A special kind of triangle is a right triangle whose definite characteristic is having a 90° angle. It is also special because there are derived trigonometric formulas/identities that can be applied to it. A right triangle has three sides: hypotenuse, adjacent side and opposite side. The hypotenuse is the longest side of the right triangle. You can determine this visually, if not, quantitatively. The other sides are with respect to a given angle.
For the problem, it might have asked for the opposite side or the hypotenuse. We use the cosine function to find the hypotenuse:
cos 58° = adjacent/hypotenuse = 4/hypotenuse
hypotenuse = 7.55 units
Then, we use the tangent function to find the opposite side.
tan 58° = opposite/adjacent = opposite/4
opposite = 6.4 units
Answer:
Step-by-step explanation:
Starting with 2x+6=22
You subtract 6 from each side of the equation:
2x=16
You want to isolate the "x" so you divide each side by 2.
x = 8
check your answer: 2x + 6 = 22
2(8) + 6 = 22
16 + 6 = 22
Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- The coin is fair, hence p = 0.5.
- The coin is tossed 10 times, hence n = 10.
The probability that is lands tails up at least nine times is given by:
In which:
Hence:
0.0108 = 1.08% probability of the coin landing tails up at least nine times.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Graph 1: -3 is the slope
Graph 2: 4/5 is the slope
Answer:
The answer is C. 450
Step-by-step explanation:
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Next Question
Correct
The best estimate for the lizard population is 450.
marked lizards counted
total lizards counted
=
total marked lizards
estimated lizard population
→
16
200
=
36
p
→ p = 450
