20, 33, 44, 53, 69, 75, 89, 90 Find the mean and the standard deviation. Round to the nearest thousandth.

The output value of g( -5 ) in the function g( x ) = −23( x - 4 )2 + 3 is 417.

A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.

Given the data in the question;

To find the g( - 5 ), replace all the occurrence of x with -5 in the function and simplify.

g( x ) = −23( x - 4 )2 + 3

g( -5 ) = −23( -5 - 4 )2 + 3

g( -5 ) = −23( -9 )2 + 3

g( -5 ) = −23( -9 × 2) + 3

g( -5 ) = −23( -18) + 3

g( -5 ) = ( -23 × -18) + 3

g( -5 ) = ( 414 ) + 3

g( -5 ) = 414 + 3

g( -5 ) = 417

Therefore, the output value of g( -5 ) is 417.

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Answer:

- 48.00

Step-by-step explanation:

Add all the debt up.

Answer: -48

Step-by-Step Explanation:

Money that Chad owes his Sister = $15

Money that Chad owes his Brother = $9

Money that Chad owes his Friend = $24

Total Money he owes = 15 + 9 + 24 = $48

Hence, Total Money he has = -48 (since he doesn't have any money)

The payment for each 6 h is equal to $ 432.2 while the payment for each 30 min would be  $ 36.01.

It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.

In the International System Units (SI), the standard unit for time is the second (s).  For solving any exercise, you need to know the relation between the units of the time. See below:

1h=60 min = 3600s

1 min = 60 s

Now you can solve the question from the rule of three for finding the payment in dollars.

The question gives: an each 8.33 min, the payment is 10 dollars. Thus, from this relation you can write:

First, you should convert 6h to minutes, then,

1 h ----- 60 min

6h ----- x

x=60*6=360 min

After that, you should apply the rule of three for finding the payment in dollars.

   8.33 min     -----  10 dollars.

   360 min    -------  x

8.33x=360*10

8.33x=3600

x= $ 432.2

You should apply the rule of three for finding the payment in dollars.

   8.33 min     -----  10 dollars.

   30 min    -------  x

8.33x=30*10

8.33x=300

x= $ 36.01

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In linear equation, 3 number of cups will be needed to marinade 4 pounds of chicken for grill.

What are a definition and an example of a linear equation?

Here we have the data from the question:-

Marcy will use 6 fluid ounces of lemon-garlic marinade for every pound of chicken.

Marcy plans to grill 4 pounds of chicken.

So total marinade required will be:-

Total marinade  =6x4=24 ounces

Now we know that the conversion:-

1 fluid Ounce = 0.125 Cup

24 fluid ounce =0.125 Cup

Hence 3 number of cups will be needed to marinade 4 pounds of chicken for grill.

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Answer:

x ≥ 97

Step-by-step explanation:

Average = Sum of values divided by the amount of numbers in a data set

Data Set: {75, 82, 94, 77, ?}

75 + 82 + 94 + 77 + ? = ? ÷ 5 = 85

85 x 5 = 425

75 + 82 + 94 + 77 + ? = 425 ÷ 5 = 85

75 + 82 + 94 + 77 = 328

425 - 328 = 97

Ray must score greater than or equal to 97, or x ≥ 97 in order to have an average of at least 85.

In a composite transformation as given you make first the transformation in the right and then the transformation in the left.

For the given point: (-7, 3)

1. Rotation 180°

2. Reflection over x-axis:

Answer: 3x-4

Step-by-step explanation: First Simplify, add the numbers 2x-9+x+5=2x-4+x Then combine like terms, 2x-4+x= 3x-4

The radius of the cylinder is decreasing at the rate of 0.22 cm per second.

One of the most important and fundamental curvilinear of a geometric shapes, a right circular cylinder has historically been a three-dimensional solid.

Volume of a right circular cylinder = π r² h

Now we differentiate w.r.t to get :

[tex]\frac{dV}{dT} =2 \pi r h\frac{dr}{dt} + \pi r^2\frac{dh}{dt}[/tex]

Taking the values we get :

[tex]-34.3 = 154 \frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt} = -0.22[/tex]

Hence the radius is decreasing at the rate of -0.22 cm per second.

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The parent function of the graph is

The function of the grapg will be

at x equals infinity y equals 1

Therefore

Therefore the function will now be

from the graph

x = 2 when y = 2

Therefore,

Therefore, the function is

Answer:

A. (1/2) bucket

Step-by-step explanation:

    6           11

4 ------ - 3 ------- = ?

    14          12

14 × 4 = 56

56 + 6 = 62

12 × -3 = -36

-36 - 11 = -47

 62       47

------- - -------

  14        12

 62(12)        47(14)

-------    -     -------

  14(12)         12(14)

744     658       86

------- - ------- = --------

 168     168       168

 86 ÷ 2

-------

168 ÷ 2

43

----- = 0.511

84

0.511 ≈ (1/2)

I hope this helps!

Answer:

1/2 bucket

Step-by-step explanation:

Answer:

(7,-3)

Step-by-step explanation:

x = 7

-2x - 9y = 13

* Substituition is the easieat way to solve such a function.

- Firstly, put "7" instead of "x" in the equation.

- multiply "7" by "-2"

- Solve for "y"

* -2x-9y = 13

* -2×7-9y = 13

* -14-9y = 13

* -9y = 27

* -9y/-9 = 27/-9

* y = -3

# Since x = 7, the output/"y" will be -3

(7,-3)

The equation that represent the relationship model that will reach $0 in the same number of days as the scenario gave is: y = -2x + 12

To solve this problem, we have to state the equation using the information of the problem.

Information about the problem:

Writing the equation according to the information gave, we have:

y = -2x + 12

Where:

So that (y) equals zero, the number of days (x) should be = 6

y = -2x + 12

0 = -2*6 + 12

0 = -12 + 12

0 = 0

The "y" variable is the dependent variable, because it will change according to the number of days passed (x).

The "x" variable is the independent variable, because it doesn't depend on any other value, just the number of days passed.

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

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We will have the following:

So, the volume is 486 ft^3.

Answer:

B. Undefined

Step-by-step explanation:

x = 4 is a vertical line, and vertical lines are Undefined because they go straight up.

The exponential expression equivalent to 8^3 that has a base of 2 is 2^9.

What is exponential expression?

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.

Applying the laws of indices,

The expression 8^3 can be written as,

8 x 8 x 8 = (2^3) x (2^3) x (2^3)

               = 2^(3+3+3)             ...{If a^m x a^n then a^(m+n) }

8 x 8 x 8 = 2^9    

Therefore, the exponential expression equivalent to 8^3 that has a base of 2 is 2^9.    

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Given data:

The given amount of equipment purchased by the Sandra is A=$1,200.

Answer:

Step-by-step explanation:

40.833 recurring and 9.166 recurring

or 40 5/6 and 9 1/6

Call the small number 's'

Call the big number 'b'

The word problem says:

B+S=50 and also that 5(S-1)=B which multiplied out is 5S-5=B

So, 5S-5=B=50-S

Therefore 6S=55 and the rest history!

Answer:

Step-by-step explanation:

Answer: x=37/3

Step-by-step explanation:

8x-11+5x+2x+6=180 ==> three angles of a triangle add up to 180 degrees

8x+5x+2x-11+6=180

13x+2x-5=180

15x-5=180

15x=185

x=185/15

x=37/3

Given the question

To resolve this, we can follow the steps below

Step1: Apply the logarithm rule

This will give=>

Since we have been given that

Step2: Substitute the given values into the equation

=>

Answer = 13

In this equation the solution for x in terms of a and b is 8.

