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nadya68 [22]
3 years ago
6

Write an equation in slope-intercept form for the line that satisfies the following condition.

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Slope-intercept form:  y = mx + b  [m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis]

For lines to be parallel, they have to have the same slope

y = x + 7

m = 1       So the parallel line's slope is also 1

y = mx + b

y = x + b     To find b, plug in the point (8, 10) into the equation

10 = 8 + b    Subtract 8 on both sides

2 = b

y = x + 2

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Jose and Sue are playing a board game. If they land on a red or blue square, they lose 1 point. The inequality statement compare
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3 years ago
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An airplane flies at a constant speed. It can travel a distance (d) of 1,800 kilometers in 2 hours (t).
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The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,425.
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A sports survey taken at THS shows that 48% of the respondents liked soccer, 66% liked basketball and 38% liked hockey. Also,30%
In-s [12.5K]

Answer:

a) The Venn diagram is presented in the attached image to this answer.

b) 0.82

c) 0.16

Step-by-step explanation:

a) The Venn diagram is presented in the attached image to this answer.

n(U) = 100%

n(S) = 48%

n(B) = 66%

n(H) = 38%

n(S n B) = 30%

n(B n H) = 22%

n(S n H) = 28%

n(S n B n H) = 12%

The specific breakdowns for each subgroup is calculated on the Venn diagram attached.

b) The probability that a randomly selected student likes basketball or hockey.

P(B U H)

From the Venn diagram,

n(B U H) = n(S' n B n H') + n(S' n B n H) + n(S n B n H') + n(S n B n H) + n(S n B' n H) + n(S' n B' n H) = 26 + 10 + 18 + 12 + 16 + 0 = 82%

P(B U H) = 82/100 = 0.82

c) The probability that a randomly selected student does not like any of these sports.

P(S' n B' n H')

n(S' n B' n H') = n(U) - [n(S' n B n H') + n(S' n B n H) + n(S n B n H') + n(S n B n H) + n(S n B' n H) + n(S' n B' n H) + n(S n B' n H')]

n(S' n B' n H') = 100 - (26 + 10 + 18 + 12 + 16 + 0 + 2) = 100 - 84 = 16%

P(S' n B' n H') = 16/100 = 0.16

4 0
3 years ago
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