The scatter plot shows the average monthly temperature, x, and a family's monthly heating cost, y, for 23 different months.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 35 °F.
Note that you can use the graphing tools to help you approximate the line.
Answers
1. The equation of the line of best fit is: y = -1.15x + 102.8
2. Using the equation of the line of best fit, the predicted cost is: $62.55
What is the Equation of a Line of Best Fit?The equation of a line of best fit is represented by the equation, y = mx + b, where m is the slope and b is the initial value.
1. Using two points, (72, 20) and (20, 80):
Slope (m) = change in y / change in x = (80 - 20)/(20 - 72) = 60/-52
Slope (m) = -1.15.
Substitute m = -3 and (a, b) = (72, 20) into y - b = m(x - a)
y - 20 = -1.15(x - 72)
y - 20 = -1.15x + 82.8
y = -1.15x + 82.8 + 20
y = -1.15x + 102.8
The equation of the best line of fit is y = -1.15x + 102.8.
2. Monthly heating cost, y, for a month with an average temperature of 35°F (x) will be calculated by substituting x = 35 into y = -1.15x + 102.8.
y = -1.15(35) + 102.8
y = 62.55
The predicted monthly cost is $62.55.
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Related Questions
The seasonal demand for a particular product is given below: Period 1 2 3 4 5 6 Demand 300 450 100 450 450 100 The fixed parameters are: Fixed Cost $8 Unit Production Cost $1 Holding Cost $ 1.3 Calculate total ordering cost using following three methods: i) Lot-for-Lot ii) Wagner-Whitin algorithm iii) Fixed order quantity
Answers
The ordering cost using the Lot-for-Lot method is 900.06.
How to calculate the cost?The ordering cost using the Lot-for-Lot method will be calculated thus:
C = Q/2(H) + D)Q(S)
C = 450/2(4) + 100/450(3)
C = 450(2) + 30/45
C = 900 + 0.7
C = 900.7
The ordering cost using Wagner-Whitin algorithm will be:
= 300 + 900 + 300 + 1700 + 2150 + 600
= 5750
The ordering cost using fixed order quantity will be:
= 6/(300 + 450 + 100 + 450 + 450 + 100)
= 6/1850
= 0.00324
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If a phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call , how much will a 20 minute long distance call cost ?
Answers
Answer: $7.10
Step-by-step explanation
1. mutiply 0.35 times 19 = 6.65
2. 0.45+6.65=7.1
It will cost $7.10 for a 20-minute-long-distance call.
have a good day
Answer:
$7.10
Step-by-step explanation:
Convert (87.1352) 10 to base 8
Answers
Answer:
It comes out to around 127
Step-by-step explanation:
Mr. Rodriguez is assembling supply kits for his students. He has 24 pencils and 32 erasers. All the kits must have the same number of each item, and all items must be used.
Check your work on Zearn.
1. What is the largest number of kits Mr. Rodriguez can make?
The largest number of kits Mr. Rodriguez can make is
kits.
2. How many pencils and erasers will be in each kit?
pencils and
erasers will be in each kit.
Answers
Answer:
1) 8
2) 3pencils 4erasers
Step-by-step explanation:
Layla is determining the area of the trapezoid. Her work is shown below.
A trapezoid has a base of 14 feet, height of 10 feet, and top side length of 8 feet.
Step 1: Break the figure into rectangles and triangles.
A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 feet and a height of 8 feet. The triangle has a base of 10 feet and a height of 6 feet.
Step 2: Find the area of the rectangle: 8 times 10 = 80.
Step 3: Find the area of the triangle: One-half times 6 times 8 = 24.
Step 4: Add the areas together: 80 + 24 = 104 square feet.
Which best describes Layla’s error?
The height of the triangle in Step 1 should be 4 ft.
The area of the triangle in Step 3 should be One-half times 6 times 10 = 30.
The area of the triangle is Step 3 should be halved because there is only one triangle.
The areas in Step 4 should be multiplied instead of added.
Answers
Answer:
the answer is B <3
Step-by-step explanation:
have a good day!
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Answer:
b
Step-by-step explanation:
Anny is not a very good driver, so she drives really slow. She normally drives at a speed of 50 miles per hour if it is not raining, and 30 miles per hour if it is raining. Today she drove in the sun in the morning and in the rain in the afternoon, for a total of 120 miles in 180 minutes. How many minutes did she drive in the rain?
Answers
Answer:
9.1s
Step-by-step explanation:
Since we know that velocity is uniformly decelerating, we can take the average velocity: Letting Vf equale 0 /ms, we get 1/2 21.8ms or 10.9ms. Now we know V = D/T and rearranging this gives T = D/V. Substitute our velocity of 10.9m/s for V and 99m for D: T = 99m/ 10.9ms. finally we get T = 9.1s
Hope This Helps :)
The time in which Anny drives in the rain is 90 minutes. This is calculated by using the speed-distance-time formula.
Relationship between distance, time, and speed:Speed is the ratio of distance traveled to the time taken for traveling.
Speed=distance/time
Unit: m/s
Given data:It is given that,
Anny drives at a speed of 50 miles per hour if it is not raining and drives at a speed of 30 miles per hour.
Today she drove in the sun in the morning and the rain in the afternoon, for a total of 120 miles in 180 minutes.
Calculation:Consider x be the time required to drive not in the rain and y be the time required to drive in the rain
So, the distance covered (not in the rain) = 50x (since the speed is 50 mile/h), and the distance covered (in the rain) =30y (since the speed is 30 miles/h)
Therefore, the total distance covered both in rain and without rain is:
50x+30y=120 (since the total distance she drove is 120 miles)
And the total time required for driving in rain and without rain is:
x + y=3 (since 180 minute = 3 hours)
On solving the above equations we get,
x=[tex]\frac{3}{2}[/tex] and y=[tex]\frac{3}{2}[/tex]
Then,
y=[tex]\frac{3}{2}[/tex]×60(minute)=90 minute
Therefore, the time taken for her to drive in rain is 90 minutes.
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a class has five students what is the probability that four of the students were born on a weekday
Answers
Answer:
0.3718688642
Step-by-step explanation:
Weekdays consist of 5 days and weekends consists of 2 days. ... In case if you do not know, there are 7 days in a week.
The probability of one student who were born on a weekday
= 5/7
The probability of one student who were born on a weekend
= 2/7
This question then can be solved by using the binomial distribution formula,
[tex]P(X = 4) = \binom{5}{4} { (\frac{5}{7}) }^{4} {( \frac{2}{7}) }^{1} \\ = 0.3718688642 [/tex]
Which of the following logarithmic equations is equivalent to the exponential
equation below?
e^x = 15.29
Answers
Answer:
Step-by-step explanation:
Natural log and the number 'e' are inverse to each other. Therefore, if you take the natural log of both sides, the exponential cancels and leaves 'x' isolated:
[tex]ln(e^x)=ln(15.29)[/tex]
[tex]x=ln(15.29)[/tex]
Let's solve for x
e^x=15.29So natural logarithm on both sides
[tex]\\ \rm\Rrightarrow x=ln(15.29)[/tex]
[tex]\\ \rm\Rrightarrow x=2.73[/tex]
The times taken to assemble a clock at a factory are approximately normally distributed with a given mean Mu = 3 hr and standard deviation Sigma = 0.5 hr. What percentage of the times are between 2 hr and 4 hr?
34%
47.5%
68%
95%
Answers
Answer:
It's D) 95%
Step-by-step explanation:
It's the correct answer
The percentage of the times are between 2 hours and 4 hours is 45.5%.
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
Given that, μ=3 hour, σ=0.5 and x1=2 hours and x2=4 hours.
We know that, Z=(x-μ)/σ
Here, Z1=(2-3)/0.5
Z1=-2 = -0.2275
Z2=(4-3)/0.5
Z2=2 = 0.2275
= 0.2275-(-0.2275)
= 0.2275+0.2275
= 0.455
= 45.5%
Therefore, the percentage of the times are between 2 hours and 4 hours is 45.5%.
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2(square-root of 80/5-5)
Answers
Step-by-step explanation:
√
4
2
⋅
5
5
Pull terms out from under the radical.
4
√
5
5
The result can be shown in multiple forms.
Exact Form:
4
√
5
5
Decimal Form:
1.78885438
Answer: -2
Step-by-step explanation: if you take the square root of 80/5, you get 4. Then, you take 4-5, which is -1.
2 x -1= -2
Hope it helps!
can anyone help me find x, please?
Answers
Answer:
86°
Step-by-step explanation:
Two sides of the triangle are equal
=> ∠A = ∠C
And since ∠A = 47°
=> ∠C = 47° & ∠B = x°
Now, according to Angle sum property of a triangle
=> ∠A + ∠B + ∠C = 180°
=> 47° + x + 47° = 180°
=> 94° + x = 180°
=> x = 180 - 94 = 86°
Therefore x = 86°
Find the value of x.
Answers
Answer:
x=60º
Step-by-step explanation:
Answer: x=60º
180º-60º=120º
2x=120º
divide by 2 on both sides
x=60º
What is the longest chord of a circle? All chords are the same length. The radius is the longest. There is no way to tell. The diameter is the longest.
Answers
Answer:
A diameter is the longest chord of a circle.
A company makes electronic components for TV's. 0% pass final inspection. 110 components are inspected in one day. What is the expected value of the number that fails inspection in one day?
a.
0
b.
110
c.
100%
d.
11
Please can you help me please don’t send for me link !
Answers
Answer:
C
Step-by-step explanation:
A line passes through point (4,-2) and has a slope of -5/4 in
Ax+By=C PLEASE
Answers
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{5}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-\cfrac{5}{4}}(x-\stackrel{x_1}{4})[/tex]
[tex]y+2=-\cfrac{5}{4}x+5\implies \stackrel{\textit{multplying both sides by }\stackrel{LCD}{4}}{4(y+2)=4\left( -\cfrac{5}{4}x+5 \right)}\implies 4y+8=-5x+20 \\\\\\ 5x+4y+8=20\implies 5x+4y=12[/tex]
Two angles of a triangle measure 37º and 54° respectively. Is this triangle acute, right or
obtuse?
Answers
the sum of interior angles for a triangle is 180°
so 54°+37°+x°=180
x=89°
since x does not equal 90° or above it is acute. (90° would make it a right triangle and larger than that would make it obtuse)
The volume of a rectangular prism is 200 cubic inches. If the area of the base is 20 square inches, what is the height of the prism?
Answers
Step-by-step explanation:
volume of rec. prism = area base × height
200 = 20 × height
height = 10 inch
If the volume of the pyramid is 12 cubic inches,
what is the height of the pyramid, in inches?
Answers
Answer:
6
Step-by-step explanation:
h=3(12/6)
Carolyn lives near two parks. Centennial Park is 2 km away and Canatara Park is 2,548 meters away. Canatara Park is located closer to Carolyn. Is this true or false?
True
False
Answers
Answer:
it is False
Step-by-step explanation: i also did this test
What is the probability of getting a head with the flip of a coin?What is the probability of getting a head with the flip of a coin?
Answers
1/2
hope it helps...!!!
the midsegment of the trapezoid is RT. set up and equation and solve for x
Answers
Step-by-step explanation:
since it is the midsegment, all involved and related line segments follow the 1/2 factor.
so, the length of the midsegment is precisely in the middle between the lengths of the top and bottom lines.
in the first drawing
22 = x + (x - 10)
22 = x + x - 10
32 = x + x = 2x
x = 16
in the second drawing
x = 15 + (15 - 8) = 15 + 7 = 22
A number cube has side lenghts of 1 1/4 inches. What is the volume, in cubic inches, of the number cube?
Answers
explanation:(3)= cubed
V=a(3)=1.25(3)≈1.95313
At Mr. Donald's farm, there are 35 chickens and 50 cows. What is the ratio of the number of cows to the number of chickens at Mr. Donald's farm?
Answers
Answer:
the ratio is 50:35 or 50 to 35 or 50/35
Step-by-step explanation:
What is the value of x?
The figure shows 2 right triangles, triangle R S T with right angle S and triangle Q R T with right angle R. The measure of angle R T S is 60 degrees. The measure of angle Q T R is 45 degrees. The length of side R S is 2 square root 3. The length of side Q R is x.
Answers
Answer: 4
Step-by-step explanation:
The length of QR(x) from the given figure is 4 units.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
From the given figure, QR=x, RS=2√3 units and ∠STR=60°.
We know that, sinθ= Opposite/Hypotenuse
sin60°=2√3/RT
√3/2=2√3/RT
RT=4 units
As we know, tanθ= Opposite/Adjacent
tan45°= x/4
1= x/4
x=4 units
Therefore, the length of QR(x) from the given figure is 4 units.
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What is the answer to 8 7/9 + 5 9/11
Answers
Answer: 14.596
Step-by-step explanation:
Hope this Answer Helps! if it helped please leave brainliest
can anyone tell me what (4 times a number is at least -12) i need help.
Answers
Answer:
-3
Step-by-step explanation:
4 times a number is at least -12
Substitute the missing number for x.
4x = -12
4x/4 = -12/4
x = -3
4 times -3 is at least -12.
hope this helps and is right!! p.s. i really need brainliest :)
Answer:
[tex]4x\geq -12\implies x\geq-3[/tex]
Step-by-step explanation:
Based only on the information given in the diagram, it is guaranteed that
ARST - AUVW
5
067
R
Л
w
A. True
B. False
Answers
Answer: True
Step-by-step explanation:
There are two pairs of congruent angles, meaning the triangles are similar by AA.
It is true that based on the given information triangle RST is similar to triangle UVW by the AA similarity postulate.
What are Similar triangles?Similar triangles are triangles that have the same shape but are different in size. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.
Here,
Since a figure is given with two triangles, RST and UVW.
From the figure, we can see that there are two angles that are equal, are given as;
∠R=∠U [measure is 67°]
∠T=∠W [measure is 90°]
Thus, it is true that based on the given information triangle RST is similar to triangle UVW by AA similarity postulate.
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Which of the following types of reproduction involve the cell cycle
Budding
Binary fission
Spore Formation
Answers
Is {(1,3),(2,4),(3,7),(4,13 )} a function?
Answers
Answer:
Yes
Step-by-step explanation:
The X of all the points show that it is a function because none of the X values are repeating.
What the man on top said ^
HHHEEELLLPPP MMMEEE PLEASE.
Given the equation y = -3x + 1/2 , what is the y-intercept?
-3
1/2
-1/2
3
Answers
Answer:
1/2
Step-by-step explanation:
C, 1/2
Step-by-step explanation:
Use the equation y = mx + b,
b is the y-intercept
m represents the slope
-3 = slope
1/2 = y-intercept
1/2 is your answer
hope this helps :) and that i got it right this time lol