a chain letter starts when a person sends a letter to 5 people. each person who sends the letter to 5 other people who have never received it or does not send it to anyone. suppose that 10,000 people send out the letter before the chain ends and that no one receives more than one letter. how many people receive the letter? how many people do not send it out?

Standard error with equal n = S(m1 - m2 ) = √S₁²/n₁ + S₂²/n₂

and Standard error with unequal n = S(m1 - m2 ) = √Sp²/n₁ + Sp²/n₂

What is the standard deviation?

When comparing a population mean to a sample mean, the standard error of the mean, or simply standard error, shows how dissimilar the two are likely to be. It informs you of the degree to which the sample mean would fluctuate if the research were to be repeated with fresh samples drawn from the same population.

Standard error with equal n = S(m1 - m2 ) = √S₁²/n₁ + S₂²/n₂

Standard error with unequal n = S(m1 - m2 ) = √Sp²/n₁ + Sp²/n₂

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The complete question is -

In calculating the _____________(estimated standard error M1 - M2, pooled variance), you typically first need to calculate the ____________(estimated standard error M1 - M2, pooled variance). The ________________(estimated standard error M1 - M2, pooled variance) is the value used in the denominator of the t statistic for the independent-measures t tests.

Step-by-step explanation:

Circumference of a circle is C = 2π r.

Volume of a sphere is V = 4/3 π r³.

Use the circumference to find the radius.  Then use the radius to find the volume.

Or, you can find volume as a function of radius:

r = C / (2π)

V = 4/3 π (C / (2π))³

V = 4/3 π (C³ / (8π³))

V = 1/6 C³ / π²

V = C³ / (6π²)

The correct interpretation of this confidence interval is that, based on the random sample of 351 diamonds taken from AwesomeGems.com on July 28, 2005, with a confidence level of 95%, the true population mean cost per carat of diamonds purchased from the website is estimated to fall between $5938.42 and $6546.32.

This means that if we were to repeat the sampling process many times and construct confidence intervals using the same method, about 95% of these intervals would contain the true population mean cost per carat. It is important to note that this statement is about the population mean, not any particular diamond's cost, and that this interval only applies to diamonds purchased from AwesomeGems.com on July 28, 2005.

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Answer: 5/9

Step-by-step explanation:

Because you are looking for the ratio of BOYS to GIRLS you put those numbers in that order so it would be 10boys/18girls simplified that is 5/9

Answer:

Haaave youuu ever seen a troll

digging a hole

down by the bay?

Step-by-step explanation:

May I have brainliest please? :)

(-1, 1) is the ordered pair is a solution to the system of linear equations

The system of equations are x+2y=1

y=-2x-1

Substitute y value in equation 1

x+2(-2x-1)=1

x-4x-2=1

-3x=3

Divide both sides by 3

x=-1

Substitute the value of x in the equation

-1+2y=1

2y=2

Divide both sides by 2

y=1

Hence, the ordered pair is a solution to the system of linear equations is (-1, 1)

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Answer:

so so so sorry I usually don't do this but you know

Step-by-step explanation:

should have never be a

To find the area bounded by the graphs of the equations y = 3\(x^{2}\) and y = 12 over a given interval, the first step is to determine the points of intersection between the two curves.

Setting the two equations equal to each other, we have 3\(x^{2}\) = 12. Solving for x, we get \(x^{2}\) = 4, which gives us x = ±2. Since we are interested in the area between the two curves, we consider the interval -2 ≤ x ≤ 2. Next, we integrate the difference between the two curves over this interval to find the area. The equation for the area bounded by the curves is given by the integral of (y_top - y_bottom) with respect to x over the specified interval. In this case, it is the integral of (12 - 3\(x^{2}\)) with respect to x from -2 to 2. Evaluating this integral, we get [12x - \(x^{3}\)] from -2 to 2. Substituting the limits of integration, we have (12(2) -\(2^{3}\) ) - (12(-2) - \((-2)^{3}\)), which simplifies to 16 - (-16) = 32. Therefore, the area bounded by the graphs of y = 3\(x^{2}\) and y = 12 over the interval -2 ≤ x ≤ 2 is 32 square units.

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This means that there is a \(31.25%\) chance of having the same number of boys and girls, or roughly \(0.3125.\)

The binomial-probability formula can be used to determine the likelihood of having a specific number of boys and girls, assuming that the odds of having either a boy or a girl are equal, which is \(1/2:\)

\(C(n,k) = P(X=k) * p^k * (1-p)^{n-k}\)

Where:

k is the number of successes, which is the number of boys the couple wants to have and is also equal to the number of girls because they want an equal number of each; in this case,\(k = 6\), where n is the number of tries, which is the number of children the couple expects to have. As a result,\(k = n/2 = 3\) and p is the success-probability, which is equal to the likelihood of having a boy or girl, which is equals to \(1/2\). \(C(n,k) = n! / (k! * (n-k)!)\), where! stands for the factorial function, is the number of combinations of n things taken k at a time.

\(0.3125.\)

When these values are added to the formula:

\(P(X=3) = C(6,3) × (1/2)^3 * (1/2)^(6-3) \\= 20 * (1/2)^6\\= 0.3125\)

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If a card is drawn from a pack of 52 playing cards, then the probability that the card will be jack is 1/13

Total number of playing cards in the pack = 52 cards

Number of jack cards in the pack = 4 cards

The probability is the ratio of the number of favorable outcomes to the total number of outcomes

The probability = Number of favorable outcomes / Total number of outcomes

Substitute the values in the equation

The probability that the card will be a jack = 4/52

Simplify the answer

= 1/ 13

Therefore, the probability that the card will be jack is 1/13

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Percentages

Suppose the entire book has X pages.

2% of X is:

2*X/100 = 0.02X

We are told this is equivalent to 42 pages, thus:

0.02X = 42

Solving for X:

X = 42/0.02

X = 2,100

The book has 2,100 pages

The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.

The ERD for the Miami-Dade County court system's database would include the following entities:

County Jails: Represents the jails within the county system where individuals may be incarcerated.

Mental Health Facilities: Represents the facilities that provide mental health services and support.

Shelters: Represents the shelters that offer temporary housing and assistance to those in need.

Hospitals: Represents the healthcare institutions where individuals receive medical treatment.

Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.

The relationships between these entities would be established through appropriate connections:

County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.

Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.

Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.

Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.

These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.

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Answer:

Solution Given:

(3m/4-3)+9

opening bracket

3m/4-3+9

3m/4+6

taking L.C.M

\( \frac{3m+6*4}{4}\)

\( \frac{3m+24}{4}\)

The simplification form of expression is (3m + 24)/4.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given expression as:

⇒ (3m/4 - 3) + 9

We have to open the brackets above expression,

⇒ 3m/4 - 3 + 9

Apply the arithmetic operation,

⇒ 3m/4 + 6

Taking L.C.M in the expression,

⇒ (3m + 24)/4

Hence, the simplification form of expression is (3m + 24)/4.

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The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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Answer:

Step-by-step explanation:

Coco butter

Answer:

B) -4 < y

Step-by-step explanation:

The lowest point on the y axis of the graph is -4 and everything else is higher

The total cost of two Medium Sodas, two Medium Poocoms, and two Movie tickets will be $38.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Let 'T' represents the total amount, 'm' represents the number of movie tickets, 'p' represents the number of popcorn, 's' represents the number of soda cans, and 'c' represents the number of candies. Then the equation is given as,

T = 8.25m + 6p + 4.75s + 3.5c

The total cost for m = 2, p = 2, s = 2, and c = 0 is calculated as,

T = 8.25(2) + 6(2) + 4.75(2) + 3.5(0)

T = 16.50 + 12 + 9.50 + 0

T = $38

The total cost will be $38.

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The probability that the chosen integer is a perfect square or a perfect cube but not both is therefore 13/100.

When choosing an integer from 1 to 100, there are 10 perfect squares (1² to 10²) and 4 perfect cubes (1³ to 4³). However, the number 1 is both a perfect square and a perfect cube. To avoid counting it twice, we use the formula for the union of two sets: |A∪B| = |A| + |B| - |A∩B|. In this case, |A∪B| represents the number of integers that are either a perfect square or a perfect cube. Plugging in the values, we get |A∪B| = 10 + 4 - 1 = 13. The probability is therefore 13/100.

