Write null and alternative hypothesis, test statics, p-value, and inference.

For Climate Change Beliefs, use variables: climate change and certainty.
For Class time use, use variables: income class, and sleeping.

Answers

Answer 1

The value of null and alternative hypothesis are change beliefs and certainty test statics, p-value, and inference are the null hypothesis and conclude that there is insufficient evidence to suggest a significant relationship.

Climate Change Beliefs:

Null Hypothesis (H0): There is no significant relationship between climate change beliefs and certainty.

Alternative Hypothesis (Ha): There is a significant relationship between climate change beliefs and certainty.

Test Statistic: Pearson's correlation coefficient (r)

The Pearson correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, we will use it to determine the relationship between climate change beliefs and certainty.

P-Value: The p-value is the probability of obtaining a test statistic as extreme as the observed value, assuming that the null hypothesis is true.

Inference: If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is a significant relationship between climate change beliefs and certainty. If the p-value is greater than the significance level, we fail to reject the null hypothesis and conclude that there is insufficient evidence to suggest a significant relationship.

Class Time Use:

Null Hypothesis (H0): There is no significant relationship between class time use, income class, and sleeping.

Alternative Hypothesis (Ha): There is a significant relationship between class time use, income class, and sleeping.

Test Statistic: Multiple regression analysis

Multiple regression analysis is used to determine the relationship between a dependent variable and two or more independent variables. In this case, class time use, income class, and sleeping will be the independent variables, and we will use it to determine the relationship with the dependent variable.

P-Value: The p-value is the probability of obtaining a test statistic as extreme as the observed value, assuming that the null hypothesis is true.

Inference: If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is a significant relationship between class time use, income class, and sleeping.

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Related Questions

What is 0 + 0? Please help I wont pass kinder garden :(

Answers

Answer:

Step-by-step explanation: 0+0=0

Answer:

0

Step-by-step explanation:

0+0= nothing that why.

on any day ,the probability that marcus will get a seat on the schoo bus is 0.93 . what is the probability that he does not get a seat on the school bus?

Answers

Marcus not getting a seat on the school bus is therefore 0.07 or 7% likely as 0.07 percent of people will not receive a seat .

what is probability ?

The prospect of an event happening is assessed by probability. It is a number between zero and 1, where 0 denotes an improbable occurrence and 1 denotes a certain occurrence. For instance, if we flip a fair coin, the odds of obtaining heads are 0.5, or 50%, and the odds of receiving tails are also 0.5, or 50%. In each case, there are various ways to compute probability. In general, if an event has n equally possible results and k of them are favourable, the likelihood that the event will occur is: Event P = k/n . All possible outcomes are thought to be equally likely under what is referred to as the classical probability.

given

Simply put, the likelihood that Marcus won't obtain a seat on the school bus is the complement of the likelihood that he will.

By deducting the probability from 1, one can determine the complement of a probability. So:

Chance of not being seated equals one less than the likelihood of being seated.

The likelihood of not getting a seat is equal to 1 - 0.93.

0.07 percent of people will not receive a seat.

Marcus not getting a seat on the school bus is therefore 0.07 or 7% likely as 0.07 percent of people will not receive a seat .

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one two 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Answers

Answer:

31

Step-by-step explanation:

the next number is 31 in this series

A specific radioactive substance follows a continuous exponential decay model. It has a half-life of 16 days. At the start of the experiment, 65.7 g is present.
(a) Lett be the time (in days) since the start of the experiment, and let
y be the amount of the substance at time t.
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
y = ei
(b) How much will be present in 13 days?
Do not round any intermediate computations, and round your
answer to the nearest tenth.
08
X
Oina
3

Answers

Answer:

Step-by-step explanation:

(a) Lett be the time (in days) since the start of the experiment, and let

y be the amount of the substance at time t.

Write a formula relating y to t.

Use exact expressions to fill in the missing parts of the formula.

Do not use approximations.

y = ei

Answer: (a) The formula relating the amount of substance, y, to time, t, is given by:

y = y₀ * e^(-λ*t)

where y₀ is the initial amount of the substance, λ is the decay constant, and e is the mathematical constant approximately equal to 2.71828.

