While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price of $5. If the sales tax in Kingwood is 8.5%, what was the total cost of the bunch of balloons? $

Answer:

-8x+5

Step-by-step explanation:

txt if you need a explanation

Answer:

64%

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Replace q with 7 .

\(7 + ( - 7) = 0\)

\( \sf \: q + ( - 7) \\ \sf \: q = 7 \\ \\ \sf \: q + ( - 7) \\ \sf= 7 + ( - 7) \\ \sf= 7 - 7 \\ \sf= \boxed{\bf \: 0}\)

Hope it helps.

RainbowSalt2222

Answer:

7, 11, 14 feet from shortest to longest

Step-by-step explanation:

Let's say that the shortest pipe is equal to x, and work from there.

The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x

The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.

The three pieces added up make up the 32 feet pipe, so we can write this as

(2*x) + (4+x) + x = 32

2*x + 4 + x + x = 32

4 * x + 4 = 32

subtract 4 from both sides to isolate the x and its coefficient

4 * x = 28

divide both sides by 4 to isolate the x

x= 7

Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long

The respective names of the point of concurrency is:

1. Circumcenter

2. Incenter.

3. Centroid

4. Orthocenter

Point of concurrency:

The point of concurrency is a point where three or more lines or rays intersect with each other.

Circumcenter:

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

Incenter:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

Centroid:

The point where three medians of the triangle meet is known as the centroid.

Orthocenter:

The point where three altitudes of the triangle meet is known as the orthocenter.

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Answer:

the circumstance would be 21.99

the area is 38.48

Step-by-step explanation:

radius is half the diameter so your radius is 3.5

The area of a circle is pi times the radius squared (A = π r²) which for you would be A = 3.14 × 3.5²

circumference is found by multiplying 2 times pi times the radius (C = 2πr) which for you would be C = 2 × 3.14 × 3.5

Answer:

The answer is  6.88.

Step-by-step explanation:

The mean absolute deviation for the given data will be equal to 6.9.

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.

The formula used to calculate MAD is given below:-

MAD = 1/n ∑ |xi-m|

The given data set is 32, 43, 38, 28, and, 51. First, calculate the mean of the given data.

Mean = ( 32 + 43 + 38 + 28 + 51 ) / 5

Mean = 192 / 5 = 38.4

The MAD will be calculated as below:-

MAD = ( 1 / 5) [ | ( 32 - 38.5 ) | + | ( 43 - 38.5 ) | + | ( 38 - 38.5 ) | + | ( 28 - 38.5 ) + | ( 51 - 38. 5 ) | ]

MAD = ( 6.5 + 4.5 + 0.5 + 10.5 + 12.5 + ) / 5

MAD = 6.9

Therefore, the mean absolute deviation for the given data will be equal to 6.9.

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a) P(x) is given by -0.4x² + 58x - 14.

b) R(80) is 2240, C(80) is 174, and P(80) is 2066.

The difference quotient for f(x) = 8x³ is 24x² + 24hx + 8h².

Here, we have,

a) To find P(x), we need to subtract C(x) from R(x):

P(x) = R(x) - C(x)

Given R(x) = 60x - 0.4x² and C(x) = 2x + 14, we can substitute these values into the equation:

P(x) = (60x - 0.4x²) - (2x + 14)

= 60x - 0.4x² - 2x - 14

= -0.4x² + 58x - 14

Therefore, P(x) is given by -0.4x² + 58x - 14.

b) To find R(80), C(80), and P(80), we substitute x = 80 into the respective functions:

R(80) = 60(80) - 0.4(80)²

= 4800 - 0.4(6400)

= 4800 - 2560

= 2240

C(80) = 2(80) + 14

= 160 + 14

= 174

P(80) = R(80) - C(80)

= 2240 - 174

= 2066

Therefore, R(80) is 2240, C(80) is 174, and P(80) is 2066.

For f(x) = 8x³, let's construct and simplify the difference quotient (f(x + h) - f(x))/h:

f(x + h) - f(x) = 8(x + h)³ - 8x³

= 8(x³ + 3hx² + 3h²x + h³) - 8x³

= 8x³ + 24hx² + 24h²x + 8h³ - 8x³

= 24hx² + 24h²x + 8h³

Now, divide this expression by h:

(f(x + h) - f(x))/h = (24hx² + 24h²x + 8h³)/h

= 24x² + 24hx + 8h²

Therefore, the difference quotient for f(x) = 8x³ is 24x² + 24hx + 8h².

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By taking the difference between the y-intercepts, we conclude that the distance between the lines is 3 units.

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two linear equations are parallel if and only if both lines have the same slope and different y-intercepts.

And the distance is given by the difference between the y-intercepts.

