Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?

Mathematics

1 answer:

Andrej [43]3 years ago

3 0

Answer:

y = − x + 4

Step-by-step explanation:

Use the slope formula and slope-intercept form y = m x + b to find the equation.

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What number are 1.3 units from 0.4 on a number line

spayn [35]

0.5 ,0.6 ,0.7 ,0.8 ,0.9 ,1,1 .1 ,1.2 ,1.3

3 0

3 years ago

Read 2 more answers

Use the definition of the derivative to differentiate v=4/2 pie r^3

nata0808 [166]

I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

$\displaystyle \frac{dV}{dr} = \lim_{h\to0} \frac{2\pi(r+h)^3-2\pi r^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)$

$\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}$

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

3 0

3 years ago

Serjik [45]

Answer:

Probability that a customer pays the bill by mail, given that the customer is female is 0.20.

Step-by-step explanation:

The complete question is:

Online By Mail Total

Male 12 8 20

Female 24 6 30

Total 36 14 50

A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.

Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)

$\frac{6}{50}$ P(Pays bill by mail/Customer is female) = $\frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}$