What is the mixed number to 53/12

Calculate the equation of the line if two points are (1,6) and (5,0) Hint, you will have to find the slope of the line and then

motikmotik

Answer:

The equation is $y=\frac{-3}{2} x-9$

Step-by-step explanation:

First, you will have to find the slope of the two points.To do that, you will have to use the formula : $m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Our points are $(1,6)$ and $(5,0)$

We will have to substitute the points into the formula.

$m=\frac{0-6}{5-1}$

Then, we will simplify

$m= \frac{-6}{4}$

We could simplify that fraction into $\frac{-3}{2}$

So, our slope is $\frac{-3}{2}$

We will have to pick a coordinate point, and choose. I chose $(1,6)$

We will substitute the x-value and the y-value of the coordinate point, including our slope, to calculate the y-intercept.

The formula we will be using is $y=mx+b$

We will substitute in our values which will make it look like:

$6=\frac{-3}{2} (1)+b$

We will then multiply $\frac{-3}{2}$ by $1$ which will stay the same.

Then, we will multiply $\frac{-3}{2}$ by $6$ which will equal $-9$

$-9=b$

Hence, the equation for our line is $y=\frac{-3}{2} x-9$

Hope it helped:D

5 0

2 years ago

Which statements about the hyperbola are true? Check all that apply.

mariarad [96]

Answer:

True options: 1, 2 and 5

Step-by-step explanation:

From the given diagram, you can see that the center of the hyperbola is placed at the origin, so first option is true (see attached diagram for definition of center, vertices, foci, i.e.)

There are two vertices of the hyperbola, they are placed at (-6,0) and (6,0), so second option is true.

The transverse axis is the segment connecting vertices, this segment is horizontal, so option 3 is false.

The foci are not placed within the rectangular reference box, so this option is false.

The directrices are vertical lines with equations $x=\pm \dfrac{a}{e}$ , so this option is true.

8 0

2 years ago

Read 2 more answers

The average price for a gallon of gasoline in the United States is and in Russia it is . Assume these averages are the populatio

noname [10]

This question is incomplete

Complete Question

The average price for a gallon of gasoline in the United States is $3.73 and in Russia it is $3.40 (Bloomberg Businessweek, March 5–March 11, 2012). Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia.

a. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?(to 4 decimals)

Answer:

0.1788

Step-by-step explanation:

We solve this question using z score formula.

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

a. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?(to 4 decimals)

For the United States

x is the raw score = $3.50

μ is the population mean = Average price for a gallon of gasoline in the United States is $3.73

σ is the population standard deviation = standard deviation of $.25 in the United States = $0.25

z score = $3.50 - $3.73/$0.25

=-0.92

Determining the Probability value from Z-Table:

P(x ≤ 3.50) = P(x < 3.5) = P(z = -0.92)

= 0.17879

Approximately to 4 decimal places = 0.1788

Therefore, the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon is 0.1788

5 0

2 years ago

Kelvin and Lewie each design surveys in order to determine the average number of people who buy food at the mall. Kelvin surveys

Lisa [10]

Answer:

Lewie Survey produces less valid result.

Step-by-step explanation:

Given:

1. Kelvin surveys every other person leaving the food area.

2. Lewie surveys every fifth person leaving the mall's main entrance.

Therefore,

Kelvin will able to produce valid result as he is surveying every person who is leaving food court.

Means,

There are high chances that would have bought food from the court.

Whereas,

Lewie is surveying every fifth person leaving the the mall's entrance.

Therefore,

Here probability to produce valid result is less as they may have not buy food or they may visited other shops.

So, Lewie survey will produce less valid result.

8 0

1 year ago

Read 2 more answers

Fred buys a video game disk for $4 there was a discount of 20% what is the sales price please show work

polet [3.4K]

multiply the price by the discount then subtract the answer from the price

4 * 0.20 = 0.80

4-0.80 = 3.20

sale price is $3.20

8 0

2 years ago