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

Answer:
Step-by-step explanation:
You need to find the area of each of the shapes by multiplying the length by the width. Then, you need to add them all together. I won't do it for you because it will make it harder to learn stuff in the future but I told you the formula!!
To find how many cupcakes Ling must sell to break even, you will create an equation where the functions are equal.
0.25x + 30 = 1x; then solve the equation for x, the number of cupcakes.
0.25x + 30 = 1x
-0.25x -0.25x
<u>30</u> = <u>0.75x</u>
30 30
x = 40
Ling will need to sell 40 cupcakes.

for an ellipse, the major axis, is over the variable with the "a" component, or the greater denominator
Answer:
within ±1.96 standard deviations of the sample mean
Step-by-step explanation:
A 95% confidence interval is found using the formula C = 1 - α, and some other stuff, but let's focus on that for now. Using the formula:
.95 = 1 - α
α = .05
If α = .05, that means a 2-sided confidence interval would be found using the sample mean and the Z-score Z(subscript α/2), or Z.₀₂₅ because α AKA .05 divided by 2 = .025. From there, you take this either to your calculator or a Z-table (or perhaps you have a chart that lists the common CI values), and see that for the area to be .025 beneath a standard normal curve, your Z value is ±1.96 ("plus or minus" because we're considering a 2-sided confidence interval).