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anygoal [31]
3 years ago
10

identify the following probability as theoretical or empirical. After tossing the same coin 10 times, you are surprised to find

that tails has come up 8 times. You therefore conclude that this coin is not fair and that the probability of getting tails with this coin is 0.80. A. Empirical B. Theoretical
Mathematics
2 answers:
ICE Princess25 [194]3 years ago
3 0
The answer is B Theoretical
SCORPION-xisa [38]3 years ago
3 0

Answer:

A. Empirical

Step-by-step explanation:

Theoretical probability is defined as a probability which is based on reasoning. This is written in a ratio form - of the number of favorable outcomes to the number of possible outcomes.

And the empirical probability gives an estimation of an event occurring based on how often that event occurred after collecting the data from large number of trials.

So, based on the definitions, the given scenario is empirical or experimental probability.

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Graph the image of the polygon after the given rotation. 90 degrees
Elan Coil [88]

Answer:

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4 0
2 years ago
2. An arc is a smooth piece of a circle. A major arc of a circle is an arc that is
Maru [420]

Answer: Major arc = ∅/360 (2πr)

Step-by-step explanation: Just as the question stated, an arc is a smooth piece of a circle. Simply put, it is a portion of the entire circumference. The arc is usually bounded by an angle at the center of the circle (very similar to a slice of pizza). Using a slice of pizza as a classic example, the outer edge where the slice is pulled out from is the length of the arc, while the angle at the tip which is pulled out from the center is the angle that encloses the arc.

Just as a slice of pizza is a minor part of the whole shape, in the same way an arc is a minor part of a circle. However, to calculate the length of the arc, the angle at the center which encloses the arc must be given and the radius of the circle must also be given.

If an arc runs around a circle and turns out to be longer than half of the entire length of the circumference, it is labelled as a major arc. Basically, the formula for calculating the length of an arc is the same for either a minor or a major arc.

Therefore, to calculate the length of an arc, you would need to find the proportion of the circle represented by the arc and that can be calculated by dividing the angle binding the arc by 360 (size of an angle at a point equals 360 degrees). So, if the angle that encloses the arc is 60 degrees for example, then the portion of the circle taken by the arc is given as

60/360

This means the length of the arc (which is a portion of the entire circumference) can be determined by multiplying the portion of the  central angle by the entire length of the circumference.

Therefore you can calculate the measure of major arc ABC by applying the formula

Length of an arc = ∅/360 (2πr)

Where ∅ is the angle enclosing the arc at the center of the circle

r is the radius of the circle and

π is usually given as 3.14 (or 22/7)

Please note that for a major arc, the value of ∅ would be greater than 180°. The measurement used in the explanation above is just an example for the sake of ease of explanation.

And where the only the angle measure of the minor arc is given, the angle measure of the major arc can be derived as 360 - angle of minor arc. That is;

Angle of major arc = 360 - angle of minor arc

6 0
3 years ago
Find 3 consecutive odd integers such that 10 times the first is 59 more than the third?
Nikolay [14]

Answer: The required three consecutive odd integers are 7, 9 , 11.

Step-by-step explanation:

Let x , x+2 , x+4 be the three consecutive odd integers.

As per given ,  

10(x) = 59+x+4

⇒10x= 59+x+4

⇒ 9x= 63

⇒ x= 7   [ divide both sides by 7]

Hence, the required three consecutive odd integers are 7, 9 , 11.

7 0
3 years ago
Find the value of m and n, if 6*12^m=9^4*2^n
lukranit [14]

Answer:

3*2*3^m*4^m=3^8*2^n

3^m+1*2^2m+1=3^8*2^n

m+1=8

m=7

2m+1=n

n=15

Step-by-step explanation:

6 0
3 years ago
Please answer 100 points<br> Divide. 6 from 3/5 <br> 10<br> 30<br> 20<br> 15
almond37 [142]

Answer:

Step-by-step explanation:

What is 6 divided by 3/56 ÷ 3 5. The trick to working out 6 divided by 3/5 is similar to the method we use to work out dividing a fraction by a whole number. ... 6 x 5 3 = 30 3. So, the answer to the question "what is 6 divided by 3/5?" ... 30 3. ... 10 1. ... 10 1 = 10.

5 0
2 years ago
Read 2 more answers
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