Answer:
y — x = 5
5y — x = 353
Step-by-step explanation:
Let the fifth score be x
Let the average of all the scores be y.
But the fifth score is 5 points lower than the average ie
y — x = 5 (1)
The average of the scores is the sum of all the scores divided the number of scores. This is written as
y = (85 + 92 + 82 + 94 + x) /5
y = (353 + x) /5
Multiply through by 5
5y = 353 + x
Rearrange the equation
5y — x = 353 (2)
The equation Markus will use to determine the x is given as
y — x = 5
5y — x = 353
Answer:
61.15 m
Step-by-step explanation:
From trigonometry :
Tan x = opposite / Adjacent
x = 28°
Tan 28 = distance from base to fire / height
0.5317094 = distance from base to fire / 115
distance from base to fire = 115 * 0.5317094
distance from base to fire = 61.15 m
Answer:
=16+9=25
Step-by-step explanation:
Answer:
a) 1/64
b) 1/4096
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
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<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.
160 inches... I am 98% sure I am correct
