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mario62 [17]
2 years ago
13

The spinner below shows 5 equally sized slices. Tammy spun the dial 25 times and got the following results. Fill in the table be

low. Round your answers to the nearest thousandths.

Mathematics
1 answer:
Helen [10]2 years ago
6 0

Answer:

a) 4/25, or 0.16, or 16%

b) 1/5, or 0.2, or 20%

c) The first option - the theoretical and experimental values should become closer the more trials that are performed.

Step-by-step explanation:

a) 4 of Tammy's 25 spins landed on black, so the experimental probability is 4/25, or 0.16, or 16%.

b) The spinner is split into 5 equal sections. Assuming it is fair, the chance of landing in any given section for a single spin is 1/5, or 0.2, or 20%.

c) The theoretical and experimental values should get closers the more trials you do.

For example, consider 1 coin flip vs 100. The theoretical probability of landing on a given side of a coin is 1/2, or 0.5, or 50%. With a single flip, your experimental probability will either be 0% or 100%, both off of the theoretical probability by 50%. After 100 flips however, the experimental and theoretical probabilities will be much closer to each other.

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find the magnitude of two forces f1 and f2 such that at right-angle to each other, their resultant is √13N. Also, if the two for
serious [3.7K]
This can be solved a couple of ways. One way is to use the Pythagorean theorem to write equations for the magnitude from the components of the forces. That is what was done in the graph here.

Another way is to use the Law of Cosines, which lets you make direct use of the angle between the vectors.
.. 13 = a^2 +b^2 -2ab*cos(90°)
.. 19 = a^2 +b^2 -2ab*cos(120°)
Subtracting the first equation from the second, we have
.. 6 = -2ab*cos(120°)
.. ab = 6

Substituting this into the first equation, we have
.. 13 = a^2 +(6/a)^2
.. a^4 -13a^2 +36 = 0
.. (a^2 -9)(a^2 -4) = 0
.. a = ±3 or ±2

The magnitudes of the two forces are 2N and 3N, in no particular order.

5 0
3 years ago
What is the common difference for this arithmetic sequence?54,50,46,42,38,...​
drek231 [11]

Answer:

Minus each number to figure out the common difference which is -4.

54-4= 50

50-4= 46

46-4= 42

42-4= 38

3 0
3 years ago
Quadratic equations and functions. <br> n^2+2n-15=0
sveta [45]

Answer:

n = -5, 3.

Step-by-step explanation:

n^2 + 2n - 15 = 0

Let's check if we can factor this quadratic:

We need 2 numbers whose product is -15 and whose sum is +2.

There are 2 such numbers and they are +5 and -3, so the factors are:

(n + 5)(n - 3) = 0.

n + 5 = 0 or n - 3 = 0

therefore the zeroes are -5 and 3.

8 0
3 years ago
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belka [17]
Assuming a d-heap means the order of the tree representing the heap is d.
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6 0
3 years ago
How does three digit division works
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8 0
3 years ago
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