How many three-digit numbers can be formed from the digits 0,1,2,3,4,5,6,7,8, and 9 if each digit can be used only once? (b) How many of these are odd numbers? (c) How many are greater than 440? (a) How many three-digit numbers can be formed from the digits 0,1,2,3,4,5,6,7,8, and 9 if each digit can be used only once? There are three-digit numbers that can be formed using those digits. (Type a whole number.) (b) How many of these are odd numbers? There are three-digit odd numbers that can be formed using those digits. (Type a whole number.) (c) How many are greater than 440? There are three-digit numbers greater than 440 that can be formed using those digits. (Type a whole number.)

There are 120 different combinations when selecting Christmas presents.

There are 10 available presents in all under a Christmas tree, and

The number of presents chosen to be placed beneath a Christmas tree is 3.

We must determine how many possible combinations there are.

There are a total of three methods by which the 10 gifts can be chosen \(10C_{3}\).

that is

\(nC_{r}=\frac{n!}{r!(n-r)!}\)

\(10C_{r} =\frac{10!}{3!(10-3)!}\)

=120

In order to choose three gifts from a total of ten, there are 120 possible different combinations.

The term "probability" is most commonly used to refer to the likelihood that a specific event (or group of events) will occur, either as a linear scale from 0 (impossibility) to 1 (certainty) or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.

5rdx

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Answer:

Literally nothing.

Step-by-step explanation:

Lol

Answer: I am fairly sure the answer is 56

Step-by-step explanation:

If the credentials to this question match with mine, your answer should be 56. I am sorry if this is wrong.

The difference in elevation between the height of mountain and height of valley measuring from sea level is equal to 6594 feet.

Since it is given that the height of mountain from the sea level is 6874 feet and the height of valley is 280 feet. Therefore to calculate the difference in elevation, the heights will be subtracted from one another to get a value which will show the elevation. Since both the heights are measured from the sea level which is taken as constant, so no extra calculations will be needed.

Elevation difference = Height of mountain - height of valley

Elevation difference = 6874 - 280 = 6594 feet

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Answer:

Step-by-step explanation:

kk

The key difference between hypergeometric distribution and the binomial is which with the hypergeometric distribution,the probability of success changes from trial to trial.

The hypergeometric distribution is used when sampling without replacement whereas the binomial distribution is used when sampling with replacement.

We know in the hypergeometric distribution,

Each trial affects the probability of success for the remaining trials which is not the case in the binomial distribution where the trials are independent of each other.

The random variable in both distributions is discrete, not continuous.

There is no need for the probability of success to be less than 0.5 in either distribution.

Hence,

The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution, the probability of success changes from trial to trial.

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i need points

Step-by-step explanation:

Answer:

a b c d are the answers

Step-by-step explanation:

To find the length and width of a rectangle with the minimum perimeter given an area of 81 cm², the rectangle should be a square with side length 9 cm.

Let's assume the length of the rectangle is L cm and the width is W cm. We are given that the area of the rectangle is 81 cm², so we have the equation L * W = 81.

To find the minimum perimeter, we need to minimize the sum of all sides, which is 2L + 2W. Since we have the equation L * W = 81, we can express one variable in terms of the other, for example, L = 81/W.

Substituting this into the perimeter equation, we get P = 2(81/W) + 2W = 162/W + 2W.

To find the minimum perimeter, we need to find the value of W that minimizes P. To do this, we take the derivative of P with respect to W, set it equal to zero, and solve for W.

dP/dW = -162/W² + 2 = 0

Simplifying, we have -162 + 2W² = 0, which leads to W² = 81. Taking the positive square root, we get W = 9.

Substituting this value back into the area equation, we find L = 81/9 = 9.

Therefore, the rectangle with the minimum perimeter given an area of 81 cm² is a square with side length 9 cm.

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We can use the concept of compound interest and the time value of money. We need to find the number of years it takes for an initial investment of $35,000 to grow to $64,000 at an annual interest rate of 9.75%.

Using the formula for compound interest:

\(A = P(1 + r/n)^(nt)\)

Where:

A = Final amount (in this case, $64,000)

P = Principal amount (initial investment, $35,000)

r = Annual interest rate (9.75%, which is 0.0975 in decimal form)

n = Number of times interest is compounded per year (we'll assume it's compounded annually)

t = Number of years

Rearranging the formula to solve for t:

\(t = \frac{{\log(A/P)}}{{n \cdot \log(1 + r/n)}}\)

Substituting the given values:

\(t = \frac{{\log(64000/35000)}}{{1 \cdot \log(1 + 0.0975/1)}}\)

Evaluating this expression using a financial calculator or any scientific calculator with logarithmic functions, we find that the value of t is approximately 6.49 years.

It takes approximately 6.49 years for an initial investment of $35,000 to grow to $64,000 at an annual interest rate of 9.75% compounded annually.

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The factored form of the equation are as follows;

Converting a quadratic function to factored form is called factoring.

