The average number of items in all the gift bags is 7.4.
What is average?Average, also known as mean, is a numerical value that represents the central or typical value in a set of numbers. It is calculated by adding up all the numbers in a set and dividing the sum by the total number of values in the set. The average is a useful tool for summarizing a large amount of data into a single value that can be easily understood and compared to other values.
In the given question,
We can use the weighted average formula to find the average number of items in all the gift bags:
Average number of items = (proportion of green bags x average items in green bags) + (proportion of yellow bags x average items in yellow bags) + (proportion of blue bags x average items in blue bags)
Proportion of green bags = 50% = 0.5
Proportion of yellow bags = 20% = 0.2
Proportion of blue bags = 30% = 0.3
Average items in green bags = 8
Average items in yellow bags = 5
Average items in blue bags = 8
Substituting the values into the formula, we get:
Average number of items = (0.5 x 8) + (0.2 x 5) + (0.3 x 8)
Average number of items = 4 + 1 + 2.4
Average number of items = 7.4
Therefore, the average number of items in all the gift bags is 7.4
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proof.
Given: mXOY = m WOV
m -- YZ = m --ZW
Prove: m -- XZ = m -- ZV
Since mXOY = mWOV, we can form the following equations so, m--XZ = m--ZV.
What is equation?An equation is a mathematical statement that states the equality of two expressions. It usually consists of two terms, with an equals sign between them, representing the relationship between the terms. Equations are often used to describe relationships between variables, such as in physics and chemistry, and can be used to calculate unknown values.
Proof:
Since mXOY = mWOV, we can form the following equations:
m--YZ = m--ZW (Given)
Subtract both sides of the equation by m to get:
YZ = ZW
Then, multiply both sides of the equation by X to get:
XZ = XW
Now, substitute Y for V and W for V in the equation to get:
XZ = ZV
Finally, subtract both sides of the equation by m to get:
m--XZ = m--ZV
Therefore, m--XZ = m--ZV.
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DUE TOMORROW WELL WRITTEN ANSWERS ONLY!!!!!!!!
Sketch a graph of g given by g(Θ) = sin (Θ) + 3.
Step-by-step explanation:
2 pictures are attached
sin waves are used in many medical devices like to measure heart beats
A Rubik’s Cube is a game where the person tries to get each surface of a cube to be one color. The Rubik’s Cube is made up of smaller unit cubes stacked together.
What is the volume, in cubic units, of the Rubik’s Cube?
Answer:
27 cubic units
Step-by-step explanation:
Since each small cube is a unit cube, then each small cube has side length 1 unit. Each side of the Rubik's cube has length 3 units.
V = s³ = 3³ = 27
Answer: 27 cubic units
I NEED HELP ASAP PLEASE use the number line to help solve the question
Between 4 and 4.5
sqrt(20)
Between 4.5 and 5
sqrt(22)
sqrt(23.1)
Between 5 and 5.5
sqrt(30)
sqrt(25.9)
sqrt(27.3)
Between 5.5 and 6
sqrt(31)
sqrt(34.9)
you are ordering a hamburger and can get up to 6 toppings, but each topping can only be used once. you tell the cashier to surprise you with the toppings you get. what is the probability that you get 0 toppings? express your answer as a fraction or a decimal number rounded to four decimal places.
The probability of getting 0 toppings when ordering a hamburger with a choice of up to 6 toppings is 0.0154, rounded to four decimal places.
The total number of ways to choose 6 toppings out of a possible 6 is given by the combination formula:
[tex]$${ \choose 6} = \frac{6!}{6!(6-6)!} = 1$$[/tex]
This is the total number of possible outcomes.
To get 0 toppings, we need to choose 0 toppings out of 6. The number of ways to do this is:
[tex]{6_{0} =[/tex] [tex]\frac{6!}{0!(6-0)!} = 1$$[/tex]
So the probability of getting 0 toppings is:
[tex]$$P(\text{0 toppings}) =[/tex] [tex]\frac{number of ways to get 0 toppings}{total number of possible outcomes} $$[/tex] [tex]\frac{1}{1} = 1$$[/tex]
However, this is assuming that the cashier chooses the toppings randomly and without replacement. If the cashier has some bias or preference towards certain toppings, this probability may be different.
