Work out the mean for the data set below: 1, 2, 1, 2, 2, 5 Give your answer as a fraction.

Answer:

4 trust me

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

trust lol

Answer:

The answer is option C.

Step-by-step explanation:

[tex] \sqrt{ {81d}^{6} } = \sqrt{81} \times \sqrt{ {d}^{6} } \\ = 9 {d}^{3} [/tex]

Hope this helps you

Answer:c

Step-by-step explanation:

Answer:

It makes 360 / 60 = 6 revolutions per second. 6 revolutions is 12π radians.

Answer:

B

Step-by-step explanation:

a parabola would be x2 since it is square rooted it would be a curved so the answer would be the second graph

Answer:

a). [tex]V=\frac{U.F}{U-F}[/tex]

b). V = 15 units

Step-by-step explanation:

Focal length F of a lens made by combining two lenses of different focal lengths U and V will be,

[tex]\frac{1}{F}=\frac{1}{U}+\frac{1}{V}[/tex]

A). By solving the given formula,

    [tex]\frac{1}{V}=\frac{1}{F}-\frac{1}{U}[/tex]

    [tex]\frac{1}{V}=\frac{U-F}{U.F}[/tex]

    [tex]V=\frac{U.F}{U-F}[/tex]

B). If F = 6 and U = 10 then we have to find the value of V.

    By substituting the given values in the formula,

    [tex]V=\frac{6\times 10}{10-6}[/tex]

    [tex]V=\frac{60}{4}[/tex]

    V = 15 units

    Therefore, focal length (V) of the lens = 15 units

Answer:

1.3 million bicycles!

Step-by-step explanation:

Answer:

1.3 million bicycles

Step-by-step explanation:

got it right on edge 2020

Answer:

The radius is the square root of the constant term, z

Step-by-step explanation:

makes sense, also took the test :)

Answer:

C. The radius is the square root of the constant term, z.

Step-by-step explanation:

Hope this helps :)

Answer:

b) 5u.

Step-by-step explanation:

El triangulo es 45-45-90, entonces los dos lados son iguales. Si un lado es 8u, el otro lado tambien es 8u.

Entonces, 8u + x = 13u.

x = 13u - 8u

x = 5u

Espero que esto te ayude!

Answer:

Step-by-step explanation:

Compound Interest Formula, Amount, [tex]A(n)=P(1+r)^n[/tex]

Interest=Amount - Principal

[tex]I=P(1+r)^n-P[/tex]

At the end of 1 year, interest =Rs450, therefore:

[tex]450=P(1+r)-P\\450=P+Pr-P\\450=Pr[/tex]

At the end of 2 years, interest =Rs945, therefore:

[tex]945=P(1+r)^2-P\\945=P(1+r)(1+r)-P\\945=P(1+r+r+r^2)-P\\945=P(1+2r+r^2)-P\\945=P+2Pr+Pr^2-P\\945=2Pr+Pr^2[/tex]

Recall: Pr=450

Therefore:

[tex]945=2(450)+Pr^2\\945-900=Pr^2\\Pr^2=45[/tex]

Comparing Pr=450 and [tex]Pr^2=45[/tex]

[tex]\dfrac{Pr^2}{Pr}= \dfrac{45}{450}\\r=0.1[/tex]

Substitute r=0.1 to obtain P

0.1P=450

P=Rs4500

Therefore:

Step-by-step explanation:

taking common (a-b)

so we get the answer

Answer:

-4 + 4

Step-by-step explanation:

It is -4 + 4 because if you imagine on a number line, you go left 4 (since it is negative) and add 4, so you go to the right 4, which leaves to 0.

Or, you can think of it like this:

+4 - 4

= 4 - 4

= 0.

I hope this helps. Sorry if I was wrong

Answer:

the answer would be -4 and 4 thess two numbers has a sum of 0

Answer: w might be 9

Step-by-step explanation: the length of each sides of the smallest shaped polygon is 3 times less( like 6 in the biggest shape, it is 2 in the smallest one= 6/3:2) x might be 12 . And in other ways we can say that each length of the biggest shaped polygon is 3× the length of the smallest one.

