Why?
We have the isosceles right triangle. The length of legs are 6. Use the Pythagorean theorem:
In general, the formula for calculating the hypotenuse in an isosceles right triangle is
a - a leg, h - a hypotenuse
5. Sue has 4 pieces of wood. The lengths of her pieces of wood are foot, foot, foot, and foot. Which piece of wood is the shorte
st?
2 answers:
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Answer:
152.99 m
Step-by-step explanation:
Using the solution diagram attached below :
We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;
Tan θ = opposite / Adjacent
Tan 24 = h / 340
h = tan 24 * 340
h = 151.37775
Hence, the height will be (h + distance from eyelevel to ground)
151.37775 + 1.61
= 152.98775
= 152.99 m
Answer:
a) 0.0287 = 2.87% probability that three non-defective components in a batch of seven components.
b) 0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.
Step-by-step explanation:
A sequence of Bernoulli trials composes the binomial distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The probability that a selected component is non-defective is 0.8
This means that
a) Three non-defective components in a batch of seven components.
This is P(X = 3) when n = 7. So
0.0287 = 2.87% probability that three non-defective components in a batch of seven components.
b) 8 non-defective components are drawn before the first defective component is chosen.
Now the order is important, so the we just multiply the probabilities.
8 non-defective, each with probability 0.8, and then a defective, with probability 0.2. So
0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.