Answer:
(a) [tex]\hat y=69.04-0.083\cdot x[/tex]
(b) D. For every unit increase in commute time, the index score falls by 0.083, on average.
Step-by-step explanation:
(a)
Form the least-squares regression line using Excel as follows:
Go to Data → Data Analysis → Regression
A dialog box will open.
Select the X and Y variable.
Press Ok.
The regression output is attached below.
The least-squares regression line is:
[tex]\hat y=69.04-0.083\cdot x[/tex]
(b)
The slope of a regression line is the average rate of change in the dependent variable (y) with 1 unit change in the independent variable (x).
Here the slope value is -0.083. This value implies that with 1 minute change in the commute times the Well-Being Index Score falls by 0.083 units.
The intercept of a regression line is the average value of the dependent variable (y) when the independent variable (x) value is 0.
Here, the intercept value is 69.04. This value implies that for a person with commute time 0, their Well-Being Index Score is 69.04.
The correct option is:
D. For every unit increase in commute time, the index score falls by 0.083, on average.
I WILL GIVE BRAINLIEST!!!
Answer:
Answer is after 20 miles
Step-by-step explanation:
10 +2.5x = 3x
10 = 3x-2.5x
10=0.5x
10/.5=x
x=20
At 20 miles they both have a cost of 60
Let's see what to do buddy....
____________________________
Step (1)
Express taxi charges 2.50 $ per mile.
So if each mile equals x the taxi charges 2.50 x.
There's the starting fare too.
So ;
Express taxi charges by the following function :
[tex]f(x) = 2.5x + 10[/tex]
____________________________
Step (2)
Speedy taxi charges 3 $ per mile.
So if each mile equals x the taxi charges 3x .
There's no starting fare.
So ;
Speedy taxi charges by the following function :
[tex]g(x) = 3x[/tex]
____________________________
Step (3)
To find that after how many miles is the cost of both taxi services the same , we must equal their functions.
Then solve for x .
So we have :
[tex]f(x) = g(x)[/tex]
[tex]2.5x + 10 = 3x[/tex]
Subtract the sides of the equation minus 2.5x :
[tex]10 = 0.5x[/tex]
[tex]10 = \frac{1}{2}x \\ [/tex]
Multiply the sides of the equation by 2 :
[tex]x = 20[/tex]
So after 20 miles both taxi services have the same cost.
____________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
If a number a is chosen at random from the set
of positive integers less than 20, then what is the
probability that
12
>a?
a
A. 12
19
B. 3
5
C. 7
19
D. 3
19
Glo Glukom
Answer:
D. 3/19
Step-by-step explanation:
12/1 = 12
12/2 = 6
12/3 = 4
These are the only ones that make the equation true.
There are also only 19 numbers because they need to be less than 20 like the question indicated. Therefore, the answer is D.
gimme the formula :)
50 Point Bounty :)
Answer:
[6, 10]
Step-by-step explanation:
Let the weight of a pen be x
Then its weight can be between
8 - 2 = 6 g and 8 + 2 = 10 g
This can be shown as
8 - 2 ≤ x ≤ 8 + 2
6 ≤ x ≤ 10
x = [6, 10]
i think....
1/4k = 3/8k - 1/4
what is the answer
Answer:
false
Step-by-step explanation:
1/4k=3/8k-1/4 is just saying that 1/4/k=1/8k
isip at kilos loob ng
paaralan
y = 2/3 x - 3
y= -3/2x + 2
Which statement about the lines are true?
A. The lines are the same.
B. The lines are parallel.
C. The lines are perpendicular.
D. The lines intersect but are not perpendicular.
Answer:c the lines are perpendicular
Step-by-step explanation:it’s just perpendicular
To win a trivia game, Nathan must score at least 105 points. Each correct answer is worth \large 3\frac{1}{3} points, and each incorrect answer is worth \large -\frac{1}{2} . If he gets 33 questions correct and 20 questions incorrect, how many points does he have? Does he win? (yes or no)
Answer:
Nathan earned 100 points. he lost the trivia game by 5 points.
Step-by-step explanation
3[tex]\frac{1}{3}[/tex] * 33 = 110 points earned
[tex]\frac{1}{2}[/tex] * 20 = 10 points lost
110-10 = 100
Nathan earned 100 points. he lost the trivia game by 5 points.
Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang’s class?
A. 28 ÷ 4/7 = 49
B. 28 x 4/7 = 16
C. 4/7 ÷ 28 = 1/49
D. 7/4 ÷ 28 = 1/16
Answer:
b
Step-by-step explanation:
First, multiply it with each other and then it is 28 *4/7 = 16
Meaning that there is 16 girls in Mr. Chang's class
Making the answer B. 28 x 4/7 = 16 to be correct
I hope this helps, love!
Hideyko has 3/5 yards of ribbon to tie on balloons for the festival. Each balloon will need 3/10 yard of ribbon. How many balloons can Hideko Tie with ribbon?
Answer:
The answer would be 2
Step-by-step explanation:
Please mark me brainiest B) :) ;) B]
Complete the following statement. Use the integers that are closest to the number in the middle.
