Answer:
Answer is -7 Hope this helps :D
Step-by-step explanation:
Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are:
Monthly Natural Gas Consumption (cubic feet), Thickness of Insulation (inches), Outdoor Temperature (ºF),
y x1 x2
30.3 6.0 32.0
25.2 12 40
30.5 8 49
On the basis of the sample results, the regression equation is:
yˆ y^ = 57.25 − 1.07x1 − 0.64x2
According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.
The regression equation provided is:
ŷ = 57.25 - 1.07x1 - 0.64x2
Where:
ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)
x1 represents the Thickness of Insulation (inches)
x2 represents the Outdoor Temperature (ºF)
Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).
The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.
The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.
The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.
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Angel got 4 problems wrong on a test of 50 questions. What percent of the questions did he get CORRECT
Answer:
12.5%
Step-by-step explanation:
Answer:
92%
Step-by-step explanation:
50-4 = 46
46/50 *100 = 92%
PPT HELP !!!!!!!!!!!!11
Answer:
Step-by-step explanation:
a) 1 degrees Celsius (the line matches with that number)
b) -2 degrees Celsius
c) 3.5 degrees Celsius (since its between 3 and 4 its 3.5)
d) -0.5 degrees Celsius
e) the numbers will be going by 5s: (-20,-15,-10,-5, 0, 5, 10, 15, 20, 25)
I hope this makes sense and you understand it :)
Can someone help me with this problem number 4
Answer:
m = -11/7
Step-by-step explanation:
change equation into slope-intercept form:
7y = -11x + 2
y = -[tex]\frac{11}{7}[/tex]x + 2/7
slope is the coefficient of the 'x' term
I need help will mark you the brainliest
Answer:
i thinnk A
Step-by-step explanation:
can someone find the slope intercept equation for this plz thanks ill give brainliest
Answer:
y = -3/4x - 1
Step-by-step explanation:
it is
Simplify: -6(x + 5) show work plz
Answer:
The answer is -6x - 30
Step-by-step explanation:
1) Expand by distributing terms.
[tex] - 6x - 6 \times 5[/tex]
2) Simplify 6 × 5 to 30.
[tex] - 6x - 30[/tex]
Thus, the answer is -6x - 30.
Answer:
-6x - 30
Step-by-step explanation:
Multiply using the distributive property.
-6x - 30
Hope this helps
7)
Which could be solved for x?
-0)
A)
2x+2
B)
3(x+ 2)
)
D)
1 / 8x = 12
How many solutions does x2 - 2x + 9 = 0 have and what type are they? Do NOT find the
actual solutions.
Answer:
3
Step-by-step explanation:
Can someone please help me
Answer:
135ft^3
Step-by-step explanation:
Volume for triangular prism = 1/2bhl
v=1/2*6*5*9= 135
Please solve this math question.
Answer:
none of these
Step-by-step explanation:
the side lengths are are 2√5/5, 2, and 4.
sin(x) = opp/hyp
sin(x) = 2/2√5
Consider the expression
A cosine function has a period of 5π6, an amplitude of 6, and a vertical translation 5 units down. The function is not reflected over the x-axis.
What is the equation for this cosine function?
Answer:
The equation is "[tex]y=6 \ Cos(\frac{12}{5}x)-5[/tex]". A further explanation is described below.
Step-by-step explanation:
The given values are:
Period,
B = [tex]\frac{5 \pi}{6}[/tex]
= [tex]\frac{12}{5}[/tex]
Amplitude,
A = 6
Vertical translation down,
D = -5
As we know,
The equation of cosine function will be:
⇒ [tex]y=A \ Cos(Bx)+D[/tex]
On substituting the values in the above equation, we get
⇒ [tex]y=6 \ Cos(\frac{12}{5}x)+(-5)[/tex]
⇒ [tex]y=6 \ Cos(\frac{12}{5}x )-5[/tex]
Answer:
Step-by-step explanation:
the spinner above is used in a game. what is the theoretical probability of the given event with one spin? p(5)
a. 7/8
b. 1/8
c. 5/8
d. 0
The theoretical probability of the given event with one spin p(5) is,
⇒ p (5) = 1 / 8
What is mean by Probability?The word probability refers to the likelihood of an event occurring. Probability means possibility. And, It is branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
The spinner is used in a game.
Since, There are total 8 outcomes in spin.
