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Natalija [7]
4 years ago
11

If 2tanx/1-tan^2x=1/sqrt 3, then x can equal

Mathematics
1 answer:
lara [203]4 years ago
4 0

Answer:

15°,105°,195°,285°

Step-by-step explanation:

\frac{2 tan ~x}{1-tan^2 x} =\frac{1}{\sqrt{3} } \\tan ~2x=tan~30,tan~210,tan~ (30+360),tan~(210+360)\\2x=30,210,390,570\\x=15^\circ,105^\circ,195^\circ,285^\circ

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Researchers have a sample size of 24 , and they are using the Student's t-distribution. What are the degrees of freedom and how
DerKrebs [107]

Answer:

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

7 0
3 years ago
Help please I need it​
Nimfa-mama [501]

Answer:

a

Step-by-step explanation:

because 8-2 is 6. and 8 times 5 is 30.

5 0
3 years ago
Read 2 more answers
he city of Metropolita added a new subway station in a neighborhood between two existing stations. After the station was built,
saw5 [17]

Answer:

V= $8

Step-by-step explanation:

Letting V denote the value of an hour,

the annual value of the time savings from the change can be written as

= (5 days/week × 50 weeks/year × .25 hours/day) × V, or 62.5 V per year.

The present value of 62.5 V per year, forever, at a 5% discount rate, is

= 62.5 V / 0.05.

The implication of the change in house prices is that households were willing to pay $10,000 to gain 15 minutes per commuting day, i.e., that the present value of the time savings is $10,000.

Setting 62.5 V / 0.05 = $10,000 and solving gives V = $8

5 0
3 years ago
Pls help not really getting this
LenaWriter [7]

A proper fraction is a fraction such as 3/5, or 2/4, any fraction where the numerator is less than the denominator. Then it says "the whole is divided into an even number of equal parts, and an odd number of those parts exists." Such as 1 3/5. From my understanding, you then divide by 2, which would give you 0.8, which could then be turned into 0.4 if that's what your teacher wants you to do. In the end, there will be no odd number.

8 0
3 years ago
The number which is 3.6 less than -4.7
krok68 [10]
8.3 should be the answer
5 0
3 years ago
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