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Alyssa was comparing the price of chicken thighs at two stores. At SuperGrocery B, 3 pounds of chicken thighs costs $34.80. The table below represents the total cost, in dollars and cents,
�
y, that it costs for
�
x pounds of chicken thighs at SuperGrocery A.
SuperGrocery A
Pounds (
�
)
Pounds (x)
Total Cost (
�
)
Total Cost (y)
1.5
1.5
$
13.52
$13.52
3
3
$
27.03
$27.03
3.5
3.5
$
31.54
$31.54
4.5
4.5
$
40.55
$40.55
How much more expensive is it, per pound, to buy chicken thighs at Store B than at Store A?
Answer:
To find out how much more expensive it is, per pound, to buy chicken thighs at Store B than at Store A, we need to compare the cost per pound at each store.
At SuperGrocery B, we know that 3 pounds of chicken thighs cost $34.80, so the cost per pound is:
$34.80 / 3 pounds = $11.60 per pound
At SuperGrocery A, we can use the information in the table to find the cost per pound for each amount of chicken thighs:
For 1.5 pounds of chicken thighs:
$13.52 / 1.5 pounds = $9.01 per pound
For 3 pounds of chicken thighs:
$27.03 / 3 pounds = $9.01 per pound
For 3.5 pounds of chicken thighs:
$31.54 / 3.5 pounds = $9.01 per pound
For 4.5 pounds of chicken thighs:
$40.55 / 4.5 pounds = $9.01 per pound
So the cost per pound of chicken thighs at SuperGrocery A is $9.01 per pound, which is less expensive than the cost per pound at SuperGrocery B, which is $11.60 per pound.
To find the difference between the two prices, we can subtract the cost per pound at SuperGrocery A from the cost per pound at SuperGrocery B:
$11.60 per pound - $9.01 per pound = $2.59 per pound
Therefore, it is $2.59 more expensive, per pound, to buy chicken thighs at SuperGrocery B than at SuperGrocery A.
Michelle has $80 to buy a new outfit. She found a skirt for $20, a blouse for $25, and a belt for $8. How much does she have left to buy shoes?
1/3750 as a percetage
Answer: 37.5
Step-by-step explanation:
Write the slope-intercept form of the equation of the line described.
through: (-4, -1), parallel to y =
-1/2x-2
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x - 2 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
• Parallel lines have equal slopes , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
to find c substitute (- 4, - 1 ) into the partial equation
- 1 = - [tex]\frac{1}{2}[/tex] (- 4) + c = 2 + c ( subtract 2 from both sides )
- 3 = c
y = - [tex]\frac{1}{2}[/tex] x - 3 ← equation of parallel line
A ____ specifies which subjects and objects users or groups can access.
An access control list (ACL) specifies which subjects and objects users or groups can access.
What is Access Control List (ACL)?An Access Control List (ACL) is a term used to describe a security mechanism that regulates who has access to an object in a computing system. An Access Control List (ACL) is a type of file that contains the names of people or groups of individuals who are allowed or denied access to a system resource.
ACLs are one of the most widely used security measures in computer networks today, and they are used to establish access control policies for network resources such as files, folders, devices, or services. This list is compiled on the basis of the requirements and policies of the security team in place.
The access control list (ACL) is a security feature that allows administrators to define and manage the permissions and rights for different users or groups to access specific resources, such as files, directories, or applications. Implementing an ACL helps to ensure proper security and privacy in a system or network.
The access control list (ACL) is correct in the blanks.
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onsider the sequence which starts 4,11,18 what is the next term in the sequence? find a formula for the th term of this sequence. find the sum of the first 100 terms of the sequence: .
The sequence follows a pattern of adding 7 to the previous term, and its formula is 7n - 3. The sum of the first 100 terms of the sequence is 35,350, which was found using the formula for the sum of an arithmetic series.
The next term in the sequence can be found by adding 7 to the previous term, so the next term is 25.
To find a formula for the nth term of the sequence, we can observe that each term is 7 more than a multiple of 7. In other words, the nth term is given by the formula 7n - 3.
To find the sum of the first 100 terms of the sequence, we can use the formula for the sum of an arithmetic series:
S = (n/2)(a1 + an)
where S is the sum of the first n terms, a1 is the first term, and an is the nth term. Substituting n = 100, a1 = 4, and an = 703, we get:
S = (100/2)(4 + 703) = 35,350
Therefore, the sum of the first 100 terms of the sequence is 35,350.
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H + i3 where i = 1 and h = 19 caculate please
Answer: 22
Step-by-step explanation:
Substitude 1 for i and 19 for H.
19+1(3) = 19+3 = 22
To save up for a car, you work at a trampoline park after school and at a landscaping company on the weekends. You must work at least 4 hours per week at
the trampoline park, and the total number of hours you work at both jobs, in a week, cannot be greater than 15.
Write a system of linear inequalities to model the number of hours that you could work at each location in a week.
Let x = #hours at trampoline park, let y = #hours landscaping
The system of linear inequalities to model the number of hours that you could work at each location in a week is:
x ≥ 4
x + y ≤ 15
What is system of linear inequality?
A system of linear inequalities is a set of two or more linear inequalities with the same variables. It describes a region in the coordinate plane that satisfies all of the inequalities in the system.
In this case, we are trying to model the number of hours that someone could work at two different jobs.
The first inequality given is that the person must work at least 4 hours per week at the trampoline park. Let x be the number of hours worked at the trampoline park. This can be represented as:
x ≥ 4
The second inequality given is that the total number of hours worked at both jobs cannot be greater than 15. Let y be the number of hours worked at the landscaping company. Then, the total number of hours worked can be represented as:
x + y ≤ 15
Together, these two inequalities form a system of linear inequalities that model the possible number of hours that the person can work at each job in a given week.
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Gary, Nancy, and Jamal are trying to write an inequality where all values in the set of numbers below make the inequality true. {0, 1, 3, 4, 6, 12} Consider their inequalities. Gary: 6>0.5t Nancy: 30−t≤18 Jamal: 12≤t+12 Which student(s) wrote an inequality that is true for all values in the set of numbers? Select your answer from the drop-down list.
Therefore , the solution of the given problem of inequality comes out to be Gary and Jamal are the students who created an inequality that holds true for all values in the collection "0, 1, 3, 4, 6, 12".
An inequality is what?Algebra does not have an equal symbol, but a partner or group of integers can be used to represent the difference. Equilibrium is typically followed by equity. Inequality comes from the continued divergence of ideals. Disparity and expression fairness are not identical. Despite the fact that the parts are typically not connected or close to one another, that was our most popular symbol. (). Any difference, no matter how small, can be used to determine worth.
Here,
We can test each inequality with each value in the set, 0 through 1, 3, 4, 6, and 12, to identify which inequality holds true for all values.
6 > 0.5t, where t is a member of the collection, is Gary's inequality. When we compare each value in the collection to this inequality, we discover:
When t = 6: 6 > 0.5(6) is true
When t = 12: 6 > 0.5(12) is true
Therefore, for each value in the collection, Gary's inequality holds true.
30 - t 18 is Nancy's inequality, where t is a number from the collection. When we compare each value in the collection to this inequality, we discover:
When t = 6: 30 - 6 ≤ 18 is true
When t = 12: 30 - 12 ≤ 18 is true
Therefore, not all values in the collection satisfy Nancy's inequality.
Gary and Jamal are the students who created an inequality that holds true for all values in the collection "0, 1, 3, 4, 6, 12".
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What is the percentage change of the number of customers that visited the store in the first week to the number of customers that visited the store in the second week?
The percentage change in the visit of total number of customers in the second week as compare to first week is equal to 16.67%.
Total number of customers visited the store in the first week = 360
Total number of customers visited the store in the second week = 300
Percentage Change = (|First week - second week / First week) x 100%
Substitute the value of the number of customers in different weeks in the formula we get,
Percentage Change
= (|300 - 360| / 360) x 100
= (60 / 360) x 100
=( 100 / 6 )
= 16.66666%
= 16.67%
Therefore, the percentage change in the number of customers that visited the store from the first week to the second week is a decrease of 16.67%.
