6, 3, 4, 7, 3, 7, 8, 5, 7 i. Find the median ii. Find the mean iii. Find the modal mark

Answer:

3/5 or 0.6

Step-by-step explanation:

Here, given the value of tan theta , we want to find the value of sine theta

Mathematically;

tan theta = 0pposite/adjacent

Sine theta = opposite/hypotenuse

Firstly we need the length of the hypotenuse

This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.

Let’s call the hypotenuse h

h^2 = 3^2 + 4^2

h^2 = 9 + 16

h^2 = 25

h = √(25)

h = 5

Now from the tan theta, we know that the opposite is 3

Thus, the value of the sine theta = 3/5 or simply 0.6

A = old value = 3431

B = new value = 3732

C = percent change

C = [ (B-A)/A ] * 100%

C =  [ (3732-3431)/3431 ] * 100%

C = (301/3431) * 100%

C = 0.0877 * 100%

C = 8.77%

Note: if C was a negative value, then we'd have a percentage decrease

Answer:  1) C. Reflexive Property of Congruence

               2) A. MD ≅ SG

               3) C. 5.3

               4) D. LK || MJ & JK ≡ LM

Step-by-step explanation:

1) An angle or side is congruent to itself by the Reflexive Property

2) TM ≡ LG       Sides are congruent (given)

   ∠M ≡ ∠G       Angles are congruent (given)

   MD ≡ SG       Sides are congruent                  

ΔTMD ≡ ΔLGS  Side-Angle-Side (SAS) Theorem

Note: The angle must connect the two sides

3) Use similarity proportion

[tex]\dfrac{6}{x}=\dfrac{9}{8}\\\\\\48=9x\\\\\\\dfrac{48}{9}=x\\\\\\5.3=x[/tex]

4) In order to prove a polygon is a parallelogram, you must show

A diamond coin? or a really fancy coin?

Answer:

the austraillian $2 coin

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

That would be an isosceles triangle, therefore, acute. All angles measure 60, therefore being acute. I'm not 100% sure though.

Step-by-step explanation:

X = the number of cards in his location

[tex]31 = (x+5)/2\\\\Multiply\\\\62 = x+5\\\\Subtract\\\\x = 57[/tex]

Hope this helps <3

Step-by-step explanation:

The formulae for median is

N=£f/2 that is the sum of frequency divide by two

Median =Nth term + (N + 1)th term divide by two

first of all do the cumulative frequency which is

2+0=2

2+8=10

10+4=14

14+10=24

24+6=30

therefore N=£f/2

N=30/2

=15

when you use the formulae

it will be 15+(15+1)/2

then check the cumulative frequency the value close to the range of 15 and 16 which is 14

then you trace 14 back to the conceded goals

which is 2

then you add 2+2 and divide by two

which is= 2

therefore the median is 2

Mean

formulae

mean=conceded goals multiply by the frequency/sum of frequency

0*2=0.

1*8=8

2*4=8

3*10=30

4*6=24

total is 70

sum of frequency is 10

according to the formulae 70/10=7

therefore the mean is 7

This expression cannot be simplified, as you cannot add or subtract variables raised to different exponents.

Answer:

Step-by-step explanation:

6z⁶ - 21z⁴ - 12z² = 2*3*z⁶ - 3*7*z⁴ - 4*3*z²

                           = 3z² (2z⁴ - 7z² - 4)

Answer:

B: 3x+5

Step-by-step explanation:

You can solve this equation by doing the following steps:

6x2 + x - 15 is your polynomial. So take your polynomial and factor it down.

6x^2 + x - 15 = 6x^2 - 9x + 10x - 15 = 3x(2x - 3) + 5(2x - 3) = (3x+5)(2x - 3).

Check your answers again.

A) 3x - 5

Would this be possible considering our last answer? Which was (3x + 5)(2x - 3). No, it's not adding, so it's wrong.

B) 3x + 5

Could this be possible? Yes, it could because it has the first half of our answer. (3x + 5), keep this in mind.

C) 4x - 5

There was no 4 in the last part, so no. It's wrong. We're working with 2, 3, and 5 only. No 4.

D) 4x + 5

Again, no 4. Make sure to double-check your answers before clicking.

Answer:

The constant proportionality of the table above is 16.

