Use the two points (4,92) and (1,82) from the scatterplot and the slope formula to find the slope of a linear model (regression line), rounded to three decimal places. Show your work. (5 points)

Using the slope and a point from question (a) to write the equation of the linear model in point-slope form? (5 points)

Simplify the equation you wrote in problem (b) into slope-intercept form. Show your work. (5 points)

Use The Two Points (4,92) And (1,82) From The Scatterplot And The Slope Formula To Find The Slope Of

Answers

Answer 1

Answer:

a) The slope is : 3.333

b) [tex](y-92)=3.333(x-4)[/tex]

c) [tex]y=3.333x+78.66[/tex]


Step-by-step explanation:

a) - The formula to calculate the slope is:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

- Use the given points to calculate the slope:

[tex]y_{2}=82\\y_{1}=92\\x_{2}=1\\x_{1}=4[/tex]

[tex]m=\frac{82-92}{1-4}\\m=\frac{10}{3}\\m=3.333[/tex]

b) - The equation of the linear model in point-slope form is:

[tex](y-y_{1})=m(x-x_{1})[/tex]

Where [tex]m[/tex] is the slope and [tex]x_{1},y_{1}[/tex] are the coordinates of a point.

- Substitute values:

[tex](y-92)=3.333(x-4)[/tex]

c) - The equation of the linear model in slope-intercept form is:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

- Let's find [tex]b[/tex]. Use one of the points given in the problem to solve for [tex]b[/tex]:

[tex]92=3.333(4)+b\\b=92-13.332\\b=78.66[/tex]

- Therefore, the equation is:

[tex]y=3.333x+78.66[/tex]


Related Questions

Volunteers were 3/4 finished with the walk-a-thon when they reached 4 1/2 kilometer mark how long was the walk-a-thon in kilometers

Answers

It would be 6 km because 4 1/2 divided by 3 = 1.5x4=6

The sculptures at Mount Rushmore each measure about 60 feet from chin to forehead. For the average person, this distance is 9 inches. The average distance between a person's ears is 6 inches. What is the ratio of a person's chin to forehead distance compared to the distance between his ears?

Answers

Answer:

Distance from chin to forehead is 1.5 times the distance between ears.

Step-by-step explanation:

We are told that distance from chin to forehead for the average person is 9 inches and distance between a person's ears is 6 inches. We are supposed to compare the ratio of a person's chin to forehead distance with respect to the distance between his ears.

We can present our given information as: [tex]\frac{9}{6}[/tex]

[tex]\frac{9}{6} =1.5[/tex]

Therefore, distance from chin to forehead is 1.5 times the distance between ears.

Answer:

the answer is 3/2 I just answered and got it right

Geoff has a bag that contains 4 red marbles and 6 blue marbles. He chooses two marbles at random and does not replace them. What is the probability that the first marble is blue and the second marble is red? A. B. C. D.

Answers

Total number of marbles = 10

Number of red marbles = 4

Number of blue marbles = 6

Probability = [tex]\frac{number of favorable outcomes}{total number of outcomes}[/tex]

The probability that the first marble is blue = [tex]\frac{6}{10}[/tex]

The probability that the first marble is red = [tex]\frac{4}{9}[/tex] ; 9 because 1 marble has already been taken out.

Joint probability= probability of event A * Probability of event B

= [tex]\frac{6}{10}\times\frac{4}{9}[/tex]=[tex]\frac{24}{90}= \frac{4}{15}[/tex]

60 feet per second is equal to how many kilometers per hour

Answers

65. 8 kilometers per hour is the correct anwser

Bryan paid $19.95 for 2.5 pounds of turkey.What was the price per pound

Answers

Final answer:

The price per pound of turkey is $7.98.

Explanation:

To find the price per pound, divide the total cost by the weight. In this case, Bryan paid $19.95 for 2.5 pounds of turkey. So, the price per pound is $19.95 divided by 2.5, which is $7.98 per pound.To calculate the price per pound of turkey that Bryan paid, we divide the total cost by the total weight. Bryan paid $19.95 for 2.5 pounds of turkey.

Divide the total cost by the total weight in pounds.

$19.95 ÷ 2.5 pounds = $7.98 per pound

Thus, the price per pound of turkey that Bryan paid is $7.98.

Avery’s piggy bank has 300 nickels, 450 pennies, and 150 dimes. She randomly picks three coins. Each time she picks a coin, she makes a note of it and puts it back into the piggy bank before picking the next coin.

The table of randomly generated coin selections simulates this scenario. Each letter represents the first letter of the associated coin.

NPP NDN NNP PDP NPP
PDN DPN NNN PDN NPP
PNN NPP NPP NND DNP
PNN NNP PPP PNP NNN
PPP DPP PPD PDD PDP
PDP PPP NPP DNP PNN
PDN NNN PPP DPN DPD
NND NPP PDP PNP DND
PPN DPN PNP NPN NDN
PPP DPP PPN NDP PPP


The estimated probability that exactly two of the three coins Avery randomly picked are nickels is .

The estimated probability that exactly one of the three coins Avery randomly picked is a dime is .

The estimated probability that all three coins Avery randomly picked are pennies is .

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is the estimated probability that exactly one of the three coins Avery randomly picked is a dime.

Answers

Answer:

(1) .20 (2) .40 (3) .12 (4) Less than

Step-by-step explanation:

You have to look at the table.  There are 5 columns with 10 rows.  5x10=50

Then simply count the boxes that have the correct number of currency for instance, if they are asking for EXACTLY 1 dime then you rule out the ones that have 2 or 3 dimes and only the count the ones that have a single dime.   So you count PDN but you would not count PDD.  There are 20 boxes that have a single dime in them.  20 out of the 50 boxes. 20/50=.40 (answer 2)

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is . 20

The estimated probability that exactly one of the three coins Avery randomly picked is a dime is . 40

The estimated probability that all three coins Avery randomly picked are pennies is . 12

The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%.  20% is less than 40% so...

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is  LESS THAN the estimated probability that exactly one of the three coins Avery randomly picked is a dime.

Answer:

The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%.  20% is less than 40% so...

Mateo reproducira una foto que mide 5 cm por lado a una escala de 3/4
cuanto medira el lado del cuadrado de la copia?
la medida de la copia sera mayor o menor que la original?

Answers

the question in English

Mateo will reproduce a photo measuring 5 cm per side on a scale of 3/4

How much will the square side of the copy measure?

Will the size of the copy be larger or smaller than the original?

we know that

the scale factor is equal to [tex]\frac{3}{4}[/tex]

Let

x----------> the original length side

y--------> the copy length side

[tex]y=\frac{3}{4}*x[/tex]

we have that

[tex]x=5\ cm[/tex]

substitute the values

[tex]y=\frac{3}{4}*5=3.75\ cm[/tex]

therefore

the answer Part a) is

the length side of the copy measure is [tex]3.75\ cm[/tex]

Part b)

we know that

the size of the original photo is------> [tex]5*5=25\ cm^{2}[/tex]

the size of the copy is------> [tex]3.75*3.75=14.06\ cm^{2}[/tex]

so

[tex]14.06\ cm^{2} < 25\ cm^{2}[/tex]

therefore

the answer part b) is

The size of the copy be smaller than the original



Which values of P and Q result in an equation with no solutions? Qx+P=33x+25

Answers

Answer:


Step-by-step explanation:


Given a population with mu = 64 and sigma = 25, if one draws samples of size l55, the sample means will have a distribution which is approximately normal with:

Answers

Final answer:

The sampling distribution of the sample mean will be approximately normally distributed with a mean of 64 and a standard error calculated by dividing the population standard deviation (25) by the square root of the sample size (155).

Explanation:

The student's question involves the concept of the sampling distribution of the sample mean. Given a population with a mean (μ) of 64 and a standard deviation (σ) of 25, and drawing samples of size 155, the sampling distribution of the sample mean will have a mean equal to the population mean, which is 64. The standard deviation of the sampling distribution (σx), known as the standard error, will be the population standard deviation (σ) divided by the square root of the sample size (n), thus σx = 25/ √155. As the sample size is large, according to the central limit theorem, this sampling distribution will be approximately normal.

Therefore, the sampling distribution of the sample mean will be approximately normally distributed with a mean (μx) of 64 and a standard error (σx) which can be calculated as mentioned above.

A spinner with two sectors labeled A and B is spun, and a number cube is rolled.

What is the sample space for the experiment?




{A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, B5, B6}

{A, B}

{A, B, 1, 2, 3, 4, 5, 6}

{1, 2, 3, 4, 5, 6}

Answers

Final answer:

The sample space for spinning a spinner with two sectors labeled A and B, and rolling a number cube, is {A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, B5, B6}.

Explanation:

The sample space for the experiment of spinning a spinner with two sectors labeled A and B, and rolling a number cube, can be determined by listing all the possible outcomes. The outcomes will be the combination of all possible results from spinning the spinner (A or B) and rolling the number cube (1, 2, 3, 4, 5, or 6). Therefore, the sample space is {A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, B5, B6}.

6-^3
------
6-^4


A) 6-7

B) 6-1
C) 61
D) 612

Answers

The answer should be 6 I.e 6^1 as with indices rules you need to subtract the powers (-3-(-4)) which equals 1

Answer:

[tex]6^1[/tex]

Step-by-step explanation:

[tex]Use\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{6^{-3}}{6^{-4}}=6^{-3-(-4)}=6^{-3+4}=6^1[/tex]

How many times do you have to multiply 4 to get to 56?

Answers

you have to multiply 4 fourteen times to get 56.

Tom paid $245.97 for a laptop. This was 3/5 of the original price. What was the original price?

Answers

Let us say original price of the laptop was x dollars.

Price paid by Tom for the laptop = $245.97

Now this price paid by tom was 3/5 of the original price.

So we can make an equation using this information as :

[tex]\frac{3}{5}x=245.97[/tex]

So here 3/5 is in multiplication on the left, so dividing it on the right side we have:

x=409.95

So the original price of the laptop was $409.95

Answer: The original price of the laptop was 409.95 dollars.

Answer:

$409.95

I hope this helps. Have a nice day :D

Use the probability distribution table to answer the question.

What is P(1

Answers

ANSWER


[tex]P(1<X<5)=0.51[/tex]



EXPLANATION.




The probability of selecting a number between 1 and 5 can be calculated by summing all probabilities between 1 and 5



[tex]P(1<X<5)=P(X=2)+P(X=3)+P(X=4)[/tex]



[tex]P(1<X<5)=0.07+0.22+0.22[/tex]



[tex]P(1<X<5)=0.51[/tex]






The number [tex]27^{-\frac{2}{3} }[/tex], can be written in the form [tex]\frac{1}{\sqrt[A]{27^{B} } }[/tex]. What is the value of B?

1. [tex]\frac{2}{3}[/tex]
2. 3
3. -2
4. 2

Answers

Answer:

  4.  2

Step-by-step explanation:

The value of B in the expression is the numerator of the fraction in the exponent: 2.

[tex]27^{-\frac{2}{3}}=\dfrac{1}{\sqrt[3]{27^2}}[/tex]

_____

= 1/9

a cone is a polyhedron.
A.)True
B.)False

Answers

The statement "a cone is a polyhedron" is false. The correction option is B.)False

What is a Polyhedron?

A polyhedron is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices.

Whereas, a cone is a three-dimensional geometric figure that has a flat surface and a curved surface, and is pointed towards the top.

From the above definitions, we can infer that a cone is not a polyhedron.

Hence, the statement "a cone is a polyhedron" is false. The correction option is B.)False

Learn more on Polyhedron here: https://brainly.com/question/3204708

#SPJ1

Answer: True

Step-by-step explanation:

Given right triangle ABC, what is the value of tan (A)?

Answers

12/5 is the answer because if you use the help of "SohCahToa" you find that 12 is the opposite side of angle A and 5 is the adjacent angle

What are numbers that are either whole numbers or negatives of whole numbers

Answers

These are called integer numbers.

We start with natural numbers (or whole numbers), i.e. the set

[tex] \mathbb{N} = \{0,1,2,3,4,\ldots\} [/tex]

When you add the opposite of each whole number, you have the set of integers:

[tex] \mathbb{Z} = \{0,\pm1,\pm2,\pm3,\ldots\} [/tex]

Answer:the not called whole numbers there called integers

Step-by-step explanation: whole numbers are 0 1 2 3 4 and so on integers are 0 -1 -2 -3 -4 and so on

What is the range of the function of y=4e^x

Answers

What does the graph of eˣ look like?  It has an asymptote at y = 0, passes through (0, 1) and goes to ∞.

y = 4eˣ has a vertical stretch by a factor of 4 compared to the parent graph so the range is the same as it's parent graph.

Range: y > 0     Interval Notation: (0, ∞)

Plz Answer ASAP!!! (20 Points)

Answers

Equation is x= 558 t2/496

x=4.5

I got the answer from another brainly user asking the same question. Someone else answered it. I just typed your question into the search bar and got it. Good luck <3

X=2y^3+3 find the inverse show all work

Answers

[tex]x=2y^3+3\\\\\text{change x to y and y to x}\\\\y=2x^3+3\\-----------------------\\\text{if you did it}\\\\2y^3+3=x\ \ \ \ |-3\\\\2y^3=x-3\ \ \ \ |:2\\\\y^3=\dfrac{x-3}{2}\to\boxed{y=\sqrt[3]{\dfrac{x-3}{2}}}[/tex]

Gina bought 2.3 pounds of red apples and 2.42 pounds of green apples. They were on sale for $0.75 a pound. How much did the apples cost together?

Answers

4. 72•0.75= $3.54 is the correct answer

Eight packages of strawberries cost $24. How many packages can you buy for $12

Answers

4 packages, because 24/12=2, 8/2=4 packages.

Identify the complete predicate in the sentence below.
"The settlers traveled west in covered wagons"
a. traveled west
b. settlers traveled
c. traveled west in covered wagons

Identify the simple subject and verb
"Soon, telegraph lines provided additional communication to the city."
a. lines provided
b. telegraph lines soon provided
c. lines provided communication

Answers

Solution 1:

In the given statement :

"The settlers traveled west in covered wagons"

The Predicate is traveled west in covered wagons.

So option c. traveled west in covered wagons is the correct choice.

Solution 2:

In the given sentence:

"Soon, telegraph lines provided additional communication to the city."

The simple subject and verb are given by lines provided.

Answer : Option a: lines provided.

One wintry week a ski town got 5 1/3 inches of snow. On monday the town got 2 3/4 inches; on tuesday it got 1 1/2 times as much; and on wednesday it got 7/8 inch. How much snow did the town get the rest of the week?

Answers

Answer: The amount of snow the town get the rest of the week is given by

[tex]\frac{5}{24}[/tex]

Step-by-step explanation:

[tex]\text{ Total inches of snow town got in a week }=5\frac{1}{3}=\frac{16}{3}[/tex]

[tex]\text{ Amount of snow it is receiving on Monday}=2\frac{3}{4}=\frac{11}{4}\text{ inches }[/tex]

[tex]\text{Amount of snow it is receiving on Tuesday}=1\frac{1}{2}=\frac{3}{2}\text{ inches }[/tex]

[tex]\text{Amount of snow it is receiving on Wednesday}=\frac{7}{8}\text{ inches }[/tex]

[tex]\text{Amount it is receiving in remaining week is given by}[/tex]

[tex]\frac{16}{3}-(\frac{11}{4}+\frac{3}{2}+\frac{7}{8})\\\\=\frac{16}{3}-\frac{22+12+7}{8}\\\\=\frac{16}{3}-\frac{41}{8}\\\\=\frac{128-125}{8}\\\\=\frac{5}{24}\text{ inches }[/tex]

So, the amount of snow the town get the rest of the week is given by

[tex]\frac{5}{24}\text{ inches }[/tex]

Vincent ran 24 laps on monday. This is 63 2/3 of the maximum number of laps he has run in one day. What is the maximum number of laps vincent has run in one day?

Answers

63.66%x=24

x=240000/6366

=40000/1061

To keep up with rising cost a carpenter needs to increase his $30.00 per hour rate by 18% what will be his hour rate ?

Answers

Answer:

In order to keep up with rising cost carpenter needs to increase his $30.00 per hour rate to 35.40 $.

Explanation:

 To keep up with rising cost a carpenter needs to increase his $30.00 per hour rate by 18%.

So hour rate of carpenter = 30.00 $

Rate of increase = 18 % = 0.18

New hour rate = Initial hour rate + Rate of increase x Initial hour rate

                         = 30 + 0.18 x 30 = 30 + 5.4 = 35.40 $

So in order to keep up with rising cost carpenter needs to increase his $30.00 per hour rate to 35.40 $.

The carpenter's new hourly rate after an 18% increase on his current rate of $30.00 will be $35.40 per hour.

To calculate the new hourly rate with an 18% increase, first find 18% of the carpenter's current $30.00 per hour rate. The formula for calculating the percentage increase is:

Percentage increase in wage = (Current hourly rate) x (Percentage increase) / 100

In this case, the calculation would be: $30.00 x 18% / 100 = $5.40.

Next, add this increase to the current rate to find the new rate:

New hourly rate = Current hourly rate + Increase in wage

Applying the values:

New hourly rate = $30.00 + $5.40 = $35.40 per hour.

So, the carpenter needs to charge $35.40 per hour to achieve an 18% increase in his rate.

What is 99,102 rounded to the nearest hundred thousand

Answers

The answer to this question is 100,000 exactly.

what is (5y+6)-(10y+3)

Answers


[tex]5y + 6 - 10y - 3 \\ - 5x + 3[/tex]

(5y   +   6 )    -    (10y    +  3 )

Let's simplify step-by-step.

5y    +     6      −(10y    +    3)

Distribute the Negative Sign:

=        5y     +     6    +    −1(10y     +    3)

=        5y     +     6    +    −1(10y)     +     (−1)(3)

=        5y     +    6    +    −10y     +      −3

Combine Like Terms:

=       5y     +     6    +     −10y       +      −3

=      (5y     +     −10y)      +      (6     +      −3)

=       −5y     +      3

Answer:       =      −5y   +    3




Hope that helps!!!!!                                : )


Determine the constant of variation for the direct variation given. The number of fat calories varies directly with the grams of fat. There are 27 calories for each 3 grams of fat.
1/3
1/9
3
9

Answers

The Correct answer would be )9

27

----     = k                 K- Constant Variation

3


Hope This Helps

-Dante

9 is correct

27/3 = 9

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