find the number of ways that the digit 0,1,2and3 can be permuted to give rise to a number greater than 2000

Answer:

A

Step-by-step explanation:

In A, if G is 3, then P is -3.

This means that P = (-G)

Answer: The following formula determines the total number of infected people after t days:

500,000 / (1 + 499e^(-1.617t))

We can enter t = 4 into the algorithm to determine the total number of affected 4 days after the outbreak and then assess:

Step-by-step explanation:

500,000 / (1 + 499e^(-1.617(4))) = 500,000 / (1 + 499e^(-6.468))

= 500,000 / (1 + 499(0.00155))

= 500,000 / (1 + 0.77445)

= 500,000 / 1.77445

When this is rounded to the closest whole number, we obtain:

281,580

Therefore, four days after the outbreak, about 281,580 people will be infected.

Answer: 25,000

Step-by-step explanation: 10x10x16x16=25,000

Sweet Treats Bakery is ordering 1,860 kilograms of sugar this time.

If the Sweet Treats Bakery is ordering 25% less sugar than the last time, then they are ordering only 75% of the previous amount, or 0.75 times 2,480 kilograms.

75% can be rearranged as decimal form.

For that, divided by 100.

We get,

75/100 = 0.75.

To calculate this, you can multiply 0.75 by 2,480:

0.75 × 2,480 = 1,860

Therefore, Sweet Treats Bakery is ordering 1,860 kilograms of sugar this time.

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Step-by-step explanation:

There are 720 ways to arrange the letters in the word GRIFFIN.

To see why, we can use the formula for permutations of a set with n elements, which is n! (n factorial).

The word GRIFFIN has 7 letters, so we have:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

However, since the letters in GRIFFIN are not all unique (there are 2 Fs and 2 Is), we need to divide by the number of ways the repeated letters can be arranged. This is the product of their factorials:

2! x 2! = 4

So the final answer is:

7! / (2! x 2!) = 5040 / 4 = 720

Examples of different arrangements of the letters in GRIFFIN are:

- FIGRINF

- IRGIFNF

- NGRIFFI

- IFRIGNF

- GFRINIF

- NRIGIFF

- FFIRIGN

And so on, for a total of 720 possible arrangements.

Does this answer your question.

The remaining person will take 4 days to finish the work.

Work has a completely different connotation in science than it does in ordinary life. Every time labour is performed, energy is transmitted, as shown by the definition of work in physics.

Let's assume that each man can do the whole job in "x" days.

According to the problem, three men can do the job in 10 days, so their combined work rate is:

3/x = 1/10

Solving for x, we get x = 30.

This means that one man can do the job in 30 days.

After three days, one man leaves, so only two men are left to complete the remaining job. They have already worked for 3 days, so the remaining work is:

(2/3) * (7/10) = 14/30

This means that two men can do the remaining work in 14 days.

After another three days, one more man leaves, so only one man is left to complete the remaining job. They have already worked for a total of 6 days (3 days + 3 days), so the remaining work is:

(1/3) * (4/10) = 4/30

This means that one man can do the remaining work in 4 days.

Therefore, the remaining person will take 4 days to finish the work.

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Answer:

ok so here  is the ans i worked long for it like 15 min

plsssssssss mark branliest i beg u

Step-by-step explanation:

Answer:

your insurance will pay $165,000 for the damages to your home. You will have to pay the remaining $5,000 as your deductible.

Step-by-step explanation:

The amount that the person get after he home suffers $170,000 in damages is $-130000.

Deductible amount is the amount which is paid by one in the starting of any policy.

The homeowner’s policy has a premium of $150. Thus, the amount paid in a year is,

[tex]150\times12=1800[/tex]

The home suffers $170,000 in damages and the deductible is of $5000. Thus, the amount remain is,

[tex]\text{A}=170000-5000[/tex]

[tex]\text{A}=165000[/tex]

The limit of the policy is $300000. Thus, the amount will be remained as,

[tex]\text{A}=165000-300000[/tex]

[tex]\text{A}=-135000[/tex]

If we include the deductible amount, then,

[tex]\text{A}=-135000+5000[/tex]

[tex]\text{A}=-130000[/tex]

This amount does not include the premium paid by the homeowner. Hence the amount that the person get after he home suffers $170,000 in damages is $-130000.

