Write a compound inequality for the graph shown below. use x for your variable.

There are no vectors among the options provided that are parallel to (1²2).

To determine if two vectors are parallel, we can compare their direction ratios.

Two vectors are parallel if their direction ratios are proportional.

Let's compare the given vector (1²2) with each of the options provided:

Vector (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​:

Comparing the direction ratios, we have:

1/7 = 2/12 = 2/-22 = 3/4 = 24/3 = 12/13.

Since the direction ratios of the given vector (1²2) are not proportional to the direction ratios of any of the options, none of the options are parallel to (1²2).

summary, none of the vectors (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​ are parallel to the given vector (1²2).

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After performing division, the remainder obtained will be equal to -7.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given equation for division in the question,

2x² - 5 is divided by x - 1.

x - 1) 2x² - 5 ( 2x - 2

       2x² - 2x

             = -2x - 5

                -2x + 2

                       = -7

So, the quotient obtained is 2x - 2 and the remainder is -7.

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The statement the most frequently used graphic in reports is the table is false because tables are not typically the most frequently used graphic in reports.

While tables are commonly used in reports to present structured and detailed information, they are not typically the most frequently used graphic. Instead, other types of visuals such as charts, graphs, and diagrams are often employed to present data and communicate information more effectively.

Graphical representations like bar charts, line charts, pie charts, and scatter plots are widely used in reports to visualize patterns, trends, comparisons, and relationships in the data. These visualizations offer a concise and visually appealing way to convey information, making it easier for readers to understand complex data.

Tables, on the other hand, are more suitable for presenting precise numerical values, categorical information, or detailed breakdowns. They are useful for displaying large datasets or providing specific values for reference. However, their format can be dense and may require closer scrutiny, making them less visually impactful compared to graphical representations.

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The length of YZ if the value of XY and YZ is 7

If the point Y is on line segment XZ, then;

XY + YZ = XZ

Given the following parameters

XY=2 and YZ=5,

Substitute the given parameters

XZ = 2 + 5

XZ = 7

Hence the length of YZ if the value of XY and YZ is 7

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Answer:

83,752,000

Very positive with this answer

Answer:

83,752,200

Step-by-step explanation:

please give me brainlist

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Answer:

25

Step-by-step explanation:

let x = 36

y =  9

x2 = 100

y2 = y2

y : x :: y2 : x2

We know,

Product of means = Product of extremes

That is,

y(x2) = x(y2)

Substituting the values,

9(100) = 36(y2)

=> 36(y2) = 900

=> y2 = 900/36

=> y2 = 25

so when x = 100, y =25

Step-by-step explanation:

the answer is number A for ur q

Initial value is 1, The base, or rate of change, is 1/3 and the domain is All real Numbers.

Two or more expressions with an Equal sign is called as Equation.

Consider the function:

\(y=a(1\pm r)^{m}\)

where m is the number of times this growth/decay occurs,

a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %

From the graph of the exponential decay function.

The initial value is 1.

The base, or rate of change, is 1/3.

The domain is All real Numbers.

Hence,  initial value is 1, The base, or rate of change, is 1/3 and the domain is All real Numbers.

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The given question is incomplete, the complete question is Analyze the graph of the exponential decay function.

The initial value is:

The base, or rate of change is:

The domain is:

b) the current number of shares is 1440, and the market value of your investment is $17,280.

To calculate the current number of shares and the market value of your investment, we need to take into account the stock splits and stock dividends.

Given:

Initial investment: $1,000

Initial number of shares: 200

Current price per share: $12

a. Calculate the current number of shares:

First, let's consider the stock splits and stock dividends:

1. 2-for-1 stock split:

This means that for each existing share, you now have two shares. So the number of shares is doubled.

New number of shares = Initial number of shares * 2 = 200 * 2 = 400 shares.

2. 20% stock dividend:

A 20% stock dividend means you receive an additional 20% of your current number of shares. To calculate the number of shares received:

Shares received = Current number of shares * (20% / 100%)

Shares received = 400 * (20 / 100) = 80 shares.

Total number of shares after the dividend = Current number of shares + Shares received = 400 + 80 = 480 shares.

3. 3-for-1 stock split:

This means that for each existing share, you now have three shares. So the number of shares is tripled.

New number of shares = Total number of shares after the dividend * 3 = 480 * 3 = 1440 shares.

The current number of shares you have is 1440.

b. Calculate the market value of your investment:

Market value = Current number of shares * Current price per share

Market value = 1440 * $12 = $17,280

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The method to get the  future cash flow using the cumulative present value factor is explained.

To calculate the numbers you mentioned, you need to use the cumulative present value factor (PV factor) formula. The PV factor represents the present value of a future cash flow discounted at a given interest rate.

To calculate the cumulative PV factor at 2.5% for 12 periods (10.25776),

you need to multiply the PV factor for each period. The formula for the PV factor is 1 / (1 + interest rate) ^ number of periods.

For example, to calculate the PV factor for each period, you would use the following formula: 1 / (1 + 0.025) ^ period number.

Then, multiply these PV factors for each period to get the cumulative PV factor for 12 periods.

To calculate the cumulative PV factor at 2.5% for the 13th to 37th period (13.69955), you would follow the same steps as above.

However, instead of multiplying the PV factors for all 37 periods, you would subtract the cumulative PV factor for 12 periods from the cumulative PV factor for 37 periods.

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The positive closure of L is L+=L∗−{∅}={a∗−{ε}}={an:n≥1}.

Hence, the correct option is (c) L+=L∗.

Given L={a2i+1:i≥0}.

We need to determine which of the following statement is true.

Statesments: a. L2={a2i:i≥0}

b. L∗=L(a∗)

c. L+=L∗

d. None of the other statements is true

Note that a2i+1= a2i.

a Therefore, L={aa:i≥0}.

This is the set of all strings over the alphabet {a} with an even number of a's.

It contains the empty string, which has zero a's.

Thus, L∗ is the set of all strings over the alphabet {a} with any number of a's, including the empty string.

Hence, L∗={a∗}.

The concatenation of L with any language L′ is the set {xy:x∈L∧y∈L′}.

Since L contains no strings with an odd number of a's, L2={∅}.

The positive closure of L is L+=L∗−{∅}={a∗−{ε}}={an:n≥1}.

Hence, the correct option is (c) L+=L∗.

Note that the other options are all false.

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Answer: 49.25

Step-by-step explanation:

The population variance is closest to 67.43, hence option C: 67.00, by referring the formula for population variance where N plays the number of data points.

The following gives the formula for population variance:

σ2 = (1 /N) ∑ (xi – μ) 2

Where:

σ2 refers to the population variance.

N refers to the total number of data points

∑ (xi – μ) 2 is the sum of the squared differences between each data point and the mean of the population.

For example, consider a population with data values of 12, 8, 28, 22, 12, 30, 14. The mean of this population is:

12+8+28+22+12+30+14)/7 = 18.

The population variance is calculated as follows:

σ2 = (1/7) [(12-18)2 + (8-18)2 + (28-18)2 + (22-18)2 + (12-18)2 + (30-18)2 + (14-18)2]

= 67.43

Therefore, the population variance is closest to 67.43.

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Complete question is:

Consider a population with data values of 12 8 28 22 12 30 14. The population variance is the closest to:

A. 8.00

B. 8.64

C. 67.00

D. 74.67

Answer:

perimeter=40m

Step-by-step explanation:

PERIMETER=(AREA ROOT)*4

                   =10*4=40m

Answer:

C: Melanie is correct.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To make it easier to understand, consider the exponent of a number with no decimals, with 1 decimal and with 2 decimals:

Since our given number is (0.23)⁹, with 2 decimal places, its exponent will have 2*9 = 18 decimals.

1) The property P that we need to prove by induction is as P(p) = length p = length (rem R p) + numR p. 2) For the base case, we need to prove P([]) = length [] = length (rem R []) + numR []. 3) Inductive hypothesis is P(p) = length p = length (rem R p) + numR p. 4) For the step case, we need to prove P(p) → P(L:p) : length (L:p) = length (rem R (L:p)) + numR (L:p).

1) The property P that we need to prove by induction is as follows:

For all lists of directions p, the property P(p) is defined as:

P(p) = length p = length (rem R p) + numR p

If we can prove this property P by induction, it implies the goal of the exercise, which is to show that length p = length (rem R p) + numR p.

2) Base case goal:

For the base case, we need to prove the following goal:

For an empty list of directions p = [], the property P(p) holds:

P([]) = length [] = length (rem R []) + numR []

Proof:

P([]) simplifies to:

length [] = length (rem R []) + numR []

Using the definition of the length function and rem function, we have:

0 = length [] + numR []

Since the length of an empty list is 0, and there are no occurrences of R in an empty list, numR [] is also 0. Therefore, the base case goal holds.

3) Inductive hypothesis:

Assuming that the property P holds for a list p, we assume the following inductive hypothesis:

P(p) = length p = length (rem R p) + numR p

4) Step case goal:

For the step case, we need to prove the following goal:

Assuming P(p), we need to show that P(L:p) holds:

P(p) → P(L:p) : length (L:p) = length (rem R (L:p)) + numR (L:p)

Proof:

Using the definition of the length function and rem function, we have:

length (L:p) = length (L:(rem R p)) + numR (L:p)

Expanding the length and rem functions, we get:

1 + length p = 1 + length (rem R p) + numR (L:p)

Since L is not equal to R, numR (L:p) remains unchanged:

1 + length p = 1 + length (rem R p) + numR p

By canceling out the common terms on both sides, we get:

length p = length (rem R p) + numR p

This matches the property P(p), so the step case goal holds.

By proving the base case and the step case, we have proven the property P(p) by induction, which implies that length p = length (rem R p) + numR p for all lists of directions p.

Correct Question :

length []=0

length (x:xs)=1+ length xs

​−L1

−L2

Consider the following data types and functions: data Direction =L∣R numR : [Direction] -> Int

numR []=0

numR (L:p)= numR p

numR (R:p)=1+ numR p

Answer the following questions:

1. What precisely should we prove by induction? Specifically, state a property P, including possible quantifiers, so that proving this property by induction implies the (above) goal of this exercise.

2. State (including possible quantifiers) and prove the base case goal.

3. State (including possible quantifiers) the inc्acuctive hypothesis of the proof.

4. State (including possible quantifiers) and prove the step case goal.

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The values of 'a' and 'b' are 13 and 29, respectively, for the discrete uniform variable 'x' with a mean of 21 and a variance of 24. Additionally, the probabilities [ < 32| ≥5] and [ ≤24| > 15] are approximately 1.1176 and 0.6429, respectively.

In probability theory and statistics, a discrete uniform variable refers to a random variable that takes on a finite set of equally likely values. In this case, we have a discrete uniform variable, denoted as 'x,' with possible values {a, a+1, ..., b}, where a and b are unknown values. The mean of this variable is given as 21, and the variance is 24. We will now go step by step to find the values of a and b, and then calculate the probabilities [ < 32| ≥5] and [ ≤24| > 15].

Step 1: Finding the values of 'a' and 'b':

To find the values of 'a' and 'b,' we will use the formulas for the mean and variance o

f a discrete uniform variable. The mean of a discrete uniform variable is given by:

mean = (a + b) / 2

Given that the mean is 21, we can write the equation as:

21 = (a + b) / 2

Simplifying the equation, we have:

a + b = 42

The variance of a discrete uniform variable is given by the formula:

variance = [(b - a + 1)² - 1] / 12

Given that the variance is 24, we can write the equation as:

24 = [(b - a + 1)² - 1] / 12

Simplifying the equation, we have:

288 = (b - a + 1)² - 1

289 = (b - a + 1)²

Taking the square root of both sides, we get:

17 = b - a + 1

b - a = 16

Now, we have two equations:

a + b = 42 ---(1)

b - a = 16 ---(2)

Adding equation (1) and equation (2), we get:

2b = 58

Dividing both sides by 2, we find:

b = 29

Substituting the value of b in equation (1), we get:

a + 29 = 42

Subtracting 29 from both sides, we find:

a = 13

Therefore, the values of 'a' and 'b' are 13 and 29, respectively.

Step 2: Finding [ < 32| ≥5]:

To find [ < 32| ≥5], we need to calculate the conditional probability of x being less than 32, given that x is greater than or equal to 5.

Let's find the total number of values in the range [5, 29]. Since 'x' is a discrete uniform variable, the number of values is given by (b - a + 1):

Number of values = (29 - 13 + 1) = 17

Now, let's find the number of values in the range [5, 31]. Again, the number of values is given by (b - a + 1):

Number of values = (31 - 13 + 1) = 19

The probability [ < 32| ≥5] is calculated as the ratio of the number of values in the range [5, 31] to the number of values in the range [5, 29]:

[ < 32| ≥5] = (Number of values in [5, 31]) / (Number of values in [5, 29])

[ < 32| ≥5] = 19 / 17

Finally, we can simplify the fraction:

[ < 32| ≥5] = 1.1176

Therefore, the probability [ < 32| ≥5] is approximately 1.1176.

Step 3: Finding [ ≤24| > 15]:

To find [ ≤24| > 15], we need to calculate the conditional probability of x being less than or equal to 24, given that x is greater than 15.

Let's find the total number of values in the range [16, 29]. Since 'x' is a discrete uniform variable, the number of values is given by (b - a + 1):

Number of values = (29 - 16 + 1) = 14

Now, let's find the number of values in the range [16, 24]. Again, the number of values is given by (b - a + 1):

Number of values = (24 - 16 + 1) = 9

The probability [ ≤24| > 15] is calculated as the ratio of the number of values in the range [16, 24] to the number of values in the range [16, 29]:

[ ≤24| > 15] = (Number of values in [16, 24]) / (Number of values in [16, 29])

[ ≤24| > 15] = 9 / 14

Finally, we can simplify the fraction:

[ ≤24| > 15] ≈ 0.6429

Therefore, the probability [ ≤24| > 15] is approximately 0.6429.

In summary, we have found that the values of 'a' and 'b' are 13 and 29, respectively, for the discrete uniform variable 'x' with a mean of 21 and a variance of 24. Additionally, the probabilities [ < 32| ≥5] and [ ≤24| > 15] are approximately 1.1176 and 0.6429, respectively.

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Answer:

42

Step-by-step explanation:

because i just did this and i got 42 on the asignment

Answer:

the least common denominator is 40

Step-by-step explanation:

brainliest pls

Answer:

40

Step-by-step explanation:

because the the LCD of them is 40

The pints of fruit juice the can contains is 1.5 pints.

The first step is to determine the conversion rate of fluid ounces to pint.

1 fluid ounce = 1/16 pint

In order to determine the pint that is in the fruit juice, multiply the rate of conversion by the quantity of fluid ounces. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign that is used to represent multiplication is x.

Pint of the fruit juice = rate of conversion x given fluid ounces

1/16 x 24 = 24 / 16 = 1.5 pints

Here is the complete question:

A can contain 24 fluid ounce of fruit juice. how many pints of fruit juice does the can contain?

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The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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Answer:

y = -\(\frac{3}{2}\)x + 4\(\frac{1}{2}\)

Step-by-step explanation:

Given: 3x + 2y = 9

Get y alone: 2y = -3x + 9

Get y alone part 2: y = -\(\frac{3}{2}\)x + 4\(\frac{1}{2}\)

Unless we have an x value this is as far as we can solve. Have a nice day! :D

(side note: it is now also in slope-intercept form!)

The ratio of apples to oranges, written as a fraction If Keenan makes a basket with 6 apples, is 5 / 4.

Only verbal descriptions of a portion of the whole were used to write fractions in ancient Rome. The numerator and denominator of fractions are first written in India with one number above the other but without a line. The line used to divide the numerator and the denominator were only added by Arabs.

Given:

For every 4 oranges, there are 5 apples,

Keenan makes a basket with 6 apples,

Calculate the number of oranges as shown below,

The number of oranges = 4 / 5 × 6 = 24 / 5

Calculate the fraction of apples to oranges as shown below,

Ratio = The total number of apples / The number of oranges

Ratio = 6 / 24 / 5

Ratio = 30 / 24

Ratio = 5 / 4

Thus, the ratio is 5 / 4.

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The complete question is:

For every 4 oranges, there are 5 apples, If Keenan makes a basket with 6 apples, what is the ratio of apples to oranges written as a fraction?

Given problem represent Fundamental Counting Theorem.

Fundamental Counting Theorem states that if an event can occur in m different ways, and another event can occur in n different ways, then the total number of occurrences of the events is m×n.

Here Taylor has 5 baskets and there are 6 balls in each basket.

That is m = 5 and n = 6

Therefore Taylor have m×n= 5×6 =30 balls

Hence here we use Fundamental counting theorem.

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