Here is a data set:

1 2 3 3 4 4 4 4 5 5 6 7

What happens to the mean and standard deviation of the data set when the 7 is changed to a 70?

Answer: B i think

Step-by-step explanation:

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

Based on the given points from the scatter plot on the number of CDs sold in millions, the line of best fit for the data is y = -45x + 90,895

The estimated number of CDs sold in 2008 was 535 CDs.

The line of best fit will take the form:
y = Slope(x) + y intercept

The value of x will be assumed to be the number of years since 1999.

The slope is:

= Change in y / Change in x

= (805 - 940) / (2002 - 1999)

= -45

The y intercept is:
940 = -45(3) + y

y = 90,895

The line of best fit is:

y = -45x + 90,895

This means that the number of CDs sold in 2008:

= -45(2008) + 90,895

= 535 CDs

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Answer:

$519

Step-by-step explanation:

We know that the one day sale price of the ski set is $324 and the markdowns are specified.

A markdown means a reduction in price, so to find the original selling price we need to add the amount of markdown to the sale price.

The markdown of the ski set is $75 + $120 = $195

So, to find the original selling price we need to add the markdown amount to the sale price:

$324 + $195 = $519

Therefore, the original selling price of the ski set was $519

Maci and 2 appointments and Logan had 3 appointments.

The linear equation that represents the total amount earned by Maci is:

Total amount earned = (amount per appointment x number of appointments)  + tips

$170 = ($60 x a) + $50

$170 = $60a + $50

$170 - $50 = $60a

$120 = $60a

a = $120 / $60

a = 2

The linear equation that represents the total amount earned by Logan is:

Profit = total revenue - total cost

Profit = (fee per appointment  x number of appointments) + amount received in tips - (rental fee x number of appointments)

$235 = ($75 x a) + $40 - ($10 x a)

$235 = $75a + $40 - $10a

$235 = $65a + $40

$235 - $40 = $65a

$195 = $65a

a = $195 / 65

a = 3

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Answer:

Step-by-step explanation: 3x^2 + 300 = 0

is a monomial expresion.

The completion of the table, showing the total costs for the number of pictures taken at Picture Co. is as follows:

Picture Co.

Number of   Total Costs

 Pictures

      1                $15

     2                $22

     3                $29

     4                $36

     5                $43.

The total costs is computed using addition and multiplication operations.

Addition and multiplication operations are two of the four basic mathematical operations, including subtraction and division.

The charge for the first picture = $15

The charge per additional picture = $7

Picture Co.

Number of   Total Costs

 Pictures

      1                $15

     2                $22 ($15 + $7)

     3                $29 ($15 + $7 x 2)

     4                $36

     5                $43 ($15 +$7 x 4)

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Drag the numbers (22, 27, 29, 33, 41, and 43) to complete the table.

Picture Co.

Number of   Total Costs

 Pictures

      1                $15

     2                $

     3                $

     4                $36

     5                $

Answer:

4

Step-by-step explanation:

The \(x\) intercept is where \(y=0\).

\(6x-3(0)=24 \\ \\ 6x=24 \\ \\ x=4\)

The Direction Angle Of The Given Vector is θ = 59.086

Given :

The Direction Angle Of The Given Vector. V <-3,5) Give Your Answer In Degrees In The Interval [0°, 360°). round to the nearest hundredth (2 decimal places). give just the number without the degree symbol.

what is Direction angle of vector ?

The direction angle of a vector v is the angle from the positive x -axis to v .using the arc tangent of the ratio of the vertical component of the vector and the horizontal component of the vector.

tan θ = b / a

= 5 / -3

= -5 / 3

= 1.67

θ = tan^-1 ( 1.67 )

θ = 59.086

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Answer:

subtract the new price from the original price

Step-by-step explanation:

To find the percent markdown, first subtract the new price from the original price

154.30-127.92

26.38

Then divide by the original price

26.38/154.30

.170965651

Multiply by 100% to get the percent decrease

17.0965651% decrease

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

RST

Step-by-step explanation:

The question is asking you to complete the congruence statement. In a congruence statement, the corresponding angles must be in the same order they are in, in the first half of the statement. In the first triangle <M=79, <N=60, and <O=42. So the other half must be in this same order. In the other triangle <R=79, <S=60, and <T=52, which is why the answer is RST.

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Answer:

1.5

Step-by-step explanation:

2/5 of 15/4

1 of 3/2

1 1/2

1.5

Given:

The triangles  ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.

     Statement                                       Reason                

Given:

To prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.

     Statement                                       Reason                

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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Answer:

180 different menus

Step-by-step explanation:

I believe that the way you solve this question is to multiply all the numbers of choices together. The product is the answer to this question

Answer:

120 different menus can be selected

Step-by-step explanation:

Variations

The catered menu will include a soup (S), a main course (M), a dessert (D), and a beverage (B).

Since there are 4 soups, 5 main courses, 3 desserts, and 2 beverages, one can think of any combination of a general pattern like S-M-D-B. Each place of this pattern can be used in 4,5,3, and 2 ways.

Thus, the total possible variations of the menu are 4*5*3*2= 120.

120 different menus can be selected

Answer:

Step-by-step explanation:

Points D, C and A are collinear as DC, CA and DA have same slope of 1/3.

Answer:

$0.23 per minute

$2.30 every 10 minutes

Step-by-step explanation:

there are 60 minutes in an hour so we divide 60 from 13.50

13.5/60= $.23

you make $.23 a minute and $2.30 every 10 minutes

Hopes this helps please mark brainliest

Answer:

Every minute you'll get $0.225 and per 10 minutes, you'll get $2.25.

Step-by-step explanation:

To find out how much you make per minute, divide $13.50 by 60. 60 because that is how many minutes is in 1 hour.

13.50 divided by 60 = $0.225

To find the amount you'll get for 10 minutes, multiply the last answer by 10, or just move the decimal sign over once:

$2.25

Brainliest please! I am so close to getting my next rating! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

The value of dz/dx is 27x^2 + 2y

Step-by-step explanation:

We have to given the function z = 9x^3 - 4y^2 + 2xy and we have to find the partial derivative of the given function. In the given function, we have to find partial derivation with respect to x. Therefore, the other values will be considered as constant and during the partial derivation, the constant value will become zero.

\(z=9x^3-4y^2+2xy \\\frac{dz}{dx} = 9\times 3x^{3-1} -0 +2y \\\frac{dz}{dx} =27x^2 + 2y \\\)

Therefore, the value of dz/dx is 27x^2 + 2y

Answer:

A

Step-by-step explanation:

Find the mean:

Day 1: 2

Day 2: 1

Day 3: 4

Day 4: 5

Day 5: 0

Day 6: 7

Mean = \( \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 \)

This does not exceed a daily mean of 3.5 hours which was set by her mom as a guideline.

Therefore we can conclude that:

"Chawrdi complied with the guideline because the mean number of hours played is \( \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 \).

The value of the missing length to the nearest tenth are;

a. x = 7.5

b. x = 7.8

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore ;

c² = a²+b²

a. x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = 7.5 ( nearest tenth)

b. using Pythagoras theorem also!

x² = 6²+5²

x² = 36+25

x² = 61

x = √61

x = 7.8( nearest tenth).

Therefore the value of the missing values are 7.5 and 7.8

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The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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Answer: (f+g)(x) = 6x²- 4x + 6

Step-by-step explanation:

We add f(x) and g(x) together, (4x²-5x+8) + (2x²+x-2)

Add like terms together, (4x²+2x²) + (-5x+x) +(8-2)

We are left with (f+g)(x) = 6x²- 4x + 6

Answer:

Two possibilities   --- see below

Step-by-step explanation:

x  first number   x+2  the next number

x   *   (x+2)  = x^2 + x = 1155

x^2 +2 x - 1155 = 0     Quadratic formula  shows

                                    x = 33   then    33, 35    

                                 or  x = -35   then  -35 , - 33

The equation represents the value of the car after 3 years is  V = 28900 (1 - 0.05)³

Price of the car = 28,900

Depreciation rate = 5%

Time period = 3 years

Calculating the amount of depreciation -

V = 28900 x (1 - 0.05)³

= 28900 x  (0.95)³

= 28900 x (0.857375)

= 24,827.75

Thus, the equation will be - V = 28900 (1 - 0.05)³ ( Depreciation means loss in value, thus the negative sign)

This equation accounts for the 5% yearly depreciation rate, which indicates that car value declines by 5% annually. The original cost of car must be multiplied by the depreciation factor (1 - 0.05) raised to the total time period (3 years) to get the car worth after three years.

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Complete Question:

A new car is purchased for 28,900 dollars. The value of the car depreciates at a rate of 5% per year. Which equation represents the value of the car after 3 years?

a. V = 28900 (1 + 0.05)^3

b. V = 28900 (1 - 0.05)^3

c. V = 28900 (0.05)^3

The formula for finding the sum of the interior angles in a polygon is expressed as

Sum = 180(n - 2)

where

n is the number of sides in the polygon

From the information given,

n = 20

Thus, the sum of angles in this polygon is

Sum = 180(20 - 2) = 180 * 18 = 3240

Since the polygon is regular, it means that all the angles are equal. Thus,

Measure of each angle = 3240/20 = 162 degrees

Answer:

h = √72 in.

Step-by-step explanation:

Height of the cone using pythagorean theorem, a² + b² = c², where:

a = h

b = ½(6) = 3 in.

c = 9 in.

Plug in the values

h² + 3² = 9²

h² + 9 = 81

h² + 9 - 9 = 81 - 9

h² = 72

h = √72

Answer:

option A

is the correct answer

Step-by-step explanation:

Wet grass forms a circular region of radius r=7 m.

∴ Length of the outer edge of wet grass(Perimeter) =2πr=2×

7

22

×7 m=44 m.

Answer:

22×3x=400

Step-by-step explanation:

x=52

There is a total of 52 blue tiles

Answer:

\(\frac{3}{22}= \frac{x}{352}\)

Step-by-step explanation:

I add 22 and 3 together to get the total number of tiles. Which is 25.

Then I divided 400 by 25 to get the scale factor. Which is 16.

I multiplied 22 by 16 to get 352. Then I just placed it into an equation.

the answer for X would be 48.