Can someone help me please

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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Answer:

p(f)=5f-200

Step-by-step explanation:

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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

It will take 50 minutes!

-378/7=-54

2700/-54=-50

Answer:

3/32

Step-by-step explanation:

9/16 × 3/4=27/144=3/16×1/2=3/32

Answer:

y = 4n^2

Step-by-step explanation:

Because m = 2n, and y = m^2, then substitute m = 2n into y equation, can get y = (2n)^2 = 4n^2.

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]

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]

Answer:

5x^2 - 2x + 4

Step-by-step explanation:

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.

Answer:

Step-by-step explanation:

number of elements in set A=5

number of elements in set B=5

so they are equivalent.

Answer:

2 whole and 1/8

Step-by-step explanation:

Find out the total pounds of strawberries for the 4 containers.

4/8 + 2/8 + 5/8 + 6/8 = 17/8

17/8 = 2 whole and 1/8

Answer:

2 1/8

Step-by-step explanation:

4/8+2/8+5/8+6/8=17/8

17/8 as a mixed number is 2 1/8

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

Answer:

26904

Step-by-step explanation:

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

The statements to determine the area of the polygon by division into triangles are evaluated as follows;

From 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;

https://brainly.com/question/17589084

Answer:

midline = 1.5

Step-by-step explanation:

f(x) = d + a*cos (bx+c)

a = amplitude

b = part of the period

c = horizontal shift

d = vertical shift (midline location)

d = 1.5

Answer:

1.5

Step-by-step explanation:

1.5

Answer: C. 2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

11 maybe

Step-by-step explanation:

cant recheck the test

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.

Answer:

5)

y= x+8

table:

you must sum 10, 11 ecc... to 8 to to get all the y

10+8= 18

19

20

21

22

23

6:)

y=x+50

It's the same as above

10. 20. 30. 40. 50

60. 70. 80. 90. 100.

i can't make the graph here sorry :(

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!!!!!

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

Answer:

B

Step-by-step explanation:

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

Answer:

Solution Set: (-2,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If diameter is 6 then the radius is half of that or 3.

A = pi * r^2

A = pi * 3^2

A = 9pi ft^2

Answer:

In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

Step-by-step explanation:

hope it helps :)))