Answer:

solution,

The two polygons are same.

[tex] \frac{4}{x} = \frac{y}{15} = \frac{3}{w} = \frac{2}{6} = \frac{z}{4} [/tex]

[tex] \frac{3}{w} = \frac{2}{6} \\ or \: 2w = 3 \times 6( \: cross \: multiplication) \\ or \: 2w = 18 \\ or \: w = \frac{18}{2} \\ w = 9[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Volume = πr²h

= 3.14 * 5² * 4

= 314 cubic yards

Answer:

[tex]314 yd^3[/tex]

Step-by-step explanation:

Hey there!

Volume = π r^2 h

Plug in,

(3.14)(5^2)(4)

5•5 = 25

25 • 4 = 100

3.14 • 100

= 314

Hope this helps :)

Answer:

nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]

Step-by-step explanation:

nth term of geometric sequence = a(n)

nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]

Where,

a =  first term

r = common ratio

n = number of term

So,

GP: 3/4, 1, 4/3, 16/9

a = 3/4

r = 1 / [3/4] = 4/3

n = n

nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]

nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]

Answer:

270[tex]\sqrt{3}[/tex] cm³

Step-by-step explanation:

A regular hexagon can be cut into 6 equilateral triangles.

The area (A) of an equilateral triangle can be calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ← where s is the side length, here s = 6

A = [tex]\frac{6^2\sqrt{3} }{4}[/tex] = 9[tex]\sqrt{3}[/tex] cm² ← multiply by 6

area of base = 6 × 9[tex]\sqrt{3}[/tex] = 54[tex]\sqrt{3}[/tex] cm²

The volume (V) of the prism is calculated as

V = area of base × height = 54[tex]\sqrt{3}[/tex] × 5 = 270[tex]\sqrt{3}[/tex] cm³

Answer:

Step-by-step explanation:

Given sinx< cos x and 0°< x < 90°, to get the possible value of x, we need to solve the given inequality for x.

sinx< cos x

Dividing both sides by cos x

sin x/cos x < cos x/cos x

tan x < 1

x < [tex]tan^{-1}1[/tex]

x < 45°

Since x is less than 45°, then one of the possible value of x can be 30° since 30° is less than 45° and 30° falls within the given range of values.

Answer:

c = 21

Step-by-step explanation:

c + 2c + 12 = 75

Combine like terms.

3c + 12 = 75

Subtract 12 from both sides.

3c = 63

Divide 3 on both sides.

c = 21

Answer:

B(-2,-3).

Step-by-step explanation:

The given points are A(-6,-5) and C(4,0).

We need to find the coordinates of point B on segment AC such that AB:BC=2:3.

It means point B divides the line segment AC in the ratio of 2:3.

Section formula: If a point divide a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Using section formula, the coordinates of point B are

[tex]B=\left(\dfrac{2(4)+3(-6)}{2+3},\dfrac{2(0)+3(-5)}{2+3}\right)[/tex]

[tex]B=\left(\dfrac{8-18}{5},\dfrac{0-15}{5}\right)[/tex]

[tex]B=\left(\dfrac{-10}{5},\dfrac{-15}{5}\right)[/tex]

[tex]B=\left(-2,-3\right)[/tex]

Therefore, the coordinates of point B are (-2,-3).

Answer:

Therefore, the coordinates of point B are (-2,-3).

Step-by-step explanation:

Answer:

(12, 40)

Step-by-step explanation:

The first thing is to assume that we have a point with the following coordinates (x, y).

Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.

Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:

(3 * 4, 4 * 10) = (12, 40)

Answer:

-7x + 2y - 2z.

Step-by-step explanation:

Using the distributive property, you basically have...

-1 * 7x + -1 * -2y + -1 * 2z = -7x + 2y - 2z.

Hope this helps!

Answer:

q = -7

Step-by-step explanation:

3 ^ -q * 1/27 = 81

Rewriting each as a power of 3

3 ^ -q *  3^ -3 = 3 ^4

We know that a^b * a^ c = a^ ( b+c)

3 ^ (-q -3) = 3 ^4

The bases are the same so the exponents are the same

-q-3 = 4

Add 3 to each side

-q-3+3 = 4+3

-q =7

Divide by -1

q = -7

Answer:

sin = 12/13 and tan = 12/5

The value of sin α will be 12/13 and tan α  will be 12/5 for the given triangle such that cosα= 5/13.

Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.

We know that

sin²α  + cos²α  =1  ⇒ sin²α  = 1 - cos²α

Given that cosα = 5/13 so by putting it

sin²α  = 1 - (5/13)²

sin²α  = 144/169  ⇒ sinα = 12/13.

Now since tanα = sinα /cosα  

tanα  = (12/13) ÷ ( 5/13)

tanα = 12/5.

Hence the value of sinα will be 12/13 and tanα will be 12/5.

For more information about the trigonometric function

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Answer:

All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.

Answer:

[tex]\boxed{x = -6}[/tex]

Step-by-step explanation:

[tex]x-48 = 6(x-3)[/tex]

Resolving parenthesis

[tex]x - 48 = 6x-18[/tex]

Adding 18 to both sides

[tex]x-48+18 = 6x\\x-30 = 6x[/tex]

Subtracting x from both sides

[tex]-30 = 6x-x\\-30 = 5x[/tex]

Dividing both sides by 5

[tex]-30/5 = x[/tex]

[tex]-6 = x\\[/tex]

OR

x = -6

Answer:

Step-by-step explanation:

x - 48 = 6(x - 3)

Expand the terms in the bracket

That's

x - 48 = 6x - 18

Group the constants at the right side of the equation and the ones with variables at the left side

x - 6x = 48 - 18

- 5x = 30

Divide both sides by - 5

Hope this helps you

Answer:

answer a is correct

Step-by-step explanation:

Answer: A. 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side

Step-by-step explanation: On Edge!!!!!!!!!!!

Answer:

OPTION C 17=√(27-12)²+(y2-15)² is the correct

Step-by-step explanation:

i hope this will help you :)

Answer:. C

If you are trying to get a value for the unknown y, use C.

Step-by-step explanation:

If there is already a value for y[sub2] and you are trying to find the distance, "A" would be correct.

Between 6 and 7

6×6=36

7×7=49

hopefully this helped

The number √37 is lies between whole numbers 6 and 7.

We have to given,

A number is, √37

By the definition of square root, we get;

⇒ √37 = 6.08

And, We know that,

Number 6.08 is lies between whole number 6 and 7.

Hence, We get;

⇒ 6 < √37 < 7

Therefore, The number √37 is lies between whole numbers 6 and 7.

Learn more about Number system visit:

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Hey there! :)

Answer:

17.

Step-by-step explanation:

Given:

f(x) = 2x² - 1

Substitute in 3 for x:

f(3) = 2(3)² - 1

f(3) = 2(9) - 1

Simplify:

f(3) = 18 - 1

f(3) = 17.

Answer:

Price of Bond X : $1,162.89

Price of bond Y : $854.66

Step-by-step explanation:

Given the following information :

Bond X :

Face value = $1000

Yield to maturity (YTM) / market interest rate = 9%

Coupon rate = 11%

Years to maturity = 15 years

Compounding frequency = semianually

Using the online bond price calculator, The bond price will be $1,162.89. The bond is sold at premium, since the par value is lesser than the bond price.

For Bond Y:

Face value = $1000

Yield to maturity (YTM) / market interest rate = 11%

Coupon rate = 9%

Years to maturity = 15 years

Compounding frequency = semianually

Using the online bond price calculator, The bond price will be $854.66. The bond is sold at a discount , since the par value is greater than the bond price.

Answer: a) 26

Step-by-step explanation:

-a would be because as you can see there is a pattern of sticks, so what i did was count up the sticks and i found that there was 6 in the first one. So i counted the second one and it was 10 so i realized that all i had to do was add 4.

and for b i think when it says n it means the nth term which is 4 so i think it means pattern 4 which would be 18 so try that out

hope this helped x