Step-by-step explanation:

In order to solve this problem, you must divide the weight of cat food by the number of bags. You must also continue doing this for each of the ratios shown in the table.

64 ÷ 4 = 16

80 ÷ 5 = 16

96 ÷ 6 = 16

So, the proportionality of the table is 16. As you can see, when we divided the numbers, they all had a quotient of 16, which is our proportion.

Answer:

"The decimal number is just a shorthand way of writing a fraction with a denominator of one thousand. It means the very same thing as . But this is just the algorithm for dividing the numerator by the denominator to get the decimal digits ."

Step-by-step explanation:

==================================================

Work Shown:

A = 2+i

O = -4, this is the letter 'oh' not to be confused with the number zero

P = -i

S = 2+4i

A-O+P+S = (2+i) - (-4) + (-i) + (2+4i)

A-O+P+S = (2+i)  + 4 + (-i) + (2+4i)

A-O+P+S = (2+4+2) + (i-i+4i)

A-O+P+S = 8+4i

Answer:

I hope it is correct ✌️

Answer:

4√7

Step-by-step explanation:

hyp1(9)/alt(x)=hyp2(7)/alt(x)

By cross multiplication, x^2 = 63

thus, alt = √63

Then, with Pythagorean theorem, (√63) ^ 2 + 7 ^ 2 = z ^ 2

Thus, 63 + 49 = z ^ 2

Thus, 112 = z ^ 2

Thus, z = √112

Thus, z = 4 √7

Answer:

Proved

Step-by-step explanation:

Taking R.H.S

=> [tex](x+y+z)[x(x+w^2y+wz)+wy(x+w^2y+wz)+w^2z(x+w^2y+wz)][/tex]

=> [tex](x+y+z)(x^2+w^2xy+wxz+wxy+w^3y^2+w^2yz+w^2xz+w^4yz+w^3z^2)[/tex]

Remember ∴ ω³ = 1

So we'll replace all ω³'s with 1

=> [tex](x+y+z)(x^2+y^2+z^2+w^2xy+wxy+w^2yz+w^4yz+w^2xz+wxz)[/tex]

=> [tex](x+y+z)[x^2+y^2+z^2+xy(w^2+x)+w^2yz+w^3*wyz+xz(w^2+w)][/tex]

Remember ∴ ω²+ω = -1

=> [tex](x+y+z)[x^2+y^2+z^2+xy(-1)+yz(w^2+w)+xz(-1)][/tex]

=> [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]

According to formula:

x³+y³+z³-3xyz = [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]

So, it becomes

=> [tex]x^3+y^3+z^3-3xyz[/tex]

Answer:

Segment AB || Segment CD

Step-by-step explanation:

Two lines are said to be parallel (||) if they do not meet, even when extended to infinity.

Given: <1 ≅ <3, ΔACD is an isosceles triangle.

Proof: Segment AB || Segment CD

From the diagram given,

AC ≅ AD (side property of isosceles triangle)

<3 = <4 (base angle property of an isosceles triangle)

<1 = <4 (alternate angle property)

Therefore, segment AB is parallel to segment CD.

Answer:

Exact Form:65/14

Mixed number Form:4 9/14

Step-by-step explanation:

Answer:

4 9/14

as an improper fraction: 65/14

hopefully this helped :3

Step-by-step explanation:

a^4  - a^4 = (a^2 +a^2)(a^2-a^2)

a^4 - a^4 = (a^2 + a^2)(a+a)(a-a)

there is no need of this solution, because it equal to 0 because a^4 - a^4 will be equal then it will be 0

 i hope this will help you

Answer:

Hello There!

~~~~~~~~~~~~~~~

a² ÷ a⁴ × a² =

1

Step-by-step explanation: Simplify the expression.

Hope this helped you! Brainliest would be nice!

☆_____________❤︎______________☆

Answer:

(i)[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]

(ii)M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii)P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv)P’U(M∩T’)={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Step-by-step explanation:

Given the sets:

ε = {x: 2 ≤ x ≤30, x is an integer}

M = {even numbers}={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = {prime numbers}={2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

T = {odd numbers} ={3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}

(i)This is the union of sets M and P. (Do not repeat same elemnts)

[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]

(ii)M-T: This is the set M less elements in set T.

Since [tex]M \cap T =\{\}[/tex], the set M-T=M.

M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii) P∪(M∩T)

[tex]M \cap T =\{\}[/tex]

Therefore:

P∪(M∩T) = P

P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv) P’U(M∩T’)

Since T is the set of odd numbers, its complement will be the set of even numbers.

T'=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

M∩T’=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

[tex]P' =\{4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30\}[/tex]

Therefore:

P’U(M∩T’) = {4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30} U {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Answer:

-3 =< x < 2

Step-by-step explanation:

-3 is less than or equal to x

x is less than +2

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Inequalities.

So basically here, we can see that, the dark dot indicates the closed bracket and white dot shows the open bracket.

so finally we get as,

=>

-3<=X<2

or we can write as,

=>

[-3,2)

To find the lateral area of a cone, use this formula:

[tex]\pi r\sqrt{h^2+r^2}[/tex]

where r is the radius (in this case, 11) and h is the height (in this case, 26)

Try plugging the values in. If you need additional help, feel free to ask!

Answer: c

Step-by-step explanation:

Answer:its from applications of trignometry

The distance between the two ships is 377.54 m.

Given that, two ships are located 200 m and 300 m respectively from a lighthouse and the angle formed by their paths to the lighthouse is 96°.

We need to find the distance between the two ships.

The cosine rule is c²=a²+b²-2abcosC

Now, c²=200²+300²-2×200×300cos96°

⇒c²=40000+90000-1,20,000×(-0.1045)

⇒c²=40000+90000+12,540

⇒c=377.54 m

Therefore, the distance between the two ships is 377.54 m.

To learn more about trigonometry application visit:

https://brainly.com/question/11687813.

#SPJ2

Answer:

Step-by-step explanation:

Standard form of the equation:

y  = [tex]-\frac{1}{4} (x+3)^2+3[/tex]

Directrix: y=4

Focus: (-3,2)

Points on the parabola (x,y):

(-5,2) (-3,3) (-1,2)

Distance from points to focus:

(-5,2) = (-3,2)

Answer choices:  (x+3)^2+(y−3)^2, (x−2)2+(y+3)2, (x+3)2+(y−2)2

(-5+3)^2+(2-3)^2=5

(-5-2)^2+(2+3)^2=74

(-5+3)^2+(2-2)^2=4

(-1,2)

Answer:

a) 1 : 4

b) 60 : 180 or 1 : 3

Step-by-step explanation:

Answer:

a. 1:4

b. 1:3

Step-by-step explanation:

Let’s start with a.

So the ratio 14:56 can be divided in two to 7:28 and they are both divisible by 7 we its most simplified form is 1:4 because 28/7 is 4 and 7/7 is 1.

Now for b.

So if 240 were sold in total and 180 of them were online them doing 240-180, 60 of them were sold in person so the ratio is 60:180 which can be simplified to 30:90 to 15:45 to 3:9 to 1:3.

Answer: B) 6

Step-by-step explanation:

First let's distribute the left side of the equation.

k - 16 + 4k = -2(2k -1) + 6k

Then let's combine like terms on the left side of the equation.

5k - 16 = -2(2k - 1) + 6k

Then let's distribute the right side of the equation.

5k - 16 = -4k + 2 + 6k

Then let's combine like terms on the right side of the equation.

5k - 16 = 2k + 2

Then let's move all the x's to one side, and all the constants to the other.

3k = 18

Then divide both sides of the equation by 3.

k = 6

Hope it helps <3

Answer:

6

Step-by-step explanation:

k - 16 + 4k = -2(2k -1) + 6k

5k - 16 = -2(2k - 1) + 6k

5k - 16 = -4k + 2 + 6k

5k - 16 = 2k + 2

3k = 18

k = 6

Answer:

9:00 am -------------------- 12:00pm ( There are 180 minutes between them)

Go 48 minutes back (132 Minutes between them)

That time is divided by 2

(4x minutes past 9:00 and x minutes left to reach 12:00)

132/3 = 44 minutes are left

OR

12:00- 44 minutes = 11:16

11:16-48 minutes =10:28

9 am + 88minutes (44 x 2) = 10:28

Answer:

x=-24

Step-by-step explanation:

2/3 x +3 =1/4x-7

8/12x+3= 3/12x-7

5/12x + 3 = -7

5/12x = -10

5/12x (12/5) = -10(12/5)

x=-120/5

x=24