They are exempt from income tax and we would get the income tax withheld as $340.
What is tax?
The person does not have another source of income, and there are no exceptions that are claimed by the person.
The withheld tax which is held every week can be calculated as;
Amount of income tax = 30 % of 1,166
Amount of income tax = $339.6
Amount of income tax = $340
Hence, they are exempt from income tax and we would get the income tax withheld as $340.
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Teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on. Both sets of data have a mean teaching year of 8. 2, with data recorded from 200 teachers at High School A and 221 teachers at High School B. On the histograms, each interval represents possible integer values from the left endpoint up to but not including the right endpoint. (a) The median teaching year for one high school is 6, and the median teaching year for the other high school is 7. Identify which high school has each median and justify your answer. (b) An additional 18 teachers were not included with the data recorded from the 200 teachers at High School A. The mean teaching year of the 18 teachers is 2. 5. What is the mean teaching year for all 218 teachers at High School A
The mean teaching year for all 218 teachers at High School A is 7.73 if the teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
We have two histograms representing the teaching year with frequency.
From the first histogram the two reactangles represents = 45+48 = 93
From the second hisogram = 79+34 = 113
Median divided into two equal parts.
From the data:
The first graph has 200 points
The second graph has 221 points
The first graph median should be near the 100th data point
The second graph median should be the 111th data point
We obtain 93 from rectangles on a, which is less than 100, and these two rectangles include 1-4 and 4-7 (not including?) As a result, we might argue that this data covers 1-6.
We clearly need more values after we reach the medians, thus we must include the following interval. As a result, in a medium, 7 should be used.
The same reasoning applies to b), where the first two rectangles yield 113 and the median is the 111th datum point. We don't need to add these two rectangles because it includes them. So, for this median, the next interval (7-10) must be 6.
For part (b):
Mean of 18 = 2.5
= 2.5×18 ⇒ 45
Mean of 200 = 8.2
= 200×8.2 ⇒ 1640
New mean = Total/number of observation
= (45+1640)/(200+18)
= 1685/218
= 7.729
= 7.73
Thus, the mean teaching year for all 218 teachers at High School A is 7.73 if the teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.
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What is the answer to 3x +5x
Answer:
8x
Step-by-step explanation:
To do this we simply add the coefficients of x to give us our answer:
3 + 5 = 8
So our answer is 8x
One way to put this into perspective is to imagine x is the number of apples:
If you add 3 apples and 5 apples you get 8 apples.
Always do this trick when collecting like terms in algebra.
Solve the system of equations! I will mark branliest!
Answer:
x = 16/3, y = -1/9
Step-by-step explanation:
4x + 1 = 5(x-3y) - 6
3(x+6y) + 4 = 9y + 19
Simplify both equations
4x + 1 = 5x-15y - 6
-x + 15y = -7
3x + 18y + 4 = 9y + 19
3x + 9y = 15
Now multiply 3 on both sides for the first equation.
(easier for adding both equations)
-3x + 45y = -21
3x + 9y = 15
Add both equations
x cancels out
54 y = -6
y = -1/9
plug in to other equation
3x + 9y = 15
3x - 1 = 15
3x = 16
x = 16/3
Quadrilateral wxyz is a paralelogram if w=50
what is wzy
the length of a rectangle is 5 cm more than twice a number. the width is 4cm less than the same number. if the area of the rectangle is 15cm2, find the number
Click on the time that passed from start to end.
Pls help
Answer:
the answer is 28 minutes
-10Y +8 - Y + 2X + X - 3 SIMPLIFY
Guillermo desea planificar la cosecha y venta de plátano a partir de información precisa. Usando la información de que se dispone, determine la ecuación de la utilidad y calcule cuántos kilos tendría que vender Guillermo por semana bajo estas condiciones, para que la utilidad no sea menor al 15% del costo
Para planificar su cosecha y garantizar una buena ganancia, Guillerno necesita utilizar la ecuación de utilidad.
¿Qué es la utilidad?En un negocio, la utilidad se refiere a la ganancia neta de una empresa o la diferencia entre el total de dinero que se gana y los gastos o inversión.
¿Cómo se calcula la utilidad?La utilidad se calcula a partir de la siguiente ecuación:
Margen de utilidad= ingresos totales - inversión o costosEsta ecuación requiere saber los posibles costos y los ingresos totales para calcular la utilidad de un producto y así mismo planear la cantidad del producto a vender.
Nota: Esta pregunta está incompleta porque no hay información sobre los costos, posbiles ganancias, etc. de Guillermo. Debido a lo anterior, la respuesta se basa en conocimiento general.
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WILL GIVE BRAINLIEST TO FIRST ANSWER
The graph represents the journey of a bus from the bus stop to different locations:
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer.
Answer:
part b)
increasing: hour 1
constant: hours 2 and 4
decreasing: hours 3 and 5
part c)
non-linear
Step-by-step explanation:
What is the answer to this 3x+17=-2x-13???
