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2 years ago

What is the slope-intercept equation for this line?

Mathematics

2 answers:

GarryVolchara [31]2 years ago

7 0

Solution:

Step-1: Find the slope of the line.

Formula: Rise/Run = y₂ - y₁/x₂ - x₁

y₂ - y₁/x₂ - x₁ = Slope
=> -2 - (-1)/4 - 0 = Slope
=> -2 + 1/4 - 0 = Slope
=> -1/4 = Slope

Step-2: Find the y-intercept of the line.

The y-intercept of the line is the point that intersects the y-axis.

=> y-intercept = -1

Step-3: Create the equation.

=> y = (m)x + (b)
=> $y = -\frac{1}{4} x - 1$

Marina CMI [18]2 years ago

5 0

Y=1/4x - 1 since the y intercept is at -1

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The number of pieces of mail that a department receives each day can be modeled by a distribution having mean 44 and standard de

saveliy_v [14]

Answer:

Step-by-step explanation:

Assuming a normal distribution for the number of pieces of mail that a department receives each day, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = number of pieces of mail

u = mean

s = standard deviation

From the information given,

u = 44

s = 8

We want to find

P(x lesser than or 40) or P(x greater than 48)

For P(x lesser than or 40)

For x = 40,

z = (40 - 44)/8 = - 4/8 = - 0.5

Looking at the normal distribution table, the corresponding value of the z score is 0.30854

P(x greater than 48) = 1 - P(lesser than or or equal 48)

For x = 48,

z = (48 - 44)/8 = 4/8 = 0.5

Looking at the normal distribution table, the corresponding value of the z score is 0.69146

P(x greater than 48) = 1 - 0.69146 = 0.30854

The probability that the sample mean will be less than 40 or greater than 48 using is

0.30854 + 0.30854 = 0.69146

7 0

3 years ago

Help ASAP!!

Aleksandr [31]

Circumference of a circle - derivation

This page describes how to derive the formula for the circumference of a circle.

Recall that the definition of pi (π) is the circumference c of any circle divided by its diameter d. Put as an equation, pi is defined as

π

=

c

d

Rearranging this to solve for c we get

c

=

π

d

The diameter of a circle is twice its radius, so substituting 2r for d

c

=

2

π

r

If you know the area

Recall that the area of a circle is given by

area

=

π

r

2

Solving this for r

r

2

=

a

π

So

r

=

√

a

π

The circumference c of a circle is

c

=

2

π

r

5 0

2 years ago

Read 2 more answers

HELP ASAP TEST IS OMOST OVER!!!!!!!!!!

svet-max [94.6K]

Answer: C)46 ft

Step-by-step explanation:

We know that the circumference of a circle can be calculated with this formula:

$C=2\pi r$

Where "r" is the radius of the circle.

Since John is putting a fence around his garden that is shaped like a half circle and a rectangle, then we can find how much fencing he needs by making this addition:

$Fencing=\frac{2\pi r}{2}+2l+w$