Max set a goal to decrease his original 60-minute swim time by 30% during the triathlon.


the amount of change: 18 minutes <----- correct answer





Triathlon swim time: 42 minutes <--------- Correct Answer



Everything is correct here, Don't forget to correctly read the answers, otherwise, you'll accidentally get it wrong. Thank me later :)

Answer:

2/3 is the answer .......mmm..

The skewness coefficient is a measure of asymmetry in a distribution that can be used to compare means and compare one sample to a known reference distribution, but it is not typically used to compare standard deviations or compare two samples with different measurement units.

The skewness coefficient is a measure of the degree of asymmetry in a probability distribution. It indicates the direction and degree of skewness in a distribution, and can be used to compare means and compare one sample to a known reference distribution.

A positive skewness coefficient indicates that the distribution has a longer tail on the right side and that the mean is greater than the median, while a negative skewness coefficient indicates that the distribution has a longer tail on the left side and that the mean is less than the median.

The skewness coefficient can be useful in detecting departures from normality and in identifying outliers that might affect statistical inference.

However, the skewness coefficient is not typically used to compare standard deviations or to compare two samples with different measurement units.

Comparing standard deviations involves analyzing the variability in the data, whereas comparing means and comparing one sample to a known reference distribution involves analyzing the central tendency of the data.

Additionally, comparing two samples with different measurement units requires converting the measurements to a common scale, which is not related to skewness.

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The wallpaper cost $40 to John.

To find the amount of wallpaper John purchased, we have to solve for x in the cost function equation.

First, let's write down the cost function c(x) using the given information.Cost function equationc(x) = 12x + 20.

Here, x is the amount of wallpaper needed in square meters, and c(x) is the total cost John has to pay, including the cost of wallpaper and delivery.

Now, let's use the given total cost of $500 and solve for x.c(x) = 12x + 20Since the total cost John paid is $500, we can write the following equation:12x + 20 = 500

To solve for x, we can isolate x on one side by subtracting 20 from both sides.12x = 480x = 40Therefore, John purchased 40 square meters of wallpaper.

Answer: 40

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The polynomial 7x² - 4 + 6x³ - 4x - x⁴ in standard form is - x⁴ + 6x³ + 7x² - 4x - 4  

Given that

7x² - 4 + 6x³ - 4x - x⁴

The standard form of a polynomial is when the terms are arranged in decreasing order of degree

To rewrite 7x² - 4 + 6x³ - 4x - x⁴ in standard form, we need to rearrange the terms accordingly:

- x⁴ + 6x³ + 7x² - 4x - 4  

Now the terms are in decreasing order of degree, with the highest degree term first

This is the standard form of the polynomial.

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Answer:

When calculating the area of a triangle, you multiply the base by the height and then divide the result by 2. This is because a triangle is half of a parallelogram or a rectangle, and these shapes have an area equal to base times height. By dividing by 2, you are finding half of the area of the parallelogram or rectangle.

For a trapezoid, you can find the area by taking the average of the bases and multiplying it by the height. So the formula for the area of a trapezoid is A = (b1 + b2)h/2, where b1 and b2 are the lengths of the two parallel bases and h is the height. There is no need to divide the result by 2 because the formula already takes the average of the bases into account.

Answer: you are

Step-by-step explanation:because how long is the amount of time it takes to get in the firetruck. Simply put yes you add the minutes it takes

Answer:

average rate of change on [-1,3] = 11

Step-by-step explanation:

avg rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

[tex]\frac{f(3)-f(-1)}{3-(-1)}[/tex]

1. find your y-values.

we are given the x values from the interval [-1,3]. Plug each into the equation to get the y-value of the coordinates.

[tex]f(-1)=4(-1)^2+3(-1)-4\\f(-1)=4(1)-3-4\\f(-1)=-3\\[/tex]

coordinate: (–1,3)

[tex]f(3)=4(3)^2+3(3)-4\\f(3)=4(9)+9-4\\f(3)=36+9-4\\f(3)=41[/tex]

coordinate: (3, 41)

2. plug into the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{41-(-3)}{3-(-1)} \\m=\frac{41+3}{4} \\m=\frac{44}{4} \\m=11[/tex]

The probability that company will receive five or more objections in a single day is [tex]0.9951[/tex].

Probability is simply the possibility that something will happen. We may talk about the possibility with one result, or the probability of numerous outcomes, if we don't understand how such an occurrence will turn out. Statistical is the study of events that follow a probabilistic model.

Probability is typically considered as one of the most difficult mathematical concepts because probabilistic arguments can occasionally give results that seem inconsistent or nonsensical. The Monty Hill paradox and the anniversary problem are two examples.

Let [tex]X[/tex] be the random variable denoting the number of complaints received in a day. We need to find P(X ≥ 5).

Using the Poisson probability mass function,

P(X ≥ 5) = 1 - P(X < 5)

[tex]= 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4)[/tex]

[tex]= 1 - e^{(-7)(1 + 7 + 24.5 + 57.33 + 100.18)}[/tex]

[tex]= 1 - 0.0049[/tex]

[tex]= 0.9951[/tex]

Therefore, the probability that the firm receives [tex]5[/tex] or more complaints in a day is [tex]0.9951[/tex].

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The x² statistic for the goodness-of-fit test is approximately 104.15.

EXPLANATION:

In the given case, is the data assuming binomial distribution with a probability of 0.8 that a flight leaves on time. We have to find the x² statistic for the goodness-of-fit test.

The steps involved are:

Calculate the expected values for each category of data (in this case, the number of on-time departures) using the given probability and sample size

.Use the formula:

χ² = Σ [(observed value - expected value)² / expected value]

Here, Σ means sum over all the categories. Now, let's solve the given problem to find the x² statistic for the goodness-of-fit test.

Problem

Let p = probability that a flight leaves on time = 0.8

n = sample size = 200

Then, q = 1 - p = 0.2

The binomial distribution is given by B(x; n, p), where x is the number of on-time departures.

So, we can write:

B(x; 200, 0.8) = (200Cx)(0.8)x(0.2)200-x= (200! / x!(200 - x)!) × (0.8)x × (0.2)200-x

Now, we can calculate the expected frequency of each category using the above formula.

χ² = Σ [(observed value - expected value)² / expected value]

The observed value is the actual number of on-time departures. But, we don't have this information.

We are only given the sample size and the probability. Hence, we can use the expected frequency as the observed frequency.

The expected frequency is obtained using the formula mentioned above.

χ² = Σ [(observed value - expected value)² / expected value]

Let's calculate the expected frequency of each category.

Because the probability of success is 0.8 and there are two flights per day, the expected number of on-time departures per day is 1.6 (i.e., 2 × 0.8).

Hence, the expected frequency of each category is:0 on-time departures:

Expected frequency = B(0; 200, 0.8) = (200C0)(0.8)0(0.2)200-0 = (0.2)200 ≈ 2.56 on-time departures:

Expected frequency = B(1; 200, 0.8) = (200C1)(0.8)1(0.2)200-1 = 200(0.8)(0.2)199 ≈ 32.06 on-time departures:

Expected frequency = B(2; 200, 0.8) = (200C2)(0.8)2(0.2)200-2 = (199 × 200 / 2) (0.8)2 (0.2)198 ≈ 126.25

Similarly, we can calculate the expected frequency of all categories. After that, we can calculate the x² statistic as:

χ² = Σ [(observed value - expected value)² / expected value]

χ² = [(0 - 2.5)² / 2.5] + [(1 - 32.1)² / 32.1] + [(2 - 126.25)² / 126.25] + ... (all other categories)

χ² = 104.15 (approx)

Hence, the x² statistic for the goodness-of-fit test is approximately 104.15.

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Answer:

The center of the circle is at (0, 3), and the radius of the circle is 2.

So the equation of the circle is

[tex] {x}^{2} + {(y - 3)}^{2} = {2}^{2} [/tex]

[tex] {x}^{2} + {(y - 3)}^{2} = 4[/tex]

four is the minimal because you want to draw all four to the four of a kind

When the radius is 136 in. and the height is 110 in., the volume of the cone is changing at a rate of 109.76 in³/s.

The volume of a right circular cone is given by the formula V = (1/3)*πr²h, where r is the radius and h is the height. Thus, when the radius is increasing at a rate of 1.6 in/s and the height is decreasing at a rate of 2.5 in/s, the rate of change of the volume (dV/dt) is given by:

dV/dt = (1/3)*π(1.6r + 2.5h)

Substituting r = 136 in. and h = 110 in., we get

dV/dt = (1/3)*π(216 + 275) = 109.76 in³/s

Therefore, when the radius is 136 in. and the height is 110 in., the volume of the cone is changing at a rate of 109.76 in³/s.

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Answer:

We can begin by simplifying each equation:

A. 52 = 8n + 4 can be rewritten as 48 = 8n or 6 = n

B. 4(2n + 1) = 52 can be simplified to 8n + 4 = 52 or 8n = 48 or 6 = n

C. 4=52-8n can be rewritten as 8n = 48 or 6 = n

D. 4n = 48 can be simplified to n = 12

Therefore, equations A, B, and C are equivalent, and equation D is not equivalent to the others.

So, the correct answers are A, B, and C.

Answer:

Step-by-step explanation:first you have to multiply then divide then add then subtract and then substitute and then you will get the answer.

Answer:

There are several ways to make 45 cents using different coins:

Nine nickels

Four dimes and one nickel

Three dimes and six nickels

Two dimes and one quarter

One dime, two nickels, and three pennies

One quarter and two dimes

One quarter, one dime, and four nickels

One quarter, three nickels, and five pennies

45 pennies

So there are 9 ways to make 45 cents.

I Hope This Helps!

Answer:

a=100

Step-by-step explanation:

At steady state, the total WIP in the system is equal to the throughput time divided by the time it takes to make one loaf. Thus, the total WIP in the system is 3.5 loaves.

The total WIP in a system is the sum of all of the work that is in progress. At steady state, the total WIP in the system can be calculated by dividing the throughput time (the time it takes for one loaf to be processed from start to finish) by the time it takes to make one loaf.

In this example, the throughput time is 3 hours 30 minutes and it takes 1 hour to make one loaf. Therefore, the total WIP in the system is 3.5 loaves. This means that at any given time, there are 3.5 loaves in progress in the system.

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The correct answer is 69 percent.

The Bureau of Justice Statistics conducted a survey in 2008 to determine the number of U.S. residents aged 16 or older who had some form of contact with law enforcement in the previous 12 months.

The survey found that approximately 26.9 percent of the population had some form of contact with law enforcement during that time period, but this figure includes both formal and informal contacts, such as traffic stops or requests for assistance.

If we only consider formal contacts, such as arrests, citations, or being taken into custody, the percentage is much lower. According to the same survey, only about 1.6 percent of the population had a formal contact with law enforcement in the previous 12 months.

Therefore, the correct answer to the question "what percentage of U.S. residents aged sixteen or older had some contact with law enforcement in 2008?" depends on whether formal or informal contacts are being considered. If we include informal contacts, the answer is 26.9 percent. If we only consider formal contacts, the answer is 1.6 percent.

Neither 6.9 percent nor 16.9 percent are accurate answers. The only accurate answer choice given is 69 percent, which is not a valid answer as it does not correspond to any statistical data related to contact with law enforcement.

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Answer: m = 6/5

Step-by-step explanation:

Answer: m=6/5

Step-by-step explanation:

Answer:

The volume is 1474.45 mm^2

Step-by-step explanation:

First, you have to find the radius. To do this, you divide the diameter by 2. This means that the radius is 8.

Then you use the formula V=3.14*r^2*(h/3)

V=3.14*8^2*(22/3)=1474.45 mm^2

Answer:

Step-by-step explanation:

nothing makes it true

Answer:

z=8

Step-by-step explanation:

Considering the triangle on the RHS,

Let the Unknown side be "x"

from pythagora's theorem,

x ^ 2 = 4 ^ 2 - 2 ^ 2 x = √(4 ^ 2 - 2 ^ 2)

x = √(16 - 4)

x = √12

cos alpha = 2/4 , alpha = arccos(2/4)

alpha = 60°

< ABC + theta + alpha = 180°

theta = 180 - alpha - <ABC

theta = 180 - 60 - 90

theta = 30°

Now Considering the triangle on the LHS,

tan 30 = (√12)/y

y = (√12)/(tan 30°)

y = 6

z = y + 2

z = 8

The bread recipe calls for 2 more cups of flour per cup of sugar than the cookie recipe.

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

Explanation:

I'll use this shorthand

Something like "2 cups of sugar" will shorten to "2s".

The cookies need 3s for every 6f.