Here the lines are:

y = -3*x + 1

y = -3*x + 4

The difference between the y-intercepts gives:

4 - 1 = 3

That is the distance between the lines.

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Answer:

1,8,27,64,125

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The correct order from greatest to least is:

2.4*√(3π), 221/30, 7.3636..., 7 + 1/3

So the correct option is the last one.

The numbers on the sets are:

7 + 1/3

221/30

7.3636...

2.4*√(3π)

We can write all of these as decimals (estimating them) in the following way:

7 + 1/3 = 7 + 0.33 = 7.33

221/30 = 7.366...

7.3636...

2.4*√(3π) = 7.3679

Then the correct order, from greatest to least, is:

2.4*√(3π), 221/30, 7.3636..., 7 + 1/3

So you have the correct option selected.

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Answer:

x-intercept = 4

y-intercept = -1

As ordered pairs they would be ( 4, 0) and ( 0, -1)

Step-by-step explanation:

The line goes through 4 on the x line and goes through -1 on the y line.

As an ordered pair you just put the numbers in their x and y spots being ( x, y )

With 4 being on the X and -1 being on the Y it would make them ( 4, 0) and

( 0, -1).

Answer:

1.33

Step-by-step explanation:

Answer:

So I am honestly not sure what THEY though when they did this.

Step-by-step explanation:

So when you look at this, we see that:

3x+3y=10

2x+3y=20

Lets just compare these two.

There is only two differences

There is 1 less x, or -1x in the bottom equation.

The number value is 10 more, or +10, in the bottom equation.

This must mean that -x=10

Or

x=-10

This is my way of doing it, their way of doing this is:

Combining the two equations 3x+3y=10 and 2x+3y=20

lets work through this their way and find our mistake.

So combining them we get:

5x-6y=30

Oh...

Well, I see their mistake, do you?

This is our equation:

5x+6y=30

Their equation:

5x=30

The difference is that they though they needed to subtract 3 y from 3y, canceling the two y variables out. When really, you need to combine the two y values.

So this is our REASONING.

Now, you cannot solve it this way further, since you have two variables.

However, using the method above, we were able to find that x=-10

Hope this helps! :)

Answer:

Given:

mu = 200 lb, the mean sigma = 25 the standard deviation

For the random variable x = 250 lb, the

z-score is z = (x - mu) / sigma = (250 - 200) / 25 = 2

From standard tables for the normal distribution, obtain

P(x < 250) = 0.977

Answer: 0.977

In statistics, a post-hoc test is a follow-up statistical test that is performed after obtaining a significant result in an ANOVA or a similar test. A post-hoc test is warranted when the F is significant and we have more than two groups.

Post-hoc tests are used to determine which specific groups are significantly different from each other, and to identify the direction of those differences.

In the given options, option A is correct. A post-hoc test is warranted when the F is significant and we have more than two groups. This is because the ANOVA only tells us whether there are differences among the groups, but it does not tell us which specific groups are different from each other. In order to determine the differences between the groups, we need to perform a post-hoc test.

Option B is incorrect. If we fail to reject the null hypothesis in an ANOVA, then there is no need for a post-hoc test, because we have not found any significant differences among the groups.

Option C is also incorrect. If we reject the null hypothesis in an independent-groups t test, then we have already found significant differences between two groups, and there is no need for a post-hoc test.

Option D is also incorrect. An a priori prediction is made before the experiment is conducted, and it is used to determine which statistical test to use. A post-hoc test, on the other hand, is used after the experiment is conducted and a significant result is obtained.

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Answer:

x=-5

Step-by-step explanation:

The answer is x = -5. The explanation and answer is in the image below.

Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=4x.

y=4x+4

Step-by-step explanation:

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 74 inches

The statement

The length of a rectangle is 2 inches less than twice it’s width is written as

l = 2w - 2

Substitute this expression into the perimeter formula and solve for the width

That's

74 = 2(2w - 2) + 2w

74 = 4w - 4 + 2w

6w = 78

Divide both sides by 6

w = 13

Substitute this value into l = 2w - 2

l = 2(13) - 2

l = 26 - 2

l = 24

Therefore we have

length = 24 inches

width = 13 inches

Hope this helps you

Answer:

3/4

Step-by-step explanation:

m= 2,5 / 0-(4) simplify (-3,-4) and then divide two negative values to make it positive 3/4

The system of equations has an infinite number of solutions. The correct answer would be an option (D).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of equations is given in the question, as follows:

-5.9x - 3.7y = -2.1     .....(i)

5.9x + 3.7y =  2.1     .....(ii)

As we know that when a solution set of infinite points exists, a system of linear equations has an infinite number of solutions.

Here the system of equations has an infinite number of solutions because both equations are identical.

Hence, the correct answer would be an option (D).

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Answer:

28.3 (explaination below)! :)

Step-by-step explanation:

Use the formula for cicrumfrence: C=2πr

Radius can be found by splitting the given number in half, (unless you were given the radius already, then you'd just multiply by 2).

Plug in our numbers. C= 2π4.5

Then, multiply.

You'd get 28.27433388230814.

Rounding to the first decimal place, you'd have a final answer of  28.3.

Hope this helps!

Answer:

\(x^{2} - 14 = 50\)

Step-by-step explanation:

Let x = Unknown number

Number squared = \(x^{2}\)

Difference between the number squared and 14 is 50:

= \(x^{2} - 14 = 50\)

= \(x^{2} = 14 + 50\)

= \(x^{2} = 64\)

(NOTE: It cannot be \(14 - x^{2} = 50\) since:

\(x^{2} = 14 - 50\) which would mean \(x^{2} = -36\) and a square of a number CANNOT be a negative number)

Taking the square root of both sides to get rid of the square:

= \(x = \sqrt{64}\)

= x = ±8

The least-squares solution of the linear system AX = b, x1 = -1.2 and x2 = 0.8.

To solve for the least-squares solution of the linear system AX = b, we need to use the formula X = VΣ^(-1)U^Tb.

First, we need to calculate the inverse of Σ by taking the reciprocal of the non-zero diagonal elements and setting the zero diagonal elements to zero. So,

Σ^(-1) = [1/5 0]

[0 1/5]

Next, we calculate U^Tb by multiplying U^T and b:

U^Tb = [-3]

[ 1]

[-4]

[ 3]

Now, we can calculate X:

X = VΣ^(-1)U^Tb

= [ 0.8 0.6][1/5 0][-3]

[-0.6 0.8][0 1/5][ 1]

[0 0 ][-4]

[0 0 ][ 3]

= [-1.2]

[ 0.8]

[ 1.6]

[ 0.6]

Therefore, the least-squares solution are x1 = -1.2 and x2 = 0.8.

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The table of values which represent the equation y = 7x - 3 is: table D.

In Mathematics, an ordered pair can be defined as a pair of two (2) elements or points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

In order to determine the true ordered pair that is a solution for the given linear equation, we would have to test the ordered pair contained in each table by substituting it into the linear equation as follows;

For ordered pair (-2, -1), we have:

y = 7x - 3

-1 = 7(-2) - 3

-1 = -14 - 3

-1 = -17 (False).

For ordered pair (-2, -19), we have:

y = 7x - 3

-19 = 7(-2) - 3

-19 = -14 - 3

-19 = -17 (False).

For ordered pair (-2, -15), we have:

y = 7x - 3

-15 = 7(-2) - 3

-15 = -14 - 3

-15 = -17 (False).

For ordered pair (-2, -17), we have:

y = 7x - 3

-17 = 7(-2) - 3

-17 = -14 - 3

-17 = -17 (True).

In this context, we can logically deduce that all of the coordinates in table D represents the equation y = 7x - 3.

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Answer:

see below

Step-by-step explanation:

Because the area of the square is 36 its side is 6 meaning the circle has a diameter of 6. This means that its radius is 3 so its area is 3² * π = 9π.

To compare the means of two distinct groups where one group receives a manipulation and the other serves as the control group, you will run an Independent Samples t-test. This statistical test is used to determine if there is a significant difference between the means of two independent groups on a given measure.

Here's a step-by-step explanation:

1. Define your null hypothesis (H0) and alternative hypothesis (H1). The null hypothesis usually states that there is no significant difference between the means, while the alternative hypothesis states that there is a significant difference.

2. Determine the level of significance (alpha) for the test, typically set at 0.05 or 0.01.

3. Collect data from both groups and calculate their respective means and standard deviations.

4. Calculate the t-value using the formula:
t = (M1 - M2) / sqrt((SD1^2 / n1) + (SD2^2 / n2))
where M1 and M2 are the means, SD1 and SD2 are the standard deviations, and n1 and n2 are the sample sizes of the two groups.

5. Determine the degrees of freedom (df) for the test using the formula:
df = n1 + n2 - 2

6. Use the t-value and degrees of freedom to find the corresponding p-value in a t-distribution table or by using statistical software.

7. Compare the p-value to the predetermined level of significance (alpha). If the p-value is less than or equal to the alpha, you can reject the null hypothesis and conclude that there is a significant difference between the means of the two groups.

In summary, to compare the means of two distinct groups with different manipulations, you should perform an Independent Samples t-test. This test helps you determine whether the observed differences between the groups are statistically significant or due to random chance.

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