True or False: The distance between -7 and -13 dn a number line

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

The three cases that one can choose are:

1. Population variances are unknown but assumed equal

2. Population variances are unknown and not assumed equal

3. Population variances are known.

Population Variance:

Population variance is a measure of how a set of data points are distributed. Specifically, it quantifies the mean squared deviation from the mean. Therefore, if all data points are very close to the mean, the variance will be small. If the data points are spread over a large area, the variance will be large.

1.  Population variances are unknown but assumed equal:

Population Variance Unknown, but the same for small sample sizes. If the variances are equal, try to average them together. Equal does not mean identical. Two variances can be statistically equal but numerically different.

2.  Population variances are unknown and not assumed equal

Heteroscedasticity (heteroscedasticity) affects the Type I error rate and can lead to false positive results. When comparing two or more sample means, such as in a 2-sample t-test or ANOVA, large differences in variances obscure the differences between the means and can lead to false conclusions.

3. Population variances are known.

If the population variance is known, the mean difference is normally distributed. The variance of the difference is the sum of the variances divided by the sample size.

Learn more about Population Variance:

https://brainly.com/question/29998180

#SPJ4

Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

It is rational.

√1/4 = 1/4

Answer:

a^2

Step-by-step explanation:

a is the side and the area is a^2

Answer:

4

Step-by-step explanation:

the absolute value is the distance a number is from zero.

Answer:

Step-by-step explanation:

The absolute value of 4 is 4 and –3 is 3. Subtract the smaller number from the larger and you get 4 – 3 = 1. The larger absolute value in the equation was 4 or a positive number so you give the result a positive result. Therefore, the result of 4 + –3 = 1.

hope that helped, have a nice!

Using linear function concepts, we have that:

A linear function is modeled by:

y = mx + b

In which:

Given two points in a graph, the slope is given by change in y divided by change in x, hence:

More can be learned about linear function concepts at https://brainly.com/question/24808124

#SPJ1

Answer:

\(\fbox {See below} \downarrow\)

Step-by-step explanation:

\(\textsf {The function is :}\)

\(\boxed {h(x) = 2x - 2}\)

\(\textsf {Finding the missing values :}\)

\(\textsf {The table :}\)

\(\left[\begin{array}{ccc}x&f(x)\\-4&-10\\-2&-6\\1&0\\4&6\\5&8\end{array}\right]\)

Answer:

Step-by-step explanation:

Simplify parentheses : 0.5x+0.3=2.1x+9-5.5

Combine like terms : 0.5x+0.3=2.1x+3.5

Isolate the variable : -1.6x=3.2

Divide by -1.6 on both sides : x=-2

Answer:  the answer is in the picture

have a nice one

Step-by-step explanation:

Answer: 6

Step-by-step explanation: Division use a calculator 12/2

Answer:

6

Step-by-step explanation:

From question:

Dan has put his coins into 2 stacks

2 stacks in total

Each stack has the same number of coins

Number of coins in stack 1 = number of coins in stack 2

x = x

There are 12 coins total

Total number of coins in 2 stacks = 12

2x = 12

x = 6

There are six coins in one stack.

Answer:

x is 28

Step-by-step explanation:

When two lines intersected in a point, then they formed two pairs of vertically opposite angles. The vertically opposite angles are equal in measures

Let us solve our question

∵ AB and CD are straight lines intersected at O

∴ ∠AOC and ∠DOB are vertically opposite angles

∴ ∠AOD and ∠COB are vertically opposite angles

→ The vertically opposite angles are equal in measures

∴ m∠AOC = m∠DOB

∴ m∠COB = m∠AOD

→ ∠ COB is formed from ∠COE, ∠EOF, and ∠FOB

∵ m∠COB = m∠COE + m∠EOF + m∠FOB

∵ m∠COE = 3x, m∠EOF = x, m∠FOB = x + 12

∴ m∠COB = 3x + x + x + 12

→ Add the like terms

∴ m∠COB = 5x + 12

∵ m∠AOD = 152°

∵  m∠COB = m∠AOD

∴ 5x + 12 = 152

→ Subtract 12 from both sides

∴ 5x + 12 - 12 = 152 - 12

∴ 5x = 140

→ Divide both sides by 5

∴ \(\frac{5x}{5}=\frac{140}{5}\)

∴ x = 28

→ To justify the solution substitute x by 28 in m∠COB the answer must

   be 152°

∵ m∠COB = 5x + 12

∵ x = 28

∴ m∠COB = 5(28) + 12

∴ m∠COB = 140 + 12

∴ m∠COB = 152°

∴ The value of x is correct

Answer:

x equals -5. hope this helps:)

The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

From the question, we have the following parameters that can be used in our computation:

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

Read more about sequence at

brainly.com/question/30499691

#SPJ1

Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.

Let's calculate the cross-price elasticity of demand using the given information:

a. Find the percentage change in quantity demanded of good Y:

Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100

Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%

b. Find the percentage change in the price of good X:

Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100

Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%

Now, we can calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X

Cross-Price Elasticity of Demand = 25% / 25% = 1

b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:

If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.

Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.

For more questions on Demand.

https://brainly.com/question/14274996

#SPJ8

Answer:

Step-by-step explanation:

Here, we want to solve a proportional relationship problem

a) We have the proportion as follows;

b) X, when y = 30

Answer: 9x+4

Step-by-step explanation: We take out the parentheses by multiplying both values by 2 (2 times x and 2 times 3) to get 2x-6. Now our equation is 9x+2x-6-2x+10. We can see that there is a +2x and a -2x so we just take both of them out as they cancel out each other. Now our equation is 9x -6+10. we add 10 to -6 to get +4. The result is 9x+4.

Answer:

9x + 4

Step-by-step explanation:

9x + 2x - 6 - 2x + 10

Rearranging,

=> 9x + 2x - 2x + 10 - 6

=> 9x + 4

The values of u and v in the table are directly proportional to each other with a constant k is 3.

When x increases, y increases; when x decreases, y decreases.

The opposite of direct is indirect. When x rises, y falls; when x falls, y rises.

If you said y is directly proportional to x,

it would be y/x=k or y=kx.

Here given that,

u = 0.25, 0.3, 0.1

v = 0.75, 0.9, 0.3

So here v = 3u

That is v = 3 x 0.25

v = 0.75

Hence u and v are directly proportional with a constant k = 3

When v = 2/5

To find u,

v = 3u

2/5 = 3u

u = 2/15

When u = 3/7

Then v = 3 x 3/7

v = 9/7

To learn more about direct proportion refer to :

https://brainly.com/question/28691574

#SPJ1

Answer:

$6

Step-by-step explanation:

B- 3P+2C=$41

C-1P+2C=$29

since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought

12/2=6

since you need to find the price of 1 popcorn you have to divide 12 by 2

Answer:

Paige is incorrect.  g(x) has a steeper slope

Step-by-step explanation:

The slope for f(x)  is

m =( y2-y1)/(x2-x1)

   = (17/2 - 5/2) / ( -1 - -6)

    = (17/2 - 5/2) / ( -1 +6)

    = (12/2)/5

    = 6/5

The slope for g(x)  is

m =( y2-y1)/(x2-x1)

   = (-1 - 13/3) / ( 6 - 2)

    =(-3/3 -13/3) / (6-2)

    (-16/3)/4

     -16/3 * 1/4

   - 4/3

Comparing the magnitudes

|6/5|   |-4/3|

|6/5*3/3|     |-4/3*5/5|

|18/15|           |20/15|

|20/15| is greater so it has a steeper slope

g(x) has a steeper slope

Step-by-step explanation:

7y=4x-5

y=(4/7)x-5/7

slope is equal to m where m is

y=mx+b

in this case m is 4/7

so slope =4/7

Answer:

-2y-4x-4=0

Step-by-step explanation:

the first one is 3.15 and the second one is 630

Answer:

dy/dx = 6x(x²-3)cos2x - 2(x²-3)³sin2x

Step-by-step explanation:

We use the Product Rule:

y= (x²-3)³cos2x

dy/dx =   (x²-3)³ d(cos2x)/dx + cos2x * d ((x²-3)³)/dx

=   (x²-3)³ * -2sin2x + cos2x * 3(x²-3)*2x

= -2sin2x*(x²-3)³ + 6xcos2x*(x²-3)

=  6x(x²-3)cos2x - 2(x²-3)³sin2x

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

For more such questions on square root

https://brainly.com/question/428672

#SPJ8

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

​for such more question on parabola

https://brainly.com/question/9201543

#SPJ8

Answer:

The answer is slope: -32 y-intercept:480

Step-by-step explanation:

I took the test

Answer: slope -32 y-intercept 480

Step-by-step explanation:

Took the k12 test

20 is not a perfect square.

36 = 6 times 6.

49 = 7 times 7.

68 is not a perfect square.

121 = 11 times 11.

400 = 20 times 20.

Hope this helps

Answer:

y = 3x + 7

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = 3x. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-2, 1). Plug in the x and y values into the x and y of the standard equation.

1 = 3(-2) + b

To find b, multiply the slope and the input of x (-2)

1 = -6 + b

Now, add 6 to both sides to isolate b.

7 = b

Plug this into your standard equation.

y = 3x + 7

This equation is parallel to your given equation (y = 3x) and contains point (-2, 1)

Hope this helps!