Therefore,

let's factor the equation,

a.

d² - 7d + 6 = 0

d² - d - 6d + 6 = 0

d(d - 1) - 6(d - 1) = 0

(d - 6)(d - 1) = 0

b.

x² + 18x + 81 = 0

x² + 9x + 9x + 81 = 0

x(x + 9) + 9(x + 9) = 0

(x + 9)(x + 9) = 0

c.

u² + 7u - 60 = 0

u² - 5u + 12u - 60 = 0

u(u - 5) 12(u - 5) = 0

(u + 12)(u - 5) = 0

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The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

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Answer:

\(\sqrt{20\\}\)

Step-by-step explanation:

a^2 +b^2=c^2

c is the hypotenuse

assuming that 2 is a and 4 is b, then it would be:

2^2 + 4^2= c^2

4+16=c^2

20=c^2

take the square root of both sides

\(\sqrt{20}=\sqrt{c^{2} }\)

c=\(\sqrt{20}\)

hope this helped!! <333

The given problem is to find the expected value, variance, and probability of a random variable X with probability 1/4 of getting a head when tossing a coin, and X is the number of times a coin with heads probability 1/4 is tossed until the first head appears. So, let's solve this problem one by one.

E(X)The expected value or mean of a random variable X is given by the formula; E(X) = ∑ xi P(X=xi)

Where xi is the value of X and P(X=xi) is the probability of X takes the value xi. For given problem, Probability of getting a head, P(H) = 1/4

Probability of getting a tail, P(T) = 1 - P(H) = 3/4

For X = 1, P(X=1) = P(H) = 1/4

For X = 2, P(X=2) = P(T)P(H) = 3/4 * 1/4 = 3/16

For X = 3, P(X=3) = P(T)²P(H) = 3/4 * 3/4 * 1/4 = 9/64

Similarly, P(X=4) = P(T)³P(H) = 3/4 * 3/4 * 3/4 * 1/4 = 27/256

and so on E(X) = ∑ xi P(X=xi)= 1*(1/4) + 2*(3/16) + 3*(9/64) + 4*(27/256) + …

E(X) = (4/1)

E(X) = 4

Expected value tells us what we can expect the average of the random variable X to be over an infinite number of independent trials. Here the expected value E(X) tells us that, on average, it will take 4 coin tosses to get the first head when the probability of getting a head is 1/4.

E(X²)

The expected value of X² is given by; E(X²) = ∑ xi² P(X=xi)

For X = 1, X² = 1

P(X=1) = P(H) = 1/4

For X = 2, X² = 4

P(X=2) = P(T)P(H) = 3/4 * 1/4 = 3/16

For X = 3, X² = 9

P(X=3) = P(T)²P(H) = 3/4 * 3/4 * 1/4 = 9/64

Similarly, P(X=4) = P(T)³P(H) = 3/4 * 3/4 * 3/4 * 1/4 = 27/256

and so on

E(X²) = ∑ xi² P(X=xi)= 1*(1/4) + 4*(3/16) + 9*(9/64) + 16*(27/256) + …

E(X²) = (16/1)

E(X²) = 16

V(X) Variance is the measure of how far the random variable is from its expected value. It is calculated by taking the difference between the square of the expected value and the expected value of the square.

V(X) = E(X²) – (E(X))² = 16 – (4)²= 0

OXP(X ≤ 10) and P(X > 5)
P(X ≤ 10) = 1, as it is guaranteed that we will get head in 10 or fewer tosses.

P(X > 5) means we need to find the probability of getting a head after more than 5 coin tosses.

That is, it means the first head appears in the sixth or later tosses.

P(X > 5) = (3/4)⁵= 243/1024

So, E(X) = 4, E(X²) = 16, V(X) = 0, OX = P(X ≤ 10) = 1, and P(X > 5) = 243/1024.

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Answer:

after 5 mins y=1

after 15 y=3

after 20 y=4

Step-by-step explanation:

Step-by-step explanation:

x(c - b) = g

divide through by (c - b)

x(c - b) = g

(c - b) (c - b)

x = g/ (c - b)

Answer:

Guys the answer is E. I just took the test.

Step-by-step explanation:

Short answer: Look at the inequalities and plug in either 10 or 8 for m and then you're all set :)

Long Answer:So what you should do first is calculate how long she hikes for and how many mph. It says that she likes the hike for more than 4 hours but less than six. She also hikes at least 2 mph. So if you were ever in first grade you would know that she hikes for at least 5 hours. Now 5 x 2 is 10. Now you can either plug 8.0 into the inequalities or 10 but either way its going to be more than whatever number is first in the inequality but less than 12.

Answer:

E.

Step-by-step explanation:

Answer:

$125.00

Step-by-step explanation:

4 walls (2 at 18 foot and 2 at 15 foot). height of each wall = 10 foot.

total area of 2 wide walls = 2 (10 X 15) = 300 square foot.

total area of 2 long walls = 2 (10 X 18) = 360 square foot.

area of ceiling = 18 X 15 = 270 square foot.

total area = 930 square foot.