Attachment Below
Answer:
-1 and 6
Step-by-step explanation:
i hope this help you
7,11,15,19 what is the zero term
Answer:
4n+3
Step-by-step explanation:
11-7=4, 15-11=4, 4(1) + something = 74(1)=4x1=44+something=7
So the nth term is 4n+3
Characterize the slope of the line in the graph.
Answer:
The answer is, C. Zero because it is neither positive or negative
Answer:
Zero Hope this helps!
1. In ABC, A=45 degrees, B=75 degrees, and BC=12. What is the length of AB?
We know that sum of the interior angles of any triangle equal 180° :
So :
A + B + C = 180°
45° + 75° + C = 180°
120° + C = 180°
Both sides minus ( 120°) :
C = 180° - 120°
C = 60°
_________________________________
According to the theorem of sinuses :
[tex] \frac{AB}{ \sin(C) } = \frac{BC}{ \sin(A) } \\ [/tex]
[tex] \frac{AB}{ \sin(60) } = \frac{12}{ \sin(45) } \\ [/tex]
[tex] \frac{AB}{ \frac{ \sqrt{3} }{2} } = \frac{12}{ \frac{ \sqrt{2} }{2} } \\ [/tex]
[tex]Multiply \: both \: sides \: by \: \frac{ \sqrt{3} }{2} [/tex]
[tex] AB = \frac{24}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} \\ [/tex]
[tex]AB = \frac{12 \sqrt{3} }{ \sqrt{2} } \\ [/tex]
[tex]AB = \frac{2 \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]
[tex]AB = \frac{ ({ \sqrt{2} })^{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]
[tex]AB = \frac{ \sqrt{2} \times \sqrt{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]
[tex]AB = \frac{ \sqrt{2} \times 6 \sqrt{3} }{1} \\ [/tex]
[tex]AB = \sqrt{2} \times 6 \sqrt{3} [/tex]
[tex]AB = 6 \sqrt{2 \times 3} [/tex]
[tex]AB = 6 \sqrt{6} [/tex]
_________________________________
I think this is the correct answer.
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
You notice a hot air balloon descending. The elevation h
(in feet) of the balloon is modeled by the function h(x)=−8x+360,
where x
is the time (in seconds) since you first noticed the hot air balloon.
Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.
Answer:
the domain is 0 x 45 and the range is 0 h 360. The slope is -8, so the change in the height of the ballon is -8 feet per second. The h-intercept is 360, so the height of the ballon when the first noticed it was 360 feet. The x-intercept is 45, so the time it took the hot air balloon to reach the ground was 45 seconds.
Step-by-step explanation:
The descending balloon is an illustration of a linear function.
The balloon spent 45 seconds in air The balloon was at a height of 360 feet when you noticed it.The balloon descends 8 feet per seconds.[tex]\mathbf{Domain=[0,45]}[/tex].[tex]\mathbf{Range=[0,360]}[/tex]The function is given as:
[tex]\mathbf{h(x) = -8x + 360}[/tex]
See attachment for the graph of h(x)
From the graph, we have the following observations
The y value ranges from 0 to 360The x value ranges from 0 to 45The function crosses the graph at x = 45 and y = 350The above highlights mean that:
[tex]\mathbf{Domain=[0,45]}[/tex][tex]\mathbf{Range=[0,360]}[/tex][tex]\mathbf{x-intercept = 45}[/tex][tex]\mathbf{y-intercept = 360}[/tex]The x intercept means that:
The balloon spent 45 seconds in air
The y-intercept means that:
The balloon was at a height of 360 feet when you noticed it.
A linear function is represented as:
[tex]\mathbf{y = mx + c}[/tex]
Where:
m represents the slope
By comparison with [tex]\mathbf{h(x) = -8x + 360}[/tex]
[tex]\mathbf{m = -8}[/tex]
The above value of slope means that:
The balloon descends 8 feet per seconds
Read more about linear functions at:
https://brainly.com/question/20286983
MATH QUIZ PLEASE HELP <3
Determine whether the following relation is a function.
y= - 3x - 4
Juanita drove 336 miles on 14 gallons of gasoline whats is the ratio of miles to gallons
Answer:
24:1
Step-by-step explanation:
The ratio is 336:14 to 24:1.
Jose earns $920 for 40 hours of work. What is Jose’s unit rate?
i need help
Answer:
Step-by-step explanation:
rate=earning/time=920/40=23 $ per hour.
Whitney wants to buy a sweater for $36. If the sales tax rate is 8.25%, what will be
the amount of sales tax on Whitney’s purchase?
A $2.89
B $2.97
C $3.06
D $3.13
Answer:
b
Step-by-step explanation:
Uh, uh, uh, uh
Day and night (what, what)
I toss and turn, I keep stressing my mind, mind (what, what)
I look for peace but see I don't attain (what, what)
What I need for keeps this silly game we play, play
Now look at this (what, what)
Madness to magnet keeps attracting me, me (what, what)
I try to run but see I'm not that fast (what, what)
I think I'm first but surely finish last, last
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
Hold the phone (what, what)
The lonely stoner, Mr. Solo Dolo (what, what)
He's on the move can't seem to shake the shade (what, what)
Within his dreams he see's the life he made, made
The pain is deep (what, what)
A silent sleeper you won't hear a peep, peep (what, what)
The girl he wants don't seem to want him to (what, what)
It seems the feelings that she had are through, through
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone through the day and night
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone, some things will never change (never change)
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
what is the answer? pls help
Answer:
20
Step-by-step explanation:
lol ok got it bro
What is the sum of -95
and its additive inverse?
Answer:
0
Step-by-step explanation:
Answer: 0 is the answer
Step-by-step explanation:
Shaun and trudy are selling raffle tickets. So far shaun has sold x tickets. Trudy has sold 3 more tickets than half the number of tickets that shaun sold.what expression represents the number of raffle tickets that shaun and trudy have sold altogether?
Answer:
x/2 + 3
Step-by-step explanation:
Shaun sold x tickets.
Trudy has sold 3 more tickets than half the number of tickets that Shaun sold.
Half the number Shaun sold is x/2.
3 more than that is x/2 + 3
Answer: x/2 + 3
Answer:
x/2 +3 + x
Step-by-step explanation:
Trudy sold x/2 + 3 tickets compared to shaun. So the total number of tickets they sold overall is x/2 +3 + x.
Convert 9 3/4 to an improper fraction.
Answer:
39/4
Step-by-step explanation:
Because I multiplied 4 x 9 + 3
9 3/4 may be expressed as an improper fraction as 39/4 or 9.75.
What is Fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
9¾ is a mixed fraction. 9 is the whole number whereas ¾ is the fractional part. 9¾ is also 9+¾.
Fractions that have a numerator greater than a denominator, such as 8/7 or 123/112, are considered improper fractions.
Thus, to convert 9 3/4 into an improper fraction, multiply the whole number component—in this case, 9, by the denominator (4 in this case). The multiple of 9 and 4 you just discovered is added to the numerator (3), which is then used as the numerator. The numerator (four) stays the same.
Therefore, 9 3/4 can be written as 39/4 or 9.75 in the terms of the improper fraction.
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ2
Complete the following statement.
When converting a decimal to a fraction, the digits to the right of the decimal point become th
of the
fraction.
numerator
denominator
NEXT QUESTION
READ NEXT SECTION
ASK FOR HELP
TURN IT IN
Answer:
it becomes the numerator
Step-by-step explanation: i read it in my lesson
A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?
(x, y) → (x – 3, y + 5)
(x, y) → (x – 3, y – 5)
(x, y) → (x + 3, y – 5)
(x, y) → (x + 3, y + 5)
Answer:
(x, y) → (x – 3, y + 5)
Step-by-step explanation:
Finish the sentence:
Renee is a sales associate at a store. She earns $80 a week plus a 15% commission on her sales. Last week, she sold $200 worth of items. What is the total amount Renee earned for the week? How much did she earn from commission?
Renee earned a total of $ for the week. The amount she earned from commission was $ .
Answer:
$110 for the week
$30 commission
Step-by-step explanation:
Which one of these are not equivalent to each other and which ones are:
3 (x+2), 3x+6, 3 (2x)
Answer:
3(x+2) and 3x+6 are equivalent.
3(2x) is not.
Step-by-step explanation:
Simplify the expressions first.
1. 3(x+2) becomes 3x+6
2. 3x + 6
3. 3(2x) becomes 6x
The first and second are equivalent to each other.
The third one is not equivalent.
Hope this helped :)
solve this: F(x) = 1/x+6
Answer:
Step-by-step explanation:(F)=1/F+6
We move all terms to the left:
(F)-(1/F+6)=0
Domain of the equation: F+6)!=0
F∈R
We get rid of parentheses
F-1/F-6=0
We multiply all the terms by the denominator
F*F-6*F-1=0
We add all the numbers together, and all the variables
-6F+F*F-1=0
Wy multiply elements
F^2-6F-1=0
a = 1; b = -6; c = -1;
Δ = b2-4ac
Δ = -62-4·1·(-1)
Δ = 40
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
F1=−b−Δ√2aF2=−b+Δ√2a
The end solution:
Δ‾‾√=40‾‾‾√=4∗10‾‾‾‾‾‾√=4√∗10‾‾‾√=210‾‾‾√
F1=−b−Δ√2a=−(−6)−210√2∗1=6−210√2
F2=−b+Δ√2a=−(−6)+210√2∗1=6+210√2
What is the area of a triangle if the top is 3 the left side is 6 and the right side is 6.7
the answer is 120.6 I'm pretty sure
Answer:
9.525 units squared
Step-by-step explanation:
I'm assuming the 3 is the base of the triangle so I split 3 in half and got 1.5 for 2 right triangles. I then did the area of a right triangle formula 1/2 base x height
1/2(1.5 x 6)=4.5
1/2(1.5 x 6.7) =5.025
Add these two together
5.025+4.5=9.525
9.525units squared
Find the difference. 5wx²-2wx²
a. 3
b 2wx²
c 3wx²
d 4wx²
Answer:
3x²
Step-by-step explanation: