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3 years ago

E

Mathematics

1 answer:

Strike441 [17]3 years ago

7 0

Answer:

19.4

Step-by-step explanation:

that is the answer

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Determine the number of possible outcomes when tossing one coin ,two coins ,and three coins then determine the number of possibl

m_a_m_a [10]

Number of possible outcome for tossing N coins = $2^N$

Solution:

Possible outcomes when tossing one coin = {H, T}

Number of possible outcomes when tossing one coin = 2 $=2^1$

Possible outcomes when tossing two coins = {HH, HT, TH, TT}

Number of possible outcomes when tossing two coins = 4 $=2^2$

Possible outcomes when tossing three coins

= {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}

Number of possible outcomes when tossing three coins = 8 $=2^3$

Therefore, the sequence obtained is $2^1, 2^2, 2^3$ .

If continue this sequence, we can obtain number of possible outcome for tossing N coins is $2^N$ .

7 0

3 years ago

A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

3 years ago

Celia is scheduled to work a total of 20 hours this week. So far she has worked

Fudgin [204]

Answer:

15 hours.

Step-by-step explanation:

20 can be divided into quarters, 3 quarters is 15/20 hours.

6 0

3 years ago

The following shows a corn maze for participants to walk through. The participants can only go forward and when there is a fork

eduard

I'm not really sure but I know that the answer is definitely not 0.25 or 0.5.

3 0

4 years ago

Read 2 more answers

Kira owes Mark $5, and Mark owes Kira $7. Which of the following statements means the same thing?

S_A_V [24]

Answer:

They both owe each other

Step-by-step explanation:

7 0

3 years ago