Evaluate.
418!
2!7!
plzzzz helpppp

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Answer:

0.8192

Step-by-step explanation:

The pattern is dividing by 2.5 each time since:

200/80=2.5

80/32=2.5

So now:

1st term: 200

2nd term: 200/2.5=80

3rd term: 80/2.5=32

4th term: 32/2.5=12.8

5th term: 12.8/2.5=5.12

6th term: 5.12/2.5=2.048

7th term: 2.048/2.5=0.8192

Answer:

c≥47

Step-by-step explanation:

120+20=140

140/3≈46.667

46.667≈47

Ther can be no less than 47 cupcakes

Answer:

No solution.

Step-by-step explanation:

So we have the system of equations:

\(x=5-2y\\4y=15-2x\)

We can solve this by substitution. Substitute the first equation into the second. Thus:

\(4y=15-2(5-2y)\)

Distribute the right:

\(4y=15-10+4y\)

Subtract 4y from both sides:

\(0=15-10\)

Subtract the right:

\(0=5\)

As you can see, this statement is not true. In other words, the system of equations have no solution (likely because the lines are parallel).

And we're done!

Answer:

B) 3x-6y

Step-by-step explanation:

2x+x=3x

5y+y=6y

3x-6y

Answer:

A) 3x - 4y

(2x - 5y) + (x + y)

=> 2x - 5y + x + y

=> 2x + x - 5y + y ------(arranging the like terms together)

=> 3x - 4y

T-test is commonly used to examine whether two groups are significantly different from each other or not.

A t-test is an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related. T-tests are used when the data sets follow a normal distribution and have unknown variances, like the data set recorded from flipping a coin 100 times.

It is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.

T-test is used to determine whether two groups are different or not.

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The T-test is commonly used to examine whether two groups are significantly different from each other or not.

A T-test is used to determine if two groups are different.

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u = [2, -2]. The orthogonal complement W⊥ of W is the set of all vectors orthogonal to W. In this case, a basis for W⊥ is {[2, -2]}.

Rewrite the equation in standard form for vectors

The given equation is 2x - y = 0. We can rewrite it as y = 2x

Find a vector in W
We can choose any value of x and compute the corresponding y value to find a vector in W. Let x = 1, then y = 2(1) = 2.

So, one such vector in W is v = [1, 2].

Find a vector orthogonal to v

To find a vector orthogonal to v, we need to find a vector u = [a, b] such that the dot product of v and u is zero (v • u =

0). So, [1, 2] • [a, b] = 0. This translates to 1a + 2b = 0.

Find a basis for W⊥

Solve the equation 1a + 2b = 0 for a and b. We can set a = 2 and solve for b: 2(2) + 2b = 0, which gives b = -2.

Therefore, u = [2, -2].
The orthogonal complement W⊥ of W is the set of all vectors orthogonal to W. In this case, a basis for W⊥ is {[2, -2]}.

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Because the sample statistic centers around a different value than the population parameter, the sample mean absolute deviation is a biased estimator of the population mean absolute deviation.

Reason Behind a Biased Estimator

The expected value (average) of all the sample absolute deviations must match the population absolute deviation in order for the absolute deviation to function as an unbiased estimator. It does not, however, which makes the values of sample mean absolute deviation behave as a  biased estimator.

Brief Description of Sample Mean Absolute Deviation

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.

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Answer:1=157 2=23 3=157 4=23 5=157 6=23 7=157 8=23

Step-by-step explanation:

theyre congruent

We can be 95% confident that the true mean concentration of THMs in your drinking water lies within the range [2.9584 ppb, 3.0416 ppb]. This was calculated using a confidence interval formula for the mean.

The confidence interval for the mean concentration of THMs can be calculated using the formula x ± z * (s/√n), where x is the sample mean, z is the z-score for a given confidence level, s is the sample standard deviation and n is the sample size.

In this case, we have x = 3 ppb, s = 0.3 ppb, and n = 200. To calculate the confidence interval at a certain confidence level (e.g. 95%), we need to find the corresponding z-score. For a 95% confidence level, the z-score is approximately 1.96.

Substituting these values into the formula above gives us:

3 ± 1.96 * (0.3/√200) = [2.9584, 3.0416]

So we can be 95% confident that the true mean concentration of THMs in your drinking water lies within the range [2.9584 ppb, 3.0416 ppb].

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The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

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The time it takes for Mrs. Jardine to bake more cookies compared to Mrs. How is of 6 hours.

The linear functions in this problem are defined in the slope-intercept format, as follows:

y = mx + b.

In which:

Miss Hoy can bake two dozen cookies every four hours. Mrs. Jardine can bake one dozen cookies every one hour, then the slopes are given as follows:

Assuming Mrs. Hoy gets a 36 cookie head start, the functions are given as follows:

Mrs. Jardine will have baked more cookies when:

12x > 6x + 36

6x > 36

x > 36/6

x > 6 hours.

Hence after 6 hours.

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The answer is x = 11/36

lt is 100% right

Therefore, upgrading the new version of the package requires installation of 18 new files.

A quadratic equation is a type of polynomial equation in one variable (usually denoted by "x") where the highest exponent of the variable is 2. The general form of a quadratic equation is:

\(ax^2 + bx + c = 0\)

where a, b, and c are constants (numbers) and a is not equal to zero.

The solutions to a quadratic equation can be found by using the quadratic formula:

\(x = (-b ±\sqrt(b^2-4ac))/2a\)

by the question.

a) Let X be the time it takes to install the entire package. We know that X follows a normal distribution with mean μ = 1568 = 1020 seconds and variance σ^2 = 1168 = 748. We want to find the probability that X is less than 720 seconds (12 minutes).

Using the standard normal distribution, we can standardize X as follows:

\(Z = (X - μ) / σ = (720 - 1020) /\sqrt(748) = -4.05\)

Using a standard normal table or a calculator, we find that the probability of Z being less than -4.05 is approximately 3.3x10^-5. Therefore, the probability of upgrading the entire package in less than 12 minutes is approximately 3.3x10^-5.

(b) Let Y be the time it takes to install n files. We want to find the value of n such that upgrading takes less than 10 minutes with 95% probability.

We know that Y follows a normal distribution with mean μ = 15n and variance σ^2 = 11n. We want to find the value of n such that P(Y < 600) = 0.95.

Using the standard normal distribution and standardizing Y, we have:

\(Z = (Y - μ) / σ = (600 - 15n) /\sqrt(11n)\)

We want to find the value of n such that P (Z < z) = 0.95, where z is the z-score that corresponds to the 95th percentile. From a standard normal table or a calculator, we find that z ≈ 1.645. Therefore, we have:

(600 - 15n) / sqrt(11n) = 1.645

Squaring both sides and rearranging, we get:

\(11n^2 - 196n + 3600 = 0\)

Solving this quadratic equation, we get two solutions: n ≈ 17.17 and n ≈ 31.44. Since we want a positive integer value for n, the only valid solution is n = 18.

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The percentage of adults who have an IQ score between 92 and 112 points using the z score is 33.59%.

Given that,

Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points.

μ = 100 and σ = 10

We have, z score, z = (x - μ) / σ

For x = 92,

z = (92 - 100) / 10 = -0.8

For x = 112,

z = (112 - 100) / 10 = 0.12

Percent corresponds to the left of z = -0.8 is 0.2119.

Percent corresponds to the left of z = 0.12 is 0.5478.

Required percent = 0.5478 - 0.2119 = 0.3359 = 33.59%

Hence the required percentage is 33.59%.

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The required value of w in the given expression is 1, as per the given conditions.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
The question seems to be incomplete, assume that the given expression 8w + 5 = 13
So

8w + 5 = 13
simplify

8w = 13 - 5
w = 8 / 8
w = 1

Thus, the required value of w in the given expression is 1, as per the given conditions.

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Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer:

0.86 United States Dollar

Step-by-step explanation:

The time Pam got home is 5:25 pm.

Remember that 60 minutes is equivalent to 1 hour. When adding minutes together, when the minutes exceeds 60, convert to an hour.

In order to determine the time she got home, add the time she used to watch the movie , to the time she used to ride her bike home to the time the movie started.

2:53 + 1:52 + 46 = 5:25 pm

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The solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are respectively:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

we shall write the equations as:

7x - 4y = -12...(1)

x - 2y = 4...(2)

multiply equation (2) by 7 to get equation (3)

7x - 14y = 28...(3)

subtract equation (1) from (3) to eliminate x

7x - 14y - 7x + 4y = 28 + 12

-10y = 40

divide through by -10

y = -4

put the value -4 for y in equation (2) to get y

x - 2(-4) = 4

x + 8= 4

x = -4

x - y = 4...(1)

2x + y = 5...(2)

Add equations (1) and (2) to eliminate y

2x + y + x - y = 5 + 4

3x = 9

divide through by 3

x = 3

put the value 3 for x in equation (1) to get y

3 - y = 4

y = -1

4x - 3y = 17...(1)

2x - 5y = 5...(2)

multiply equation (2) by 2 to get equation (3)

4x - 10y = 10...(3)

subtract equation (3) from (1) to eliminate x

4x - 3y - 4x - 10y = 17 - 10

7y = 7

divide through by 7

y = 1

put the value 1 for y in equation (2) to get y

2x - 5(1) = 5

2x - 5 = 5

x = 5

5x + 6y = -6...(1)