The half-life, T½, is related to the decay constant as:

T½ = ln(2)/λ

We are given that the half-life of the substance is 16 days, so we can solve for λ:

λ = ln(2)/T½ = ln(2)/16

Substituting this value of λ in the formula for y, we get:

y = 65.7 * e^(-ln(2)*t/16)

(b) To find the amount of substance present after 13 days, we substitute t = 13 in the formula for y:

y = 65.7 * e^(-ln(2)*13/16) ≈ 42.1

Rounding to the nearest tenth, we get y ≈ 42.1 g. Therefore, approximately 42.1 g of the substance will be present after 13 days.

Step-by-step explanation:

A scientist has two solutions, which she has labeled solution a and solution
b. each contains salt. she knows that solution a is 65% salt and solution b is 80% salt. she wants to obtain 150 ounces of a mixture that is 70% salt. how many ounces of each solution should she use?

Answers

Let x be the number of ounces of solution a and y be the number of ounces of solution b.

We know that the total amount of mixture needed is 150 ounces, so we can write:
x + y = 150

To achieve a 70% salt mixture, we can write the equation:
0.65x + 0.8y = 0.7(150)

To solve for x and y, we can use substitution or elimination. Let's use substitution to solve for x.

From the first equation, we have:
x = 150 - y

Substituting this into the second equation:
0.65(150 - y) + 0.8y = 105

Simplifying:
97.5 - 0.65y + 0.8y = 105
0.15y = 7.5
y = 50

Now that we know y, we can find x using either of the original equations:
x + y = 150
x + 50 = 150
x = 100

Therefore, the scientist should use 100 ounces of solution a and 50 ounces of solution b to obtain 150 ounces of a mixture that is 70% salt.

Plssss help me quickly

Answers

Answer:

36

Step-by-step explanation:

First you calculate the area of the rectangle. then you substract the area of the triangle.

The area of a rectangle is equal to the product of its length and breadth. In other words, if the length of a rectangle is ‘l’ and its breadth is ‘b’, then its area ‘A’ can be calculated as A = l x b= 6*8= 48

The area of a triangle can be calculated using the formula A = 0.5 x b x h where ‘b’ is the length of the base of the triangle and ‘h’ is its height. so A =0.5*8*3 = 12

Area of the figure = 48-12=36

MO is parallel to PR. Angle RQN=115. What is MNQ?

Answers

Since MO is parallel to PR, then angle MNQ and angle RQN are alternate interior angles and are congruent. Therefore, angle MNQ = angle RQN = 115 degrees.

What are alternate interior angles

When a line that intersects two parallel lines, also known as a transversal, creates an intersection with a pair of other lines, it forms what is referred to as alternate interior angles.

From the diagram we can see that RQN and MQN are similar angles from the diagram

Hence we have that RQN=115 = MNQ

Therefore MNQ = 115 degrees

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Pls, HELP!!
Law of Cosines
Solve for c. Round your final answer to the nearest tenth

Answers

The length of c in the triangle is 4.2 units.

How to find the side of a triangle?

The side of a triangle can be found using cosine law as follows:

Hence,

c² = a² + b² - 2ab cos C

where

a, b and c are the side lengthC is angle opposite to side c

Therefore,

c² = 7² + 8² - 2(7)(8) cos 32°

c² = 49 + 64  - 112 cos 32°

c² = 113 - 112(0.84804809615)

c² = 113 - 94.9813867695

c² = 18.019

square root both sides of the equation

c = √18.019

c  = 4.24487926801

c = 4.2 units

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Jermaine invested $3,200 in a defined-contribution account. Assuming he is in a 20% marginal tax bracket, how much did he lower his income taxes with the investment

Answers

Jermaine's income tax was lowered by $640 as a result of the investment.

Investment calculation

Assuming that the defined contribution account is a tax-deferred retirement account, Jermaine can lower his income taxes by the amount of his contribution multiplied by his marginal tax rate. The formula for this tax savings is:

Tax savings = Contribution × Marginal tax rate

Using the given values, Jermaine's contribution to the account is $3,200 and his marginal tax rate is 20%. Substituting these values into the formula, we get:

Tax savings = $3,200 × 0.20 = $640

Therefore, Jermaine can lower his income taxes by $640 by contributing $3,200 to the defined contribution account.

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1/2x^2+3x-5 min or max

Answers

The function f(x) = (1/2)x^2 + 3x - 5 has a minimum value

Classifying the function as min or max

To determine whether the function f(x) = (1/2)x^2 + 3x - 5 has a minimum or maximum value, we can use the fact that the vertex of a quadratic function represents the minimum or maximum point of the function.

To find the x-coordinate of the vertex, we can use the formula x = -b/2a, where a and b are the coefficients of the quadratic term and the linear term, respectively.

In this case, a = 1/2 and b = 3, so we have:

x = -b/2a = -(3)/(2(1/2)) = -3

To find the corresponding y-coordinate, we can substitute x = -3 into the function:

f(-3) = (1/2)(-3)^2 + 3(-3) - 5 = -9.5

Since the coefficient of the quadratic term is positive, we know that the parabola opens upward and the vertex represents a minimum value.

Therefore, the minimum value of the function is -9.5, which occurs at x = -3.

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Read the piccture and thank you

Answers

Minimum because it has that u shape but if was an n shape then it is a maximum

help please PLEASE !!!!!

Answers

Answer:

Positive Association

Complementary Angles

Negative Association

Clusters in Data

Supplementary Angle

Non-linear Association

Step-by-step explanation:

Match the boxes on the left to the answers:

Positive Association

Complementary Angles

Negative Association

Clusters in Data

Supplementary Angle

Non-linear Association

Find the slope and y-intercept of the line: 10 + 5y = 2x.

Answers

Slope: 2/5
Y-intercept: -2

Slope intercept form: y=mx+b.
Your m is your slope, and your b is your y-intercept.

Saloni computed in a two-way table the relative frequencies of boys and girls participation in school sports at her school which statement best describes the relationship between the two variables

Answers

The statement that best describes the relationship between the two variables is "There is an association because the relative frequencies by column are different, and the relative frequencies by row are also different." (option a).

To understand the relationship between these two variables, we need to analyze the frequencies by row and by column. The rows represent one variable (in this case, gender), and the columns represent the other variable (participation in school sports).

If we look at the relative frequencies by row, we see that the percentage of girls participating in school sports is higher in the fall (63%) than in the spring (43%), while for boys, the opposite is true. This indicates an association between gender and participation in school sports, as the relative frequencies vary by row.

Alternatively, if we look at the relative frequencies by column, we see that the percentage of boys participating in school sports is higher in the spring (57%) than in the fall (37%), while for girls, the opposite is true. This also indicates an association between gender and participation in school sports, as the relative frequencies vary by column.

Therefore, we can conclude that the best statement to describe the relationship between the two variables is option A: "There is an association because the relative frequencies by column are different, and the relative frequencies by row are also different."

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Complete Question:

Siloni computed in a two-way table the relative frequencies of boys’ and girls’ participation in school sports at her school.

School Sports Participation by Gender Fall Spring

Boys 37% 57%

Girls 63% 43%

Which statement best describes the relationship between the two variables?

a) There is an association because the relative frequencies by column are different.

b) There is an association because the relative frequencies by row are different.

c) There is no association because the relative frequencies by column are different.

d) There is no association because the relative frequencies by row are different.

Evaluate the following expression.
If x=12,y=8, and z=6.
X2y-2z over 4

Answers

The value of the expression "(x²y - 2z)/4", when x = 12 , y = 8 and z = 6, is (c) 285.

An "Expression" is defined as a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation, which are written using mathematical symbols and follow certain rules.

We have to evaluate the expression : (x²y - 2z)/4, if x = 12 , y = 8 and z = 6,

To evaluate , we substitute x = 12 , y = 8 and z = 6, in the expression,

So, We have,

⇒ (12² × 8 - 2×6)/4,

⇒ (144 × 8 - 12)/4,

⇒ (144 × 8 - 12)/4,

⇒ (1152 - 12)/4,

⇒ 1140/4,

⇒ 285,

Therefore, the value of the given expression, when x=12, y=8, and z=6, is 285, the correct option is (c).

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find the measure of angle PRT

Answers

It is 45 because a circle is 360 degrees and 90 x 4 is so it can’t be 90, 180 would be half of the circle also.
Answer:

measure of Angle PRT = 90 degrees

Step-by-step explanation:

A circle with center T exists -- Given

Point R is on the the circle. -- THIS IS AN ASSUMPTION BASED ON THE PICTURE (if you have more information that makes this not true, the rest of this logic fails).

Line segment TR is the radius of the circle. -- Definition of radius

Line PR is tangent to the circle. -- PR touches at exactly one point: R

Angle PRT has a vertex as point R. -- definition of angle PRT

Since PR is tangent to the circle, TR is perpendicular to PR -- consequence of lines perpendicular to circles

Perpendicular lines form right angles. -- Consequence of two congruent angles that form a straight angle pair.

The measure of a right angle is 90 degrees. -- definition of right angle

Therefore, the measure of angle PRT is 90 degrees.

