Mathematics College

It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random sample of 9 adults are chosen. The average temperature of the 9 adults is only 98.1°F with a SD of 0.9°F. The question is whether the data on these 9 people is sufficient evidence to conclude that average body temperature among all healthy adults is really lower than 98.6°F. Assume the average body temperatures follow the normal curve.
1. Which significance test should be used?
a. z-test because the 50 of the population is known.
b. t-test because the SD of the population is known.
c. neither since it is untkely that temperatures would follow the nermal curve.
d. a t-test because the 50 of the sample is unknown.
e. a t-test because the SD of the pepulation is unknown.
Since the sample size is small and temperatures are lkely to be normaly distributed ether test may be used.
2. What is the null hypothesis?
A. That the average temperature in the population is 98.1 F.
B. That the average temperature in the pepulation is 98.6.
C. That the average temperature in the population is less than 98.6 F.
D. That the average temperature in the sample is 98.1.
3. What is the abernative hypothesis?
A. That the average temperature in the pepulation is 98.1 F.
B. That the average temperature in the population is 98.6F.
C. That the average temperature in the population is less than 98.6.
D. That the average temperabure in the sample is 98.17.
4. Compute SD.
5. Compute the best statistic.
6. How many degrees of freedom are there?

Answers

Answer 1

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

$\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9$

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample t-test will be used.

The correct option is b.

(2)

The null hypothesis is:

H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

$SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F$

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

$t=\frac{\bar x-\mu}{SD_{\bar x}}$

$=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67$

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

= 9 - 1

= 8

Thus, the degrees of freedom of the test is 8.

Answer 2

Testing the hypothesis, it is found that:

1. e. a t-test because the SD of the population is unknown.

2. B. That the average temperature in the population is 98.6.

3. C. That the average temperature in the population is less than 98.6.

4. The standard error is of 0.3.

5. The test statistic is t = -1.67

6. There are 8 df.

We have the standard deviation for the sample, hence, a t-test should be used.

At the null hypothesis, it is tested that the average body temperature among all healthy adults is of 98.6ºF, hence the answer to question 2 is b.

At the alternative hypothesis, it is tested if the average is lower, hence, the answer to question 3 is C.

In this problem:

The standard deviation of the sample is $s = 0.9$The sample has 9 adults, hence $n = 9$The sample mean is of $\overline{x} = 98.1$

The standard error is of:

$s_e = \frac{0.9}{\sqrt{9}} = 0.3$

The test statistic is:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 98.6$ is the value tested at the null hypothesis, hence:

$t = \frac{98.1 - 98.6}{0.3}$

$t = -1.67$

The amount of degrees of freedom is one less than the sample size, hence there are 8 df.

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Related Questions

PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what are 3 mathematical facts you can find in a rectangular prism?
For example,
1. You can find the surface area of the rectangular prism.
2. You can find the volume of a rectangular prism.
3. ???????????????????????????????????????????

Answers

Answer:

you can find the height of a rectangular prism

A large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 40 calls per hour. The service rate per line is 18 calls per hour.

Reqiured:
a. What is the probability that 0, 1, 2, and 3 access lines will be in use?
b. What is the probability that an agent will be denied access to the system?
c. What is the average number of acess lines in use?

Answers

Answer:

Part A:

$P_0=0.13298\\P_1=0.29547\\P_2=0.328320\\P_3=0.24321$

Part B:

$P_3=0.24321$

Part C:

$Average\ Number:=1.6817$

Step-by-step explanation:

Given data:

Mean =μ= 40 calls

Service Rate=λ=18 calls

Solution:

Formula:

$P_i=\frac{\frac {(\frac{\mu}{\lambda}) ^{i} }{i!} }{\sum \frac {(\frac{\mu}{\lambda}) ^{i} }{i!}}$

Where i is access lines

Part A:

Probability of 0 access line, i=0:

$P_0=\frac{\frac {(\frac{40}{18}) ^{0} }{0!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}$

$P_0=\frac{1}{1+2.222+2.4691+1.8290}$

$P_0=0.13298$

Probability of 1 access line, i=1:

$P_1=\frac{\frac {(\frac{40}{18}) ^{1} }{1!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}$

$P_1=\frac{2.222}{1+2.222+2.4691+1.8290}\\P_1=0.29547$

Probability of 2 access line, i=2:

$P_2=\frac{\frac {(\frac{40}{18}) ^{2} }{2!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}$

$P_1=\frac{2.4691}{1+2.222+2.4691+1.8290}\\P_2=0.328320$

Probability of 3 access line, i=3:

$P_3=\frac{\frac {(\frac{40}{18}) ^{3} }{3!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}\\P_3=\frac{1.8290}{1+2.222+2.4691+1.8290}\\P_3=0.24321$

Part 2:

Only 3 users can access simultaneously, denied Probability is P_3(4th access line)

$P_3=0.24321$

Part 3:

Average Number:

$Average\ Number:\frac{\mu}{\lambda} (1-P_3)\\Average\ Number:\frac{40}{18} (1-0.24321)\\\\Average\ Number:=1.6817$

$ \rm\int_{0}^{2021} \frac{ \sqrt{x + \sqrt{x + \sqrt{x + \sqrt{x} + \cdots } } } }{1 + \sqrt{x - \sqrt{x - \sqrt{x - \sqrt{x - \cdots} } } } } dx \\ $

Answers

We have the identity

$(a + b)^2 = a^2 + 2ab + b^2 = a^2 + ab + b (a + b) \\\\ ~~~~ \implies a + b = \sqrt{a^2 + ab + b (a + b)} \\\\ ~~~~ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}$

assuming $a+b\ge0$.

For the numerator, let $b=1$, so $a\ge-1$, which means

$a^2 + a = x \implies a = \dfrac{-1 + \sqrt{1 + 4x}}2$

and so

$\sqrt{x + \sqrt{x + \sqrt{x + \sqrt{\cdots}}}} = \dfrac{-1 + \sqrt{1 + 4x}}2 + 1 = \dfrac{1 + \sqrt{1 + 4x}}2$

For the denominator, let $b=-1$ so that $a\ge1$. Now

$a^2 - a = x \implies a = \dfrac{1 + \sqrt{1 + 4x}}2$

so that

$\sqrt{x - \sqrt{x - \sqrt{x - \sqrt{\cdots}}}} = \dfrac{1 + \sqrt{1 + 4x}}2 - 1 = \dfrac{-1 + \sqrt{1 + 4x}}2$

So, in the integral we can simplify and evaluate it to

$\displaystyle \int_0^{2021} \frac{\sqrt{x + \sqrt{x + \sqrt{x + \sqrt{\cdots}}}}}{1 + \sqrt{x - \sqrt{x - \sqrt{x - \sqrt{\cdots}}}}} \, dx \\\\ ~~~~~~~~ = \int_0^{2021} \frac{\frac{1 + \sqrt{1 + 4x}}2}{1 - \frac{1 - \sqrt{1+4x}}2} \, dx \\\\ ~~~~~~~~ = \int_0^{2021} \frac{1 + \sqrt{1 + 4x}}{1 + \sqrt{1 + 4x}} \, dx \\\\ ~~~~~~~~ = \int_0^{2021} dx = \boxed{2021}$

Select the correct answer.Which expression is equivalent to 3V2y3 . 7/18y, if y> 0?OA. 215/207OB. 2172/67Oc. 63y/2yOD. 126y2

Answers

$3\sqrt[]{2y^3}.7\sqrt[]{18y}$

We will start with 3 x 7 = 21

$\sqrt[]{2y^3}\times\sqrt[]{18y}=\sqrt[]{2y^3\times18y}$

Multiply the values under the root

$\sqrt[]{(2\times18)(y^3\times y)}=\sqrt[]{36y^4}$

Square root 36 = 6 and square root y^4 = y^2

$\sqrt[]{36y^4}=6y^2$

Then multiply 21 by 6y^2

$21\times6y^2=126y^2$

The answer is D

PLEASE HELLP ASAP!!!

Answers

The quadratic function graphed is defined as follows:

y = x² - 10x + 9.

How to define the function?

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

From the graph, the roots are given as follows:

x = 1 and x = 9.

Hence the function as a product of it's linear factors is defined as follows:

y = a(x - 1)(x - 9)

y = a(x² - 10x + 9).

When x = 5, y = -16, hence the leading coefficient a is obtained as follows:

-16 = a(5² - 10(5) + 9)

-16a = -16

a = 1.

Thus the function is:

y = x² - 10x + 9.

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What formula did you use to solve this ?

Answers

Answer:

What do you mean by this I don't get the question you are asking?

Step-by-step explanation:

Answer:

what I have to solve for give proper question

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Use alpha = 0.05.
1. The test statistic is a:____.
a. 1.96.
b. 1.64.
c. 2.00.
d. 0.056.
2. The p-value is:____.
a. 0.0456.
b. 0.0482.
c. 0.4772.
d. 0.9759.
e. 0.9772.
3. At the 5% level, you:___.
a. fail to reject the null hypothesis.
b. reject the null hypothesis.
4. Compute the probability of a Type II Error when mu = 2.8.

Answers

Answer:

Step-by-step explanation:

A wire that is centimeters long is shown below.

The wire is cut into two pieces, and each piece is bent and formed into the shape of a square.

Answers

Using properties of square,

a. Equation for total area = 2x² - 16x + 64

b. Area will be minimum for the value of x = 0

c. Minimum area will be 64cm².

Define a square?

With four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. The equal sides and 90° internal angles of each square form serve as indicators of its identity.

Total length of wire = 32cm.

Now side of one square is given as x.

Perimeter of big square will be = 4x.

Now perimeter of small square = 32- 4x.

Side of small square = (32-4x)/4

= 4(8-x)/4

= 8-x

Area of big square = x × x

= x².

Area of small square = (8-x) ².

Now Total area, A(x) = x² + (8-x) ²

= x² + 64 + x² - 16x

= 2x² - 16x + 64

The side length that will minimize the area will be, x = 0.

Minimum area of the total figure will be = 64cm²

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URGENT!!!PLEASE HELP! PLEASE PLEASE!

Choose the number below that fits into the following number sets:

Natural Number

Whole Number

Integer

A. -½

B. 4.9

C. π

D. 6

Answers

Answer:

d) 6

Step-by-step explanation:

natural number = +ve numbers, so -1/2 is out

4.9 and π arent whole numbers nor intergers

bonsoir pouvez vous m'aidez

Answers

Answer:

Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.

Eric uses 7 gallons of gas to drive 196 miles. How many miles can he
drive using 1 gallon of gas?

Answers

Answer:

28mpg

Step-by-step explanation:

eric uses 7 gallons

drive=196 miles

196miles ÷ 7 gallons = 28mpg

eric can drive 28 miles using 1 gallon of gas

A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT

A-2+Which graph represents thefunction y = tan x?B2T2TD-2+1214+2T2T

Answers

The graph that represents the function y= tanx is Option A.

What is the description of the above function?

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and negative infinity, creating a wave- like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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pls help me i will give u thanks

Answers

(+6,+5)
Hope this helps!!

Answer:

c) (6,5)

Step-by-step explanation:

The horizontal axis represents x values

The vertical axis represents y values

A new bakery offers decorated sheet cakes for children’s birthday parties and other special occasions. The bakery wants the volume of a small cake to be 351 cubic inches. The cake is in the shape of a rectangular solid. They want the length of the cake to be four inches longer than the width of the cake and the height of the cake to be one-third of the width. What should the dimensions of the cake pan be?

answer me and I will brainiest you

Answers

Answer: The sheet cake pan should have dimensions 13 inches by 9 inches by 3 inches.

Find the median for the given sample data.
The distances (in miles) driven in the past week by each of a company's sales representatives are listed below.
78 126 238 284 310 356
Find the median distance driven.
A. 261 mi
B. 238 mi.
C. 198.50 mi.
D. 284 mi.

Answers

Answer:

d = 261 miles

Step-by-step explanation:

Given that,

The distances (in miles) driven in the past week by each of a company's sales representatives are listed below.

78 126 238 284 310 356

We need to find the median of the distances.

There are 6 data. If n is even,

$median =\dfrac{\dfrac{n}{2}^{th}+(\dfrac{n}{2}+1)^{th}}{2}\\\\median =\dfrac{\dfrac{6}{2}^{th}+(\dfrac{6}{2}+1)^{th}}{2}\\\\=\dfrac{3^{rd}+4^{th}}{2}\\\\=\dfrac{238+284}{2}\\\\=261\ mi$

So, the median distance is 261 miles.

16) Solve for side AB.
AB-
Round your answer to the nearest hundredth.

A) 5.45
B) 6.45
C) 7.45

Answers

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20) = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB= 7.45

In this triangle, side AB is the hypotenuse.

In order to find the hypotenuse, we can use the trigonometric function “cosine”,
since.

Cosine =
Adjacent side (which is 7) / hypotenuse

Cos(50) = 7 / AB

AB = 7 / Cos(50)

AB = 10.89006678802289

AB ≈ 10.89

Have a good day ^^

7 + 2 + 5 + 1 +5=?

hmmmmmmmmmmm

Answers

Answer:

20.. ... ...... .. ........

1 dollar bill is 6.14 inches long 2.61 wide and 0.00043 thick. If you had 1 billion in 100 dollar bills the the number of bills would be

Answers

The number of 100 dollar bills in one billion dollars is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

$:$$\frac{1\text{ billion}}{100}=10\text{ million}$$$

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:$$$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$$

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:$$$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$$

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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write the english phrase as an algebraic expression. Let x represent the number

Answers

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

Writing the english phrase as an algebraic expression

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

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

Answers

Given statement solution is :- Math Proficiency conceptual knowledge involves understanding the fundamental concept of division and its relationship to fractions, enabling flexibility in solving division problems with different fractions. Procedural knowledge, on the other hand, focuses on following a specific set of steps to achieve a correct solution without necessarily comprehending the underlying concept.

3.1 Activity: Procedural and Conceptual Understanding in Action

Content Area: Fractions

Problem: Comparing Fractions

Objective: Students will demonstrate both procedural and conceptual understanding of comparing fractions.

Activity Steps:

Begin by introducing the concept of fractions and reviewing the basic procedures for comparing fractions (e.g., finding a common denominator, cross-multiplying).

Provide students with a set of fraction comparison problems (e.g., 2/3 vs. 3/4, 5/8 vs. 7/12) and ask them to solve the problems using the traditional procedural approach.

After students have solved the problems procedurally, engage them in a group discussion to explore the underlying concepts and relationships between fractions. Ask questions such as:

What does it mean for one fraction to be greater than or less than another?

Can you explain why we need a common denominator when comparing fractions?

How can you visually represent and compare fractions to better understand their relative sizes?

Introduce visual aids, such as fraction bars or manipulatives, to help students visualize the fractions and compare them conceptually. Encourage students to reason and explain their thinking.

Have students revisit the fraction comparison problems and solve them again, this time using the conceptual understanding gained from the group discussion and visual aids.

Compare the students' procedural solutions with their conceptual solutions, and discuss the similarities and differences.

Conclude the activity by emphasizing the importance of both procedural and conceptual understanding in solving fraction comparison problems effectively.

By incorporating both procedural and conceptual approaches, this activity allows students to develop a deeper understanding of comparing fractions. The procedural approach provides them with the necessary steps to solve problems efficiently, while the conceptual approach helps them grasp the underlying principles and relationships involved in fraction comparison.

3.2 Example: Conceptual Knowledge vs. Procedural Knowledge

Conceptual knowledge refers to the understanding of underlying concepts, principles, and relationships within a domain, whereas procedural knowledge focuses on knowing the specific steps or procedures to perform a task without necessarily understanding the underlying concepts.

Example: Division of Fractions

Conceptual Knowledge: Understanding the concept of division as the inverse operation of multiplication, and recognizing that dividing fractions is equivalent to multiplying by the reciprocal of the divisor. This understanding allows for generalization and application of division concepts to various fractions.

Procedural Knowledge: Following the specific steps to divide fractions, such as "invert the divisor and multiply" or "keep-change-flip" method. This knowledge involves applying the procedure without necessarily grasping the underlying concept or reasoning behind it.

In this example, Math Proficiency conceptual knowledge involves understanding the fundamental concept of division and its relationship to fractions, enabling flexibility in solving division problems with different fractions. Procedural knowledge, on the other hand, focuses on following a specific set of steps to achieve a correct solution without necessarily comprehending the underlying concept.

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SUSTAINIBILTY COUNTS! ENERGY CHALLENGE WHAT TO DO: COMPARITIVE STUDY OF CONSECUTIVE ELECTRIC BILLS o of post summer break with all calculations.

SUSTAINIBILTY COUNTS! ENERGY CHALLENGE
WHAT TO DO: COMPARITIVE STUDY OF CONSECUTIVE ELECTRIC BILLS HOW TO DO: 1) Examine your electricity bills of pre summer break.
2) List the various electrical appliances used in your home.
3) Find out the power consumption, duration for the device in use.
Do estimate calculation of your bills as per power consumption.
4) Make an energy reduction plan and determine how far you could implement it.
5) Re – examine your electricity bill of post summer break with all calculations.
6) WRITE your reduction plan & change in the bill.

Answers

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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A square with an area of 64 cm² is reduced by a factor of 1/4 how long are the new sides of the square

Answers

Answer: The answer is 4cm

Step-by-step explanation:

64x1/4 = 16cm2

x2=16

x=4

so the answer is 4cm

hope this helps:)

what is the horizantal distance of triangle ced?

Answers

Answer is C, 8.

Count the squares on the bottom line which is the only one that is horizontal.

the correct answer is C , number 8

which of the following sampling strategies makes it difficult to discern what sub-population the sample represents?

Answers

Convenience sampling represents the sub-population of the sample strategies.

Convenience sampling is defined as a type of non-probability sampling that involves the sample being drawn from that part of the population that is close to hand and is a type of sampling that is most useful for pilot testing.

Convenience sampling can be used by almost anyone and has been around for generations. One of the reasons that it is most often used is due to the numerous advantages it provides

Expedited data collection, Ease of research, Ready availability, Cost-effectiveness.

Bias, Power is the disadvantages of convenience sampling.

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Which expression is equal to (x+2)(x−4)(x−4)(x+4)?

x+2x+4

x−2x+4

x−2x−4

x+4x+2

Answers

Answer:Since the expression on each side of the equation has the same denominator, the numerators must be equal.

Take the square root of both sides of the equation to eliminate the exponent on the left side.

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The complete solution is the result of both the positive and negative portions of the solution.

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Exclude the solutions that do not make

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true.

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Step-by-step explanation:

4 3/8 + 5 1/2= in fractions

Answers

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

What is the value of x? Enter your answer in the box. x =

Answers

The value of x from the given isosceles triangle is 8 units.

The measures of sides of triangle are given AB=4x-10, AC=5x-22 and BC=3x+2.

What is an isosceles triangle?

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

Here, AC = BC

⇒ 5x-22 = 3x+2

⇒ 5x-3x = 22+2

⇒ 3x = 24

⇒ x = 8 units

Therefore, the value of x from the given isosceles triangle is 8 units.

To learn more about an isosceles triangle visit:

https://brainly.com/question/10147636.

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Quadrilateral A'B'C'D'is the result of rotating quadrilateral ABCD by 60° about the origin.

Choose all answers that apply

a. BC and B'C' are both parallel to the y-axis
b. <B and <B' have the same measures
c. D and D' have the same coordinates
d. none of the above