Ten people were chosen at random and surveyed. Their annual incomes (X) and the amounts of their annual charitable giving (Y) are both shown in the table below.

Using technology, compute the correlation coefficient, r, and determine if there is a correlation between the variables.
A.
r 0.86 ; strong correlation

B.
r -0.86 ; weak correlation

C.
r -0.14 ; weak correlation

D.
r 0.14 ; strong correlation

Answer:

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation:

It is C because if you pinpoint 1.5 on the x axis and look at the y axis right above it, go to the right and you will see 15 so C is the answer.

Answer:

The expression is [tex]T(n) = 2*(3)^n[/tex]

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same.

The general rule of an geometric sequence is given by:

[tex]T(n) = T(0)(q)^n[/tex]

In which T(0) is the initial amount and q is the quotient.

During the first 4 years after the fire, she records 2, 6, 18, and 54 trees.

First term is 2, so [tex]T(0) = 2[/tex].

Quotient is [tex]q = \frac{54}{18} = \frac{18}{6} = \frac{6}{2} = 3[/tex]

So

[tex]T(n) = T(0)(q)^n[/tex]

[tex]T(n) = 2*(3)^n[/tex]

The expression is [tex]T(n) = 2*(3)^n[/tex]

Answer:

No 1/3 is not greater than 5/9.

Step-by-step explanation:

Answer:

Population of fish in 2010 = 1,646 fish (Approx.)

Step-by-step explanation:

Given:

Population of fish in 2002 = 2100 fish

Decrease rate = 3% per year

Find:

Population of fish in 2010

Computation:

Number of year = 2010 - 2002

Number of year = 8 year

A = P[1+r]ⁿ

Population of fish in 2010 = Population of fish in 2002[1+(-3%)]ⁿ

Population of fish in 2010 = 2100[1-0.03]⁸

Population of fish in 2010 = 2100[0.97]⁸

Population of fish in 2010 = 2100[0.7837]

Population of fish in 2010 = 1645.77

Population of fish in 2010 = 1,646 fish (Approx.)

Answer:  ($3.50- 10% = 3.4)

                ( 3.4 + 6.25% = $3.46 or 3.4625 )

Step-by-step explanation:

The final cost of milk is $ 3.36875

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

price of galloon of milk = $3.50

Discount  = 10%

tax = 6.25%

Now, price after discount

=3.5 x 0.10

= 0.35

and, after tax

=3.5 x 0. 0625

= 0.21875

Hence, final cost of milk = 3.5 -0.35  + 0.21875= $ 3.36875

Learn more about unitary method here:

brainly.com/question/28276953

#SPJ2

Answer:

sohcahtoa

Step-by-step explanation:

Answer: (x - 2)^2 + (y + 3)^2 = 34

Step-by-step explanation:

The basic equation for a circle is

(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre of the circle

Using Pythagoras we can find r^2

r^2 = (2 - -1)^2 + (-3 - -8)^2

= 3^2 + 5^2

= 34

So the circle is (x - 2)^2 + (y - -3)^2 = 34

The Equation of Circle is (x -2)² + ( y + 3)² = 34.

The standard equation of a circle is given by: (x-h)² + (y-k)² = r². Where (h,k) is the coordinates of center of the circle and r is the radius.

We know the standard form of Equation of Circle

(x - a)² + (y - b)² = r²

where (a, b) is the Centre of the circle

Also, we have a  circle with a center at (2,-3) passes through the point (-1,-8).

Using Pythagoras theorem

r² = (2 - -1)² + (-3 - -8)²

= 3² + 5²

= 34

Thus, the Equation of Circle is (x -2)² + ( y + 3)² = 34.

Learn more about Equation of Circle here:

https://brainly.com/question/29288238

#SPJ2

Answer:

[tex] \frac{1}{3} \times \pi \times {r }^{2} \times h \\ \frac{1}{3} \times 3.14 \times 36 \times 20 \\ \\ = 753.6 {cm}^{3} [/tex]

either you can write it in terms of π

Answer:

ok so this is the solution go to search and look up the question you posted and it will give you the answer

THIS IS WHAT I found HOPE THIS HELPED

Step-by-step explanation:

Solution

753.98224cm³- think this is the answer check your answer choices to see if you have this choice 753.98224cm³

if not let me know 753.98224cm³

Answer:

No

Step-by-step explanation:

To check if the point fits into the line, we can substitute the x and y coordinates from the point (5, 4):

y = x

4 = 5

This statement(4 = 5) is not true, therefore, the point (5, 4) does not lie on the line y = x

Since the coordinates (5, 4) are not the same on both axis, hence the coordinates do not lie on the line y = x

Coordinate points are points written in the form (x, y) where x and y are values on the x and y axis respectively

Given the coordinate (5, 4), we are to determine if it lies on the line y =x.

For a coordinate to lie on the line y = x, the coordinate x and y axis must be equal.

Since the coordinate (5, 4) are not the same on both axis, hence the coordinates do not lie on the line y = x

Learn more on lines here: https://brainly.com/question/3493733

Answer:

Step-by-step explanation:

Area of room = 6×9.5=57m2

Area of room including verandah = 12×8.5=102m2

So area of verandah = 102−57=45m2

So cost of cementing the floor of this verandah = 45×80=3600rupees

Answer:

50 in

Step-by-step explanation:

The number of box tops expired this year is 34.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired.

So, the ratio is 312:24

39:3

13:1

He collected 441 box tops this year.

Here, the ratio is 441/13 =34

Therefore, the number of box tops expired this year is 34.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ6

Answer:

Explanation:

mGB = 90°

mGB = mBD

∴ mGD = 180°

⇒ mFE = 180 - (mDE + mFG)

mFE = 180 - (49 + 12)

mFE = 180 - 61

mFE = 119°

Answer:

119°

Step-by-step explanation:

[tex] In\: \odot A, [/tex] GD is diameter.

[tex] \therefore m\widehat{GFD} = 180\degree [/tex]

[tex] \because m\widehat {FG} +m\widehat {DE} = m\widehat {FE} \widehat{GFD} [/tex]

[tex] \therefore m\widehat {FG} +m\widehat {DE} + m\widehat {FE} = 180\degree [/tex]

[tex] \therefore 49\degree +12\degree + m\widehat {FE} = 180\degree [/tex]

[tex] \therefore 61\degree + m\widehat {FE} = 180\degree [/tex]

[tex] \therefore m\widehat {FE} = 180\degree - 61\degree [/tex]

[tex] \therefore m\widehat {FE} = 119\degree [/tex]

Answer:

280

Step-by-step explanation:

aight so substitute first

14(3(2)-4)(2(3)+4)

14(2)(10)

14×20

280

Answer:

The answer is b. But you asked for the thought process so...

Step-by-step explanation:

Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.

We know that

Speed = Distance/Time.

Or, Time = Distance/Speed.

So, the time taken to cover a distance of 50 miles on his first trip = 50/x hr.

And the time taken to cover a distance of 300 miles on his later trip = 300/3x hr.

= 100/x hr.

So we can clearly see that his new time compared with the old time was: twice as much.

Have a great day :)

Answer:

a) identity property of multiplication

b) commutative property in addition

Answer:

Use the Distance Formula! It's super simple. Btw your answer is 2i√7

Step-by-step explanation:

If you look at the second image you can see all the work plus steps to solve it yourself next time!

Please mark brainliest!

The distance between the two points will be 10 units.

A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.

Given points are (1,3) and (5,6). The distance between the points will be calculated as below:-

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

Substituting the given values, we get:

D = √((3 - (-3))² + (-4 - 4)²)

D = √(6² + (-8)²)

D = √(36 + 64)

D = √(100)

D = 10

Therefore, the distance between the two points (-3, 4) and (3, -4) is 10 units.

To know more about coordinate geometry follow

https://brainly.com/question/18120105

#SPJ2

Answer:

polynomial

the table shows x^2 = y

Answer:

I would say this is a polynomial function since there is no relation in the increasing y-values

Hope this helps!

Answer:

Step-by-step explanation: B

Just multiply 0.32 x 11

Answer:

A

Step-by-step explanation:

Answer: Universal set

Step-by-step explanation:

A universal set is usually represented by U and it is set that has all the elements of a related sets.

For example, if there are two sets which are X and Y. Let's say X = {1,2,3} and Y = {1,a,b,c}, therefore, the universal set will be U = {1,2,3,a,b,c}.

In the above scenario, H(...-2,-10,1,2,...3) is a Universal set.

answer:

statements

1. BD ≅ DE

2. CD ≅ DF

3. ∠BDC ≅ ∠EDF

4. ▲BDC = ▲EDF

5. BC ≅ EF

reasons

1. given

2. given

3. definition of vertical angles

4. SAS

5. CPCTC

step-by-step explanation:

Answer:

23.83

Step-by-step explanation:

If the number next to it is above 5 then you round it up.

So the 2 becomes a 3 because the 6 to the right of it is above 5.

Hope this helps

Brainliest would be appreciated

Answer:

5.88 x 1012

Step-by-step explanation:

To write each of these numbers in decimal notation, you move the decimal point the same number of places as the exponent. If the exponent is positive, move the decimal point to the right. If the exponent is negative, move the decimal point to the left. If you start at the decimal of 5.88 and move it 12 spaces to the right, then you get 5,880,000,000,000 miles.

The number represented in scientific notation is 5.88×1013.

It is the way of writing a large number between 1 to 10 with a power of 10.

We have,

5,880,000,000,000 miles is equivalent to 1 light year.

We can convert this number to scientific notation by moving the decimal point 13 places to the left

(because there are 13 zeros in 5,880,000,000,000) and multiplying by 10 raised to the 13th power:

So,

= 5,880,000,000,000

= 5.88 × 10¹³

Therefore,

The number represented in scientific notation is 5.88×1013.

Learn more about scientific notation here:

https://brainly.com/question/18073768

#SPJ3

Answer:

D. x^24

Step-by-step explanation:

If it is in the parenthesis you multiply.

-2*-12= 24

Two negatives equals a positive.

Answer:

What are you gonna do is across the x

Step-by-step explanation:

Answer: 25/37 = 0.67

Hopefully that helps!!