amahle makes the minimum salary for an actuary. asaad makes the median salary for a cpa. who makes more money?
Answers
Asaad having median salary makes more money in comparison to Amahle who makes minimum salary.
From the attached box plot we have,
Box plot always shows,
First Minimum → Lower quartile → Median → Upper quartile → Maximum
The minimum salary for an actuary is equals to
Approximately 35 dollars
And the median salary for a CPA from the box plot is equals to,
Approximately 60 dollars
Here , by comparing the both the values we have,
Median salary for CPA (60 dollars ) is greater than minimum salary for actuary ( 35 dollars ).
The median salary for a CPA is typically higher than the minimum salary for an actuary.
Therefore, Asaad representing median salary makes more money than Amahle .
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The above question is incomplete, the complete question is:
Amahle makes the minimum salary for an actuary. Asaad makes the median salary for a CPA. Who makes more money?
Box plot is attached.
Related Questions
if AD = 2x + 4 and CD = 4x - 4, find the value of x
Answers
If AD = 2x + 4 and CD = 4x - 4, and they share point D, then x must be equal to 4.
What is the equation?An equatiοn is a mathematical statement that indicates that twο expressiοns are equal.
Hοwever, we can use the fact that they share pοint D tο set them equal tο each οther and sοlve fοr x:
AD = CD
2x + 4 = 4x - 4
Collecting like terms:
2x - 4x = -4 - 4
-2x = -8
Dividing both sides by -2:
x = 4
Hence, if AD = 2x + 4 and CD = 4x - 4, and they share point D, then x must be equal to 4.
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write two trillion,seven billion in standard form
Answers
Answer:
2,007,000,000,000
Step-by-step explanation:
The numbers from left to right here are:
2 trillion
0 hundred billion
0 ten billion
7 billion
0 hundred million
0 ten million
0 million
0 hundredthousand
0 ten thousand
0 thousand
0 hundreds
0 tens
0 ones
1). Solve this 11-11x11+11=?
Answers
Answer:
121
Step-by-step explanation:
11x11=121
121+11=132
132-11=121
The area of a triangle with the perimeter of 11cm,6cm and the height of 4cm
Answers
The area of the triangle with two of its sides are 8cm, 11cm and 13 cm and the perimeter is 32cm is 8√30 cm².
Since the perimeter of the triangle with sides a, b and c is a+b+c, therefore, perimeter of triangle with sides 8 cm, 11 cm and c cm with perimeter 32 cm is:
32=8+11+c
c=32−19
c=13
So the sides of triangle are 8 cm, 11 cm and 13 cm
We use heron's formula to find the area of the triangle.
Let us find the semi perimeter:
S = (8+11+13)/2
S = 32/2
S = 16
Now area of the triangle is:
A= √s(s−a)(s−b)(s−c)
A = √16(16−8)(16−11)(16−13)
A = √(16×8×5×3)
A = √1920
A =8√30 cm²
Hence, the area of the triangle is 8√30 cm².
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—-------- Correct question format is given below —--------
(Q). Find the area of a triangle, two of its sides are 8cm and 11cm and the perimeter is 32cm.
an orange grower determines that when 24 orange trees are planted on an acre of ground, the yield is 40 bushels of oranges per tree. each additional tree planted decreases the yield by 1 bushel per tree due to overcrowding. how many orange trees should be planted per acre in order to produce the highest yield for the grower?
Answers
The optimal number of orange trees to plant per acre in order to produce the highest yield for the grower is 32.
Let x be the number of additional trees beyond 24 that are planted per acre. Therefore, the total number of orange trees planted per acre will be 24 + x.
The yield of oranges per tree decreases by 1 bushel for each additional tree planted, so the yield per tree can be expressed as:
40 - x
The total yield of oranges per acre can be calculated by multiplying the yield per tree by the total number of trees planted:
(40 - x)(24 + x)
To find the optimal number of trees to plant, we want to maximize this expression. We can do this by finding the maximum value of the quadratic expression (40 - x)(24 + x).
To do this, we can use the formula for the vertex of a quadratic function, which is:
x = -b / (2a)
where a and b are the coefficients of the quadratic expression in standard form (ax^2 + bx + c).
In this case, the quadratic expression is:
(40 - x)(24 + x) = -x^2 + 16x + 960
So, a = -1 and b = 16. Plugging these values into the formula for the vertex, we get:
x = -16 / (2(-1)) = 8
Therefore, the optimal number of additional trees to plant beyond the initial 24 trees is 8. The total number of trees to plant per acre is 24 + 8 = 32.
To check that this is indeed the optimal number, we can calculate the yield for adjacent values of x:
When x = 7: (40 - 7)(24 + 7) = 33 * 31 = 1023
When x = 8: (40 - 8)(24 + 8) = 32 * 32 = 1024
When x = 9: (40 - 9)(24 + 9) = 31 * 33 = 1023
Therefore, the optimal number of orange trees to plant per acre in order to produce the highest yield for the grower is 32.
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A project has four activities that take 4, 3, 6, and 7 days respectively. What is the total completion time for the project?
3 days, as this is the minimum time
7 days, as this is the maximum time
20 days, as this is the sum of the times
It is not possible to determine the total completion
time from the given information
Answers
Answer:
20 days
Step-by-step explanation:
To find the total time, we will just add up the days.
4 + 3 + 6 + 7 = 20 days.
Answer:
(d) not possible to tell from information given
Step-by-step explanation:
You want to know the total completion time for a project with four activities that take 4, 3, 6, and 7 days.
Completion timeThe project completion time will be determined by the dependencies between activities.
SeriesIf each activity must be completed before the next, then the total time will be 4+3+6+7 = 20 days.
ParallelIf there are no dependencies and all activities can be done in parallel, then the total completion time is 7 days, the time required for the longest activity.
In short, it is not possible to determine the total time from the information given.
Given the sequence: 18, 9, 0, -9,.
Is the sequence arithmetic, geometric, or something else?
If the sequence is geometric, what is the common ratio?
Answers
If the sequence is geometric, the common ratio 2:1.
In mathematics, an Sequence is an enumerated collection of objects in which repetition is allowed and in case order. Like a collection, it contains members (also called elements or items). The number of elements (possibly infinite) is called the length of the array. Unlike sets, the same item can appear multiple times at different positions in the sequence, and unlike sets, order matters. Formally, a sequence can be defined in terms of the natural numbers (positions of elements in the sequence) and the elements at each position.
The concept of series can be generalized as a family of indices, defined in terms of any set of indices.
According to the Question:
Given GP is 18,9,0,-9.
Common ratio = second number/ first number
= 18/9
= 2
So, the common ratio is 2:1
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Consider the following discrete probability distribution 40 PIXEx) 0.15 0.38 0.26 02 15 34 a. Is this a valid probability distribution? Yes No c. What is the probability that the random variable X is less than 37? (Round your answer to 2 decimal places.) Probability d. What is the probability that the random variable X is between 11 and 26? (Round your answer to 2 decimal places.) Probability e. What is the probability that the random variable X is greater than 17? (Round your answer to 2 decimal places.)
Answers
We first check if all the given values are non-negative. We can see that all the values given are greater than or equal to zero, so this condition is satisfied.
In part a, we are given a set of values and asked to determine if they form a valid probability distribution.
A probability distribution is a function that assigns probabilities to each possible value of a random variable. In order for a set of values to form a valid probability distribution, the following conditions must be met:
All values must be non-negative: This means that the probability of any event cannot be negative. In other words, the probability of any event occurring must be greater than or equal to zero.
The sum of all values must be equal to 1: Since the probability of an event occurring is always between 0 and 1, the sum of all probabilities must add up to 1. This ensures that all possible outcomes of an experiment are accounted for.
In part a, we first check if all the given values are non-negative. We can see that all the values given are greater than or equal to zero, so this condition is satisfied.
Next, we check if the sum of all values is equal to 1. We add up all the given values and get 1.3. Since this value is greater than 1, the sum of probabilities is not equal to 1 and hence, this is not a valid probability distribution.
In parts b, c, d and e, since the given distribution is not valid, we cannot calculate probabilities using it.
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find the critical value that corresponds to the given confidence level.
Answers
The critical value that corresponds to a 90% confidence level is 1.645.
When we are given a confidence level, we can use a confidence interval to calculate the margin of error, and with that we can find the critical value. The critical value is the value that represents the number of standard deviations we need to go from the mean to capture a certain proportion of the distribution.
For example, for a 95% confidence level, we want to capture 95% of the distribution, so we need to go 1.96 standard deviations from the mean.To find the critical value that corresponds to a given confidence level, we need to use a table of critical values for the standard normal distribution. This table tells us how many standard deviations we need to go from the mean to capture a certain proportion of the distribution.
For example, the critical value for a 95% confidence level is 1.96, while the critical value for a 99% confidence level is 2.58. So, if we are given a confidence level of 90%, we need to find the critical value that corresponds to capturing 90% of the distribution.Using the table of critical values, we find that the critical value for a 90% confidence level is 1.645.
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A large retail company has 500 stores in the United States and 300 stores in Europe. The average number of employees per store is 200, for a total of 100,000 employees in the United States and 60,000 employees in Europe. The company is considering offering employees one of the two benefits--one additional day of paid vacation per year or a small increase in pay. A survey will be given to a sample of employees to investigate which benefit is preferred and whether there is a difference in preference between employees in United States and Europe.
Two sampling methods are
Sampling Method 1: The company will randomly select 8 stores from 800 stores. All employees from 8 selected stores will be asked which benefit they prefer.
Sampling Method 2: The company will randomly select 1000 employees from the list of all the employees in United States stores and 600 employees from a list of all employees in Europe stores. All 1600 selected employees will be asked which benefit they prefer.
a) One of the two methods results in a stratified sample of employees and the other results in a cluster sample of employees.
Identify the sampling method that results in a stratified sample of employees, and identify the strata.
Identify the sampling method that results in a cluster sample of employees, and identify the clusters.
b) Give one statistical advantage and one statistical disadvantage of using sampling method l.
c) Explain a statistical advantage of using sampling method 2 rather than using a simple random sample
Answers
A large retail company has different stores in the United States and in Europe.
a) i) Sampling method 2, results in a stratified sample of employees and strata is US And Europe.
ii) Sampling method 1, results in a Cluster sample of employees and Clusters: 8 (Employees of each 8 Stores).
b) Advantage and disadvantage of sampling method l is provided below.
c) Accurate Sampling, is statistical advantage of using sampling method 2 over a simple random sample.
We have the following information about problem :
1) In United States company and Europe company have 500 and 300 stores and a total of 100000, 60000 employees respectively (200 per store).
2) benefits offered by company are 1) One additinal day of paid vacation per year 2) Small increase in salary. Company wants to Know which offer is preferred and does employees in US And in Europe has difference of preference.
Method 1: Randomly selecting 8 stores out of 800 stores.Method 2: Selecting 1000 employees from 100000 employees from US And 600 employees out of 60000 employees from Europe.Now A)
i) Stratified sample of employees
Sampling Method number : 2Strata: 2 (US And Europe)Because in stratified sampling technique researcher identifies the contrubution of each strata in overall population. As in this case company chose 1000 employees out of100000 employees from US And 600 employees out of 60000 from Europe. Dividing them in 2 strata depending on there contribution in the over all population.
ii) Cluster sample of employees
Sampling Method number: 1 Clusters: 8 (Employees of each 8 Stores)Because in cluster sampling researcher divides sample in different groups (clusters) then researcher choose groups randomly for data analysis. groups get equal chance to be represented. In this example 8 stores (clusters) choosen randomly for study.
B) Sampling method 1 : Statistical advantage:
Consumes less time and Cost and convenient to apply Statical disadvantage:Accurate sampling is not guaranteed as proper representation of different groups in the population depending upon there representation is not practiced.
C) Statical advantage of sampling method 2 over simple random sample. In Sampling method 2 (Stratified sampling) Researcher identifies the contribution of each starata in population then picks the appropiriate sample size. Thus the most important advantage of method 2 over simple random sample is Accurate Sampling (attribution of each strata is properly represented in the sample chosen from the population).
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I dont even need an explanation on how u got the answer just help please!
Answers
Ok so I have this math assignment I have to do and I missed school can someone help me please ?
Answers
3. Coordinates: A’ (-1,-1); B’ (1,2); C’ (2,-2).
4. Coordinates: G’ (0,-3); H’ (2,-3); I’ (3,-1); J’ (-1,-1).
5. Coordinates: P’ (-2,4); Q’ (-2,1); R’ (0,4). Rule (-y, x).
6. Scale factor = 1.5
Here is a picture of the graphed figures and work:
Hope this helps!
a rectangular box without a lid is to be made from 48m2 of cardboard. find the maximum volume of such a box. g
Answers
answer 48h. The maximum volume of a rectangular box without a lid can be found using the equation: V = l x w x h, where V is the volume, l is the length, w is the width, and h is the height.
To solve this problem, you need to first determine the length, width, and height of the box. Since you have 48 m2 of cardboard, you can rearrange the equation to solve for one of the variables.
48 m2 = l x w
w = 48/l
Once you have determined the width, you can then use the equation to solve for the length and the height.
V = l x 48/l x h
V = 48h
Therefore, the maximum volume of such a box is 48h, where h is the height of the box.
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HELP ME PLEASE
Use the graph to answer the question.
Answers
Answer:
the other line is over more the line that is on the left so its 6 units to the left
A 12-foot section of fence
costs $300.00.
What is the price per foot?
Answers
Explanation: Dividd the total price ($300) by the total number of units (12 feet)
300/12=25
Don’t forget to add your dollar sign! Our final answer is $25 per foot.
Math problem help pleaseee :)
Answers
The length of time it would take you to pay off the balance at $ 50 per month is 29.5 months.
The monthly payment on the credit card if one was to pay off the debt in 2 years is $132.34.
How to find the time taken to pay the balance ?To find out how long it will take to pay off the credit card balance, we can use the TVM (Time Value of Money) solver.
First, we need to convert the APR to a monthly interest rate:
i = (1 + 0.19)^(1/12) - 1 ≈ 0.0149 or 1.49% (monthly interest rate)
Now, we can use the TVM formula to find the number of periods (n):
PV = PMT x (1 - (1 + i)^(-n)) / i
1,245 = 50 x (1 - (1 + 0.0149)^(-n)) / 0.0149
Solving for n:
n = 29.5 months
To find the monthly payment on the credit card, we are given:
PV (Present Value) = $2,456.80
n (number of periods) = 2 years x 12 months/year = 24 months
APR (Annual Percentage Rate) = 23.99%
We can use the TVM formula to find the monthly payment (PMT):
PV = PMT x (1 - (1 + i)^(-n)) / i
2,456.80 = PMT x (1 - (1 + 0.0182)^(-24)) / 0.0182
Solving for PMT:
PMT = $132.34
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Hello! When using compelting the square, arent you just technically putting the standard form equation you have into vertex form?
Answers
Answer:
standard to vertex form : s*v
In a regular algebra class, completing the square is a very useful tool or method to convert the quadratic equation of the form [tex]y = a {x^2} + bx + c y = ax2 + bx + c[/tex] also known as the “standard form”, into the form [tex]y = a [ (x - h)^2] + k y = a(x - h)2 + k[/tex] which is known as the vertex form.
a bacteria culture initially contains 1500 bacteria and doubles every half hour. find the size of the bacterial population after 40 minutes.
Answers
The size of the bacterial population after 40 minutes.= 1572864000.
What is unitary method?"A way to find a multiple unit value from a single unit value as well as the reverse."
In every case, we first count the unit or amount value before figuring out the more or less amount value.
This method is referred to as a unified procedure for this reason.
By dividing the set value by the quantity of sets, one can find numerous set values.
By dividing several set values by the total number of sets, one can determine a set value.
According to our question-
A = 1500(2)600/30
A = 1500(2)20
A = 1500(1048576)
A = 1572864000
Hence, The size of the bacterial population after 40 minutes.= 1572864000.
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Can someone please help me ASAP it’s due today!! I will give brainliest if it’s correct.
Answers
Answer:
The top and the bottom statement are correct. This is an independent compound event because the first choice does not affect the second choice.
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 25 minutes of calls is $26.25, and the remaining credit after 51 minutes of calls is $22.35. What is the remaining credit after 65 minutes of calls?
Answers
Let x be the total calling time made with the card (in minutes).
Let y be the remaining credit on the card (in dollars).
We can use the given information to create two equations in slope-intercept form:
Equation 1: y = mx + b (for the data point (25, 26.25))
Equation 2: y = mx + b (for the data point (51, 22.35))
To solve for the equation of the line, we need to find the slope (m) and y-intercept (b) of each equation. We can use the two data points to create a system of two equations:
Equation 1: 26.25 = 25m + b
Equation 2: 22.35 = 51m + b
We can solve this system using elimination or substitution. Here's how to solve using substitution:
Solve Equation 1 for b:
b = 26.25 - 25m
Substitute this expression for b into Equation 2:
22.35 = 51m + (26.25 - 25m)
Simplify and solve for m:
22.35 = 26m + 26.25
-3.9 = 26m
m = -0.15
Now that we know the slope of the line is -0.15, we can substitute this value into either equation to solve for b. Let's use Equation 1:
26.25 = 25(-0.15) + b
b = 29.5
Therefore, the equation for the line is:
y = -0.15x + 29.5
To find the remaining credit after 65 minutes of calls, we can plug in x = 65 into the equation and solve for y:
y = -0.15(65) + 29.5
y = 20.75
Therefore, the remaining credit after 65 minutes of calls is $20.75.
5. Gunner is putting money into his piggy bank. He put 12 quarters, 16 dimes, 17 nickels, and 26 pennies into his piggy bank. How much money did Gunner put into his piggy bank?
Answers
Answer: $5.71
Step-by-step explanation:
Answer:
Step-by-step explanation:
12 quarters = $3
16 dimes = $1.60
17 nickels = $0.85
26 pennies = $0.26
Add everything up and you get $5.71
3. Simplify the expression and find its value when a = 5, b = – 3. 2a2 + b2 + 1 – a2
Answers
The value of the expression when a = 5 and b = -3 is 35. We can calculate it in the following manner.
We can simplify the expression as follows:
2a² + b²+ 1 - a²
= a² + b² + 1
Substituting a = 5 and b = -3 into the expression, we get:
5² + (-3)² + 1
= 25 + 9 + 1
= 35
Therefore, the value of the expression when a = 5 and b = -3 is 35.
When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated. Formulas can be changed with values to assist us solve a variety of problems.
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Sarah walked 5 miles less than twice the number of miles that Semir walked. They each collected $18 in pledges for every mile they walked. Let n represent the number of miles Semir walked. Write an expression for the number of miles Sarah walked. Let n represent the number of miles Semir walked. Write an expression for the amount of money Sarah collected in pledges. Write an equation to find how many miles Semir walked if Sarah collected $450 in pledges. Solve the equation that you wrote for question 5. How many miles did Sarah walk? SungSo also collected $18 in pledges for every mile he walked. Inaddition, his grandmother gave him a $72 donation. He collected the same amount of money as Sarah did. Write and solve an equation to find the number of miles SungSo walked.
Answers
Step-by-step explanation:
Semir = n
Sarah = 2n - 5
Sarah's expression =. 2n-5
Sarah's equation = 18(2n-5)
Semir's equation = 18(2n-5) = 450
n = 15
Sarah walked 2(15) - 5 which is 25 miles.
SungSo:
18x + 72 = 450
x = 21
What does the differences between the price after value added tax (VAT) and price after discount of any article give us?
Answers
Answer:
sp
Step-by-step explanation:
1) The difference between the MP and VAT is
mp- VAT AMT. And as we know the formula to find
sp in presence of MP and VAT amt is sp
sp=Mp- Vat AMT
2). For MP after discount is also sp.
sp =MP - discount amt
An expression is shown below. 2√ 51x Which value of x makes the expression equivalent to 10√51 ?
a 6
b 25
c 50
d 100
Answers
Answer:
B:25
Plug it in to check
Factor 72x^2 + 72x^2+ 18x
Answers
Answer: 18x(8x+1)
Step-by-step explanation:
72x^2 + 72x^2+ 18x
144x^2+18x
72x^2 + 72x^2+ 18x
18(8x^2+x)
18(8x^2+x)
18x(8x+1)
hopes this helps!
a high school coach claims that the average pulse rate of those trying out for sports is 62.4 beats per minute (bpm). the ap statistics instructor suspects this is a made-up number and runs a hypothesis test on a simple random sample (srs) of 32 students trying out for sports, calculating a mean of 65.0 bpm with a standard deviation of 10.3 bpm. what is the p-value?
Answers
We can conclude that the high school coach's claim is wrong, and the average pulse rate of students trying out for sports is not 62.4 bpm. The p-value is 0.014.
To compute the p-value, the following steps will be carried out in order;
State the null and alternative hypotheses and select a level of significance (α).
Then, apply the Z-test.
Statistical inference should be made.
The P-value should be calculated.
The findings must be interpreted.
