Step-by-step explanation:
Very simple… first convert everything to the same denominator…
1/8 + 2/8 + 3/8… Add the numerators together, and you get 6/8.
Simplify 6/8 to its lowest form… and your answer is ⅙ !
Annie averages 23 points per basketball game with a standard deviation of 4 points. Suppose Annie's points per basketball game are normally distributed. Let X = the number of points per basketball game. Then X ~ N(23,4) Provide your answer below: The mean is Suppose Annie scores 34 points in the game on Sunday. The z-score when x-34 is This z-score tells you that x=34 is standard deviations to the right of the mean.
This z-score tells you x = 34 is 2.75 standard deviations to the right of mean. And the mean is 23.
What is standard deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
Given:
Annie averages 23 points per basketball game with a standard deviation of 4 points.
Suppose Annie's points per basketball game are normally distributed.
Let X = the number of points per basketball game.
By Notation,
X ~ N(23,4) means E(X) = 23, SD(X) = 4
Mean = 23 , Standard deviation = 4
So,
[tex]Z_s_c_o_r_e = \frac{Value - Mean}{Sd}\\Z_s_c_o_r_e = \frac{34-23}{4}\\ = \frac{11}{4} Z_s_c_o_r_e = 2.75[/tex]
mean = 23
This z-score tells you x = 34 is 2.75 standard deviations to the right of mean.
Hence, this z-score tells you x = 34 is 2.75 standard deviations to the right of mean. And the mean is 23.
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Question 4
According to a survey of 1,362 adult college students, the mean number of alcoholic beverages consumed
per week is 15, with a standard deviation of 3 beverages. What test statistic is calcuated for this scenario?
The test statistic calculated for this scenario is the test of the significance of the mean.
What is mean?
Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."
For example, if there are 3 students getting numbers 10, 20, and 30 in math then their mean is 10 + 20 + 30 / 3 = 60 / 3 = 20.
Given:
According to a survey of 1,362 adult college students, n = 1362,
The mean number of alcoholic beverages consumed, μ = 15,
The standard deviation, σ = 3,
As you can see here the sample is greater than 30 i.e. n > 30 and the value of standard deviation is also present then,
The static test, z can be given as shown below,
z = (X - μ) / σ / √n
Here, z is the static test and X is the sample mean.
Thus, the test of the significance of the mean can be calculated for this scenario.
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With an interest of $1711.11 and a principal of $14000 for 220 days, use the ordinary interest method to determine the rate. (Round your answer to the nearest whole percent)
A.20%
B.12%
C.25%
D.22%
The interest rate required to accumulate a simple interest of $ 1,711.11 in 220 days is approximately 20%.
What is the interest rate of the investment?The simple interest formula is expressed as;
I = P × r × t
Where I is interest, P is principal, r is interest rate and t is time.
Given the data in the question;
Principal P = $14000 Interest I = $1711.11Elapsed time t = 220 days = 220/365 yearInterest rate r = ?Plug the given values into the above formula and solve for interest rate r.
I = P × r × t
$1711.11 = $14000 × r × 220/365yr
1711.11 = 616000/73 × r
r = 1711.11 ÷ 616000/73
r = 0.20227776
Rate R = r × 100%
Rate R = 0.20227776 × 100%
Rate R = 20%
Therefore, rate of the investment is 20%
Option A is the correct answer.
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1. Suppose that there are 5 children in a gymnastics class. One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down. The results are: Ashley (20), Brittany (8), Carol (22), Darla (26), and Erica (24). The mean number of steps these children took while walking on their hands is 20 steps. (a) Identify the population and the parameter. ate the mean number of steps taken while walking on their
(b) List all 10 poss SRSs of size n-2. Ca hands for each sample. (c) Display the sampling distribution of the sample mean on a dotplot.
Based on the probability concept, the population is number of children in gymnastic class is 5 and the parameter is mean number of steps taken by the 5 children.
