change .350 to hundredths

Answer:

Step-by-step explanation:

To find the average rate of change from 2 to 6, we can use the formula for the average rate of change, which is given by (y2 - y1) / (x2 - x1). In this case, the function we are working with is g(x) = x² - 1, so we need to plug in the values of x1 and x2 into the function to get the corresponding values of y1 and y2.

a) The average rate of change from 2 to 6 is given by:

(g(6) - g(2)) / (6 - 2)

Plugging in the values of x1 and x2 into the function g(x), we get:

(g(6) - g(2)) / (6 - 2) = (6² - 1 - 2² + 1) / (6 - 2) = (35 - 3) / 4 = 32 / 4 = 8

Therefore, the average rate of change from 2 to 6 is 8.

b) To find an equation of the secant line containing the points (-2, g(-2)) and (6, g(6)), we need to first find the slope of the secant line. The slope of the secant line is given by the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points on the secant line.

In this case, the coordinates of the two points on the secant line are (-2, g(-2)) and (6, g(6)). Plugging these values into the formula for the slope, we get:

m = (g(6) - g(-2)) / (6 - (-2)) = (6² - 1 - (-2)² + 1) / (6 + 2) = (35 + 5) / 8 = 40 / 8 = 5

Now that we know the slope of the secant line, we can use the point-slope form of a line to write the equation of the secant line. The point-slope form of a line is given by the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line, m is the slope of the line, and (x, y) are the coordinates of a generic point on the line.

In this case, we know that the point (-2, g(-2)) is on the secant line, and we know that the slope of the secant line is 5. Plugging these values into the point-slope form of a line, we get:

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

We can then simplify this equation to get:

y - (-2² - 1) = 5(x + 2)

y + 3 = 5x + 10

Finally, we can move all of the terms containing x to one side of the equation and all of the constant terms to the other side of the equation to get the standard form of the equation of the line:

y = 5x + 7

Therefore, an equation of the secant line containing the points (-2, g(-2)) and (6, g(6)) is y = 5x + 7.

The rate of decrease of this function is constant so it is a linear function.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

From the given table we can observe or conclude that the as x coordinate is increasing by 1 unit y coordinate is decreasing by 2 units.

So this is a linear function as the rate of increase or decrease is the same.

The points are (1, 1), (2, - 1), (3, - 3), (4, - 5), (5, - 7), and (6, - 9).

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Since, Z(0)>Z(0.1) that is 3.07>1.28. So reject H(0). So the option 1 and 3 is correct.

In the given question,

H(0): μ=18 ; H(a): μ>18

x = 19.1

Conclude whether to reject or not reject H(0), and interpret the results.

σ = 1.6

α  = 0.1 (significance level) .

The test statistic is

Z(0) = {x-μ(0)}/(σ/√n)

Z(0)= (19.1-18)/16/√20

Z(0) = 3.07

The critical value is Z(0.1) = 1.28.

As we can see that;

Z(0)>Z(0.1) that is

3.07>1.28

So reject H(0).

So the option 1 and 3 is correct.

Reject H(0), the test statistic Z(0)=3.07 is Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

And

The test statistic falls within the rejection region.

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The right question is:

Select two responses below.

Select all that apply:

(1) Reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(2) Fail to reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(3) The test statistic falls within the rejection region.

(4) The test statistics is NOT in the rejection region.

The required length is 16 units in the given rectangle.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle and L is the length of the rectangle

We have been given that the perimeter of a rectangle is 60 and the width is 14

To determine the length of the given rectangle.

P = 2(L+W)

Here P = 60, and W = 14

60 = 2(L + 14)

60/2 = L + 14

30 - 14 = L

L = 16

Thus, the required length is 16 units in the given rectangle.

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The fitted regression equation is :y = 25.228X1 + 0.861X2 + 1283

Given the summary output :

Intercept 1283.000_ 352.000 _ 3.65

X1 _____ 25.228 ____8.63

X2 _____0.861 _____0.372

General form of a multiple regression model:

Y = B1X1+B2X2 +E

The fitted regression equation is :

y = 25.228X1 + 0.861X2 + 1283

Intercept and slope corresponding to the standard error :

Intercept = 352

Slope 1 = 8.61 ; slope 2 = 0.372

'B' coefficient represents the change in the mean response, Y, per unit increase in a version predictor variable when all the other predictors are held constant.

B1 represents the change in the mean response, U, per unit increase in x1 when x2, x3, ..., xk are held constant

B2 represents the change in the mean response, U, per unit increase in x2 when x1, x3, ..., xk are held constant

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The error step in the problem of finding an inverse is Step 4.  

What is an inverse function?

In relation to the original function f, the inverse function is denoted by the symbol [tex]f^{-1}[/tex], and both the original function's domain and its range are transformed into the inverse function's domain and range, respectively.

Given, based on the inverse function

Step 1: y = 6x - 11        (Given equation)

Step 2: x = 6y - 11       (Exchange of variables x and y with each other                 respectively)

Step 3: x + 11 = 6y      (Adding 11 on both sides)

Step 4: x/6 +11 = y      Error step ( because dividing both sides by 6 will give x/6 + 11/6 = y)

Hence, the error step in the problem of finding an inverse is Step 4.  

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The probability that 75% or more of the women in the sample have been on a diet is 0.0371 or 3.71 %.

Here, n = 267, p = 0.7, 1 = 0.3

Mean, [tex]m_p = p[/tex]

⇒ [tex]m_p = 0.7[/tex]

Standard deviation, [tex]\sigma_p = \sqrt(\frac{pq}{n})[/tex]

⇒ [tex]\sigma_p[/tex] = 0.028

The conditions for a sampling distribution to be normal distribution, it must satisfy

1. Randomization condition(SRS)

2. logo condition

3. success/failure condition

Hence, the given sampling distribution in the problem statement is approximately normal distribution.

n×p = 267×0.7 = 186.9 ≥ 10

n×q = 267×0.3 = 80.1 ≥ 10

Norm cdf = (0.75, 999, 0.7, 0.028) ≈ 0.0371 ≈ 3.71%

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Hence, the equation of the line is [tex]y=-4x-22[/tex].

What is the line of equation?

The equation of a line in a two-dimensional coordinate system is an equation including terms containing variables [tex]x[/tex] and [tex]y[/tex] separately with degree [tex]1[/tex].

Here given that,

The equation of the line passing through the point [tex](2,-14)[/tex] and having a slope [tex]-4[/tex].

Using the formula of line of slope

[tex]y=mx+c[/tex]

where [tex]m[/tex] is the slope.

Here,

[tex]m=-4\\x=2\\y=-14[/tex]

So,

[tex]y=mx+c\\-14=-4(2)+c\\\\-14=8+c\\\\c=-14-8\\\\c=-22[/tex]

Hence, the equation of the line is [tex]y=-4x-22[/tex].

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Cylinder's volume = πr^2h = π(5 cm)^2(10 cm) = 785.398 cm^3 and Hemispherical top's volume = 2/3πr^3 = 2/3π(5 cm)^3 = 523.598 cm^3

a) To calculate the volume of the cylinder, we need to use the equation for the volume of a cylinder, which is πr^2h, where π is pi, r is the radius, and h is the height. In this case, the radius is 5 cm and the height is 10 cm, so the equation becomes π(5 cm)^2(10 cm) = 785.398 cm^3.

b) To calculate the volume of the hemispherical top, we need to use the equation for the volume of a hemisphere, which is 2/3πr^3, where π is pi and r is the radius. In this case, the radius is 5 cm, so the equation becomes 2/3π(5 cm)^3 = 523.598 cm^3.

Cylinder's volume = πr^2h = π(5 cm)^2(10 cm) = 785.398 cm^3

Hemispherical top's volume = 2/3πr^3 = 2/3π(5 cm)^3 = 523.598 cm^3

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The mean of their times is x = 80.2 seconds, the same as that of the researcher, after analyzing the given data we conclude that none of the given condition is appropriate.

We can observe that the researcher wishes to put the theories to the test.

H0: = 80.2  = null hypothesis

Ha: > 80.2 = alternative hypothesis.

The population mean is 80.2 and the standard deviation is 4.

He discovered after testing a sample of 1000 students;

The sample size is 1000.

The sample mean is x = 80.2 .

Z value = 0 and p = 1 , hence , the result is not significant .

He can no longer draw any conclusions or provide evidence for this study because there is no population mean for aerobic activity and no significance value in the entire query to compare the p-value with.

As a result, none of the possibilities are correct.

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The distance of the ball away from Amaya at Maximum height is; 18 feet

Given the projectile equation as;

y = -0.02(x - 18)² + 12 to model the horizontal distance of a ball from Amaya's position.

We want to find out how far away is the ball from Amaya when it is at its maximum​ height.

The model takes the form of a parabolic equation and as such, the maximum height is obtained at the Vertex :

The general vertex form of the equation of a parabola is;

y = a(x - h)² + k

With maximum height obtained at the Vertex (h, k)

From the model given, we can say that;

Coordinate at the Vertex : (h, k) = (18, 12)

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Complete question is;

Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y = -0.02(x - 18)² + 12​, where x is the​ ball's horizontal distance in feet from​ Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum​ height?

By dividing the integral of the function over the interval by the length of the interval, the average value of a function can be determined.

The height of the rectangle with an area equal to the area under the curve of the function is the average value of the function or its average height. The equation provides a general definition of it. 1(b−a)∫baf(x)dx.

The average, also known as the arithmetic mean, is calculated by adding a group of numbers and then dividing by their count.

The mean() function in R is used to calculate a vector's mean. The function returns the average as a number after taking a vector as its input.

The general typical equation is numerically communicated as Normal = {Sum of Observations} ÷ {Total number of Observations}.

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The equation of a tangent line to the circle is, [tex]x^{2} +y^{2}[/tex] = 34

Given that,

The equation of a tangent line to the circle with center = (3,6)

The line contains point = (-2,3)

For a circle or curve, the tangent is a line or line segment that touches the circle at one point only. For a circle, the tangent will be perpendicular to a radius drawn to the tangent point.

A tangent to a circle at point P with coordinates is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c

The equation of circle of radius r and center (h , k) is given by

[tex](x-h)^{2}[/tex] + [tex](y-k)^{2}[/tex] = [tex]r^{2}[/tex]         (Equation-1)

And it is given that the center is (3,6) and it passes through (-2,3).

So values of h and k are (3,6) each and values of x and y are 2 and respectively .

Substituting these values in the equation, we will get

(h , k) = (3,6)

We can substitute h , k values in equation-1,

[tex](x-h)^{2}[/tex] + [tex](y-k)^{2}[/tex] = [tex]r^{2}[/tex]  

[tex](x-3)^{2}[/tex] + [tex](y-6)^{2}[/tex] = [tex]r^{2}[/tex]

Then we can substitute x , y values,

So,

We can write,

( x , y ) = (-2 , 3)

[tex](-2-3)^{2}[/tex] + [tex](3-6)^{2}[/tex] = [tex]r^{2}[/tex]

[tex](-5)^{2}[/tex] + [tex](-3)^{2}[/tex] = [tex]r^{2}[/tex]

25 + 9 = [tex]r^{2}[/tex]

34 = [tex]r^{2}[/tex]

Substituting the values of h, k and r, we will get

[tex]x^{2} +y^{2}[/tex] = 34

Therefore,

The equation of a tangent line to the circle is, [tex]x^{2} +y^{2}[/tex] = 34

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The entry to record this payment when the company’s estimated taxes for the first quarter total $50,000 will be:

Debit Income taxes payable $50000

Credit Cash $50000.

A journal is a book in which all of a company's transactions are recorded for the first time. Journaling is the process of recording transactions in a journal. Every transaction has two effects: one is debited and the other is credited.

The act of keeping or making records of any transaction, economic or non-economic, is referred to as a journal entry. An accounting journal, which shows a company's debit and credit balances, records transactions. The journal entry may include multiple recordings, each of which is either a debit or a credit. A journal entry's purpose is to physically or digitally record every business transaction properly and accurately.

