Kelly likes to fish at the lake near her house. She caught 8 fish last week, measured them, and put them back in the lake. The lengths of the fish, in inches, are shown.

9, 12, 10, 8, 11, 12, 13, 6

Assuming this data is representative of the fish in the lake, what is the mean length of the fish in the lake?

Answer:

6000

Explanation:

The expected profit from the investment can be calculated as the multiplication of each possible profit or loss by their respective probability.

Therefore, the expected profit is equal to:

E = 50,000(0.2) + 10,000(0.6) + (-50,000)(0.2)

E = 10,000 + 6,000 - 10,000

E = 6,000

Because there is a 20% of probability to win $50,000 (economy remain strong), there is a 60% of probability to win $10,000 (economy grows at a moderate pace), and there is a 20% of probability a loss of $50,000 (the economy goes into recession).

Therefore, the expected profit from this investment is:

6000

The box plot that matches the data is a box and whisker plot is shown above a number line that extends from 0 to 20 with 1-unit markings. The box extends from 4 to 8, with the median at 5. There is also a point marked at 7. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12.

A box and whisker plot is a graph that is made up of two lines and a box. The two lines are known as whiskers. The end of the first whisker is the minimum value and the end of the second whisker is the maximum value.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

The data : 2, 3, 4, 4, 5, 5, 7, 8, 9, 12

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Given the triangle KLM, you can find the measure of angle L by using the Law of Sines. This states that:

Where "a", "b" and "c" are sides of the triangle, and "A", "B", and "C" are the angles.

In this case, you can set up this equation:

Knowing that:

You can substitute values into the equation and solve for "L". Remember the use the Inverse Trigonometric Function Arcsine, in order to solve for the angle:

Hence, the answer is:

Answer:

30 dollars

Step-by-step explanation:

3/8 and 2/5 is 31/40 and 300.00

Answer is 30.775

Answer: 30 dollars

Step-by-step explanation: cant put explanation right now in a rush! make the other person brainliest they deserve it! :)

The image of the function after it is vertically stretched is f'(x) = 4|x + 3|

The function is given as

f(x) = |x + 3|

The transformation is given as

Vertical stretch by a factor of 4

This implies that we stretch the function f(x) by a factor of 4

This transformation is represented mathematically as

(x, y) = (x, 4y)

So, we have

f'(x) = 4 * f(x)

So, we have the following equation

f'(x) = 4 * (|x + 3|)

Remove the bracket

So, we have

f'(x) = 4 * |x + 3|

Evaluate the products

So, we have

f'(x) = 4|x + 3|

Hence, the equation of f'(x) is f'(x) = 4|x + 3|

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Answer:

2y-4x=6

Step-by-step explanation:

it can be correct i dk

The coordinates of the point C on the line AB such that AC is 2/3 the length of AB is (3,6) .

In the question ,

it is given that

the coordinates of the end points of A and B is A(-1,2) and B(5,8) .

also AC = 2/3(AB)

So , AC/AB = 2/3

and given that point C is on the line AB , hence AC+CB=AC

2+CB=3

So , CB=1

hence AC/CB = 2/1

so , the point C divides the line AB in the ration 2:1 .

and we have the coordinates of end points ,

that is x₁[tex]=[/tex] -1 , y₁=2 and x₂=5 , y₂ = 8 and the ratio m=2 and n=1 .

Substituting the above values in the section formula ,

which states that the coordinate of point C will be

((m*x₂+n*x₁)/(m+n)  ,  (m*y₂+n*y₁)/(m+n))

= ((2*5+1*(-1))/(2+1) , (2*8+1*2)/(2+1))

= ((10-1)/3 , (16+2)/3)

= (9/3 , 18/3)

= (3,6)

Therefore , The coordinates of the point C on AB such that AC is 2/3 the length of AB is (3,6) .

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Answer:

x = -12

Step-by-step explanation:

Hello!

The sentence can be represented as (x + 5)-(2x) = 17.

We can solve for x by isolating the variable.

The value of x is -12.

The outer perimeter of the no-slip surface is equal to 78 feet.

Perimeter is a term used to describe the sum of the outside edge lengths or it can also be described as the whole of the outer edge or boundary.

The outer perimeter of this swimming pool can be determined by adding 3 feet twice to all the sides of the rectangular swimming pool and then adding these sides together.

Since it is a 12-ft-by-15-ft rectangular swimming pool, this means that two sides of this swimming pool are 12 feet and two sides of this pool are 15 feet, therefore;

12 + 6 = 18

15 + 6 = 21

Now the perimeter can be determined by adding all the sides as follows;

18 + 21 + 18 + 21 = 78 feet

Hence, the outer perimeter of the no-slip surface is calculated to be 78 feet.

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The room numbers of two adjacent classrooms are 359 and 361.

What is consecutive odd numbers?

Consecutive odd numbers are odd integers that are separated by 2 and come after one another.

Suppose the first odd number is x, then the another consecutive odd number is x + 2.

The sum of these two numbers is 720.

So,

x + (x + 2) = 720

2x + 2 = 720

2x = 718

x = 359

Therefore, the first odd number is 359 and the second add number is 361 which gives the sum 720.

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Answer: Yes

Step-by-step explanation:

because their overall shape it the same, their size is the only thing that sets them apart, so they're not identical

this is the answer to your equation hope it helps thanks

Answer:

D. [tex]\dfrac{27}{4}\\\\[/tex]

Step-by-step explanation:

[tex]\mathrm{With\;x=\dfrac{1}{8}\;and\;y = \dfrac{3}{16}\;we\;get}\\\\[/tex]

[tex]2\left(\dfrac{1}{8}+4\right)-\left(\dfrac{3}{16}\cdot 8\right)\\\\[/tex]

[tex]\mathrm{Calculate\:within\:parentheses}\:\left(\dfrac{1}{8}+4\right) = \dfrac{1}{8}+\dfrac{32}{8}} = \dfrac{33}{8}\\\\[/tex]

[tex]2\left(\dfrac{1}{8}+4\right) = 2\cdot \dfrac{33}{8} = \dfrac{33}{4}[/tex]

[tex]y \cdot 8 = \dfrac{3}{16} \cdot 8} = \dfrac{3}{2}\\\\[/tex]

So

[tex]2(x + 4) - y\cdot 8 = \dfrac{33}{4} - \dfrac{3}{2}\\\\\\= \dfrac{33-6}{4}\\\\= \dfrac{27}{4}\\\\[/tex]

We will use simple division to solve the problem. The number of representatives attended from each country is 706.

In the given question we know that a political gathering in South America was attended by 8475 people and each 12 territories of South America were equally represented. We need to find out how many representatives attended from each country. Inorder to find the number of representatives we can divide 8475 by 12.

number of representatives= 8475/12 =706

Therefore number of representatives from each country is 706.

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After combining the like terms of the given expression -4r -2r + 5 the equivalent expression is -6r +5.

As given in the question,

Given expression is equal to :

-4r -2r + 5

Now combine the like terms to get the equivalent expression we have,

Like terms of the given expression -4r -2r + 5 are -4r and -2r

( -4r -2r) +5

= -r (4+2) +5

= -6r +5

Equivalent expression of the given expression -4r -2r + 5  is -6r +5.

Therefore, after combining the like terms of the given expression -4r -2r + 5 the equivalent expression is -6r +5.

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The polynomial with zeros of −3, −1, and 2, and passes through the point (3,11) is:

P(x) = (11/24)*(x + 3)*(x + 1)*(x - 2)

We know that the zeros are −3, −1, and 2, so if we define the leading coefficient as A, the polynomial can be written as:

p(x) = A*(x + 3)*(x  + 1)*(x - 2)

Now we want this to pass through the point (3, 11), then we get:

p(3) = 11 = A*(3 + 3)*(3 + 1)*(3 - 2)

         11 = A*6*4*1

         11 = A*24

         11/24 = A

Then the polynomial is:

P(x) = (11/24)*(3 + 3)*(3 + 1)*(3 - 2)

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Center of circle = (-3, 6)

Diameter = 6

General equation of circle: x² + y² = r²

our answer will be in the form:

(x+a)² + (y+b)² = r²

Substitute center values and radius:

a = 3 (x was -3 but we don't trust it! It should be positive instead of negative)

b = -6 (same rules apply. Don't trust the value in the center. Its the opposite.)

r = 6/2 which is 3

answer: (x+3)² + (y-6)² = 3²

The exponential equation that represents the table is given as y = 81(3)^x.

Exponent-based equations in which the exponent or a portion of the exponent is a variable are known as exponential equations.

The standard exponential form is expressed according to the formula;

y= ab^x

Using the coordinate points (2, 9) and (3, 3) from the table, we can create simultaneous equation as shown;

9 = ab^2

3 = ab^3

Divide both equations

3/9 = ab^3/ab^2

1/3 = b^3/b^2

1/3 = b

Substitute b = 1/3 into any of the equations

3 = ab^3

3 = a(1/3)^3

3 = 1/27 a

a = 81

Determine the required equation

y = ab^x

y = 81(3)^x

This gives the required equation of the function.

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Answer: 81

Step-by-step explanation: Took the test & got it right :)

The first part of the journey took 4/3 hours (80 minutes)

The last part of the journey too 2/3 hours (40 minutes)

Here, we want to set-up equations to solve

We start by filling the table

Line 1

The rate for the first part of the race is 90 mph

The time for the first part of the race is F

Line 2

The time for the second part of the race is L

The distance (product of the rate and time) is 60L

So, adding these up give us the following equations to be added and solved below;

So, we proceed to solve these equations simultaneously

To get f, we simply substitute l into the first part of the equations;

Since an hour is 60 minutes;

Answer:

x=9

y=27

Step-by-step explanation:

the scale factor is [tex]\frac{4}{3}[/tex] so 6 × [tex]\frac{4}{3}[/tex] is x - 1

x-1 is 8

so x is 9.

Answer:

D y < 8

Step-by-step explanation:

the range is the interval or set of all valid y (functional result) values.

we can see the y values start at +8, and as the curve is only going down, clearly endlessly, every value smaller than 8 is valid.

8 itself is the be excluded, as there is a hollow point (a filled point would indicate "include").

and therefore we cannot say y <= 8.

we have to use y < 8.

Answer:

First, you must specify if the depreciation is simple or compound

The equation of the line for the given slope 1 is y= x + 2

Equation of the line:

An equation of the line refers the algebraic form of representing the set of points, which together form a line in a coordinate system.

Given,

The point where the graphs of two equations intersect has y-coordinate 2. One equation is y = -3x + 5.

Here we need to find the other equation if its graph has a slope of 1.

We know that, the general representation of equation of line is y= ax + b

where a is the slope and b is the y intercept.

Through the given details we know that the slope of the line is 1 and why is point where two lines intersect hence, it is the intercept.

And the intercept value is 2.

Therefore, the equation of the other line is y= x + 2

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Answer:

Step-by-step explanation:

x

=

−

2

x

=

−

5

Explanation:

x

2

+

7

x

+

10

=

0

We could right the equation in another form using brackets.

(

x

+

2

)

(

x

+

5

)

=

0

In order to get two numbers to multiply and give 0, at least one number has to be 0.

a stands for the first bracket and b for the second.

a x b = 0

a=0 or b=0 to make this equation valid.

Therefore x= -2 or x= -5 because -2+2=0 and -5+5=0 according to both brackets.

The quadratic function of h (x) in vertex form will be as h(x) = (x + 2)² − 3

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given that the values of x and h (x) for the quadratic function is given by;

x = -3, -2, -1, 0, 1, 2, 3,

h (x) = -2, -3, -2, 1, 6, 13, 22

Consider the quadratic function as;

h (x) = ax² + bx + c

Now Substitute x = -3 and h (x) = -2 in quadratic function we get;

h (x) = ax² + bx + c

- 2 = a × (-3)² + b × -3 + c

- 2 = 9a - 3b + c

And, Plug x = -2 and h (x) = -3 in function we get;

h (x) = ax² + bx + c

- 3 = a × (-2)² + b × -2 + c

- 3 = 4a - 2b + c

And, plug x = -1 and h (x) = -2 in function we get;

h (x) = ax² + bx + c

- 2 = a × (-1)² + b × -1 + c

- 2 = a - b + c

After solving we get:

a = 1 , b = 4 and c = 1

Then

h (x) = ax² + bx + c

h (x) = 1 × x² + 4x + 1

h (x) = x² + 4x + 1

h (x) = x² + 4x + 4 - 4 + 1

h (x) = (x + 2)² - 3

Hence, The quadratic function of h (x) in vertex form will be as h(x) = (x + 2)² − 3

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If we round 81.244 to the nearest whole number then it would be 81.

For 65.33 is 65. Then, we sum.

Answer:

hii!!! z = 3, ¼

Step-by-step explanation:

Hope this helps xb

The answer is very simple. .

6 + 2 (5 - 8 ) ² + 7

Firstly we solve what is inside the parenthesis

Then we solve the multiplications

Finally we solve the sums.

That is the solution.

Explanation:

The coordinates are given below are

The image is given below as

To calculate the coordinate of A,we will use the formula below

By substituting the values, we will have

Hence,

The coordinate of B will be