The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).
Step-by-step explanation:
We have the standard deviation for the differences, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 7
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.8946
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 9.582 - 10.67 = -1.088
The upper end of the interval is the sample mean added to M. So it is 9.582 + 10.67 = 20.252
The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).
Hello there. I think I have the answer to your question. Without it simplified I think that the probability for white is 8/18 and for red it should be 4/18.