This test is carried out to see whether the given data (sample) is enough to refute the null hypothesis that the mean population pulse rate is 62.4 bpm. ([tex]H_O[/tex]).
The alternate hypothesis ([tex]H_A[/tex]) is that the mean pulse rate is not equal to 62.4 bpm. ([tex]H_A[/tex]).
Hence; [tex]H_O[/tex]:
µ = 62.4 bpm [tex]H_A[/tex]: µ ≠ 62.4 bpm
We choose a level of significance of α= 0.05.
The significance level is usually referred to as alpha (α), which is a probability threshold that the sample data is used to assess.
When the null hypothesis is rejected, alpha (α) is the probability of making a Type I mistake.
When the null hypothesis is correct, it represents the probability of rejecting it.
We'll next use the Z-test in this scenario, which is the most common type of hypothesis test for population means when the population standard deviation (σ) is known.
The Z-test is performed using the following formula;
Z = (X - µ) / (σ / √n)
where; X = sample mean
µ = hypothesized population mean
σ = population standard deviationn = sample size
Substituting the values given;
Z = (65.0 - 62.4) / (10.3 / √32)Z = 2.17 (to 2 decimal places)
The p-value is calculated next;
P (Z > 2.17) = 0.014 (to 3 decimal places).
In conclusion, since the P-value is less than the significance level, we reject the null hypothesis.
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please help i will give 20 points for both answers
Answers
Answer:
1. A - [tex]y\leq \frac{3}{2} x+3[/tex]
2. D - (1,5)
Step-by-step explanation:
The equation [tex]y\leq \frac{3}{2} x+3[/tex] fits this graph.
y has to be less than x due to the shaded part of the graph being on the underside of the line
To confirm this we can plug in a value to see if the inequality is true
I will use the origin as an example:
[tex]0\leq \frac{3}{2} (0)+3[/tex]
[tex]0\leq 3[/tex]
This inequality is true meaning this point is in the shaded region of the graph
Also the equation has to have an equal to because it has a solid line and not a dotted line
The point that isn't a solution is (1,5) due to the fact it isn't in the shaded region and when plugged into the equation gives a false inequality
[tex]5\leq \frac{3}{2} (1)+3[/tex]
[tex]5\leq \frac{3}{2}+3[/tex]
[tex]\frac{10}{2} \leq \frac{9}{2}[/tex]
This inequality is false which means the point (1,5) isn't a solution to this equation.
Answer:
1.) A
2.) D
Step-by-step explanation:
1.) find equation of line:
b=3, m=1.5
y=1.5x+3
shaded is below therefore
y[tex]\leq[/tex]1.5x+3
*line under inequality because line is solid
2.) (1,5) is not a solution because it is above shaded figure
in the township of springfield, renovating homeowners must pay a fee of $35 per square foot they add to their house past 25% of the original square footage. in springfield, eamon pays a $2,800 fee after adding 380 square feet to his home. What was the original square footage of eamon's home?
Answers
The answer calculates the original square footage of Eamon's home based on the $35 fee per square foot paid for adding 380 square feet past 25% of the original square footage. The original square footage of Eamon's home is 1,520 square feet.
Let's assume that the original square footage of Eamon's home was "x". According to the problem, he had to pay a fee of $35 for every square foot he added past 25% of the original square footage.
Therefore, the square footage he added to his home past 25% of the original square footage was:
380 - 0.25x
And the fee he paid was $2,800. So we can write an equation:
35(380 - 0.25x) = 2,800
Simplifying the equation, we get:
13,300 - 8.75x = 0
Solving for x, we get:
x = 1,520 square feet
Therefore, the original square footage of Eamon's home was 1,520 square feet.
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Help me with these math problems please
Answers
a) No, there aren't shared rays.
b) Yes.
C) Vertical angles.
d) 2x = 50 + 8
e) x = 29.
Do the two angles share a ray?Yes, clearly the two angles only share the common vertex which is B, all the rays startat that point, and in this case the rays for ABC are BA and BC.
Whie the rays for DBC are BD and BC.
So no, there aren't shared rays.
b) Yes, when the angles only share the vertex, these are called opposite or vertical angles, and it means that the two angles have the same measure.
c) As we said above, vertical angles.
d) The measures must be equal, then.
2x - 8 = 50
e) Solving that for x we will get:
2x = 50 + 8
2x = 58
x = 58/2 = 29
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