"Please explain to me.
Review Homework: 4.2 Mean Value Theorem Homework Question 3, 4.2.21 Part 2 of 2 HW Score: 99%, 3.96 of 4 points Points: 0.99 of 1
a. Determine whether the Mean Value Theorem applies to the function f(x) = -3+x² on the interval [ - 2,1]. b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem.
Choose the correct answer below.
A. No, because the function is continuous on the interval [-2,1], but is not differentiable on the interval (-2,1).
B. Yes, because the function is continuous on the interval [2,1] and differentiable on the interval (-2,1).
C. No, because the function is differentiable on the interval (-2,1), but is not continuous on the interval [ - 2,1].
D. No, because the function is not continuous on the interval [2,1], and is not differentiable on the interval (-2,1).

Picking a green marble from bag A is D. impossible.

The probability of an impossible occurrence is the likelihood that an event won't occur at all and won't have any chance of happening in the future. As a result, the likelihood of such an event is always zero. An impossible event is one that doesn't take place. There is no chance that it may occur. Therefore, there is no chance of that happening.

There are no green marbles in Bag A which means that it is not possible to pick a green marble from Bag A. The probability of picking a green marble is 0 and the likelihood is impossible.

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The full question is:

Bag a has 2 yellow marbles,2 red marbles, and 3 blue marbles picking a green marble from bag a is certain,likely,unlikely,impossible

The number of degrees of freedom we should use is 14 for makin95% confidence interval.

Degrees of freedom of an estimate is the number of independent pieces of information that went into calculating the estimate. It’s not quite the same as the number of items in the sample. In order to get the df for the estimate, you have to subtract 1 from the number of items.

Degree of freedom of sample size of n : n -1

When we don't have any idea about population standard deviation,

and also, the sample size is less than 30 .

We use t-distribution to calculated the statistics.

According to the question,

We are making a 95% confidence interval

The sample is 15 (<30) . So , we have to adjust and use a t-value instead of a Z score in order to account for the smaller sample size and using the sample SD.  

Note that the t-value depends on the degrees of freedom (df) as a reflection of sample size. When using the t-distribution to compute a confidence interval, df = n-1.

So , making 95% confidence interval for population mean from sample size 15 , we need degree of freedom of 14

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A light bulb manufacturer wants to advertise the average life of its light bulbs so it tests a subset of light bulbs. This is an example of inferential statistics.

The statement is true.

Inferential statistics is referred to that field of statistics which uses analytical tools to draw conclusions about a population by examining (or, surveying) random samples (taken from the population).

Inferential statistics generalizes the observations derived from the sample as the observations from the population.

Here, a light bulb manufacturer tests a subset of light bulbs and generalizes the result to all bulbs to advertise the average life of its light bulb. Thus, it is an example of inferential statistics.

Therefore, the given statement is true.

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Any value of a variable that makes the equation true is a solution. The set of all variables that makes the equation true is called a solution set. Because 2(4) + 6 = 14, the solution set for 2y + 6 = 14 is 4.

Plugging each value in the domain into the equation to obtain the range values is the first step in determining the solution set for an equation with a given domain. Write these values as a set and create ordered pairs from them. Your response is that set!

An assignment of values to the unknown variables that achieves equality in the equation is called a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used in place of the unknowns, makes the equation equal.

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Full Question = How do you find the solution set of an equation?

Answer:

Step-by-step explanation:

First things first, you need to find out how many minutes it took Corrine to run one mile each day. To do this, you divide 4 by 4 and 28 by 4

4 ÷ 4 = number of miles

4 ÷ 4 = 1 mile

28 ÷ 4 = number of minutes for one mile

28 ÷ 4 = 7 minutes for one mile

Next, you need to divide 5.5 by 5.5 and 32 by 5.5

5.5 ÷ 5.5 = number of miles

5.5 ÷ 5.5 = 1 mile

32 ÷ 5.5 = number of minutes for one mile

32 ÷ 5.5 = 5.81818181818

So, Corrine ran one mile in 7 minutes yesterday and ran one mile in 5.81818181818 today.

