Answer:
5 - number summary:
Minimum : 664
First quartile : 706
Median : 766
Upper quartile : 810
Maximum : 836
Step-by-step explanation:
Given the data:
664, 693, 698, 714, 751, 753, 779, 789, 802, 818, 834, 836
Sorted data :
664, 693, 698, 714, 751, 753, 779, 789, 802, 818, 834, 836
Minimum =664
Lower quartile (Q1) = 1/4(n+1)th term
Q1 = 1/4(13) = 3.25 = (3rd + 4th) = (698 + 714) / 2 = 706
Median (Q2) = 1/2(n+1)th term
Q2 = 1/2(13) = 6.5 = (6th + 7th) = (753 + 779) / 2 = 766
Upper quartile (Q3) = 3/4(n+1)th term
Q3 = 3/4(13) = 9.75 = (9th + 10th) = (802 + 818) / 2 = 810
Maximum = 836
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
How can her partial solution be interpreted?
The equation has one solution: x = 0.
The equation has one solution: x = 8.
The equation has no solution.
The equation has infinite solutions.
Answer:
The 3rd option i.e. 'the equation has no solution' is the correct option.
Step-by-step explanation:
Given the given function
4(x – 1) – x = 3(x + 5) – 11
Lily's work is shown below
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
It is clear that the Left-hand side of the equation is not equal to the right-hand side of the equation as 3x – 4 can not be equal to 3x + 4.
i.e.
3x – 4 ≠ 3x + 4
3x - 3x -4 ≠ 4
-4 ≠ 4
L.H.S ≠ R.H.S
Therefore, the equation has no solution.
Hence, the 3rd option i.e. 'the equation has no solution' is the correct option.
Write an equation of the line that passes through a pair of points:
(-3, 1), (-2, -5)
a. y = 6x - 17
b. y = -6x - 17
c. y = - 6x + 17
d. y = - 6x + 1/17
Please help me answer this
Explain you’re answer
Will give braisnlt
Answer: b
Step-by-step explanation:
Need help with this one please
Answer:
100°
Step-by-step explanation:
I'm sorry, I don't quite remember the name of the four sided shape when it fits into a circle but when it does, the opposite angles are equal to 180° therefore we say 180° - 80° and get 100° for the opposite angle which is U
-6xyz + 17 xyz - 11 xyz =
Answer:
0
Step-by-step explanation:
xyz(-6-11+17)
xyz(0)
Question 5(Multiple Choice
PLEASE HELP ME!
Worth 5 points)
(01.02 MC)
Which of the following correctly uses absolute value to show the distance between -80 and 15?
01-80 - 151 = 1-95] = -95 units
01-80 + 15| = |-651 = 65 units
01-80 – 151 = 1-95) = 95 units
01-80 + 15= |-65= -65 units
Answer:01-80 + 15= |-65= -65 units
Step-by-step explanation:
I need help ASAP please!! Giving brainliest
Answer:
Step-by-step explanation:
3/4x3=9/4
Answer:
2 1/4
Step-by-step explanation:
3/4+3/4=1 2/4
1 2/4+3/4=2 1/4
25 points pls help this is really hard
1) Johnny The Fat Kid has 10 apples, He gives 2 apples to both of his friends (2).
How many apples does Johnny The Fat Kid have now?
2) With the remaining apples Johnny has, he eats 1 apple and then gives away 3 apples to charity. Because Johnny is so nice to charity, he revieves 8 apples back.
How many apples does Johnny The Fat Kid have in total? (Now)
Answer:
10
Step-by-step explanation:
you do step by step math and after you do that you will get 10
Answer:
10
Step-by-step explanation:
13
5
ө
12
What is the length of the side opposite to angle θ
Answer: Sin θ =
Step-by-step explanation:
In the figure attached, ABC is a right angle triangle.
Sides of this triangle are AB = 12 BC = 5 and CA = 13
Angle opposite to the side having length = 12 is θ.
Now we have to calculate sin θ.
Since Sinθ =
=
Therefore, ratio which represents sinθ will be
Step-by-step explanation:
A figure is created by using four semicircles and a rectangle. which is closest to the area of the figure?
Answer:
322.19
Step-by-step explanation:
RECTANGLE AREA =L × B
=12 × 8
AREA OF CIRCLES= 4(1/2×PIE×6×6)
TOTAL AREA= 12 × 8+ 4(1/2×PIE×6×6)
=322
HOPE IT HELPSS!!
What is the range of
f(x) = 3x2^x
Find the distance between these points and round to the nearest tenth.
(-9,3) and (9. - 3)
Answer:
You add the parts then subtract them with the old part
Step-by-step explanation:
Match the statement with the equation: (Choices are below) (MAFS.912.A-SSE.1.1)
A. Her salary is one dollar more than twice John’s salary.
B. John’s salary is twice hers plus $1.
C. Twice John’s salary is the same as her salary plus one.
D. Twice her salary is the same as John’s salary plus $1.
Choices : 1. 2H = J + 1 3. 2J = H + 1
2. H = 2J + 1 4. J = 2H + 1
Answer:
A. Her salary is one dollar more than twice John’s salary. Answer: 3) 2J = H + 1
B. John’s salary is twice hers plus $1. Answer: 4) J = 2H + 1
C. Twice John’s salary is the same as her salary plus one. Answer: 2) H = 2J + 1
D. Twice her salary is the same as John’s salary plus $1. Answer: 1) 2H = J + 1
Step-by-step explanation: hope this help
please help I don't understand this
Find A+B, A, B, C, or D.
Answer: the answr is b because its divisble
Step-by-step explanation:
-2x -3 =5 what dose x = to
Answer:
x=-4
Step-by-step explanation:
-2x=5+3
-2x=8
x=-4
hope this helps!
In this table, x is directly proportional to y. What is the missing number?
Answer:
36
Step-by-step explanation:
The numbers on the bottom are always equal to 1.5 times the number on top.
3 x 1.5 = 4.5, 10 x 1.5 = 15, and so on. 24 x 1.5 = 36, so the missing number is 36.
Helpppppppppppppppp please
The sum of 8 and t
The product of 5 and b
The quotient of g and 15
The difference of 32 and x
Help plz
Question 4
Solve for x. Round your answer to two decimal places. Do NOT include x= in your final
answer
10
х
30°
The value of x is 20.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sin 30 = 10 / x ______(10
We know that,
Sin 30 = 1/2 _____(2)
So,
Substituting (2) in (1).
1/2 = 10/x
x = 10 x 2
x = 20
Thus,
The value of x is 20.
Learn more about trigonometric identities here:
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(3j+6)=
)G
I
Stuck? Watch a video or use a hint.
Answer:
= 3(j+2)
Step-by-step explanation:
Answer:
definitely watch a video!
Step-by-step explanation:
can some one help me with this
Answer:
t=(-13)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
12t−8t=−52
12t+−8t=−52
(12t+−8t)=−52(Combine Like Terms)
4t=−52
4t=−52
Step 2: Divide both sides by 4.
4t /4 = −52 /4
Answer:
t = -13
Step-by-step explanation:
12t - 8t = -52
Combine like terms: 12t - 8t = 4t
4t = -52
divide both sides by 4
4t/4 = -52/4
t = -13
The distance between -18 and 15 is equal to ______.
A. 18 - 15
B. 15 - 18
C. -18 - 15
D. 15 - (-18)
Answer:
It would be equal to 15 - (18)
Answer:
it would actually be (B)
Write the equation of the trigonometric graph.
Answer(s):
[tex]\displaystyle y = 2sin\:(x + \frac{\pi}{2}) - 2 \\ y = 2cos\:x - 2[/tex]
Explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2sin\:x - 2,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2sin\:(x + \frac{\pi}{2}) - 2.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits the origin [tex]\displaystyle [0, 0],[/tex] from there to [tex]\displaystyle [2\pi, 0],[/tex] they are obviously [tex]\displaystyle 2\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 2\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -2,[/tex] in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Find the measure of the central angle indicated.
Answer:
The cental angle = 135º
Step-by-step explanation:
(6x+7)+(13+4x)+80= 180
x=8
I GIVVVVE BRAINLILSTE
Answer:
≈ 26.39 inches
Step-by-step explanation:
The circumference of a circle is 2πr or πd with r meaning radius and d for diameter. Since we know the diameter already, we can substitute the value in for d:
C = π(8.4) = 8.4π ≈ 26.39
Please help I’m so close to passing math
Answer:
It would cost $21.84
Step-by-step explanation:
Becasue you first figure out how much one book mark cost and one costs 0.78. Then you just multiply 0.78 by 28(total amount of classmates.) Hope that helps:)
An airplane travels 360 miles in 2 hours. At the rate, how far can the airplane travel in 8 hours. Please help me!
Answer:
1440 miles
Step-by-step explanation:
360 miles = 2 hours
360/2=180 miles = 1 hours
8 hours = 180*80=1440 miles
An airplane that travels 360 miles in 2 hours can travel 1440 miles in 8 hours.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, An airplane travels 360 miles in 2 hours.
So, In one hour the airplane can travel (360/2) = 180 miles.
∴ In 8 hours the airplane can travel (8×180) miles = 1440 miles.
learn more about the unitary method here :
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Find the equation of the line shown
Answer:
x=2y
Step-by-step explanation:
If you look at the x values, they are double y values.
For example, when y=1 x=2
When y=2 x=4
Please give brainliest, thank me and rate it 5 if it helped.
At a movie, 80% of the audience members were teenagers. If the number of teenagers at the movie was 56, what was the total number of audience members?
PLS ILL GIVE BRAINLIST TO WHOEVER ANSWERS N YOU DONT HAVE TO DO AN EXPLANATION)
Answer:
ANSWER IS 70!
Step-by-step explanation: