ASAP definition for unit rate

According to probability, if both families want to sit together, they can be seated in a row a maximum of two times.

The direction that each person is facing is crucial when arranging the people.

In order to determine how many ways they can be seated in a row if both families want to sit together, imagine that two families with four members each attend a movie theatre.

Given that the arrangement is important, we will apply the permutation rule. We'll divide the remaining four into two groups of four each.

There are two different ways to arrange the groups so they can sit together.

2! = 2 * 1

2! = 2ways

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Answer:

15 percent change

Step-by-step explanation:

1) 500 - 425 = 75

2) 75 / 500 = 0.15

3) 0.15 * 100= 15

The value of the product is 1/4

To determine the value of the product, we need to take note that fractions are described as the part of a whole number, element, or variable.

In mathematics, there are different types of fractions, namely;

From the information given, we have that;

1/4 × 25/25

Now, multiply the numerators

25/4(25)

Multiply the denominators

25/100

Divide the values

1/4

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The total number of fish caught during the festival can be calculated by adding the number of fish caught for each value of n.

For example, if 10 contestants caught 4 fish, 5 caught 8 fish, 7 caught 10 fish, and 8 caught 7 fish, the total number of fish caught would be 104 + 58 + 710 + 87 = 330.

The argument states that the total number of fish caught during the Frostbite Falls Fishing Festival can be determined by adding the number of fish caught by each contestant.

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Answer:

\(\huge\boxed{ f^{-1}(x) = \sqrt[3]{-x-9}}\)

Step-by-step explanation:

\(f(x) = -x^3-9\)

Put f(x) = y

\(y = -x^3-9\)

Interchange x and y

\(x = -y^3-9\)

Solve for y

\(x = -y^3-9\)

Add 9 to both sides

\(-y^3 = x+9\)

Divide both sides by -1

\(y^3 = -x-9\)

Take cube root to both sides

\(y = \sqrt[3]{-x-9}\)

Put \(y = f^{-1}(x)\)

\(\boxed{f^{-1}(x) = \sqrt[3]{-x-9}}\)

\(\rule[225]{225}{2}\)

Hope this helped!

The inverse function of the given function is  \(f^{-1} (x)\)=∛-x-9.

The given function is f(x)=-x³-9.

To find the inverse of a function, write the function y as a function of x i.e. y = f(x) and then solve for x as a function of y.

Now, replace f(x)=y.

y=-x³-9

Interchange the variables.

That is, x=-y³-9

Solve for y.

That is, y³=-x-9

⇒y=∛-x-9

Solve for y and replace with \(f^{-1} (x)\).

\(f^{-1} (x)\)=∛-x-9.

Therefore, the inverse function of the given function is  \(f^{-1} (x)\)=∛-x-9.

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Answer:

75%

Step-by-step explanation:

We are given that Sara bought a chest for $42, and then sold it for $73.50.

Recall that when finding by how much something was marked up, you should use the following formula:

(new price-original price)/(original price)

Let's substitute the values, like so:

\(\frac{73.50-42}{42}=\\\\ \frac{31.50}{42}\)

Now, set up a proportion to find what this fraction is as a percentage:

\(\frac{31.5}{42} =\frac{x}{100} =\\42x=3150=\\x=75\)

So, the price was marked up by 75%.

Answer:

None of the given points satisfy the inequality 2x - 3y < 1.

Step-by-step explanation:

To determine which points satisfy the inequality 2x - 3y < 1, we can substitute the coordinates of each point into the inequality and check if the inequality holds true.

Let's consider the given points:

Point A: (1, 0)

2(1) - 3(0) < 1

2 - 0 < 1

2 < 1 (False)

Point B: (-1, -1)

2(-1) - 3(-1) < 1

-2 + 3 < 1

1 < 1 (False)

Point C: (3, -2)

2(3) - 3(-2) < 1

6 + 6 < 1

12 < 1 (False)

None of the given points satisfy the inequality 2x - 3y < 1.

Therefore, none of the points A, B, or C satisfy the inequality.

Three people get into an empty elevator at the first floor of a building that has floors. Therefore the probability that the buttons for consecutive floors are pressed is 1/2 x 1 = 1/2 or 0.5.

To simplify the problem we can see that there are three persons and all of them have their desired floors. Each one of them has pressed the button for their floor.

We can construct a number line to represent the floors. Let us suppose that the number line represents the floors of a 10 story building.

Number line: ... 7 8 9 10 [first person] [second person] [third person]

Let us see the scenario where the buttons for consecutive floors are pressed. Let the first person press the button for the 3rd floor. Then the second person could press the button for either the 2nd floor or the 4th floor.

We can only have the buttons for consecutive floors pressed if the second person presses the button for the 2nd floor

The probability of this happening. There are only 2 possibilities for the second person to press the button:

Press the button for the 2nd floor.

Press the button for the 4th floor.

Both of these possibilities are equally likely.

Therefore the probability that the second person will press the button for the 2nd floor is 1/2.The third person has only one choice. They can only press the button for the 4th floor.

Therefore the probability that the buttons for consecutive floors are pressed is 1/2 x 1 = 1/2 or 0.5.

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The carrot ate by Fluffy the bunny at the night will be equal to 2/4 or 1/2.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Carrot ate by bunny in the morning = 1/4

Then, carrot left after ate by bunny = 1- 1/4 = 3/4

Assume that the amount of carrot ate at the night be x.

Then, the carrot left = 1/4

So, the equation will be,

3/4 - x = 1/4

x = 3/4 - 1/4

x = 2/4 or,

x = 1/2.

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Answer:

Step-by-step explanation:

Slope formula= rise over run, or y2-y1 over x2-x1

y2=-4 y1=-18 x2=-7 x1=-7

-4-(-18)/-7-(7)

-22/-14 negative

Answer:

7/11

Step-by-step explanation:

the slope is positive. tell me what happens

According one-way ANOVA, the test is false.

In the given question,

When comparing three or more populations means within a set of quantitative data that is categorized according to one​ factor/treatment, a​ one-way ANOVA is appropriate. It is also appropriate in this​ situation, however, to compare two means at a time using multiple independent two sample​ t-tests. We have to check whether this is true or​ false.

We firstly learn about one-way ANOVA

"One-Way ANOVA, also known as "analysis of variance," examines the means of two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."

According to the given method it is inappropriate to compare two means at a time using multiple independent two sample​ t-tests. It will create multiple testing problem and error.

So using one way ANOVA test when comparing three or more populations means within a set of quantitative data that is categorized according to one​ factor/treatment and compare two means at a time using multiple independent two sample​ t-tests is false.

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Using proportions, it is found that Nyle hiked 25 feet per minute.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The proportion that we want to find in this problem is the number of miles hiked per minute. We have that he hiked 250 feet in 10 minutes, as the negative corresponds only to the direction, hence:

v = 250/10 = 25.

Hence Nyle hiked 25 feet per minute.

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the coefficient of 8 · 2N is 16.

Answer:

#3

Step-by-step explanation:

bc

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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Answer:

x=12. B=52

Step-by-step explanation:

In ∆BCD,

<C=45

<D=7x-1

<B=3x+16[as this diagram is a parellelogram so DE II BC so <CBD=<BDE=3x+16 bcz alternate interior angle]

interior angle of triangle=180 degree

<B+<C+<D=180

3x+16 + 45 + 7x-1 = 180

10x + 60=180

10x =180-60

x=120/10

x=12 degree

m<B =3x+16

=3(12)+16

=36+16

m<B = 52 degree

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE IT TOOK TOO MUCH TIME

The probability of A appearing before B is \(\frac{4}{7}\).

To find the probability that TA < TB, we can use the fact that the probability of a certain pattern appearing in a sequence of coin flips is independent of the position in the sequence. In other words, the probability of A appearing at time n is the same as the probability of A appearing at time n+k for any k.

Using this fact, we can set up a system of equations to solve for the probability of TA < TB. Let p be the probability of A appearing before B, and q be the probability of B appearing before A. Then we have:

\(p = \frac{1}{2} + \frac{1}{2q}\)  (since the first flip can be either 0 or 1 with equal probability)
\(q= \frac{1}{4p} + \frac{1}{2q} + \frac{1}{4}\) (if the first two flips are 0, the sequence B has appeared; if the first flip is 1 and the second is 0, the sequence is neither A nor B and we start over; if the first flip is 1 and the second is 1, we have a new chance for A to appear before B)

Solving for p, we get:
\(p=\frac{4}{7}\)

Therefore, the probability of A appearing before B is \(\frac{4}{7}\).

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Answer:

1) 4 × 4× 4 = 64

2) 6⁴ = 1296

3) 25 = 25

4) 5² = 2

3) 3⁴= 81

The correct answer is options 1 and 4: w/x divided by y/z is equivalent to X/w x z/y.

To determine which of the given options is equivalent to w/x divided by y/z, let's simplify each option step by step:

w/x divided by y/z:

(w/x) / (y/z) = (w/x) * (z/y) = wz / xy

X/w x y/z:

(x/w) * (y/z) = xy / wz

X/w x z/y:

(x/w) * (z/y) = xz / wy

W/x x z/y:

(w/x) * (z/y) = wz / xy

X/w divided by z/y:

(x/w) / (z/y) = (x/w) * (y/z) = xy / wz

Comparing the simplified expressions, we can see that options 1 and 4 both simplify to wz / xy, while options 2, 3, and 5 do not.

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The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

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Answer:

32.868

≈33 ( am not sure if it needs to be estimated)

Step-by-step explanation:

100%-> 109.56

30%-> 32.868

         ≈33

Answer:

Total commission= $377.75

Step-by-step explanation:

Giving the following information:

She earns a 12 percent commission on her first $350 worth of sales, 25 percent on the next $650 in sales, and 35 percent on all sales exceeding $1,000.

First, we need to determine the total commission formula:

Total comission= x*0.12 + y*0.25 + w*0.35

x= sales up to $350

y= sales from $351 up to $1,000

w= sales from $1,001 to infinity

Now, for $1,495

Total commission= 350*0.12 + 650*0.25 + 495*0.35

Total commission= $377.75

Answer:

5.25 or 5 and 1/4

Step-by-step explanation:

7 pieces of wood * 3/4 yards each piece of wood is = 5.25 or 5 and 1/4 which represents the total length of the 7 pieces of wood.

A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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Answer:

Step-by-step explanation:

The answer is 1 and 3

Answer:

y= x-5

Step-by-step explanation:

i think im wrong

It should be noted that the hypotenuse is the longest side in the triangle. The opposite is the side facing the angle and the adjacent is the last side.

The hypotenuse is the longest side of a right triangle. An "opposite" side is one that is across from a given angle, while a "adjacent" side is one that is close to a given angle.

According on the angle requested, adjacent and opposing sides can differ. The side that is opposite to the requested angle is the opposite side, and the side that is immediately adjacent to the requested angle is the adjacent side.

In conclusion, the opposite is the side facing the angle and the adjacent is the last side.

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False. Y being completely determined by the value of x depends on the specific relationship between x and Y. In many cases, the value of Y may be influenced by multiple factors, not just the value of x. Therefore, it is not accurate to say that Y is always completely determined by the value of x.

The relationship between x and Y can vary across different scenarios and contexts. In some situations, the value of Y may indeed be determined solely by the value of x, implying a direct functional relationship between the two variables. This type of relationship is often referred to as a deterministic relationship, where for every value of x, there is a corresponding unique value of Y.

However, in many real-world situations, the relationship between x and Y is more complex and may involve other variables or factors. These additional variables can introduce variability or uncertainty into the relationship, making it impossible to solely determine Y based on the value of x.

For example, consider a scenario where x represents the amount of rainfall and Y represents crop yield. While there may be a positive correlation between rainfall and crop yield, other factors such as soil quality, temperature, pest infestation, and farming practices also play a role in determining the crop yield. In this case, the value of Y is not completely determined by the value of x alone.

It is important to recognize that the relationship between x and Y can be influenced by a multitude of factors, and statistical analysis techniques are often used to assess the strength and nature of the relationship. Regression analysis, for instance, can help determine how much of the variation in Y can be explained by x and other variables.

In conclusion, the statement that Y is completely determined by the value of x is false. The extent to which Y is determined by x depends on the specific relationship and other factors involved. It is essential to consider the context and potential influences of additional variables when examining the relationship between two variables.

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