Answer: The answer is,
$5,110
Option (B)
The tax of a single person that earns $33,200 is $5110
The earnings (E) is given as:
[tex]E = \$33,200[/tex]
From the tax table, the equation to calculate the tax of a single person within the income range $28400 to $68,799.99 is:
[tex]Tax =0.25E - 3190[/tex]
So, we have:
[tex]Tax =0.25 \times 33200 - 3190[/tex]
[tex]Tax =8300 - 3190[/tex]
Evaluate the like terms
[tex]Tax =5110[/tex]
Hence, the tax of a single person that earns $33,200 is $5110
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Find: 1. three quartiles and 2. interquartile range (IQR).
1, 3, 9, 12, 12, 14, 18
The position of Q1 is the 2th number. Q1 is 3.
The position of Q2 is the 4th number. Q1 is 12.
The position of Q3 is the 6th number. Q1 is 14.
IQR is 11.
What are the required values?The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.
Q1 = 1/4 x (n + 1)
1/4 x 8 = 2nd number = 3
Q2 = 1/2 x (n + 1)
1/2 x 8 = 4th number = 12
Q3 = 3/4 x (n + 1)
3/4 x 8 = 6th number = 14
IQR = Q3 - Q1
14 - 3 = 11
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A sample of assistant professors on the business faculty at state supported institutions in Ohio revealed the mean income to be $32,000 for 9 months with a standard deviation of $3,000. Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750
Answer:
The proportion of faculty that earns more than $25,250 but less than $38,750 is 0.8025.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question, we have that:
Mean of 32000, Standard deviation of 3000.
Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750
This is within 38,750 - 32,000 = 32,000 - 25,250 = $6,750 of the mean.
Value of k:
This is k standard deviations from the mean. k is given by:
[tex]k = \frac{6750}{3000} = 2.25[/tex]
Proportion:
The percentage is:
[tex]p = 100(1 - \frac{1}{(2.25)^{2}}) = 80.25[/tex].
So the proportion is 0.8025
Given f(x) = x^2 + x + 1 and given g(x) = x^2 - 9, find (f+g)(x).
========================================
Work Shown:
(f + g)(x) = f(x) + g(x)
(f + g)(x) = x^2+x+1 + g(x) ............... plug in f(x) = x^2+x+1
(f + g)(x) = x^2+x+1 + x^2-9 ........... plug in g(x) = x^2-9
(f + g)(x) = (x^2+x^2)+x+(1-9)
(f + g)(x) = 2x^2+x-8
points showing equivalent relics on the coordinate planeten
Ty
18
15
12
9
3
1 2 3 581 8 9 10 11 12 %
Which ordered pair would represent a ratio that is equivalent to those shown?
O 16, 12)
(9,6)
(8, 12)
O (12,8)
Answer:
Answer: (8,12) Third option
Step-by-step explanation:
Equivalent Ratios
Nardia plotted some points showing equivalent ratios. The points shown in the graph are: (2,3), (4,6), (10,15)
The ratios of the points in the form y:x are:
[tex]\frac{3}{2}[/tex]
[tex]\frac{6}{4}=\frac{3}{2}[/tex]
[tex]\frac{15}{10}=\frac{3}{2}[/tex]
Note all the ratios are equivalent.
From the ordered pairs provided in the choices, only one of them has the same ratio y:x.
Point (12,8) has a ratio:
[tex]\frac{12}{8}=\frac{3}{2}[/tex]
Answer: (8,12) Third option
Please help! Find the value of X. Round to the nearest tenth. acellus
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
Additional comment
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
Find the missing angle measure in the triangle below.
round 576.071 to the nearest tenths
Jason wants to earn money by raking leaves. He buys a rake that costs $30.00. He plans to charge $8.00 for each lawn that he rakes Calculate the amount of profit Jason
will make if he rakes 15 lawns
Answer:
He will make 90 dollars in profit.
Step-by-step explanation:
15 x 8 to find how much he makes. He makes 120 dollars. But we have to count the 30 dollars less he spent by subtracting 120 - 30. You get 90 dollars.
Hope it helps!
Answer:
120 dollars
Step-by-step explanation:
30 dollars times 15 lawns equal 120$
1. What is the coefficient in the expression: 3 + 6x
Answer: 6
Step-by-step explanation:
6 is the only number next to x and is multiplying with it (ex: 6x would be a coefficient but 6+x would not)
Please help! Doing online because of pandemic!
For line b, d, and e, line d is parallel to line e, and m∠1 = 81°.
Part A: In complete sentences, explain the relationships between all pairs of special angles 1, 2, 3, and 4 created by transversal line b and parallel lines d and e.
Part B: For the given diagram, use the measure of the special angle relationships created by transversal line b and parallel lines d and e to find the measures of ∠2, ∠3, and ∠4.
Answer:
ART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
Step-by-step explanation:
PART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
Need some help with this..
Step-by-step explanation:
1. 22+5x+3=90
2.3+5x+82=180
3. 89=6x+5
4. 4x+3= 43
you can solve them luv
Find the measure of
answer fast pls! <3
+10pts
Answer:
∠A = 88°
Step-by-step explanation:
= 180° - (50° + 38°)
= 180° - 88°
= 92°
∠A + 92° = 180°
∠A = 180° - 92°
∠A = 88°
Pls help thanks sooo much
Answer:
Step-by-step explanation:
a. we do first the multiplication 3*4=12
-9-12=-21
b. you do parenthesis first
(-2)^3=-8
(-8)*(-4)= +32
now we have (32)-3=29
c. as you see in the red square we do multiplication first, than division
3*2=6
(-18)/6=-3
2+(-3)=-1
Question 2 (Essay Worth 3 points)
A circular picture is 8 inches in diameter.
Part A
What is the area of the picture in square inches?
A. 411 square inches
B. 8rt square inches
C. 161 square inches
D. 321 square inches
Part B
A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?
A. 41 square inches
B. 120 square inches
C. 361 square inches
D. 40 square inches
Which statements are true about the graph shown below. There are more than one answer.
Answer:
cant see the choices what the graph is a function
Step-by-step explanation:
Help and you get candy :3
Georgia is making necklaces. Each necklace has 3 blue beads and 5 red beads. How many red beads will she need to make 8 necklaces?
A. 25 red beads
B. 30 red beads
C. 35 red beads
D. 40 red beads
Answer:
40
Step-by-step explanation:
5 x 8 = 40
ill give branilest
help plz hw assignemnt
Answer:
I think its 100.
Step-by-step explanation:
How are you doing?
can someone complete it all
Answer:
Here it is
Step-by-step explanation:
#1. 3:4
#2. 3 to 4
#3. 3/4
A teacher asked 21 pupils to estimate the height of a building in metres.
The stem-and-leaf diagram shows all 21 results.
6
represents 6.5m
6
5
9
7
0
2
6
8
8
8
3
3
5
7
7
9
9
0
5
5
5
10
8
11
2.
What was the median estimated height?
m
Answer:
I think it's 8.5m,I wish it is correct.
Step-by-step explanation:
:)I wish it helps.
Drag the cards to create a number that matches these rules. • The number ends in the tenths place. 50 is the nearest ten when rounding 3. 8 4
What is 33/88 in simplest form?
Answer:
3/8
divide both by 11
you get 3/8
As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10 points per week on the other hand George’s current score is 570 and is growing by 50 points per week
a)
when will Georgia score catch up to Sally’s?
B) if the SAT test is in 12 weeks who will score the highest?
Please show all work !!
Answer:
a) 7 weeks b) George's
Step-by-step explanation:
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
The solution are, a) 7 weeks
b) George's
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
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Benjamin went shopping for a new video game. The listed price of the video game
was $34, but the price with tax came to $37.40. Find the percent sales tax.
Answer:10%
Step-by-step explanation:
Which fraction represents the shaded part of the grid?
Answer:
where the heck is the pic?
Step-by-step explanation:
Catherine has an unpaid balance on her credit card of $345.38. She has new charges of $195.65 this month and her monthly interest rate on the unpaid balance is 1.75%. What is the total balance on her monthly bill (to the nearest whole cent)?
$561.90
$555.55
$550.50
$570.08
None of these choices are correct.
Answer:
345.38+195.65+((345.38×(0.0175÷12))
=541.53
Your parents traveled 300 miles and used 15 gallons of gas. How many miles can your parents
run on 1 gallon of gas? *
300 miles
200 miles
40 miles
20 mies
Step-by-step explanation:
20 miles.
what you need to do to find out is:-
just divide them
300÷15
have a good day :)
pls helpp mee!!!!! pleaseee
Answer:
it is 5 inches squared
Step-by-step explanation:
1 inches. sjwjqkqkwjhed
Please help me with this question above
Answer:
top to bottom
Step-by-step explanation:
Find the solution to the equation. URGENT
Answer:
x + 6 + x + 6 + x + 6 + x + 6 + x + 6 x + 6 + x + 6 + x + 6 = 120
aka 8(6 + x) = 120
48 + 8x = 120
you want to get 8x on one side so you will subtract 48 on both sides - whatever you do to obe side you must do on the other side.
8x = 72
now you want the x by its self so to undo multiplication you need to divide, and divide on both sides.
x = 9
Solution: x = 9
i need help asap due tonight
Answer:
4
Step-by-step explanation:
multiply 10 by w and 3
equation becomes 10w+30=70
subtract 30 by both sides
equation becomes 10w=40
divide both sides by 10
equation becomes w=4
your answer is 4!
