Answer:
The equation in slope-intercept form is y = x + 6
Step-by-step explanation:
For this question, we will use point slope form, where you can put in a point and a slope and get an equation of the line that passes through the point with that slope.
The point slope formula is y - y1 = m(x-x1) where y1 is the y coordinate of the point, m is the slope, and x1 is the x coordinate.
We are trying to find a line parallel to x - y = 6, so our line will have the same slope as it. To find the slope of x - y = 6, subtract x and divide by -1. This gives us y = x - 6, where the slope is 1.
Now we have all necessary information.
Plug in the values: y - 5 = 1(x + 1)
Simplify: y - 5 = x + 1
Add 5 to both sides: y = x + 6
The answer is y = x + 6
Answer:
Step-by-step explanation:
We want to determine a 90% confidence interval for the mean amount of time that teens spend online each week.
Number of sample, n = 41
Mean, u = 43.1 hours
Standard deviation, s = 5.91 hours
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
43.1 ± 1.645 × 5.91/√41
= 43.1 ± 1.645 × 0.923
= 43.1 ± 1.52
The lower end of the confidence interval is 43.1 - 1.52 =41.58
The upper end of the confidence interval is 43.1 + 1.52 =44.62
Therefore, with 90% confidence interval, the mean amount of time that teens spend online each week is between 41.58 and 44.62
Answer:
One of the number is 4 while the other is 7
Step-by-step explanation:
The sum of two numbers is eleven
Let the numbers be x and y
X+ y = 11
One number is thirty-eight less than six times the other
X= 6y-38
X+ y = 11
6y-38 +y= 11
6y+y= 11+38
7y=49
Y= 49/7
Y= 7
X+ y = 11
X+7= 11
X= 11-7
X= 4
I think that Neil has 12, Otto has 3 and Peter has 10.
Answer:
10. po Ang sagot
Step-by-step explanation:
Sana makatulong