Test time limit need answer quickly!

Write the equation of this line in Point-Slope Form.

Leona [35]

Answer:

y -3 = (-1/2)(x - 5)

Step-by-step explanation:

Slope of line: Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1. Thus, the slope is m = -1/2.

Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:

y -3 = (-1/2)(x - 5)

5 0

3 years ago

Write an equation of a line perpendicular to<br> y = 2/7x - 5 through (2, -3)

AfilCa [17]

Hi there! :)

Answer:

$\huge\boxed{y = -7/2x + 4}$

Given equation:

y = 2/7x - 5

A perpendicular line will have a slope that is the opposite reciprocal, therefore:

2/7 --> -7/2

Substitute the x and y coordinates of the point given to write an equation in slope-intercept form:

(-3) = -7/2(2) + b

Simplify:

-3 = -7 + b

-3 + 7 = b

b = 4

Rewrite the equation:

y = -7/2x + 4

5 0

4 years ago

Aaron has $20. He buys 2 Cokes that each cost $1.50. He also buys a sandwich for $5.50 and a bag of chips that costs $2.25. Afte

klio [65]

Answer:

he has 10.75 left over :)

3 0

3 years ago

Read 2 more answers

A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the

jek_recluse [69]

Answer:

h = 1,743

Step-by-step explanation:

Volume of a box is

V(h) = ( A - 2h) * ( B - 2h)* h A = 7 B = 12

We have

V(h) = ( 7 - 2h) * ( 12 - 2h ) * h

V(h) = ( 84 - 14*h - 24*h + 4*h² ) * h

V(h) = ( 84 - 38*h + 4 *h² ) * h ⇒ V(h) = 84h - 38h² + 4h³

Taking derivatives both sides of the equation

V´(h) = 84 - 76h + 12x²

V´(h) = 0 84 - 76h + 12x² = 0 42 - 38h + 6x²

3x² - 19h + 24 = 0

Solving for h h1 = [ ( 19 + √(19)² - 288 ]/ 6 h1 = [ (19 + √73)/6]

h₁ = 4,59 we dismiss this value since 9,18 (4,59*2) > A

h₂ = [ 19 - √73)/6] h₂ = 1,743

h = 1.743 is h value to maximizes V

6 0

4 years ago

In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

Paladinen [302]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

5 0

3 years ago