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arlik [135]
3 years ago
6

Calculate the diameter of a circle if it's circumference is 25.1

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0
The answer would be 7.99.
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Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i
steposvetlana [31]

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i):</em></u>-

Given  Z₁ = 9 - 9 i    and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A =  Z₁ = x₁ +i y₁ = 9 - 9 i and

    B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

     (x₂, y₂) = (10, -9)

<u>Step(ii)</u>:-

<em>The distance between the two points are </em>

    A B   =   \sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2}    }

    A B =   \sqrt{(10 - 1)^{2}+(-9 - (-9))^{2}    }

   AB   = \sqrt{(9)^{2} +(-9+9)^{2} }

 <em> AB    =  √81 = 9</em>

<u><em>Conclusion:-</em></u>

The distance between the two given complex numbers = 9

<u><em></em></u>

3 0
3 years ago
You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your
Fofino [41]

Answer:

y = 0.80

Step-by-step explanation:

Given:

- The expected rate of return for risky portfolio E(r_p) = 0.18

- The T-bill rate is r_f = 0.08

Find:

Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%.

What is the proportion y?

Solution:

- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:

                                     E(r_c) = y*E(r_p) + (1 - y)*r_f

                                     y*E(r_p) + (1 - y)*r_f = 0.16

- Re-arrange for proportion y:

                                     y = ( 0.16 - r_f ) / (E(r_p) - r_f)

- Plug in values:

                                    y = ( 0.16 - 0.08 ) / (0.18 - 0.08)

                                    y = 0.80

- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.                                    

               

4 0
3 years ago
Find the measure of angle Y
Musya8 [376]

Answer:

∠y=60°

Step-by-step explanation:

Question says to find the measure of the angle Y.

We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.

∠x = ∠y = ∠z...(i)

We know that sum of all three angles of the triangle is always 180°.

So we can write:

∠x+∠y+∠z=180°

∠y+∠y+∠y=180°  {using equation (i) }

3∠y=180°

divide both side by 3

∠y=60°

Hence final answer is the measure of angle y is 60 degree.

8 0
3 years ago
Ten frequent gamers are randomly selected. The random variable represents the number of frequent gamers who play video games on
notsponge [240]

Answer:

For this to be a binomial experiment, the assumption that is made is:

C. The probability of being selected is the same for all ten gamers.

Step-by-step explanation:

a) A binomial experiment must meet the following four conditions:

1. The experiment must consist of 'n' identical trials.

2. Each experiment must result in one of the two outcomes of either success or failure.

3. The probability of success (p) must remain the same from one experiment to the next.

5 0
2 years ago
Read 2 more answers
What is the circumference in centimeters the circle is 24 centemeters in diamater
Pachacha [2.7K]

Answer:C≈75.4cm

d Diameter

24

cm

d

r

r

r

d

d

C

A

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·24≈75.39822cm

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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