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vazorg [7]
3 years ago
12

If the line with the slope 5 that passes through the point (-1,3) intersects the x axis at a point, what are the coordinates of

this point?
Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer: (-8/5,0)

Step-by-step explanation: If the slope is 5, m = 5

For (-1,3) we have x₀= -1 and y₀ = 3, to find the line equation

y - y₀ = m(x - x₀)

y - 3 = 5(x - (-1))

y - 3 = 5(x + 1)

y - 3 = 5x + 5

y = 5x + 8

A P that intersects the x axis has y = 0

0 = 5x + 8

5x = -8

x = -8/5

P (-8/5,0)

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Part a)

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We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

P(X \: < \: 24.5) = P(z \: < \:  \frac{24.5 - 19.29}{4.33} )  \\ =   P(z \: < \: 1.20)  \\  = 0.8849

Part c)

We want to find the probability that

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P(X≥11)

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P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

P(X \: > \: 10.5) = P(z \: > \:  \frac{10.5 - 19.29}{4.33} )  \\ = P(z \: > \:  - 2.03)

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Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

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