find the sum of the first 6 terms of the finite geometric series 18, -54, 162

Answer:

184 cm to the 3

Step-by-step explanation:

13x7 91+90+181 and add 3

The Central Limit Theorem can also be used to investigate unusual events. An unusual event is one that occurs with a probability of less than 1%

The Central Limit Theorem can be used to investigate unusual events by calculating the probability of a sample mean being a certain number of standard deviations away from the population mean.

If we assume that the population is normally distributed, then we can use the normal distribution to calculate the probability of observing a sample mean that is a certain number of standard deviations away from the population mean.

An unusual event is typically defined as an event that occurs with a low probability, usually less than 5% or 1%. So, if we observe a sample mean that is more than 2 standard deviations away from the population mean, we can say that this is an unusual event that occurs with a probability of less than 5%. Similarly, if we observe a sample mean that is more than 3 standard deviations away from the population mean, we can say that this is an unusual event that occurs with a probability of less than 1%.

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To decide which measurement has a reverse relationship with the number of wins, we ought to seek for a relationship coefficient with negative esteem. A negative correlation coefficient shows that as one variable increments, the other variable tends to diminish.

Without seeing the real relationship framework, we cannot point out the precise statistic that has a reverse relationship with the number of wins. In any case, ready to search for the relationship coefficient that features negative esteem.

For illustration, in the event that we have a relationship network like this:

markdown

| W | Period | WHIP | SO/9 | BB/9 |

----------------------------------------------

W | 1 | -0.7 | -0.6 | 0.5 | -0.3 |

----------------------------------------------

Period | -0.7| 1 | 0.9 | -0.8 | 0.5 |

----------------------------------------------

WHIP | -0.6| 0.9 | 1 | -0.7 | 0.4 |

----------------------------------------------

SO/9 | 0.5| -0.8 | -0.7 | 1 | -0.4 |

----------------------------------------------

BB/9 | -0.3| 0.5 | 0.4 | -0.4 | 1 |

----------------------------------------------

We are able to see that the relationship coefficient between the number of wins (W) and the earned run normal (Time) is -0.7, which indicates a strong negative relationship. This implies that as the Time increments (showing poorer pitching execution), the number of wins tends to diminish. Subsequently, Time has a reverse relationship with the number of wins.

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Answer:

1 pound

Step-by-step explanation:

If a box can hold 2 pounds but is only filled up 1/2 full, then there is only 1 pound of weight in the box.

To see why, consider that if the box was completely full, it would hold 2 pounds. But if it is only half full, it can only hold half of that amount, or 1 pound. Thus, the weight in the box is 1 pound.

The volume of the solid formed by rotating the region is 26.95 cubic units.

To find the volume of the solid formed by rotating the region enclosed by y = [tex]e^{4x}[/tex] + 1, y = 0, x = 0, and x = 0.3 about the x-axis, we can use the formula for the volume of a solid of revolution:

V = ∫[a, b] π * f(x)^2 dx

where a and b are the limits of integration, and f(x) is the distance from the x-axis to the curve being rotated.

In this case, a = 0 and b = 0.3, and f(x) = e^4x+1. Therefore, we have:

V = ∫[0, 0.3] π * [tex](e^{4x}+1)^{2}[/tex] dx

To evaluate this integral, we can use u-substitution with u = 4x + 1, du/dx = 4, and dx = du/4. Making this substitution, we get:

V = ∫[5, 6.2] π * [tex](e^{u} )^{2}[/tex] * (1/4) du

Simplifying, we get:

V = (π/4) * ∫[5, 6.2] [tex]e^{2u}[/tex] du

Using the power rule of integration, we get:

V = (π/8) * [[tex]e^{2u}[/tex] /2] |_[tex]5^{6.2}[/tex]

Substituting back in for u and simplifying, we get:

V = (π/8) * ([tex]e^{12.4} - e^{10}[/tex] )

Therefore, the volume of the solid formed by rotating the region enclosed by y =  [tex]e^{4x}[/tex] +1, y = 0, x = 0, and x = 0.3 about the x-axis is approximately 26.95 cubic units.

Correct Question :

Find the volume of the solid formed by rotating the region enclosed by y = e^4x+1 , y = 0 , x = 0 , x = 0. 3 about the x -axis.

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The number of Americans experience hearing loss sufficient to affect communication is: 1 in 4.