Probability:
In math probability deals with the occurrence of a random event and the value is expressed from zero to one.
Given,
Suppose that there are 5 children in a gymnastics class.
One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down.
The mean number of steps these children took while walking on their hands is 20 steps.
Here we need to find the the population and parameter.
Based on the given question,
We know that the parameters are descriptive measures of an entire population and their values are usually unknown because it is infeasible to measure an entire population.
Therefore, you can take a random sample from the population to obtain parameter estimates.
Similarly, for the population could simply be referred to as the total number or set of similar objects or subjects related to a certain study or research.
Here the given scenario described above, the area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class makes up the population.
And then the parameter on the other hand are statistical metrics, values or calculations derived from the population figure or information.
So, the mean value of steps obtained from the step counts of the population data is called the parameter.
And the parameter is a value that describes a characteristic of an entire population, such as the population mean.
Therefore, the population mean and standard deviation are two common parameters.
=> Population = number of children in gymnastic class = 5.
=> Parameter = mean number of steps taken by the 5 children.
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Bill Roundy bought 800 shares of a mutual fund with an NAV of $14.10. This fund has a load charge of 3%.
a. What is the offer price? (Round your answer to the nearest cent.)
b. What did Bill pay for the investment?
1. The offer price of the 800 shares of a mutual fund with a NAV of $14.10 that Bill Roundy bought is $11,280.
2. For this investment, Bill paid $11,618.40, including the load charge of 3%.
What is a load charge?A load charge is a sales commission that investors pay when they buy (front-end load) or redeem (back-end load) shares in a mutual fund.
What is NAV?NAV means net asset value.
NAV refers to the difference between the investee company's total assets and its total liabilities.
The total number of mutual fund shares bought by Bill = 800
The net asset value of the shares = $14.10
Load charge = 3%
Offer price = $11,280 (800 x $14.10)
Amount Bill paid for the investment = $11,618.40 ($11,280 x 1.03)
Thus, with an offer price of $11,280 for the mutual fund, Bill Roundy paid a total of $11,618.40, including the load charge.
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PLEASE HELP ME!! I WILL GIVE YOU BRAINLIST!!!!
Answer: it should be C.
Step-by-step explanation: because its ascking to describe the formation.
Use cylindrical coordinates. Evaluate x2 + y2 dV, E where E is the region that lies inside the cylinder x2 + y2 = 9 and between the planes z = −2 and z = 5.
The region that lies inside the cylinder between the planes z = −2 and
z = 5 is 324π
Using cylindrical coordinates,
the integral becomes
∫∫∫ (r2) drdθdz, E
where E is the region that lies inside the cylinder r2 = 9 and between the planes z = −2 and z = 5.
The integral can be evaluated as follows:
= ∫₋₂⁵∫₀²π∫₀³ [tex]r^2[/tex]drdθdz
= ∫₋₂⁵∫₀²π(3[tex]r^3[/tex]/3) dθdz
= ∫₋₂⁵ (2π × (3 × 93/3)) dz
= ∫₋₂⁵ (108π) dz
= (108π × (5 − (−2)))
= 324π
The region that lies inside the cylinder between the planes z = −2 and
z = 5 is 324π
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The integer X, Y and Z each are perfect squares X greater than y greater than z greater than zero if x, y, z from an AP the smallest possible value of X is
49 is the smallest possible value of x.
Given: x, y, and z are three perfect square numbers.
What is the least x that can be?
Currently, we have three numbers by the stipulation:
x > y > z > 0
and AP has these figures.
Let's now list every perfect square from 1 to 10 in the following order: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
As a result, we can observe that 25 is equal to the product of 1 plus 49.
The possible outcomes are 1, 25, and 49.
If x = 49 and z = 1, then
x + z / 2 = y
49 + 1 / 2 = y
y = 50 / 2
y = 25
Y is therefore 25 and X is 49.
As a result, 49 is the lowest value of x that can exist.
