Please help! Explain how to find the slope and y-intercept by just looking at the equation y=1/3x-2. Then graph the equation and verify your answers.

The 95% confidence interval for the population mean adjusted distribution volume, using the t-distribution, is given as follows:

(43.479, 61.281).

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the rule presented as follows:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are listed as follows:

The sample is given as follows:

22, 40, 41, 42, 43, 48, 51, 58, 62, 66, 67, 70, 71.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 13 - 1 = 12 df, is t = 2.1788.

Using a calculator with the sample, the parameters for the interval are:

[tex]\overline{x} = 52.38, s = 14.73, n = 13[/tex]

Hence the lower bound of the interval is calculated as follows:

52.38 - 2.1788 x 14.73/sqrt(13) = 43.479.

The upper bound of the interval is calculated as follows:

52.38 + 2.1788 x 14.73/sqrt(13) = 61.281.

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The prediction of the wind chill for the wind speed 4 mi/h is 14 degrees

Here, we have the following parameters:

Equation of the trend line: y = 0.36x + 12.6

Where

x = Wind speed

y = Wind chill

Also, we have

x = 4 mi/h i.e. the wind speed

Substitute x = 4  in the equation y = 0.36x + 12.6

So, we have

y = 0.36 x 4 + 12.6

Evaluate the equation

y = 14.04

Approximate

y = 14

Hence, the wind chill  is 14 degrees

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16 boxed lunch cost $187.2.

Given that a company orders 20 boxed lunches from a deli for $234.00.

Each boxed lunch costs the same amount.

20 boxed lunches from a deli for $234

1 boxed lunches from a deli for $234/20 = $11.7

Hence the cost of 16 boxed lunch is = $11.7*16 = $187.2

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Answer: x = -2, y = 3

Step-by-step explanation:

Given that,

-9x+2y = 24..................................(i)

x = 10-4y.......................................(ii)

From equation (i)

-9(10-4y) + 2y = 24  [as x = 10-4y]

=> -90 +36y + 2y = 24

=> 38y = 90 + 24

=> 38y = 114

=> y = 114/38

Therefore, y = 3

Again,

x = 10 - 4(3)  [as y = 3]

=> x = 10-12

Therefore, x = -2

Here, x = -2 and y = 3

The number of ways to select the banners is given as follows:

a. Matching with the country: 362,880, using the arrangements formula.

b. Not matching with the country: 60,949,324,800, using the permutation formula.

The number of possible arrangements of n elements is obtained by the factorial of n, that is:

[tex]A_n = n![/tex]

For item a, the arrangements formula is used, as the banner has to match the country, hence only the countries are arranged and then the specific banner is matched with this country.

Considering that there are nine countries, the number of ways of selecting and matching nine banners with a country is calculated as follows:

Total = 9! = 362,880.

The number of possible permutations of x elements from a set of n elements is obtained by the equation as follows:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

For item b, 9 banners are taken from a set of 20, and the permutation formula is used as the order in which the banners are chosen is important, hence the number of ways of selecting nine banners without having to match them with a country is obtained as follows:

N = 20!/(20 - 9)! = 20!/11! = 60,949,324,800.

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Peanut brittle costs $0.33 more per ounce than the almond bark option (C) is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A candy company sells peanut brittle and almond bark.

Almond: $6/(10 oz) = $0.60/oz

Bark: $9/(10 oz) = $0.90/oz

0.90 - 0.60 = $0.90

Peanut brittle costs $0.33 more per ounce than almond bark.

Thus, peanut brittle costs $0.33 more per ounce than the almond bark option (C) is correct.

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Answer:

Almond bark costs $0.50 more per ounce than peanut brittle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

so they are just asking for some numbers multiplied together to get 0.24

any two , as long as one is great than 1  soo  , try 2

2 * ? = 0.24

I suspect you can see the answer now?

The economy's nominal GDP in 2006 and real GDP in 2010 is option B)  Nominal GDP in 2006 $1,000, Real GDP in 2010 = $2,000.

What does GDP Price Index mean?

Nominal GDP in 2006=$1,000;

Real GDP in 2010=$2,000

Price index = (nominal GDP/real GDP) ×100

thus, nominal GDP in 2006=(price index × real GDP)/100

= (100×$1,000)/100

=$1,000

Real GDP in 2010= (nominal GDP/price index) ×100

= ($2,200/110) ×100

=$2,000.

Hence, the economy's nominal GDP in 2006 and real GDP in 2010 is option B)  Nominal GDP in 2006 $1,000, Real GDP in 2010 = $2,000.

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Answer: gavin scored 465 points

Step-by-step explanation:

Answer:

Slope = -5/2

Y-intercept = -9

Step-by-step explanation:

Hello!