Answer:
x = -6
Step-by-step explanation:
3x + 17 = -2x - 13
==> add 2x to both sides
5x + 17 = - 13
==> subtract 17 from both sides
5x = -30
==> divide both sides by 5
x = -6
The volume of a cylinder is 54 1 cm3. If the radius is 3 cm, what is the height of the cylinder? 3 cm
O A. 6 cm
O B. 3 cm
O C. 18 cm
OD. 9 cm
For an art project, a cone is covered with paper without any gaps or overlaps. The height of the cone is 28 inches and its diameter is 14 inches.
What is the surface area of the covering to the nearest square inch?
The surface area of the covering of the cone to the nearest square inches is 788 inches²
Surface area of a conesurface area of a cone = πr(r + l)
where
r = radiusl = slant lengthTherefore,
diameter = 2(radius)
14 = 2r
r = 14 / 2
r = 7 inches
l² = 7² + 28²
l = √49 + 784
l = √833
l = 28.8617393793
l = 28.86 inches
Therefore,
surface area = 3.14 × 7 (7 + 28.86)
surface area = 21.98 × 35.86
surface area = 788.2028
surface area = 788 inches²
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Answer: Here you go :)
Step-by-step explanation:
Hope this helps, have a nice day!
The side lengths of △JKL are 60 cm, 80 cm, and 100 cm. Which formula can be used to show that △JKL is a right triangle?
Answer:
a^2 +b^2= c^2
Step-by-step explanation:
to prove that a triangle have right angles triangle you have to use the Pythagoras theorem
An empty container in the shape of a cube 6 inches deep is filled with plastic cubes.
How many plastic cubes measuring 1 inch across each face will it take to fill the container?
Enter your answer in the box.
Answer:
108
Step-by-step explanation:
The length of a rectangle is 3 less than 4 times
the width. The perimeter is 34. Find the length
and width.
Let
x = width
4x-3 = length
w=x
P = 2w + 2L
34 = 2x + 2(4x-3)
L=4x-3
→ Perimeter = 2( Length + Width)
→34 = 2x + 2(4x-3)
→34 = 2x + 8x - 6
→34 = 10x -6
→10x = 34 +6
→10 x = 40
→x = 40/10
→x = 4
Width is 4 unit and length is (4*4 -3) = 13 unit.Hope this helped you!
Mr Gleasons math class lasts for 40 minutes. Math class starts at 9;55 AM. At what time does math class end?
Answer:
Math class ends at 10:35 AM.
Step-by-step explanation:
To find the answer, you need to add 40 minutes to the timestamp if 9:55 AM. There are 60 minutes in an hour, so you add five minutes to get to 10:00. 40-5=35. Now add 35 minutes to 10:00. The answer is 10:35 AM.
Answer:
The answer is 10:35 AM.
Step-by-step explanation:
Given;Mr Gleasons math class lasts for 40 minutes.Math class starts at 9:55 AM.To Find;At what time does math class end.Here, we know that in one hour there's 60 minutes.
1 hour = 60 minutes.
So, add 40 minutes in 9:55
9:55 + 40 minutes = 10:35 AM
Thus, Mr Gleasons math class will end at 10:35 AM.
The ratio of boys to girls in the school is 2:3 if there are 600 students in school how many boys are there in the school HELP
Answer:
400 boys : 200 girls
Step-by-step explanation:
2x2x-2x2 what do u get when u add them together and multiply
Answer:
4x - 4
Step-by-step explanation:
Step-by-step explanation:
Hehe just my try hope it helps you( ＾∇＾)Which statements are true about the data sets? check all that apply. set a is symmetrical. set b has the same mean and median. set b is right skewed. set a is left skewed. the median of set a is larger than the mean of set a.
1) The mean of set A is larger than the mean of set B.
2)The median of set A is larger than the median of set B.
A = {10, 12, 12, 6, 8, 5, 4, 10, 8, 10, 12, 12, 6}
B = {8, 8, 8, 7, 9, 7, 9, 10, 6, 8}
What is the mean?Mean is the ratio of the sum to the total number of observations.
Mean of set A = 115/13
Mean of set B =80/10 =8
So, the mean of set A is larger than the mean of set B.
Arranging both the sets in ascending order
A = {4, 5, 6, 6, 8, 8, 10, 10, 10 12, 12, 12, 12 }
Median of set A = middle term = 7th term = 10
Similarly, the median of set B =8
So, the median of set A is larger than the median of set B.
Thus, 1) The mean of set A is larger than the mean of set B.
2)The median of set A is larger than the median of set B.
Answer:
B D E
Step-by-step explanation:
I took the assignment and these are right. :)
Find the surface area of the pyramid
Answer:
can u show a more clear picture or tell me the numbers on it
Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work
Answer:
x = 6
Step-by-step explanation:
: 4(x + 5) = 9x + 4x − 34
Combine Like Terms:
- 4x + 20 = 9x + 4x − 34
- 4x + 20 = 13x − 34
Subtract 20 from both sides:
- 4x + 20-20 = 13x − 34-20
Subtract The numbers:
= 4x = 13x - 54
Subtract 13x from both sides:
= 4x-13x = 13x - 54-13x
Combine Like terms:
- 9x = -54
Divide both sides by the same factor:
-9x / -9 = -54 / -9
Cancel terms that are in both the numerator and denominator:
x = -54/-9
Divide the Numbers:
x = 6
Twelve is 14 more than an unknown number
Answer:
-2
Step-by-step explanation:
Since 12 is more
12 - 14
-2
You and Omar are talking about which two frozen treats would be best to sell. Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit. Is Omar correct? Provide an explanation to justify your answer
Answer:
Step-by-step explanation:
He may or not be correct. It depends on the profit you make on each sundae cup compared with the profit on the other treat. The other treat might give a higher profit.
Omar is correct since if 50% of the
What is Profit?Profit is defined as the amount gained by a person or business.
Profit = Total Revenues - Total cost
Given that,
you and Omar are talking about which two frozen treats would be best to sell.
Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit.
Total number of the frozen treats = 100%
If 50% of the frozen treats sold in Week 1 were sundae cups, then the profit of the frozen treats will be 50% of the total which came from sundae cups.
Hence Omar is correct.
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Robert is going to invest $640 and leave it in an account for 20 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest hundredth of a percent, would be required in order for Robert to end up with $1,280?
Answer:
The answer is: 3.48%
Step-by-step explanation:
Answer :
R = 3.48%
interset rate
Carmen is going to roll an 8-sided die 200 times. she predicts that she will roll a multiple of 4 twenty-five times. based on the theoretical probability, which best describes carmen’s prediction? carmen’s prediction is exact because 200 times startfraction 1 over 8 endfraction is 25. carmen’s prediction is low because 200 times one-fourth is 50. carmen’s prediction is low because 200 divided by 2 is 100. carmen’s prediction is high because 200 divided by 25 is 8.
The expected value is 50 then Carmen’s prediction is low because 200 times one-fourth is 50. Then the correct option is B.
How to calculate the expectation value?Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.
Thus, if the random variable is X, and its probability mass function is given as
[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]
(n is the number of values X takes)
Carmen is going to roll an 8-sided die 200 times.
She predicts that she will roll a multiple of 4 twenty-five times.
The sample will be
Total event = 8 {1, 2, 3, 4, 5, 6, 7, 8}
Then the favorable event will be to roll an 8-sided die and get a multiple of 4. Then we have
Favorable event = 2 {4, 8}
Then the probability will be
[tex]\rm P = \dfrac{2}{8} = \dfrac{1}{4}[/tex]
A dice is rolled 200 times, then by the binomial theorem we have the expected value will be
[tex]E(x) = nP = 200 \times \dfrac{1}{4} = 50[/tex]
More about the expectation link is given below.
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Answer:
B
Step-by-step explanation:
need some help with the question in the image
Cheers
Answer:
22%
Step-by-step explanation:
formula for percentage increase:
increase/original number x 100
increase is $66 (366-300)
66/300 x 100
= 22/100 x 100
= 22
hope this helped :)
The diagram represents the polynomial 4x2 23x – 72. a 2-column table with 2 rows. the labels for both the columns and the rows is question mark. first column entries are 4 x squared, negative 9 x. second column entries are 32 x, negative 72. what is the factored form of 4x2 23x – 72? (4x 8)(x – 9) (4x – 8)(x 9) (4x 9)(x – 8) (4x – 9)(x 8)
The factor of the given polynomial 4x^2 + 23x – 72 would be equal to (4x - 9) (x + 8).
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
The given polynomial expression
[tex]4x^2 + 23x - 72[/tex]
We factor in the highest common denominator of each group.
[tex]4x^2 + (-9+32)x - 72[/tex]
[tex]4x^2+9x-32x - 72[/tex]
[tex](4x-9)x+8(4x-9)[/tex]
Finally, the factored expression is
(4x - 9) (x + 8)
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Write an equation for the line on the graph below:
Answer:
y=2
Step-by-step explanation:
Hey there!
The answer is y=2 because the x-axis is not defined (there's no value for it as the line didn't pass through it)
which of the following is an equations of the line passing through the points (-1,4) and (1,2)
Answer:
y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)
Step-by-step explanation:
You need to do slope-intercept formula and the slope formula.
The Slope-Intercept Formula: y=mx+b
The Slope Formula: y2 - y1 / x2-x1
Your coordinates:
(-1,4) and (1,2)
2 - 4/1- (-1)
-2/2
Simplified is -1
Your "m" in the slope-intercept formula is -1
Formula: y=-1x + b
Now, you need to find the Y-Intercept which is the "b"
Using our slope-intercept formula, you need to plug in "x1" and "y1"
4 = -1(-1) + b
4 = 1 +b
4-1 = b
3 = b
So your equation is:
y = -1x + 3 or y = -x + 3
And how far away is this value from the mean? _____ million
Answer:
Mean: (1.5+3.8+1.3+1.6+2.9+1.4+0.9+2.3+8.4+1.3)/10 = 2.54
Lowest Number: :: 2.54 - 0.9 = 1.64 million less than mean
Highest number: :: 8.4 - 2.54 = 5.86 million more than mean mean