The value of a certain collectible card in dollars from January 2020 to May 2021 can be modeled by the function V(m)=250m2 – 3,500m + 18,000, where m is the approximate number of months since the start of 2020.

Over what period was the value of the card declining?

< m

Answers

If the value of a certain collectible card in dollars from January 2020 to May 2021 can be modeled by the function V(m)=250m² – 3,500m + 18,000, the value of the card was declining over the period 0 < m < 7.

To determine when the value of the collectible card was declining, we need to look for when the first derivative of the function is negative. If the first derivative of the function is negative over a certain period, then the function is decreasing over that period. The first derivative of the function V(m) is:

V'(m) = 500m - 3,500

To find when the value of the card was declining, we need to solve the inequality V'(m) < 0. Solving for m, we get:

500m - 3,500 < 0

500m < 3,500

m < 7

Therefore, the value of the card was declining over the period 0 < m < 7. This corresponds to the months from January 2020 to July 2020. During this period, the first derivative of the function V(m) is negative, which means the value of the card was decreasing.

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I’ve had trouble on these even on my test and I still can’t figure it out. Can someone explain how to solve:

3x = y - 2
6x = 4 - 2y

Answers

Answer: Sure, here's how to solve the system of equations:

1. Start with the first equation: 3x = y - 2

Solve for y by adding 2 to both sides: y = 3x + 2

2. Substitute the value of y from the first equation into the second equation:

6x = 4 - 2y

6x = 4 - 2(3x + 2) (substitute y = 3x + 2)

6x = 4 - 6x - 4

12x = 0

3. Solve for x by dividing both sides by 12: x = 0

4. Substitute the value of x from step 3 into either equation to solve for y:

y = 3x + 2

y = 3(0) + 2

y = 2

Therefore, the solution to the system of equations is (x, y) = (0, 2).

hope this helpsss :D

Step-by-step explanation:

Please find the equation of the circle! (Thx)

Answers

Answer:

[tex] {(x - 1)}^{2} + {(y - 2)}^{2} = 5 [/tex]

Input Signals: P = 0 and Q = 1.

Answers

The output of the OR gate will be 1.

What is a NOT Gate?

An important component for electronics and computing, the NOT gate or inverter is a basic digital logic gate. It is designed with one input and output that conduct logical negation.

Essentially, this means it turns the input signal to its opposite. When given an input binary value at "1," the method generates "0" as the output and vice versa.

Two input signals, P=0 and Q=1, are subjected to the following process. The message carried by Q is inverted via a NOT gate using its negation feature, returning Q' = 0 at its output.

The resultant value of Q' (evaluated as zero), is then processed using an OR logic operation along with input P into another gate. Outputs from an OR port may only produce "1" if any of the input signal(s) carry a 1. As one of the inputs from this specific procedure provides "0", the result will inevitably be "1".

Consequently, a final analysis reveals that regardless of what the initial value for P was, the result obtained formulating the two signals through a NOT and OR devices matches an outcome of "1".

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what is the x-intercepts of y=-3x(4-x)

Answers

The x-intercepts of the given function y = -3x(4-x) are x = 0 and x = 4.

As we know that the x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses

To determine the x-intercepts of a function, we need to set y=0 and solve for x.

In this case, we have:

y = -3x(4-x)

0 = -3x(4-x)

0 = 3x(x-4)

Therefore, the x-intercepts occur when either 3x=0 or x-4=0.

Solving for x, we get:

3x = 0, x = 0

x - 4 = 0, x = 4

Therefore, the x-intercepts of y=-3x(4-x) are x=0 and x=4.

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Need help. What is the x value pic attached below​

Answers

The value of x in the function f(x) = (1/3)^x - 2 such that f(x) = 7 is -2

Calculating the value of x

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

f(x) = (1/3)^x - 2

When the value of f(x) is 7, we have

(1/3)^x - 2 = 7

So, we have

(1/3)^x = 9

Take the log of both sides

x = log(9)/log(1/3)

Evaluate

x = -2

Hence, the value of x is -2

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the following figure, assume that a and b = 3, c = 5, e = 12, and d = 13​

Answers

Looking at the information provided, we can guess the triangle is similar to the one attached.

Therefore the area of the joint triangle is 40.825 unit²

How did we find the area of the joint triangle?

a = b = 3 is the side lengths of the equilateral triangle c = 5 is the side length shared by both triangles = 12 which is the base of the right triangled = 13 which is the hypotenuse of the right triangle

The height of the equilateral triangle is 4.33 units.

Looking at this information, we solve for the area of the  equilateral triangle;

Area = (base × height) / 2 (5 × 4.33) / 2= 10.825

Area = (base × height) / 2

Area of the right angle triangle = (12 × 5) / 2 = 30

The total area 10.825 + 30 = 40.825

The above answer is partly based on the figure provided in the image. The numbers used were the ones provided by you, except for the height of the equilateral triangle.

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Looking at the information provided, we can guess the triangle is similar to the one attached. Therefore the area of the joint triangle is 40.825 unit²

How did we find the area of the joint triangle?

a = b = 3 is the side lengths of the equilateral triangle

c = 5 shared by both triangles

12 = the base of the right triangle

13 = the hypotenuse of the right triangle

4.33 = height of the equilateral triangle

To solve the total area, we say

Triangle 1

Area = (base × height) / 2

(5 × 4.33) / 2= 10.825

Triangle 2

Area = (base × height) / 2

Area of the right angle triangle = (12 × 5) / 2 = 30

The total area ∴ 10.825 + 30 = 40.825

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Find sin (ñ/4). Round to 3 decimal places.

Answers

Answer:To find sin(π/4), we can use the fact that sin(π/4) = sin(45°). We also know that sin(45°) = 1/√2 or approximately 0.707 (rounded to 3 decimal places). Therefore, sin(π/4) is approximately equal to 0.707.

Step-by-step explanation:

Please help me!
Which of these graphs represent a function?

Answers

Answer:

  X

Step-by-step explanation:

You want to identify the graph that represents a function.

Vertical line test

A graph represents a function if no vertical line intersects the graph in more than one place.

W – the line x=0 intersects the graph at y = -4 and at y = 4. This graph is not the graph of a function.

X – At points where the graph might overlap, one point is identified as not include, (1, -1) for example, while the other point is identified as included (1, 1) for example. This means there is only one function value at that point, so this is the graph of a function.

Y – The vertical line x=-2 intersects the graph in an infinite number of points. This graph is not the graph of a function.

Z – The vertical line x=0 intersects the graph at y = -2, y = 0, and y = 2. This graph is not the graph of a function.

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A biomedical manufacturing process has only 12.5% chance of producing a commercially successful result. The mean number of processes to be performed before a commercially successful one is?

Answers

The mean number of processes to be performed before a commercially successful one is 8.

The probability of success in each attempt is 0.125, so the parameter of the geometric distribution is p=0.125.

The mean of a geometric distribution with parameter p is equal to 1/p, so:

Mean = 1/p = 1/0.125 = 8

Therefore, the mean number of processes to be performed before a commercially successful one is 8.

In probability and statistics, the mean (or average) is a measure of the central tendency of a set of numbers. It is calculated by adding up all the numbers in a set and then dividing the sum by the total number of values in the set. The mean is a commonly used measure of the central tendency because it takes into account all the values in the set and provides a single value that represents the "typical" value.

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Each of the following people bought a watch that costs 300. Which of the following people will pay the most for their purchase

Answers

The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month

Which individual will pay the most?

The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.

Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.

Complete Question:

Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month

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According to a recent poll, 22% of US adults get an average of 7 or more hours of sleep per night. Assume this is the parameter value for the population. Suppose you select a simple random sample of 50 US adults and find that 10 of them get an average of 7 or more hours of sleep per night. Let p(hat) = the proportion in the sample who get an average of 7 or more hours of sleep per night.

Assuming the polling information is true, the probability that 20% or less of US adults get an average of 7 or more hours of sleep per night is ?
answer is .3664

If needed, use the z-table to answer the question.

Answers

assuming the polling information is true, is 0.4019 or approximately 0.3664 when rounded to four decimal places.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

The mean of the sample proportion distribution is given by:

μp(hat) = p = 0.22

The standard deviation of the sample proportion distribution is given by:

σp(hat) = sqrt((p*(1-p))/n) = sqrt((0.22*0.78)/50) = 0.0802

To find the probability that 20% or less of US adults get an average of 7 or more hours of sleep per night, we need to find the z-score corresponding to this value:

z = (0.20 - 0.22) / 0.0802 = -0.2494

Using a standard normal table or calculator, we find that the probability of obtaining a z-score of -0.2494 or less is 0.4019. Therefore, the probability that 20% or less of US adults get an average of 7 or more hours of sleep per night,

Hence assuming the polling information is true, is 0.4019 or approximately 0.3664 when rounded to four decimal places.

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What is 10500-8395______

Answers

Answer:

2105, plug it into calculator

From the observation deck of a skyscraper, Brandon

Answers

The horizontal distance from the base of the skyscraper out to the ship will be 1140 feet.

How to solve

Given that:-

The angle is = 45

The height of the skyscraper is 1140 feet.

The horizontal distance will be calculated by applying the angle property in the right angle triangle.

tan45  =  (  P  /  B  )

B  =  P  /  tan45

B  =  P                                 Since ( tan45 =1 )

B  =  1140 feet.

Therefore the horizontal distance from the base of the skyscraper out to the ship will be 1140 feet.

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From the observation deck of a skyscraper, Brandon measures a 45^{\circ} ∘ angle of depression to a ship in the harbor below. If the observation deck is 1140 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Other Questions
PLS helpppWho was primarily responsible for the start of the Cold War? What evidence do you have to support your claim? (Minimum of 3 sentences, 3pts) In my class, everyone studies French or German, but not both languages. One third of the girls and the same number of boys study German. Twice as many boys as girls study French. Which of these could be the total number of boys and girls in my class? Why is sunlight considered a renewable resource? Which are disadvantages of renewable resources? Check all that apply. Renewable energy supplies may not be completely reliable. Renewable energy sources will never run out. Renewable energy produces large quantities of waste products. It is difficult to generate electricity in large quantities using renewable resources. 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Simplify (4x 4)-3. O B. 2O C. -8x120D. -64x9 Predict the product, if any, of reaction between methyl propanoate and CH3MgBr, then H3O+. Draw only the product derived from the acyl portion of methyl propanoate. If no product is formed, signify this by drawing ethane in the window. Marvin JS - Troubleshooting Marvin JS - Compatibility 1. Write a mechanism for the E1 elimination reaction of 2-methylcyclohexanol with phosphoric acid. Be as complete as possible and show electron flow for all steps. You should clearly indicate the mechanistic pathways that lead to each of the products formed in the reaction (there is no need to duplicate common steps, but at some point the pathways diverge) Exercises15.1 Underline the correct or more natural option (or both if possible). A & B1 Valuables can/ are able to be left in the hotel safe. Please ask at the reception desk.2 We could/ were able to finish the hockey match before it started snowing too heavily.3 The rebels could/ were able to draw on the support of over 20,000 soldiers.4 Could you / Were you able to understand Professor Larsen's lecture? I found it really difficult.5 A: Do you want a game? B: Sorry, I can't /'m not able to play chess.6 Look at me, I can/'m able to ride my bike without any help.7 When the firefighters arrived they could/ were able to put out the flames in a couple of minute8 The air was so polluted in the city centre, I could hardly / was hardly able to breathe.9 I knew Petra had been decorating. I could / was able to smell the paint when I came in.10 Can you/Are you able to drive without your glasses?11 No changes can/ are able to be made to this rail ticket after purchase.12 He could / was able to untie the ropes without the guards noticing.13 She looked all over the house, but couldn't/ wasn't able to find her keys anywhere.14 I was very busy at work, but I could / was able to have a couple of days off last week. A random sample of 100 stores from a large chain of 1,000 garden supply stores was selected to determine the average number of lawnmowers sold at an end-of-season clearance sale. The sample results indicated an average of 6 and a standard deviation of 2 lawnmowers sold. A 95% confidence interval (5. 623 to 6. 377) was established based on these results. True or False: Of all possible samples of 100 stores taken from the population of 1,000 stores, 95% of the confidence intervals developed will contain the true population mean within the interval the competitive dimension of monopolistic competition is that group of answer choices low barriers to entry tend to push economic profits toward zero. high barriers to entry tend to push economic profits toward zero. consumers view each firm's products as interchangeable. each firm in the industry will lose all of its customers if it raises its price. Find dy/dt given that x^2+y^2 = 2x+4y, x = 3, y = 1 and dx/dt = 7 Use the image below to find x: Show your steps and identify the TRIG RATIO that you used to find x. Incredibly delicious treatComes in a variety of flavorsEveryone loves itColorful sprinkles on topReady for it anytimeExcellent on a hot dayAll types of toppingsMelts in the SunThe poem titled "Ice Cream" is an example of an acrostic poem. The first letter of each line aligns vertically to form a word. Which of these is another characteristic of acrostic poetry? What do scientists compare to make sure they classify an organism correctly?.