The scatter plot represents the average daytime temperatures recorded in New York for a week. What is the range of the temperature data in degrees Fahrenheit?

The probability that a continuous random variable takes a value less than zero is any number between zero and one.

The standard deviation of a normal distribution cannot be negative.

For any continuous random variable, the probability that it takes a value less than zero is given by the cumulative distribution function (CDF) at zero. Since the CDF is a monotonically increasing function that ranges from 0 to 1, the probability that the random variable takes a value less than zero is any number between 0 and 1, inclusive.

The standard deviation of a normal distribution is always a positive number since it is the square root of the variance, which is defined as the average of the squared deviations from the mean.

Since the deviations are squared, they are always non-negative, and their average (the variance) cannot be negative. Therefore, the standard deviation of a normal distribution cannot be negative.

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Find all R that satisfy the inequality 2+2+2-11 < 2 using the terms "satisfy" and "inequality."

First, let's simplify the inequality:

2 + 2 + 2 - 11 < 2

Now, combine the like terms:

6 - 11 < 2

Next, subtract 6 from both sides:

-5 < 2

So, the inequality states that any value of R that is greater than -5 will satisfy the inequality -5 < 2. In this case, all real numbers R greater than -5 satisfy the given inequality.

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You should use auxiliary information in estimation under the following conditions:

1. When the auxiliary information is strongly correlated with the variable of interest: If there's a strong relationship between the auxiliary variable and the variable you're trying to estimate, incorporating the auxiliary information can lead to more accurate estimates.

2. When the auxiliary information is readily available and reliable: It's important that the auxiliary information is easy to obtain and trustworthy, so that it can be used to improve the estimation process without introducing errors or biases.

3. When the primary data source is limited or costly to obtain: In cases where collecting data on the variable of interest is difficult, time-consuming, or expensive, using auxiliary information can be an efficient way to improve the estimation.

4. When the goal is to improve the precision of estimates: Auxiliary information can be used to reduce the variance of estimates, resulting in more precise and accurate results.

In summary, you should use auxiliary information in estimation when it is strongly correlated with the variable of interest, readily available and reliable, when primary data is limited or costly to obtain, and when the goal is to improve the precision of estimates.

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Answer:3/10 or 30%

Step-by-step explanation:

the sectors are 1 through 10 meaning 1 2 3 4 5 6 7 8 9 10 out of all those numbers the only ones divisible by 3 is 3 6 9 meaning that 3 numbers out of 10 are divisible by 3. therefore being 3/10.

The acceleration of the box is 0.4 m/s².

The magnitude of the force that Rory applies is 20.12 N.

(a)

The acceleration of the box can be calculated using the formula:

[tex]a = (v_f^2 - v_i^2) / (2d)[/tex]

where vf is the final velocity, vi is the initial velocity, and d is the distance traveled.

Substituting the given values, we get:

a = (1.2² - 0²) / (2 x 1.8)

a = 0.4 m/s²

(b)

To find the magnitude of the force that Rory applies, we can use Newton's second law, which states that the net force on an object is equal to its mass times its acceleration:

F(net) = ma

The resistance force is acting in the opposite direction to the force applied by Rory.

F(applied) - F(resistance) = ma

Substituting the given values.

F(applied) - 19 = 2.8 x 0.4

F(applied) = 19 + 1.12 = 20.12 N

Therefore, the magnitude of the force that Rory applies is 20.12 N.

Thus,

The acceleration of the box is 0.4 m/s².

The magnitude of the force that Rory applies is 20.12 N.

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The sixth graders ate 85 donuts.

The initial mortality rate in 1998 per 100,000 people is :

88.8 deaths

To find the initial mortality rate in 1998, you'll need to use the given relation :

M = 88.8(0.9418)^t, where M is the number of deaths per 100,000 people, and t is the number of years since 1998.

Identify the value of t for 1998. Since 1998 is the starting year, t = 0.

Substitute the value of t into the equation. M = 88.8(0.9418)^0

Calculate M. Since any number raised to the power of 0 is 1, the equation becomes M = 88.8(1), which simplifies to M = 88.8.

So, the initial mortality rate in 1998 is 88.8 deaths per 100,000 people.

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Set S has 840 permutations and 70 subsets of 4 elements, and [tex]2^7[/tex] - 7 - 1 = 120 subsets of 2 or more elements an example of a 4-permutation are {b, e, f, c}, and an example of a 4-subset is {a, d, g, e}.

An example of a 4-permutation from the set S would be {a, b, c, d}. An example of a 4-subset from the set S would be {a, c, e, g}.

To find how many subsets of S have two or more elements, we need to subtract the empty set and the singleton sets from the total number of subsets. The total number of subsets of S is [tex]2^7[/tex] = 128. There is only one empty set, and there are seven singleton sets. Therefore, the number of subsets of S with two or more elements is 128 - 1 - 7 = 120.

To find how many subsets of S have 3 or 4 elements, we can use the combination formula. The number of 3-element subsets of S is C(7,3) = 35, and the number of 4-element subsets of S is C(7,4) = 35 as well. Therefore, there are 35 + 35 = 70 subsets of S that have 3 or 4 elements.

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Answer: Perimeter: 60ft Area: 150ft^2

Step-by-step explanation:

Since the area of a triangle is equal to the (base*height)/2, you can take the values of each and turn it into an equation like this:

[tex]\frac{25\cdot12}{2}[/tex]

This comes out to be 150ft^2.

Next is the perimeter, which is all of the side lengths of a shape added together.

15+20 is equal to 35, then when you add 25 to it, you get 60.

This means the perimeter is 60 and the area is 150ft^2

Answer:

24.997 cm

Step-by-step explanation:

         r = 7 cm

[tex]\sf Circumference \ of \ quarter \ circle = \dfrac{1}{2}*\pi *r[/tex]

                                               [tex]\sf =\dfrac{1}{2}*3.142*7\\\\= 10.997 \ cm[/tex]

        Perimeter of quarter circle  = r + r + circumference of quarter circle

                                                      = 7 + 7 + 10.997

                                                      = 24.997 cm

The integral ∫[0,6] 1/x dx is divergent, An integral is said to be divergent if it does not have a finite value.

The given integral is:

[tex]∫[0,6] 1/x dx[/tex]

We know that the integral of 1/x is ln(x), and the antiderivative of ln(x) is xln(x) - x.

So, applying the limits of integration, we get:

[tex]∫[0,6] 1/x dx = ln(x)|[0,6] = ln(6) - ln(0)[/tex]

The natural logarithm of zero is unclear, so the indispensably isn't characterized at x = 0. In this manner, the indispensability is unique.

An integral is said to be divergent in the event that it does not have limited esteem. In other words, on the off chance that the fundamentally does not meet a genuine number, it is said to be unique.

There are a few reasons why a fundamentally may be unique. A few common reasons incorporate:

The integrand gets to be unbounded at a few points inside the limits of integration.

The integrand does not approach zero as the constraint of integration approaches boundlessness.

The limits of integration are interminable, and the integrand does not merge to a limited esteem as the limits approach interminability.

When an indispensably is disparate, it implies that the zone beneath the bend is interminable or does not exist.

This could have imperative suggestions in ranges such as material science and designing, where integrands are utilized to calculate amounts such as work, energy, and a liquid stream. 

Thus, the answer is (b) Divergent. 

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this is a special triangle so the undefined lenght is 12

so the answer is 12/20 = 0.6

The general solution to the original differential equation is:  

y(t) = [tex]C1 e^t cos t + C2 e^t sin t + (1/2)ex sin t + (1/4)ex sin(2t) + (1/4)ln|[/tex]

We first solve the associated homogeneous differential equation:

[tex]2y'' - 4y' + 4y[/tex] = 0

The characteristic equation is[tex]r^2[/tex] - 2r + 2 = 0, which has roots r = 1 ± i. Therefore, the general solution to the homogeneous equation is:

[tex]y_h(t) = e^t([/tex]C1 cos t + C2 sin t)

To use the method of variation of parameters to find the particular solution to the original equation, we assume that the solution has the form:

[tex]y_p(t) = u(t)e^t cos t + v(t)e^t sin t[/tex]

where u(t) and v(t) are functions to be determined.

[tex]y_p''(t) \\\\2u'(t)e^t cos t + 2v'(t)e^t sin t + 2u(t)e^t cos t - 2v(t)e^t sin t - 2u(t)e^t sin t - 2v(t)e^t cos t[/tex]

[tex]y_p'(t) = u'(t)e^t cos t + v'(t)e^t sin t + u(t)e^t cos t + v(t)e^t sin t[/tex]

Substituting these into the original equation and simplifying, we get:

[tex]2u'(t)e^t cos t + 2v'(t)e^t sin t = ex sec x[/tex]

We need to find u'(t) and v'(t) such that this equation holds for all t. To do this, we take the derivative of the assumed solution with respect to t and equate coefficients of cos t and sin t separately:

[tex]u'(t)e^t cos t + v'(t)e^t sin t + u(t)e^t cos t + v(t)e^t sin t = 0 (1)\\v'(t)e^t cos t - u'(t)e^t sin t + u(t)e^t sin t - v(t)e^t cos t = ex sec x (2)[/tex]

Solving equation (1) for u'(t) and v'(t) and substituting into equation (2), we get:

[tex]v(t) = ∫ [ex sec x / (e^(2t))] dt\\u(t) = -∫ [ex sec x / (e^(2t))] tan t dt[/tex]

Evaluating the integrals, we get:

[tex]v(t) = (1/2)ex tan x - (1/2)ln|cos x| + C1\\u(t) = (1/4)ex [sin(2t) - 2cos(2t)] + (1/4)ln|cos x| tan x + C2[/tex]

where C1 and C2 are arbitrary constants.

The general solution to the original differential equation is:  

y(t) = [tex]C1 e^t cos t + C2 e^t sin t + (1/2)ex sin t + (1/4)ex sin(2t) + (1/4)ln|[/tex]

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After approximately 60.2 minutes, the pizza will reach a temperature of 150°F.

We can model the cooling of the pizza using Newton's law of cooling:

T(t) = T_room + (T_0 - T_room) e^(-kt)

where T(t) is the temperature of the pizza at time t, T_0 is the initial temperature of the pizza (300°F), T_room is the room temperature (70°F), and k is the cooling rate constant. We can solve for k using the fact that the pizza cools from 300°F to 100°F in M minutes:

100 = 70 + (300 - 70) e^(-kM)

e^(-kM) = 0.1

-kM = ln(0.1)

k = -ln(0.1)/M

Now we want to find the time t when the pizza's temperature is 150°F:

150 = 70 + (300 - 70) e^(-kt)

e^(-kt) = (150 - 70)/(300 - 70)

e^(-kt) = 4/13

-kt = ln(4/13)

t = -ln(4/13)/k

Substituting the expression for k derived earlier, we get:

t = M ln(4/13) / ln(0.1)

For example, if M = 30 (i.e., it takes 30 minutes for the pizza to cool from 300°F to 100°F), then:

t = 30 ln(4/13) / ln(0.1) ≈ 60.2 minutes

Therefore, after approximately 60.2 minutes, the pizza will reach a temperature of 150°F.

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(a)  (AUB) \ (AnB) has a total of 4 elements.

(b) sin(pi/4) = 1/sqrt(2)

cos(pi/3) = 1/2

a) To find the elements in (AUB) \ (AnB), we first need to find AUB and AnB.
AUB is the set of all elements that are in A or B or both.

Therefore, AUB = {1,3,4,5,6,7,8}.

AnB is the set of all elements that are in both A and B.

Therefore, AnB = {3,5,7}.

To find (AUB) \ (AnB), we need to remove the elements in AnB from AUB.

Therefore, (AUB) \ (AnB) = {1,4,6,8}.
Thus, (AUB) \ (AnB) has 4 elements.

b) sin(pi/4) = 1/sqrt(2) and cos(pi/3) = 1/2.
We can remember these values using the unit circle.

At pi/4 radians, the point on the circlunit e is located at (sqrt(2)/2, sqrt(2)/2), which gives us a sine value of 1/sqrt(2) and a cosine value of 1/sqrt(2).

At pi/3 radians, the point on the unit circle is located at (1/2, sqrt(3)/2), which gives us a sine value of sqrt(3)/2 and a cosine value of 1/2.

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Answer:

The formula for the surface area, S, of a cube with edges of length 2x is:

S = 6(2x)^2

Simplifying the expression inside the parentheses gives:

S = 6(4x^2)

Multiplying 6 by 4x^2 gives:

S = 24x^2

Therefore, the formula for the surface area of a cube with edges of length 2x is S = 24x^2, which is option (B).

Step-by-step explanation:

Two bodies can have the same resistance or charge/potential ratio, but still have different potentials, resulting in the flow of current between them.

The correct answer is C) potential.

When two bodies have the same potential, it means that the electric potential difference between them is zero. In this case, no work is required to move a charge from one body to the other, because the potential energy of the charge is the same on both bodies.

Since current is defined as the flow of electric charge, if there is no potential difference between two bodies, there will be no force driving the charges to move from one body to the other. Hence, no current will flow between the two bodies.

It is important to note that having the same resistance or charge/ potential ratio does not necessarily mean that no current will flow between two bodies. Resistance refers to the opposition to the flow of current, and the charge/ potential ratio is the charge per unit of electric potential. Therefore, two bodies can have the same resistance or charge/potential ratio, but still have different potentials, resulting in the flow of current between them.

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The probability of randomly drawing a vowel is two eighths

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

P, E, R, C, E, N, T, S

Using the above as a guide, we have the following:

Vowels = 2

Total = 8

So, we have

P(Vowel) = Vowel/Total

Substitute the known values in the above equation, so, we have the following representation

P(Vowel) = 2/8 = two eighths

Hence, the solution is two eighths

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The null hypothesis is H₀: p ≥ 0.2 (the return rate is greater than or equal to 20%). The alternative hypothesis is H₁: p < 0.2 (the return rate is less than 20%).

We will first identify the null hypothesis (H₀) and alternative hypothesis (H₁). The null hypothesis represents the assumption that there is no significant difference or effect. In this case, the return rate is assumed to be equal to 20%. The alternative hypothesis represents the claim we want to test, which is that the return rate is less than 20%. So, the null hypothesis and alternative hypothesis are: H₀: p = 0.2 H₁: p < 0.2 Based on the provided options,

The correct answer is: OB. H₀: p = 0.2 OC. H₁: p < 0.2

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Step-by-step explanation:

Total cost will be

$ 73.56   + 7% of 73.56

$ 73.56 + .07 * $73.56

(1.07) ( 73.56) = $ 78 . 71

Ha: difference in Apgar score between first-born and second-born twins is not equal to zero.

The most appropriate test for this scenario would be a paired t-test, as the researchers collected data from the same set of twins and are comparing the differences in Apgar score between the first-born and second-born twins.

The appropriate alternative hypothesis for this test would be "Ha: difference in Apgar score between first-born and second-born twins is not equal to zero."

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Monopolists are firms that have control over the supply of a particular product or service in a market. Due to this control, they can charge higher prices than competitive firms, which can result in lower quantities sold.

One reason why a monopolist's marginal revenue is less than the sales price is due to the downward-sloping demand curve. As the monopolist increases its sales price, the quantity demanded decreases. This means that the revenue generated from each additional unit sold is lower than the revenue generated from the previous unit sold. In other words, the marginal revenue earned from each unit sold is less than the sales price. This occurs because the monopolist must lower the price of all units sold to sell additional units, which lowers the average revenue earned per unit.
To illustrate this, imagine a monopolist that sells widgets for $10 each. If the monopolist lowers the price to $9, it may sell 10 widgets, resulting in revenue of $90 ($9 x 10). However, if the monopolist maintains the $10 price and only sells 9 widgets, the revenue is $90 ($10 x 9). In this case, the marginal revenue for the 9th unit sold is $0, which is less than the sales price of $10. This is because the monopolist must lower the price of all units sold to sell the additional unit, resulting in a decrease in average revenue per unit. Overall, the monopolist's marginal revenue is less than the sales price due to the downward-sloping demand curve and the need to lower prices to sell additional units.


A monopolist, unlike firms in a competitive market, has significant market power due to the absence of competition. This allows the monopolist to control the market price of their product by adjusting the quantity supplied. When a monopolist wants to sell an additional unit, they must lower the sales price for all units, including the ones already being sold. This is because the demand curve faced by a monopolist is downward-sloping, meaning that in order to sell more units, the monopolist has to decrease the price.
Marginal revenue refers to the additional revenue gained from selling one more unit of the product. As the monopolist lowers the sales price to sell more units, two things happen: the revenue increases from the additional unit sold, but there is also a loss in revenue from the units that were sold at a higher price before the price reduction.

As a result, the marginal revenue is less than the sales price, since it takes into account not only the revenue from the additional unit sold but also the loss of revenue from lowering the price of all units. This relationship between the monopolist's pricing strategy and marginal revenue is a key factor in determining the monopolist's profit-maximizing level of output and price.

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The multiple choice question is "Ο Α True", which means "Option A is true".

Recall that Newton's method involves the iterative formula:

x_(n+1) = x_n - f(x_n)/f'(x_n)

where f(x) is the function we want to solve for, and f'(x) is its derivative.

In this case, we have f(x) = 2x^3 - 83x^2 - 80x - 2.02 and f'(x) = 6x^2 - 166x - 80. So, using the initial guess of x_0 = 3, we have:

x_1 = x_0 - f(x_0)/f'(x_0)

= 3 - (2(3)^3 - 83(3)^2 - 80(3) - 2.02)/(6(3)^2 - 166(3) - 80)

= 2.838

Therefore, the next approximation to the solution using Newton's method with an initial guess of x_0 = 3 is x_1 = 2.838.

The answer to the multiple choice question is "Ο Α True", which means "Option A is true".

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An equation to represent the number of bricks that will be needed for 2 walls is m = 2x

Here, a house has x bricks and 10 pounds of glue to build a wall.

this means that to build one wall, it requires 'x' number of bricks.

Let us assume that for 2 wall it will need 'm' number of bricks.

Using Unitary method the number of bricks needed for 2 walls would be,

⇒ m = 2 × x

⇒ m = 2x

This means that to build two walls, it will take 2x number of bricks, where x is the number of bricks needed to build a single wall.

Therefore,  an equation that represents the number of bricks that will be needed for 2 walls: 2x

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There are 816 triangles that can be formed using diagonals from a common vertex of a 19-gon.

The number of available vertices that are not adjacent to the vertex in question is 18, and we have the freedom to pick three of them by selecting from a pool of 18C3 options. Nevertheless, as we disregard the order in which these vertices are selected, their sequence must be divided by 3!.

As such, the total count for possible triangles formed using diagonals originating at the same vertex in a 19-gon is:

The triangles that would be formed is given as  816 triangles

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Since it transferred the least amount of thermal energy to the spoon. The answer is (D).

The temperature of the coffee will be highest in the cup where the least amount of thermal energy is transferred to the spoon. This can be calculated using the formula:

Q = mcΔT

where Q is the thermal energy transferred, m is the mass of the coffee, c is the specific heat capacity of the coffee, and ΔT is the change in temperature.

Since the cups and coffee are identical, m and c are the same for all cups. Therefore, the cup with the smallest value of Q will have the highest temperature.

Let's calculate Q for each cup and spoon:

For Cup A and Spoon 1:

Q = (50 g)(4.18 J/gC)(95 - 22 C) = 13661 J

For Cup B and Spoon 2:

Q = (50 g)(4.18 J/gC)(95 - 24 C) = 13496 J

For Cup C and Spoon 3:

Q = (50 g)(4.18 J/gC)(95 - 26 C) = 13331 J

For Cup D and Spoon 4:

Q = (50 g)(4.18 J/gC)(95 - 28 C) = 13166 J

Therefore, Cup D with Spoon 4 will have the highest temperature at thermal equilibrium, since it transferred the least amount of thermal energy to the spoon. The answer is (D).

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The Multiplicative inverse of 47x = 1 mod 64 is 47 x 15 = 1 (mod 64) . Using Inverse GCD 50x = 63 mod 71 is 50 x 27 = 63 (mod 71).

The reciprocal of a particular integer is referred to as the multiplicative inverse. It is employed to make mathematical expressions simpler. The word "inverse" denotes an opposing or opposed action, arrangement, position, or direction. A number becomes 1 when it is multiplied by its multiplicative inverse.

