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ELEN [110]
3 years ago
12

Cos (A − B)

Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0
Answer is choice C) cosine is even; sine is odd

The properties that come with even and odd functions are...
f(-x) = f(x) indicates we have an even function. So cos(-x) = cos(x)
f(-x) = -f(x) indicates we have an odd function. So sin(-x) = -sin(x)

note: the end result of the proof will lead to cos(A)cos(B)+sin(A)sin(B)
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PLZ HELP!!! Will mark brainliest. I need answer as soon as possible because im being timed! I need b and c. Thank you!
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3 years ago
There are 267 students and 21 adults going on a field trip an equal number of people will ride on each bus there are 9 buses how
DiKsa [7]

Answer:

The number of people on each bus is 32

Step-by-step explanation:

We are given

Total number of students =267

Total number of adults =21

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now, we can plug values

Total number of passengers =267+21

Total number of passengers =288

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Number of buses=9

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6 0
3 years ago
20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st
Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that p = 0.13

14 drivers are stopped

This means that n = 14

(a) None will have an invalid license.

This is P(X = 0)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423

(b) Exactly one will have an invalid license.

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

P(X < 2) + P(X \geq 2) = 1

We want P(X \geq 2)

So

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56

8 0
3 years ago
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