200 square foot for one gallon of paint.

she will need 930/200 = 4.65 tins of paint = 5 tins.

one tin costs $25.

she will have to budget 5 X 25 = $125.00  

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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(a) The power series solution for the Associated Laguerre Equation must terminate because the equation satisfies the necessary termination condition for a polynomial solution.

(b) The general expression for the power series coefficients in terms of the first coefficient can be obtained by using recurrence relations derived from the differential equation.

(a) The power series solution for the Associated Laguerre Equation, when expanded as a polynomial, must terminate because the differential equation is a second-order linear homogeneous differential equation with polynomial coefficients. Such equations have polynomial solutions that terminate after a finite number of terms.

(b) To find the general expression for the power series coefficients in terms of the first coefficient, one can use recurrence relations derived from the differential equation. These recurrence relations relate each coefficient to the preceding coefficients and the first coefficient. By solving these recurrence relations, one can express the coefficients in terms of the first coefficient and obtain a general expression.

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40) If the demand for specialty car license plates is perfectly inelastic and the supply curve is upward sloping, then the burden of the tax falls entirely on the consumers (drivers). Therefore, option C) Drivers pay all of the tax is true.

41) If the elasticity of demand for a product is 0 and the elasticity of supply is 1, then the burden of the tax falls entirely on the consumers (buyers). Therefore, option B) Buyers pay all of the tax is true.

42) If the demand for peaches from South Carolina is perfectly elastic and the supply curve is upward sloping, then the burden of the tax falls entirely on the producers (peach sellers). Therefore, option A) Peach sellers pay all of the tax is true.

40) In this scenario, since the demand for specialty car license plates is perfectly inelastic and the supply curve is upward sloping, the correct answer is C) Drivers pay all of the tax. This is because the burden of the tax falls entirely on the consumers with perfectly inelastic demand.

41) With an elasticity of demand of 0 and elasticity of supply of 1, the correct answer is B) buyers pay all of the tax. This is because the inelastic demand means that buyers will absorb the entire tax burden, whereas the elastic supply indicates that sellers can adjust their supply in response to the tax.

42) When the demand for peaches from South Carolina is perfectly elastic and the supply curve is upward sloping, the correct answer is A) peach sellers pay all of the tax. This is because buyers will simply switch to other sources if the price increases due to the tax, so the burden of the tax falls entirely on the peach sellers.

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The Euclidean distance between the two points (5,8,-2) and (-4,5,3) is approximately 10.72 (rounded to two decimal places).

Explanation: -

To calculate the Euclidean distance between two points (5,8,-2) and (-4,5,3), you can use the following formula:

Euclidean Distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Here, (x1, y1, z1) = (5, 8, -2) and (x2, y2, z2) = (-4, 5, 3). Now, plug in the values:

Step 1. Calculate the differences between the co-ordinates;
  (x2 - x1) = (-4 - 5) = -9
  (y2 - y1) = (5 - 8) = -3
  (z2 - z1) = (3 - (-2)) = 5

Step 2. Square the differences:
  (-9)^2 = 81
  (-3)^2 = 9
  (5)^2 = 25

Step 3. Add the squared differences:
  81 + 9 + 25 = 115

Step 4. Take the square root:
  √115 ≈ 10.72

So, the Euclidean distance between the two points is approximately 10.72 (rounded to two decimal places).

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Answer:

(6, 2)

Step-by-step explanation:

xD' = (0-0) + (3×2) = 0+6 = 6

yD' = (2-0) + (3×0) = 2+0 = 2

the dilated coordinate D' (6, 2)

Answer:

6 and 2 pls answer my questions plss

The probability that the spinner will land on a number that is not between 22 and 30, inclusive is 0.62

The given parameters are

Spinner = 1 to 50

This means that

Sections = 50

There are 31 sections that are not between 22 and 30, inclusive

This means that the probability is

P = 31/50

Evaluate

P = 0.62

Hence, the probability that the spinner will land on a number that is not between 22 and 30, inclusive is 0.62

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Therefore, it will take approximately 1415.7 weeks for all of the chemical to evaporate.

To calculate the volume of a cone, we can use the formula:

\(Volume = (1/3) * π * r^2 * h\)

Given that the height (h) of the cone is 240 inches and the radius (r) is 150 inches, we can substitute these values into the formula:

\(Volume = (1/3) * 3.14 * 150^2 * 240\)

Simplifying the equation:

Volume = 3.14 * 22500 * 240

Volume ≈ 16988400 cubic inches

Now, we know that the liquid chemical evaporates at a rate of 12,000 cubic inches per week. To find out how many weeks it will take for all the chemical to evaporate, we can divide the total volume of the chemical by the evaporation rate:

Number of weeks = Volume / Evaporation rate

Number of weeks = 16988400 / 12000

Number of weeks ≈ 1415.7 weeks

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