One fifth less than the product of seven and a number

The total number of units produced in an 8-hour day is approximately 22.86 units.

There are different ways to approach this problem, but one possible method is to use the concept of cycle time and the total available production time to determine the number of units produced in a day.

An operation is performed on a batch of 100 units.

Setup time is 20 minutes and run time is 1 minute.

The total number of units produced in an 8-hour day is:

Step 1: Find the cycle time per unitThe cycle time per unit is the sum of the setup time and the run time:

Cycle time = setup time + run time = 20 minutes + 1 minute = 21 minutes.

Step 2: Find the total available production time in a day

One day has 24 hours, but 8 hours are not available for production due to breaks, maintenance, and other factors. Therefore, the total available production time is:

Total available production time = 8 hours × (60 minutes per hour) = 480 minutes.

Step 3: Calculate the number of units produced in a day

The number of units produced in a day is the total available production time divided by the cycle time per unit:

Units produced = total available production time ÷ cycle time= 480 minutes ÷ 21 minutes≈ 22.86 units (rounded to two decimal places)

Therefore, the total number of units produced in an 8-hour day is approximately 22.86 units.

This assumes that there is no variability in the process, and that all units are of good quality.

If there are any defects, rework, or other disruptions, the actual production may be lower.

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We can find the equation of the line passing through the given two points (-4, 7) and (2, -2) using the slope-intercept form of a linear equation:

slope (m) = (change in y) / (change in x) = [tex](-2 - 7) / (2 - (-4)) = -9/6 = -3/2[/tex]

Using point-slope form with the first given point (-4, 7), we get:

[tex]y - 7 = (-3/2)(x - (-4))\\y - 7 = (-3/2)x - 6\\y = (-3/2)x + 1[/tex]

Now we can plug in the x-coordinates of the other points given and check if they satisfy the equation.

[tex](−2, −6):\\y = (-3/2)x + 1\\-6 = (-3/2)(-2) + 1\\-6 = 3 + 1\\-6 ≠ 4 (not on the line)[/tex]

[tex](−2, −5):\\y = (-3/2)x + 1\\-5 = (-3/2)(-2) + 1\\-5 = 3 + 1\\-5 ≠ 4 (not on the line)(4, −6):\\y = (-3/2)x + 1\\-6 = (-3/2)(4) + 1\\-6 = -6 + 1\\-6 ≠ -5 (not on the line)(4, −5):\\y = (-3/2)x + 1\\-5 = (-3/2)(4) + 1\\-5 = -6 + 1\\-5 = -5 (on the line)[/tex]

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The equation that represents the volume, v, as a function of the height, h is given as: V(h) = 36πh,

where h is the height in meters and V is the volume in cubic meters.

The volume of a cylinder can be calculated using the formula V=πr²h.

Here, we have a number of cylinders with a radius of 6 meters.

Let h represent the height in meters and v represent the volume in cubic meters.

To write an equation that represents the volume, v,

as a function of the height, h,

we can substitute the value of r (radius) with 6m in the formula of the cylinder’s volume,

V = πr²h.

So we get:

V = π(6m)²h

V = 36πh

This equation tells us that the volume of any cylinder with a radius of 6 meters can be expressed as 36πh,

where h is the height of the cylinder.

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There are 6 possible arrangements of four children on a 4-animal merry-go-round if Andy is seated on the giraffe.

If Andy is seated on the giraffe in a 4-animal merry-go-round, the arrangement of four children on the merry-go-round can be determined as follows:

Since Andy is already seated on the giraffe, only three children are left to be seated on three other animals. The first child can be seated on any of the three remaining animals. The second child can be seated on either of the two remaining animals since one has already been occupied.

Finally, the third child can be seated on the only remaining animal. Therefore, there are three options for the first child, two options for the second child, and one option for the third child, resulting in 3*2*1 = 6 possible arrangements of four children on a 4-animal merry-go-round if Andy is seated on the giraffe.Answer:6.

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16.70Therefore, the point estimate that should be used in constructing the confidence interval is -$16.70.

To find the point estimate that should be used in constructing the confidence interval, the formula for the point estimate can be used. The formula is as follows: Point Estimate = Sample Mean of Mail-Order Sales - Sample Mean of Internet Sales = $70.60 - $87.30 = -$16.70.How to find the point estimate?The point estimate is the best estimate of the unknown population parameter based on a given sample of data. In this case, the unknown population parameter is the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases.

To find the point estimate, we need to calculate the difference between the sample mean of mail-order sales and the sample mean of internet sales .The formula for the point estimate is given by :Point Estimate = Sample Mean of Mail-Order Sales - Sample Mean of Internet Sales= $70.60 - $87.30= -$

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The expected number of boxes of cereal that must be purchased to obtain at least one of each of the four different prizes is 1.

Let X be the number of boxes of cereal that need to be purchased to obtain at least one of each of the four different prizes. We want to find E(X), the expected value of X.

To do this, we can use the concept of the geometric distribution. The probability of obtaining a new prize in a box of cereal is given by:

p = 4/4 = 1 (since there are four different prizes)

The probability of not obtaining a new prize in a box of cereal is

q = 1 - p = 0

Therefore, X follows a geometric distribution with parameter p = 1. The expected value of a geometric distribution with parameter p is

E(X) = 1/p

So in this case, we have

E(X) = 1/1 = 1

This means that on average, the family will need to purchase one box of cereal to obtain at least one of each of the four different prizes.

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2 and 2/3 divided by 6 equals 4/9.

So, 2 and 2/3 divided by 6,

we can simplify it step by step as follows:

First, we need to convert the mixed numbers 2 and 2/3 to an improper fraction:

2 and 2/3 = (2 × 3 + 2) / 3 = 8/3

Therefore, the expression becomes:

8/3 ÷ 6

To divide fractions, we need to invert the second fraction and multiply:

8/3 ÷ 6 = 8/3 × 1/6

Simplifying the multiplication of fractions:

8/3 × 1/6 = (8 × 1) / (3 × 6) = 8/18

Now, we can simplify the fraction 8/18 by dividing both the numerator and denominator by their greatest common factor, which is 2:

8/18 = (8 ÷ 2) / (18 ÷ 2) = 4/9

Therefore, 2 and 2/3 divided by 6 equals 4/9.

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Answer:

Step-by-step explanation:

Let's represent the maximum number of operations per second as "x".

If the computer is running at 40% of the maximum, it is performing 0.4x operations per second.

We are given that the computer is performing 30 operations per second, so we can set up an equation:

0.4x = 30

Solving for x:

x = 75

Therefore, the maximum number of operations the computer can perform per second is 75.

So, the correct answer is 4. 75 operations per second.

Answer:

Step-by-step explanation:

You want to know the dimensions of a cuboid cereal box with volume 975 cm³ that is 3 times as wide as deep, and 2 cm shorter than wide.

Let x represent the depth of the box. Then the width is 3 times that, or 3x. The length is 2 cm less than the width, so is (3x -2). The volume is the product of these dimensions.

  V = DWL

  975 = x(3x)(3x -2)

We like to graph an equation like this in the form ...

  f(x) = 0

so the solution is the x-intercept of the graph of f(x). Subtracting 975 puts the equation in that form:

  x(3x)(3x -2) -975 = 0

The attachment shows the graph of x(3x)(3x -2), and that it has its only real solution at x=5. This means the dimensions are ...

__

Alternate solution

Sometimes finding the solution to a cubic isn't easy. As a starting point, we can recognize that 3x-2 is about the same as 3x, so the value of x will be approximately the solution to ...

  975 = x(3x)(3x) = 9x³

  x = ∛(975/9) ≈ 4.8

The nearest integer to this value is x=5, so that can be a good value to check: 5(3·5)(3·5 -2) = 5·15·13 =975. (x = 5 works!)

Iterated solution

We can rewrite the equation as ...

  975 = 3x²(3x -2)

  325 = x²(3x -2)

  325/(3x -2) = x²

  x = √(325/(3x -2))

A value of x will be a solution to this equation if it makes the right side equal to the left side. This equation works as an "iterator," meaning we can use a value of x on the right side, and the value of that function will give a value of x on the left that is closer to the solution. The table in the second attachment shows this convergence to x=5.

It isn't always easy to find a suitable iteration function for a cubic or higher degree polynomial equation. The usual tools are Descartes' Rule of Signs, and the Rational Root Theorem. The best iteration functions are found using calculus.