According to the National Institute on Deafness and Other Communication Disorders (NIDCD).

Approximately 1 in 4 adults in the United States aged 65 and older have hearing loss that is sufficient to affect communication.

This is based on data from a survey conducted by the NIDCD and the National Health Interview Survey.

NIDCD (National Institute on Deafness and Other Communication Disorders).

In the United States, 1 in 4 persons 65 and older suffer hearing loss severe enough to impair conversation.

This is based on information from surveys done by the National Health Interview Survey and the NIDCD.

The number of Americans who experience hearing loss sufficient to affect communication is: 1 in 4.

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In the event  of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.
The volume of a cone is given by the formula V = (1/3)πr²h here r is the radius of the base and h is the height of the cone.

Now we have differentiate this formula concerning t to get
dV/dt = (1/3)πr²dh/dt + (2/3)πrh²dr/dt.

It is given to us  that water is coming out a giant cone shaped funnel at a rate of 15 cubic inches per second, then we  can say that
dV/dt = -15 cubic inches per second

Therefore the funnel has a maximum radius of 40 inches and a height of 75 inches. We need to evaluate  dh/dt
If h = 15 inches.

In order to find dh/dt,
we need to evaluate  dr/dt and place it in  equation for dV/dt.

Therefore, to find dr/dh = r/h.
Given
when h = 75 inches,
r = 40 inches.
Therefore, dr/dh
= 40/75.

Staging this into the equation for dV/dt,

-15 = (1/3)π(40²)(dh/dt) + (2/3)π(40)(15)²(40/75)

Here simplification takes place


dh/dt = -0.4π/3
≈ -0.42 cubic inches per second
In the event  of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.


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Answer:

Rounding to the nearest whole number, we predict that the Star Wars Lego Death Star set has approximately 80 pieces. However, it's important to note that this prediction is based solely on the given model and may not necessarily reflect the actual number of pieces in the set.

Step-by-step explanation:

The given equation for the model is y = 0.16x, where y represents the number of pieces in a Lego set and x represents the cost of the set in dollars.

To use this model to predict the number of pieces in the Star Wars Lego Death Star set that costs $499.99, we substitute x = 499.99 into the equation and solve for y:

y = 0.16x

y = 0.16(499.99)

y = 79.9984

Answer: The way you can find the area of this shape is by splitting the shape into a triangle and a square find the areas of each shape and then add the values.

Step-by-step explanation:

The exponential growth function for the given initial population of the city is y = 315,000 × (1 + 0.02)ⁿ .

And the population increase in the year 2020 is equal to 468000.

Population in the year 2000 = 315,000

Increase in population growth by 2%

The population is increasing by 2% annually, which means the growth rate is 0.02 per year.

The initial population in the year 2000 is 315,000.

An exponential growth function as follows,

y = a ( 1 + r )ⁿ

Where 'a' represents the initial population of the city.

And 'r' represents the rate of the growth of the population.

y = 315,000 × (1 + 0.02)ⁿ

where n is the number of years after 2000 .

And y is the population at that time.

To find the population in the year 2020,

Substitute n = 20 into the equation to get the population in 2020 and solve for y,

y = 315,000 × (1 + 0.02)²⁰

⇒ y = 315,000 × (1.02)²⁰

⇒ y = 315,000 × 1.4860

y ≈ 468073.4

Rounding to the nearest thousand, the population in 2020 will be about 468000.

Therefore, the exponential growth function is y = 315,000 × (1 + 0.02)ⁿ and the population in 2020 is 468000.

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The above question is incomplete, the complete question is:

The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.

City limit

Brookfield

Population. 315,000

Write an exponential growth function that represents the population t

years after 2000?

y=

What will the population be in 2020? Round your answer to the nearest thousand.

The population will be about

3/10 of Max's money was left after he spent 3/5 of his money in the first shop and 1/4 of the remainder in the second shop.

Let's assume Max had $100 to start with (we can use any amount for this problem, but $100 is a convenient round number).

If Max spent 3/5 of his money in the first shop, he spent:

3/5 x $100 = $60

This means he had $40 remaining. If he then spent 1/4 of this remaining amount in the second shop, he spent:

1/4 x $40 = $10

So Max has spent a total of $60 + $10 = $70. Therefore, the amount of money Max has left is:

$100 - $70 = $30

So Max has $30 left out of his original $100. To express this as a fraction, we can write:

$30 / $100 = 3/10

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Answer:

1) -4<x<-2

2) x<-7 or x75

3) 2<x<7

4) x<-5 or x<6

5) x<-8 or x74

Step-by-step explanation:

Thus, Taner needs to run only 3 km this week to reach his  run target of 6 km.

We can begin by defining fractional numbers as numbers that represent one or maybe more pieces of a unit that has been divided into equal parts if we need a definition.

Given that-

So,

2 week target for Taner = 6 km

Now,

1 week target for Taner = 6/2 = 3 km

As, 3 km of run is already finished by the Taner last week. Thus, Taner needs to run only 3 km this week to reach his goal.

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Answer: the selling price of the sleeper sofa is $698, the markup is $460.15, and the net profit is $285.65.

Step-by-step explanation: Add up to fetched = fetched + overhead

Add up to fetched = $237.85 + $174.50

Add up to fetched = $412.35

Since the overhead is 25% of the offering cost, we are able utilize this data to discover the offering cost:

Overhead = 0.25 * Offering cost

Offering cost = Overhead / 0.25

Offering cost = $174.50 / 0.25

Offering cost = $698

The markup is the distinction between the offering cost and the taken a toll:

Markup = Offering cost - Fetched

Markup = $698 - $237.85

Markup = $460.15

The net benefit is the markup short the overhead:

Net benefit = Markup - Overhead

Net benefit = $460.15 - $174.50

Net benefit = $285.65

Therefore , the solution of the given problem of angles comes out to be  

x = 7 is the answer to the equation (16x + 17) = 129° for the variable x.

A skew greatest and smallest walls are located where the roads leading to its ends meet. A crossroads could be where two paths converge. Angle is another outcome of two things interacting. They mimic dihedral shapes more than anything. A two-dimensional curve can be created by arranging two line beams in various ways between their endpoints.

Here,

The steps below can be used to find x in the equation (16x + 17) = 129°:

To find the term with x on one side of the equation, first subtract 17 from both sides of the equation:

=> 16x + 17 - 17 = 129 - 17

=> 16x = 112

Step 2: To find x, multiply both sides of the equation by 16:

=> 16x / 16 = 112 / 16 x = 7

Thus, x = 7 is the answer to the equation (16x + 17) = 129° for the variable x.

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Answer:

the event would be independent.

Step-by-step explanation:

because the penny and dime are two seperate variables

Answer:

besides this pic nothing else can be done

The mean of a binomial probability distribution with p = 0.32 and n = 150 is 48

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success, denoted by p. In the case of a binomial distribution with n trials and probability of success p, the mean, or expected value, is equal to the product of the number of trials and the probability of success, which is np.

In this case, the problem provides the values of p and n, which are p = 0.32 and n = 150, respectively. Therefore, the mean can be calculated by multiplying these two values

μ = np = 150 x 0.32 = 48

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The independent variable in either a before/after t-test or a within-subjects ANOVA is always measured on a nominal or categorical scale.

This is because these statistical tests are used to compare means of two or more related groups, where the independent variable represents the different conditions or time points in which the dependent variable is measured.

For example, in a before/after t-test comparing the effectiveness of a medication, the independent variable would be the two time points (before and after), which are categorical in nature. Similarly, in a within-subjects ANOVA comparing three different treatment conditions, the independent variable would be the three treatment conditions, which are nominal in nature.

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Answer:

Together, they have 12 + 2(12) = 12 + 24 = 36 toys.

Answer:

so in total they have 36 toys

Step-by-step explanation:

If in an Bernoulli experiment the chance of picking red ball is 3.2 times higher than to pick a blue ball, the probability of picking a red ball is approximately 0.7619, or 76.19%.

A Bernoulli experiment is a statistical experiment that has only two possible outcomes, usually referred to as success and failure. In this case, the outcomes are picking a red ball or picking a blue ball.

Let's assume that the probability of picking a blue ball is P(B), and the probability of picking a red ball is P(R). We are given that the chance of picking a red ball is 3.2 times higher than the chance of picking a blue ball. Mathematically, this can be expressed as:

P(R) = 3.2 * P(B)

We also know that the sum of the probabilities of all possible outcomes must be 1, so:

P(R) + P(B) = 1

We can use these two equations to solve for P(R):

P(R) + (1/3.2) * P(R) = 1

(4.2/3.2) * P(R) = 1

P(R) = 3.2/4.2 = 0.7619

This means that out of every 10 balls, about 7.6 will be red and 2.4 will be blue.

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Complete question is:

In an Bernoulli experiment the chance of picking red ball is 3.2 times higher than to pick a blue ball. What is the probability of picking the red ball?

A sample size of approximately 9604 citizens is needed to achieve at least 95% confidence that the estimate is within 1% of the true percentage.

To determine the sample size needed for a study to estimate the percentage of citizens in a town who favor water fluoridation with 95% confidence and a margin of error within 1%, you can use the following formula:

Sample Size (n) = ([tex]z^{2}[/tex] * P * (1-P)) / [tex]E^{2}[/tex]

where:
Z = 1.96 (the Z-score corresponding to a 95% confidence level)
P = estimated proportion of the population (use 0.5 if no prior knowledge)
E = margin of error (0.01 for 1%)

Plugging the values into the formula:

n = ([tex]1.96^{2}[/tex] * 0.5 * (1-0.5)) / [tex]0.01^{2}[/tex]
n = (3.8416 * 0.5 * 0.5) / 0.0001
n = 0.9604 / 0.0001
n ≈ 9604

Therefore, a sample size of approximately 9604 citizens is needed to achieve at least 95% confidence that the estimate is within 1% of the true percentage.

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We can conclude that a quadratic model is appropriate for the given set of points {(-2,4. 5),(0,8),(1,10. 67),(3,18. 96)}.

To determine which model is appropriate for the given set of points {(-2,4.5),(0,8),(1,10.67),(3,18.96)}, we need to examine the pattern in the data and choose a model that fits the pattern well.

One common approach to fitting a model to data is to use regression analysis. In this case, we can start by plotting the points on a graph and visually examining the pattern.

When we plot the points, we see that they form a curved shape that resembles a quadratic function. To confirm this, we can use regression analysis to fit a quadratic model to the data.

Using a quadratic regression model, we obtain an equation of the form y = ax^2 + bx + c, where a, b, and c are constants to be determined. The regression analysis yields the following coefficients: a = 2.138, b = 1.959, and c = 5.48.

We can now use this quadratic equation to predict y for any given value of x within the range of the data.

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Answer:

0.15%

Step-by-step explanation:

red is 3

the total is 20

percentage of red counters = 3 ÷ 20 = 0.15%

Answer:

A-223

B-98

Step-by-step explanation:

A- To find the perimeter of a shape you have to add all the sides together .

Here the only information we get is the length which is 99 and we have to find the width .

To find the width we have to do

332-99

=98m

B-To find the area of a shape you have to do height x width

h x w

but here it gives us the length and the area of it so we would have to divide the two numbers

6468÷66

=98cm²

If ethan threw away 16 Paris of solid-coloured socks and 16 Paris of patterned socks, Ethan had 140 pairs of patterned socks at first.

Let's start by assuming that Ethan had x pairs of patterned socks. According to the problem statement, Ethan had 3/4 as many solid-coloured socks as patterned socks. Therefore, the number of solid-coloured socks he had can be represented as 3/4*x.

Ethan threw away 16 pairs of solid-coloured socks and 16 pairs of patterned socks. So, after the clean-up, he had (3/4*x)-16 pairs of solid-coloured socks and (x-16) pairs of patterned socks.

The problem states that 1/5 of his socks were now solid-coloured socks. So, we can set up an equation:

(3/4x-16) = (1/5)(3/4*x + x - 32)

Simplifying and solving for x, we get:

x = 140

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Answer:

(-2,-2)

Step-by-step explanation:

To find the equation of the line that passes through the point (-2,-2) and is parallel to the line 5x - y = 4, we need to first find the slope of the given line. We can rearrange the given equation into slope-intercept form y=5x-4, where the slope is 5.

Since parallel lines have the same slope, the slope of the line we want to find is also 5. We can use the point-slope formula y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.

Substituting m=5, x1=-2, and y1=-2, we get:

y-(-2) = 5(x-(-2))

y+2 = 5x+10

y = 5x+8

Therefore, the equation of the line that passes through the point (-2,-2) and is parallel to the

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.

This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.

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With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.

This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.

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