All in all, Corrine ran faster today than yesterday.

Hope this helps!

The DMM buys the stock from the floor broker who wants to sell; and then immediately sells that stock for $.01 more to the floor broker who wants to buy. This is an example of scalping or trading ahead.

Designated Market Maker (DMM) on the New York Stock Exchange (NYSE), the DMM has certain obligations and responsibilities to maintain fair and orderly markets for the stocks they oversee. They are expected to provide liquidity by facilitating trades and maintaining an orderly market.

However, in the scenario you provided, the DMM takes advantage of the situation by executing a trade with a floor broker who wants to sell ABC stock and immediately selling it to another floor broker who wants to buy at a slightly higher price. By doing so, the DMM profits from the price difference, earning an extra $.01 per share.

This practice goes against the principles of fair and orderly markets, as the DMM is essentially prioritizing their own profit over providing fair execution prices for buyers and sellers. It can be considered unethical and may be subject to regulatory scrutiny or penalties, as it undermines the integrity and fairness of the market.

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The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Answer:

x = 28°

y= 62°

Step-by-step explanation:

    To find x, we can use the ratio Tan.

    \(\sf Tan \ x = \dfrac{opposite \ side \ of \ x^\circ}{adjacent \ side \ of \ x^\circ}\\\\\)

              \(\sf = \dfrac{7}{13}\\\\= 0.5385\)

           \(\sf x = tan^{-1} \ (0.5385)\\\\x = 28.30^\circ\\\\x = 28^\circ\)

        x + y + 90 = 180  {Angle sum property of triangle}\\

     28 + y + 90 = 180

             y + 118 = 180

                      y = 180 - 118

                      y = 62°

The left and right limits are different, the derivative does not exist at x = 0.

1. Definition of the derivative of a function f(x) at a point c

The derivative of a function f(x) at a point c is the limit of the slope of the secant line between (c, f(c)) and a nearby point on the curve as that nearby point approaches c, provided the limit exists.

It is denoted by f'(c) or dy/dx.

It tells us the rate at which the function is changing at a particular point.

2. Does the derivative of f(x) = |x| exist at x = 0? No, the derivative of f(x) = |x| does not exist at x = 0.

This is because the graph of f(x) = |x| has a sharp corner at x = 0, which makes the slope of the tangent line undefined.

To see this, consider the left and right limits of the derivative of f(x) at

x = 0:$$f'(0^-) = \lim_{h \to 0^-} \frac{f(0+h) - f(0)}{h} = \lim_{h \to 0^-} \frac{|h|}{h} = -1 f'(0^+) = \lim_{h \to 0^+} \frac{f(0+h) - f(0)}{h} = \lim_{h \to 0^+} \frac{|h|}{h} = 1

Since the left and right limits are different, the derivative does not exist at x = 0.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer: \(y = \frac{3}{4} x +1\)

Step-by-step explanation:

A perpendicular line has slopes that are the opposite reciprocals of each other.

Step 1: Turn the given equation into slope-intercept form.

Given: 4x + 3y = 6 → Slope-Intercept Form: y = mx + b

                                         \(4x + 3y = 6\)

                                          \(-4x\)        \(-4x\)

                                           \(\frac{3}{3}\)\(y\) = \(\frac{4}{3} x\) + \(\frac{6}{3}\)

                                          \(y =\) \(-\frac{4}{3}x + 2\)

Step 2: Find the opposite reciprocal of the given slope.

                                           \(-\frac{4}{3}\) → \(\frac{3}{4}\)

Step 3: Take the slope of the new line and the given point and solve for "b" or y-intercept.

y = mx + b → (-8, -5)

-5 = \(\frac{3}{4}\) (-8) + b

-5 = -6 + b

+6   +6

1 = b

Step 4: Take the slope and the value for b and plug them into the slope-intercept equation.

\(y = \frac{3}{4} x +1\)

Answer:

y = 3x/4 - 1

Step-by-step explanation:

First, we need to find the slope of the given equation 4x + 3y = 6

Subtract 4x from both sides

4x + 3y = 6

- 4x        - 4x

3y = -4x + 6

Divide both sides by 3

3y/3 = (-4x + 6)/3

y = -4x/3 + 2

The slope of the given equation is -4/3

The slope of the perpindicular equation will have to be 3/4

Using slope intercept formula, we now have this

y = 3x/4 + b

Now plug in the given coordinate

-5 = 3(-8)/4 + b

-5 = -24/4 + b

-5 = -6 + b

Add 6 from both sides

-5 = -6 + b

+ 6  + 6

b = -1

Now we have y = 3x/4 - 1

The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine.

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Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24

The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.

To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.

Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.

The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.

In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.

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The cost of the labor per hour is 115 hours.

The equation is going to be:

4.25x + 167 = 655.75

your x is going to be:115

The duration was 4.25 hours.

The parts cost 167.

Cost in full: 655.75

so the price per hour is x.

As a result, when you write your equation, the total number of hours (multiplied by the cost per hour) will be added to the cost of the parts, and the sum of these two amounts will be your total cost.

In order to solve the problem, you must deduct the cost of each component from the total cost. This should give you the following result: 4.25x = 488.75

After that, divide 4.25 by each side as you normally would.

The cost of labor per hour follows. 115

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If Mirka is 5 years old, her parents start to give her pocket money of 50p per week , then the amount of pocket money does Mirka get in the first year is £26 .

the amount that Mirka gets per week is = 50p ;

Age of Mirka is = 5 years ;

When Mirka is 5 years old, she starts to receive 50p per week in pocket money. On her birthday, her parents increase her pocket money by 50p.

that means ;

So, for the first year, the pocket money will be 50p per week for 52 weeks (1 year),

Pocket money in the first year = 50p × 52 weeks = £26 .

Therefore , Mirka will get £26 in the first year of her birthday .

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All of the conditions for inference are met, so it is appropriate to construct a 99% confidence interval for the true proportion of all magazine subscribers who do not read the magazine they subscribe to.

Random sample: The sample of 100 magazine subscribers was selected randomly, so this condition is met.

10% condition: The sample size is 100, which is less than 10% of the population of all magazine subscribers, so this condition is met.

Large counts condition: To check the large counts condition, we need to calculate the expected number of subscribers who do not read the magazine they subscribe to, which is n × p = 100 × 0.38 = 38. Since this number is greater than 5, the large counts condition is met.

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Answer:

Random condition:

✔ met

10% condition:

✔ met

Large counts condition:

✔ met

Are the conditions for inference met?

✔ yes

Answer:

42

Step-by-step explanation:

A pentagon has an internal sum of 540.

93+166+127+112+x=540

x=42

Answer:

Step-by-step explanation:

Polygon = 7  (Heptagon)

No of interior angles of polygon =  (n-2)180°

(7-2)×180°

5×180°

=900°.

127°+166°+93°+76°+123°+113°+x °= 900°

810°+ x° = 900°

x °=900°-810°

x° =90°

Answer:

The mean is '547' !

Step-by-step explanation:

549+542+554+551+539 = 2735

So, 2735 ÷ 5 = 547

Hope this helps you !

Answer:

Add everything and divide by the number of values

total number of values = 5

Mean = 549+542+554+551+549/5

=>547

The mean equals 547

The given optimization problem can be reformulated as a Second-Order Cone Programming (SOCP) problem. Here is the reformulation:

Objective: Minimize the weighted sum of constraint violation over all training samples: min Σ(li * ξi), where li > 0 is a set of given weights and ξi represents the error for each training instance.

Subject to:

Soft-margin constraints: y(i)((α(i))Tw + b) > 1 - ξi, for i = 1,...,m.

Directional constraint: wᵀ(Rd*w + c) < 1, where Rd is a given symmetric, positive definite matrix and c is a given vector.

By introducing a new variable t ≥ 0, we can rewrite the directional constraint as:

wᵀ(Rd*w + c) - t < 1.

We can reformulate the problem as follows:

Objective: Minimize t subject to Σ(li * ξi) ≤ t.

Subject to:

Soft-margin constraints: y(i)((α(i))Tw + b) > 1 - ξi, for i = 1,...,m.

Directional constraint: wᵀ(Rd*w + c) - t < 1.

Non-negativity constraints: ξi ≥ 0, t ≥ 0, for i = 1,...,m.

This reformulation allows us to solve the optimization problem as a Second-Order Cone Programming problem, which is a convex optimization problem that can be efficiently solved using existing optimization solvers. The objective now minimizes the variable t, representing the maximum constraint violation, subject to the soft-margin constraints and the directional constraint.

Note: The specific values of li, Rd, c, and other problem-specific parameters are not provided in the question, so the solution is given in terms of the general reformulation.

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Answer:

angle E is congruent to Angle F

Answer: 9 meters

set up a simple conversion:

X = 3m

Y = 3X

Y=3(3 meters)

Y=9 meters

Answer:

x_6x=21_15_3x/. x+6x=21+15+3x

Step-by-step explanation:

Answer:

the correct answer is the last one.

Step-by-step explanation:

good luck on ur test :)

Answer:

 0.27

-0.07

0.20

Step-by-step explanation:

A

If it is not A it is a trick question, or a mistake

Report the problem if you can.

Answer:

-7

Step-by-step explanation:

the vertical line is the y

Q: If a number decreases to \(60\) when it is \(95\), what number will it decrase to when it is \(100\)?

This is the question we should ask ourselves when we want to find the percentage of decrase. We will get the result using direct proportion and round to the nearest tenth.

We multiply by each other to solve the equation.

If we round the number to the nearest tenth, the result is as follows.

6000FT, is the shortest length of fence that the rancher can use.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

Let the rectangular field's length be x.

rectangle field width = y

square feet of a rectangular field's area

Because length is always positive, it is always positive.

Once more, discriminate with respect to x

replace x=1500

Therefore, at x=1 500, fencing is minimal.

Change x to 1 500.

the rectangular field is 1500 feet long.

rectangle field's width is 1000 feet.

Replace the values

shortest used fence length =6000ft

Hence, 6000FT, is the shortest length of fence that the rancher can use.

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Bus 47 is more consistent because it has a larger IQR, which means that its travel times are more tightly clustered around the median travel time.

In mathematics and statistics, the range of a set of data refers to the difference between the largest and smallest values in that dataset. It is a measure of the spread or dispersion of the data.

To find the range of a dataset, you subtract the smallest value from the largest value. For example, if you have a dataset of test scores: 65, 72, 80, 85, 92, 98, the highest score is 98 and the lowest score is 65. Therefore, the range of the test scores is 98 - 65 = 33.

While range is a simple and easy-to-calculate measure of dispersion, it can be sensitive to outliers or extreme values in the dataset, which may not be representative of the overall data. Other measures of dispersion, such as variance or standard deviation, may be more appropriate in some cases.

The correct measure of variability to use in this case is the interquartile range (IQR).

For Bus 47, the IQR is the difference between the third quartile (Q3) and the first quartile (Q1), which can be read off the graph. The third quartile is 22 minutes and the first quartile is 14 minutes, so the IQR is 22 - 14 = 8 minutes.

For Bus 14, the IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The third quartile is 20 minutes and the first quartile is 14 minutes, so the IQR is 20 - 14 = 6 minutes.

Therefore, Bus 47 is more consistent because it has a larger IQR, which means that its travel times are more tightly clustered around the median travel time. The range, which is the difference between the maximum and minimum values, is not the best measure of consistency in this case because it does not take into account the distribution of the data.

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