What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?

Answer:

B. To swim 200 meters, it takes Jana 120 seconds and Micah 104 seconds.

Answer:

B.

Step-by-step explanation:

because you just read everything and look at the table make sure each statement is fully correct in this case it is B

a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.

b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.

c) Player 1 has infinitely many strategies.

d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.

e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.

Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.

Finding Nash Equilibrium

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Answer:

f(-4) = -5

Step-by-step explanation:

x = -4

f(-4) = -4 - 1

f(-4) = -5

The number of no-shows for dinner reservations at the Cottonwood Grille is a discrete random variable with the following probability distribution.

No-shows Probability

0 0.30

1 0.20

2 0.20

3 X

4 0.15

The following

Expected value = (0)(0.30) + (1)(0.20) + (2)(0.20) + (3)(X) + (4)(0.15)

= 0 + 0.20 + 0.40 + 0.15(4) + 3X

= 1.20 + 3X

Since the sum of the probabilities must equal 1, we have

0.30 + 0.20 + 0.20 + X + 0.15 = 1

X = 0.15

Therefore, the expected value of the number of no-shows is

Expected value = 1.20 + 3(0.15) = 1.65

To find the variance, we can use the formula

Variance =\((0 - 1.65)^2(0.30) + (1 - 1.65)^2(0.20) + (2 - 1.65)^2(0.20) + (3 - 1.65)^2(0.15) + (4 - 1.65)^2(0.15)\)= 0.5625

Therefore, the variance is 0.5625, which means the standard deviation is the square root of the variance.

Standard deviation = \(\sqrt{0.5625}\) = 0.75

Hence, the correct option is A 1.65 customers.

Hence, the correct option is E 0 customers.

We have already found the variance to be 0.5625.

Hence, the correct option is C 0.15.

We have already found the expected value to be 1.65.

Hence, the correct option is D 1.424.

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The sum of interior Angles of Hexagon is always 720°

Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:

720°÷6 = 120°

In a regular hexagon, each inside angle is 120°.

An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.

Therefore, the interior angles of a hexagon are always added up to 720°.

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The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Yes, there is causation between the two given variables, as the weight is related at some point with the amount of calories consumed.

For two variables x and y, we say that there is causation when, if we modify one of the variables, the other changes in response.

Correlation just means that the variables are related in some way (maybe both have a causation relationship with the same other variable)

So causation implies correlation.

Correlation does not imply causation.

In this case, we have the example:

x = The number of additional calories consumed

y =  amount of weight gained.

Clearly, we have causation between x and y as larger is the value of x, larger will be the value of x.-

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Answer:

The answer should be x = 3.

Step-by-step explanation:

Here is my work attached below:

Answer:

Geometric construction refers to the process of drawing lines, angles, and other geometric shapes and figures using only a compass and a straightedge (usually a ruler without measurements), without use of specific measurements of length, angle,

etc. ... It can also be used to copy line segments.

The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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9514 1404 393

Answer:

  y = 27·x²   or   (a, n) = (27, 2)

Step-by-step explanation:

Taking the log (base 3) of the given equation, we have ...

  \(\log_3(y)=n\cdot\log_3(x)+\log_3(a)\)

Using the points given on the graph, we have 2 equations in n and 'a'.

  3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0

  a = 3³ = 27

and

  7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2

  4 = 2n

  2 = n

The values of a and n are 27 and 2, respectively.

you have to rearrange the equation to:

Left side and right side equations become:

The first equation is a exponential and second one is a horizontal line. Below I show the two individual graphs:

First

Second

Now, you put the 2 graphs in a single coordinate system and see the intersection point. Shown below:

The figure shown in the question is a rectangle because it has four sides and two opposite sides are parallel.

A rectangle is a quadrilateral having four sides the two opposite sides of the rectangle are equal and parallel. and the two sides are always at perpendicular to each other.

here in the figure we have four sides and two opposite sides are equal

and also parallel to each other so the given figure is the triangle.

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To find the median winning bid, we need to first arrange the bids in order from lowest to highest:

$2.00 $2.00 $3.00 $3.00 $3.00 $5.00 $6.00

There are seven bids in total, which means that the median is the fourth value when the bids are arranged in order. In this case, the fourth value is $3.00.

Therefore, the median winning bid is $3.00.

Answer:

120 reptiles

21 minutes on ride

Step-by-step explanation:

Answer:

A. $80

Step-by-step explanation:

First, let's find the cost of 15 soccer balls.

Next, cost of 20 soccer balls.

Lastly, the difference between 20 and 15 soccer balls:

Answer:

x = 5

Step-by-step explanation:

Answer: x=5

Step-by-step explanation: I just used guess and check, and \(5^{5}\) is 3,125

Answer:

she is going to make $408.90 in 18.2518.25 hours

a)The expected profit is $4,000. b)The standard deviation for the profit is approximately $4,898.98.

a) To calculate the expected profit, we multiply the profit by the probability of it happening:

Expected profit = Profit * Probability

Given:

Profit = $10,000

Probability = 40% = 0.4

Expected profit = $10,000 * 0.4 = $4,000

Therefore, the expected profit is $4,000.

b) To find the standard deviation for the profit, we need more information about the probability distribution of the profit. If we assume that the profit follows a Bernoulli distribution (with only two possible outcomes: getting the contract or not), we can calculate the standard deviation using the formula:

Standard deviation = √(Probability * (1 - Probability) * Profit^2)

Given:

Profit = $10,000

Probability = 40% = 0.4

Standard deviation = √\((0.4 * (1 - 0.4) * $10,000^2)\)

                = √(0.4 * 0.6 * $100,000,000)

                = √(24,000,000)

                ≈ $4,898.98

Therefore, the standard deviation for the profit is approximately $4,898.98.

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The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

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

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Given the provided information, if a woman over 35 tests positive for ovarian cancer, the probability that she actually has cancer is approximately 1.96%.

To determine the probability that a woman over 35 actually has ovarian cancer given a positive test result, we can create a contingency table and use conditional probability. Let's consider a hypothetical sample of 100,000 women:

Out of 100,000 women, 1 in every 2,500 (or 40 out of 100,000) actually has ovarian cancer. Since the test has a 0% rate of false negatives, all the women with ovarian cancer will test positive.

The test also has a 5% rate of false positives. This means that out of the remaining 99,960 women who do not have ovarian cancer, approximately 5% (or 4,998) will test positive incorrectly.

Therefore, out of a total of 5,038 positive test results (40 true positives + 4,998 false positives), only 40 are true positives for ovarian cancer. The probability that a woman who tests positive actually has ovarian cancer can be calculated as the ratio of true positives to the total positive tests:

Probability = (True Positives) / (Total Positive Tests) = 40 / 5,038 ≈ 0.00795 ≈ 0.795%

Thus, the probability that a woman over 35 actually has ovarian cancer given a positive test result is approximately 1.96%. This calculation highlights the importance of considering both the prevalence of the disease and the accuracy of the test in interpreting the results correctly.

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In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

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Step-by-step explanation:

If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent. If a consistent system has an infinite number of solutions, it is dependent.

and if it has no solutions (lines are parallel), then it is inconsistent.

I think that information can be easily found on the internet.

so, the first one on the left is consistent independent. it has a unique solution at (-2, 1). the solution is always the crossing point of the lines.

the middle system is consistent dependent. both lines are identical, and so we have infinite many "crossing points" or solutions.

the right system is inconsistent, as 2 parallel lines have no solution at all.

Answer:

x = 4y - 4/3

Step-by-step explanation:

Step 1: Write expression

3x + 4 = 12y

Step 2: Subtract 4 on both sides

3x = 12y - 4

Step 3: Divide both sides by 3

x = 4y - 4/3

Answer:

x = 2, 4

Step-by-step explanation:

Hi there!

x=√(2x-4)+2

Move 2 to the left:

x-2 = √(2x-4)

Square both sides:

x²-4x+4 = 2x-4

Combine like terms:

x²-6x+8 = 0

Factor:

(x-2)(x-4) = 0

Therefore, x = 2, 4.

I hope this helps!

Answer:

Y = 40

Step-by-step explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

\(m=\frac{y_2-y_1}{x_2-x_1}\)

(3, 1) and (6,2)

\(m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}\)

\(y=mx+b\)

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

Find b using (6,2):

\(y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b\)

\(y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x\)

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

What will be the value of Y when X = 120?

Substitute 120 for x into \(y=\frac{1}{3}x\)

\(y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40\)

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!

The largest number of edges in the undirected graph with 'n' vertices which is before it present cycle is equal to n( n - 1 ) / 2.

Therefore, the largest possible number of edges in the undirected graph which has 'n' vertices  before it contain a cyclic is equal to n ( n - 1 ) / 2.

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Answer:

x=11

Step-by-step explanation: