What are the solutions to the equation x2-12x + 20 = –20?

The mean of the discrete distribution that models this situation is of 2.98.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Considering the table, the probability distribution is given by:

Hence the mean is given by:

E(X) = 4 x 0.4 + 3 x 0.32 + 2 x 0.17 + 1 x 0.08 + 0 x 0.03 = 2.98.

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Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

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Answer:

1 inch

Step-by-step explanation:

Equation:

2/9.4 = x/4.7

9.4 = 9.4x

x = 1

-Chetan K

Answer:

John attempted 500 passes.

Step-by-step explanation:

350 / x = 70%

350 = 0.7x

x = 500

Answer:

13-6=7

Step-by-step explanation:

lol

Answer:

it equals 7

Step-by-step explanation:

The proportion equivalent with Two-thirds would be 6/9.

Since we know that the proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that the  proportion with Two-thirds

If you actually divide it’ll make since , so first  we want to divide the 2 , then you want to multiply the third of the two

2/3 x 3/3

6/9

thus, the answer will be 6/9.

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Answer:

connect the dots (0, -5) and (5, -10).

Answer:

D:

Null: Pf = Ps

Alternative: Pf > Ps

Step-by-step explanation:

Hypothesis test is the test which uses the random sample data to evaluate that whether the null hypothesis to reject or accept.The null and alternate hypothesis for the given question is,

\(H_0:P_f=P_s\)

\(H_a:P_f>P_s\)

Hence the option D is the correct option.

\(P_p\) represent the proportion of all Friday night calls.

\(P_s\) represent the proportion of all Sunday night calls.

Hypothesis test is the test which uses the random sample data to evaluate that whether the null hypothesis to reject or accept.

As part of investigation the police taken the random sample of the Friday night and the Saturday night phone calls.

Null hypothesis \((H_0)\) states that the parameter of two proportion are are equal to the hypothesis value.  If the proportion of all Friday night calls and proportion of all Sunday night calls is equal. Then the Null hypothesis for the investigation is,

\(H_0:P_f=P_s\)

The alternate hypothesis states that the population parameter is smaller greater or must be different than the hypothesis value.The alternate hypothesis for the given question,

\(H_a:P_f>P_s\)

Thus the null and alternate hypothesis for the given quyestion is,

\(H_0:P_f=P_s\)

\(H_a:P_f>P_s\)

Hence the option D is the correct option.

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The range of the absolute value function y = |x| is all non-negative numbers, which can be expressed as [0, ∞).

The absolute value function is a type of mathematical function that measures the distance between a given number and zero. It is denoted by two vertical bars surrounding the number or expression.

The range of the absolute value function is the set of all non-negative numbers. This is because the absolute value of any number is always a positive number or zero.

For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.This means that the output of the function can never be negative and can range from zero to infinity.

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The range of the absolute value function below is C. f(x) < 1.

The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function. Domain→ Function →Range.

The range of a function is the set of all its outputs. Example: Let us consider the function f: A→ B, where f(x) = 2x and each of A and B = {set of natural numbers}.

The function y=|ax+b| is defined for all real numbers. So, the domain of the absolute value function is the set of all real numbers. The absolute value of a number always results in a non-negative value.

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What is the range of the absolute value function below?

f(x) > -4

f(x) > -1

f(x) < 1

f(x) < 4

Answer:

0.8015

Step-by-step explanation:

Hope I'm correct lol

Answer:

4 , 24 , 144 , 864 , 5184

This is a sequence which is multiplied by 6 with the new digit.

First: 4

second: 4 * 6 = 24

third: 24 * 6 = 144

fourth: 144 * 6 = 864

fifth: 864* 6 = 5184

sixth: 5184 * 6 = 31104

seventh: 31104 * 6 = 186624

This sequence is never ending. Write the first 5 five in sequence that's the answer.

To find the area of the composite figure:-

We can use following methods-

1. Decompose the figure into one rectangle and one triangle and add the area.

2. Decompose the figure into two trapezoids and add the area.

3. Find the area of the larger rectangle, then subtract the area of the two small triangle

"It is shape that is made up of two or more geometric shapes"

A = 1/2 × b × h

where b is the base of the triangle and 'h' is the height of the triangle

A = l × w

where l = length of the rectangle

w = width of the rectangle

For given example,

We need to find the area of the composite figure.

To find the area of the composite figure:-

We can follow-

1. Decompose the figure into one rectangle and one triangle and add the area.

2. Decompose the figure into two trapezoids and add the area.

3. Find the area of the larger rectangle, then subtract the area of the two small triangle

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Answer: A, B, and D

Step-by-step explanation:

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

When the foreign currency is the functional currency, FASB ASC 830-30-45-3 offers guidelines on how to report the translation adjustment for a foreign subsidiary. It specifies that the translation adjustment shall be included in cumulative other comprehensive revenue.

