1. Determine the correlation coefficient for the following data.
4 8 10 9 11 6
y 1.6 2.4 2.0 2.6 2.1 2.2
Х

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

And,

∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )

135° + ∠6 = 180°

∠6 = 180° - 135°

∠6 = 45°

Now,

we see that ∠6 and ∠5 are making a linear pair of angles, and we know that angles in a linear pair measure 180° Thus,

∠5 + 45° = 180°

∠5 = 180° - 45°

∠5 = 135°

Thus, the value of angle 5 is 135°

Hope that helps. :)

Answer:

See below for proof

Step-by-step explanation:

[tex]\tan^2x\sin^2x\\\\(\sec^2x-1)(\sin^2x)\\\\(\frac{1}{\cos^2x}-\frac{\sin^2x}{\sin^2x})(\sin^2x)\\\\(\frac{\sin^2x-\sin^2x\cos^2x}{\sin^2x\cos^2x})(\sin^2x)\\\\\frac{\sin^2x-\sin^2x\cos^2x}{\cos^2x}\\\\\frac{\sin^2x}{\cos^2x}-\sin^2x\\\\\tan^2x-\sin^2x[/tex]

Hence, the identity is proven

Answer:

72 kg

Step-by-step explanation:

let weight of third person=x

62-55=x-62

7=x-65

x=7+65=72 kg

Answer:

1 is the answer to have the distance same

Answer:

-8.9° C

Step-by-step explanation:

Question:

Doing a scientific experiment the temperature of a container decreased by 35.7° C at a constant rate over 8 1/2 hours.

What value represents the change in the temperature of the container each hour?

Answer:

-8.9° C

Answer:

The skeletal system has many functions. Besides giving us our human shape and features, it:

Allows movement: Your skeleton supports your body weight to help you stand and move. Joints, connective tissue and muscles work together to make your body parts mobile.

Produces blood cells: Bones contain bone marrow. Red and white blood cells are produced in the bone marrow.

Protects and supports organs: Your skull shields your brain, your ribs protect your heart and lungs, and your backbone protects your spine.

Stores minerals: Bones hold your body’s supply of minerals like calcium and vitamin D.

Answer:

The correct answers are B & E

Step-by-step explanation:

The cost of adult tickets: 15$ * 2= 30$

The cost of student tickets: 8$ * 20= 160$

=> All the tickets cost 30$ + 160$= 190$

=> Martin still needs 10$ more to buy all of the tickets

Answer:

19.400

Step-by-step explanation:

19.400 equals out to 42769.67886386625

Answer:

C. 51

Step-by-step explanation:

For Square:

Length x Height

7 x 6 = 42

For Triangle:

Base x Height x 1/2

(6x3)1/2 = 9

42 + 9 = 51

Answer:

See below ↓

Step-by-step explanation:

A) The Western Beach width decreases with increase in time whereas the Dune Beach width increases with increase in time.

B) Between Year 11 and Year 12

C) Find out the exact change in width per year for both beaches and plot them lines of change on a graph or as equations. Find where they intersect on the graph or solve the pair of equations to find out when they will both have the same width.

Answer:

4x - 28

Step-by-step explanation:

[tex]-3(4x + 3) - (2x - 5) + 6(3x - 4)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b[/tex]

[tex]-\left(2x-5\right)=-2x+5[/tex]

[tex]=-3\left(4x+3\right)-2x+5+6\left(3x-4\right)[/tex]

[tex]=-12x-9-2x+5+6\left(3x-4\right)[/tex]

[tex]=-12x-9-2x+5+18x-24[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=-12x-2x+18x-9+5-24[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:-9+5-24=-28[/tex]

[tex]=-12x-2x+18x-28[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-12x-2x+18x=4x[/tex]

[tex]=4x-28[/tex]

~Learn with Lenvy~

Answer:

A. The solution is the region where both shaded parts overlap.

Step-by-step explanation:

The solution to a system of linear inequalities is the intersection region of the solution of both inequalities. Or you could also say that it's the region where the graphs of the inequalities in the system overlap.

The shaded area represents the solution and where the two inequalities overlap.

The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.

Current is the flow of electrons through a conductor when voltage is applied across the conductor.

Given the peak voltage of 18 V, hence:

[tex]V_{rms}=\frac{Peak\ value}{\sqrt{2} } =\frac{18}{\sqrt{2} } =12.73 V\\\\I_{rms}=\frac{V_{rms}}{resistance } =\frac{12.73}{4 } =3.18 A\\[/tex]

The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.

Find out more on current at: https://brainly.com/question/24858512

Answer:

¹

Step-by-step explanation:

Average Rate of Change is

ts

[tex] \frac{f(b) - f(a)}{b - a} [/tex]

Here b is pi, a is pi/2,

[tex] \cos(\pi) = - 1[/tex]

[tex] \cos( \frac{\pi}{2} ) = 0[/tex]

So we have

[tex] \frac{ - 1 - 0}{ \frac{\pi}{2} } = \frac{ - 1}{ \frac{\pi}{2} } [/tex]

Answer:

-2/pi

Step-by-step explanation:

Answer:

(a) 0 (b) 1^2

Step-by-step explanation:

photo number 1 is answer for question 2(a)

photo number 2 is answer for question 2(b)

Answer:

[tex]\sf 2 \frac14 \ cups[/tex]

Step-by-step explanation:

Add the amounts together:

[tex]\sf \implies \dfrac24+1+\dfrac34[/tex]

Convert the whole number 1 into a fraction with denominator 4:

[tex]\sf \implies \dfrac24+\dfrac44+\dfrac34[/tex]

As all the denominators are the same, we can simply add the numerators:

[tex]\sf \implies \dfrac{2+4+3}4[/tex]

[tex]\sf \implies \dfrac94[/tex]

Finally, convert the improper fraction into a mixed number:

[tex]\sf \implies 2 \frac14 \ cups[/tex]

Add all

[tex]\\ \rm\rightarrowtail \dfrac{2}{4}+\dfrac{3}{4}+\dfrac{4}{4}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{2+3+4}{4}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{9}{4}[/tex]

[tex]\\ \rm\rightarrowtail 2\dfrac{1}{4}cups[/tex]

Answer:

D. Mr. Anderson can travel 99.28 miles.

Step-by-step explanation:

If Mr. Anderson has 4 gallons and each gallon moves him 24.82 miles you can multiply the number of miles per gallon by the gallon resulting in an equation that looks like 4*24.82=99.28.

Answer:

Bottom Right graph

Step-by-step explanation:

The quation asks what slope of the graph represents how many people are served per hour. If 600 people are served in 10 hours, you divide 600 by 10 to see how many people are served per hour. In this case it is 60 people per hour. Then you find the graph that shows 60 more people served per hour. Hope this helps.

Answer:

200 meters2

Step-by-step explanation:

4 * 5 = 20

20 * 20 ÷ 2 = 200

Answer:

yes, a flag is created by sewing it together

Answer:

PM is radius

NL is diameter

LM is chord

LJ is secant

NJ is tangent

N is point of tangency

P is center

The geometric sequence 128,32,8,2 has a common ratio

The recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128

The geometric sequence is given as:

128,32,8,2

Start by calculating the common ratio (r)

[tex]r = \frac{a_{n}}{a_{n-1}}[/tex]

Substitute 2 for n

[tex]r = \frac{a_2}{a_1}[/tex]

Substitute known values

[tex]r = \frac{128}{32}[/tex]

Evaluate the quotient

[tex]r = 4[/tex]

Substitute 4 for r in [tex]r = \frac{a_{n}}{a_{n-1}}[/tex]

[tex]4 = \frac{a_{n}}{a_{n-1}}[/tex]

Cross multiply

[tex]a_n = 4a_{n-1}[/tex]

Hence, the recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128

Read more about geometric sequence at:

https://brainly.com/question/24643676

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²-  delta/4a²   and   delta = b²- 4ac

in this exercice you have : a =1    b = 16   and  c=64

continu ..........

Answer:

ONE “1”

Step by step:

Taking into account the definition of a system of equations, this nonlinear system of equations has one solution.

A system of equations is a set of two or more equations that share two or more unknowns. The solutions of a system of equations are all the values that are valid for all equations.

That is, to find the solution to a system of equations, you must find a value (or range of values) that satisfies all the equations in the system.

Graphically, the points where the graphs of the equations intersect will be the solutions to the system.

A system of equations with a linear equation and a quadratic equation can have two, one, or no solutions. To find its quantity, we must look for the intersection between both graphs:

If the graphs of the equations do not intersect, then there are no solutions for both equations. If the parabola and the line touch at a single point, then there is a solution for both equations. If the line intersects the parabola in two places, then there are two solutions to both equations.

In this case, you can see that the parabola and the line touch at a single point. Then there is a solution for both equations.

In summary, this nonlinear system of equations has one solution.

Answer: im pretty sure its 29 degrees .

Step-by-step explanation: your welcome <3

Answer:

88 cm²

Step-by-step explanation:

88 cm² is your answer

Answer:

D.) there is 9a and 6b ,3c and 1 thats four different terms

Step-by-step explanation:

Have a nice day! :D

Answer:

unfortunately one person will be without a bracelet

Answer: 120cm

Step-by-step explanation:

Multiply length x width x height

10 x 6 x 2 is equal to 120, so the volume is 120cm or centimetres.

Answer:

10cmx6cmx2cm

6x2=12

12×10=120cm

Answer:

x= -13.5

Step-by-step explanation:

X-3x+(-6)=21

-2x-6=21

-2x=27

2x=-27

x=-13.5