Given:
The regression equation for change in temperature, y, to amount of rain, r, is given by
[tex]\hat{y}=0.2-1.4r[/tex]
The observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees.
To find:
The residual and interpret it.
Solution:
According to the question, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees.
So, the actual value is 2.3 degrees.
Put r=0.4 in the given equation, to find the predicted value.
[tex]\hat{y}=0.2-1.4(0.4)[/tex]
[tex]\hat{y}=0.2-0.56[/tex]
[tex]\hat{y}=-0.36[/tex]
We know that,
Residual = Actual value - Predicted value
[tex]Residual=2.3-(-0.36)[/tex]
[tex]Residual=2.3+0.36[/tex]
[tex]Residual=2.66[/tex]
Residual is positive because predicated value is less than the actual value.
So, the regression line underpredicts the temperature change.
Therefore, the correct option is B.
A car dealership increased the price of a certain car by 11%. The original price was $42,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price - Original price
(b) Use your answer in part (a) to determine the new price.
So, with percentages the easiest way is to multiply the 42200 by 0.11. After that you get (4642.00) < Answer to A so you add 42200 to 4642 to get the new price. That should bring you to (46842.0) < Answer to B
1.) Solve the system of equations by method of elimination. Show all your work.
2x + 4y = 8
10x – 4y = 16
Answer:
x=2, y=1
Step-by-step explanation:
Add:
2x+4y=8
+10x-4y=16
------------------
12x=24
Divide by 12 on both sides:
x=2
Substitute x with 2 on either 2x+4y=8 or 10x-4y=16 it doesn't matter it will result in the same answer.
(I will do both of them to prove it but you only need to replace x with one of the equation)
For 2x+4y=8
2(2)+4y=8
4+4y=8
Subtract 4 on both sides
-4+4+4y=8-4
4y=4
Divide 4 on both sides:
y=1
For 10x-4y=16
10(2)-4y=16
20-4y=16
-20+20-4y=16-20
-4y=-4
Divide -4 on both sides:
y=1
The answer for both 2x + 4y = 8 and 10x – 4y = 16 are the same showing that it doesn't matter which equation you replace the number with it will still result you in the same answer
Hope this helps!
Which is equivalent to 64 1/4?
Answer: 2[tex]4\sqrt{x} 4[/tex]
Step-by-step explanation:
helppppppppp plsssssssssssssssssssssssssssssssssssssssssssssss
HELP A GIRL OUT please
Answer:
I GOT YOU GIRLLL!!
= D. 10.4cm
Step-by-step explanation:
a^2+ b^2=c2
3^2+10^2=c2
9+100=c2
109=c2
[tex]\sqrt{109}[/tex] = [tex]\sqrt{c^{2} }[/tex]
10.4=c
Inverse operations are mathematical operations that undo one another. Division is the inverse operation of multiplication. -2 × 6 = -12. -12 ÷ 6 then "undoes" this multiplication, leaving us with a quotient of -2. Multiplication and division follow the same rules related to signs. A negative integer multiplied by a positive integer gives us a negative product. Similarly, a negative integer divided by a positive integer gives us a negative quotient. However, unlike multiplication, division is not commutative. If you change the order of the number you're dividing and the number you're dividing by, you will get a different quotient. Find the quotient: -54 ÷ 9 =
Answer:
-54/9=-6
Step-by-step explanation:
When doing this division we need to take a couple of things into account. First, notice we are dividing a negative number into a positive number, therefore our answer must be negative.
Second, notice that 9 fits 6 time into 54, therefore:
-54/9=6
We can look at this graphically, if we have 54 squares and divided them in groups of 9, we would get 6 groups of 9 in total.
See attached picture.
PLEASE HELP ANSWER!!
Answer:
the 3rd one
Step-by-step explanation:
Answer:
Discontinuous
Step-by-step explanation:
Can someone help me what is the answer
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)
m = [tex]\frac{3+1}{0+1}[/tex] = [tex]\frac{4}{1}[/tex] = 4
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 4x + 3 ← equation of line
There are 24 students in a classroom and 6 large round tables. How many children should be seated at each table if there must be the same number of children at each table? Show your work. HELP PLEASE!!!!!!
Answer:
4 students in each table
Step-by-step explanation:
24 students
6 desks
24 students split into 6 groups
24 divided by 6
= 4
4 students in each table
the bottom sides of two similar triangles are_______ sides
Answer: Proportional
Step-by-step explanation: When to corresponding sides of different triangles are alike, they are considered to be proportional.
omg I am literally begging you plz help meeee I have no idea what to do and I need to get these correct so please help me!!!! (also plz show your work) don't answer if you don't know what your doing -_-
Answer:
2) cause both of them is the same thing
3) Side angle side
4) cpct (corresponding part of congruent triangles)
marie is building a fence around a yard in the shape of a square the area of the yard is 196 square feet how many feet of fencing does marie need for her yard? a.14 b.26 c.56 d.784 please help!!!
