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2 years ago

What is the value of tan 0 in the unit circle below? (square root3/2,1/2)

Mathematics

1 answer:

Butoxors [25]2 years ago

8 0

Answer:

√3/3

Step-by-step explanation:

To obtain Tan θ ;

From trigonometry, tan θ = sin θ / cosθ

Given the paired value : (√3/2, 1/2)

The (cosine, sine ) pair ;

Tan θ = sin (1/2) / cos (√3/2)

Tan θ = (1/2 ÷ √3 / 2) = 1 / 2 * 2 / √3 = 2 / 2√3 = 1 / √3

Tan θ = 1 / √3

Rationlaizing the denominator :

1/√3 * √3/ √3 = √3/√9 = √3/3

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You interview four people. You find that person A is a married 24-year-old white female with 2 pets and whose college GPA was 2

nadezda [96]

Answer:

The data file is included in attached excel file.

Step-by-step explanation:

There are seven variables in the data file for four persons interviewed. Person type, marital status, ethnic group and gender are categorical variables while age, number of pets and GPA are quantitative variables. Person type is classified as A,B,C and D. Marital status consists of category married and single. Age of persons lies between 20-50. Ethic group has three categories that are white, Asian and Hispanic. Gender of persons has two categories male and female. Number of pets for the persons interviewed lies in the range of 2 to 5. Last GPA variable ranges from 2.2 to 3.8.

Download xlsx

4 0

3 years ago

Suppose that 37% of college students own cats. If you were to ask random college students if they own a cat what would the proba

Likurg_2 [28]

Using the binomial distribution, the probabilities are given as follows:

a) 0.37 = 37%.

b) 0.5065 = 50.65%.

c) 0.3260 = 32.60%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the fixed parameter is:

p = 0.37.

Item a:

The probability is P(X = 1) when n = 1, hence:

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

$P(X = 1) = C_{1,1}.(0.37)^{1}.(0.63)^{0} = 0.37$

Item b:

The probability is P(X = 3) when n = 3, hence:

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

$P(X = 3) = C_{3,3}.(0.37)^{3}.(0.63)^{0} = 0.5065$

Item c:

The probability is P(X = 2) when n = 4, hence:

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

$P(X = 2) = C_{4,2}.(0.37)^{2}.(0.63)^{2} = 0.3260$

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0

2 years ago

Please guys i only have one shot at this!

antoniya [11.8K]

Answer: 2/x+4x^2

Step-by-step explanation:

Do distrubitive property.

SO mutiply 2/5 to 5/x which is 10/5x or 2/x

then 2/5 times 10x^2

10*2/5=20/5 or 4

Done.

Have a nice day! :)

6 0

3 years ago

Read 2 more answers

Say that the economy is in an expansion, causing wages to increase by six percent. if you previously received a monthly salary o

Westkost [7]

From previously received a monthly salary of $1,375.00, Your new monthly salary increase by six percent would be $1,457.50.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

You previously received a monthly salary of $1,375.00

Now by economic expansion, causing wages to increase by 6%

Increment of the salary = 6% of 1,375.00

= 6/100 × 1,375

= 0.06 × 1,375

= $82.50

So, your new monthly salary would be = $1,375.00 + $82.50

= $1,457.50

Hence, your new monthly salary would be $1,457.50.

Learn more about percentages;

brainly.com/question/13450942

8 0

2 years ago

Please answer this question are you please

Mice21 [21]

It is too blurry to read it get a better camera

6 0

3 years ago