Let X Geom(p = 1/3). Find a simple, closed-form expression for 1 * [x+y] E (X − 1)!

As a result, the 15 cartons of creamer will last for 1,350 days, or nearly 3.7  expression years. This implies the consumer drinks one serving of creamer per day at a weight of 5 grammes per serving.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

(Total amount of creamer in grammes) / number of days (Amount of creamer consumed per day in grams)

Let's start by calculating the entire amount of creamer in grammes:

(Number of cartons) x (Total quantity of creamer) (Amount of creamer per box)

15 boxes x 450 grammes each box = total quantity of creamer

Total creamer weight = 6,750 g

(Total amount of creamer in grammes) / number of days (Amount of creamer consumed per day in grams)

The number of days is 6,750 grammes divided by 5 grammes each day.

The number of days is 1,350.

As a result, the 15 cartons of creamer will last for 1,350 days, or nearly 3.7 years. This implies the consumer drinks one serving of creamer per day at a weight of 5 grammes per serving.

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If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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The probability of drawing a seven and then a four when randomly drawing two cards without replacement is 0.0045 or approximately 0.45%.

The probability of drawing a seven and then a four when randomly drawing two cards without replacement can be calculated using the following steps:

First, we need to determine the total number of possible outcomes when drawing two cards from a standard deck of 52 cards without replacement. This can be found using the combination formula:

C(52,2) = 52! / (2! * (52-2)!) = 1,326

Next, we need to determine the number of favorable outcomes where we draw a seven and then a four.

There are four sevens and four fours in a deck of 52 cards, so the probability of drawing a seven on the first draw is 4/52. Since we are not replacing the card, there are now 51 cards left in the deck, and three of them are fours. Therefore, the probability of drawing a four on the second draw is 3/51.

The probability of drawing a seven and then a four is the product of the probabilities of drawing a seven on the first draw and a four on the second draw:

P(seven and then four) = (4/52) * (3/51) = 0.0045 or approximately 0.45%.

Therefore, the probability of drawing a seven and then a four when without replacement is 0.0045 or approximately 0.45%.

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Total buttons = 18 + 9 + 3 = 30 buttons

Total number of white buttons = 18

Total number of blue buttons = 3

Therefore, the formula to calculate the probability is,

Hence,

Hence, the answer is 0.06 (OPTION D).

Answer:

42 yd²

Step-by-step explanation:

Area of a rectangle = width x length

lateral surface area is the area of the sides only

So the difference between the total surface area and the lateral surface area would be the surface area of the ceiling and floor (top and bottom).

area of floor and ceiling = 2(3.5 x 6) = 42 yd²

Or, we can calculate the total surface area and lateral surface area, then find the difference:

total surface area = 2(3.5 x 4.2) + 2(4.2 x 6) + 2(3.5 x 6) = 121.8 yd²

lateral surface area = 2(3.5 x 4.2) + 2(4.2 x 6) = 79.8 yd²

difference = 121.8 - 79.8 = 42 yd²

Answer:

f/3 = -5

Step-by-step explanation:

f/3 + 22 = 17

f/3 = - 5

im going to go one further incase you meant isolate f

f = -15

The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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The change in elevation per minute will be 5.93 meters per minute.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.

Here, the rock climber is using a pulley to lower supplies 20 3/4 neters to the bottom of a cliff and the supplies reach the ground in 3 1/2 minutes.

The change in elevation per minute will be:

= 20 3/4 ÷ 3 1/2

= 20.75 / 3.5

= 5.93 meters per minute.