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Answer:

The expression 3(x-10) can be simplified by distributing the 3 to both x and -10. This gives us:

3(x-10) = 3x - 30

So, the expression equivalent to 3(x-10) is 3x - 30.

Step-by-step explanation:

Answer:

A) 90°

Step-by-step explanation:

if lines b and c are perpendicular then all 8 angles measure 90 degrees

Answer:

Step-by-step explanation:

You take 528- divided by 2000- and then you get your answer.

The ball will hit the ground after 2.355 secs

The velocity of an object the change of displacement with respect to time.

Given the function that represents the height of football ground

h(t) = -16t^2+36t+4

The ball will hit the ground at the point where the height h(t) = 0

Substitute

-16t^2+36t+4 = 0

16t^2-36t-4 =0

4t^2-9t-1= 0

Factorize

t = 9/8 + √97/8

t = 9/8 + 1.23

t = 2.355secs

Hence the ball will hit the ground after 2.355 secs

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Answer:

115

Step-by-step explanation:

Given :

Mean of intelligence score = 100

Standard deviation of intelligence score = 15

Since both are perfectly correlated,

The Zscore ON SAT = +1.0

Using the standard normal interpretation, Xcore on SAT of +1.0 means 1 standard deviation to the right

This means :

Mean + 1 standard deviation

100 + 1*15

= 115

We could use the Zscore formula directly too:

Zscore = (x - mean) / standard deviation

Zscore = +1 ; x = score

Hence, we have

1 = (x - 100) / 15

1 * 15 = x - 100

15 = x- 100

x = 15 + 100

x = 115

Answer:

40%

Step-by-step explanation:

Answer: 50, 60, Less.

Step-by-step explanation: The theoretical probability of the coin landing heads up is 50%

Based on​ Liz's results, the experimental probability of the coin landing heads up is 60

The theoretical probability is less than the experimental probability in this experiment.

Hope this helped have a nice day!

Answer:

\(2\sqrt{x}\)

Step-by-step explanation:

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\)

\(2x \cdot x^{-\frac{1}{2}} = 2x^{1-\frac{1}{2}} = 2x^{\frac{1}{2}} = 2\sqrt{x}\)

Another way of doing this is to see that
\(x^{-\frac{1}{2}} = \frac{1}{\sqrt{x} }\)

So \(2x \cdot x^{-\frac{1}{2}} = \frac{2x}{\sqrt{x} } =2\sqrt{x}\)

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

Hence, it has been proven that the function f achieves either an absolute minimum or an absolute maximum on the interval (0,1).

Let f : (0,1) → r be a continuous function such that lim x→0 f(x) = lim x→1 f(x) = 0. show that f achieves either an absolute minimum or an absolute maximum on the interval (0,1).Solution:The interval given is a closed interval that is bounded (it is bounded by 0 and 1) and therefore compact. By the extreme value theorem, a continuous function on a compact interval attains its maximum and minimum at some points in the interval. Hence, there exists a and b in the interval (0, 1) such that f(a) is the maximum of f on the interval and f(b) is the minimum of f on the interval.Since lim x→0 f(x) = lim x→1 f(x) = 0, then we may have a, b ≠ 0 or 1. But a and b must be within the interval (0,1).Hence, it has been proven that the function f achieves either an absolute minimum or an absolute maximum on the interval (0,1).The total words used in the answer is 152.

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Answer: \(-1, \frac{4}{3}\)

Step-by-step explanation:

\(3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}\)

Answer:

x = -1
x = 4/3

Step-by-step explanation:

Hello!

First, let's convert the equation into Standard Form: \(ax^2 + bx + c = 0\)

We can solve this by factoring the quadratic. We have to find two numbers that multiply to \(ac\) but add up to \(b\).

The two numbers would be -4 and 3. We can expand -x to -4x + 3x, and then factor by grouping.

Use the Zero Product Property. Set each factor to zero and solve for x.

The solutions to the quadratic are -1 and 4/3.

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