PLEASE HELP!!!!!
Which of these equations, when solved, gives a different value of x than the other three?
9.1 = -0.2x + 10
10 = 9.1 + 0.2x
10 – 0.2x = 9.1
9.1 – 10 = 0.2x

Answers

Answer 1

Answer: 9.1-10=0.2x

Step-by-step explanation:

9.1 = −0.2x + 10

−0.2x + 10 = 9.1

−0.2x + 10 − 10 = 9.1 −10

−0.2x = −0.9

−0.2x / −0.2 = −0.9 / −0.2

x=4.5

10 = 9.1 + 0.2x

10 = 0.2x + 9.1

0.2x + 9.1 = 10

0.2x + 9.1 − 9.1 = 10 − 9.1

0.2x = 0.9

0.2x / 0.2 = 0.9 / 0.2

x=4.5

10 − 0.2x = 9.1

10 + (−0.2x) = 9.1

−0.2x + 10 = 9.1

−0.2x + 10 − 10 = 9.1 − 10

−0.2x = −0.9

−0.2x / −0.2 = −0.9 / −0.2

x=4.5

9.1 - 10 = 0.2x

-0.9 = 0.2x

-0.9 / 0.2 = 0.2x / 0.2

x= -4.5

Answer 2

Answer:

the answer is d/9.1 – 10 = 0.2x

Step-by-step explanation:


Related Questions

What is the fractions ratio of 2.3L of blue paint and 1.7L of yellow paint

Answers

The fractions ratio of 2.3L of blue paint and 1.7L of yellow paint is equivalent to 23 : 17.

What is Ratio?

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 is 2.3L of blue paint and 1.7L of yellow paint.

Quantity of Blue paint = Q[B] = 2.3L

Quantity of Yellow paint = Q[Y] = 1.7L

Assume that we represent the fraction ratio of Q[B] and Q[y] by x / y.

Therefore, we can write -

x / y = Q[B] / Q[Y]

x / y = 2.3 / 1.7 = 23/17

In the form of ratio, we can write x : y as 23 : 17.

Therefore, the fractions ratio of 2.3L of blue paint and 1.7L of yellow paint is equivalent to 23 : 17.

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please help me!!!!!!!!!!!!!

please help me!!!!!!!!!!!!!

Answers

Let x be the length of each row.
Denver can plant 3 rows of a certain length with 2 seedlings leftover.
Total number of seeds he has = 3x+2 Denver can plant 4 rows of the same length with 3 seedling spots left empty.
Total number of seeds he has = 4x-3 Using (i) and (ii), we get= 3x+2=4x-3

Isolate variable terms: 2+3=4x-3
Answer= 5=X

Urgent help is needed​

Urgent help is needed

Answers

a. The triangle can be sketched as shown in the attached image.

b.  The side length OE is 4√11 inches

c. The measure of ∠G is 27.82°

How to calculate the side length OE?

a. The triangle can be sketched as shown in the attached image.

b. We can use Pythagoras theorem  to calculate the side length OE. That is:

OE = √(15² - 7²)

OE = 4√11 inches

c. Using trig. ratio:

sin G = (4√11)/15    (opposite/hypotenuse)

sin G = 0.8844

G =  sin⁻¹ (0.8844)

G = 27.82°

Thus, the measure of ∠G is 27.82°

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Urgent help is needed

A. Please see attached photo for diagram

B. The length of side OE is 13 inches

C. The measure of  of angle G, ∠G is 62°

B. How do i determine the length of OE?

We can obtain the the length of OE by using Pythagoras theorem as shown below:

Length OG = 15 inchesLength GE = 7 inchesLength OE =?

OE² = OG² - GE²

OE² = 15² - 7²

OE² = 225 - 49

OE² = 176

Take the square root of both sides

OE = √176

OE = 13 inches

Thus, the length of OE is 13 inches

C. How do i determine the angle G?

The value of angle G, ∠G can be obtained as follow:

Hypothenuse = 15 inchesAdjacent = 7 inchesAngle G =?

Cos G = Adjacent / Hypothenuse

Cos G = 7 / 15

Cos G = 0.4667

Take the inverse of Cos

G = Cos⁻¹ 0.4667

G = 62°

Thus, angle G is 62°

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Urgent help is needed

Please help me with this !!!

Please help me with this !!!

Answers

Step-by-step explanation:

as this is total 90°angle

68°+x = 90 °

x = 90°-68°

x = 22 °

also

68° + 22 ° = 90 °

Answer:

90 - 68 = 22

the whole angle is 90

if we substract 68 from 90 , we will get the answer.

The following table shows a proportional relationship between a and b.

a b

8 3

24 9

40 15

Write an equation to describe the relationship between a and b.

Answers

A= 2 2/3B
Brainliest?


10. Suppose that y varies directly with x. When y is 12, x is -3. What is y when x is 4?

PLEASE HELP

10. Suppose that y varies directly with x. When y is 12, x is -3. What is y when x is 4?PLEASE HELP

Answers

Answer:

y = -16

Step-by-step explanation:

Given that,

y varies directly with x. Mathematically, we can write it as follows :

\(y\propto x\)

or

\(y=kx\)

Where

k is constant

Put y = 12 and x = -3 to find k. So,

\(k=\dfrac{y}{x}\\\\k=\dfrac{12}{-3}\\\\k=-4\)

Now put k = -4 and x = 4. So,

\(y=-4\times 4\\\\=-16\)

So, the required value of y is equal to -16.

What is the primary purpose of data democratization?
a) make data accessible to all users
b) make data inaccessible to all users

Answers

The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

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Simplify the expression 7x^2y^2−3xy−8xy+4x^2y^2.

Answers

Answer:

11x^2y^2-11xy

Step-by-step explanation:

factor 4a^2-b^2-2a+b

Answers

Answer:Equation at the end of step 1

 

STEP

2

:

           4a2 - b2

Simplify   ————————

            2a - b  

Trying to factor as a Difference of Squares:

2.1      Factoring:  4a2 - b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  4  is the square of  2  

Check :  a2  is the square of  a1  

Check :  b2  is the square of  b1  

Factorization is :       (2a + b)  •  (2a - b)  

Canceling Out :

2.2    Cancel out  (2a - b)  which appears on both sides of the fraction line.

Final result :

 2a + b

Step-by-step explanation:

three pizza are shared equally among 12 people. what fractionfo a pizza wll each person get?

Answers

Answer:1/4

Step-by-step explanation:

12 divided by 3 is 4 so each person will get a fourth of each pizza

Step-by-step explanation:

difference between of sub-merged and floating plants

Evaluate ∫ ∫ (x² + y²)dx dy over the region in the positive quadrant which x+y≤1.

Answers

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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The Becks buy a plastic tarp to cover their firewood. A rectangle that is eight and one-third yards long and six and three-fourths yards wide. Part A Which equation models the best estimate for the area of the tarp?

Answers

Answer:

56 1/4 yards

Step-by-step explanation:

Area of the tarp = length × width

Length = 8 1/3 yards

Width = 6 3/4 yards

Area of the tarp = length × width

= 8 1/3 yards × 6 3/4 yards

= 25/3 × 27/4

= (25 * 27) / (3 * 4)

= 675 / 12

= 56 1/4 yards

Area of the tarp = 56 1/4 yards

If the perimeter of a regular pentagon is 55x*y* + 35x"y - 5xy, what is the length of
each side? Find the length if x = 4.
Formula: P= 5S

Answers

Answer:

The formula for finding the side length of a regular pentagon is P = 5S, where P is the perimeter and S is the side length. In this case, the perimeter of the regular pentagon is given as 55x*y* + 35x"y - 5xy. If we set x = 4, then the perimeter equals 203, so S = 203/5 = 40.6. Therefore, the length of each side of the regular pentagon is 40.6 when x = 4.

7. The quality control division of Rothschild's Blueberry Farm randomly inspects 100 of the containers in the truck being
sent to Stop and Shop. Identify the population and sample given in this scenario.

Answers

The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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Consider the following system of equations. 2 ⁢ x − y = 12 − 3 ⁢ x − 5 ⁢ y = − 5 The steps for solving the given system of equations are shown below. Step 1 : - 5 ⁢ ( 2 ⁢ x − y ) = - 5 ⁢ ( 12 ) − 3 ⁢ x − 5 ⁢ y = − 5 Step 2 : − 10 ⁢ x + 5 ⁢ y = − 60 − 3 ⁢ x − 5 ⁢ y = − 5 Step 3 : − 13 ⁢ x = − 65 Step 4 : x = 5 Step 5 : 2 ⁢ ( 5 ) − y = 12 Step 6 : y = − 2 Solution: ( 5 , − 2 ) Select the correct statement about step 3. A. When the equation -3x − 5y = -5 is subtracted from -10x + 5y = -60, a third linear equation, -13x = -65, is formed, and it shares a common solution with the original equations. B. When the equations -10x + 5y = -60 and -3x − 5y = -5 are added together, a third linear equation, -13x = -65, is formed, and it has a different solution from the original equations. C. When the equation -3x − 5y = -5 is subtracted from -10x + 5y = -60, a third linear equation, -13x = -65, is formed, and it has a different solution from the original equations. D. When the equations -10x + 5y = -60 and -3x − 5y = -5 are added together, a third linear equation, -13x = -65, is formed, and it shares a common solution with the original equations.

Answers

The correct statement about step 3 include the following: C. When the equation -3x − 5y = -5 is subtracted from -10x + 5y = -60, a third linear equation, -13x = -65, is formed, and it has a different solution from the original equations.

How to solve these system of linear equations?

In order to determine the solution to a system of two linear equations, we would have to evaluate and eliminate each of the variables one after the other, especially by selecting a pair of linear equations at each step and then applying the elimination method.

Given the following system of linear equations:

2x - y = 12                .........equation 1.

-3x - 5y = -5               .........equation 2.

By multiplying the equation 1 by -5, we have:

-5(2x - y = 12) = -10x + 5y = -60

By adding the two equations together, we have:

-3x - 5y = -5

-10x + 5y = -60

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

-13x = -65

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A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches. How tall would a Rocky Mountain Juniper tree be if at the same time of day it casts a shadow of 20.3 feet? Round your answer to the nearest hundredth of a foot and enter only the NUMERIAL VALUE of your answer.​

Answers

The length of Rocky Mountain Juniper tree will be 1.269 feet.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches.

Now,

Let the height of Rocky Mountain Juniper tree = x feet

And, A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches.

So, The height of a Rocky Mountain Juniper tree be if at the same time of day it casts a shadow of 20.3 feet will be find as;

⇒ 5.1 / 81.6 = x / 20.3

Solve for x as;

⇒ 5.1 × 20.3 / 81.6 = x

⇒ 103.53 / 81.6 = x

⇒ x = 1.269 feet

Thus, The length of Rocky Mountain Juniper tree will be 1.269 feet.

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Write a linear function f with the values f(0) = 8 and f(4) = 20.

Answers

Step-by-step explanation:

f(0)=8

Coordinate: (0,8)

y intercept,c: 8

f(4)=20

Coordinate: (4,20)

gradient, m

= (20-8)/(4-0)

=3

Y=mx+c

f(x)=3x+8

f(x)=3x+8 is the  linear function f with the values f(0) = 8 and f(4) = 20.

What is Linear Function?

A linear function is a function that represents a straight line on the coordinate plane.

The given functions are f(0)=8 and f(4) =20

For f(0)=8

Coordinate: (0,8)

y intercept, c: 8

For f(4)=20

Coordinate: (4,20)

gradient or slope, m when x₁=0,y₁=8,x₂=4, y₂=20

=( y₂-y₁)/(x₂-x₁)

= (20-8)/(4-0)=12/4

=3

The linear equation is in the form, y=mx+c

So f(x)=3x+8, where 3 is the slope and 8 is y intercept.

