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photoshop1234 [79]
2 years ago
12

Help is much needed!!!

Mathematics
1 answer:
icang [17]2 years ago
5 0
Y - y1 = m (x + x1)

Solve for m by subtracting the y's and dividing them by the difference of the 2 x's.

-32 - 1 = -33
-8 - 3 = -11

Divide the two to get 3.

Use the first point (as instructed) and plug it into the equation.

y - (-32) = 3 (x - (-8))

y + [32] = [3] (x + [5])

The brackets are the fill in the blanks.
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The probability of tossing heads with a standard coin is 1/2, because it is one of two possible outcomes. The probability of tos
spayn [35]

Answer:

  a) 1/64

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Step-by-step explanation:

As you can tell from the example, the exponent of 1/2 is the number of heads in a row.

a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64

b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096

_____

<em>Additional comment</em>

The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.

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2 years ago
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olchik [2.2K]

Answer:

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Step-by-step explanation:

The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = π minutes

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2 years ago
A cylinder has a height of 12 feet and a radius of 5 feet. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest
beks73 [17]

Answer: The volume is 942 cubic feet   , 942 ft^3

Step-by-step explanation:

The formula for the volume of a cylinder is  v = pi* r^2 * h

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Input the values for pi, radius, and the height into the formula to solve for the volume.

v = 3.14* (5^2) * 12

V = 3.14* 25 * 12

V = 942

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Step-by-step explanation:

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