Answer: 12 cupcakes

Step-by-step explanation:

24/8 = 3

3x4=12

Answer:

The answer to your problem is, 12

Step-by-step explanation:

First, we want to know the problem:

24 ÷ 8 = ?

? = 3

Next, we can do some easy multiplication such as the following:

3 x 4 = ?

? = 12.

Thus, the answer to your problem is, 12

Answer: 71  1/2$

Step-by-step explanation:

Answer:

The area that represents elements contained in the complement of the intersection of swimmers and weightlifters is the region outside the circles labeled as D. Therefore, the answer is D.

Step-by-step explanation:

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The student question is about calculating the statistics and probabilities for two different sample sizes of adolescent girls who are developmentally delayed, reaching their adult height.

For the sample size of 29 girls, the estimated standard error is 1.6337, and the statistic is 1.10. For the larger sample size of 91 girls, the new estimated standard error is 0.9222, and the new statistic is 1.95. As the sample size increases, the statistic becomes smaller.

Using the Distributions tool to determine the probability of getting the statistic or something more extreme for each sample size, you can find the probabilities (p) for each case. For the sample size of[tex]29 (n=29),[/tex] you will obtain a specific probability (p).

Similarly, for the sample size of[tex]91 (n=91)[/tex], you will get another probability (p). The distribution will change with larger sample sizes (n).

To observe the distribution changes, you can use the Degrees of Freedom slider in the tool and move it from the smallest value to the largest value. This will help you see how the shape of the distribution changes as the sample size increases.

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Answer:0.6

Step-by-step explanation: 4 divided by 5 = 0.6

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Answer: 3/5 as a decimal is 0.6

Answer: 3/5 as a decimal is 0.6Let us see how to convert 3/5 to a decimal using two methods.

Answer: 3/5 as a decimal is 0.6Let us see how to convert 3/5 to a decimal using two methods.Explanation

Step 1: To convert any fraction to decimal form, we just need to divide its numerator by denominator.

Step 2: Here, the fraction is 3/5 which means we need to perform 3 ÷ 5

Step 3: This gives the answer as 0.6. So, 3/5 as a decimal is 0.6

Step 1: Find a number that we can multiply by the denominator of the fraction to make it 10 or 100 or 1000 and so on. In this case, if we multiply the denominator by 2 it becomes 10. Therefore, we will multiply both the numerator and the denominator by 2 which will make it 3/5 = (3 × 2) / (5 × 2) = 6/10

Step 2: After multiplying both numerator and denominator by that number, we have converted it into its equivalent fraction.

Step 3: Then, we write down just the numerator by putting the decimal point in the correct place, that is, one space to the left starting from the right-hand side for every zero in the denominator. This means 6/10 = 0.6

Step 3: Then, we write down just the numerator by putting the decimal point in the correct place, that is, one space to the left starting from the right-hand side for every zero in the denominator. This means 6/10 = 0.6Irrespective of the methods used, the answer to 3/5 as a decimal number will always remain the same. Therefore, now we know what is 3/5 in decimal form.

Step 3: Then, we write down just the numerator by putting the decimal point in the correct place, that is, one space to the left starting from the right-hand side for every zero in the denominator. This means 6/10 = 0.6Irrespective of the methods used, the answer to 3/5 as a decimal number will always remain the same. Therefore, now we know what is 3/5 in decimal form.Thus, 3/5 as a decimal is 0.6

The least likely event from given events is Option B: A randomly selected student who is freshmen owns a skateboard.

The event whose occurence is minimum is least likely event.

Suppose there are finite elementary events in sample space of considered experiment and all are equally likely.

Then, we want to find the probability of an event E.

Then, its probability is given as

P(E) = Number of favourable cases/ Number of total cases = n(E)/n(S)

where favorable cases are the elementary events who belong to E, and total cases are size of sample space.

For two events A and B, by chain rule, we have:

P(A∩B) = P(B)P(A|B) = P(A)P(A|B)

How to find the conditional probability:

Suppose that there are two events A and B. Then suppose the conditional probability are:

P(A|B) = probability of occurrence of A given B has already occurred.

P(B|A) = probability of occurrence of B given A has already occurred.

We can then use the chain rule to find them, or Bayes theorem also helps in finding these probabilities.

We are given the table of joint relative frequency:

We take events as A, A' and B and B'

Important probabilities which will be used are evaluated as:

P(A) = n(A)/n(S) = 150/1200 = 1/8

P(B) = n(B)/n(S) = 250/1200 = 5/24

P(A') = 1 - P(A) = 7/8

P(B') = 1 - P(B) = 1 - 5/24 = 19/24

P(A∩B) = n(A∩B) / n(S) = 40/1200 = 1/30

P(A'∩B') = n(A'∩B') / n(S) = 840/1200 = 7/10

P(A'∩B) = n(A'∩B) / n(S) = 210/1200 = 7/40

Evaluating probabilities of choices given, we get:

Case 1: E = A random selected student who owns skateboard is freshmen

P(E) = ?

P(E) = P(B|A) = P(A∩B) / P(A) = 1/30 ÷ 1/8 = 4/15

Case 2: E = A random selected student who is freshmen owns skateboard:

P(E) = P(A|B) = P(A∩B) / P(B) = 1/30 ÷ 5/24 = 4/25

Case 3: E = A random selected student who doesn't owns skateboard is freshmen

P(E) = P(B|A') = P(A'∩B) / P(A') = 7/40 ÷ 19/24 = 21/95

Case 4: E = A randomly selected student who doesn't owns skateboard is not freshmen

P(E) = P(B'|A') = P(A'∩B') / P(A') = 7/10 ÷ 19/24 = 84/95

So, the least probability is for second case.

Question - Seth is analyzing number of students in class and high school who own skateboards. He puts the data in table shown. Given information in table, which event is least likely?

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Answer:

544 in²

Step-by-step explanation:

Find the area of the rectangle, then the triangle, then add them together to get the total SA.

Rectangle = l x w = 10 x 14 = 140 in²

SA of the 2 rectangular sides = 140 x 2 = 280 in²

Triangle = 1/2bh = 1/2(12)(8) = 48²

SA of the 2 triangular ends = 2 x 48 = 96 in²

Rectangular base = 14 x 12 = 168 in²

Total SA = 280 + 96 + 168 = 544 in²

There are 336 ways for the 8 team entrants to achieve the desired outcome of first, second, and third place positions.

The problem involves selecting 3 individuals out of 8 to fill the 1st, 2nd, and 3rd place positions. Since the order in which the individuals are selected matters, we need to use the permutation formula to determine the total number of ways to achieve the desired outcome.

The formula for permutation is:

P(n,r) = n! / (n-r)!

Where n is the total number of individuals, and r is the number of positions to be filled.

In this case, we need to select 3 individuals out of 8 to fill the 1st, 2nd, and 3rd place positions. Using the permutation formula, we get:

P(8,3) = 8! / (8-3)!

= 8! / 5!

= (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (5 x 4 x 3 x 2 x 1)

= 8 x 7 x 6

= 336

In other words, the coach has 336 possible ways to select three team members for the podium, assuming all team members have an equal chance of winning.

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x + 3 / 0 = y / 6 = z - 2 / 3 is the required set of parametric equation and symmetric equation of line.

Given the point (-3, 0, 2) and the vector v = 6j + 3k, we need to find the set of parametric equation and symmetric equation of the line through the point and parallel to the given vector.

Let the line be L and a point on the line be P(x, y, z).

Then, the vector from (-3, 0, 2) to P is given by

r = OP = i(x + 3) + jy + k(z - 2)

Since L is parallel to the vector v = 6j + 3k, the direction ratios of L are proportional to the components of v. Thus, the direction ratios of L are 0, 6, and 3.

Therefore, the parametric equations of L are:

x + 3 = 0 ⇒ x = -3y = tz - 2 = 3t + 2

where t is a parameter, and the symmetric equations are x + 3 / 0 = y / 6 = z - 2 / 3. This is the required answer.

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The number line :0-------------4-------------10 represents the solution to the equation.

What Is an integer?

An integer is a whole number that can be positive, negative, or zero. In other words, integers are numbers that can be written without fractions or decimals.

Examples of integers are: -3, -2, -1, 0, 1, 2, 3, and so on.

The equation 4p = 16 represents the number of baseball cards owned by Phillip, where p is the number of baseball cards owned by him.

To solve for p, we can divide both sides of the equation by 4:

4p/4 = 16/4

p = 4

Therefore, Phillip owns 4 baseball cards.