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Answer:

x=18

Step-by-step explanation:

21:28=x:24

1. rewrite: 21/28 = x/24

2. simplify: 3/4=x/24

3. multiply 24 to both sides: x=18

The answer of the Question EJERCICIO DE ECUACIONES (A) x con 2 (B) x con 1 (C) x con 5 (D) x con 2 (E) x con 4

4 + 6x - 12 - 2x
= (6x - 2x) + (4 - 12)
= 4x - 8
Comprobación:
Reemplazamos x con 2:
4 + 6(2) - 12 - 2(2) = 8

B) 8x + x + x = 10
= 10x = 10
= x = 1
Comprobación:
Reemplazamos x con 1:
8(1) + 1 + 1 = 10

C) 2x - 16 - 4
= 2x - 20
Comprobación:
Reemplazamos x con 5:
2(5) - 16 - 4 = 6

D) 5x - 8 = 12 - 5x
= 10x = 20
= x = 2
Comprobación:
Reemplazamos x con 2:
5(2) - 8 = 12 - 5(2)

E) 12 + 4x + 8 = 36
= 4x = 16
= x = 4
Comprobación:
Reemplazamos x con 4:
12 + 4(4) + 8 = 36

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Answer:

C.  8

Step-by-step explanation:

An inverse variation is:

\(\boxed{k=xy\; \;\;\textsf{or}\;\;\;y=\dfrac{k}{x}}\)

Given points:

Substitute point (6, 12) into  k = xy  to find the value of k:

\(\implies k=6 \cdot 12=72\)

Substitute point (9, y) and the found value of k into  k = xy  and solve for y:

\(\implies k=9 \cdot y\)

\(\implies 72=9 \cdot y\)

\(\implies y=\dfrac{72}{9}\)

\(\implies y=8\)

Therefore, the missing value is y = 8.

The missing value of y is 18.

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well.

Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

To find the inverse variation:

We use the formula of a proportionality.

y ∝ x

Simplifying to equation,

y = kx,

where k is some constant.

To find the value of k:

Substitute the value of x and y to the equation.

For (6, 12),

y = kx

k = y/x

k = 12/6

k = 2.

Now, the equation is,

2 = y/x.

For  (9, y),

2 = y /9

y = 2 x9

y = 18

Therefore, the value of y is 18.

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Let "p" be the number of week taken.

Line Backer is already 285 and gaining 2 lb per week [p].

Thus, his equation would be:

Center is already 310 and losing 3 lb per week [p].

Thus, his eaquation would be:

The linebacker wants to weight no less, that means equal or greater. Thus, the inequality to represent the situation would be:

The correct answer is "A"

EXPLANATION

Since the two planes are 3400 miles apart, and their speed differs by 80 mph, we can apply the following relationship:

2660 / 4 = 665 mph

Assuming that x is the speed of the slower plane and y is the speed of the faster, we have:

(1) x + 65 = y

(2) x + y = 665 [Combined speed of both planes]

Plugging in (1) in (2):

x + (x + 65) = 665

Removing the parentheses:

x + x + 65 = 665

Adding like terms:

2x + 65 = 665

Subtracting -50 to both sides:

2x = 665 - 65

Subtracting numbers:

2x = 600

Dividing both sides by 2:

x = 300

Plugging in x=315 into (1):

300 + 65 = 365

In conclusion, the speed of both planes is:

Slower plane = 300 mph

Fastest plane = 365 mph

Answer:

$4,368

Step-by-step explanation:

This is  compound interest. and to calculate compound interest, which is (Amount - Principal) but we dont know the value for amount so we find the amount first by using the formula.

              A =  P ( 1 +   R ) ^n

                                100      

where p = principal    ($8,950)            

a =  amount       (?)

r =  interest rate    (6.85%)

n = time ( no of years)    (6)

A  =  8,950   ( 1   +   6.85 ) ^6

                             100                  A = 8,950 ( 1 + 0.0685) ^6

A = 8,950  ( 1.0685) ^6    

A = 8950 x 1.4881    A = 13,318

WE THEN FIND COMPUND INTEREST   C = A MOUNT - PRINCIPAL

13, 318 - 8950    = $4,368

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

I think the constant is 2.

Step-by-step explanation:

5 is coefficient because it is with a variable. So 5 cannot be constant.

Answer:

above sea level

Step-by-step explanation:

The Student A, Student C and Student D is correct in their approach and final answer about the vertical asymptote . That is Ava, Jon and Kyle are correct.

Given rational function is f(x) = 4x/(x-2), We have to find the vertical asymptote for the given rational function using different methods by four different students.

Student A's approach and final answer:

Factor the denominator, set it equal to zero, and solve for x:

x - 2 = 0x = 2The vertical asymptote is x = 2. Student A's approach is correct to find the vertical asymptote for a rational function. Therefore, Student A's final answer is correct.

Student B's approach and final answer:

Identify the degree of the numerator and denominator. The degree of the numerator is 1, and the degree of the denominator is 1. Since the degrees of the numerator and denominator are equal, divide the coefficient of the highest degree term of the numerator by the coefficient of the highest degree term of the denominator to get the horizontal asymptote.

The horizontal asymptote is y = 4. Student B's approach is wrong since they are finding the horizontal asymptote instead of the vertical asymptote. Therefore, Student B's final answer is wrong.

Student C's approach and final answer:

Use a graphing calculator to graph the function. The vertical asymptote appears at x = 2. Student C's approach is correct to find the vertical asymptote for a rational function. Therefore, Student C's final answer is correct.

Student D's approach and final answer:

Use long division to divide the numerator by the denominator.4x / x-2 = 4 + 8/(x-2)

The vertical asymptote is x = 2. Student D's approach is correct to find the vertical asymptote for a rational function. Therefore, Student D's final answer is correct.

Therefore, the correct answers are Student A, Student C and Student D.

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Complete Question:

Four students determined the vertical asymptote for this rational function. which student is correct in their approach and final answer? 4x 1/x-2

A)Ava set the denominator equal to 0 and solved for x. The vertical asymptote is x =2.

B)Kaley solved for x in the denominator. She determined that the vertical asymptote is x =-2.

C)Jon set the numerator equal to zero. He determined that the vertical asymptote is y =-14.

D)Kyle determined the ratio of the leading coefficients of the numerator and denominator. The vertical asymptote is x = 4

In this case, the highest degree term is n^7 in the numerator and n^3 in the denominator. Therefore, as n approaches infinity, the sequence grows without bound and diverges. So the answer is "diverges".

To determine if the sequence converges or diverges and find the limit, we'll analyze the given sequence a_n = n^4 / (n^3 - 9n).
Step 1: Identify the highest power of n in both the numerator and the denominator. In this case, it's n^4 in the numerator and n^3 in the denominator.
Step 2: Divide both the numerator and the denominator by the highest power of n found in the denominator, which is n^3.
a_n = (n^4 / n^3) / ((n^3 - 9n) / n^3)
Step 3: Simplify the expression.
a_n = (n) / (1 - (9/n^2))
Step 4: Take the limit as n approaches infinity.
lim n→∞ a_n = lim n→∞ (n) / (1 - (9/n^2))
As n approaches infinity, the term (9/n^2) approaches 0 since the denominator grows much faster than the numerator.
lim n→∞ a_n = lim n→∞ (n) / (1 - 0)
Step 5: Evaluate the limit.
lim n→∞ a_n = ∞

Since the limit goes to infinity, the sequence diverges. Therefore, the answer is "diverges." To determine whether the sequence converges or diverges, we can look at the highest degree term in the numerator and denominator.

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The numerical limits for A grade are 86 and B grade is 76, after rounding to the nearest whole number.

To find the numerical limit for grade A we need to rely on finding the z-scores concerning the top 14%.

here, we need to utilize the standard normal distribution table

the z-score for 14% is 1.08

therefore, using the formula of z-score to find the raw source

z = (X-μ)/σ

restructuring the formula concerning the raw materials

X = z x σ + μ

here,

X = raw source

μ = mean

σ = standard deviation

staging the given values into the formula

X = 1.08 x 7.3 + 78.3 => 86.4

The numerical limit for an A grade is 86.

To find the numerical limit for grade B rely on finding the z-scores concerning the bottom 55% of the z-score is -0.17.

using the formula of z-score to find the raw source

X = z x σ + μ

staging the given values into the formula

X = -0.17 x 7.3 + 78.3 => 76.0

The numerical limit for a B grade are 76.

The numerical limit for A grade are 86 and B grade is 76, after rounding to the nearest whole number.

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Answer:

LN = 4.326

Step-by-step explanation:

dropping a perpendicular from point k to LM

call that point on line LM, point X

angle KLM = 47 degrees so angle NKL = 28 degrees

sin 47 = KX/8.9

KX = 6.509

angle LKX = 90-47-28 = 15 degrees

tan 15 = XN/6.509

XN = 1.744

cos 47 = XL/8.9

XL = 6.070

XL-XN=LN

LN = 6.070-1.744 = 4.326

Answer:

$1.17

Step-by-step explanation:

$0.26*4.5= $1.17

Answer:

$1.17

Step-by-step explanation:

X will be the answer

0.26*4.5=X

All you have to do is multiply but if that's too hard then just do

.26+.26+.26+.26+.13

Once you are done doing the math then your final equation should be:

0.26*4.5= 1.17

Hope I helped!

Answer: 2 -(-6) = 2 + 6 = 8

* (+) - (-) = (+)

If helpful, brainliest please !

Answer and Step-by-step explanation:

If you're confused by what this expression means by looking at it, then try writing or saying out loud the expression.

Two minus negative 6. (2 - (-6))

We know from math that when two negative numbers multiply together, they result in a positive.

We have here the negative 1 (represented as just -, because it isn't necessary to include 1 in the expression) multiply the negative 6.

-1 * -6 = +6.

Now we have the expression 2 + 6.

Add them together.

2 + 6 =

8

8 is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

A possible value for g(6) is 27. The only option greater than 18 is:

e. 27

To determine a possible value for g(6), we can make use of the given information and the properties of the function g(x).

Since g'(x) > 0 for all real numbers x, we know that g(x) is strictly increasing. This means that as x increases, g(x) will also increase.

Furthermore, since g''(x) > 0 for all real numbers x, we know that g(x) is a concave up function. This implies that the rate at which g(x) increases is increasing as well.

Given that g(4) = 12 and g(5) = 18, we can conclude that between x = 4 and x = 5, the function g(x) increased from 12 to 18.

Considering the properties of g(x), we can deduce that g(6) must be greater than 18. Since the function is strictly increasing and concave up, the increase from g(5) to g(6) will be even greater than the increase from g(4) to g(5).

Among the given answer choices, the only option greater than 18 is:

e. 27

Therefore, a possible value for g(6) is 27.

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The p-value associated with the null hypothesis = 0.05

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

Candice should reject the null hypothesis as the 50% confidence interval does not contain 10 hours

Small p-values offer proof that the null hypothesis is false. The stronger the evidence is against the null hypothesis, the smaller (closer to 0) the p-value. The null hypothesis is rejected if the p-value is less than or equal to the chosen significance level; otherwise, it is not.

You have the Hypothesis that "students study less than 10 hours, on average, per week"

Symbolically:

H₀:μ≥10hours

H₁:μ<10hours

The significant level for this case study is 50% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.

The p-value of 0.05 is one of the most often used numbers. When the calculated p-values are less than 0.05, the faulty hypothesis is considered to be fraudulent or invalid (subsequently the name invalid theory). Additionally, the faulty theory is taken into consideration to be clear if the value is greater than 0.05.

The edge for that likelihood in our model is 0.05, and it represents the probability that our results will be similar to the invalid speculation. Therefore, if the calculated p-value is less than 0.05, it actually means that there is a very little likelihood that we would have the same results as the flawed hypothesis. Additionally, if the p-value is greater than 0.05, there is a very strong probability that the results will be similar to the flawed speculation, leading us to conclude that it is legitimate.

Therefore,

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

The p-value associated with the null hypothesis = 0.05

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Answer:

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

Let the mother's present age is m and son's present age is s.

3 years later

3 years ago

Answer:

the slope of the line would be 3/4

Step-by-step explanation:

to find this use your equation for slope: y2-y1/x2-x1

this will give you 5-2/4-0

simplified it is 3/4

another way to know the slope is that the slope will be rise/run, so since the line is going up 3 places and over 4 places, your slope would be 3/4

Answer:

It equals one

Step-by-step explanation: Anything that has the exponent of 0 will always equal one