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The above question is incomplete, the complete question is:
Mr. Davies opened a new retail store. During the first week, 360 customers visited the store. During the second week, 300 customers visited the store.
What is the percentage change of the number of customers that visited the store in the first week to the number of customers that visited the store in the second week?
The basketball team can have at most 5 players on the court at any time. Which inequality best describes the number of players on the court?
The inequality representing the number of players on the court is given by 0 ≤ x ≤ 5.
Let us consider variable 'x' represents the number of players in the basketball team.
As we know,
Number of players is always greater than or equal to zero.
As number of players in the basketball team cannot be negative players.
As per condition,
Number of players in the basketball team = At most 5 players.
This implies,
Number of players in the basketball team is less than or equal to 5
The inequality that best describes the number of players on the basketball court is written as,
⇒ 0 ≤ number of players ≤ 5
⇒ 0 ≤ x ≤ 5
Therefore, the inequality used to represents the number of players in the basketball court is equal to 0 ≤ x ≤ 5.
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3 Which of the following figures have
the same area?
2.9 cm
II
4 cm
2 cm
A. Figures I and II
C. Figures I and III
I
5.8 cm
III 3.7 cm
3.7 cm
B. Figure II and III
D. None of the above
We can see here that the figures that have the same area are: A. Figures I and II.
What is area?Area is a measure of the size of a two-dimensional surface or shape. It refers to the amount of space inside the boundaries of a flat object, such as a rectangle, triangle, or circle. Area is typically measured in square units, such as square meters, square feet, or square centimeters.
The area of Figure I which is a rectangle is = l × b = 2cm × 5.8cm = 11.6cm².
The area of Figure II which is a parallelogram is = b × h = 4cm × 2.9cm = 11.6cm².
Thus, Figures I and II have the same area.
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Write the equation of a circle whose diameter has endpoint (-3,0) and (3,0).
The equation of the circle is with the diameter given is x² + y² = 9.
What is equation of a circle?The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h,k) is the center of the circle.
We can quickly determine the circle's centre and radius thanks to this form. We must first square the x and y terms before rearranging the components in order to transform a circular equation into standard form.
The endpoints of the diameter is (-3,0) and (3,0).
Now, using the section formula the coordinates of radius are:
((-3+3)/2, (0+0)/2) = (0,0
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h,k) is the center of the circle.
Substituting the values:
(x - 0)² + (y - 0)² = 3²
Hence, the equation of the circle is x² + y² = 9.
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How much plastic wrap will be needed to completly cover an ice cream cone that has the slant height of 4,25 inches and a diameter of 2 inches
13.4 square inches of plastic wrap will be needed to completely cover an ice cream cone that has a slant height of 4.25 inches and a diameter of 2 inches.
To completely cover an ice cream cone that has the slant height of 4.25 inches and a diameter of 2 inches, a plastic wrap of about 13.4 square inches will be needed.
How to calculate the amount of plastic wrap required to cover the ice cream cone?
To calculate the amount of plastic wrap required to cover the ice cream cone, we need to find the lateral area of the cone. This can be calculated using the following formula:
Lateral area of cone = πrℓ
where r is the radius of the base of the cone, ℓ is the slant height, and π is the constant pi, which is approximately equal to 3.14.
In this problem, the diameter of the cone is given as 2 inches, which means the radius of the cone will be half of that, i.e., 1 inch. And the slant height is given as 4.25 inches. Therefore, we can calculate the lateral area of the cone as follows: Lateral area of cone = πrℓ = π × 1 × 4.25= 13.4 square inches.
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Solve for x (please help me with this I’m willing to give 20 points)
Answer:
75°
Step-by-step explanation:
The angle in the given figure is 90°.
x + 15 = 90
x = 90 - 15
x = 75°
Help help help help help help help help
Answer:
(5^3)^(-2)
Step-by-step explanation:
5^2 × 5^-8 = 5^-6
(5^3)^(-2) = 5^-6
A block of wood has a mass of 120g and a volume of 200cm3. What is the density of the wood?
Answer:
The density of the wood is 0.6 g/cm^3
Step-by-step explanation:
The density of an object can be calculated by dividing the mass of the object by its volume. In this case, the mass of the block of wood is 120g and its volume is 200cm^3.
