Answer: 5/6
Step-by-step explanation:
2/3=4/6
1/6 + 4/6 = 5/6
Perpendicular means it’s opposite reciprocals for example : the slope is 2 then the perpendicular line’s slope would be -1/2 because it flips the number also makes it the opposite sign.
If it’s parallel then the slope would be the same
I hope that helps
Answer:
(x+2)^2 +(y-3)^2 = 9
Step-by-step explanation:
(x-h)^2 +(y-k)^2 = r^2
Where (h, k) is the center of the circle
And r is the radius of the circle.
Hope this helps.
(a) Without solving the equation we can't determine whether its true or false.
(b) If x = 3
4x + 1 = 2x + 5
4(3) + 1 = 2(3) + 5
12 + 1 = 15 + 5
13 = 20
No, if x = 3, the equation will not be true.
(c) 4x + 1 = 2x + 5
4x - 2x = 5 - 1
2x = 4
x = 4/2
x = 2
This shows that x = 2 makes the equation true.
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
