2 blue, 4 green, 3 white....total of 9 chips
P(blue) = 2/9
replacing
P(green) = 4/9
P(both events happening) = 2/9 * 4/9 = 8/81 <==
Answer:
The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.
Step-by-step explanation:
We have the standard deviation for the sample, 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 = 27 - 1 = 26
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0518
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
In this question:
. So


The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.
Step-by-step explanation:
y = x - 4 and y = 4x + 2
=> x - 4 = 4x + 2
=> 3x = -6
=> x = -2
y = x - 4 = (-2) - 4 = -6
The solutions are x = -2 and y = -6.
Answer:
1
Step-by-step explanation:
1) First, place the given equation in slope-intercept form (
format) to find its slope easier. Isolate the y:

So, the equation of the line in slope-intercept form is
. When an equation is in slope-intercept form, the
, or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.
2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.
To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as
-- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.