Density = mass / volume
Density = 120g / 200cm^3
Density = 0.6 g/cm^3
Therefore, the density of the wood is 0.6 g/cm^3.
WILL MARK BRAINLIEST!!!
PLEASE HELP!
Write Tan A and Tan B
Answer:
Hope this is what you were looking for :)
Step-by-step explanation:
tan = opposite/adjacent
IF YOU DONT NEED TO FIND THE VALUES OF THE SIDES:
tan A = [tex]\frac{x}{11}[/tex]
tan B = [tex]\frac{11}{x}[/tex]
Replace the x for whatever the value of BC is or if it doesn't have a value, you can just leave it as x.
IF YOU DO NEED TO FIND THE VALUES OF THE SIDES:
tan 45 = 1
tan 45 = [tex]\frac{BC}{11}[/tex]
(11) tan 45 = BC
BC = 11
tan 45 = [tex]\frac{11}{AC}[/tex]
AC = [tex]\frac{11}{tan 45}[/tex]
AC = 11
This can also be done without using tangent from taking a look at special right triangles.
In 45-45-90 triangles, the two legs are the same size while the hypotenuse is equal to one of the legs multiplied by [tex]\sqrt{2}[/tex]. In doing this, we can find that both legs are 11 and the hypotenuse is [tex]11\sqrt{2}[/tex].
Factor 72 + 32. Write your answer in the form a ( b + c) where a is the gcf of 72 and 32
Factor 72 + 32 in the form of a ( b + c) with A having gcf is 72 + 32 is 8(9 + 4).
To factor 72 + 32, we first need to find the greatest common factor (GCF) of 72 and 32.
The prime factorization of 72 is 2³ x 3², and the prime factorization of 32 is 2⁵.
The common factors of 72 and 32 are 1, 2, 4, 8, and 16. The greatest common factor is 8, since it is the largest factor that they both share.
So, we can write 72 + 32 as:
72 + 32 = 8 x (9 + 4)
Therefore, the factored form of 72 + 32 is 8(9 + 4).
To factor 72 + 32, we need to find the greatest common factor (GCF) of 72 and 32, which is 8. We can then use this GCF to write 72 + 32 in factored form as 8(9 + 4). This expression can also be simplified as 8(13), which equals 104. This means that 72 + 32 can be written as the product of 8 and 13, where 8 is the GCF of 72 and 32, and 13 is the sum of the quotients of 72 and 32 when divided by 8. Factoring expressions is an important skill in algebra and is used in many areas of mathematics and science.
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Help pleasee it’s urgent
Equation:
89.50=2.35c+5.50d
If theres 22 dogs and cats in total you can plug in number less than 22 for c(# of cats) and d(# of dogs).
So we try pats numbers 8 cats and 14 dogs so
89.50=2.35(8)+5.50(14)
89.50=18.8+77
89.50=95.8
So pats numbers were wrong so we try different numbers
So i started pluging in numbers from under 22 so i got c is 10 and d is 12 lets try it with the equation
89.50=2.35(10)+5.50(12)
89.50=23.5+66
89.50=89.50 so it works the answer to how many number of dogs and cats is 12 dogs and 10 cats
a ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls. find the probability of the given event.
If a ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls, the probability of drawing a red ball from the jar is approximately 0.47 or 47%.
The probability of a red ball being drawn from the jar can be calculated as follows:
Total number of balls in the jar = 8 red + 3 white + 6 yellow = 17
Probability of drawing a red ball = (Number of red balls in the jar) / (Total number of balls in the jar) = 8/17 ≈ 0.47
This means that if we were to draw a ball from the jar randomly, there is a 47% chance that the ball we draw will be red.
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Complete question is:
A ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls. find the probability of the given event.
What is what is the probability of a Red ball being drawn?
what is the term for 2x + 4y - 2
Answer:
The term 2x+4y-2 is a binomial equation.
Step-by-step explanation:
Factoring said equation: 2(x+2y-1)
x intercepts: (1,0)
y intercepts: (0, 1/2)
a dependent variable that maintains constant measurements throughout an experiment will be depicted by a
A dependent variable that maintains constant measurements throughout an experiment will be depicted by a straight, horizontal line in a graph.
