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Dafna1 [17]
3 years ago
7

You toss 3 fair coins in the air at once.

Mathematics
1 answer:
MAVERICK [17]3 years ago
5 0
The probability of a head or tail upon flipping is 50-50. THe asnwers are as followsL
a. {HHH, HHT, HTT, TTT, TTH, THH, HTH, THT}b and c.  p = 3C3 * 0.5^3 = 0.125d. from a, p = 3/8 = 0.375e. from a, p = 3/8 = 0.375f. 0.875
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(Will give Brainliest/5 Stars if correct answer)
tensa zangetsu [6.8K]
Answer: Choice D) 
The angle between the two vectors is approximately 71.6 degrees

----------------------------------------------
----------------------------------------------

Work Shown: 

Each time I write the word "dot" I mean "dot product". 

|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)

-----------------------

|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)

-----------------------

u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36

-----------------------

cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)

That's why the approximate answer is roughly 71.6 degrees

7 0
3 years ago
A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the peng
MatroZZZ [7]

Answer:

Step-by-step explanation:

21 feet below is written as -21

9 feet up is written as +9

So we have -21 + 9 = -12 or 12 feet below sea level

6 0
3 years ago
Read 2 more answers
Research the keywords "shaping by successive approximation" on the Internet. Shaping is a
NNADVOKAT [17]

Answer and Step-by-step explanation:

The concept of "shaping" is: "a term of behaviur that refers to slowly shaping or educating an organ to execute a particular response by improving any responses that come even close to the desired answer.

Let's take one rat example.

Here, in an experiment, a researcher may use moulding technique to coach a rat to push a lever.

To begin with, the researcher may award the rat if it does any movement in the lever direction at all. The rat will then simply take a step towards to the lever to be rewarded. Likewise, as the rat moves over to the lever and so forth, the rat also gets a reward before just pushing the lever generates reward.

Here the behaviour of the rat was 'formed' in order to make it push the lever. According to the example, any time the rat is awarded, it is praised for a "successive approximation" or for behaving in a manner that is nearer to the desired behaviour or result.

Likewise, algebraic equations are also progression steps and step-by - step progression allows solve the issue.

8 0
2 years ago
Please help ASAP. I really need this it is almost due. Please give me the right answer.
IceJOKER [234]
A and D
Put 3 in the equations and solve
5 0
3 years ago
Find the prime factorization of 72.​
barxatty [35]

Answer:

2^3×3^2

and yh

Step-by-step explanation:

2×2×2×3×3

5 0
3 years ago
Read 2 more answers
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