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2 years ago

A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q.

Mathematics

1 answer:

Annette [7]2 years ago

3 0

The point Q on a line segment with end points(2,1) and (4,2) is Q(12/5, -2/5)

<h3>What is a line segment?</h3>

A line segment is a straight line that passes through two given points.

The end points of the line determine how long or short a given line segment would be.

Analysis:

point Q(x, y )

x = $\frac{MX1 + NX2}{M+N}$

y = $\frac{MY1 + MY2}{M+N}$

where M :N = 4:1

x1 = 2, x2 = 4, y1 = -1, y2 = 2

x = $\frac{4(2) +1(4)}{4+1}$ = 12/5

y = $\frac{4(-1) + 1(2)}{4+1}$ = -2/5

In conclusion, the point Q is (12/5, -2/5).

Learn more about line segment: brainly.com/question/2437195

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3 years ago

Suppose the FAA weighed a random sample of 20 airline passengers during the summer and found their weights to have a sample mean

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Answer:

Step-by-step explanation:

Given Parameters

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Df = n - 1 = 20 - 1 = 19

Critical Value, $t_\alpha$ , is given by

$t_{c}=t_{\alpha, df} = t_{0.05,19} = 1.729$

a).

Confidence Interval, $\mu$ , is given by the formula

$\mu = x +/- t_c \times \frac{s}{\sqrt{n} }$

$\mu = 180 +/- 1.729 \times \frac{30}{\sqrt{20} }$

$\mu = 180 +/-11.5985$

$191.5985 > \mu > 168.4015$

b).

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$t_{c}=t_{\alpha/2, df} = t_{0.05/2,19} = 2.093$

Confidence Interval, $\mu$ , is given by

$\mu = x +/- t_c \times \frac{s}{\sqrt{n} }$

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3 years ago

What's the answer to this? Or how do I figure it out?

trapecia [35]

B.) 14/43
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= 14
Bottam:
14 + 8 +6 + 9 +6
= 43
Lastly
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3 years ago

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4 years ago

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3 years ago