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3 years ago

What is the equation of the line that passes through the point (2, -4) and has a slope of 2

Mathematics

1 answer:

oee [108]3 years ago

6 0

Answer:

y = 2x - 8 OR 4 - 2x = -4 - y

Step-by-step explanation:

Use the point-slope form m(x₁-x₂) = (y₁-y₂); m means slope

plug in your numbers:

2(2-x₂) = (-4-y₂)

4 - 2x = -4 - y

or to put it into Y=mx + b:

y = 2x + 8

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago

Using the traditional formula, a 95% CI for p1 − p2 is to be constructed based on equal sample sizes from the two populations. F

inn [45]

Answer:

Step-by-step explanation:

Given:

Width = 0.4

Let's take the z value of 95% which is = 1.96

Let's assume population proportion p1 and p2 = 0.5

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i.e 2E = 0.4

E = 0.2

To find the sample size, n, let's use the formula :

$n= \frac{z^2*(p_1(1-p_1) + p_2(1-p_2))}{E^2}$

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3 years ago

The clutch linkage on a vehicle has an overall advantage of 24:1. If the pressure plate applies a force of 504lb,how much force

Anon25 [30]

Answer:

the force that must be applied by the driver to release the clutch is 21 lb

Step-by-step explanation:

Data provided:

clutch linkage on a vehicle has an overall advantage = 24:1

Applied force by the pressure plate = 504 lb

Now,

the advantage ratio is given as:

advantage ratio = $\frac{\textup{Force applied by the pressure plate}}{\textup{Force applied by the driver}}$

on substituting the respective values, we get

$\frac{\textup{24}}{\textup{1}}$ = $\frac{\textup{504 lb}}{\textup{Force applied by the driver}}$

Force applied by the driver to release the clutch = $\frac{\textup{504 lb}}{\textup24}}$

Force applied by the driver to release the clutch = 21 lb

Hence,

the force that must be applied by the driver to release the clutch is 21 lb

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3 years ago