Answer:
y = -x + 1
Step-by-step explanation:
We are asked to find the equation of a line parallel to
x + y = 3
Step 1: find the slope
x + y = 3
Following the equation of a line
y = mx + c
3 - x = y
-x + 3 = y
y = -x + 3
Slope m = -1
Step 2: substitute m = -1 into the equation
y - y_1 = m( x - x_1)
Using the point ( 0 , 1)
x_1 = 0
y_1 = 1
y - 1 = m( x - 0)
m = -1
y - 1 = -1 ( x - 0)
Open the bracket
y - 1 = -1x + 0
y - 1 = -x
y = -x + 1
The equation of the line is
y = -x + 1
Answer:
x = 22
Step-by-step explanation:
Adding all the degrees to a triangle must equal 180
120 + (x+16) + x = 180
2x + 136 = 180
-136. -136
2x = 44
x = 22
Answer:
Height = 5
Step-by-step explanation:
The equation whit the largest outcome is 5*103=515
Using the t-distribution to build the 99% confidence interval, it is found that:
- The margin of error is of 3.64.
- The 99% confidence interval for the population mean is (19.36, 26.64).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:
In which:
- is the sample mean.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.
The other parameters are given as follows:
The margin of error is given by:
Hence the bounds of the interval are:
The 99% confidence interval for the population mean is (19.36, 26.64).
More can be learned about the t-distribution at brainly.com/question/16162795
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