The picture below shows a box sliding down a ramp: A right triangle ABC has measure of angle ABC equal to 90 degrees and measure
2 answers:
The Image of the triangle is missing and so i have attached it.
Answer:
B: 12 cosec 65°
Step-by-step explanation:
From the diagram attached, we cans see the triangle is a right angle triangle with a given internal angle of 65° and side AB with a length of 12 ft.
Now, we can use trigonometric ratios to find the distance the box has to move from point A to point C which is basically the distance AC.
Now, the given side AB is opposite to the angle. While the required side AC is the hypotenuse.
Thus;
Opposite/hypotenuse = sin θ
Thus;
AB/AC = 12/AC = sin 65
Thus;
AC = 12/sin 65
From trigonometric relationships, we know that;
1/sin θ = Cosec θ
Thus;
AC = 12 cosec 65
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Answer:
0.3891 = 38.91% probability that only one is a second
Step-by-step explanation:
For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.
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.
17% of its goblets have cosmetic flaws and must be classified as "seconds."
This means that
Among seven randomly selected goblets, how likely is it that only one is a second
This is P(X = 1) when n = 7. So
0.3891 = 38.91% probability that only one is a second