Write all names that apply to number" 36/4"

A fair coin is tossed three times in succession. The set of equally likely outcomes is StartSet HHH comma HHT comma HTH comma TH

liq [111]

The probability of getting exactly zero tails is 1/8.

Step-by-step explanation:

When a fair coin is tossed three time, the set of equally likely outcomes is:

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

n(S)=8

Let A be the event that there are exactly zero tails which means there are all heads

Then

A= {HHH}

n(A)=1

$P(A)=\frac{n(A)}{n(S)}\\=\frac{1}{8}$

The probability of getting exactly zero tails is 1/8.

Keywords: Probability, Equally likely events

Learn more about probability at:

#LearnwithBrainly

5 0

3 years ago

What is the postulate?

ICE Princess25 [194]

Suggest or assume the existence, fact, or truth of something as a basis for reasoning, discussion, or belief.

4 0

3 years ago

What is the height of the support beam?

Marysya12 [62]

Answer:

36 meters

Step-by-step explanation:

Using pythagorean theorem, 36² - 15² = 1296. √1296 = 36 meters

4 0

3 years ago

Read 2 more answers

An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15

NeTakaya

Answer:

D. 22,417 feet

Step-by-step explanation:

Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.

Hypotenuse = x and Opposite = 15,000feet

According to SOH;

$sin 42^0 = \frac{Opposite}{Hypotenuse} \\\\Sin42^0 = \frac{15000}{x}\\ \\x = \frac{15000}{sin42^0}\\\\ \\$

$x = \frac{15000}{ 0.6691} \\\\x = 22,417 feet$

Hence the distance (x) from the plane P to the observer O is approximately 22,417 feet

3 0

3 years ago

Find the domain and the range of f(x)=2-x+sin x

stellarik [79]

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.(−∞,∞)-∞,∞{x|x∈R}x|x∈ℝFind the magnitude of the trig term sin(x)sinx by taking the absolute value of the coefficient.11The lower bound of the range for sine is found by substituting the negative magnitude of the coefficient into the equation.y=−1y=-1The upper bound of the range for sine is found by substituting the positive magnitude of the coefficient into the equation.y=1y=1The range is −1≤y≤1-1≤y≤1.[−1,1]-1,1{y|−1≤y≤1}y|-1≤y≤1Determine the domain and range.Domain: (−∞,∞),{x|x∈R}-∞,∞,x|x∈ℝRange: [−1,1],{y|−1≤y≤1}

8 0

3 years ago