THEOREM:
• <u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
ANSWER:
By pythagorean property,
x² = 4² + 8²
x² = 16 + 64
x² = 80
x = √80 units.
So, <u>Correct choice</u> - [A] √80 units.
Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
- distance across the pond: x yd
- distance walked by Sandy: 5 yd
- distance walked by Garret: x-1 yd
A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
Answer:
a) Option A)
b) Point estimate of difference = -78
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $1,503
Sample mean,
= $1,425
Sample size, n = 25
Sample standard deviation, s = $160
We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.
a) First, we design the null and the alternate hypothesis
b) Point estimate of the difference between the mean annual premium in Pennsylvania and the national mean
Point estimate of difference =
Mean annual premium in Pennsylvania - National mean

Thus,
Point estimate of difference = -78
x - 14 would be the equation
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