3/4 + ( 1/3 / 1/6 ) - (- 1/2)
Please hurryyyyyy thank you

As a result, the following regression model best fits the data: y ≈ 3.38x + 9.37 rounded to the closest hundredths.

The link between a dependent variable and one or more independent variables can be modeled statistically using linear regression. The dependent variable can be treated as a linear function of the independent factors since this sort of regression analysis presupposes a linear relationship between the variables. Finding the line of best fit that minimizes the gap between the observed data points and the anticipated values of the dependent variable is the objective of linear regression. The equation y = mx + b, in which y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept, is represented by the line of best fit, which is a straight line.

given

Using a graphing calculator, we may display the data points and identify the line of best fit in order to determine the regression model that best matches the data.

We obtain the following scatter plot by entering the data into a graphing calculator:

We can observe from the scatter plot that the data seems to have an approximately linear trend. We may utilize the calculator's linear regression tool to determine the line of best fit.

We obtain the following equation by applying a linear regression on the data:

y = 3.38x + 9.37

The regression equation is as follows, rounded to the closest hundredths:

y ≈ 3.38x + 9.37

As a result, the following regression model best fits the data: y ≈ 3.38x + 9.37 rounded to the closest hundredths.

To know more about linear regression visit:

https://brainly.com/question/29665935

#SPJ1

The complete question is:-  Use a graphing calculator to graph the data and to find a regression model that best fits the data. Round values to the nearest hundredths.

Answer:

c and d are monomial because they have only one term

The maximum distance is the diameter of the circle, which is of 44 units.

The equation of a circle of radius r and center \((x_0,y_0)\) is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

In this problem, the circular path is modeled by:

\(x^2 + y^2 - 10x - 18y - 378 = 0\)

We complete the squares to place it in the standard format, thus:

\(x^2 - 10x + y^2 - 18y = 378\)

\((x - 5)^2 + (y - 9)^2 = 378 + 25 + 81\)

\((x - 5)^2 + (y - 9)^2 = 484\)

Thus, the radius is:

\(r^2 = 484 \rightarrow r = \sqrt{484} = 22\)

Then, the diameter is:

\(d = 2r = 2(22) = 44\)

The maximum distance is the diameter of the circle, which is of 44 units.

A similar problem is given at https://brainly.com/question/24992361

Step-by-step explanation:

Given the equation y = 2 * 4^x, with x = 2:

y = 2 * 4^2

First, calculate 4^2:

4^2 = 16

Next, multiply by 2:

y = 2 * 16

Finally, compute y:

y = 32

Therefore, y is equal to 32 when x is equal to 2, for the given equation y = 2 * 4^x.

Answer:

y = 32

Step-by-step explanation:

y = 2 x \(4^{x}\)                                            x = 2

y = 2 x \(4^{2}\)

y = 2 x 16

y = 32

Answer:

your answer is FG , FG is parallel

Answer:

5 should be subtracted  from each term

Step-by-step explanation:

\(\frac{11-x}{8-x}=\frac{2}{1}\)

Cross multiply,

1 * (11 - x) = 2*(8-x)

11 -x = 2*8 - 2*x

11 - x = 16 - 2x

Subtract 11 from both sides,

-x = 16 - 2x - 11

-x = 5 - 2x

Add 2x to both sides

-x +2x = 5 - 2 + 2x

x = 5

Answer:

If I read it right I believe it's C.

Step-by-step explanation:

To be able to determine which among the expression contains exactly two terms, let's count how many terms each expression has.

A.) -5 +6x +3y²

The expression has the terms: -5, 6x and 3y²

Therefore, the total number of terms is 3.

B.) 4x

The expression has the terms: 4x

Therefore, the total number of terms is 1.

C.) 7-9x

The expression has the terms: 7 and -9x

Therefore, the total number of terms is 2.

D.) (x + 2)(y - 4)

Let's first expand the expression,

The expression has the terms: xy, -4x, 2y and -8

Therefore, the total number of terms is 4.

E.) 8x² + 5x

The expression has the terms: 8x² and 5x

Therefore, the total number of terms is 2.

Conclusion: Only the expression at C and E contains exactly two terms.

Therefore, the answer is C and E.

Answer:

\(\sqrt{2000}\phantom{a}yards\)

Step-by-step explanation:

For a right triangle, \(a^{2} =b^{2} +c^{2}\), if a is the hypotenuse. So, \(60^{2} =40^{2} +c^{2}\), and c is the the distance we are trying to find:

\(60^{2} =40^{2} +c^{2}\)

\(3600=1600+c^{2}\)

\(c^{2} =2000\)

\(c=\sqrt{2000}\phantom{a} yards\)

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

Learn more about cube;

brainly.com/question/15420947

#SPJ4

Answer:

Step-by-step explanation:

Sum of those 4 integers is:

If the smallest ones are 1, 2 and 3, then the greatest possible integer is:

The probability that a voltage surge will not damage the television when two surge protectors are arranged in series is 0.99 × 0.99 = 0.9801.

When two surge protectors are arranged in series, the probability that a voltage surge will not damage the television is the product of the probabilities that each individual surge protector will not fail. In this case, the probability that a surge protector will not fail is 0.99 (or 99%). Therefore, the probability that a voltage surge will not damage the television is 0.99 × 0.99 = 0.9801. This means that there is a 98.01% chance that the television will not be damaged by a voltage surge when two surge protectors are arranged in series.

Learn more about surge protector here:

brainly.com/question/5583415

#SPJ11

We can conclude that the likelihood of selecting at least one male when three people are selected at random is 0.9969.

There are 4 females and 9 males in a group of 13 individuals. Three people are selected at random. We must determine the likelihood of (a) at least one male being chosen and (b) no more than two males being chosen.

Both of these probabilities can be calculated using the following formula:

P(x) = number of favorable outcomes / total number of possible outcomes.

The total number of possible outcomes for picking three people from 13 people is:

13C3 = 13! / (3! * (13-3)!)

= 13! / (3! * 10!)
= (13 * 12 * 11) / (3 * 2 * 1)

= 1,287

We have a lot of cases to consider for (a) and (b), so we'll do them one at a time.

(a) At least one is male

The number of possible outcomes when at least one of the three people chosen is male can be calculated by subtracting the number of outcomes when all three people are females from the total number of outcomes.

There are 4 females in the group of 13 individuals, so the number of ways to choose three females is:

4C3 = 4! / (3! * (4-3)!)

= 4

There are 9 males in the group of 13 individuals, so the number of ways to choose three males is:

9C3 = 9! / (3! * (9-3)!)

= 9! / (3! * 6!)

= (9 * 8 * 7) / (3 * 2 * 1)

= 84

Therefore, the probability of at least one male being chosen is:

P(at least one male) = (number of outcomes when at least one of the three people chosen is male) / (total number of possible outcomes)

= (1,287 - 4) / 1,287

= 1 - 4 / 1,287

= 1 - 0.0031

= 0.9969

We can conclude that the likelihood of selecting at least one male when three people are selected at random is 0.9969.

To know more about random visit:

https://brainly.com/question/30789758

#SPJ11

Answer:

\(h=\frac{1}{3} \pi r^{2} v\)

Step-by-step explanation:

height is equal to one third times pi times radius squared times volume

The expression of the volume of the cone in terms of height H will be as H = 3V/(πR²).

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given volume of the cone,

V=(1/3)πR²H

Manipulate the above formula as,

[V (3/1)]/(πR²) = H

H = 3V/(πR²)

Hence "The expression of the volume of the cone in terms of height H will be as H = 3V/(πR²)".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ5

Part A: The probability of hitting the black circle inside the square-shaped target is closer to 0.

Part B: The probability of hitting the white portion of the target is closer to 1.

In a square-shaped target, the black circle is a smaller area compared to the entire target. Assuming Brenda's dart can hit any point on the target with equal likelihood, the chances of hitting the black circle are relatively low compared to hitting the rest of the target. Therefore, the probability of hitting the black circle is closer to 0.

On the other hand, the white portion of the target includes the entire area outside the black circle. Since the white portion covers a larger area, the chances of hitting it are significantly higher. Thus, the probability of hitting the white portion is closer to 1.

Therefore , the probability of hitting the black circle inside the square-shaped target is closer to 0.  And the probability of hitting the white portion of the target is closer to 1.

To learn more about probability click here: brainly.com/question/32117953

#SPJ11

Answer:

The last picture shows that is a function because the x numbers don't repeat.

Answer: I wish I can help you, But I can't

Step-by-step explanation: lll

Answer:

The numbers are 8 and 12.

Step-by-step explanation:

The numbers are x and x + 4.

3x = 2(x+4)

3x = 2x + 8

x = 8

Answer:

division

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

set the two equations equal to each other then solve for n

6n + 3 = 4n + 11

2n = 8

n = 4

plug n in for both equations

6(4) + 3

24 + 3 = 27

4(4) + 11

16 + 11 = 27

27 + 27 = 54

the distance is 54

Using the normal distribution, the probabilities are given as follows:

a. Between 8 and 12 cases with side effects: 0.582 = 58.2%.

b. More than 16 cases with side effects: 0.0174 = 1.74%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is given by the equation presented below:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for the binomial distribution in this problem are given as follows:

p = 0.05, n = 200.

Hence the mean and the standard deviation of the approximation are given as follows:

For item a, using continuity correction, the probability of between 8 and 12 cases with side effects is the p-value of Z when X = 12.5 subtracted by the p-value of Z when X = 7.5, hence:

X = 12.5:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (12.5 - 10)/3.08

Z = 0.81

Z = 0.81 has a p-value of 0.7910

X = 7.5:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (7.5 - 10)/3.08

Z = -0.81

Z = -0.81 has a p-value of 0.2090.

0.7910 - 0.2090 = 0.582 probability.

For item b, the probability of finding more than 16 cases with side effects is one subtracted by the p-value of Z when X = 16.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (16.5 - 10)/3.08

Z = 2.11

Z = 2.11 has a probability of 0.9826.

1 - 0.9826 = 0.0174 = 1.74% probability.

A similar problem, also given about the normal distribution, is given at https://brainly.com/question/4079902

#SPJ1

Answer:

its 10.08

Step-by-step explanation:

Answer:

- \(\frac{1}{2}\)

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [ - 8, 2 ] , thus

f(b) = f(2) = - 4 ← read from graph

f(a) = f(- 8) = 1 ← read from graph, thus

average rate of change = \(\frac{-4-1}{2-(-8)}\) = \(\frac{-5}{10}\) = - \(\frac{1}{2}\)

Answer:

0.15x

Step-by-step explanation:

Hello!

We know that Jason has 65 t-shirts. 65 is 100% of 65, or 65 t-shirts will be 100% of the shirts he has. Confused? Think of it this way:

Let x = the number of shirts Jason has (65)

100% of x = 1x or x

15% off of x = subtracting 15%x or 0.15x

The equation that will help find the number of t-shirts to give away is 0.15x.

Since we know that x is 65, we can substitute that in.

The equation is 0.15(65)

We can simplify this to get 9.75 so he would sell 9 t-shirts.

The sample proportion of the business travelers who use a laptop computer on overnight trips is 0.6417.

Given:

a survey that found that 351 of 547 business travelers use a laptop computer on overnight business trips.

we are asked to find the sample proportion based on this survey, who use a laptop computer on overnight business trips = ?

sample proportion:

The sample proportion (p) indicates the percentage of people in a sample who exhibit a particular quality or attribute. Divide the number of individuals (or items) who have the desired attribute by the overall sample size to obtain the sample proportion.

P = X/N

P = 351/547

P = 0.641681

round off to four decimal places.

P = 0.6417

Hence we get the sample proportion as 0.6417

Learn more about Sample Proportion here:

brainly.com/question/15712887

#SPJ4

Answer:

A

Step-by-step explanation:

correct on edge

Answer:

A) [-1,1]

Step-by-step explanation:

The function of y=cos⁻¹(x) has a domain of [-1,1] and a range of [0,π]. Observe the graph.

Answer:

D. 2√2

Step-by-step explanation:

In a 45° 45° 90° triangle, the hypotenuse is the leg length multiplied by √2. So divide by √2 to find x.

x = 4/√2 = 2√2

Answer:

4x+10

Step-by-step explanation: