Answer:
third side = 9
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x, then
x² + 40² = 41², that is
x² + 1600 = 1681 ( subtract 1600 from both sides )
x² = 81 ( take the square root of both sides )
x = = 9
The third side is 9
Answer:
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Step-by-step explanation:
Consider the provided information,
Let X is the number of defective bulbs.
Ten light bulbs are randomly selected.
The likelihood that a light bulb is defective is 5%.
Therefore sample size is = n = 10
Probability of a defective bulb = p = 0.05.
Therefore, q = 1 - p = 1 - 0.05 = 0.95
Mean of binomial random variable:
Therefore,
Variance of binomial random variable:
Therefore,
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Answer:
100 ft high
Step-by-step explanation:
We know that Erin, the kite, and her friend create a right triangle since the friend is standing directly under the kite and in front of Erin.
Thus, we can use the Pythagorean theorem to find the height of the kite.
We can let the side the distance be at represents Erin and the kite's distance be EK (aka the hypotenuse), the side that represents Erin and her friend's distance be EF and the side that represents the kite and the friend's distance be KF.
The theorem says that a^2 + b^2 = c^2, where a and b are the two shortest sides and c is the hypotenuse.
We already have the measure of the hypotenuse (260 ft) and one of the shorter sides (240), so we have: