Answer:
240 sq ft
Step-by-step explanation:
First turn the 8 yards to feet my multiplying by 3. You get 24.
Then
Add the bases together to get 40 Divide them by the number of bases (2) to get 20
Multiply the 20 by the height, (12) to get 240
240 sq feet
Mark me as brainliest if this helps!
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.
for such more question on regression equation
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Are the sets equivalent?
2) A = {17, 19, 21, 23, 25)
16.
B = {18, 20, 22, 24, 26}
Answer:
Step-by-step explanation:
number of elements in set A=5
number of elements in set B=5
so they are equivalent.
A farmers field has the dimensions 2 and 3/4 by 1 and 1/3. He needs to find the area of the field
Answer:
3 2/3 units²
Step-by-step explanation:
Since the field is rectangular in nature;
Area of the field = Length * Width
Given
Length = 2 3/4
Width = 1 1/3
Area of the field = 2 3/4 * 1 1/3
Area of the field = 11/4 * 4/3
Area of the field = 4/4 * 11/3
Area of the field = 1 * 11/3
Area of the field = 11/3
Area of the field = 3 2/3
Hence the area of the field is 3 2/3 units²
Two numbers have prime factors of 2, 3, 5, and 11 that they share. What is the greatest common factor of the two numbers?
Answer:
5
Step-by-step explanation:
liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29
Answer:
11 maybe
Step-by-step explanation:
cant recheck the test
Brainliest will be given ASAP question below!
Answer:
3/32
Step-by-step explanation:
9/16 × 3/4=27/144=3/16×1/2=3/32
Which of the following numbers is a perfect square?
1 489
2 485
3 490
4 484
Answer:
3490 is the perfect square
Answer:
490 is the correct answer
Step-by-step explanation:
B:
The usual monthly expenses of midas family is 3500.00 for their electric and and with bill, 10,
000 for house and 5,000.00 for their food. The rest of their income will be their savings How much
will be their savings if the couple both earn 10,000.00each
Answer:
$1,500
Step-by-step explanation:
Income - Expenses = Savings
Income = 2 × 10,000 = $20,000
Expenses = 3,500 + 10,000 + 5,000 = $18,500
$20,000 - $18,500 = $1,500 left for Savings
How do you get infinitely many solution?
Answer: I’m
Step-by-step explanation: I’d not knkw
3 units
8 units
9 units
13 units
21 units
What is the area of the figure in
square units.
Answer:
Area = 132 Square units
Step-by-step explanation:
Looking at the diagram, the top horizontal chord distance that's missing is calculated as;
21 - (9 + 3) = 9 units
Total distance of top horizontal chord = 9 + 3 = 12 units
Now, formula for area of trapezium is;
Area = ½(a + b)h
Where h is height = 8 units
The parallel sides are a & B.
In this case; a = 12 units
b = 21 units
Thus;
Area = ½(12 + 21)8
Area = 4 × 33
Area = 132 Square units
PLEASE SOMEONE HELP ME
Answer:
X=22
Step-by-step explanation:
90-68=22
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.78.
(a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85. (Round your answers to two decimal places.)
(b) Compute a 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)
(c) How large a sample size is necessary if the width of the 95% interval is to be 0.46? (Round your answer up to the nearest whole number.)
(d) What sample size is necessary to estimate true average porosity to within 0.18 with 99% confidence? (Round your answer up to the nearest whole number.)
Answer:
a) The 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85 is (4.46, 5.24).
b) The 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56 is (4.01, 5.11).
c) A sample size of 12 is needed.
d) A sample size of 125 is needed.
Step-by-step explanation:
(a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.78}{\sqrt{15}} = 0.39[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.85 - 0.39 = 4.46
The upper end of the interval is the sample mean added to M. So it is 4.85 + 0.39 = 5.24
The 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85 is (4.46, 5.24).
(b) Compute a 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{0.78}{\sqrt{11}} = 0.55[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.56 - 0.55 = 4.01
The upper end of the interval is the sample mean added to M. So it is 4.56 + 0.55 = 5.11
The 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56 is (4.01, 5.11).
(c) How large a sample size is necessary if the width of the 95% interval is to be 0.46?
95% CI means that [tex]z = 1.96[/tex]
A sample of n is needed, and n is found when M = 0.46. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.46 = 1.96\frac{0.78}{\sqrt{n}}[/tex]
[tex]0.46\sqrt{n} = 1.96*0.78[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.78}{0.46})^2[/tex]
[tex]n = 11.05[/tex]
Rounding up
A sample size of 12 is needed.
(d) What sample size is necessary to estimate true average porosity to within 0.18 with 99% confidence?
99% CI means that [tex]z = 2.575[/tex]
A sample of n is needed, and n is found when M = 0.18. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.18 = 2.575\frac{0.78}{\sqrt{n}}[/tex]
[tex]0.18\sqrt{n} = 2.575*0.78[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.78}{0.18})^2[/tex]
[tex]n = 124.5[/tex]
Rounding up
A sample size of 125 is needed.
1/4+9/14+5/7 in a simplify answer, or as a mixed number if possible.
Answer:
45/28
Step-by-step explanation:
Answer: 45/28 or 1 17/28
Step-by-step explanation: First find a common denominator for your fractions so you can express them in a similar way so;
1/4= 7/28
9/14= 18/28
5/7=20/28
(7+18+20)/28= 45/28
what is the quotient of the polynomials shown below? (10x^3+16x^2+16)÷(2x+4)
Answer:
5x^2 - 2x + 4
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
13 ft
Step-by-step explanation:
65/5
Answer:
13
Step-by-step explanation:
65÷5=13
na 5-day
a) in 1 hour
7. If you run a half marathon (21 km) in 2 hours 6 minutes, how
a) t
b) t
c)
does it take you to run one kilometre?
List the PROs and CONs of using coal as a power source.
Answer:
pros:Affordability,Known technologies,Safety.
cons:Greenhouse gas emissions,Mining destruction,Emission of harmful substances.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The pros of using coal as an energy souse is have alot of electicity and the con s of using coal as an energy souse is globlal warming, pollued air limited supply of coal in Earth
Pls Comment
Enter your answers in the boxes to correctly complete this statement. 6.184×105= because the number 105 has zeros when it is written without an exponent.+
Answer:
74.94×103= 3
because the number 10³ has
zeros when it is written without an exponent.
Step-by-step explanation:
74.94×103=
because the number 10³ has
zeros when it is written without an exponent.
3 zeros
Convert 3 pints into quarts.
Answer:
3 pints equals 1.5 liquid quarts
Step-by-step explanation:
You can use an online calculator or divide by 2!
Step-by-step explanation:
rrrerrrfjsjgzyxixpd7a
Suppose you can factor x^2 + bx + c as (x + p)(x + q). If c > 0, what could be possible values of p and q?
a. p = 5, q = -8
b. p = -2, q = 6
c. p = -4, q = -7
d. p = -13, q = 1
p could be 5 and q could be 8 this is just my guess but i think its right
p = - 4, q = -7, or in other words with the given choices above, option C. I hope this helps : ) I was working on this assignment earlier; this was a tough question, but I figured it out. If this is the same assignment I am thinking of, it should be alright. :D
find the area of the figure 27 1/2 yd and 17 1/5 yd
if the figure is a rectangle the answer is 473
Answer:
473
Step-by-step explanation:
First you need to make the fractions mixed numbers
27 1/2= 55/2
17 1/5= 86/5
Then you multiply across
55/2*86/5= 4730/10
then you divide 4730 by 10 to make it an improper fraction.
(because the denominator is 10 just take the 0 out of the end of 4630, this trick only works if the last number in the numerator is 0.)
And your anwser should be 473
I hope this helps!!!!!
1 point
At a cost of $200, your club bought 175 frisbees to sell at the pep rally. You plan on selling them for $5 each. Which of the following represents the profit function, P.
after selling a certain number of frisbees, f.
Answer:
p(f)=5f-200
Step-by-step explanation:
----------------
5x-2y=-20 and 5x-8y=-50 what is the ordered pair
Answer:
Solution Set: (-2,5)
Step-by-step explanation:
If if Spencer spent a total of $704.00 in the month of July, which is the best estimate for the amount of money he spent on clothing?
Answer:
[tex]Clothing = \$190.0[/tex]
Step-by-step explanation:
Given [Missing details]
Spencer's expenses
[tex]Clothing = 27\%[/tex]
[tex]Gasoline = 11\%[/tex]
[tex]Food = 44\%[/tex]
[tex]Entertainment = 18\%[/tex]
[tex]Total= \$704.00[/tex]
Required:
An estimate for the amount spent on clothing
To do this, simply multiply the clothing percentage by the total amount.
[tex]Clothing = 27\% * \$704.00[/tex]
[tex]Clothing = 0.27 * \$704.00[/tex]
[tex]Clothing = \$190.08[/tex]
Approximate
[tex]Clothing = \$190.0[/tex]
Which quadratic relation has a y-intercept of 8?
O y = 0.5(x + 2)(x + 4)
O y = 0.5 (x - 2)(+ 8)
O y = 0.5(x2 -2x - 16)
O y = 0.5 (x2 -2x + 16)
Answer:
y = 0.5 (x^2 -2x + 16) has a y-intercept of 8.
Step-by-step explanation:
The x-coordinate of every y-intercept is zero. To determine which of the four quadratics given here has a y-intercept of 8, we need only substitute 0 for x in each; if the result is 8, we've found the desired quadratic.
O y = 0.5(x + 2)(x + 4) becomes y = 0.5(2)(4) = 4 (reject this answer)
O y = 0.5 (x - 2)(x + 8) becomes y = 0.5(-2)(8) = -8 (reject)
O y = 0.5(x2 -2x - 16) becomes y = 0.5(-16) = -8 (reject)
O y = 0.5 (x2 -2x + 16) becomes y = 0.5(16) = 8 This is correct; that '8' represents the y-intercept (0, 8).
corresponding sides of similar triangles are 4cm and 3metres .What is the enlargement factor 'k'?
Answer:
[tex]k = 75[/tex]
Step-by-step explanation:
Given
Corresponding sides: 4cm and 3m
Required
Determine the enlargement factor
This is calculated as:
[tex]k = \frac{New}{Old}[/tex]
So:
[tex]k = \frac{3m}{4cm}[/tex]
Convert to cm
[tex]k = \frac{3*100cm}{4cm}[/tex]
[tex]k = \frac{300cm}{4cm}[/tex]
[tex]k = \frac{300}{4}[/tex]
[tex]k = 75[/tex]
What is the slope of a line that is perpendicular to the line y = 1/6+ 4
+4?
Answer:
y = 6x + 8?
Step-by-step explanation:
The starting equation was unclear but if its perpindecular, flip the given slope. For example, if the slope was 3/4, its perpindecular slope would be 4/3.
A probability experiment is conducted in which the sample space of the experiment is S={7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18}. Let event E={9, 10, 11, 12, 13, 14, 15, 16}, event F={5, 6, 7, 8, 9}, event G={9, 10, 11, 12}, and event H={2, 3, 4}. Assume that each outcome is equally likely. List the outcome s in For G. Now find P( For G) by counting the numb er of outcomes in For G. Determine P (For G ) using the General Addition Rule.
Answer:
[tex]F\ or\ G= \{5,6,7,8,9,10,11,12\}[/tex]
[tex]P(F\ or\ G) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]S= \{7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18\}[/tex]
[tex]E=\{9, 10, 11, 12, 13, 14, 15, 16\}[/tex]
[tex]F=\{5, 6, 7, 8, 9\}[/tex]
[tex]G=\{9, 10, 11, 12\}[/tex]
[tex]H=\{2, 3, 4\}.[/tex]
Solving (a): Outcomes of F or G
F or G is the list of items in F, G or F and G.
So:
[tex]F=\{5, 6, 7, 8, 9\}[/tex]
[tex]G=\{9, 10, 11, 12\}[/tex]
[tex]F\ or\ G= \{5,6,7,8,9,10,11,12\}[/tex]
Solving (b): P(F or G)
The general addition rule is:
[tex]P(F\ or\ G) = P(F) + P(G) - P(F\ and\ G)[/tex]
Where:
[tex]P(F) = \frac{n(F)}{n(S)} = \frac{5}{12}[/tex]
[tex]P(G) = \frac{n(G)}{n(S)} = \frac{4}{12}[/tex]
[tex]P(F\ and\ G) = \frac{n(F\ and\ G)}{n(S)}[/tex]
[tex]F\ and\ G = \{9\}[/tex]
So:
[tex]P(F\ and\ G) = \frac{1}{12}[/tex]
[tex]P(F\ or\ G) = P(F) + P(G) - P(F\ and\ G)[/tex]
[tex]P(F\ or\ G) = \frac{5}{12} + \frac{4}{12} - \frac{1}{12}[/tex]
[tex]P(F\ or\ G) = \frac{5+4-1}{12}[/tex]
[tex]P(F\ or\ G) = \frac{8}{12}[/tex]
[tex]P(F\ or\ G) = \frac{2}{3}[/tex]
Read each of the statements that describe possible decompositions of the polygon in the image into two triangles that can represent the area of the polygon For each statement, determine if "Yes, it is a possible decomposition" or "No, Is it not a possible decomposition and explain your reasoning.
Statement A: the area of triangle GHL plus of triangle HIJ
Statement B: the area of triangle GHK plus the area triangle HIK
Statement C: the area of triangle GHK plus the area of triangle ILK
Statement D: the area of triangle GHK plus the area of triangle ILK
The statements to determine the area of the polygon by division into triangles are evaluated as follows;
Statement A: the area of triangle GHL plus of triangle HIJ --NoStatement B: the area of triangle GHK plus the area triangle HIK --YesStatement C: the area of triangle GHK plus the area of triangle ILK. --NoStatement D: the area of triangle GHK plus the area of triangle ILK. --NoPolygons and TrianglesFrom the given description;
The polygon given can only be divided into two triangles if divided into triangles; GHK and HIK.
Hence, it follows that the area of triangle GHK plus the area triangle HIK is equivalent to the area of the given polygon.
Read more on Area of polygons;
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An airplane’s altitude changes −378 feet over 7 minutes. The airplane's current altitude is 2,700 feet.
Determine the number of minutes required for the plane to reach the ground.
Enter your answer in the box _______.
It will take 50 minutes!
-378/7=-54
2700/-54=-50