Hence. The theoretical probability of the given event with one spin p(5) is,
⇒ p (5) = 1 / 8
Thus, The value of theoretical probability of the event with one spin p(5) is,
⇒ p (5) = 1 / 8
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15x^2+5x GCF help. out please
Answer:
5x is the GCF
Step-by-step explanation:
Simplify the following expression
6y + 8 - 2y + 5y - 9
Answer: 9y-1
:))))))))))))))))))))
What is the equation of the line that passes through the point (-6, -6) and has a
slope of - 1/3
Answer:
The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope of - 1/3
This means that [tex]m = -\frac{1}{3}[/tex]
So
[tex]y = -\frac{1}{3}x + b[/tex]
Through the point (-6, -6)
This means that when [tex]x = -6, y = -6[/tex]. So
[tex]y = -\frac{1}{3}x + b[/tex]
[tex]-6 = -\frac{1}{3}(-6) + b[/tex]
[tex]b + 2 = -6[/tex]
[tex]b = -8[/tex]
The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]
Write the linear inequality shown in the graph. The gray area represents the shaded region. y ≤ –x + 4 y ≤ –x – 4 y ≥ –x – 4 y ≥ –x + 4
For Example:
Write the linear inequality shown in the graph. The gray area represents the shaded region.
A. y ≤ 3x + 4
B. y ≤ 3x – 4
C. y ≥ 3x + 4
D. y ≥ 3x – 4
Answer: C
Step-by-step explanation:
1. The graph indicates that the line intersect the y-axis at -4.
2. Then, you must choose any point that are located within the region and replace them to see if the inequality is satisfied. Therefore, you have:
Point (0,2)
I hope this helps! :)
Sarah is redecorating her bedroom and wants to pack away some picture frames. She is using a box that has measurements of 7 1/2 inches long, 3 2/3 inches wide, and 4 1/4 inches tall for storing them.
Part A:
What is the volume of Sarah's box?
Part B:
Each picture frame has a volume of 2 1/2in. Using your findings in Part A, how many picture frames can Sarah fit in her box?
Answer:
A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3
35.5 + 10.7 + 10.3 = 56.5
B. 21÷2 = 10.5
56.5 ÷ 10.5 = 5.380952381
5 pictures frames
what expressions are equivalent to 10 - 12
Answer:
B
Step-by-step explanation:
(*￣3￣)╭ When subtracting they both equal the same of -2
Answer plz. I'll get my points back if you put something random.
Answer:
D.
Step-by-step explanation:
Because, 60% of 2.50 (the pre-assumed cost of pizza) is 1.50.
Tai has 1/2 gallon of milk left in his
refrigerator. He pours the milk into
glasses that can each hold a 5/64 gallon.
How many glasses can Tai fill
completely with milk?
Answer:
He can completely fill six glasses, and there will be one glass 2/5 of the way full.
Step-by-step explanation:
What is the value of x in the following equation?
7x + 5(2x – 10) = 69
Answer:
Step-by-step explanation:
7x+10x-50=69
17x=69+50
x=7
A normal six-sided die is thrown once. The number of outcomes in the sample space is
The number of outcomes in the sample space is 6.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
When you roll a 6 sided dice, number of dots on uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face that is now outcome.
So experiment here is "Rolling a 6 faced dice" and list of possible outcomes is "{1,2,3,4,5,6}".
Sample space by its definition is list of all the possible outcomes of an experiment.
S={1,2,3,4,5,6}
Hence, the number of outcomes in the sample space is 6.
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Solve for w. Only use numbers in your answer.
8w - 15 = 57
w =
Answer:
w = 9
Step-by-step explanation:
1. Add 15 from both sides: 8w = 72
2. Divide my 8: w = 9
Answer:
the answer for this question is 9
Write the equation of this circle in standard form.
Answer:
x² + y² = 16
Step-by-step explanation:
(x-h)² + (y-k)² = r² -- The standard form of equation of circle
(x-0)² + (y-0)² = 4²
PLEASE ANSWER ANY QUESTIONS ASAP THANK YOU SO MUCH
Covert 2/3 years to months
Answer:
7.9 or if you need to round it,it will be 8
Step-by-step explanation:
dont have a explanation nut i hopes this help.
What is the area? Write your answer as a fraction or as a whole or mixed number.
Answer:
81 or 20 1/4
Step-by-step explanation:
im not sure sorry
Answer:
[tex] \frac{1681}{4} [/tex]
or
[tex]105 \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]10 \frac{ + 1}{ \times 4} [/tex]
10×4=40+1=41, that will be your numerator (number at the top of the fraction) and the denominator 4 will stay the same. (bottom number)
[tex] \frac{41}{4} [/tex]
the base and the height will remain the same.
Formula : base × height = Area
[tex] \frac{41}{4} \times \frac{41}{4} = \frac{1681}{16} [/tex]
16 goes into 1681 105 times remainder 1.
so as a mixed number it will be
[tex] 105 \frac{1}{4} [/tex]
Which fraction has the larger value? *
-3/4
-1/2
Answer:
I'm thinking it's -1 / 2
Step-by-step explanation:
not sure how but
Answer:
-1/2
Step-by-step explanation:
Why? Because 1/2 is bigger than 3/4