Now we need to represent this solution on a number line. We can draw a number line with 0 on the left and 10 on the right, marking every integer in between. Then we can place a dot at the point corresponding to the number 4, which represents the number of baseball cards owned by Phillip.

Therefore the number line :

0-------------4-------------10

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To achieve the maximum output from his electrical system, Steve should set the input to 6, the x-coordinate of the vertex of the parabola described by the equation [tex]y = -x^2 + 12x - 20[/tex].

To find the input that will result in the maximum output of the electrical system, we need to find the vertex of the parabola described by the equation [tex]y = -x^2 + 12x - 20[/tex]. The vertex of a parabola is the point where the curve reaches its highest or lowest point, depending on whether the parabola opens upward or downward. In this case, the coefficient of [tex]x^2[/tex] is negative, which means the parabola opens downward, and the vertex represents the maximum point.

We need to find the vertex of the parabola given by the equation [tex]y = -x^2 + 12x - 20[/tex]. The vertex of a parabola with equation [tex]y = ax^2 + bx + c[/tex] is given by the formula x = -b/2a.

In this case, a = -1, b = 12, and c = -20, so the x-coordinate of the vertex is:

x = -b/2a = -12/(2*(-1)) = 6

Therefore, the input at which Steve will reach his maximum output is x = 6.

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Answer:

A

Just Because They Produce more Automobiles, does not mean they sell them all, which it also does not tell us the quantity.

Answer: 0.9 or 9/10

Step-by-step explanation:

The question asks how many miles did Camila walk in all, so we have to add 1/2 mile and 2/5 of a mile.

1/2 + 2/5 = 9/10

Answer:

9/10 of a mile

Step-by-step explanation:

1/2 + 2/5

= 5/10 + 4/10

=9/10

Ultimately, teleportation and time travel would certainly have both positive and negative effects on the graph of the lives of Noah's descendants, presenting both new chances and difficulties.

A graph shows the relationship between variables or values by visualising data or information. It comprises of a coordinate system with an x-axis and y-axis, and data points or lines plotted on it. In a variety of disciplines, including mathematics, physics, economics, and social sciences, graphs are used to convey and interpret data. They can be employed to display patterns, trends, comparisons, and connections between different data points. Bar graphs, line graphs, scatter plots, pie charts, and histograms are examples of common graph types.

given

Having the capacity to teleport and go through time could potentially present new difficulties and complexities for writers.

Plotlines could get more complicated and sophisticated if characters travel between several eras or parallel realities.

Also, being able to travel across great distances quickly can make the globe seem smaller and less mysterious, which could make it more difficult to convey a sense of awe and discovery through storytelling.

Ultimately, teleportation and time travel would certainly have both positive and negative effects on the graph of the lives of Noah's descendants, presenting both new chances and difficulties.

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The solution to the system of equations is: x = 1/2 and y = 4. The steps and justification are given below.

Given the equations, -4x + y = 2 and 4x + y = 6, the following shows the justification for each step taken to solve the system.

Step                                   Justification                                            

1. 2y = 8                            1. Add the equations

2. y = 4                             2. Divide each side by 2

3. 4x + y = 6                     3. Write equation 2

4. 4x + (4) = 6                   4. Substitute 4 for y

5. 4x = 2                           5. Subtract 4 from each side

6. x = 1/2                           6. Divide each side by 4

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Answer:

Step-by-step explanation:

Since △PQR ~ △STU, their corresponding angles are congruent, and their corresponding sides are proportional.

First, we can find the measure of angle Q as follows:

m∠Q = 180 - m∠P - m∠R = 180 - 70 - 46 = 64 degrees

Next, we can use the fact that the sides of the similar triangles are proportional to set up the following proportions:

frac{ST}{21} = frac{SU}{14} and frac{ST}{28} = frac{TU}{21}

Solving for ST gives us:

ST = frac{21}{14} SU = frac{3}{2} SU

and

ST = frac{28}{21} TU = frac{4}{3} TU

Substituting these values into the second proportion, we get:

frac{3}{2} SU = frac{4}{3} TU

Multiplying both sides by 2/3, we get:

SU = frac{8}{9} TU

Now we can use the fact that the angles in a triangle add up to 180 degrees to find the measure of angle T.