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The missing step is −5x > −28. This is obtained by adding 14 to both sides of the inequality. Then, to get x < −2, we divide both sides by −5 and reverse the direction of the inequality sign.

The number of animals there are in the corral is 1020.

We are given that Number of chicken=510

This is a word problem that can be solved by using fractions and proportions.

Let x be the total number of animals in the corral. Then, according to the problem, we have:

x/2 = 510 (half are chickens) x/5 = ? (a fifth are ducks) x/9 = ? (a ninth are turkeys)

To find the total number of animals, we need to find a common denominator for the fractions and add them up. The least common multiple of 2, 5, and 9 is 90, so we multiply each fraction by 90 to get:

45x/90 = 45 * 510 (half are chickens) 18x/90 = ? (a fifth are ducks) 10x/90 = ? (a ninth are turkeys)

Adding up the fractions, we get:

(45x + 18x + 10x)/90 = 73x/90

This is the fraction of animals that are chickens, ducks, or turkeys. To find the total number of animals, we need to divide both sides by 73/90, which is equivalent to multiplying by 90/73. We get:

x = (73x/90) * (90/73) x = x

Therefore, the total number of animals in the corral is x.

To find the value of x, we can use the equation x/2 = 510 and solve for x. We get:

x/2 = 510 x = 510 * 2 x = 1020

Therefore, by unitary method the answer will be 1020.

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The complete question is;

Of the animals in a corral, half are chickens, a fifth are ducks, a ninth are turkeys, and 510 are chickens. How many animals are there in the corral?

Step-by-step explanation:

The two angles form a straight line (180 degrees)

4x-5       +    x+40     = 180   degrees

5x + 35 = 180

5x = 145

x = 29

To achieve your retirement goal of withdrawing $50,000 each year for 15 years after retirement, while earning 7% interest, you will need to deposit approximately $3,671.95 each year for the next 30 years. This calculation is based on the concept of annuity, which takes into account the future value of money and the time value of money. By consistently depositing this amount over the next 30 years, your account will accumulate enough funds to support your retirement withdrawals.

Answer:what are you solving for ? If it’s. X it equals 16

Step-by-step explanation:

The missing angle is approximately 67 degrees. To find it, we used the fact that the sum of the angles in a triangle is 180 degrees and calculated the angle opposite the base using inverse tangent.

An angle is the measure of the space between two intersecting lines, rays, or line segments, given in degrees or radians, often denoted by the symbol θ.

Tangent is a trigonometric function that relates the ratio of two sides of a right triangle: the length of the opposite side over the length of the adjacent side of a given angle.

According to the given information:

The angle theta is the angle between the hypotenuse and the base of a right triangle. We can use the formula for the tangent of an angle to find theta:

tan(θ) = opposite/adjacent

In this case, the opposite side is the height of the triangle (9), and the adjacent side is the base of the triangle (21). So:

tan(θ) = 9/21

tan(θ) = 0.42857...

Using the inverse tangent function ([tex]tan^{-1}[/tex]) on both sides:

θ = [tex]tan^{-1(0.42857...)}[/tex]

θ = 23.8171...

Rounding to the nearest degree gives us an odd number:

θ6 ≈ 23 degrees

Now, to find the missing angle, we can use the fact that the sum of the angles in a triangle is 180 degrees. We know that one angle is 90 degrees (it's a right triangle), and we just found the angle opposite the base (theta). So:

180 - 90 - θ = missing angle

180 - 90 - 23 ≈ 67

Therefore, the missing angle is approximately 67 degrees.

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The relations between facing and bisected angle in the kite are proven as follows

3. The completed two column tables used to prove the specified relations are presented as follows;

Statement [tex]{}[/tex]                              Reasons

1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{AD}[/tex]      [tex]{}[/tex]                      1. Given

2. [tex]\overline{CB}[/tex]≅ [tex]\overline{CD}[/tex]    [tex]{}[/tex]                       2. Given

3. Construct [tex]\overline{AC}[/tex]                    3. Euclid's postulate #1

4. [tex]\overline{AC}[/tex] ≅ [tex]\overline{AC}[/tex]                           4. Reflexive property

5. ΔABC ≅ ΔADC   [tex]{}[/tex]              5. SSS congruence rule

6. ∠ABC ≅ ∠ADC      [tex]{}[/tex]           6. CPCTC

4. The prove that the diagonals congruent sides bisect the angles.

Statement [tex]{}[/tex]                                Reasons

1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{AD}[/tex]                             1. Given

2. [tex]\overline{CB}[/tex] ≅ [tex]\overline{CD}[/tex]                           2. Given

3. Construct [tex]\overline{AC}[/tex]                     3. Euclid's postulate #1

4. [tex]\overline{AC}[/tex] ≅ [tex]\overline{AC}[/tex]                            4. Reflexive property of congruence

5. ΔABC ≅ ΔADC    [tex]{}[/tex]              5. SSS congruence rule

6. ∠CAB ≅ ∠CAD [tex]{}[/tex]                 6. CPCTC

An angle bisector is a segment that divides an angle to form two angles of the same measure.

The details of the reasons used to prove the specified relations are presented as follows;

Euclid's postulate #1

Euclid's postulate #1 states that a straight line can be drawn from any one point to another point.

Reflexive property

The reflexive property of congruence states that a segment is congruent to itself

SSS congruence rule

The SSS, which is an acronym for Side-Side-Side, congruence rule states that the if three sides on one triangle are congruent to three sides on another triangle, then the two triangles are congruent

CPCTC

The acronym CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

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Answer:

[tex]14000( {1.07}^{7} ) = 22480.94[/tex]

$22,480.94 > $20,400, so accepting the $14,000 prize now would be more profitable in 7 years.

Answer: 7,210,000

Step-by-step explanation:

In this hypothetical query, the key phrase is:leading word = x3.leading Coefficient is 2,1 is a fixed term.

An equation is a mathematical statement that states that two expressions are equal. It is written in the form of an equation, with an equals sign (=) between the two expressions. Equations can be used to solve for a single unknown variable, or to show a relationship between multiple variables. Equations can be used to describe the behavior of physical systems, such as the motion of a projectile, or to describe the properties of chemical reactions. Equations are also used to describe the behavior of abstract concepts, such as the rate of growth of a population over time.

There is no connected polynomial; taking the hypothetical

Answer:

leading word = x3.

leading Coefficient is 2

1 is a fixed term.

Detailed explanation:

Considering a fictitious circumstance;

Any polynomial, like 2x3 + 3x + 1,

This is how the polynomial is written: ax3 + bx + c

In this case, a = leading Coefficient;

leading phrase = x3

Constant phrase =

as a result;

In this hypothetical query, the key phrase is:

leading word = x3.

leading Coefficient is 2

1 is a fixed term.

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In this hypothetical query, the key phrase is leading word x³.leading Coefficient is 2,1 is a fixed term.

What is equation?

An equation is a mathematical statement that states that two expressions are equal. It is written in the form of an equation, with an equals sign (=) between the two expressions. Equations can be used to solve for a single unknown variable, or to show a relationship between multiple variables. Equations can be used to describe the behavior of physical systems, such as the motion of a projectile, or to describe the properties of chemical reactions. Equations are also used to describe the behavior of abstract concepts, such as the rate of growth of a population over time.

There is no connected polynomial; taking the hypothetical

Answer:

leading word x³.

leading Coefficient is 2

1 is a fixed term.

Detailed explanation:

Considering a fictitious circumstance;

Any polynomial, like 2x³ + 3x + 1,

This is how the polynomial is written: ax³ + bx + c

In this case, a leading Coefficient;

leading phrase = x³

Constant phrase =

As a result;

In this hypothetical query, the key phrase is:

leading word = x³.

leading Coefficient is 2

1 is a fixed term.

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The sigma notation of the sum for this problem has the parameters given as follows:

To write the sigma notation for the sum in this problem, we must identify the pattern in the sum.

We have that in each term, a numerator of 1 is divided by the index n multiplied by one plus the index, hence the parameter B is given as follows:

B = 1/[n(n + 1)]

The last terms are 117 and 118, meaning that n = 117, hence the parameter A, representing the upper end of the sum, is given as follows:

A = 117.

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Negative correlation.

First of all, let's define the term "correlation" in math functions.

Correlation is a numeric value that expresses how strong the relation is between two variables. It also tells us how one functions affects the other. It can be calculated.

There are three classifications for correlations:

•  Positive correlation. This type of correlation indicates that when a variable increases in value, the other variable follows the same behavior.

•  Negative correlation. This correlation, on the other hand, indicates that when a variable increases, the other variables does the opposite, it decreases.

•  No correlation. This is when one variable has no effect over the other.

Check the attached image to see how these correlations look like in a graph.

On this question we are given a graph with several points on it. As you can tell, the more we move to the right on the "x" axis, the lower the points are. Therefore, as "x" increases, "y" decreases. This is a clear example of a negative correlation graph.

The coordinate pairs that can be the end location are:

(-2, 10)

(-10, 10)

(-6, 14)

(-6, 4)

The student starts at (-6, 10) and walks 4 miles in some direction. Then the end location is any point of the form:

(-6 ± 4, 10)

or

(-6,10 ±4)

Then the 4 possible options are:

(-2, 10)

(-10, 10)

(-6, 14)

(-6, 4)

So these 4 are the correct options.

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To find out the percentage of Tyrone's earnings that he saved, we need to divide the amount he saved by his total earnings and then multiply by 100 to convert the result into a percentage.

The amount that Tyrone saved is $24, and his total earnings are $60.

So,

Percentage of earnings saved = (Amount saved / Total earnings) x 100

= ($24 / $60) x 100

= 0.4 x 100

= 40%

Therefore, Tyrone saved 40% of his earnings by putting aside $24 from the $60 he earned mowing lawns.

Answer:

40%

Step-by-step explanation:

We Know

Tyrone saved $24 of the $60 he earned mowing lawns.

What percent of his earnings did he save?

We Take

(24 ÷ 60) x 100 = 40%

So, he saved 40% of his earning.

Results:

(i) The vector −→EX in terms of a and/or b, →X = 1/2 (10b →OB + 10a →OA)

(ii) The vector −−→XY in terms of a and/or b→XY = →Y - 1/2 (10b →OB + 10a →OA)

(i) We can use the midpoint formula, which states that the midpoint of a line segment is the average of the coordinates of its endpoints to express the vector −→EX in terms of a and/or b.

Since X is the midpoint of BC, we can express X as the average of the coordinates of B and C:

→X = 1/2 (→B + →C)

Since B is located at 10b units in the direction of vector →OB from O, and C is located at 10a units in the direction of vector →OA from O, we can express →B and →C in terms of a and b:

→B = 10b →OB

→C = 10a →OA

Substituting these values into the expression for →X, we get:

→X = 1/2 (10b →OB + 10a →OA)

(ii) To express the vector −→XY in terms of a and/or b, we can use the given ratio AB: BY = 3: 2.

Since AB is a vector from A to B, we can express it as →AB = →B - →A.