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after polygon stuvw is reflected across the y-axis, what are the coordinates of s', the image of point s after the transformation?

Answers

After polygon STUV is reflected across the y-axis, the coordinates of point S' are (-2, 3).

Reflecting a polygon across the y-axis is a type of transformation in geometry that involves flipping the shape over the y-axis. When reflecting a polygon across the y-axis, the x-coordinates of all the points in the shape are multiplied by -1, while the y-coordinates remain the same.

In the case of polygon STUV, point S has coordinates (2, 3). When reflected across the y-axis, the x-coordinate becomes -2, while the y-coordinate remains 3. Therefore, the image of point S after the transformation, denoted as S', has coordinates (-2, 3).

It's important to note that reflecting a polygon across the y-axis is just one of many possible transformations in geometry. Other common transformations include translations, rotations, and dilations. These transformations can be used to explore the properties of shapes and to solve problems in geometry.

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It takes Laura 3/5 lbs of clay to make one bowl. If Laura has 10lbs of clay, how many bowls can she make?

Answers

Number of bowls that Laura can make with 10lbs of clay is 16

To find out how many bowls Laura can make, we need to divide the amount of clay she has by the amount of clay needed to make one bowl.

Let's start by converting the fraction 3/5 into a decimal:

3/5 = 0.6

This means that Laura needs 0.6 lbs of clay to make one bowl.

Now we can divide the total amount of clay Laura has by the amount of clay needed for one bowl:

10 ÷ 0.6 = 16.67

Laura can make 16 complete bowls with 10 lbs of clay, and she will have some clay left over (0.07 lbs to be exact) that is not enough to make another full bowl.

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the standard iq test has a mean of 101 and a standard deviation of 16. determine the required sample size if we want to estimate the population mean with 98% confidence to within 4 iq points of the true mean.

Answers

we need to randomly sample 145 individuals from the population and calculate their mean IQ.

To determine the required sample size for estimating the population mean with 98% confidence to within 4 IQ points of the true mean, we can use the formula:
n = \((Z\alpha /2 × σ / E)^{2}\)
Where: n = sample size
Zα/2 = the Z-score for the desired confidence level (98% confidence corresponds to Zα/2 = 2.33)
σ = the population standard deviation (given as 16 IQ points)
E = the desired margin of error (4 IQ points)
Plugging in these values, we get:
n = \((2.33 × 16 / 4)^{2}\)
n = 144.49
Rounding up to the nearest whole number, we get a required sample size of n = 145.

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The sum of 3 consecutive even numbers is 72 what is the smallest of the three numbers

Answers

Answer:

23

Step-by-step explanation:

x + (x + 1) + (x + 2) = 72

3x + 3 = 72

3x = 69

x = 23

check answer:

23 + 24 + 25 = 72

on a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. what was the number of men on the sight-seeing tour?

Answers

As per the ratio, the number of men on the sight-seeing tour is 4.

In the given sight-seeing tour, we are told that there were 14 people in total. We are also given the ratio of women to children, which is 5 to 2. This means that for every 5 women on the tour, there were 2 children.

To find the number of men on the tour, we need to first find the number of women and children. We can do this by dividing the total number of people by the ratio of women to children.

Let's use a variable to represent the number of sets of 5 women and 2 children. We'll call this variable "x".

So, the number of women on the tour is 5x and the number of children is 2x.

Now, we can set up an equation to find the value of x:

5x + 2x = 14

This equation represents the total number of women and children on the tour, which is equal to 14.

Simplifying the equation, we get:

7x = 14

Dividing both sides by 7, we get:

x = 2

This means that there were 2 sets of 5 women and 2 children on the tour. So, the number of women is:

5x = 5(2) = 10

The number of children is:

2x = 2(2) = 4

Now, we can find the number of men by subtracting the number of women and children from the total number of people:

14 - 10 = 4

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A square with side lengths of

6

cm is enlarged using a scale factor of

2.5

. What will be the perimeter and area of the enlarged square?


perimeter =

30

cm; area =

60

cm2

perimeter = 30 cm; area = 60 cm, 2


perimeter =

34

cm; area =

72.25

cm2

perimeter = 34 cm; area = 72 point 2 5 cm, 2


perimeter =

60

cm; area =

90

cm2

perimeter = 60 cm; area = 90cm, 2


perimeter =

60

cm; area =

225

cm2

Answers

The perimeter of the enlarged square is 60 cm, and the area of the enlarged square is 225 cm². The perimeter of a square is equal to the sum of the sides of the square. If the side of the square is x, the perimeter of the square is 4x.

So the perimeter of the original square with side length 6 is:

Perimeter = 4 × 6

             = 24 cm

To find the perimeter of the enlarged square, we need to multiply the original perimeter by the scale factor, which is 2.5. The perimeter of an enlarged square

= 24 × 2.5

= 60 cm.

So, the perimeter of the enlarged square is 60 cm. To find the area of a square, we square the length of one of the sides. So, the area of the original square with side length 6 is:

Area = 6 × 6

= 36 cm²

To find the area of the enlarged square, we need to square the length of one of the sides of the original square and then multiply by the scale factor².

Area of enlarged square = (6 × 2.5)²

                                        = 15²

                                       = 225 cm²

So, the area of the enlarged square is 225 cm².

The given square has a side length of 6 cm. When the square is enlarged using a scale factor of 2.5, we need to find the perimeter and area of the enlarged square. The perimeter of a square is equal to the sum of the sides of the square. So, if the side of the square is x, the perimeter of the square is 4x. The side of the given square is 6 cm. Therefore, the perimeter of the original square is:

Perimeter = 4 × 6

             = 24 cm

To find the perimeter of the enlarged square, we need to multiply the original perimeter by the scale factor, which is 2.5.

Perimeter of enlarged square = 24 × 2.5

= 60 cm.

So, the perimeter of the enlarged square is 60 cm. The area of a square is the product of the length of one side of the square with itself. So, if the side of the square is x, the area of the square is x². The side of the given square is 6 cm. Therefore, the area of the original square is:

Area = 6 × 6

       = 36 cm²

To find the area of the enlarged square, we need to square the length of one of the sides of the original square and then multiply by the scale factor squared.

Area of the enlarged square = (6 × 2.5)²

                                                = 15²

                                               = 225 cm²

So, the area of the enlarged square is 225 cm². Therefore, the perimeter of the enlarged square is 60 cm, and the area of the enlarged square is 225 cm².

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a school is running a fundraiser by selling 2000 raffle tickets for various cash prizes. Each raffle ticket costs $5. There are two prizes worth $10, two prizes worth $20, two prizes worth $100, and one grand prize ticket worth $500. Assuming all raffle tickets are sold and that you only buy one ticket, find your expected winnings

Answers

Your expected winnings from buying one raffle ticket are approximately $0.38.

To find your expected winnings, we need to calculate the probability of winning each prize and multiply it by the corresponding prize amount. Since you are only buying one ticket, we can calculate the expected winnings as follows:

Expected winnings = (Probability of winning $10) * $10 + (Probability of winning $20) * $20 + (Probability of winning $100) * $100 + (Probability of winning $500) * $500

The probability of winning each prize depends on the total number of tickets sold and the number of tickets available for each prize.