The equation is given in Slope-Intercept Form: y= mx + b

Since the slope is the coefficient of the x-term, the slope of this equation is -5/2, or -2.5

The y-intercept is the numerical constant, which is given the by the integer -9.

Answer:

it would be $3.02

Step-by-step explanation:

you pretty much do $6.04/2 Ib

therefore, your answer would be $3.02

Answer:

Step-by-step explanation:

6.04 divded by 2= 3.02 per pound

Answer:

Annie's new job pays more an hour.

Step-by-step explanation:

They tell us that her new job pays $7.25 per hour. So to determine which job pays her more, we need to find how much she earns in her current job.

There are a few ways to find this (none of them are hard.) But this is the easiest way in my opinion.

The chart tells you that Annie earns $13 in 2 hours. We need to find how much she earns in 1 hour. All you need to do is divide $13 by two.

13/2 = 6.5

6.5 = $6.50

If her current job pays her $6.50 an hour and her new job pays $7.25 an hour, she should consider higher paying jobs.

But, yes, the new job pays her more an hour.

The equation of the horizontal line passing through the point (2, -6) is :

y = -6

and the equation of the vertical line passing through the point (2, -6):

x = 2

We need to write equations for the horizontal and vertical lines passing through the point (2, -6)

For a vertical line the value of x will never change. This will be true for any value of y.

So, the equation for a vertical line passing through this point is:

x = 2

Similarly, for a horizontal line the value of y will never change. This is true for any value of x.

So, the equation for a horizontal line passing through this point is:

y = -6

Therefore, the equation of the horizontal line passing through the point (2, -6) is y = -6

and the equation of the vertical line passing through the point (2, -6) is x = 2

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The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

When two or more parameters are directly or indirectly proportional to one another, their relationship is expressed as a = kb or a = k/b, where k indicates the nature of the relationship between the two variables. This k is referred to as the proportionality constant.

For example, the number of apples in a crop is proportional to the number of trees in an orchard, with the ratio of proportionality being the average number of apples per tree.

This can be illustrated as:

Let's say y = 4

Let's say x = 2

y = kx

4 = 2k

Divide

k = 4/2

k = 2

The constant is 2.

Note that an overview was given as the information is incomplete.

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Answer: Freddy

Step-by-step explanation:

Choose a common denominator for all the fractions.  Let's use 140.  

Christian:  3/7 = 60/140

Freddy:  3/10 = 42/140

Skyler:  3/4 = 105/140

The least value is 42/140

Answer:

225

Step-by-step explanation:

a1 = 1

a15 = 29

sum = n/2 ( a1 + a15) =  (15/2) ( 1 + 29) = 225

No,  the slope of a horizontal line y=6 is,  zero not negative.

What is a Slope?

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.

The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = change in y/change in x = Δy/Δx

Where “m” is the slope of a line.

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter ‘m’.

Slope Formula

If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:

Slope, m = Change in y-coordinates/Change in x-coordinates = Δy/Δx

m = (y2 – y1)/(x2 – x1)

In the given equation of line y=6 .

The line crosses the y-axis at 6, as the line is always at that value. As it is a horizontal line, the slope is zero.

The equation y = 6 means for each and every value of x, y will be equal to 6.

This is the definition of a horizontal line.

By definition, the slope of a horizontal line is m = 0

When x = 0 then y = 6

Therefore, the y-intercept is: (0, 6).

Hence , the the slope of a horizontal line , m = 0.

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By using the graphing method, a solution to the given system of equations is equal to -6 and -6.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Next, we would simplify the equation as follows:

4u = 2v - 12

Dividing both sides of the equation by 4, we have:

4u/4 = (2v - 12)/4

u = v/2 - 3

By critically observing the graph of this system of equations, we can logically deduce that the point of intersection is at (-6, -6).

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350mL will be administered in a week.

x = - 8 is not a root of √(x + 12) - 6 = x, since it is an extraneous solution.

In this question we have a radical equation that offer two possible roots. A root is an extraneous solutions when it brings out an absurd (i.e. 1 = 4) when the expression is evaluated. First, write the radical equation:

√(x + 12) - 6 = x

Second, use algebra properties to find the possible roots of the radical equation:

√(x + 12) - 6 = x

√(x + 12) = x + 6

x + 12 = x² + 12 · x + 36

x² + 11 · x + 24 = 0

(x + 3) · (x + 8) = 0

x = - 3 or x = - 8

Third, evaluate the radical equation at each root:

√(- 3 + 12) - 6 = - 3

√9 - 6 = - 3

3 - 6 = - 3

- 3 = - 3 (TRUE)

√(- 8 + 12) - 6 = - 8

√4 - 6 = - 8

2 - 6 = - 8

- 4 = - 8 (FALSE)

x = - 8 is an extraneous solution.

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The percentage increase for the money the class has raised is 10% and they will need $ 2115 to make the percentage increase to 99%.