Substituting the expressions for →B and →A, we get:

→AB = 10b →OB - →OA

Since AB: BY = 3: 2, we can express BY as 2/3 of AB:

→BY = 2/3 (→AB)

Substituting the expression for →AB, we get:

→BY = 2/3 (10b →OB - →OA)

Finally, we can express →XY as the vector from Y to X, which is the opposite of →X to →Y:

→XY = →Y - →X

Substituting the expressions for →X and →Y, we get:

→XY = →Y - 1/2 (10b →OB + 10a →OA)

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A line passes through point −9, 7 and has a slope of −43, the equation of the line in the =+AxByC form is 43x + y = -380.

To write the equation of a line in the form of Ax + By = C, we need to find values for A, B, and C.

We know that the line passes through the point (-9, 7) and has a slope of -43. We can use the point-slope form of the equation to find the equation of the line:

y - y1 = m(x - x1)

Where m is the slope and (x1, y1) is a point on the line.

Substituting the values we know:

y - 7 = -43(x + 9)

Expanding and rearranging:

y - 7 = -43x - 387

43x + y = -380

Thus, the equation of the line in the =+AxByC form is 43x + y = -380.

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(a) The Null Hypothesis (H₀): The proportion of mall shoppers in my market category who would buy a subscription is greater than or equal to the proportion in Rachel's market category (P₂). Conversely, Alternatvie Hypothesis H₁ insinuates that this proportion is less.

(b) In order to evaluate the legitimacy of these speculations; we have decided to employ the z-test statistic.  

(c) In order to determine the test statistic: we will use the formula:

z = (p₁ - p₂) / √(p(1-p)(1/n₁ + 1/n₂))

where p = (x₁ + x₂) / (n₁ + n₂), where x₁ and x₂ denote the number of successes (or people who said they would purchase a subscription) in each sample, whereas n₁ and n₂ represent the sample sizes, respectively.

According to our data, we received the following: x₁ = 19, n₁ = 99, x₂ = 24, and n₂ = 107. Taking into consideration the aforementioned variables, we obtained p₁= 0.191, p₂= 0.224, and    P = 0.208 for the equation above. Therefore,  

z= (0.191 - 0.224)/√(0.208(1-0.208)(1/99+1/107)) ≈ -1.238

(rounded to three decimal places).

(d) For the single tailed test at 0.01 level of significance, the critical value generated by the z-test was -2.33.

(e) As a result of the calculated test statistic(-1.238) being greater than the produced critical value (-2.33); we cannot refute the null hypothesis. In other words, with an alpha of 0.01, we cannot conclude that the ratio of mall buyers in my market sector wanting to buy a subscription is less than that of the ones from Rachel's.

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The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Part(A),
The given digits can be used to create 300 even four-digit numerals.

Part(B),

These four-digit numbers come in a set of 60.

A. If the numbers must be even:

The units digit has six options: 2, 4, 6, 8, or 0. The units digit cannot be 1, 3, 5, 7, or 9, as they are all odd numbers.

Use any of the last five digits; for the hundreds digit, use any of the last four digits. The tens digit can be represented by any of the last three digits.

The sum of the digits 1, 3, 5, 7, 8, and 9 yields the following number of even four-digit numbers:

5 × 5 × 4 × 3 = 300

The given digits can be used to create 300 even four-digit numerals.

A. If the sum is less than three thousand:

Four-digit numbers are less than 3000, hence a thousand digits must be 1. There are five possibilities for the units digit (since we cannot use 1 or 3).

With each digit appearing just once or twice, the total number of four-digit numbers that may be made that are fewer than 3000 is:

5 × 4 × 3 = 60

There are 60 such four-digit numbers.

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The value {( p ∧ q¹ )  → r¹ } is said to be a form of  expression that is  seen as a logical formula and it is then written in propositional logic made up of logical operators.

The logical operators are seen as  "and" (∧), "not" and  (→).

Note that the terms:

Therefore, the full formula {( p ∧ q¹ ) → r¹ } can then be said to be or read as "if (p and not q) is true, then not r is said to be true".

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See text below

{( p ∧ q¹ )  → r¹ }