When a number is multiplied by the original number, the result is 1, that number is said to be the multiplicative inverse of that number. A-1 or 1/a is used to represent the multiplicative inverse of the constant 'a'. In other terms, two integers are said to be multiplicative inverses of one another when their product is 1. The division of 1 by a number yields the multiplicative inverse of that number.

a) The Multiplicative inverse of 47x = 1 mod 64 is

x = 47⁻¹ mod 64

Mow,

Let (47)⁻¹ = y(mod64)

Then, 47y + 64k = 1

Now,

64 = 47 x 1 + 17

47 = 17 x 2 +13

17 = 13 x 1 + 4

13 = 4 x 3 + 1

Comparing with equation we get,

y = 15 and k = -11

Hence, 47 x 15 = 1 (mod 64)

b) The Multiplicative inverse of 50x = 63 mod 71 is

x = 50⁻¹ 63(mod 71)

Mow,

Let (50)⁻¹ = y(mod71)

Then, 50y + 71k = 1

Now,

71 = 50 x 1 + 21

50 = 21 x 2 + 8

21 = 8 x 2 + 5

8 = 5 x 1 + 3

5 = 3 x 1 + 2

3 = 2 x 1 + 1

Comparing with equation we get,

y = 27 and k = -19

Hence, 50 x 27 = 63 (mod 71)

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5. The multiplicative inverse of 47x = 1 mod 64 is 47 x 15 = 1 (mod 64)

6.  The value of 50x = 63 mod 71 using inverse GCD is 50 x 27 = 63 (mod 71).

Given that

47x = 1 mod 64

Divide both sides of the equation by 47

So, we have

47/47x = 1/47 mod 64

Evaluate the quotient

x = 47⁻¹ mod 64

Let (47)⁻¹ = y(mod64)

So, we have

47y + 64k = 1

Expand 64

64 = 47 x 1 + 17

Expand 47

47 = 17 x 2 +13

Expand 17

17 = 13 x 1 + 4

Expand 13

13 = 4 x 3 + 1

When the equations are compared, we have

y = 15 and k = -11

This means that, the multiplicative inverse is 47 x 15 = 1 (mod 64)

Here, we have

50x = 63 mod 71

Divide

50x/50 = 63/50 mod 71

So, we have

x = 50⁻¹ 63(mod 71)

Let (50)⁻¹ = y(mod71)

So, we have

50y + 71k = 1

Expand 71

71 = 50 x 1 + 21

Expand 50

50 = 21 x 2 + 8

Expand 21

21 = 8 x 2 + 5

Expand 8

8 = 5 x 1 + 3

Expand 5

5 = 3 x 1 + 2

Expand 3

3 = 2 x 1 + 1

When the equations are compared, we have

y = 27 and k = -19

This means that 50 x 27 = 63 (mod 71)

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(a) The number of ways that the event can occur is 6.

(b) Probabilities are :

1) 1/2, 2) 1/6 and 3) 1/3.

(a) Given a bag of different shapes.

Total number of shapes = 6

So, if we select one shape from random,

total number of ways that the event can occur = 6

(b) Number of squares in the bag = 3

Probability of choosing a square = 3/6 = 1/2

Number of circles in the bag = 1

Probability of choosing a circle = 1/6

Number of stars in the bag = 2

Probability of choosing a star = 2/6 = 1/3

Hence the required probabilities are found.

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The cars will be 225 km from point A when they meet and it will take 5 hours for the cars to meet..

Let's denote the distance of the faster car from point A as "x" km. Therefore, the distance of the slower car from point B would be "400-x" km.

We can use the formula for distance, which is:

distance = rate × time

For the faster car, the distance it travels can be expressed as:

x = 45t

where t is the time it takes for the cars to meet.

For the slower car, the distance it travels can be expressed as:

400-x = 35t

Now, we can solve for t by setting these two expressions equal to each other:

45t = 400 - 35t

80t = 400

t = 5

We can then substitute t back into either expression to find the distance from point A:

x = 45t = 45(5) = 225 km

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When x = 2, f(g(x)) is approximately equal to 187/9.

To solve for f(g(x)) when x = 2, we need to substitute the value of x into the function g(x) and then substitute the result into the function f(x). Let's calculate it step by step:

Step 1: Calculate g(x) when x = 2:

g(x) = x + 4/3

g(2) = 2 + 4/3

g(2) = 2 + 4/3

g(2) = 10/3

Step 2: Substitute the result from step 1 into f(x):

f(x) =[tex]x^2[/tex] + 2x + 3

f(g(x)) = f(10/3)

f(g(2)) = f(10/3)

Step 3: Calculate f(g(2)):

f(10/3) = (10/3[tex])^2[/tex] + 2(10/3) + 3

f(10/3) = 100/9 + 20/3 + 3

f(10/3) = 100/9 + 60/9 + 27/9

f(10/3) = 187/9

Therefore, when x = 2, f(g(x)) is approximately equal to 187/9.

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