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2 years ago

What is the difference between constructing a square and constructing a regular hexagon?

Mathematics

1 answer:

dexar [7]2 years ago

5 0

Answer:

The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.Step-by-step explanation:

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Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and

cluponka [151]

Answer:

Thus, the expected value of points for Derek and Mia are $\dfrac{-1}{9}$ and $\dfrac{1}{9}$ respectively.

Step-by-step explanation:

Number of green marbles = 2 and Number of Yellow marbles = 1

Then, total number of marbles = 2+1 = 3

A person selects two marbles one after another after replacing them.

So, the probabilities of selecting different combinations of colors are,

$1.\ P(GG)=P(G)\times P(G)\\\\P(GG)=\dfrac{2}{3}\times \dfrac{2}{3}\\\\P(GG)=\dfrac{4}{9}$

$2.\ P(GY)=P(G)\times P(Y)\\\\P(GY)=\dfrac{2}{3}\times \dfrac{1}{3}\\\\P(GY)=\dfrac{2}{9}$

$3.\ P(YG)=P(Y)\times P(G)\\\\P(YG)=\dfrac{1}{3}\times \dfrac{2}{3}\\\\P(YG)=\dfrac{2}{9}$

$4.\ P(YY)=P(Y)\times P(Y)\\\\P(YY)=\dfrac{1}{3}\times \dfrac{1}{3}\\\\P(YY)=\dfrac{1}{9}$

Now, we have that,

If two marbles are of same color, then Mia gains 1 point and Derek loses 1 point.

If two marbles are of different color, then Derek gains 1 point and Mia loses 1 point.

<h3>Also, the expected value of a random variable X is $E(X)=\sum_{i=1}^{n} x_i\times P(x_i)$ .</h3>

Then, the expected value of points for Derek is,

$E(D)= (-1)\times \dfrac{4}{9}+1\times \dfrac{2}{9}+1\times \dfrac{2}{9}+(-1)\times \dfrac{1}{9}\\\\E(D)= \dfrac{-5}{9}+\dfrac{4}{9}\\\\E(D)=\dfrac{-1}{9}$

And the expected value of points for Mia is,

$E(M)= 1\times \dfrac{4}{9}+(-1)\times \dfrac{2}{9}+(-1)\times \dfrac{2}{9}+1\times \dfrac{1}{9}\\\\E(M)= \dfrac{5}{9}-\dfrac{4}{9}\\\\E(M)=\dfrac{1}{9}$ .

Thus, the expected value of points for Derek and Mia are $\dfrac{-1}{9}$ and $\dfrac{1}{9}$ respectively.

8 0

3 years ago

Read 2 more answers

Parabola skate rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc Hawk Skat rental rents skate boards fo

mel-nik [20]

Answer:

Variable: h is hours and r is the rental costs

Two equations are:

For Parabola Skate rental company; $r =4.50h + 35$

For Arc Hawk Skate rental company; $r =5.25h + 25$

Rate of change for each company:

Parabola: rate of change is, 4.50 per hours

Arc Hawk: rate of change is, 5.25 per hours

Step-by-step explanation:

Let h represents the hours and r represents the rental costs.

Parabola Skate rental company: rents skate boards for $4.50 per hour with a rental fee of $35.

⇒ $r =4.50h + 35$

Arc Hawk Skate rental Company: rents skate boards for 5.25 per hour with a rental fee of $25.

⇒ $r =5.25h + 25$

To find the rate of change for each rental company:

Rate of change states the rate that describes how one quantity changes in relation to another quantity.

If y is the dependent variable and x is the independent variables

then,

$y=mx+b$ ; where m is the slope or rate of change.

In this question, rate of change(m) represents the costs per hour to rent the skate boards.

For Parabola Skate rental company:

Rate of change = 4.50 per hour

For Arc Hawk Skate rental company:

Rate of change = 5.25 per hour

5 0

3 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form

konstantin123 [22]

X=y=29 divided by square root of 2.
Hope this helped!!!
Sorry I could not give you the exact value.
I guess it is 20.506

4 0

4 years ago

Can someone please help me with this

Nezavi [6.7K]

Answer:

3.72 x 100000000= 372000000

1.2 x 100000 = 120000

Step-by-step explanation:

idek

6 0

3 years ago

Read 2 more answers

A Choir director made a histogram showing his ages of the members in choir which statement about the data in the histogram must

aleksandr82 [10.1K]

Answer:

C) The choir has a total of 100 members

Step-by-step explanation:

Histogram is the graphical representation of data with the use of bars of different heights.

From the histogram attached:

A) Number of people fro 46 to 73 years = 30 + 5 + 15 = 50

Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100

Therefore half of the people are from 46 to 73 years.

Therefore the statement that more than half of the people are from 46 to 73 years is wrong.

B) The histogram shows the number of members between each age range, it does not show the number of male and female members. Hence we cannot determine the number of male and female members.

C) Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100

The choir has a total of 100 members

D) Number of people less than 32 years = 15 + 20 = 35

Therefore the statement that exactly 20 members are less than 32 years is wrong

6 0

3 years ago