Answer:
Lower Quartile: 7
Median: 12
Upper Quartile: 16.5
Step-by-step explanation:
First, to find anything you must reorganize the numbers according from smallest to biggest. In this case, it would be:
4, 6, 8, 9, 10, 14, 15, 16, 17, 18
Let's find the median first. The median is in the middle of the data set, and there are 10 numbers in this data set. We need to find the middle of two numbers to find the median, 10 and 14, which would be 12.
To find the lower quartile, you must look at the numbers below the median. Those would include 4, 6, 8, and 9. There is a even number of digits, meaning that we might find the middle of two numbers, 6 and 8, which is 7.
Then, the Upper Quartile which is the same process. Look at 15, 16, 17, and 18. It is a even number of digits so we need to find the middle of 16 and 17, which would equal 16.5.
Hope this helped!
determine the equation of the circle with center (0,6) containing the point (74,2)
The circle with center (0,6) containing the point (74,2) has an equation of x² + (y - 6)² = 74.1²
How to calculate the equation of a circle
The equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the center and r is the radius.
The circle with center (0,6) containing the point (74,2). Hence:
[tex]Radius=\sqrt{(2-6)^2+(74 -0)^2}=74.1\ unit[/tex]
The equation is:
x² + (y - 6)² = 74.1²
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Help Please!!!!!!!
I give Brainlist
Your grandmother gives you $1500 to invest in a savings account on your 15th birthday. The only condition is that you may NOT use it until you have graduated high school at 18. After researching savings accounts, you come up with two options.
1) A high interest savings account, with 2.5% simple interest annually or
2) A High Yield Savings account with 2% interest compounded annually.
Which account will you chose and why?
Answer:
Step-by-step explanation:
This is a logical question that can be d=solved thus;
To decide which decision to make,one has to calculate the amount for both methods to detrmine which is higher.
1. Using simple interest formula of ( P X R X T)/ 100
Since p = 1500, r = 2.5%, T = 3
1500 x 2.5% x 3 / 100 = 1500 x 0.025 x 3 / 100
112.5 / 100 = 1.125
to find amount = 1.125 + 1500 = 1501.25 for the three 3years.
2. Using compound interest formula of ( P ( 1 + r/n)∧nt
1 + (2%/3) ∧3(3)
1500( 0.02/3) ∧ 9
1500 x 0.006 ∧9
1500 x 2.60 = 3900
A = 3900 + 1500 = 5400
SO FROM THE ABOVE I WILL G FOR THE HIGH YIELD SAVINGS AS IT IS HIGHER THAN THE INTEREST SAVINGS
Given the data from the question, the best account to use is:
A high interest savings account, with 2.5% simple interest annually (Option 1)
Simply interest formula
I = PRT / 100
A = I + P
Where
I is the interest P is the principal R is the rate T is the time A is the amount after time tCompound interest formulaA = P(1 + r/n)ⁿᵗ
Where
A is the amount after time tP is the principal r is the rate t is the time n is number of times compounded per annual Case 1 (simple interest) Principal (P) = $ 1500Rate (R) = 2.5%Time (T) = 3 years Interest (I) =? Amount (A) =?I = PRT / 100
I = (1500 × 2.5 × 3) / 100
I = $ 112.5
Thus
A = I + P
A = 112.5 + 1500
A = $ 1612.5
Case 2 (compound interest) Principal (P) = $ 1500Rate (R) = 2% = 0.02Time (T) = 3 years Number of time compounded annually (n) = 1Amount (A) =?A = P(1 + r/n)ⁿᵗ
Since n = 1,
A = P(1 + r)ᵗ
A = 1500(1 + 0.02)³
A = $ 1591.8
SUMMARY
The amount at the end of 3 years using:
A High interest savings account, with 2.5% simple interest annually is $ 1612.5A High Yield Savings account with 2% interest compounded annually is $ 1591.8Thus, the best account to use is a high interest savings account, with 2.5% simple interest annually (option 2)
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Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?
12x2 −6; 21 inches
12x2; 27 inches
12x2 −6; 30 inches
12x2; 36 inches
Answer:
A.12x2 −6; 21 inches
Step-by-step explanation:
The perimeter of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6
Perimeter of a triangleThe perimeter of a triangle is the sum of all its sides as shown
P = s1 + s2 + s3
Given the following
s1 = 4x^2 - 3
s2 =4x^2 - 2
s3 = 4x^2 - 1
x = 1.5
Take the sum of the sides
P = 12x^2 - 6
Substitute x = 1.5
P = 12(1.5)^2 - 6
P = 21 inches
Hence the perimeter of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6
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robert gets a loan from his bank.
he agrees to borrow £6000 at a fixed annual simple interest rate of 7%
he also agrees to pay the loan back over a 10-year-period.
how much money in total will ha have paid back at the end of the 10 years?
Answer:
£10200
Step-by-step explanation:
Amount borrowed (P) = £6000
Rate of interest (R) = 7%
Time (T) = 10 years
First, let us calculate the simple interest (SI) for 10 years.
Formula for simple interest is given as:
[tex]S.I.=\frac{PRT}{100}[/tex]
Plugging the values of P, R and T in the above formula, we find:
[tex]S.I.=\frac{6000(7)(10)}{100}[/tex]
S.I.= £4200
Total money paid back at the end of the 10 years
= £6000 + £4200
= £10200
State a mathematical phase to for each English phase
1.) three or more than a number
2.) the sum of a number and ten
3.) seven less than a number
4.) cube of a number increase by nine
5.) square of the sum of a number
Thanks for your answer :)
Answer:
the sum of a number
Step-by-step explanation:
0.017
The diameter of a circle is 6 millimeters. What is the circle's circumference?
Use 3.14 for .
Answer:
18.84
Step-by-step explanation:
Answer:
18.8495559215
Step-by-step explanation:
In order to find circuference we use the formula
C= 2π(r)
c= circumference
r= radius
since they gave you the diameter, you first have to find the radius so you would divide the diameter by two since radius is half of a circle so 6 divided by 2 is 3. From here we would plug in 3 for "r" in the formula I wrote above. So C= 2π(3). then type this into a calculator to get the answer I wrote above. Then round as directed
Solve using substitution
I WILL GIVE THANKS AND MARK BRAINLIEST.
Answer:
[tex]\displaystyle Dependency\:[Infinitely\:Many\:Solutions][/tex]
Explanation:
In the bottom equation, moving [tex]\displaystyle -2x[/tex]to the oppocite side will give you the linear standard equation above it, therefore numerous solutions will occur.
I am joyous to assist you at any time.
How to create a quadrilateral with vertices at the following points PLEASE ASAP
Answer:
The points are in the form (x,y) this means you count x (right) if positive and left if negitive, for y up is positive and down negitive. for example the point (3,-2) would be three to the right two down
Step-by-step explanation:
The points are in the form (x,y) this means you count x (right) if positive and left if negitive, for y up is positive and down negitive. for example the point (3,-2) would be three to the right two down
In circle L with m KLM = 82°, find the angle measure of minor arc KM.
K
M
L
O
Answer: m KM=
Submit Answer
attempt 1 out of 2
The angle measure of minor arc KM is 41 degrees
Circle geometryFrom the given diagram, we have the following parameters
mKLM = 82 degrees
Required
arcKM
Since the angle at the vertex is twice that of the intercepted arc, then:
<KLM = 2(arcKM)
arcKM = <KLM/2
arcKM = 82/2
arcKM = 41 degrees
Hence the angle measure of minor arc KM is 41 degrees
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HELP PLEASE URGENT, ASAP. THIS IS GRADE 11 TRIGONOMETRY ILL GIVE THE BRAINLIEST!!!!!!!!!!!!
Answer:
1. [tex] \theta = 61.9^\circ [/tex]
2. [tex] x = 23.7~cm [/tex]
Step-by-step explanation:
Problem 1.
Use the Law of Sines.
This is SSA.
[tex]\dfrac{a}{\sin A} = \dfrac{c}{\sin C}[/tex]
[tex] \dfrac{31.2~cm}{\sin 51^\circ} = \dfrac{35.4~cm}{\sin \theta} [/tex]
[tex] \sin \theta = \dfrac{35.4~cm \times \sin 51^\circ}{31.2~cm} [/tex]
[tex] \sin \theta = 0.88176 [/tex]
[tex] \theta = \sin^{-1} 0.88176 [/tex]
[tex] \theta = 61.9^\circ [/tex]
Problem 2.
m<A + m<B + m<C = 180°
m<A + 67° + 58° = 180°
m<A = 55°
Use the Law of Sines.
[tex]\dfrac{a}{\sin A} = \dfrac{c}{\sin C}[/tex]
[tex]\dfrac{x}{\sin 55^\circ} = \dfrac{24.5}{\sin 58^\circ}[/tex]
[tex]x = \dfrac{\sin 55^\circ \times 24.5}{\sin 58^\circ}[/tex]
[tex] x = 23.7~cm [/tex]
a=340
rounded to the nearest 10
b=49.8
rounded to 1 DP
Find the minimum of
a x b
Answer:
16666.25
Step-by-step explanation:
For rounded values, the minimum value they could have been rounded from is the given value less half its least-significant digit.
That means the minimums are ...
a: 340 ⇒ 340 -5 = 335
b: 49.8 ⇒ 49.8 -0.05 = 49.75
Then the minimum product would be ...
(335) × (49.75) = 16666.25
MN is a diameter of a circle with centre ' O ' . If BD = CD , prove that ∠OAD = ∠OCD
~Please help!! Thanks in advance:)
Answer:
[tex] \sf \: Proved \: \angle \: OAD \: = \angle \: OCD[/tex]
Step-by-step explanation:
Given:
Mn is diameter of circle having centre O
and BD = OD,
To prove that:
[tex]\angle \: OAD \: = \angle \: OCD[/tex]
Solution:
Join the points O and B and draw OB,
On joining the line,
in ∆OCD and ∆OBD,
OC =OB → (Radius of same circle)
BD =CD → (from given)
OD =OD → (Common side in both the triangles)
Hence ∆OCD and ∆OBD are congruent from SSS property.
so we can say that,
[tex]\angle \: OBD \: = \angle \: OCD[/tex]
Consider above prove as statement A
Corresponding angles of congruent traingle.
in ∆ OAB,
OA = OB (radius of same circle)
hence ∆OAB is an isosceles traingle.
We know that opposite angle of isosceles traingle are always equal. hence,
[tex]\angle \: OBD \: = \angle \: OAB \\ \angle \: OAB \: = \angle \: OAD (same \: angles) \\ \angle \: OBD \: = \angle \: OAD[/tex]
Consider above prove as statement B
From Statement A & B we can say that
[tex]\angle \: OAD \: = \angle \: OCD[/tex]
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help help help help help
Answer: 10
Step-by-step explanation:
We can get this is a right triangle with a hypotenuse of c and legs equal to the height and radius.
So, the hypotenuse is c and the legs are 6 and 8.
This means that c=10
When the vertex is the highest point it is called a:.
Answer:
Maximum
Step-by-step explanation:
At the vertex the function is at aits maximum value.
Find the value of x.
Answer:
38
Step-by-step explanation: subtraction:
Input interpretation: x: 105-67=
Ratio in lowest terms: 38
Division:
105/67= 1.56...=1 38/67---1R 38= 1 with the remainder of 38. So just 38.
The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
By the above theorem, the equation is written as,
x + 67 = 107
Simplify the equation, then we have
x + 67 = 105
x = 105 - 67
x = 38°
The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.
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Consider a sequence whose first five terms are: 4, 8, 16, 32, 64.
Which function (with domain all integers n 2 1) could be used to define and continue this sequence?
A f(n) = 4(n-1)
® f(n) = 4(2)"-1
f(n) = 4n2
f(n) = 4n
Answer:
Considere una secuencia cuyos primeros cinco términos son: 4, 8, 16, 32, 64.
¿Qué función (con dominio todos los enteros n 2 1) podría usarse para definir y continuar esta secuencia?
A f(n) = 4(n-1)
® f(n) = 4(2)"-1
f(n) = 4n2
f(n) = 4n
Step-by-step explanation:
Help Please!!!!!!!!!!!!!
Answer:
A. 2086 yd²
Step-by-step explanation:
SA = 2lw + 2wh + 2lh
SA = 2*17*20 + 2*20*19 + 2*17*19
SA = 680 + 760 + 646
SA = 2086
Hope this helps :)
HELP WITH EXPLANATION, NO LINKS
Answer:
3x³ and 6x³, y and 7y
Step-by-step explanation:
Like terms have variables with the same exponents. This fact eliminates choices A, C, D.
The like terms are ...
3x³ and 6x³, 7y and y . . . . . . choice B
The average January surface water temperatures (°C) of Lake Michigan from 2000 to 2009 were 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, and 4.34. The data set has the following statistics:
x = 4.312
Variance squared2 = 0.577
What is the standard deviation? Round to the nearest thousandth.
0.333
0.760
2.077
18.593
Answer:
the answer is B 0.760
Step-by-step explanation:
i did the test.
Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?
alternate interior angles theorem
alternate exterior angles theorem
converse alternate interior angles theorem
converse alternate exterior angles theorem
Answer: converse alternate exterior angles theorem
Step-by-step explanation:
The angles are alternate exterior angles.
Find the geometric mean of 24 and 32
Answer:27.712812921102
Step-by-step explanation:
24*32=x*x
√768=√x²
27.712812921102=x
Geometric mean formula
GM=√aba=24
b=32
Find GM
√(24)(32)√76827.7128On rounding
GM=27.78. The sum of the ages of Sarpong and Quartey is 50 years. In five years time, the age of Quartey will be four times the age of Sarpong now. How old is each boy?
Answer:
Sarpong is 11.
Quartey is 39.
Step-by-step explanation:
Let Sarpong's age now = s.
Let Quartey's age now = q.
Now:
q + s = 50
In five years, their ages will be
Sarpong: s + 5
Quartey: q + 5
q + 5 = 4s
We have a system of two equations in two variables.
q + s = 50
q + 5 = 4s
We will use the substitution method.
Solve the second equation for q.
q = 4s - 5
Substitute 4s - 5 for q in the first original equation and solve for s.
4s - 5 + s = 50
5s = 55
s = 11
q + s = 50
q + 11 = 50
q = 39
Answer:
Sarpong is 11.
Quartey is 39.
If the slope of a line is zero the line must be a
line.
Answer:
Straight along the horizontal axis
Step-by-step explanation:
Hope this helped :)
ABC and AED are straight lines.
BE and CD are parallel.
A
B
AD = 10.5 cm
AE = 4.2 cm
BE = 2.9 cm
a) Work out length CD.
AC = 8.75 cm
b) Work out length BC.
Answer:
a) CD = 7.25
b) BC = 5.25
Step-by-step explanation:
a)The parallel lines mean the triangles are similar. ΔADC ~ ΔAEB. Corresponding sides are proportional, so ...
AD/AE = DC/EB
10.5/4.2 = CD/2.9
CD = 2.9(5/2) = 7.25
__
b)Corresponding sides are proportional, so ...
BC/AC = ED/AD
BC = AC(ED/AD) = 8.75(10.5 -4.2)/10.5 = 8.75(3/5) = 5.25
ASAP ANSWER PLEASE! 20 POINTSS!
A cylindrical shaped silo has a diameter of 18 feet and a height of 4 feet. How much water can the silo hold, in terms of π?
Refer to your STAAR 8th Grade Math Reference sheet for the appropriate formula.
Question 3 options:
162π ft3
324π ft3
648π ft3
12962π ft3
Answer:
th answer is 324
Step-by-step explanation:
i took the test
Helpp me with my sister's math
Answer:
pq - 12r
step by step explanation:
A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per hour worked the graph shows the relationship between pay per hour and number of hours worked for both scenarios.
Answer:
C. (25,20)
Step-by-step explanation:
Edge2022 <3
Good luck and remember (yall that take edge) , you can get through the day no matter how hard it may seem. I have faith In you guys :).
If number of hours worked is less than 20, 500 flat rate is preferable
and, If number of hours is more than 20, hourly rate i.e. 20 per hour is better.
What is Inequality?An inequality is a mathematical statement that compares two values or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
In the first scenario, where there is a $500 flat rate regardless of the number of hours worked, the pay per hour remains constant at $500 divided by the number of hours worked.
So, the graph for this scenario would be a horizontal line at a height of $500.
In the second scenario, where the contractor is paid $20 per hour worked, the pay per hour is fixed at $20.
let the number of hours be worked be x.
Then, 20x < 500
x< 25
So, if number of hours worked is less than 20, 500 flat rate is preferable
and, If number of hours is more than 20, hourly rate i.e. 20 per hour is better.
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Mount Everest has a height of 8,850 meters above
sea level. A hiker at the peak descends 410 meters,
then climbs down another 370 meters. What is the
hiker's new elevation?
Answer:
8,070 meters
Step-by-step explanation:
First we add :)
410 + 370 = 780
Now we subtract :)
8,850 - 780 = 8070
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If you are asked to factorize only, can you also expand the brackets ? Or you can’t u less you are asked to? Please answer..
What is the volume?
2 cm
2 cm
2 cm
cubic centimeters
Answer:
V = 8 cm³
Step-by-step explanation:
the volume (V) of a cube is calculated as
V = s³ ( s is the side length )
here s = 2 , then
V = 2³ = 8 cm³
Answer:
8 cm
Step-by-step explanation:
length = 2 cmbreadth = 2 cmheight = 2 cmvolume = L*b*h = 2*2*2 = 8 cm