Triangle OBC is a right triangle drawn on a coordinate plane. Side OC lies on the x-axis, the coordinates of point O are (0, 0),
and the coordinates of point B are (6, 8).
sin ∠BOC =
tan ∠BOC =
sin ∠BOC =
tan ∠BOC =
1 answer:
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Based on the calculations, all of the numbers belong to this arithmetic sequence.
<h3>How to calculate an arithmetic sequence?</h3>Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
<u>Where:</u>
- d is the common difference.
- a₁ is the first term of an arithmetic sequence.
- n is the total number of terms.
Next, we would determine the common difference as follows:
d = a₂ - a₁
d = 105 - 99 = 6.
d = a₃ - a₂
d = 111 - 105 = 6.
d = a₄ - a₃
d = 117 - 111 = 6.
Based on the calculations, all of the numbers belong to this arithmetic sequence.
Read more on arithmetic sequence here: brainly.com/question/12630565
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Complete Question:
What is the number that does not belong to this sequence 99, 105, 111, 117, 123, 129, 135, 141, 147, 153
Answer:
(a) 0.999664
(b) 15052
Step-by-step explanation:
From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.
So, the probability of death is .
Assuming, this probability holds true for each skydiving and does not change in the present time.
So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.
Denoting the probability of dying in a single jump by .
.
So, the probability of survive,
(a) The total number of jump he made, n=48
Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is
(approx)
So, the probability of survive in 48 skydiving is 0.999664,
(b) The given probability of surviving =90%=0.9
Let, total skydiving jumps required to meet the surviving probability of 0.9.
So, By using Bernoulli's equation,
Here, r=n.
[ taking
both sides]
The number of diving cant be a fractional value, so bound it to the upper integral value.
Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.