The answer is: x = -1, y = +4
Answer:
Margin of error = 4.21 ounces
Step-by-step explanation:
According to the Question,
- Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces
Therefore, Sample mean = 31 ounces , Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces
- Thus, Margin of error =
× σ / √n ( at α=.010 is 1.645)
Putting The Values, We get
1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21
Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces
Diagonal of a rectangle formula:
Diagonal = √l² + w²
Diagonal = √10² + 8²
Diagonal = √100 + 64
Diagonal = √164
Diagonal = 12.806 feet.
Or you can use the pythagorean theorem. The diagonal of a rectangle is the hypotenuse of a triangle.
a²
+ b² = c² ; where a and b represents the lengths of the triangle and c
is the hypothenuse. In this case, the lengths are 10 ft and 8ft.
10² + 8² = 100 + 64 = 164 ; This represents c².
c = √c² = √164 = 12.806 ft
Answer:
Time equal to 3.30 seconds when the arrow was going up.
Time equal to 7.94 seconds when the arrow was going down.
Step-by-step explanation:
Trust me
draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry.
The vertex(h, k) will be located on the line half way between the focus and directrix.
The distance from the focus to the vertex is called the focal length, call it a. The then equation is
(x - h)^2 = 4a(y - k)
the equation can be manipulated to
y = 1/4a(x - h)^2 + k
hope it helps
