Step-by-step explanation:
1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)
2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)
3. 7/p^4
In a teacher's math course, a linear regression line was calculated to predict
a student's final exam score from the score he received on the midterm. The equation was
Y = 25.5 + 0.82 where y is the final exam score and x is the score on the midterm. AJ scored 90 on the first test. AJ actually scored 99 on his final exam. What is the value of his residual?
A. -1.5
B. 1.5
C. 95
D. 97.5
E. None of these
The given equation is the best line that approximates the linear
relationship between the midterm score and the score in the final exam.
AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. E. None of these.Reasons:
The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]
Where;
[tex]\hat y[/tex] = Final exam score;
[tex]\hat x[/tex] = The midterm score;
AJ score in the first test, [tex]\hat x[/tex] = 90
AJ's actual score in the exam = 99
Required:
The value of AJ's residual
Solution:
By using the regression line equation, we have;
The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3
The residual score = Predicted score - Actual score
∴ AJ's residual = 99.3 - 99 = 0.3
AJ's residual = 0.3
Therefore, the correct option is option E;
E. None of theseLearn more about regression line equation here:
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Help me please I do not want a bot answering with a link
[tex]\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)[/tex]
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = 2x - 5
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 ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table
m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (3, 1 )
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 2x - 5 ← equation of linear function
if I have five candies from the box containing 9 candies I ate 5/9 of all candies so 5 is what part of 9 is 3
Answer: 1/3?
Step-by-step explanation:
The wording is a bit confusing. ". . . so 5 is what part of 9 is 3 . ." seems to be missing some portion of the sentence.
You ate 5/9 of the candies. There were 9 and you consumed 5. I don't know what you are asking in " . . what part of 9 is 3." 3 is 3/9, or 1/3.
Put the following equation of a line into slope-intercept form, simplifying all fractions. х - 6y = – 48 ASAP PLEASE
Answer:
y= 1/6x + 8
Step-by-step explanation:
[tex]\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.[/tex]
what is the percent increase in 300 and 375
Answer:
25
Step-by-step explanation:
Answer:
300/375=0,8
it decrease
what is the domain and range of {(3, 6, (5, 7), (7, 7), (8, 9)} ?
????????????????????
Answer:
I would use distributive property
Step-by-step explanation:
1). 4x - (2x - 15)
2). -8 + 9x (-4 + 12x)
3). 15 - 14 ( 1 + 4x )
Answer:
1). 4x - (2x - 15)=> 4x - 2x + 15
=> 2x + 15
2). -8 + 9x (-4 + 12x)=> -8 - 36x + 108x²
3). 15 - 14 (1 + 4x)=> 15 - 14 - 56x
=> 1 - 56x
Step-by-step explanation:
Hoped this helped.
Answer:
[tex]\sf 1)\: 4x-\left(2x-15\right)[/tex]
Apply Distributive property:
[tex]\sf 4x-2x+15[/tex]
Combine like terms:
[tex]\boxed{\sf 2x+15}[/tex]
_____________
[tex]\sf 2)\:-8 + 9x (-4 + 12x)[/tex]
Apply Distributive property:
[tex]\boxed{\sf -8-36x+108x^2d}[/tex]
_______________
[tex]\sf 3)\: 15 - 14 ( 1 + 4x )[/tex]
Apply Distributive property:
[tex]\sf 15-14-56x[/tex]
Subtract numbers:
[tex]\boxed{\sf 1-56x}[/tex]
_______________________________________
help me with this math question
Answer:
Its Answer is 13
Step-by-step explanation:
2y + 3 (x - y) + x2
pls help me on this im stuck
Answer:
44 or B
Step-by-step explanation:
Look at comments above
Find the surface area of a box of length 6 cm, width 5 cm, and height 4 cm.
Answer:
It would i feel like its 132
Step-by-step explanation:
James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $3,000 for their reception. If the reception hall charges a $80 cleanup fee plus $33 per person, find the
greatest number of people that they may invite and still stay within their budget.
James and Bethany can invite at most people to the reception
(Round down to the nearest whole person)
Answer:
88 people
Step-by-step explanation:
Start with the equation of
[tex]3,000\geq 33x+80[/tex]
subtract 80
[tex]3.000\geq 33x[/tex]
then divide by 33
[tex]88.48\geq x[/tex]
round down
[tex]x=88[/tex]
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
slope: 3
y-intercept: (0,-2)
(2/3)³ in simplist form
Answer:
[tex]\frac{8}{27}[/tex]
Step-by-step explanation:
2³ = 2 × 2 × 2 = 8
3³ = 3 × 3 × 3 = 27
( [tex]\frac{2}{3}[/tex] )³
= [tex]\frac{2^3}{3^3}[/tex]
= [tex]\frac{8}{27}[/tex]
Find the degree of this polynomial
z − 2
Answer:
1
Step-by-step explanation:
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the trip?
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in his account by the end of the summer. If there are 10 weeks in the summer, how much can Keith spend each week to have at least $200 in his account? Let x represent how much he can spend each week.
options:
x>30
x>70
x≤70
x≤30
Answer:
x≤30
Step-by-step explanation:
he can spend no more than $30 a week
PLEASE HELP! A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?
A. c = 1.25p B. p = 1.25c
C. c = 3.75p D. p = 3.75c
Please answer asap
Answer:
The answer is A
Step-by-step explanation:
$1.25*3=3.75
Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.
3(y - 2) = 3y - 6 PLZZZZZZ HELPPP
3(y - 2) = 3y - 6
3y - 6 = 3y - 6
3y - 3y = - 6 + 6
0 = 0
It has ∞ solutions.
0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.
_____
Hope it helps ⚜
Answer:
Infinitely Many Solutions
Step-by-step explanation:
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 Distribute 3.
0 = 0 Combine the like terms.
Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.
Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.
Translate this sentence into an equation.
76 is the product of Greg's savings and 4.
Use the variable g to represent Greg's savings.
Answer: 76 = 4g
Step-by-step explanation:
76 is the product of Greg's savings and 4 can be represented as 76 = 4g
solve pls brainliest
Answer:
yes
Step-by-step explanation: brainly
give answer to 1 d.p
Answer:
AB ≈ 5.6 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )
12 × cos62° = AB , then
AB ≈ 5.6 cm ( to 1 dec. place )
Jane eats 2/3 of a cup of cereal for breakfast every day. If the box contains a total of 24 cups, how many days will i take to finish the cereal box? Show your work.
please help asap!!!!
Answer:
Question 2: 2/3
Question 1: 1/3
Question 3: 20
Step-by-step explanation:
Question 2: 8/4 = 2 & 12/4 = 3.
Question 1: 6/6 = 1 & 18/6 = 3.
Question 3: 10/10 = 1 & 20/10 = 2.
Solve this system of equations using the Substitution Method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
Step-by-step explanation:
substitute the value of y
3x+2x+3=-2 (collect like term)
5x=-2-3 (calculate the difference)
5x=-5 (both side over 5)
x=-1
i hop it helps you❤
what is 56 inches in meters rounded to the nearest hundredth
Answer:
1.42 m
Step-by-step explanation:
Each inch is 0.0254 meters, so 56 of them is ...
56(0.0254 m) = 1.4224 m ≈ 1.42 m
Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?
A.
$30
B.
$45
C.
$60
D.
$80
Answer:
$60
Step-by-step explanation:
because 30 is 50% percent of 60
20 times the difference of a number, z, and 7
Answer:
20(z-7)
Step-by-step explanation:
2-4(3+4k)=54
Distributing^^^^^^
Answer:
Ok that is good
Step-by-step explanation:
Answer:
k = 3.2
Step-by-step explanation:
2 - 4(3 + 4k) = 54
=> 2 - 12 + 20k = 54
=> -10 + 20k = 54
=> 20k = 64
=> k = 3.2
Hoped this helped.