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natali 33 [55]
1 year ago
11

I need some help answering this

Mathematics
1 answer:
maria [59]1 year ago
3 0

Answer:

Θ = 50°

Step-by-step explanation:

Using the cofunction identity

tan(90 - x)° = cotx°

Given

cot40°, then

tan Θ = tan(90 - 40)° = tan50°

Thus Θ = 50°

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It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra
aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.  

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

P(R/TH)=\frac{P(R y TH)}{P(TH)}

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

P(R/TH)=\frac{0.45}{0.6} =0.75

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

5 0
3 years ago
Which of these strategies would eliminate a variable in the system of equations?
Lubov Fominskaja [6]

Answer:

B

Step-by-step explanation:

2x-5y=13.........(1) × 3

-3x+2y=13.......(2) × 2

6x - 15y = 39

-6x + 4y = 26

Adding

6x - 6x - 15y + 4y = 13 + 13

5 0
3 years ago
Read 2 more answers
In a sale the price of a sofa a reduced from £2500 to £1840 what is the percentage decrease
11111nata11111 [884]

9514 1404 393

Answer:

  26.4% decrease

Step-by-step explanation:

The amount of change is ...

  2500 -1840 = -660

As a percentage of the original price, that is ...

  -660/2500 × 100% = -26.4% . . . . . negative change = decrease

The decrease is 26.4%.

7 0
2 years ago
Charles earned a total of $180 from working 12 hours. He earned the same amount each hour. Write an equation to describe the rel
olga2289 [7]

Answer:

he earns $15 an hour. the equation is 12h=t

Step-by-step explanation:

you can make the equation 180=12x where x equals the amount per hour

divide 12 by both sides and you get x=15 which means he makes 15 dollars an hour

7 0
3 years ago
PLEASE HELP!!!!!
viva [34]

you pick one candy at random.

6 0
2 years ago
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