7x - 3y = -54...(2)

multiply equation (1) by 7 to get equation (3) and equation (2) by 5 to get equation (4)

35x + 42y = -42...(3)

35x - 15y = -270...(4)

subtract equation (4) from (3) to eliminate x

35x + 42y - 35x + 15y = -42 + 270

57y = 228

divide through by 57

y = 4

put the value for y in equation (1) to get x

5x - 6(4) = -6

5x + 24 = -6

x = -6

Therefore, the solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

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Answer:

3

Step-by-step explanation:

Factors of 15:   1, 3, 5, 15

Factors of 6x:  1, 2, 3, 6, x

Therefore, the greatest common factor (the highest factor that they both share) is 3

Factor = f

——————

f15 = 1, 3, 5, 15

f6 = 1, 2, 3, 6, x

So the answer is 1 and 3, but we need to give the answer from the highest number. The highest number is 3.

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Explanation:

The blue rectangle has area of 4a^2*6a^2 = 24a^4

The red rectangle has area 4a^2*9a = 36a^3

The green rectangle has area 4a^2*3 = 12a^2

The total area is 24a^4 + 36a^3 + 12a^2

Therefore, the following attributes of pentagon ABCDE and pentagon A'B'C'D'E' are the same: The shape of the pentagon (i.e., the relative positions of the vertices), The side lengths of the pentagon, The interior angles of the pentagon and The perimeter of the pentagon

What is polygon?

A polygon is a two-dimensional geometric shape that is made up of straight lines connecting a sequence of points, which are called vertices.

Reflecting a polygon over the line y=x means interchanging the x and y coordinates of all its vertices. Thus, if ABCDE is reflected over y=x, it becomes A'B'C'D'E' where A' is the image of A after reflection over y=x, B' is the image of B after reflection over y=x, and so on.

Rotating a polygon counterclockwise about the origin by 270 degrees means replacing each vertex (x,y) by (-y,x). Therefore, if A'B'C'D'E' is rotated 270 counterclockwise about the origin, it becomes A''B''C''D''E'' where A'' is the image of A' after rotation, B'' is the image of B' after rotation, and so on.

Since reflecting a polygon over a line and then rotating it by a multiple of 90 degrees about the origin are both rigid transformations, they preserve the shape and size of the polygon. Therefore, the following attributes of pentagon ABCDE and pentagon A'B'C'D'E' are the same:

The shape of the pentagon (i.e., the relative positions of the vertices)

The side lengths of the pentagon

The interior angles of the pentagon

The perimeter of the pentagon

The area of the pentagon

The distance between any two corresponding vertices of the two pentagons.

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Answer:

The transformed points of the triangle ABC are \(A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)\), \(B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)\), \(C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)\)

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

\(A' (x,y) = \frac{1}{2}\cdot (1,1)\)

\(A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)\)

\(B' (x,y) = \frac{1}{2}\cdot (9,1)\)

\(B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)\)

\(C'(x,y) = \frac{1}{2}\cdot (1,9)\)

\(C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)\)

Answer:

Q14    x = 3

Q15    No unique solution

Step-by-step explanation:

Q14

The value of x where the line crosses the x axis is the solution for x

Here we see the line crosses the x axis at x = 3 so solution is x =3

Mathematically,

2x - 3 = 3

2x = 3 + 3  adding 3 to both sides

2x = 6

x = 6/2 = 3

Q15

This is a horizontal line which crosses the y-axis at y = 1

Since this does not cross the x axis but is parallel to it, there is no unique solution for x

Mathematically,
-4x + 2 = -4x + 1

Adding 4x to both sides we get the absurdity that 2 = 1 and that indicates no unique solution for x. Alternatively we can say that x has an infinite number of solutions

Answer:

it is A and C.

hope this helps

Answer:

Domain: (-3,1]

Range:  [-4,0]

x-intercepts: -3, 0

y-intercepts: 0

Answer:

R =  [-4,0]       X = -3, 0     Y = 0

Step-by-step explanation:

We already know the domain.

Range : [-4,0]   Since the line doesn't go beyond 0.

x-intercept : -3, 0

y-intercept : 0

Answer:

?

Step-by-step explanation:

Answer:

35 x^4  - 5x^3

Step-by-step explanation:

5x^3 (7x−1)

Distribute

5x^3 (7x) +5x^3 *(−1)

35 x^3 *x - 5x^3

35 x^4  - 5x^3

Answer:

Answer:

35 x^4  - 5x^3

Step-by-step explanation:

5x^3 (7x−1)

Distribute

5x^3 (7x) +5x^3 *(−1)

35 x^3 *x - 5x^3

35 x^4  - 5x^3

Step-by-step explanation:

Answer:

angles ECF and BCF

Step-by-step explanation: