Answer:
The government owes Bart the excess Social Security tax that he paid, which is the amount of tax he paid on his income above the maximum income for Social Security. In this case, that would be $118,500 (the maximum income for Social Security) minus $99,112 (what he earned at his first job) minus $56,222 (what he earned at his second job) = $13,166. So the government owes Bart $13,166 for the excess Social Security tax he paid.
Answer:
Step-by-step explanation:
He earned a total of 155,334.
99112 plus 56222.
subtract the max income from the income total
155,334 - 118500 = 36834
He is owed the social security tax he paid on 36834.
The problem does not give the social security rate.
Please help me with the following question.
Step-by-step explanation:
a . median (Q2) =
[tex] \frac{1(n + 1)}{2} [/tex]
[tex] \frac{1(31 + 1)}{2} [/tex]
[tex] \frac{32}{2} = 6[/tex]
therefore the position of the media is the 6th term
6th term =3,11
b. first quartile(Q1)=
[tex] \frac{1(n + 1)}{4} [/tex]
[tex] \frac{1(31+ 1)}{4} [/tex]
[tex] \frac{32}{4} = 8[/tex]
8th term= 2,56
C. third quartile(Q3)=
[tex] \frac{3(n + 1)}{4} [/tex]
[tex] \frac{3(31+ 1)}{4} [/tex]
[tex] \frac{96}{4} = 24[/tex]
24th term = 3,85
D. IQR = Q3 - Q1
= 3,85 - 2,56
= 1,29
e.
[tex]fi = 2.56 - 1.5 \times 1.29 [/tex]
[tex]fi = 0.625[/tex]
[tex]fu = 3.85 + 1.5 \times 1.29[/tex]
[tex]fu = 5.785[/tex]
You are at a restaurant and your bill comes to $34.78. You need to add the sales tax which
is 6%. You have one $20 bill, two $10 bills, one $5 bill, five $1 bills, and some pennies.
F
.
.
How much is your total bill including tax?
How much should you give the server so you do not get back any pennies?
What denominations will you use for this?
Use the equation editor to show your work.
In order to find the answer to this problem, we want to do the following:
First, we need to find the sales tax value:
$34.78 + 6% sales tax
$34.78 * 1.06
$36.87 (rounded to the nearest hundredth)
The total bill is equal to $36.87
Now to find which bills to give to the server:
$20 + $10 + $5 + $1 = $36
Then, you can give the server 87 pennies.
Answer:
Step-by-step explanation:
34.78 + 34.78(0.06) = 36.87 Total bill
Pay 37.07 and you get 15 cents back (1 dime, 1 nickel)
Pay with:
1-$20
1-$10
1-$5
2-$1
2-pennies
Total: 20+10+5+2+0.02 = $37.02
$37.02 - $36.87 = $0.15 (this is your change, no pennies)
when the significance level is small enough in the f-test, we can reject the null hypothesis that there is no linear relationship.
Correct, in a hypothesis test using an F-test, the significance level refers to the probability of rejecting the null hypothesis when it is actually true.
The F-test is a statistical test used to determine if there is a significant linear relationship between two variables.
In the F-test, the null hypothesis is that there is no linear relationship between the variables, while the alternative hypothesis is that there is a linear relationship. When the significance level (usually denoted by alpha) is set to a small value, such as 0.05, we can use the F-test to determine if the observed relationship between the variables is likely due to chance or if it is a real, significant relationship.
If the calculated F-value is greater than the critical value for the given significance level, we reject the null hypothesis and conclude that there is a significant linear relationship between the variables.
On the other hand, if the calculated F-value is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant linear relationship between the variables.
Read more about F-Test:
https://brainly.com/question/29999859
#SPJ4
A data set has 24 data points. Enter values to answer each of the questions below. I Will Give Brainist
The number of data points above the median is 12, number of data points below the 1st quartile is 6 and the number of data points between 1st and 3rd quartile is 12.
What is Median?Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.
There are 24 data points in a data set.
Let x₁, x₂, .........., x₂₄ be the data points arranged in an increasing order.
Since the number of elements are even, median is the average of middle two elements.
Median = (x₁₂ + x₁₃) / 2, which will be in the middle of x₁₂ and x₁₃.
Number of elements above median = number of elements from x₁₃ to x₂₄ = 12
First quartile range is the average of the first part of elements which has been divided by the median.
Average of x₁, x₂, ......., x₁₂
1st quartile, Q₁ = (x₆ + x₇) / 2, which is located in the middle of x₆ and x₇.
Number of data points below 1st quartile = 6
Third quartile is the average of the second part of elements which has been divided by the median.
Average of x₁₃, x₁₄, ......., x₂₄
3rd quartile = (x₁₈ + x₁₉) / 2, which is located in the middle of x₁₈ and x₁₉.
Number of elements between 1st and 3rd quartile = 12
Hence the number of elements in each of the range is found.
Learn more about Median here :
https://brainly.com/question/23444910
#SPJ1
In City A, 35% of all residence have at least 3 people living in the residence and in City B, 40%
of all residence have at least 3 people living in the residence. A residence will be selected from
each city. What is the probability that both residences have at least 3 people living in the
residence?
O 0.86
0.14
O 0.75
OL
2
(
(
The probability that both residences have at least 3 people living in
residence is 0,75. Answer: C
The probability that a residence selected from City A has at least 3 people living in it is 35%, and the probability that a residence selected from City B has at least 3 people living in it is 40%. To find the probability that both events occur (i.e., that both residences have at least 3 people living in them), you would multiply the individual probabilities:
0.35 * 0.40 = 0.75.
Answer: C
Learn more about The probability at https://brainly.com/question/13604758
#SPJ1
GEOMETRY (Rotation 90 degrees)
If R(x, y) is a point that needs to be rotated about the origin, then coordinates of this point after the 90° rotation will be R'= (y, -x)
How to rotate 90 degrees clockwise about a point?When rotated through 90° about the origin in the clockwise direction, the new position of point P (2, 3) will become P' (3, -2)
So, each point has to be rotated and new coordinates have to be found. Then we can join the points and find the new positioned figure.
Thus, if R(x, y) is a point, then the coordinates of this point after the 90° rotation will be R'= (y, -x).
Learn more about rotation in anticlockwise on https://brainly.com/question/19669892
#SPJ1
Two identical moving balls of mass 6 kg have clastic collisioa where the first ball was moving at $ m/s before collition. Find the initial velocity of the second ball if the kinetic energy of the system after collision is 75 j.
A-200 m/s
B-4m/s
C-6m/s
D-3 m/s
Answer: The correct answer is D-3 m/s.
Step-by-step explanation: To find the velocity of the second ball, we need to use the principle of conservation of kinetic energy.
The total kinetic energy before the collision is equal to the total kinetic energy after the collision.
Initial kinetic energy = $\frac{1}{2} * 6 * v^2$
Final kinetic energy = $\frac{1}{2} * 6 * 6 + \frac{1}{2} * 6 * v^2 = 75$
Solving for v, we get v = 3 m/s.
Need help ASAP please
Please find attached the drawing of the segment IK, the angle bisector of angle ∠HIJ that measures 52°, created with MS Word
What is an angle bisector?An angle bisector is a line or segment that divides an angle into two congruent angles.
The steps to construct an angle bisector are as follows;
With the indicated angle in the question, place the compass needle at the vertex, I, then draw an arc that intersects the rays that form the anglePlace the pointer at one of the intersection of the arc and the ray IJ that form the angle, and with a suitable compass openine, draw an arc in the interior region of the anglePlace the compass pointer at the second point of intersection of the arc from step one and the ray IH and with the same radius used in step 2, draw a second arc to intersect the first one and label the point KDraw a line joining K to I The segment IK is the angle bisector of the angle ∠HIJLearn more on geometric construction here: https://brainly.com/question/28568076
#SPJ1
Try This question out and I’ll give you brainliest
Answer:
See below
Step-by-step explanation:
The U.S has more people under 18 than China does: correct
There are more people under 18 than age 45-60 in the US: correct
The population of China is more than four times of the US: You can't tell given the graph
There are more people age 19-44 than any other age group in the US: correct
Suppose that a country has approximately 2,900 cellular phones per 1,000 people. Express the number of phones per person as a whole or mixed number
The country has approximately 3 cellular phones per person.
What is Unit Rate?Unit rate is the amount of one quantity for a unit amount of the other quantity.
In other words it compares 1 unit of some quantity with different amount of another quantity.
Given that a country has approximately 2,900 cellular phones per 1,000 people.
Number of cell phones for 1000 people = 2900
Number of cell phones for 1 person = 2900 / 1000 = 2.9 ≈ 3
Hence there are approximately 3 cellular phones per person.
Learn more about Unit Rate here :
https://brainly.com/question/29781084
#SPJ1
All 12 kids from Mrs. Appleton's class that went to the beach went swimming, but only 3/9 of hem wanted to go surfing. How many kids wanted to go surfing?
Answer
3 kids wanted to go surfing.
Given the following functions:
f(x) = 2x+6
Find (h-f)(x).
○ 4x² - 3x + 7
O 4x² 2x - 1
O 4x² + 3x + 3
O 4x² + 2x + 11
g(x) = 3x - 2
h(x) = 4x² + 5
12121211.ooooooooooo
Which of the following variables are categorical and which are numerical? If the variable is numerical, then specify whether the variable is discrete or continuous. a. Colors of cars in a mall parking lot. - Categorical - Numerical; discrete - Numerical; continuous b. Time it takes each student to complete a final exam.
- Categorical - Numerical; discrete - Numerical, continuous c. The number of patrons who frequent a restaurant. - Categorical - Numerical; discrete - Numerical continuous
The Variable "Colors of cars in a mall parking lot" is (a) categorical variable and not a numerical variable.
A Categorical Variable is defined as a type of variable which takes on one of a limited, and usually fixed, number of possible values.
In this case, the possible values are different colors of cars such as red, blue, green, etc. Categorical variables are also known as nominal variables because they do not have an inherent order or mathematical meaning.
a Categorical variables are different from Numerical Variables, which are variables that have a numerical value that can be used to perform mathematical operations.
The given question is incomplete , the complete question is
Which variables is categorical and which are numerical ? If the variable is numerical, then specify whether the variable is discrete or continuous.
Colors of cars in a mall parking lot. -
(a) Categorical
(b) Numerical - Continuous
(b) Numerical - Discrete
Learn more about Variables here
https://brainly.com/question/17291241
#SPJ4
Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 80 miles an hour. Don noticed that 4 hours into the trip they were 675 miles from the destination.
Answer: 830 Miles
Step-by-step explanation:
Distance = Speed x Time
60 x 3 = 180 Mi
3 hours = 180
Total Distance from their destination
= Distance traveled by them in 3 hours + 650 miles
= 180 miles + 650 miles
= 830 miles
Edit: 180 Miles*
PLEASE HELP THANK YOU SO MUCH
could someone help me out?
The inequality equation is x ≤ 7 and represented as ←. with number 7 included
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x - 1 ≤ 6 be equation (1)
On simplifying the equation , we get
Adding 1 on both sides of the equation , we get
x ≤ 7
Therefore , the value of x is less than or equal to 7
Hence , the inequality is x ≤ 7
To learn more about inequality equation click :
https://brainly.com/question/11897796
#SPJ1
Expand the expression 8(x-4)
Convert the following equations from standard form to slope-intercept form. 1-x-2y=-6
Answer:
The given equation 1 - x - 2y = -6 is in standard form, and can be converted to slope-intercept form (y = mx + b) by solving for y.
To do this, we first add x and 2y to both sides of the equation to get:
1 + x + 2y = -6
Next, we divide both sides of the equation by 2 to get:
(1/2) + (1/2)x + y = -3
Finally, we rearrange the equation to get:
y = -(1/2)x - 3
Therefore, the equation in slope-intercept form is y = -(1/2)x - 3.
Please help me with the following question.
The probability that her total wait time over the course of 60 das is less than 5.5 hour is a. 0.426.
What is Normal Probability Distribution?Problems of normal distributions can be solved using the z-score formula.
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In a set with mean and standard deviation , the z-score of a measure X is given by:
Z = (X - μ)/ σ
The mean μ= 6
The standard deviation σ = √12
For n instances of a normal variable, 60 days, for each day, mean 6, variance of 12.
So,
z = 330 - 360/720
z = 1.12
P(Z <-1.12) = 0.426
Thus, the correct answer is given by option A 0.426.
Learn more about normal distribution here:
brainly.com/question/15395456
#SPJ1
Please help me im struggling so much in this!
1. The probability that the student is a male who earned an A is 9 / 19.
2. The probability that the student is a female who earned a C is 4 / 21.
3. The probability that the student is a male is 38 / 59.
4. The probability that the student earned a B is 29 / 59.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
1. The probability that the student is a male who earned an A is given as,
P = 18 / 38
P = 9 / 19
2. The probability that the student is a female who earned a C is given as,
P = 4 / 21
3. The probability that the student is a male is given as,
P = 38 / 59
4. The probability that the student earned a B is given as,
P = 29 / 59
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ1
Which of the following is true?
Group of answer choices
three and three ninths plus seven and six elevenths equals ten and eighty seven ninety ninths
two and three eighths plus six and four fifths equals eight and twelve fourtieths
three and three sevenths plus four and two thirds equals seven and two twenty ones
four and five sixths plus five sevenths equals nine and ten thirteenths
Answer:
three and three ninths plus seven and six-elevenths equals ten and eighty-seven ninety ninths
Step-by-step explanation:
Pls mark me brainliest
Question 1
2
The winner of the 95th annual hotdog eating contest consumed 207 hotdogs (and buns!) in 10 minutes.
You are determined to break this record, so you would have to consume 208 hotdogs and buns in 10 minutes.
How many hotdogs would you have to eat every minute to beat the last winner?
Type the number of hotdogs in the blank below (JUST the number).
Assuming you eat at the average rate needed to win the contest, how many total hotdogs will you consume in two minutes?
Type the number of hotdogs in the blank below (JUST the number).
Assuming you eat at the average rate needed to win the contest, how many total hotdogs will you consume in three minutes?
Type the number of hotdogs in the blank below (JUST the number).
You need to consume 20.8 hotdogs in 1 minute in order to beat the winner. Hotdogs consumed in 2 minutes = 2(20.8) = 41.6. Hotdogs consumed in 3 minutes = 3(20.8) = 62.4.
What is cross multiplication?To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.
Given that:
208 hotdogs = 10 minutes.
x = 1 minute
Using the cross multiplication we have:
x = 208 / 10
x = 20.8 hotdogs.
Hence, you need to consume 20.8 hotdogs in 1 minute in order to bea the winner.
Hotdogs consumed in 2 minutes = 2(20.8) = 41.6.
Hotdogs consumed in 3 minutes = 3(20.8) = 62.4.
Learn more about cross multiplication here:
https://brainly.com/question/11203238
#SPJ1
Find the area (in square inches) of the shape shown below.
A cell phone company estimates that a cell phone loses about 15% of its value each year after it is purchased. The function f(x)=900(0.85)^x represents the estimated value (in dollars) of a cell phone 5 years after its purchase. What is the domain and range?? PLEASE HURRY THIS IS DUE IN AN HOUR
The domain of the function f(x) = 900(0.85)^x is the set of real numbers, since the value of x (the number of years after purchase) can be any real number.
The range of the function is non-negative real numbers and less than 900, since the value of the function (the estimated value of the cell phone in dollars) will always be non-negative and less than the original price of 900 dollars, since it is losing value every year.
Step-by-step explanation:
What are the numbers?
10 and 35 are the numbers that divides 78 with remainder 8.
What is Division?A division is a process of splitting a specific amount into equal parts.
Dividend is the number that is to be divided by the divisor.
Divisor is the number by which the dividend is to be divided is called the divisor.
Quotient is the resultant of the division is called the quotient.
Remainder is the number that is left after division is called the remainder
78/10
70/10+8
and 78/35 which gives 70/35+8
Hence, 10 and 35 are the numbers that divides 78 with remainder 8.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ1
Question
A data set is summarized in the frequency table
below. The data set contains a total of 40 data
values. What is the missing frequency?
Value
1
2
3
4
Cr
5
6
7
8
Frequency
2
4
9
[]
6
8
2
4
The required Missing Frequency is 3.
What is frequency ?Frequency is a measure of the number of occurrences of a given event within a specified period of time. It can refer to the number of times a particular event happens in a unit of time.
Such as the number of times a wave or vibration occurs in a second, or the number of times an action occurs in a given period. In physics, frequency is measured in hertz (Hz); in electrical engineering, it is measured in cycles per second (cps). Frequency is also used in mathematics, music, and sound engineering.
Value Frequency
1 2
2 4
3 9
4 ?
5 6
6 8
7 2
8 4
Total 40
We have to find the Missing frequency:
Computation:
Missing frequency = Total frequency - Counted
Missing frequency = 40 - 37
Missing frequency = 3
To learn more about frequency visit:
brainly.com/question/1094036
#SPJ1
Please help me with this question.
Answer:
103 minutes or, equivalently, 1 hour 43 minutes
Step-by-step explanation:
These types of -problems are referred to as work rate problems or sometimes work rate time problems
To solve these types of problems find the rate of work of each individual and add up the rates to find the combined rate for all individuals
Let's use x for Mr Cole and y for Mrs. Cole
The important piece of info here is that all the bedrooms are the same size so the work rate for any bedroom is the same for x and the same for y
y can paint a bedroom in 4 hours.
So rate of work for y = 1/4 bedroom per hour
x can paint the bedroom in 3 hours
So rate of work for x = 1/4 bedroom per hour
Let t be the time in hours taken for both of them to paint a bedroom
Each of them will work t hours irrespective of their rate of work
For x the work done is [tex]\dfrac{1}{3}t = \dfrac{t}{3}[/tex] of the bedroom
For y the work done is [tex]\dfrac{1}{4}t = \dfrac{t}{4}[/tex] of the bedroom
Together in t hours they finish 100% of the bedroom; ie 1
So
[tex]\dfrac{t}{3} + \dfrac{t}{4} =1\\\\\dfrac{4t + 3t}{12} = 1\\\\\dfrac{7t}{12} = 1\\\\t = \dfrac{12}{7} \;hours\\\\\text{In minutes this would be:\\}\\\\\dfrac{12}{7} \cdot 60 = 102.85 \;\rm{minutes}}[/tex]
Rounded to the nearest minute that would be 103 minutes or
[tex]\dfrac{103}{60} \;\rm{ hours}[/tex]
The quotient is 1 and the remainder is 43 when you divide 103 by 60
That means it takes 1 hour and 43 minutes for both of them working together to paint the third bedroom
What is the scale factor? Question 4 options: 6 3 1/3 1/6
The scale factor is discussed below.
What is scaling? How is it done?Scaling is defined as the process of changing the dimensions of the original figure as per some specific proportional rule.If the initial length is equivalent to {a}. Then, after the scaling by the scale factor of {K}, the length becomes {Ka}. Similarly, if the initial coordinates are (x, y) then after scaling the coordinates would be {Kx, Ky}.Given is the scale factor.
Scale factor is a dimensionless quantity that tells by how much time a specific dimension of a figure is enlarged or reduced. Mathematically, it is the ratio of two similar quantities. In case of length scaling, we can write -
K = L{final}/L{initial}
Therefore, the scale factor is discussed above.
To solve more questions on translations, visit the link below -
https://brainly.com/question/12463306
#SPJ1
Two systems of equations
For each system, choose t
If applicable, give the solu
System A
x+3y=6
-x-3y=-6
For the given system t is not application. There is no solution for the system.
What do you understand by solution ?In mathematics, the phrase "solution" refers to a particular value or set of values that satisfies a given equation or set of equations. Finding a solution to the problem is a necessary step in solving a system of equations.
A value for the unsolved variable that makes the equation true is referred to as the solution.
The solutions are all the values of x in the domain such that f(x) = g if we have two functions f and g that both map to the same co-domain (x).
An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution.
To know more about equation visit
brainly.com/question/15707224
#SPJ1
7.____________________means the number is divisible `by the number one and itself (it has exactly two factors only).
Prime Number means the number is divisible by the number one and itself (it has exactly two factors only).
What are Prime Numbers?
Natural numbers called prime numbers can only be divided by the number itself and by number 1. Alternatively stated, prime numbers are positive integers higher than one that have exactly two factors, 1, and the number itself.These are the first ten prime numbers: 2. 3. 5. 7. 11. 13. 17. 19. 23. 29.The number 1 neither qualifies as a prime nor a composite. With the exception of 2, which is both the smallest prime number and the only even prime number, all prime numbers are odd numbers.Every number over 1 can be divided by at least one prime, and even positive integers over two can be written as the sum of two primes.To learn more about Prime Numbers from the given link
https://brainly.com/question/1593928
#SPJ1
