Answer:
c. [70.30, 74.70]
Step-by-step explanation:
Confidence interval is a range of values in which there is a specified probability that the value of a parameter lies within that range.
The confidence interval of a statistical data can be written as.
x+/-zr/√n .......1
Given;
Mean gain x = 72.5 cm
Standard deviation r = 4.5 cm
Number of samples n = 16
Confidence interval = 95%
z (at 95% confidence) = 1.96 (from the table)
Substituting the values we have into equation 1;
72.5 +/- 1.96×4.5/√16
72.5 +/- 2.20 cm
[70.30, 74.70]
Therefore, the 95% confidence interval is
[70.30, 74.70] cm
Answer:
Lines that are parallel have the same gradient.
Since the line is y=-5/6x-4,the gradient of the line parallel to this line is also -5/6.
So the equation of the line parallel to y=-5/6x-4 is y-(-2)=-5/6(x-(-6))--->y=-5/6x-7.
Lines that are perpendicular fulfill the requirement: gradient 1×gradient 2=-1 . Then once you find the gradient of the line, you can find the equation of the line.
To help with your math, try https://www.cymath.com/answer.php?q=2%3C%3Dx%3C3 because it explains everything!
Answer:
the correct answer for this question is
2/5/3/2
Answer:
(a) 4 miles
(b) 8.9 miles
Step-by-step explanation:
(a) Theorem 1: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments.
Hence, the distance d between the park and the library is
(b) Theorem 2: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.
Thus, the distance D between the park and the football field is
