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The correlation coefficient of the dataset on the table is 0.8271

See attachment for the proper table that represents the relationship

Next, we compute a correlation coefficient using a graphing calculator.

The graphing calculator has the following calculation summary:

X Values

Y Values

X and Y Combined

The correlation coefficient is calculated using:

[tex]r = \frac{\sum((X - \bar y)(Y - \bar x)) }{ \sqrt{(SSx)(SSy)}}[/tex]

So, we have:

[tex]r = \frac{141.467}{\sqrt{(20.733) * (1410.933)}}[/tex]

Evaluate

r  = 0.8271

Hence, the correlation coefficient is 0.8271

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Answer:

t=In(37/20)/0.046

Step-by-step explanation:

p=2000

r=0.046

A=3700

t=?

3700=2000e^0.046t

switch sides

2000e^0.046t=3700

Divide both sides by 2000

$2000e^0.046t/2000=$3700/2000

Simplify

e^0.046=37/20

Apply exponent rules

0.046=37/20

Solve 0.046t = ln(37/20)

t=In(37/20)/0.046

Answer:

15, C

Step-by-step explanation:

Any number is equally likely to appear. Therefore, we have 3/20 * 100 = 15. This is C.

Hope this helped!

~clouddragon

cant delete this answer. my bad

Answer: 20

Step-by-step explanation:

    Box plots give us the median just by looking at them. See attached.

Answer:

1 number= 4.5

2 number= 3.5

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

a5 = 122

Explanation:

Given:

Solve:

a1 = 2

a2 = -3a1+2 = -3(2)+2 = -4

a3 = -3a2 + 2 = -3(-4)+2 = 14

a4 = -3a3 + 2 = -3(14) + 2 = -40

a5 = -3a4 + 2 = -3(-40) + 2 = 122

Answer:

a₅ = 122

Step-by-step explanation:

What is a₅ for the sequence defined by:

[tex]\left\{\begin{array}{ccc}a_1=2\\a_n=-3a_{n-1}+2\\\end{array}\right\\\\\\\hrule[/tex]

Letting n=2:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_2=-3a_{2-1}+2\\\\\\\\\Longrightarrow a_2=-3a_{1}+2\\\\\\\\\Longrightarrow a_2=-3(2)+2\\\\\\\\\therefore a_2=-4[/tex]

Letting n=3:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_3=-3a_{3-1}+2\\\\\\\\\Longrightarrow a_3=-3a_{2}+2\\\\\\\\\Longrightarrow a_3=-3(-4)+2\\\\\\\\\therefore a_3=14[/tex]

Letting n=4:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_4=-3a_{4-1}+2\\\\\\\\\Longrightarrow a_4=-3a_{3}+2\\\\\\\\\Longrightarrow a_4=-3(14)+2\\\\\\\\\therefore a_4=-40[/tex]

Letting n=5:

[tex]a_n=-3a_{n-1}+2\\\\\\\\\Longrightarrow a_5=-3a_{5-1}+2\\\\\\\\\Longrightarrow a_5=-3a_{4}+2\\\\\\\\\Longrightarrow a_5=-3(-40)+2\\\\\\\\\therefore \boxed{\boxed{a_5=122}}[/tex]

answer is here about stem and leaf

We know 4² = 16 , 4¹= 4

In this case we have :-

[tex] {4}^{x} = 14[/tex]

and we have to find the value of x

14 is less than 16 so x will be less than 2

14 is greater than 4 so x will be greater than 1

we can find the value of

[tex] {4}^{1.5} = {4}^{ \frac{3}{2} } \\ { (\sqrt{4}) }^{3} = {2}^{3} = 8[/tex]

so we can say 14 is much larger than 8 which means x will be much larger than 1.5

so according to above ideas we can say our answer is 2nd option which is 1.9037 is our answer

[tex]x \approx1.9037[/tex]

[tex]~~~~~~~4^x = 14 \\\\\implies \ln 4^x = \ln 14\\\\\implies x \ln 4 = \ln 14\\ \\\implies x = \dfrac{\ln 14}{ \ln 4}\\\\\implies x \approx 1.9037[/tex]

Answer:

$ 1.932

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

1/2 x base x height

In this problem: (It's times 2 because I split it up into 2 triangles.)

1/2 x 10 x 5 x 2 =

50

hope this helps

have a good day

Answer:

50-50

Step-by-step explanation:

If yoiu have 4 and divide it b

Answer: x = 0

Step-by-step explanation:

Given:

(x + 7)² = 49

Distribute:

x² + 7² = 49

Square:

x² + 49 = 49

Subtract 49 from both sides of the equation:

x² = 0

x = 0

  The only solution to this equation is 0.

-> We can also see this with graphing. See attached.

answer:

x=0

Step-by-step explanation:

(x+7)^2=49

take the square root of both sides

√(x+7)^2=√49

x+7=7

x=0

Answer:

add the seven to one and divide by three then subtract two

A and B are Similar

B and C are not Similar

A and C are not Similar

--

Square A and B use numbers in the tens whilst square C used 72 not tens and because A and B you add 20 to both sides and then they are equal.

Answer:

11.18 is the missing length

Answer:

Graph D

Step-by-step explanation:

Graph D is the graph of -2x + y < 5

Answer:

Step-by-step explanation:

Solution

The question is a bit obscure. The best choice I think, would be A. F(x) could equal something like y = x - 3. When y = 0, x = 3 or put the other way, when x = 3 y= 0.

The volume of the rectangular prism given its base area and its height is 264 units³.

A rectangular prism is a three-dimensional object that has six faces, 12 sides and 6 vertices.

Volume = length x width x height

base area x height

44 x 6 = 264 units³

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Answer:

$16.04

(see the answer for explanation)

The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.

In this question we understand that the area of the compound shape is the sum of the area of small rectangles and triangles:

[tex]A = \sum \limits^{n}_{i = 1} A_{i}[/tex]     (1)

Now we proceed to calculate the area of the compound shape:

A = 0.5 · (4 km) · (3 km) + (10 km) · (2 km) + (17 km) · (7 km) + (2 km) · (6 km)

A = 157 km²

The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.

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Answer:

1 ft = 12 in

1 in = (1/12) ft

30 in = (30/12) ft

30 in = 5/6 ft

The area of the surface that Jared needs to paint is:

2(12*9 + 15*9) - 2(5*6 + (5/6)*6) = 416 ft^2

Step-by-step explanation:

Answer:

3 gallons of paint

Step-by-step explanation:

Steps you have to take,

Formula:

[tex](A = lw)(2) + (A = lw)(2) - (A = lw)(2) - (A = lw)(2)[/tex]

[tex](wall 1)(2) + (wall 3)(2) - (window)(2) - (door)(2)[/tex] ↑

door = 30in by 6ft

30in to feet =  2.5 feet

[tex](A = 12(9))2 + (A = 15(9))2 - (A = 6(5))2 - (A =2.5(6))2[/tex]

[tex](A = 108)2 + (A = 135)2 - (A = 30)2 - (A = 15)2[/tex]

[tex](A = 216) + (A = 270) - (A = 60) - (A = 30)[/tex]

[tex]combine\\(A = 486) - (A= 90)\\(A = 396)[/tex]

396(2) =

792sq ft

We know that one gallon covers 350sq ft

792/350 =

2.26 gallons

(can't have .26 of a gallon so we round up)

Answer:

x=31

KPN =62

NPO=28

Step-by-step explanation:

KPO = 90(right angle) =2x + (x-3)

3X=90+3

X= 31

NPO = 31-3

NPO=28

KPN = 2*31

KPN =62

A real-life situation that can be modeled by a function is that Bob has 20 pens and buys extra 5 pens weekly.

It should be noted that a function simply means an expression that shows the relationship between the variables.

In this case, a real-life situation that can be modeled by a function is that Bob has 20 pens and buys extra 5 pens weekly.

The function will be:

= 20 + 5w

where w represents the number of weeks.

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The ratio of girls to boys is 4:5.

For every four girls that are in the camp, there are five boys.

The ratio of girls to boys is 4/5.

The ratio of boys to girls is 5:4.

The ratio of boys to girls is 5/4.

The ratio of boys to girls is 1 1/4.

What are the ratios?

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign used to denote ratios is :.

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Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

P(R or B)=[tex]\frac{5}{20}+\frac{9}{20}[/tex]

             =[tex]\frac{7}{10}[/tex]

Answer:

800 dollars

Step-by-step explanation:

The amount spent on equipment is 89% of the total

712÷89 = 8 x 100 = $800