As per the question given,  

There are multiple sections in the FASB Accounting Standards Codification that address accounting for translation adjustments. One relevant section is ASC 830-30-35-2, which states that the cumulative translation adjustment should be reported in accumulated other comprehensive income (AOCI) as a separate component of equity. The section also provides guidance on how to reclassify amounts from AOCI to net income in the event of a partial or complete disposal of the foreign subsidiary.

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Answer:

SA = 270 ft²

Step-by-step explanation:

SA = 2(12×5)/2 + (7×5) + (13×7) + (12×7)

SA = (12×5) + (7×5) + (13×7) + (12×7)

SA = 60 + 35 + 91 + 84

SA = 270 ft²

Answer:

7/21

Step-by-step explanation:

14/42

Divide the top and bottom by 7

14/7 =2

42/7 = 6

2/6 = 1/3

We need a ratio that is 1/3

7/21

Divide by 7

1/3

Step-by-step explanation:

no need for a picture, when all the data is specified.

the volume of a cone is

pi × r² × height / 3 = pi×5²×3/3 = pi×25 = 78.53981634... in³

≈ 78.54 in³

Answer: True

Step-by-step explanation:

In triangles MNP and QRS:

NP=RS (hypotenuses);

∠P=∠S (acute angles).

Then, triangles MNP and PRS are congruent by HA theorem.

which makes the answer true

Answer:

True

Step-by-step explanation:

I just took the test, A-p-e-x

Answer:

X=-11

Step-by-step explanation:

-67+1=6x

6x=-66

x=-11

you cancel the 1 from the right side and add it to the left then divide -66 by 6

the answer is -11

Answer:

$3050.48

Step-by-step explanation:

If 4% is compounded quarterly, that means it's 1% every quarter. since we have 5 years, that's 1.01^20, which is approx. 1.2202. We multiply this by the orignal $2500, so our investment at the end of 5 years is $3050.48 (rounded to nearest cent)

The amount of money that Tia's investment would be worth at the end of 5 years is equal to $3050.5.

Given the following data:

To determine how much is the investment worth at the end of 5 years:

Mathematically, compound interest is given by the formula:

\(A = P(1 + \frac{r}{n})^{nt}\)

Where;

Substituting the given parameters into the formula, we have;

\(A = 2500(1 + \frac{0.04}{4})^{4\times 5}\\\\A = 2500(1 +0.01)^{20}\\\\A = 2500(1.01)^{20}\\\\A = 2500(1.2202)\)

Future value, A = $3050.5

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The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

From the question, we have the following parameters that can be used in our computation:

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.

The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.

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The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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2674 to the nearest hundred would be 2700

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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La forma usual se refiere al número expresado sin notación científica.

Para obtener la forma usual, solo tenemos que mover la coma decimal 8 lugares hacia la izquierda.

In mathematics, Euclid's three undefined terms are:

These terms are considered undefined because they cannot be defined in terms of simpler objects.

"Hugot" is a colloquial term in the Philippines that refers to a type of emotional expression, often expressed in the form of a quote or a line from a song or a movie.

The "hugot" line is meant to be a reflection of a personal feeling or experience and can be used to express longing, heartbreak, unrequited love, and other emotions.

Here are some hugot lines that illustrate these three undefined terms:

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Answer:

This is a ssa situation, no triangle is possible.

Step-by-step explanation:

"SSA" means "Side, Side, Angle".

In an SSA triangle, we are given two sides and an angle that is not the angle between the given sides.

In triangle ABC:

Given:

The angle that is between the sides a and b is angle C.

Therefore, as angle A is not the angle between the given sides, ΔABC is an SSA triangle.

Law of Sines

\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle B:

\(\implies \sf \dfrac{\sin 44^{\circ}}{12.6}=\dfrac{\sin B}{19}\)

\(\implies \sf \sin B=\dfrac{19\sin 44^{\circ}}{12.6}\)

\(\implies \sf \sin B=1.0475007...\)

As -1 ≤ sin B ≤ 1, there is no solution for angle B.

Therefore, although this is an SSA situation, no triangle is possible.

Answer:

y = \(\frac{4}{3} x\)

Step-by-step explanation:

The equation is y = \(\frac{4}{3} x\).   To draw the line, take two points (0, 0) and (3, 4).  You can draw a straight line connecting those points.

Answer:

Step-by-step explanation:

this woukd have to make y = \(\frac{4}{3}\)x in order for the rest to become proportional with the x axis. so im pretty sure this is correct

im not 100% on this one, because im going through something else right now, but im 87% sure that this is correct. hope this helped :)