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Vladimir79 [104]
2 years ago
5

Mickey tosses a coin 50 times and records 27 heads. Based on these results, what is the probability if

Mathematics
1 answer:
JulijaS [17]2 years ago
4 0

The probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

<h3>What is probability of an event?</h3>

It is the ratio in an event of the number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus, he probability of failure of a event is equal to the difference of the 1 to the success of the event.

Mickey tosses a coin 50 times and records 27 heads. Thus, the probability of getting a head is,

P=\dfrac{27}{50}\\

The probability of not getting a head or getting a tail is,

P^{-1}=1-\dfrac{27}{50}\\P^{-1}=\dfrac{50-27}{50}\\P^{-1}=\dfrac{23}{50}

Now, Mickey tosses the same coin three more times. The probability of getting three tails in these tosses are,

P_{3t}=\dfrac{23}{50}\times\dfrac{23}{50}\times\dfrac{23}{50}\\P_{3t}=\dfrac{12167}{125000}

Thus, the probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

Learn more about the probability here;

brainly.com/question/24756209

#SPJ1

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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
Which of the following statements about trapezoids is true?
Vikki [24]

Answer:

B

Step-by-step explanation:

Trapezoids have only one pair of parallel lines.        

3 0
3 years ago
X^2-8x+10=-4 quadratic equation written in standard form
ASHA 777 [7]
Rewriting the formula in standard form would be x^2-8x+14=0
3 0
3 years ago
Determine the astm grain size number if 33 grains per square inch are measured at a magnification of 270×
strojnjashka [21]
8.9

The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
Nm = number of grains per square inch at magnification M.
M = Magnification
n = ASTM grain size number

Let's solve for n, then substitute the known values and calculate.
Nm(M/100)^2 = 2^(n-1)

log(Nm(M/100)^2) = log(2^(n-1))
log(Nm) + 2*log(M/100) = (n-1) * log(2)
(log(Nm) + 2*log(M/100))/log(2) = n-1
(log(Nm) + 2*log(M/100))/log(2) + 1 = n

(log(33) + 2*log(270/100))/log(2) + 1 = n
(1.51851394 + 2*0.431363764)/0.301029996 + 1 = n
(1.51851394 + 0.862727528)/0.301029996 + 1 = n
2.381241468/0.301029996 + 1 = n
7.910312934 + 1 = n
8.910312934 = n

So the ASTM grain size number is 8.9

If you want to calculate the number of grains per square inch, you'd use the
same formula with M equal to 1. So:
Nm(M/100)^2 = 2^(n-1)
Nm(1/100)^2 = 2^(8.9-1)
Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458

Or about 2,400,000 grains per square inch.
7 0
3 years ago
Given the function below, what value will result in f(x)=10?<br> f(x)=1/2x+8
nignag [31]
10 = 1/2x + 8
2 = 1/2x
X = 4
5 0
3 years ago
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