Given that there are 2000 raffle tickets sold and the distribution of prizes, we can calculate the probabilities as follows:

Probability of winning $10 = (Number of $10 prizes) / (Total number of tickets sold) = 2 / 2000 = 0.001

Probability of winning $20 = (Number of $20 prizes) / (Total number of tickets sold) = 2 / 2000 = 0.001

Probability of winning $100 = (Number of $100 prizes) / (Total number of tickets sold) = 2 / 2000 = 0.001

Probability of winning $500 = (Number of $500 prizes) / (Total number of tickets sold) = 1 / 2000 = 0.0005

Now, we can calculate the expected winnings:

Expected winnings = (0.001) * $10 + (0.001) * $20 + (0.001) * $100 + (0.0005) * $500

Expected winnings = $0.01 + $0.02 + $0.1 + $0.25

Expected winnings = $0.38

Therefore, your expected winnings from buying one raffle ticket are approximately $0.38.

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A newspaper in Germany reported that the more semesters needed to complete an academic program at the university, the greater the starting salary in the first year of a job. The report was based on a study that used a random sample of 24 people who had recently completed an academic program. Information was collected on the number of semesters each person in the sample needed to complete the program and the starting salary, in thousands of euros, for the first year of a job. The data are shown in the scatterplot below. 70 65 60 55 Starting Salary (1.000 euros) 50 45 35 30 25 5 10 15 20 Number of Semesters (a) Does the scatterplot support the newspaper report about number of semesters and starting salary? Justify your answer. b) The coefficient of determination is 0.335. Interpret this value in the context of this problem. c) Determine the value of the correlation coefficient. Interpret this value in the context of this problem.

Answers

a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

The Correlation Coefficient

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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The graph shows the distribution of the amount of time
(in minutes) people spend watching TV shows on a
popular streaming service. The distribution is
approximately Normal, with a mean of 71 minutes and a
standard deviation of 15 minutes.
Streaming TV
What percentage of people spend between 41 and 56
minutes watching TV shows on this streaming service?
O 13.5%
34%
47.5%
95%

Answers

The percentage of people that spend between 41 and 56 minutes watching TV shows on this streaming service is: 13.5%

How to find the p-value from z-score?

The formula for the z-score here is:

z = (x' - μ)/σ

where:

x' is sample mean

μ is population mean

σ is standard deviation

Thus, for:

σ = 15

μ  = 71

x' = 41, we have:

z = (41 - 71)/15

z = -30/5

z = -6

for:

σ = 15

μ  = 71

x' = 56, we have:

z = (56 - 71)/15

z = -15/5

z = -3

From online p-value from 2 z-scores calculator, we have the p-value as:

P(-6 < z < -3) = 0.135

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George has a spinner with three equal sections colored orange, blue, and white. He spins the spinner 100 times. What is the experimental probability of landing on the orange section?

Answers

Answer:

1/3

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

probability of landing on the orange section = proportion of the orange section / total proportions of all the colours

= 1/3

Classify the following polynomial as a monomial, binomial, trinomial, or none of these.
x + y + z

Monomial

Trinomial

Binomial

None of these

Answers

Answer:

Trinomial.

Step-by-step explanation:

A monomial has one term. A binomial has two terms. A trinomial has 3 terms.

x + y + z has 3 terms; x, y, z. So it is considered a trinomial.

48.49 ÷ 0.4
Round your answer to the nearest hundredth

Answers

Answer:

121.23

Step-by-step explanation:

When you enter the equation, you get 121.225.  The hundredths place is 2 decimal places.  You need to determine if the 5 will make the 2 go up or down.  5 or more, raise the score, 4 or less, let it rest.  Since it is a 5, you will round up.  

Audrey has 12 yards of decorative fence border to put around her garden. She uses all the border to make 4 sections that are all the same length which expression does not represent one of the sections?
A. 12 ÷ 4
B. 4÷ 12
C. 4 × 12
D. 12/4

Answers

The expressions which does not represent one of the section is 4 ÷ 12 and 4 × 12

The correct answer options is option B and C

What is the expression to represent one of the sections?

Algebra is a system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Quantity of decorative fence border = 12 yardsNumber of sections = 4

The expression to represent one of the sections = Quantity of decorative fence border ÷ Number of sections

= 12 ÷ 4

= 12 / 4

Therefore, the expressions which does not represent one of the section is 4 ÷ 12 and 4 × 12

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