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the questions in this activity refer back to prelab 0, which would be a good place to look if you need any help. in test a, suppose you make 100 experimental measurements of some quantity and then calculate mean, standard deviation, and standard error of the numbers you obtain. in test b, suppose you make 400 experimental measurements of the same quantity and you again calculate mean, standard deviation, and standard error.
1) Which of the following statements is the most likely description of the comparison of the standard deviations found in Test A and Test B? o The standard deviations found in Test A and Test B will be about the same. o The standard deviation found in Test A will about be twice as big as the standard deviation found in Test B. o The standard deviation found in Test A will about be four times as big as the standard deviation found in Test B. o The standard deviation found in Test B will about be twice as big as the standard deviation found in Test A. o The standard deviation found in Test B will about be four times as big as the standard deviation found in Test A. Submit 2) Which of the following statements is the most likely description of the comparison of the standard errors found in Test A and Test B? o The standard errors found in Test A and Test B will be about the same. o The standard error found in Test A will about be twice as big as the standard error found in Test B. o The standard error found in Test A will about be four times as big as the standard error found in Test B. o The standard error found in Test B will about be twice as big as the standard error found in Test A. o The standard error found in Test B will about be four times as big as the standard error found in Test A. Submit 3) This question and the next one refer to a hypothetical experiment in which you slide red and green blocks down an identical ramp to see how far they go before stopping. After doing three trials of each case you find that the best estimate of the distance slid by red blocks is 15 + 3 feet and that the best estimate of the distance slid by green blocks is 25 + 4 feet. Find the t' parameter for the comparison of the distance slid by red and green blocks. o t' = 2.0 o t' = 2.5 o t' = 3.0 o t' = 3.5 o t' = 4.0 Submit 4) Suppose the experiments described in Question 3 are testing the claim that the distance slid by a block does not depend on the color of the block. Which of the following conclusions regarding this claim is most consistent with your data? o The claim is true. o The claim is false. o The claim might be true or it might be false.
The value of the standard deviation does not change and remains the same.
Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.
The mean μ = 82.4
The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]
we have to find the variance,
We now add a constant k to each data value and calculate the new mean μ'.
μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k
We now calculate the new mean standard deviation σ'.
σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]
Note that x + k - μ' = x + k - μ - k = x - μ
also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ
Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ
If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.
Hence, the standard deviation does not change.
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What’s the answer please help
Whole numbers are written on cards and then placed in a bag. Denzel randomly selects a single card, writes down the number, and then places it back in the bag. He repeats this 110 times.
Denzel calculates the relative frequency of each number card.
Outcome 1 2 3 4 5
Relative Frequency 0.23 0.41 0.09 0.13 0.15
Which statement about Denzel's experiment is true?
Responses
The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Denzel's experiment.
The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Denzel's experiment.
The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Denzel's experiment.
The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Denzel's experiment.
The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Denzel's experiment.
The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Denzel's experiment.
The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Denzel's experiment.
The statement that is true about Denzel's experiment is that D. The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Denzel's experiment.
What is the true statement about the information?Uniform models are only useful for equally likely probabilities, so they are ineffective here. In statistics, a uniform distribution is a type of probability distribution in which every possible outcome has an equal chance of occurring. Because each variable has an equal chance of being the outcome, the probability is constant.
All events have an equal chance of occurring in a uniform probability mode. Rolling any one side of a six-sided fair die, for example, has the same probability: one out of six. In this situation, when Denzel randomly selects a single card, writes down the number, and then places it back in the bag, the probability are different.
Therefore, the correct option is D.
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TRUE/FALSE. if the rank of the augmented matrix of a system of n linear equations in n unknowns is greater than the rank of the matrix of coefficients, then the matrix of coefficients is nonsingular
It is false that if the rank of the augmented matrix of a system of n linear equations in n unknowns is greater than the rank of the matrix of coefficients, then the matrix of coefficients is nonsingular
The augmented matrix is an extension of a matrix in which we add a column ( non homogeneous part of the system)
Say , Ax = b
Here , b is column part
So , Augmented matrix will be [ A : b ]
The Rank of augmented matrix can be found by performing elementary row operations on a augmented matrix and counting the number of the rows without zero comparing the rank of an augmented matrix
The rank of coefficient matrix can determined if there is a solution to the system of solution
In the question this statement,
If the rank of the augmented matrix of a system of n linear equations in n unknowns is greater than the rank of the matrix of coefficients, then the matrix of coefficients is nonsingular is false
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Find the Slope:
A. 2
B. -2
C. 1/2
D. -1/2
In a km race A beats B by 60m Or 7s. What is the time taken by A over the course
The time taken by A over the course is 109.3 s
How to determine the time taken by the course?The given parameters that will help us to solve the problem is
A beats B by 60m in 7s
Length of track = 1km
Distance by which A beats B = 60m
And the time by which A beats B is 7 seconds
Time taken by A over the course according to the problem is
A covers 60m in 7 secs
Let us consider the formula,
Speed = Distance / Time
The Speed of B= 60/7 m/s = 8.6 m/s
This implies that Time taken by B over the course = Distance / Speed
= 1000/8.6 = 116.3 s
According to the problem, if A reaches earlier , then time taken by A = (116.3 - 7) s = 109.3 s
In conclusion time taken by A over the course is 109.3 s .
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Find the perimeter in centimeters.
Answer: 210
Step-by-step explanation:
Answer: 210cm
Step-by-step explanation:
This is a parallelogram, the sides opposite of each other are congruent. So we can just add up all the sides 50+50+55+55=210cm.
• For which of the following equations is (3, - 1) not a solution?
Therefore , x +3 =y is the equation which is not the solution of point (3,-1)
What is equation ?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. It is demonstrated that the expressions on the left and right are equivalent to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations.
Here,
The given equations are ( a) x-4= y (b) 2x -7 =y (c ) x +3 =y ( d) x/3 = -y
Thus from the given equation
We put, values in each of equation to find that values satisfy the equation or not
Thus, we found x +3 =y does not satisfy the point (3,-1)
Therefore , x +3 =y is the equation which is not the solution of point (3,-1)
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The correct question is -
For which of the following equations is (3, - 1) not a solution?
Group of answer choices - y=x-1, -3x=4y-6, 2y-3x=0, 5x+2y=-16
write a statement that associates s with a set that contains the following elements: 23, 42, -11, 89.
A statement that associates s with a set that contains the following elements: 23, 42, -11, 89 is s = set ( [ 23 , 42 , -11 , 89 ] )
Given :
a statement that associates s with a set that contains the following elements: 23, 42, -11, 89.
Statement :
A statement is an instruction that the Python interpreter can execute.
We have seen two kinds of statements: print and assignment.
When you type a statement on the command line, Python executes it and displays the result, if there is one. The result of a print statement is a value.
we can write :
s = set ( [ 23 , 42 , -11 , 89 ] )
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Writing equations of lines
Write the equation of each line with the given information
Through: (5,3), parallel to y = 1/5x +1
Step-by-step explanation:
you marked the important pieces of information correctly.
a parallel line must have the same slope. otherwise it is tilted differently, and it is therefore not parallel.
the slope in a y = ... equation is always the factor of x.
in our case therefore 1/5.
so, the parallel line starts with
y = (1/5)x + b
and to get b we use the x and y coordinates of the given point :
3 = (1/5)×5 + b = 5/5 + b = 1 + b
b = 2
and our equation is
y = (1/5)x + 2
Which is the same as sin^-1 x
arccos x
arcsin x
arctan x
The expression that is the same as sin⁻¹ x is (b) arcsin x
How to determine the equivalent expression?From the question, we have the following sine expression that can be used in our computation:
sin^-1 x
When this expression is rewritten, we have the following representation
sin⁻¹ x
The above expression is pronounced as arc-sin of x
And it can be represented as
arcsin x
This means that the equivalent expression of the given expression is (b) arcsin x
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which of the following statements are true of this rational function
On solving the question, we got to know that - Due to this, at x=0 there is no vertical asymptote , there is a removable discontinuity at x= -a
When does a function reach its vertical asymptote?Consider a function f(x) that is continuous for all values of a, changes in value as x approaches a while remaining undefined at x = a. increase. The vertical asymptote of f(x) at x = a is now a vertical line that may be drawn.
According to its study, the function's asymptote and discontinuity are found to be as
Due to this, at x=0 there is no vertical asymptote
and, also there is a removable discontinuity at x= -a
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fy(y)=0.2e^(-0.2y),y>=0
What is the probability that the buyer waits more than 10 minutes?
The probability that the buyer waits more than 10 minutes is 0.0271
How to determine the probability that the buyer waits more than 10 minutes?From the question, we have the following parameters that can be used in our computation:
Probability function:
fy(y)=0.2e^(-0.2y), y ≥ 0
The inequality expression y ≥ 0 means that
The value of y is atleast 0
The probability that the buyer waits more than 10 minutes means that
y = 10
So, we have the following representation
y = 10 in fy(y)=0.2e^(-0.2y)
Substitute the known values in the above equation, so, we have the following representation
fy(10)=0.2e^(-0.2 * 10)
Evaluate the exponents
fy(10)=0.2 * 0.13533528323
Evaluate the products
fy(10) = 0.0271
Hence, the probability is 0.0271
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find the sum by adding each term together. use the summation capabilities of a graphing utility to verify your result. (round your answer to four decimal places.) 5 1 k2 4 k
The result of the following summation is 114.
We are given the following summation, i = 1 to 6 ∑(4i + 5)
To determine the sum by adding the values, we will substitute the values of i, starting from i = 1 to i = 6, in the expression.
= 4(1) + 5 + 4(2) + 5 + 4(3) + 5 + 4(4) + 5 + 4(5) + 5 + 4(6) + 5
= 4(1) + 4(2) + 4(3) + 4(4) + 4(5) + 4(6) + 30
= 4 + 8 + 12 + 16 + 20 + 24 + 30
= 114
Thus, the result of the sum is 114.
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Rewrite the equation `6y=2x+12`into slope intercept form.
Answer:
y=1/3x+2
Step-by-step explanation:
................
Answer:
y=1/3x+2
Step-by-step explanation:
slope intercept form: y=xm+b
6y=2x+12
/6 /6
y=2/6x+2
y=1/3x+2
have a great day!
Please please help!!!
Answer:
correct answer is option b i think...
A piece of cheese is shaped like a triangle. It has a height of 2.5 inches and a base that is 4.75 inches long. If 1 inch = 2.54 centimeters, find the area of the cheese in square centimeters. Round the answer to the nearest square centimeter.
The area of cheese is 38 square centimeters.
What is a triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Given that the height of the cheese is 2.5 inches and the base is 4.75 inches.
The value of 1 inch is 2.54 centimeters.
Now convert 2.5 inches and 4.75 inches into centimeter:
2.5 inches = (2.5 × 2.54) centimeters = 6.35 centimeters
4.75 inches = (4.75 × 2.54) centimeters = 12.065 centimeters
The area of triangle is (1/2) × base × height
The area of the cheese is [(1/2) × 6.35 × 12.065] square centimeter
=38.31 square centimeter
= 38 square centimeters (nearest square centimeter)
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the area of a rectangle is square feet. determine the length and width if the length is times the width.
According to the given area of rectangle, the length and width of the rectangle is 7 and 21 respectively.
Area of rectangle
The standard form of calculating the area of the rectangle is written as,
A = l x w
where l refers the length and w refers the width of the rectangle.
Given,
Here we have given that the area of a rectangle is 147 square feet. And we need to determine the length and width if the length is three times the width.
Let us consider length of rectangle is n,
Then the width of rectangle is 3n.
Here we have to remember that the area of a rectangle is
=> A = n x 3n = 3n²
Here we are told that the area,
=> 3n²=147
Then the value of n² = 49
Therefore, the length is 7 and the width is 21.
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The universities budget covers cost for nine months what is Amy’s monthly budget for textbooks in course supplies? What is her monthly budget for rent on utilities and food? What is your monthly budget for a personal and miscellaneous cost? what is her total monthly budget?
Amy’s monthly budget for textbooks equals $900.00
Amy's monthly budget for rent, utilities and food equals $12,798.
Her monthly budget for a personal & miscellaneous cost equals $2,259.
Her total monthly budget equals $15,957.
What does Budget mean?A budget is refers to an estimation of the revenue and expenses over a specified future period of time and is usually compiled and re-evaluated on a periodic basis.
Budget for textbooks:
= $900.00
Budget for rent, utilities and food:
= $12,798.
Budget for personal and miscellaneous cost:
= $2,259.
Total monthly budget:
= $900 + $12,798 + $2,259
= $15,957
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The amount of work done in a certain amount of time is called?
By the information provided in the question, we can say that , Power is the measure of how much work can be done in a given amount of time.
What is work?Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance travelled for a constant force directed in the direction of motion.
Power measures how quickly labor is completed or energy is used. It is equal to the work completed divided by the time required to do the task. The Watt (W), which is a unit of power, is equivalent to a Joule per second (J/s).
Power is the measure of how much work can be done in a given length of time.
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Consider the following.
C: line segment from (0, 0) to (4, 8).
(a) Find a parametrization of path C.
r(t) = _____ 0
≤
t
≤
1
(b) Evaluate ∫
C
(
x
2
+
y
2
)
d
s
along C.
A parametrization of path C is x= 4t and y = 8t
Line segments on nearly trivial to parametrize. It is often it easiest to do in interval t∈ [0,1]
Then we just need to think about what we need to add to each first coordinate to get the second
Since, 0+ 4 = 4 and 0+ 8 = 8
So, parametrization is
=> x = 4t
y = 6t
(b) To evalute the line integral, we have to derivate parametrize
dx/dt = 4
dy/dt = 8
So, the differential line element is
[tex]ds = \sqrt{(\frac{dx}{dt})^2 + (\frac{dy}{dt})^2}[/tex]
=> √(4)²+(8)²
=> 4√5
Integrating ,
[tex]\int\limits_{c} {x^2 + y^2} \, ds\\ = \int\limits^1_0 {(4t)^2 + (8t)^2 } 4\sqrt{5} \,dt\\=4\sqrt{5} [\frac{80}{3} t^3]^{1}_{0}\\[/tex]
Putting the limits
=> 285.51
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{ax+3y=10
kx−3y=6
In the system of equations above, a and k are constants. If the solution to the system is (2,1) , what is the value of a+k ?
Answer:
a+k =7
Step-by-step explanation:
In the given system of equations, ax + 3y = 10 and kx - 3y = 6, we are told that the solution to the system is (2,1). This means that when we plug the values x = 2 and y = 1 into the equations, we get two true statements.
To find the value of a + k, we can start by plugging the values x = 2 and y = 1 into the first equation to get:
a(2) + 3(1) = 10
Next, we can solve for a by dividing both sides of the equation by 2:
a + 3/2 = 5
a = 5 - 3/2 = 5/2
Next, we can plug the values x = 2 and y = 1 into the second equation to get:
k(2) - 3(1) = 6
Next, we can solve for k by dividing both sides of the equation by 2:
k - 3/2 = 3
k = 3 + 3/2 = 9/2
Finally, we can add the values of a and k to find the value of a + k:
a + k = (5/2) + (9/2) = 14/2 = 7
Therefore, the value of a + k is 7.
