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3 years ago

Sinx + cosx= 1 then find the value of x

1 answer:

4 0

$1√2sinx+1√2cosx=1√2.

This can be written as

cos(x−π4)=cos(π4)

The general solution of this equation ls

x−.π4=2nπ±π4,n=0,±1,±2,...,

So, x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....

 ANSWER: x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....$

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The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is selling Chinese fo

PolarNik [594]

Answer:

- the probability she will win the dinner for two is 0.016

- the probability she will not win the dinner for two is 0.984

- Lisa's expected earnings is $0.57

- Money she effectively contributed to the hiking club is $11.43

Step-by-step explanation:

Given the data in the question;

fortune cookies; $1 per cookies

club sold 743

a) Lisa bought 12 cookies. What is the probability she will win the dinner for two?

P( she will win ) = Number of cookies bought / Total number of cookies

P( she will win ) = 12 / 743

P( she will win ) = 0.01615 ≈ 0.016

Therefore, the probability she will win the dinner for two is 0.016

P( she will not win ) = 1 - P( she will win )

P( she will not win ) = 1 - 0.016

P( she will not win ) = 0.984

Therefore, the probability she will not win the dinner for two is 0.984

b) Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? (Round your answer to two decimal places.)$

given that value of dinner = $35

P( she will win ) = 0.01615

Lisa's earning = $35 × 0.01615

Lisa's earning = $0.57

Therefore, Lisa's expected earnings is $0.57

- How much did she effectively contribute to the hiking club? (Round your answer to two decimal places.)$

Lisa's contribution = Money she paid for cookies - money from expected earnings

Lisa's contribution = ( 12 × $1 ) - $ 0.57

Lisa's contribution = $12 - $0.57

Lisa's contribution = $11.43

Therefore, Money she effectively contributed to the hiking club is $11.43

4 0

3 years ago

in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y

Ipatiy [6.2K]

you showed no diagram or any picture / screenshot

4 0

2 years ago

curtis threw 15 darts at a dart board and 40% of his darts hit the bulls eye how many darts missed the bulls eye

ioda

Answer:

Step-by-step explanation:

40 -100 = 60 and 60 percent of 15 is 9

3 0

3 years ago

Can you help me with this?

satela [25.4K]

I cant hardly see it ,what's the question?

8 0

3 years ago

8x8x8=_______=_______

zaharov [31]

Answer:

8*8*8= 8^3= 512

Step-by-step explanation:

6 0

3 years ago

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