The journal entry based on the information is illustrated.

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Answer:

Step-by-step explanation:

By writing it as 3(n-2) - n = 14 you can solve this to get n=10

You essentially let the bigger even consecutive number equal n, and therefore the smaller even number equals n-2. Three times the smaller even equals 3(n-2) and minus the bigger even number gives 3(n-2) - n which we know equals 14.

So 3(n-2) - n = 14

3n - 6 - n = 14

2n - 6 = 14

2n = 20

n = 10

Answer:12.57

Step-by-step explanation:

The given decimal rounded to the nearest hundredth would be 12.57.

Hope this helps!

True statement for Protecting classified data is classified material must be appropriately marked.

Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.

Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.

Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.  

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5.3 ? I think.

The mixed number ver is -5 32/97

Answer:

somone in my class is literaly a new York rat

Step-by-step explanation:

To begin, let's find how much the book is including tax and the student discount.  Once we find this, we can see if Lara or Alex is correct and if they can afford it.

First, we want to compute the student discount. The student discount is 35%. Thus, we can do 0.65 x 28.50 = 18.525. With 10% tax, we have 18.525 x 1.1 = 20.3775. Which will round up to $20.38.

Now, lets see what Alex did and if he got the same answer. First he takes 35% of $28.50 and subtracts it from the normal price.

.35 x 28.50 = 9.975

28.50 - 9.975 = 18.525

Then he takes 10% of this number and adds it back.

.10 x 18.525 = 1.8525

18.525 + 1.8525 = 20.3775

Alex has the correct answer.

Next, we will see if Lara computed it correctly.

First she takes 65% of the normal price.

0.65 x 28.50 = 18.525

Then she computes 110% of the reduced price.

18.525 x 1.10 = 20.3775

Lara also gets the correct answer.

So, do they have enough money to purchase the book?

YES:

$20.38 < $21

Is Alex correct?

YES

Is Lara correct?

YES

Although they used different methods to get the answer, they both got the right one!

If other factors are held constant, which set of sample characteristics is most likely to lead a researcher to reject a null hypothesis stating that µ = 80 then s2 = 18 and C. M = 85

The standard deviation (s2) is a measure of the variability of the sample data, while the mean (M) is a measure of the central tendency. The higher the mean and the higher the standard deviation, the more likely it is that the null hypothesis will be rejected. Therefore, the set of sample characteristics that is most likely to lead to a rejection of the null hypothesis is M = 85 and s2 = 18.

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The coordinates after the reflection of the points will be(7, -3).

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse.

Given that, (-7,3) is reflected across the x-axis, and then the y-axis.

When reflected across x-axis, it will be (-7, -3)

And again when reflected across y-axis it will be (7, -3)

Hence, The coordinates after the reflection of the points will be(7, -3)

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Answer:

853.15766421

Step-by-step explanation:

The square root of 727878 would be 853.15766421.

Answer:

= 853.157664

Step-by-step explanation:

√727878 = 853.157664

...

..

.

Answer:

Step-by-step explanation:

(7, -14)

y - y1 = m(x - x1)

y - (-14) = -6(x - 7) = y + 14 = -6(x - 7)

Standard Form

y + 14 = -6x + 42

y = -6x + 28

Equivalent expression is (x-1)/2x for ((1 -1/x)/2), So Option 1 is correct.

If two expressions can be written similarly or can be combined into a single, simpler phrase, then those two expressions are comparable. Additionally, you can tell if two expressions are equal if you substitute values for the variable in both and they get the same result. The numerator and denominator of equivalent fractions can be written by multiplying or dividing them both by the same value.

This is the rationale for why these fractions simplify to the same number. Equivalent ratios are two ratios that have identical values. Divide or multiply both amounts by the same number to arrive at an equivalent ratio. The method is the same as determining equivalent fractions.

Here expression is ((1 -1/x)/2)

take x as lcm then (x-1)/2x

correct option is (A).

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Correct Question:

Which expression is equivalent to the following complex fraction?

(1-1/x)/2

A) x-1/2x

B) -1/2

C) 2x-2/x

D) 2x/x-1

The fraction of Josh's height which is 2/3 of Josh's current height indicates that the equation that can be used to  find Josh's height and Josh's current height are;

a. (2/3) × h 4 1/2 feet

b. 6 3/4 feet

A fraction of an item is a representation of the whole or entire of the item.

Josh's height two years ago = (2/3) × Josh's height now

Hosh's height two years ago = 4 1/2  feet

a. Josh's current height, = h

An equation is mathematical statement that joins two equivalent expressions with an equal to sign.

(2/3) of Josh's current height is equivalent to Josh's initial height of 4 1/2 feet.

The equation that can be written to solve for h is therefore;

b. h = (4 1/2)/(2/3) = (4 1/2) × 3/2

4 1/2 = 9/2

Therefore;

h = 9/2 × 3/2 = 27/4 = 6 3/4

Josh's current height, h = 6 3/4 feet

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Answer:

[tex]\boxed{0}[/tex]

_________________________________________________________

For degrees, coterminal angle formula is: θ ± 360 * n For radians, coterminal angle formula is: θ ± 2π * n In the above formulas, n refers to a multiple of full rotations, which equals to 360 degrees or 2π.

⇒ θ ± 360

⇒  θ ± 2π

⇒ 0 360 degrees or 2π.

Therefore, your answer is 0

_____________________

Hope this helps!

Please mark me brainless!

To find the base 2 representation of 59, we need to express 59 as a sum of powers of 2.

The powers of 2 are: 1, 2, 4, 8, 16, 32, 64, 128, etc.

The largest power of 2 that is less than or equal to 59 is 32. The next largest power of 2 is 16. The largest power of 2 that is less than or equal to the remaining value (59 - 32 = 27) is 16. The largest power of 2 that is less than or equal to the remaining value (27 - 16 = 11) is 8. The largest power of 2 that is less than or equal to the remaining value (11 - 8 = 3) is 2. The largest power of 2 that is less than or equal to the remaining value (3 - 2 = 1) is 1.

The base 2 representation of 59 is therefore:

32 + 16 + 8 + 2 + 1

which can be written as:

111011

Therefore, the base 2 representation of 59 is 111011.

Answer:

0111011

Step-by-step explanation:

By doing L.C.M of 59 by 2 only

__2__[_59__

__2__{_29__ ----->remainder=1

__2__{__14__ ----->remainder=1

__2__{__7___----->remainder=0

__2__{__3___----->remainder=1

__2__{__1___------>remainder=1

__2__{__0__------->remainder=1

__2__{__0__------->remainder=0

answer: 0111011

The concept of the line with the geometric shapes and the real life examples has been explained

The line is defined as the two dimensional figure that has length, the line do not has width. So we can says that line is the formed by using the set of points together in the straight line. There are different types of lines like straight line, curved line

Using the lines we can form different types of geometric shapes like triangle, rectangle etc. The triangle can be formed by using three straight lines and the rectangle can be formed by using four straight line

The real life example of the lines are, the pen and pencil represents the straight line

Therefore, the concept of straight line has been explained

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The four types of probability sampling methods are

1. Simple random sampling

2. Stratified sampling

3. Systematic sampling

4. Cluster sampling

Probability sampling is a sampling method that involves randomly selecting a sample, or a part of the population that you want to research.

1. Simple Random Sampling: Simple random sampling gathers a random selection from the entire population, where each unit has an equal chance of selection. This is the most common way to select a random sample.

2. Stratified Sampling: Stratified sampling collects a random selection of a sample from within certain strata, or subgroups within the population. Each subgroup is separated from the others on the basis of a common characteristic.

3. Systematic Sampling: Systematic sampling draws a random sample from the target population by selecting units at regular intervals starting from a random point. This method is useful in situations where records of target population already exist.

4. Cluster Sampling: Cluster sampling is the process of dividing the target population into groups, called clusters. A randomly selected subsection of these groups then forms the sample. It usually involves existing groups that are similar to each other in some way

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