What is equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

Sol- As per the question given that- ax-3= bx+5------(equation 1)

Let ax=3-----(equation 2)

And bx =5------(equation 3)

On adding equation(1)and (2) we get

(ax)+(bx)= 3+5

(ax)+(bx)=8

x(a+b)+y(a+b)=8

(x+y)+(a+b)=8

1×(a+b)=8

Thus

a+b=8

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Answer:

Domain: (−∞,∞),{x | x ∈ R}

Range: [0,∞),{y|y≥0}

Step-by-step explanation:

we have the function

Part A

For t=0

substitute

Part B

For t=5 years -------> Convert to months

t=60 months

substitute

Part C

Determine horizontal asymptote

The horizontal asymptote is given by the ratio of

P(t)=2,400 ---------> horizontal asymptote

that means

as the value of time t increases ------> the value of the population tends to 2,400 insects

the population cannot be greater than 2400 insects

The range for the function P(t) is the interval [20, 2400)

All real numbers greater than or equal to 20 insects and less than 2400 insects

Part D

Using a graphing tool

=========================================================

Explanation:

Anything perpendicular to Ax+By = C is of the form Bx-Ay = D

The given equation is x-y = -2 showing that A = 1, B = -1 and C = -2.

So Bx-Ay = D will update to -x-y = D

Plug in the coordinates of (-4,1) to find D.

-x-y = D

D = -x-y

D = -(-4)-1

D = 4-1

D = 3

We go from -x-y = D to -x - y = 3

Then multiply both sides by -1 to end up with x + y = -3

The two groups are given one is those who are studied and other is those who are not studied.

Studied - 88,100,94,79,92,100,95,83,89,99,100,91,89,95,100,93,96,84.

Arrange in order.

79, 83, 84, 88, 89, 89, 91, 92, 93, 94, 95, 95, 96, 99, 100, 100, 100, 100

The mean of this group is

The mean is 92.6.

The median of this group is

Use the median formula for even

Substitute the value of n =18

The median is 93.5.

The mode of this group is 100 as it is appears 3 times .

The another group is not studied group.

Not studied - 82,72,45,91,58,83,65,87,90,77,73,89.

Arrange in order-

45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91

The mean is determined as

The median is determined as

Substitute n=12.

There is no mode.

So, from the all the data given.

The mean of the group that studied is over 15 percent points higher than the mean of the group that did not studied.

The median of the group that did not studied is less than 80.

In general , those students that studied scored much higher than those students that did not study.

The correct options are a , c and e.

The simplified form of the expression as a fraction is -43/390.

Fractions are expression written as a ratio of two integers. For instance, a/b are known as fractions.

Given the expression below:

[2-|-2/3-2(-1/5)|]÷(-13)

In order to solve the expression, we will use the PEMDAS rule to have:

[2-|-2/3-2(-1/5)|]÷(-13)

[2-|-2/3+1/10)|]÷(-13)

Find the LCM

[2-|-20+3/30|]÷(-13)

[2-|-17/30|]÷(-13)

[2-(17/30)]÷(-13)

[60-17/30]÷(-13)

43/30÷(-13)

Change the division sign to multiplication

43/30÷(-13)

43/30 * -1/13

-43/390

This gives the simplified form of the expression.

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Each midpoint's coordinate is given by the mean of the respective coordinates of the two endpoints of the segment. Then, if we say M is the midpoint of that segment, we have:

Mx = (-4 + 4)/2 = 0/2 = 0

My = [6 + (-2)]/2 = (6 - 2)/2 = 4/2 = 2

Therefore, writing those coordinates as an ordered pair, we have:

M = (0, 2)

Yes, the number of scoops proportional.

Define Proportional

A linear relationship between two amounts or variables is indicated by proportionality. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.

Hence, It is proportional. This is because as the number of people increases, the number of scoops also increase.

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To make a poster you have to keep the ratio between lenght and height (otherwise it will look weird)

This is: