Find the critical t-value that corresponds to 90% confidence. Assume 16 degrees of freedom. (Round to three decimal places as needed.)

Since mXOY = mWOV, we can form the following equations so, m--XZ = m--ZV.

An equation is a mathematical statement that states the equality of two expressions. It usually consists of two terms, with an equals sign between them, representing the relationship between the terms. Equations are often used to describe relationships between variables, such as in physics and chemistry, and can be used to calculate unknown values.

Proof:

Since mXOY = mWOV, we can form the following equations:

m--YZ = m--ZW (Given)

Subtract both sides of the equation by m to get:

YZ = ZW

Then, multiply both sides of the equation by X to get:

XZ = XW

Now, substitute Y for V and W for V in the equation to get:

XZ = ZV

Finally, subtract both sides of the equation by m to get:

m--XZ = m--ZV

Therefore, m--XZ = m--ZV.

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Therefore , the solution of the given problem of inequality comes out to be Gary and Jamal are the students who created an inequality that holds true for all values in the collection "0, 1, 3, 4, 6, 12".

Algebra does not have an equal symbol, but a partner or group of integers can be used to represent the difference. Equilibrium is typically followed by equity. Inequality comes from the continued divergence of ideals. Disparity and expression fairness are not identical. Despite the fact that the parts are typically not connected or close to one another, that was our most popular symbol. (). Any difference, no matter how small, can be used to determine worth.

Here,

We can test each inequality with each value in the set, 0 through 1, 3, 4, 6, and 12, to identify which inequality holds true for all values.

6 > 0.5t, where t is a member of the collection, is Gary's inequality. When we compare each value in the collection to this inequality, we discover:

When t = 6: 6 > 0.5(6) is true

When t = 12: 6 > 0.5(12) is true

Therefore, for each value in the collection, Gary's inequality holds true.

30 - t  18 is Nancy's inequality, where t is a number from the collection. When we compare each value in the collection to this inequality, we discover:

When t = 6: 30 - 6 ≤ 18 is true

When t = 12: 30 - 12 ≤ 18 is true

Therefore, not all values in the collection satisfy Nancy's inequality.

Gary and Jamal are the students who created an inequality that holds true for all values in the collection "0, 1, 3, 4, 6, 12".

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A dependent variable that maintains constant measurements throughout an experiment will be depicted by a straight, horizontal line in a graph.

In an experiment, the dependent variable is the variable being measured, and it is expected to change in response to changes in the independent variable. However, if the dependent variable remains constant throughout the experiment, it indicates that it is not affected by the independent variable.

When such a situation arises, the data points for the dependent variable will be located at the same level or value, resulting in a horizontal line in the graph.

This straight, horizontal line represents the constant measurements of the dependent variable, and it can provide valuable insights into the nature of the relationship between the independent variable and the dependent variable.

A dependent variable that maintains constant measurements throughout an experiment may indicate a flaw in the experimental design, such as an incorrect assumption about the nature of the relationship between the independent variable and the dependent variable, or an uncontrolled confounding variable.

Therefore, it is important to carefully analyze the data and the experimental design to identify and address any potential issues.


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The closest value to the standard deviation of the 100 times is (C) 20 seconds.

To determine the closest value to the standard deviation of the 100 times, we would need the actual histogram or the data points themselves.

In general, the standard deviation measures the spread or dispersion of a set of values. A higher standard deviation indicates a greater dispersion, while a lower standard deviation indicates a smaller dispersion.

Looking at the given options, (A) 2.5 seconds and (B) 10 seconds are relatively small values, which suggests a low dispersion among the times. On the other hand, options (D) 50 seconds and (E) 90 seconds are larger values, indicating a higher dispersion.

Option (C) 20 seconds falls in between the smaller and larger values. While it is difficult to determine the exact standard deviation without the data, option (C) of 20 seconds seems like a reasonable choice as it represents a moderate spread among the 100 times.

Therefore, the closest value to the standard deviation of the 100 times is (C) 20 seconds.

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An access control list (ACL) specifies which subjects and objects users or groups can access.

An Access Control List (ACL) is a term used to describe a security mechanism that regulates who has access to an object in a computing system. An Access Control List (ACL) is a type of file that contains the names of people or groups of individuals who are allowed or denied access to a system resource.

ACLs are one of the most widely used security measures in computer networks today, and they are used to establish access control policies for network resources such as files, folders, devices, or services. This list is compiled on the basis of the requirements and policies of the security team in place.
The access control list (ACL) is a security feature that allows administrators to define and manage the permissions and rights for different users or groups to access specific resources, such as files, directories, or applications. Implementing an ACL helps to ensure proper security and privacy in a system or network.

The access control list (ACL) is correct in the blanks.

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13.4 square inches of plastic wrap will be needed to completely cover an ice cream cone that has a slant height of 4.25 inches and a diameter of 2 inches.

To completely cover an ice cream cone that has the slant height of 4.25 inches and a diameter of 2 inches, a plastic wrap of about 13.4 square inches will be needed.

How to calculate the amount of plastic wrap required to cover the ice cream cone?

To calculate the amount of plastic wrap required to cover the ice cream cone, we need to find the lateral area of the cone. This can be calculated using the following formula:

Lateral area of cone = πrℓ

where r is the radius of the base of the cone, ℓ is the slant height, and π is the constant pi, which is approximately equal to 3.14.

In this problem, the diameter of the cone is given as 2 inches, which means the radius of the cone will be half of that, i.e., 1 inch. And the slant height is given as 4.25 inches. Therefore, we can calculate the lateral area of the cone as follows: Lateral area of cone = πrℓ = π × 1 × 4.25= 13.4 square inches.

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Answer:

(5^3)^(-2)

Step-by-step explanation:

5^2 × 5^-8 = 5^-6

(5^3)^(-2) = 5^-6

The given functions in GeoGebra and determine by analytically checking:

a. function type is [tex]f(x) =\frac{2x^2-4}{x^2-4}[/tex]

b. Domain and range Range (-2, +2).

c. Asymptotes is HA = 2 and VA = ±2

The function y = f( x) is classified into different types of functions, grounded on factors similar as the sphere and range of a function, and the function expression. The functions have a sphere x value that's appertained as input. The sphere value can be a number, angle, numeric, bit.

[tex]f(x) =\frac{2x^2-4}{x^2-4}[/tex]

Functions in mathematics can be compared to the operations of a dealing (soda pop) machine. When you put in a certain quantum of plutocrat, you can elect different types of tonics. also, for functions, we input different figures and we get new figures as the result. sphere and range are the main aspects of functions.

[tex]f(x) =\frac{2x^2-4}{x^2-4}[/tex]

x² = 4

x = ± 2

Range (-2, +2).

An asymptote is a line being approached by a wind but noway touching the wind. i.e., an asymptote is a line to which the graph of a function converges. We generally don't need to draw asymptotes while graphing functions. But graphing them using dotted lines( imaginary lines) makes us take care of the wind not touching the asymptote. Hence, the asymptotes are just imaginary lines.

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Complete question:

Represent the given functions in GeoGebra and determine by analytically checking: a. function type b. Domain and range c. Asymptotes, both vertical and horizontal, if it has them:

The system of linear inequalities to model the number of hours that you could work at each location in a week is:

x ≥ 4

x + y ≤ 15

What is system of linear inequality?

A system of linear inequalities is a set of two or more linear inequalities with the same variables. It describes a region in the coordinate plane that satisfies all of the inequalities in the system.

In this case, we are trying to model the number of hours that someone could work at two different jobs.

The first inequality given is that the person must work at least 4 hours per week at the trampoline park. Let x be the number of hours worked at the trampoline park. This can be represented as:

x ≥ 4

The second inequality given is that the total number of hours worked at both jobs cannot be greater than 15. Let y be the number of hours worked at the landscaping company. Then, the total number of hours worked can be represented as:

x + y ≤ 15

Together, these two inequalities form a system of linear inequalities that model the possible number of hours that the person can work at each job in a given week.

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The recursive formula that represents the given sequence is:

(B) an = -44aₙ₋₁ - 2

Any term of a series can be defined by its preceding term in a recursive formula (s).

For instance: An arithmetic series has the recursive formula a = an-1 + d.

An = An-1r is the recursive formula for a geometric sequence.

Because each phrase, an, goes back to the preceding term, an1, the formula an=2an1+3 is recursive.

According to this equation, any term we want is equal to two times the previous term plus three.

This sequence's first three terms are 4, 11, and 25.

So, we have the sequence:

-44, -46,-48, ...

Now, we have d that is:

= -48 - (-46)

= -48 + 46

= -2

The 1st term would be: a1 = -44

Then, the correct formula would be: an = -44aₙ₋₁ - 2

Therefore, the recursive formula that represents the given sequence is:

(B) an = -44aₙ₋₁ - 2

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The steps to find the depth through which the storm submerges the lowest parts of the Pensacola Beach is given below.

As it has been given in the question, Pensacola beach is located 5-10 feet above sea level.

The ocean water rises upto 5.5 feet during a storm

Hence you need to add up the height of the highest tide on 16 September to 5.5 feet.

If the combined height of the highest tide and the storm tide is greater than 10 feet, then the whole Pensacola beach submerges.

You just subtract the combined height of the storm and the highest tide from the height of the beach.

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Portions of Pensacola Beach, a coastal community built on a barrier island, are located at 3 - 10 feet above sea level.

Hurricane Sally, which struck Pensacola on September 16, 2020 and brought a 5.5 foot storm.

Combined with a high tide on September 16,202, by how many feet did that storm surge submerge the lowest parts of Pensacola Beach? (Hint: use the information in question and change the date on the tidal chart to September 16, 2020) Now, compare your answers above, and think about how the type (pattern) and size of the tides differ for these two locations

Answer:

27 cubic units

Step-by-step explanation:

Since each small cube is a unit cube, then each small cube has side length 1 unit. Each side of the Rubik's cube has length 3 units.

V = s³ = 3³ = 27

Answer: 27 cubic units

Brenna is buying 15 tomato plants for her garden, because she uses a lot of cherry tomatoes when she cooks. The inequality models the this story is equals to c< 7. So, correct option is option (b). The graph for inequlity to model the story is present in above figure.

Inequality refers a relationship between two values that are not equal, i.e., a<b. We have, brenna bought 15 tomato plants for her garden. At a time of cooking , she used a lot of cherry tomatoes. So, she wants a variety of tomato plants. She has decided to buy fewer than 7 cherry tomato plants for garden. Let c be the number of cherry tomato plants bought by brenna. Now, as we know cherry tomato plants come into the tomato plants, so c< 15 . Also, she plans to buy cherry plants less than 7, so c < 7. That is we have to choices for inequlity, c < 15 or c< 7. But we know if a number is less than 7 then trivially, it is less than 15 ( 7< 15), so we use the c< 7, Inequality to model the story. The graph of this inequlity that models the story is present above in figure. Hence, required inequalty is c< 7.

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Complete question:

Brenna is buying 15 tomato plants for her garden. she uses a lot of cherry tomatoes when she cooks, but she wants a variety of tomato plants. brenna plans to buy fewer than 7 cherry tomato plants. let c represent the number of cherry tomato plants brenna might buy. which inequality models the story?

a) c> 7

b) c< 7

c) c>15

d) c<15

See the above Graph and find out the inequality that models the story. To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Answer:

The density of the wood is 0.6 g/cm^3

Step-by-step explanation:

The density of an object can be calculated by dividing the mass of the object by its volume. In this case, the mass of the block of wood is 120g and its volume is 200cm^3.

Density = mass / volume

Density = 120g / 200cm^3

Density = 0.6 g/cm^3

Therefore, the density of the wood is 0.6 g/cm^3.

We can see here that the figures that have the same area are: A. Figures I and II.

Area is a measure of the size of a two-dimensional surface or shape. It refers to the amount of space inside the boundaries of a flat object, such as a rectangle, triangle, or circle. Area is typically measured in square units, such as square meters, square feet, or square centimeters.

The area of Figure I which is a rectangle is = l × b = 2cm × 5.8cm = 11.6cm².

The area of Figure II which is a parallelogram is = b × h = 4cm × 2.9cm = 11.6cm².

Thus, Figures I and II have the same area.

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Cinderella would weigh either 187 or 153 pounds this morning.

Unit cοnversiοn is the prοcess οf cοnverting a quantity expressed in οne unit οf measurement tο anοther equivalent quantity expressed in a different unit οf measurement. It invοlves using cοnversiοn factοrs that relate the twο units οf measurement. This is dοne by multiplying οr dividing the οriginal quantity by a cοnversiοn factοr, which is a ratiο οf the twο units οf measurement that is equal tο οne.

Cinderella's weight increased or decreased by 10%, we can find her weight this morning by multiplying her previous weight by 1.10 (to find a 10% increase) or 0.90 (to find a 10% decrease).

For a 10% increase, Cinderella's weight this morning would be:

170 x 1.10 = 187 pounds

For a 10% decrease, Cinderella's weight this morning would be:

170 x 0.90 = 153 pounds

So depending on whether her weight increased or decreased by 10%, Cinderella would weigh either 187 or 153 pounds this morning.

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The zeroes of the factored polynomial as required to be determined in the task content are: x = -6 and x = 8.

It follows from the task content that the zeroes of the completely factorised polynomial are to be determined.

Since the given polynomial is; x² - 2x - 48 which has been factorised completely to; (x + 6) (x - 8).

Ultimately, the zeroes of the Polynomial are as follows;

x + 6 = 0; x = -6.

and

x - 8 = 0; x = 8.

Conclusively, the zeroes of the polynomial are; x = -6 and x = 8.

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Answer:

There is a [tex]\frac{1}{24}[/tex] chance that Sara will be picked.

There is a 4.16% chance that Sara will be picked.

Step-by-step explanation:

there are 12 boys + 12 girls in Mooney's class => 24 total students

Sara is ONE out of those students

Sara is [tex]\frac{1}{24}[/tex].

[tex]\frac{1}{24}[/tex] as a percent is 4.16%.

Step-by-step explanation:

2 pictures are attached

sin waves are used in many medical devices like to measure heart beats

Answer:

The term 2x+4y-2 is a binomial equation.

Step-by-step explanation:

Factoring said equation: 2(x+2y-1)

x intercepts: (1,0)

y intercepts: (0, 1/2)

Answer:

Step-by-step explanation:

In this expression, the number 3 represents the initial group of friends to whom Carol told the joke.

The base number 4 represents the number of people each friend told the joke to on the following day.

The exponent x represents the number of days that have passed since Carol first told the joke, and as a result, the number of "generations" of people who have heard the joke.

Therefore, 4 raised to the power of x represents the total number of people who have heard the joke after x days, including Carol's initial group of friends and all subsequent generations of people who have been told the joke by those who heard it before.

Finally, multiplying 3 and 4 raised to the power of x gives the total number of unique people who have heard the joke after x days, since the initial group of friends is not included in the later generations.

Answer:

To find out how much more expensive it is, per pound, to buy chicken thighs at Store B than at Store A, we need to compare the cost per pound at each store.

At SuperGrocery B, we know that 3 pounds of chicken thighs cost $34.80, so the cost per pound is:

$34.80 / 3 pounds = $11.60 per pound

At SuperGrocery A, we can use the information in the table to find the cost per pound for each amount of chicken thighs:

For 1.5 pounds of chicken thighs:

$13.52 / 1.5 pounds = $9.01 per pound

For 3 pounds of chicken thighs:

$27.03 / 3 pounds = $9.01 per pound

For 3.5 pounds of chicken thighs:

$31.54 / 3.5 pounds = $9.01 per pound

For 4.5 pounds of chicken thighs:

$40.55 / 4.5 pounds = $9.01 per pound

So the cost per pound of chicken thighs at SuperGrocery A is $9.01 per pound, which is less expensive than the cost per pound at SuperGrocery B, which is $11.60 per pound.

To find the difference between the two prices, we can subtract the cost per pound at SuperGrocery A from the cost per pound at SuperGrocery B:

$11.60 per pound - $9.01 per pound = $2.59 per pound

Therefore, it is $2.59 more expensive, per pound, to buy chicken thighs at SuperGrocery B than at SuperGrocery A.

Answer:

75°

Step-by-step explanation:

The angle in the given figure is 90°.

x + 15 = 90

x = 90 - 15

x = 75°

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x - 2 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

• Parallel lines have equal slopes , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 4, - 1 ) into the partial equation

- 1 = - [tex]\frac{1}{2}[/tex] (- 4) + c = 2 + c ( subtract 2 from both sides )

- 3 = c

y = - [tex]\frac{1}{2}[/tex] x - 3 ← equation of parallel line

If a ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls, the probability of drawing a red ball from the jar is approximately 0.47 or 47%.

The probability of a red ball being drawn from the jar can be calculated as follows:

Total number of balls in the jar = 8 red + 3 white + 6 yellow = 17

Probability of drawing a red ball = (Number of red balls in the jar) / (Total number of balls in the jar) = 8/17 ≈ 0.47

This means that if we were to draw a ball from the jar randomly, there is a 47% chance that the ball we draw will be red.

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Complete question is:

A ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls. find the probability of the given event.

What is what is the probability of a Red ball being drawn?

Between 4 and 4.5

sqrt(20)

Between 4.5 and 5

sqrt(22)

sqrt(23.1)

Between 5 and 5.5

sqrt(30)

sqrt(25.9)

sqrt(27.3)

Between 5.5 and 6

sqrt(31)

sqrt(34.9)

The rate of decrease of the side of the cube with a side of 6 cm is 0.25 cm per second.

The rate of decrease of the side of an ice cube can be calculated by considering the volume of the cube. The volume of the cube is decreasing at a rate of 1.5 cm3 per second. Therefore, the rate of decrease of the side of the cube is proportional to the cube's volume.

To calculate the rate of decrease of the side of the cube, we need to use the formula for the volume of a cube, which is: V = s3, where V is the volume and s is the side of the cube.

Since we know that the volume of the cube is decreasing at a rate of 1.5 cm3 per second, we can calculate the rate of decrease of the side of the cube by substituting the value of the rate of decrease of the volume and the current side of the cube (6 cm) into the formula.

Therefore, the rate of decrease of the side of the cube is equal to 1.5 cm3 per second divided by 6 cm3, which is equal to 0.25 cm per second.

In conclusion, the rate of decrease of the side of the cube with a side of 6 cm is 0.25 cm per second.

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Answer: 22

Step-by-step explanation:

Substitude 1 for i and 19 for H.

19+1(3) = 19+3 = 22