Answer:
I think it is 14 Feet
Step-by-step explanation:
Because if we multiply 14 by 14 we will get 196 I also did this test and that is what I put. I hope this helps
sinπ÷14×sinπ÷14×sinπ÷14
Answer:
Step-by-step explanation:
??? do you need help or is this free points?
On see the inverse Nutrlicative meses have a product of 1. Find the multiplicative inverses of the terms in the first column Show that the given number and its multiplicauve inverse have a product of 1. Then, use the inverse to write each comesponding expression in standard form. The first row is completed for you Multiplicat Proof-Show that Use each inverse to write its
Answer:
765
Step-by-step explanation:
did this queastion 20 minutes ago
2x=90??
btw did you guys see the new battle pass?!?!
Answer:
fortnite is garbo
Step-by-step explanation:
will mark brainliest
Select all true statements.
- 25% off the price of a computer. The regular price for each computer is x dollars. The new price is 0.75x.
- An ice cream bar has x calories. The size of the bar is increased by 5%. The new calorie count is 1.95x.
- A store raises the price (P) of a computer monitor by 12%. The new price is P+ 0.12P.
- A cell phone company offers a 30% discount on the price (P) of a new model. The new price is 0.30P
Answer:
25% off the price
A store
Step-by-step explanation:
the other khan academy assignment
Answer:
(5,-3)
Step-by-step explanation:
difference in x is 5 and in y it is .5 so add those to (0,-3.5) and you get (5,-3)
Is 6r + 3w - 2r + 5w equivalent to 4(r + 2w)
Please help I need the answer ASAP
please i need helpp ion get math at all
Answer:
you have to use the Pythagorean theorem. a^2 + b^2= c^2
72^2 + b^2 = 75^2
5184 + b^2 = 5625 (subtract 5184 from both sides)
b^2= 441 (find the square root of each side)
b= 21
subtract. (6a²-7b+3c³+4)-(9a²+6b-3c³+4)
Answer:
3+3 = 6
6-9 = -3
-7-6= -13
4-4= 0
6c^3 - 3c^2 - 13c + 0
What is Which equation correctly demonstrates the Distributive Property? F. $a\left(b+c\right)=ab+c$ G. $a\left(b+c\right)=ab+ac$ H. $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$ I. $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$
Answer:
[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]
Step-by-step explanation:
Given
[tex]F.\ $a\left(b+c\right)=ab+c$[/tex]
[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]
[tex]H.\ $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$[/tex]
[tex]I.\ $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$[/tex]
Required
Which of the options shows Distributive Property
Distributive property states that
For: [tex]a(b + c)[/tex]
The equivalent is: [tex]ab + ac[/tex]
In other words:
[tex]a(b + c) = ab + ac[/tex] ----- (1)
Having mentioned that;
Next, we compare the list of given options to (1) above
Option G matches (1).
[tex]G.\ $a\left(b+c\right)=ab+ac$[/tex]
Hence, option G correctly demonstrates distributive property
if the volume of a cube is 64 cm cube then find its total surface area
Answer:
tsa
Step-by-step explanation:
tsa of cube is 6a²
so
64cm²=6a²
Answer:
96 cm²
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the side length )
Here V = 64 , thus
s³ = 64 ( take the cube root of both sides )
s = [tex]\sqrt[3]{64}[/tex] = 4
A cube has 6 congruent square faces.
The area of 1 face = s² = 4² = 16 cm², thus
area of 6 faces = 6 × 16 = 96 cm² ← surface area
What is the slope of the line?
Answer:
The slope of the line is -3/2
Please help as well:
Solve for X
Answer:
If equal to 90 x is 4
Step-by-step explanation:
The Martinez family spent 28% of its monthly income for housing. If the family’s monthly income is $3,200, how much did they spend for housing?
Answer:.
Step-by-step explanation:
please help i’ll give brainliest please tysm :))
Answer:
7
Step-by-step explanation:
Multiply the first collum by 7. It's basically unit rates
Answer:
7
Step-by-step explanation:
let the left column be x
let the right column be y
x is being multiplied by 7
so the ratio would be 7x=y
Can you measure 4 gallons of water using a 3 gallon jar and a 6 gallon jar?
Answer:
yes just fill up the 6 gallon jar up to the 4 galon mark
Step-by-step explanation:
Tyler runs 8 miles and it takes him 64 minutes. How many miles can he run in 20 minutes?
Answer:
2.5 miles
Step-by-step explanation:
64/8=20/x
8=20/x
*x *x
8x=20
/8 /8
x=20/8
x=5/2 or 2.5
9 + y = 6 I NEED HELP ASAP
5
Answer:
y=-3
Step-by-step explanation:
Answer:
The answer to this question is -3.
Step-by-step explanation:
9 + y = 6
-9 -9
y = -3
A school has 617 students. Each class has between 28 and 32 students. Which is the best estimate of the number of classes in the school?
14 classes
20 classes
30 classes
60 classes
Answer:
I believe its either 20 or 14