You are given a various set of values: xbar = 12 ybar = 16 r = .46 Sy = 18 Sx = 6 Find a and b, then write them as an equation for a line. b = a = yhat =

Answers

Answer 1

Answer:

Slope, b = 1.38 ; intercept, a = - 0.56 ;

Y = - 0.56 + 1.38x

Step-by-step explanation:

Given that :

xbar = 12

ybar = 16

r = .46

Sy = 18

Sx = 6

The equation of a line can be expressed as :

Y = a + bx

Where ;

a = intercept ; b = slope ; x = independent variable ; y = dependent variable

The slope b ; can be obtained using the relation :

b = r(Sy / Sx)

= 0.46(18/6)

= 0.46(3)

= 1.38

The intercept a, can be obtained using the relation :

Ybar - b(Xbar)

16 - 1.38(12)

16 - 16.56

a = - 0.56

Hence ;

Slope, b = 1.38 ; intercept, a = - 0.56

Th equation of the line will be :

Y = - 0.56 + 1.38x


Related Questions

In a survey of 2,200 people who owned a certain type of​ car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?
*blank*% of the people surveyed were satisfied with the car.

Answers

Answer:

40%

Step-by-step explanation:

Given parameters:

Number of people surveyed  = 2200

Number of people who said they would buy the car again  = 880

Unknown:

The percentage of people satisfied with the car  = ?

Solution:

The percentage of people satisfied with the car purchase can be determined using the expression below:

Percentage of people satisfied  = [tex]\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100[/tex]

Percentage of people satisfied  = [tex]\frac{880}{2200}[/tex]  x 100  = 40%

What is the slope ? M=

Answers

Answer:

-3/2

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

Using the points (-4,11) and ( 0,5)

m = ( 11-5)/( -4-0)

  = 6/-4

  = -3/2

Heather sells cosmetics for a local company. During her first month of employment her sales were $60. During her second month her sales were $300. What was Heather’s percent of increase in sales? (Remember to move your decimal two places or multiply by 100 to make a decimal a percent!)

Answers

Answer:

80%

Step-by-step explanation:

300/3=100

60/3=20

100-20=80

When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by C(t) = 0.08t − 0.0004t2, where 0 ≤ t ≤ 240 and the concentration is measured in mg/L.

Answers

Answer:

4mg/L

Step-by-step explanation:

Here is the complete question;

When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by

C(t) = 0.08t − 0.0004t2,  where  0 ≤ t ≤ 240 and the concentration is measured in mg/L.  When is the maximum serum concentration reached?

Given the concentration of the drug in the patient's bloodstream after t minutes modeled by the equation;

C(t) = 0.08t − 0.0004t^2

The maximum serum concentration is reached at when d(C(t))/dt = 0

d(C(t))/dt = 0.08-2(0.0004)t

d(C(t))/dt = 0.08-0.0008t

since d(C(t))/dt = 0

0 =  0.08-0.0008t

get the value of t

-0.08 = -0.0008t

t = 0.08/0.0008

t = 100secs

Get the maximum serum concentration reached by substituting t = 100s into the equation as shown;

C(t) = 0.08t − 0.0004t^2

C(100) = 0.08(100) − 0.0004(100)^2

C(t) = 8-0.0004(10000)

C(t) = 8-4

C(t) = 4mg/L

Hence the maximum serum concentration reached is 4mg/L

due soon will give brainalist no fake answers!!

Answers

Answer:

90gr strawberry jelly

6 sponge fingers

315ml custard

135gr tinned fruit

Step-by-step explanation:

120/4 = 30 * 3 = 90

8/4 = 2 * 3 = 6

420/4 = 105 * 3 = 315

180/4 = 45 * 3 = 135

Find the product: a) (5 – 2h) (3 + h) b)4p ^2 q ^2 (p ^2 – q ^2)

Answers

Answer:

A.) -8h

Step-by-step explanation:

a.) . (5 – 2h) (3 + h)  

a.) (5 – 2h) (3 + h)  

(5+3) (h-2h)

8(-h)

-8h

What is the binary number for 17​

Answers

Answer:

♡ hi there! madeline here. ♡

- your answer is 10001

also, since I answered first, can I get the brainliest?

thank you, have a great day sandra!

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:

Plssss help 30 point!!!
A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.

Answers

Answer:

A) 2

B)109

c) 4

d)71

I'm a hundred percent sure

Step-by-step explanation:

Draw the Venn diagram

Cj has $50 more than Jordan has. Together they have $100. How much does Jordan have?

Answers

Answer:

25

Step-by-step explanation:

take C as what Cj has, and J what Jordan has.

Cj has $50 more than Jordan has, so:

C = 50 + J

Together they have $100, so:

C + J = 100

is a system of 2 equations with 2 unknown (C and J):

C - J = 50

C + J = 100

Adding both equations:

2C = 150 ⇒ C = 75

From second equation: J = 25

How do you find the slope of the table below

Answers

It’s rise over run, or (Y2-Y1)/(X2-X1)

Pick any two sets and plug in.

(24-16)/(21-14) = 8/7

what is (10 - 3 x 2) to the power of 2?
Please help!

Answers

Answer:

The answer is 16

Step-by-step explanation:

Multiply  -3 by 2

(10-6)^2      ^2=power

subtract 6 from 10

4^2

Raise 4 to the power of 2

 16

.

Answer:

16

Step-by-step explanation:

= (10 - 3 x 2) ^ 2

= (10 - 6) ^ 2

= 4 ^ 2

= 16

HOPE THIS HELPS

PLZ MARK BRAINLIEST


Tim made a tuna sandwich using bread
that measured 9 cm by 12 cm. He cut the
sandwich in half along a diagonal. What
is the length of the diagonal cut that he
made?

Answers

Answer:

Step-by-step explanation:

I looked this up on google. There is an answer key if u look up this exact question the 1st link is the answer key!

Write two division equations for each multiplication equation.

1. 15 ⋅ 2/5 = 6

2. 6 ⋅ 4/3 = 8

3. 16 ⋅ 7/8 = 14

Answers

1. 2/5 = 6/15
2. 4/3 = 8/6
3. 7/8 = 14/16

Esmeralda works in the snack bar at the movie theater. She serves popcorn in two sizes, small and giant. The dimensions of the small box of popcorn are similar to the dimensions of the giant box of popcorn.





What is x when the width of the small box is 4 inches? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

6.7

can someone help with these two problems?​

Answers

Answer:

a and b

Step-by-step explanation:

just trust =) ive done this before

Answer: The first one i think is C and the second one is B

Given the expression below, write an equivalent expression that does not contain parentheses.​

Answers

Answer:

-2x - 12 - 2

Step-by-step explanation:

Apply the distributed property: -2x - 12 - 2

I hope this helps!

Your comment will be deleted along with your account BlueDragon123r5 You are working on finding x in the diagram above. You come up with the equation: 9y + 7 = 2y + 98. Your friend who has just started Algebra is blown away and doesn't understand how you came up with the equation. Explain to your friend how you found the equation and how to solve it.

Answers

Answer

I know how to solve it just don't know how to explain how you came up with the equation

Step-by-step explanation:

To solve 9y+7=2y+98   you add 9y+2y and you get 11y  and then you add 7+98 and get 105 then you put 11y=105 divide both ides by 11  y= 9.54

two shapes that represent the cross-sections

Answers

Answer:

it's the square and the rectangle

Drag the tiles to match each equation to its number of solutions. Each tile may be used only once.

Answers

Answer:

Hello! Brainly is used for help on homework not for joking around. Next time you ask a question please make sure to add something your confused with you will most likely get help!

                                                                                 BrainlyMiddleSchool

Answer:

1- one solution  2- many solutions 3- no solution

Step-by-step explanation:

Mandy divided a 5-pound bag of oranges into 12 equal piles. Which rational number represents the weight of the oranges in each pile? 1/5 5/12 2 1/6 2 2/5

Answers

Answer:

5/12

Step-by-step explanation:

Total pound of oranges = 5

Number of piles = 12

Weight of the oranges in each pile = Total pound of oranges / Number of piles

= 5 / 12

The rational number which represents the weight of the oranges in each pile is 5/12

2m² +2m- 24=0
Alguien me podría ayudar a decirme gracias .

Answers

Answer:

Required Answer:-

[tex]{:}\longrightarrow[/tex][tex]\sf 2m^2+2m-24=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2m^2-6m+4m-24=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2m (m-6)+4 (m-6)=0[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (2m+4)(m-6)=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (2m+4)=0{\quad}or\: (m-6)=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2m=-4=0 {\quad}or\: m=6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {4}{-2}}{\quad}or\: m=6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf m=-2 {\quad} or\:m=6 [/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf m=-2,6}}}[/tex]

Marissa substracted a negative number from a positive number. Her result was negative. Is that reasonable? Explain.

Answers

Answer: It is not reasonable.

Step-by-step explanation: when subtracting a negative number from a positive number the answer is always going to be positive because two negatives make a plus. For example 3-(-5). The two negatives cancel each other out, so it’s 3+5=8

A freight train traveling along a certain route uses 12 units of fuel per mile plus an additional 2.2 units of fuel per mile for each railcar on the train. Let N represent the number of railcars on the train. What is an expression for f(N), the total number of units of fuel used per mile? find f(12). How many railcars does the train have if f(N)=34?

Answers

Answer:

[tex]38.4\ \text{units of fuel/mile}[/tex]

10

Step-by-step explanation:

Let [tex]N[/tex] represent the number of rail cars on the train

Each rail car adds 2.2 units of fuel per mile.

Fixed fuel consumption is 12 units of fuel per mile

The function of fuel consumption per mile is

[tex]f(N)=12+2.2 N[/tex]

when

[tex]N=12[/tex]

[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]

[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]

[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]

So, the number of rail cars when [tex]f(N)=34[/tex] is 10.

could someone help me with this ? i need to find m

Answers

the three angles of a triangle always add up to 180 degrees.

So, add the three angles together!

2x - 12 + 2x + 17 + 9x - 7 = 180

Group the similar numbers together.

13x -2 = 180

13x = 182

x = 14

Plug x in to 2x + 17

14*2 + 17 = 45

mX = 45 degrees

Answer:

m∠X = 45°

Step-by-step explanation:

All angles in a triangle add up to 180°

2x - 12 + 2x + 17 + 9x - 7 = 180

13x = 180 - 17 + 12 + 7

13x = 182

x = 14°

m∠X = 2x + 17

sub x = 14° into m∠X

2(14) + 17

m∠X = 45°

how would you solve p-11=-14

Answers

Answer:

Step-by-step explanation:

all you would need to do is add 11 to both sides, and then you would get your answer.

travels only on Saturdays and Sundays and has miles this month. Travels every weekday and has miles this month. If they each travel about the same number of miles each​ day, who travels more miles per day for this​ month?

Answers

Complete question :

William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month

Answer:

WILLIAMS ; 50 miles per day

Step-by-step explanation:

Given that :

Williams travel times = Saturdays and Sundays

Total distance traveled = 400 miles

Jason travel times = Every weekday

Total distance traveled = 500 miles

Number of weeks in a month = 4

Hence, saturdays and Sundays = 4 * 2 = 8 days

Weekdays = 5 * 4 = 20 days

Miles traveled per day:

Williams :

Total distance / number of days

= 400 miles / 8 days

= 50 miles per day

Jason :

Total distance / number of days

= 500 miles / 20 days

= 25 miles per day

50 > 25

Hence, Williams travel more miles per day than Jason

1)There are whole numbers that are not integers.
true or false

2)All rational numbers are whole numbers.
true or false


3)All integers are whole numbers.
true or false

4)All integers are rational numbers.
true or false

Answers

Answer:

1).false 2). false 3).true 4). true

Step-by-step explanation:

1).All whole numbers are integers, so s...” That's right! All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.

3).. Integers include all whole numbers and their negative counter part e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers. is a rational number but not an integer. 4). All integers are rational number. Since we can rewrite an integer into a fractional form by diving it by 1. For example, 4=41 4 = 4 1 . But not all rational numbers are integer.

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[tex]

1) \: \: \: \: False[/tex]

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[tex]

2) \: \: \: \: False[/tex]

[tex]Exam)\frac{1}{2} \: \: is \: \: rational \: \: but \: \: it \: \: is \: \: not \: integer \\ [/tex]

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[tex]

3) \: \: \: False[/tex]

[tex]Exam)- 1 \: \: is \: \: integer \: \: but \: \: it \: \: is \: \: not \: \: whole \: \: number \\ [/tex]

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[tex]4) \: \: \: \: True[/tex]

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Simplify the following.
a) 3x*y * 2xy

Answers

Simplify the expression.

6x^2y^2

Will mark brainliest pls help

Answers

Answer:

18

Step-by-step explanation:

Add all the sides. But you are missing two sides. Soo since the top is 4, the bottom is two bc half is two. then the right side is 5 and the left, half is 2 so the other half is 3. 3+2=5! soooo the perimeter is 18.

Answer:

18

Step-by-step explanation:

We add up the side lengths,

[tex]5+4+3+2+2+2= 18[/tex]

by finding missing side lengths with subtraction and logic

and I'm pretty sure this is correct, but I like double-checking things.

This figure is made out of 2 rectangles,

2x5 and 3x2

The perimeter of each is 14 and 10

[tex]14+10-3-3=18[/tex]

the two 3's are the over lapping sides

We also get 18.

Click on the supporting detail that correctly explains what
happens during reduction firing.
Answer:the third one

Answers

Answer: sorry i’m late ..

but the answer is : in reduction firing, the amount of oxygen is reduced as the fuel burns. So, different chemical reactions take place

Step-by-step explanation:

i took the lesson on iReady “understanding technical and scientific texts - tutorials- part 2- Level d” !!

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