. How can you determine if two ratios are equivalent. Be sure to include examples to support you response.

-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5

Answer:

-4.5

Step-by-step explanation:

\(\sqrt{30}\) is approximately 5.47722557505.  You can find this number with a calculator.

-10 + 5.47722557505 = -4.52277442495

To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value.  Absolute value just means thinking of both numbers as positive numbers.

Helping in the name of Jesus.

Given the equation :

5x + 4y = 20

the graph of the equation is a line, to draw the line we need two points

We will graph the equation using the intercepts of the line

X-intercept is the value of x when y = 0

Y-intercept is the value of y when x = 0

so, the intercepts are:

so, the line is passing through the points ( 0, 5 ) and ( 4, 0 )

The graph of the line is as shown in the following picture:

The correct statement is E, "The type of error that could have been made is not possible to determine without knowing the statement of the null hypothesis."

Hypothesis testing is a statistical method used to determine the validity of a claim or assumption about a population based on a sample of data.

Type I error, also known as false positive, occurs when the null hypothesis is rejected when it is actually true. This is equivalent to stating that an event has occurred when it has not.

Mathematically, the probability of a Type I error is represented by alpha (α) and is set by the researcher before conducting the test. The smaller the alpha, the less likely a Type I error will occur.

Type II error, also known as false negative, occurs when the null hypothesis is not rejected when it is actually false. This is equivalent to stating that an event has not occurred when it has.

Mathematically, the probability of a Type II error is represented by beta (β) and is dependent on the sample size, the strength of the evidence against the null hypothesis, and the alpha level.

When the results of a hypothesis test indicate that there is not enough evidence to reject the null hypothesis, it means that either the null hypothesis is true or a Type II error has occurred.

However, without knowing the statement of the null hypothesis, it is not possible to determine the type of error that could have been made.

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The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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Answer: 57 ft²

Step-by-step explanation:

Find the areas of the two individual rectangles and then add that up to find the area of the figure:

Rectangle A:                                                             Rectangle B:

= Length * Width                                                       = 11.5 * 3

= 7.5 * 3                                                                     = 34.5ft²

= 22.5 ft²

Area of figure:

= 22.5 + 34.5

= 57 ft²

Answer:

I am 99.9% sure it is 57 square feet.

If I am wrong sorry!

Step-by-step explanation:

Have a good rest of your day or night and good luck on your test!

<3 <3 <3

The function g from the indicated transformation of the graph of f is g(x) = 4 - |x  - 2|

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The equation of the function f is given as :

F(x) = 4-|x+1|

Shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

So the function g(x) is 3 units to the right of the function f(x)

⇒ g(x) = f(x - 3)

So, F(x - 3) = 4 - |x - 3+ 1|

Evaluate both equations,

⇒ F(x - 3) = 4 - |x  - 2|

⇒ g(x) = 4 - |x  - 2|

Hence, the function g from the indicated transformation of the graph of f is g(x) = 4 - |x - 2|

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Answer:

9

Step-by-step explanation:

4 * 2 + 3 - 2 =

= 8 + 1 =

= 9

Answer:

4 in(a)

Step-by-step explanation:

height-?

volume-314

radius-5

pie-22÷7 or 3.14

volume= πrsquared h

314=3.14×5×5×h

314= 78.5h

314÷78.5

= 4 in

Answer:

17.03

Step-by-step explanation:

basically you're dividing the ammount of beads it takes to fill a necklace (91) and the ammount of beads Kambo has all together (1,550)

1,550 / 91 = 17.03

Answer:

See below ~

Step-by-step explanation:

Given :

⇒ m∠1 = m∠2

⇒ HD = GF

=============================================================

To Prove :

Δ EHD ≅ Δ EGF

============================================================

Solving :

⇒ m∠1 = m∠2 (Given)

⇒ HD = GF (Given)

⇒ ∠E = ∠E (Common angle)

⇒ ΔEHD ≅ ΔEGF (AAS congruence)

Answer:

Suppose that LilyMac Photography has annual sales of $233,000, cost of goods sold of $168,000, average inventories of $4,800, average accounts receivable of $25,600, and an average accounts payable balance of $7,300.

Assuming that all of LilyMac’s sales are on credit, what will be the firm’s cash cycle? (Use 365 days a year. Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(-3,5) and (2,3). That's the answer. Plug this number and it would be fine

a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

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By solving in a system of linear equations, the balance of the investment account 4 years ago is equal to $ 4708.

Herein we have a word problem, where the statement itself represents a linear equation, where we know the current balance and the difference between the current balance and the balance seen four years ago. Mathematically speaking, we have the following linear equation:

y = x + 308        (1)

y = 4708            (2)

Where:

Then, the solution of the system of linear equations is equal to (x, y) = (4408, 4708).

By solving in a system of linear equations, the balance of the investment account 4 years ago is equal to $ 4708.

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The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

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Answer:

\({ \tt{6x + 5 = - 29}} \\ { \tt{6x = - 36}} \\ { \tt{x = - 6}}\)

Answer:

908.07

Step-by-step explanation:

We know there is nine hundered and eight so lets put that.

908.

Then we know that there are seven hundredths, one number to the right of a decimal is a tenth, so lets go one more to the right. We put seven to the right of the tenth decimal place. Now we have:

908.07

Answer:

w or x

Step-by-step explanation:

the square root of 40 is 6.3

Answer:

x = 5. y = 4

Step-by-step explanation:

7x - 4 = 31

7x = 35

x = 5

4y + 8 = 24

4y = 16

y = 4

Answer:10

Step-by-step explanation:

Solving a system of equations we can see that each pound of trail mix costs $3.50, and each pound of jelly beans costs $1.50

Let's define the variables:

Then we can write a system of equations so we will get:

5x + 3y = 22

2x + 12y = 25

To solve this, we can subtract 4 times the first equation fom the second one:

2x + 12y - 4(5x + 3y) = 25 - 4*22

2x + 12y - 20x - 12y = -63

-18x = -63

x = -63/-18

x = 3.5

That is the cost of each pound of trail mix, and replacing that in one of the equations:

2*3.5 + 12y = 25

y = (25 - 2*3.5)/12

y = 1.5

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Answer:

10.5

Step-by-step explanation:

common denominator for 7z and 3z is 21z

4/7z = 12/21z

2/3z = 14/21z

12/21z + 14/21z = 13

26/21z = 13

cross-multiply to get:

26z = 273

z = 273/26

z = 10.5

Answer:

z = 10.5

Step-by-step explanation:

(4/7)z + (2/3)z = 13

multiply by 21 to eliminate the fractions

12z + 14z = 273

26z = 273

Divide both sides by 26

z = 10.5

Answer:

x=3

Step-by-step explanation:

x-5+11=x

2x=-5+11

2x=6

x=3

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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