According to the question,

We have the following information:

Initial price in the year = $1500

Final price they have = $1650

a) Now, we know that following formula is used to find the percentage increase in the price:

Percentage increase = 100*(final price-initial price)/initial price

Percentage increase = 100*(1650-1500)/1500

Percentage increase = 100*(150)/1500

Percentage increase = 10%

b) Now, we will find the final price when the percentage increase is 99%.

Let's take the final price to be $x.

99 = 100*(x-1500)/1500

99 = (x-1500)/15

Using the cross multiplication method:

x-1500 = 15*99

x-1500 = 615

x = 615+1500

x = 2115

Hence, the percentage increase for the money the class has raised is 10% and they will need $ 2115 to make the percentage increase to 99%.

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The greatest number of identical goodie bags Carlos can make is 24.

Therefore will be 3 granola bars and 2 popcorn balls in each bag.

From the information, Carlos is making goodie bags for a party and every goodie bag has exactly the same treats in it.

Carlos has 72 granola bars and 48 small popcorn balls. It should be noted that the greatest common factor between 72 and 48 is 24.

Therefore, granola bars will be:

= 72/24

= 3 in each bag

Popcorn will be:

= 48/24

= 2 in each bag.

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Answer:

She will pay the same amount at both

Step-by-step explanation:

For Life Studio,

the initial sign up fee + $30 each month

= $30 = 30 × 6 = $180

Hence, $60 + $180 = $240

For Yoga Mind,

$40 each month for 6 months

= $40 × 6

$40 × 6= $240

Therefore, she will pay the same amount at both

Using the trigonometry relation, the value of sin2x=4√2/9, cos2x=7/9 and tan2x=4√2/7.

In the given question, we have to find the value of sin(2x), cos(2x) and tan(2x).

The given value of six=1/3, x in quadrant first.

We firstly finding the value of cosx.

cosx = √1-(sinx)^2

Now putting the value of sinx

cosx = √1-(1/3)^2

cosx = √1 -1/9

cosx = √(9-1)/9

cosx = √8/9

cosx = 2√2/3

We know that;

sin2x=2sinxcosx

sin2x=2* 1/3 * 2√2/3

sin2x=4√2/9

Now finding the value of cos2x

We know that;

cos2x=1-2(sinx)^2

cos2x=1-2(1/3)^2

cos2x=1 -2/9

cos2x=(9-2)/9

cos2x=7/9

Now finding the value of tan2x

As we know that

tan2x=sin2x/cos2x

tan2x=(4√2/9)/(7/9)

tan2x=4√2/7

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point a and point e are the two points representing extreme points on graph

Answer:

the answer is 135

Step-by-step explanation:

If Robert bought a used car for $10,332 with an added sales tax of 2.5%. Then the original price of the car would be around $10,080.

Option (B) is correct.

What is a percentage?

A percentage is a relative value that represents the hundredth part of any quantity. One percent (symbolized 1%) is the one-hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given amount.

Robert bought a used car for $10,332 with an added sales tax of 2.5%.

so the additional amount would be = 10,332 * 2.5%

                                                           = 10332 * 0.025

                                                           = $258.3

So the original price of the car would be = 10332 - 258.3

                                                                    ≈ $10,080.

Hence, If Robert bought a used car for $10,332 with an added sales tax of 2.5%. Then the original price of the car would be around $10,080.

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Answer:

2⁵ that is my answer for the question

Answer: 2^5

Step-by-step explanation:

3^3 = 27

1^10 = 1

2^5 = 32

5^2 = 25

Using theoretical probability, the probability of selecting green ball is 3/11, not selecting green ball is 8/11, selecting orange ball is 6/11 and not selecting orange ball is 5/11.

In the given question,

A bag has 2 red, 3 green, and 6 orange balls.

So total number of balls = 2+3+6 = 11

We have to find the theoretical probability.

(a) We have to find the theoretical probability of selecting green ball.

P(G) = Total number of green balls/Total number of balls

P(G) = 3/11

Hence, the probability of selecting green ball is 3/11.

(b) Now we have to find the theoretical probability of not selecting green ball.

Except green ball there is having red and orange i.e.

Total remaining balls except green = 2+6 = 8

P(G) = Total number of balls except green balls/Total number of balls

P(G) = 8/11

Hence, the probability of not selecting green ball is 8/11.

(c) Now we have to find the theoretical probability of selecting orange ball.

P(G) = Total number of orange balls/Total number of balls

P(G) = 6/11

Hence, the probability of selecting green ball is 6/11.

(d) Now we have to find the theoretical probability of not selecting orange ball.

Except orange ball there is having red and green balls i.e.

Total remaining balls except orange = 2+3 = 5

P(G) = Total number of balls except orange balls/Total number of balls

P(G) = 5/11

Hence, the probability of not selecting orange ball is 5/11.

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