The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years. Which of the following is an appropriate line of best fit?
Answers
The equation of the appropriate line of best fit is y = 1.25x + 2
How to determine the line of best fit?Start by drawing a line through the points (see attachment)
From the attached graph, we have:
(x, y) = (0,2) and (4,6.5)
Calculate the slope (m) using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (6.5 - 4)/(2 - 0)
Evaluate
m = 1.25
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1.25(x - 0) + 2
Expand
y = 1.25x + 2
Hence, the equation of the appropriate line of best fit is y = 1.25x + 2
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Related Questions
What is the polynomial? Quick I need answer
Answers
Answer:
An algebraic expression containing two or more terms is called a polynomial
Answer:
Its C
Step-by-step explanation:
it worked finally
Solve the given proportion.
X/3 = 6/2
x = [?]
Answers
Answer:
x = 9
Step-by-step explanation:
x/3 = 6/2
~Simplify
x/3 = 3
~Rewrite
1/3x = 3
~Multiply 3 to both sides
x = 9
Best of Luck!
Answer: x=9 ✅
Step-by-step explanation:
Hii student, I'd love to help you out! (:
In this problem, we need to solve a proportion. This is fun, right?
3,2,1 - start!
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Solving proportions is easy as winking, if you are familiar with a skill that is known as "cross multiplying".
We have these two proportions:
(oh and by the way, proportions are just equivalent (equal) fractions. That's all proportions are. Nothing more)
Our proportions are:
[tex]\large\boldsymbol{\cfrac{x}{3}=\cfrac{6}{2}}[/tex]
We multiply x times 2 and 3 times 6; upon doing that we obtain.
[tex]\multimap\quad \tt 2x=18[/tex]
Did you see that? 2 fractions turned into a little equation that we can solve within 5 seconds (or faster)!
To do that we simply divide both sides by 2, since x is multiplied by 2 and we need to get it all by itself on one side of the equal sign)
[tex]\multimap\quad \tt x=9[/tex]
Woohoo! We found the answer! ✨
Cheers! (: ____________________________________Hope I helped! Best wishes.
Reach far. Aim high. Dream big.
[tex]\underbrace[/tex]
what is the degree of the polynomial below?
2 times x squared plus 3 times x plus 1
Answers
Answer:
2
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. In 2x^2 + 3x +1, our highest degree is 2.
(d) Two alarm clocks are set to ring at intervals of 42 minutes and 56 minutes respectively. If the alarm clocks ring together at 0830, at what time will they next ring together again?
Answers
Answer:
11:18
Step-by-step explanation:
the lowest common multiple [meaning the nearest possible time these clocks will be ringing at the same time] of 42 and 56 is 168
(56 x 3 = 168 ; 42 x 4 = 168)
So, in 168 minutes, the clock will ring together again.
Now, we need to add 168 minutes to 08:30
(168 can be made up of 2 hours and 48 minutes [120 + 48 = 168])
08:30 + 2 hours = 10:30
10:30 + 48 minutes = 11:18
So, at 11:18, these clocks will ring together again
What is the gradient of the blue line?
Answers
Sorry but I believe that’s the answer
Please help me with this ASAP.
Kiran’s mother gets a restaurant bill for $25. She has a coupon for 15% off. After the discount is applied, she adds 20% as a tip.
What is the total after the discount and tip? Explain or show your reasoning.
Answers
Answer:
See below for both parts
Step-by-step explanation:
A)
Coupon Price:
$25 - 15% ($3.75) = $21.25
10% = 2.50
5% = 1.25
After taking the discount coupon off the final price is $21.25
B)
20% is given as a tip.
20% of $21.25 = $4.25
10% = 2.125
$21.25 + $4.25 = $25.50
Final price with tip is $25.50
Y W P 8 cm E R WERP is a square. Find.
1. m2WER=
2. measure of PE =_______
3. measure of WA =
4. Value of y=
Answers
1) All interior angles of a square are right angles, so angle WER measures 90°
2) All squares are parallelograms, and diagonals of a parallelogram bisect each other, meaning PA=AE=8 cm. Thus, PE=16 cm
3) All squares are rectangles, and diagonals of a rectangle are congruent, meaning WR=16 cm. Then, using the fact that the diagonals bisect each other, we get that WA=8 cm
4) If we consider right triangle WPR, we know it is isoceles because all sides of a square are congruent. So, the length of WP is:
[tex] \frac{16}{ \sqrt{2} } = 8 \sqrt{2} [/tex]
(a − b)(2x − 3) + (6x + 7)(a − b)
factorise and ignore the first question it was wrong
Answers
Answer:
8ax - 8bx + 4a - 4b
Step-by-step explanation:
(a - b)(2x - 3) + (6x + 7)(a - b)
2ax -3a -2bx +3b + 6ax - 6bx + 7a -7b
8ax + 4a - 8bx - 4b
Do this for me x+y=6
Answers
Answer:
A = 8 ; B = 6 and C = 4
Step-by-step explanation:
(-2) + A = 6
A = 6 + 2
A = 8
0 + B = 6
B = 6
2 + C = 6
C = 6-2
C = 4
Round to 2 decimal places 8.041
Answers
Answer:
8.04
Step-by-step explanation:
If the last digit in 8.041 is less than 5, then remove the last digit.
I hope this helps!
Find (gof)(3)
f(x) = x + 21
g(x) = -x²
a. -25
C.
4
b. 1
d. -15
Please select the best answer from the choices provided
Answers
A function assigns the values. The value of (gof)(3) is -576.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Given f(x)=x+21 and g(x)=-x², therefore, the value of (gof)(x) will be,
(gof)(x) = g(f(x))
= -(x+21)²
The value of (gof)(3) will be,
(gof)(3) = -(3+21)²
= -576
Hence, the value of (gof)(3) is -576.
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a tree surgeon reduces the height of a beech tree by 32%.
the tree is now 4.42m tall.
how tall was it before it was reduced?
Answers
Let original Hieght be X
reduction = 32% = 32/100 X
new hieght = 4.42 m
now, 4.42 = X + 32/100 X
4.42 = 132/100 X
X = 4.42 * 100 / 132
X = 3.34 m
Original Hieght = 3.34 m
Helena sees this recipe for pastry. she says that the ratio of margarine to flour is 4:1 is Helena correct? explain your answer
pastry:200g flour pinch salt
50g margarine water to mix
50g lard
Answers
Answer:
NOsince it talks about a ratio of margarine to flour, we should write it in this form:
MARGARINE : FLOURSince we have a 50g margarine and a 200g flour, therefore, we write it as
➡️ 50 : 200 ➡️ 1 : 4
FINAL ANSWER SHOULD BE:
1 : 4Step-by-step explanation:
Ratio of MARGARINE TO FLOUR
Given that margarine is 50g and flour is 200g. Therefore,
Margarine:Flour ➡️ 50:200 = 1:4
To check:
A:B= C:D ➡️ 50:200= 1:4
▶️AD= BC ➡️ (50) (4) = (200) (1)
➡️ 200 = 200
☑️
Hope it helps
I need to know which ones are parallel and which ones are perpendicular and the steps thank youu
Answers
Answer:
If both equations have the same slope, they are said to be parallel.
If an equation is the reciprocal of another equation (meaning flipped denominator and numerator as well as flipped +/- sign) they are said to be Perpendicular.
Hope it helps!
y = mx + b where m is the slope
The first and last equations have 2 as their m value and therefore are PARALLEL
Since the second equation has -1/2 which is the opposite reciprocal of 2, it’s PERPENDICULAR to the other two lines :)
Please hurry i need this asap!!!
Answers
Answer:
D
Step-by-step explanation:
d) A number plus eight is five times the number
Step-by-step explanation:Keywords within mathematical phrases can be "translated" into an algebraic equation.
Keywords
First, let's define some of these keywords that can help us answer the question.
"A number" can be replaced with the variable, x"Plus" is obviously used to denote addition"Is" is used in place of an equal sign"Times" is used to show multiplicationWriting Out the Expression
In the figure, we see that the blocks "x" and "8" is equal to the block "5x". So, we can say that x plus 8 is equal to 5x. Then, using the keywords above we can replace the variables and numbers.
This creates the new sentence, "A number plus 8 is equal to five times a number."Find x.
7x
6x+1
4x+6
Answers
7
x
+
6
x
−
5
=
4
x
+
4
13
x
−
5
=
4
x
+
4
9
x
=
9
x
=
1
Answer:
this is the answer
Step-by-step explanation:
6x+1=0
6x=-1
x=-1/6
x=0,166
7x=7×x
what's a frustum and what's the formula of the Almighty Formula
Answers
Answer:
the portion of a solid that lies between one or two parallel planes cutting it
Step-by-step explanation:
R is the midpoint of QS. If QR = 7x and QS = 15x − 7, what is QR?
Answers
Answer: 49
Step-by-step explanation:
If R is the midpoint of QS, QS=2(QR)=2(RS).
[tex]15x-7=2(7x)\\15x-7=14x\\-7=-x\\\\x=7\\\\QR=7(7)=\boxed{49}[/tex]
Max's Market sells 6 eggs for £2.04.
Groceries Galore sells 8 eggs for £2.64.
Fancy Foodstuffs sells 12 eggs for £4.08.
Which shop's price per egg is cheaper?
Answers
Answer:
Groceries Galore
Step-by-step explanation:
1) Find the value of 1 egg for each shop.
Max's Market:
2.04 ÷ 6
= £0.34
Groceries Galore:
2.64 ÷ 8
= £0.33
Fancy Foodstuffs:
4.08 ÷ 12
= £0.34
Therefore, Groceries Galore's price per egg is cheaper.
Answer:
Groceries Galore
Step-by-step explanation:
we have to calculate the price of 2 eggs
in each shop apart ,and then we can infer
which shop offers the cheaper price.
…………………………………………………………
• At Max's market :
2 egg costs 2,04÷3 = £0,68
• At Groceries Galore :
2 egg costs 2,64÷4 = £0,66
• At Fancy Foodstuffs :
4,08÷6 = £0,68
………………………………
Conclusion :
Groceries Galore Offers the Lower price.
Note : we can just determine
the price of one egg in each store ,and then compare.
The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the height above water and x is the horizontal distance in feet. If a beam of light is shone upward at an angle modeled by the equation x + y = 10, at what height from the water's surface will the beam of light hit the dolphin?
Answers
Answer:
5 feet
The graphs intersect at x = 5.
Six girls and four boys have entered the science fair. first, second, and third place awards are to be given out. what is the probability that a girl wins the first place award while boys will receive the second and third place awards? express your answer as a percent.
Answers
Answer:
the probability is 10%
Step-by-step explanation:
A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?
Answers
Answer:
4.11 yards/uniform
Step-by-step explanation:
We aren't told that there will be any differences in the uniforms among the 16 concert and 20 symphonic band students. No information on sizes, styles, or anything else.
In the absence of this information, we must assume all uniforms are the same.
(16 + 20) = 36 students/uniforms
148 yards of material
148 yards/36 uniforms = 4.11 yards per uniform.
The radius of a sphere is 3 inches. Which represents the volume of the sphere? 12Ï€ cubic inches 36Ï€ cubic inches 64Ï€ cubic inches 81Ï€ cubic inches.
Answers
Answer: 113 inches cubed
Step-by-step explanation:
Volume of a sphere = 4/3 Pi r^3
Radius = 3 inches
Volume = 113 inches cubed
Hope I helped!
The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score? A) 20 B) 24 C) 32 D) 36
Answers
The highest score is 32.
What is mean?The mean refers to the average of a set of values.
Total players = 8
Mean= 14.5
Now, total score of 8 players,
= 14.5*8
=116
and, Total score for the remaining 7 players
= 12 * 7
= 84
Hence, the highest score is 116-84 =32
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A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car
can travel on 7 gallons of gas?
Answers
Answer:
147 miles
Step-by-step explanation:
The first step is to find the number of miles traveled per gallon of gas
63 miles / 3 gallons = 21 miles per gallon
Take the rate and multiply by the number of gallons used to get the distance traveled
d = r * g
d = 21 * 7
d =147
The distance traveled is 147 miles
Solve for DG. Show all work
Answers
32/40 = 24/dg
32dg = 40 x 24
32dg = 960
dg = 960/32
dg = 30
Answer: DG = 30
Answer:
DG = 30 unitsStep-by-step explanation:
these are 2 similar triangles, so we can solve with an equation
FC : CE = DG : ED
24 : 32 = x : 40
x = 24 * 40 : 32
x = 960 : 32
x = 30
DG = 30 units
------------------------------
check24 : 32 = 30 : 40
0.75 = 0.75
The answer is good
Can someone explain how I do this?
Answers
Answer:
oh soooooooooooooooo sorry
Step-by-step explanation:
sorry
Answer:
12.5N
Step-by-step explanation:
See attached image.
The largest number of Oscars received by a film in year X was 4. This was different in previous years. Below is a probability distribution for the number of Oscars per Oscar winning film. What is the standard deviation of this distribution
Answers
The standard deviation of the given discrete distribution, considering it's formula, is of 1.195.
How to find the mean and the standard deviation of a discrete distribution?The mean is given by the sum of the multiplications of each outcome by it's probability.The standard deviation is given by the square root of the sum of the squares of each outcome subtracted by the mean, multiplied by it's probability.Researching this problem on the internet, the distribution is given by:
P(X = 1) = 0.56.P(X = 2) = 0.23.P(X = 3) = 0.11.P(X = 4) = 0.05.P(X = 5) = 0.03.P(X = 6) = 0.02.Hence the mean is given by:
E(X) = 0.56(1) + 0.23(2) + 0.11(3) + 0.05(4) + 0.03(5) + 0.02(6) = 1.82.
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{0.56(1-1.82)^2+0.23(2-1.82)^2+0.11(3-1.82)^2 + \cdots + 0.02(6-1.82)^2} = 1.195[/tex].
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please solve and tell me all that apply
Answers
Answer:
-x+4, 4+-x
Step-by-step explanation:
Obtain these answers by moving the X and 4 around and multiplying the equation by -1
Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expression for x=7.
Input (x) Output
0 1
1 5
2 25
3 125
4 625
Answers
The exponential function is used. Use x as your variable common ratio.
This is pretty obviously
If it wasn't obvious we can find the common ratio r by dividing successive values:
5/1=5
25/5=5
125/25=5
625/125=5
What is the common ratio?
The common ratio is the number you multiply or divide by at each stage of the sequence. You can find it by dividing two consecutive pairs of terms.
That's the common ratio. We multiply by the first term, but the first term is one, so that has no effect.
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