A coin is tossed 5 times in a row. What is the size of the sample space of this experiment?

Answers

Answer 1
Answer:

Answer:  

Therefore, Size of the sample space = 32

Step-by-step explanation:

Number of times a coin is tossed up = 5

Number of possible outcomes in a toss of a coin = 2 ( Head or a Tail)

The sample space can be calculated by calculating total number of possible outcomes in 5 tosses of the coin.

Number of outcomes in 1 toss of a coin = 2

Number of outcomes in 2 tosses of a coin = 2 × 2

Number of outcomes in 3 tosses of a coin = 2 × 2 × 2

Number of outcomes in 4 tosses of a coin = 2 × 2 × 2 × 2

Number of outcomes in 5 tosses of a coin = 2 × 2 × 2 × 2 × 2

⇒ Total number of outcomes = 32

Therefore, Size of the sample space = 32

Answer 2
Answer:

the answer is 32.

you get this by raising 2 to the 5th power


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Find cotx if sinx cotx cscx = sqrt2

Answers

Answer:

cot(x)=\sqrt2

Step-by-step explanation:

sin(x)cot(x)csc(x) = \sqrt2     , csc(x) = 1/sin(x)

sin(x)cot(x)((1)/(sin(x))) = \sqrt2

cot(x)=\sqrt2

a 60 foot cable is stretched from the top of a pole to an anchor it is anchored on the ground 19 feet away from the base of the pole how tall is the pole

Answers

Answer:

56.95 feet

Step-by-step explanation:

To find the height of the pole, you can use the Pythagorean Theorem because the cable, the height of the pole, and the distance from the base of the pole to the anchor form a right triangle.

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).

In this case, the height of the pole is the side we want to find (let's call it "h"), the distance from the base of the pole to the anchor is 19 feet (let's call it "d"), and the cable's length is 60 feet (the hypotenuse).

So, the equation is:

h^2 + d^2 = hypotenuse^2

h^2 + 19^2 = 60^2

Now, we can solve for "h":

h^2 + 361 = 3600

Subtract 361 from both sides:

h^2 = 3600 - 361

h^2 = 3239

Now, take the square root of both sides to find "h":

h = √3239

h ≈ 56.95 feet

So, the height of the pole is approximately 56.95 feet.

About how far can a subway car travel in 1 hour if its average is 0.96 miles per minute?

Answers

Answer:

57.6 miles per hour

Step-by-step explanation:

0.96 miles per minute

60 minutes per hour

0.96X60=57.6 miles per hour

57.6 is the answer. have a great dayyyyy :)

If 3x - 4 = 14, then ________. 1) x = 6 2) x = 4 3) x = 10 4) x = 8

Answers

Answer:

x=6

Step-by-step explanation:

3x=14+4

x=18/3

i.e x = 6

Introduction to addition or subtraction of fractions with different denominator 3/5+1/3

Answers

You must find the same denominator by finding the closest common factor of both.
In this case it would be 15 because both 5 and 3 go into 15.
You then have to multiply the numerator by the number you multiplied to get the denominator.
So you multiply
Nevermind just look at the pic.

Five eighths added to Q number is 4. Determine the number.

Answers

Yes five eights added to Q is 4!