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
the answer is 32.
you get this by raising 2 to the 5th power
Answer:
Step-by-step explanation:
, csc(x) = 1/sin(x)
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.
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
Answer:
x=6
Step-by-step explanation:
3x=14+4
x=18/3
i.e x = 6