In an experiment, the dependent variable is the variable being measured, and it is expected to change in response to changes in the independent variable. However, if the dependent variable remains constant throughout the experiment, it indicates that it is not affected by the independent variable.
When such a situation arises, the data points for the dependent variable will be located at the same level or value, resulting in a horizontal line in the graph.
This straight, horizontal line represents the constant measurements of the dependent variable, and it can provide valuable insights into the nature of the relationship between the independent variable and the dependent variable.
A dependent variable that maintains constant measurements throughout an experiment may indicate a flaw in the experimental design, such as an incorrect assumption about the nature of the relationship between the independent variable and the dependent variable, or an uncontrolled confounding variable.
Therefore, it is important to carefully analyze the data and the experimental design to identify and address any potential issues.
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Explain when each method (graphing,
substitution, and linear combinations) is a good
method to find a solution to a system
of equations.
Method 1: Graphing
Graphing is best when the both equations are shown in slope-intercept form. For example:
[tex]y=\frac{1}{2} x+2\\y=-\frac{1}{2} x+4[/tex]
[tex](2,3)[/tex]
You can easily graph this system of equations and find the intersecting point. The graph is displayed below. This may not always be the case, however and you may get complicated fractions in your answer. In this case, substitution or elimination may be better.
Method 2: Substitution
Substitution is a good method to solve a system of equations when one of the equations can be rearranged to isolate one variable, or the equation already solves for a variable. This isolated expression can then be substituted into the other equation(s) to create a new equation(s) with only one variable.
For example, consider the system of equations:
[tex]y=x-2\\2x-5y=1[/tex]
Since y is much easier to substitute, we can choose y to substitute into the other equation:
[tex]2x-5(x-2)=1[/tex]
We can then simplify the equation:
[tex]2x-5x+10=1\\-3x=-9\\x=3[/tex]
Then you can substitute x into the original equation:
[tex]y=3-2\\y=1[/tex]
Solution: [tex](3,1)[/tex]
Substitution can be a useful method when the system involves two or three variables and one equation can be easily rearranged to isolate a variable. However, it can become more difficult or time-consuming when the system involves more variables or when the equations are not solving for a variable or can be easily solved. In these cases, other methods such as elimination is more efficient.
Method 3: Elimination
Elimination is a good method to solve a system of equations when the equations can be added or subtracted in a way that eliminates one of the variables.
For example, consider the system of equations:
[tex]x+y=90\\x-y=18[/tex]
We can cancel out the variable y and add the other numerals and variables:
[tex]2x=108[/tex]
This simplifies to:
[tex]x=54[/tex]
We can then solve for y:
[tex]54+y=90\\y=36[/tex]
Solution: [tex](54, 36)[/tex]
Once we have the value of x, we can substitute it back into one of the original equations to solve for y.
Although elimination is slightly more complicated, it is the most efficient method out of all of the three methods I have shown here.
Hope this helped you :)
(This took like 30 minutes ;-;)
The amount of time required for each of 100 mice to navigate through a maze was recorded. The histogram below
shows the distribution of times, in seconds, for the 100 mice.
Which of the following values is closest to the standard deviation of the 100 times?
(A) 2.5 seconds
(B) 10 seconds
(C) 20 seconds
(D) 50 seconds
(E) 90 seconds
The closest value to the standard deviation of the 100 times is (C) 20 seconds.
To determine the closest value to the standard deviation of the 100 times, we would need the actual histogram or the data points themselves.
In general, the standard deviation measures the spread or dispersion of a set of values. A higher standard deviation indicates a greater dispersion, while a lower standard deviation indicates a smaller dispersion.
Looking at the given options, (A) 2.5 seconds and (B) 10 seconds are relatively small values, which suggests a low dispersion among the times. On the other hand, options (D) 50 seconds and (E) 90 seconds are larger values, indicating a higher dispersion.
Option (C) 20 seconds falls in between the smaller and larger values. While it is difficult to determine the exact standard deviation without the data, option (C) of 20 seconds seems like a reasonable choice as it represents a moderate spread among the 100 times.
Therefore, the closest value to the standard deviation of the 100 times is (C) 20 seconds.
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