m∠T = 180 - m∠S - m∠U = 180 - m∠S - (180 - m∠P - m∠R)

m∠T = m∠P + m∠R - m∠S = 70 + 46 - m∠S = 116 - m∠S

Finally, we can use the fact that the angles in △STU add up to 180 degrees to find the measure of angle S.

m∠S + m∠T + m∠U = 180

Substituting the previously found values for m∠T and SU into the equation, and solving for m∠S gives us:

m∠S = 52 degrees

Therefore, the missing measures are:

SU = 6 x 8/9 = 16/3

ST = 3/2 x 6 = 9

TU = 4/3 x 9 = 12

m∠S = 52 degrees

m∠T = 116 - 52 = 64 degrees

m∠U = 180 - 52 - 64 = 64 degrees

Total volume of the composite figure using volume of cuboid formula is = 120ft³.

A cuboid's volume is a measurement of how much room it occupies. A three-dimensional shape with dimensions of length, breadth, and height is the cuboid. We can keep stacking them, starting with a rectangular sheet, until we achieve a shape with a particular length, breadth, and height.

The shape of this stack of sheets is a cuboid, which has 6 faces, 12 edges, and 8 vertices. The (unit)³ is used to represent a cuboid's volume.

In the given figure,

Length of cuboid = 6ft.

Breadth of cuboid = 3ft.

Height of cuboid = 5ft.

Length of second cuboid = 4ft.

Height of second cuboid = 5ft.

Breadth of second cuboid = 3ft.

Volume of first cuboid = length × breadth × height.

= 6 × 3 × 5

= 90ft³

Volume of second cuboid = 4 × 3 × 5

= 60ft³

Now the second cuboid is half.

So, volume becomes = 60/2

= 30ft³.

So, total volume of the figure = 90 + 30 = 120ft³.

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The perimeter of the rectangle is approximately 208.9 meters.

To find the perimeter of the rectangle, we need to know the length of the other side.

Let's use the formula for the area of a rectangle:

area = length x width

We know that the area is 717.8 m^2 and one of the sides (width) is 7.4 m. So we can rearrange the formula to solve for the length:

length = area / width

length = 717.8 / 7.4

length ≈ 97.05 m

Now we have both the length and width of the rectangle, so we can find the perimeter:

perimeter = 2 x (length + width)

perimeter = 2 x (97.05 + 7.4)

perimeter = 2 x 104.45

perimeter = 208.9 m

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There are 2(24!) - 23! arrangements of the 26-letter alphabet that contain "the" or "of."

To find the number of arrangements of the 26-letter alphabet that contain "the" or "of," we can use the principle of inclusion-exclusion.

First, we find the total number of arrangements of the 26-letter alphabet, which is 26! (26 factorial).

Next, we find the number of arrangements that contain "the." To do this, we treat "the" as a single letter and arrange the remaining 24 letters along with it. Since there are 24 letters to arrange, the number of arrangements that contain "the" is 24! (24 factorial).

Similarly, we find the number of arrangements that contain "of" by treating it as a single letter and arranging the remaining 24 letters along with it. The number of arrangements that contain "of" is also 24!.

However, if we simply add the number of arrangements that contain "the" and "of," we will be double-counting the arrangements that contain both "the" and "of." To correct for this, we subtract the number of arrangements that contain both "the" and "of."

To find the number of arrangements that contain both "the" and "of," we treat "the of" as a single letter and arrange the remaining 23 letters along with it. Since there are 23 letters to arrange, the number of arrangements that contain both "the" and "of" is 23! (23 factorial).

Using the principle of inclusion-exclusion, the total number of arrangements that contain "the" or "of" is:

24! + 24! - 23! = 2(24!) - 23!

Therefore, there are 2(24!) - 23! arrangements of the 26-letter alphabet that contain "the" or "of."

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The probability of observing exactly 4 errors in the carpet is 0.0165 or 1.65%.

The number of weaving errors in a twenty-foot by ten-foot roll of carpet follows a Poisson distribution with a mean of 0.5. We can use the Poisson probability distribution formula to find the probability of observing exactly 4 errors in the carpet:

[tex]P(X = 4) = (e^{-0.5} * 0.5^4) / 4![/tex]

where X is the random variable representing the number of weaving errors. Plugging in the values, we get:

[tex]P(X = 4) = (e^{-0.5} * 0.5^4) / 4! = 0.0165[/tex] (rounded to four decimal places)

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