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Natasha2012 [34]
3 years ago
12

Express cos^2 x in terms of cos2x. Hence, express f(x) = 6cos^2 x - 4sin 2x in the form R cos (2x + Y degrees) + p where R, y an

d p are constants. Find the maxium and minimum values of f(x) and sketch its graph in the domain -180 <= x <= 360
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0
2cos^2 x = 1 + cos 2x
cos^2 x = 1/2(1 + cos 2x)
f(x) = 6cos^2 x - 4 sin 2x = 6(1/2(1 + cos 2x) - 4 sin 2x = 3 + 3cos 2x - 4sin 2x
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Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a c
antoniya [11.8K]

The complete question is;

Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is 2/3.

The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067

Answer:

1) P(all 5 file no claim after 5 years) = 0.132

2) P(exactly 3 file claim after 5 years) = 0.033

Step-by-step explanation:

1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.

Thus, for all 5 of them,

The probability will be;

P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132

2) since probability of each not filing a claim for last 5 years = 2/3

Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3

So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.

The closest answer is 0.033.

3 0
3 years ago
Evaluate the expression(-3.8)+0+y for the given values of y.
11111nata11111 [884]

Answer:

y = -3.3 then  -7.1

y = -7.1 then  -10.9

y = -2.6 then -6.4

y = 1 then -2.8

y = 4.2 then 0.4

Step-by-step explanation:

(-3.8)+0+y can be simplified to -3.8 + y. Evaluate each value for y by substituting it into the expression and solving.

y = -3.3 then -3.8 + -3.3 = -7.1

y = -7.1 then -3.8 + -7.1 = -10.9

y = -2.6 then -3.8 + -2.6 = -6.4

y = 1 then -3.8 + 1 = -2.8

y = 4.2 then -3.8 + 4.2 = 0.4

7 0
3 years ago
Sorry, but I also need help on this
Fudgin [204]

Answer:

I think it's A

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
The legs of the right triangle are 2 and 4. Find the length of the hypotenuse.
RoseWind [281]

Correct answer:

19.7ft

Explanation:

This problem is solved using the Pythagorean theorem  (a2+b2=c2).  In this formula a and b are the legs of the right triangle while c is the hypotenuse.

Using the labels of our triangle we have:

o2+a2=h2

\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

h=389ft2−−−−−√

Correct Answer →19.7ft

Hope this helps!

Sincerely; Victoria<3

8 0
3 years ago
Find the inverse of y=log(-2x)
kodGreya [7K]

Answer:f

−

1

(

x

Step-by-step explanation:

5 0
3 years ago
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