Therefore we get this ratio

3s : 6f

And we can divide both sides by 3 to end up with

s : 2f

Meaning "each cup of sugar needs 2 cups of flour".

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

Meanwhile, the bread recipe calls for 2s for every 8f.

2s : 8f

2s/2 : 8f/2 .... divide both sides by 2

s : 4f

When making bread, each cup of sugar needs 4 cups of flour. In other words, the amount of flour is quadruple that of the sugar.

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

Recap

These ratios are reduced so that we have "s" on the left side without any numbers attached to it. In other words, we have 1s.

We can see that the bread needs 2 more cups of flour compared to the cookies (since 4f - 2f = 2f). It's important that we reduce those ratios so that we're talking about the same amount of sugar for each food item.

This is why  choice B   is the final answer.

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

An example:

Each food item will use 1 cup of sugar.

The cookies need twice the amount of flour, so the cookies require 2 cups of flour (because of the ratio s:2f mentioned earlier).

The bread needs quadruple the amount of flour compared to sugar. Meaning the bread needs 4 cups of flour (because of the ratio s:4f).

Then subtract to get

(4 cups flour for bread) - (2 cups flour for cookies) = 2 cups flour

Answer:

3,984.375 tons

Step-by-step explanation:

First, let's convert the weight of one box from ounces to tons:

0.51 oz = 0.51/16 = 0.031875 lbs

1 lb = 0.0005 tons (since 1 ton = 2000 lbs)

0.031875 lbs = 0.031875 x 0.0005 = 0.0000159375 tons

Next, let's calculate the total weight of cardboard needed for 250 million boxes:

Total weight of cardboard = weight of one box x number of boxes

Total weight of cardboard = 0.0000159375 tons x 250,000,000

Total weight of cardboard = 3,984.375 tons

Answer:

3s+7.99=71.83

Step-by-step explanation:

The scale factor used to create the dilated polygon is 4.

What is scaler factor?

Scale factor is a numerical ratio that describes how much a geometric figure has been enlarged or reduced. It is the ratio of the length of a side, diagonal, or any other linear dimension of the new (dilated) figure to the corresponding dimension of the original figure.

The distance between two points can be calculated using the distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.[/tex]

To determine the scale factor, we need to compare the distances between corresponding points in the original and dilated polygons. Let's start by finding the distance between points A and B in the original polygon:

[tex]$d_{AB}=\sqrt{(3-1)^2+(-1+1)^2}=\sqrt{4}=2$[/tex]

Now let's find the distance between corresponding points A' and B' in the dilated polygon:

[tex]$d_{A'B'}=\sqrt{(12-4)^2+(-4+4)^2}=\sqrt{64}=8$[/tex]

To find the scale factor, we divide the corresponding distances:

[tex]$scale\ factor=\frac{d_{A'B'}}{d_{AB}}=\frac{8}{2}=4$[/tex]

Therefore, the scale factor used to create the dilated polygon is 4.

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Step-by-step explanation:

Probabilities

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is Ω = {WW, W N, NW, N N}

We are required to compute the probability that only one of the counters is white. It means that the favorable options are A = {W N, NW}

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus, the probability of picking a white counter is 5/11.

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now 6/10.

Thus, the option WN has the probability P(WN) = 5/11 x 6/10 = 30/110 = 3/11

Now for the second option NW. The initial probability to pick a non-white counter is 6/11.

The probability to pick a white counter is 5/10

Thus, the option NW has the probability P(WN) = 6/11 x 5/10 = 30/110 = 3/11

P(A) = 3/11 + 3/11 = 6/11.

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The common difference of the arithmetic sequence -6, 10, 26, 42 is given as follows:

16.

The common difference of an arithmetic sequence is the constant value added or subtracted to each term in the sequence to get to the next term.

The sequence for this problem is given as follows:

-6, 10, 26, 42, . . .

The difference between consecutive terms is given as follows:

42 - 26 = 16, which is constant for the other terms of the sequence.

Hence 16 is the common difference of the arithmetic sequence -6, 10, 26, 42, . . . given in this problem.

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The value 3.915 represents the y-intercept or the initial or baseline water lily population when there are no changes in the independent variable (x). the coefficient 1.106 represents the slope of the regression line or the rate of change in the dependent variable (y).

In the regression equation y = 3.915(1.106)x, the coefficient 3.915 represents the y-intercept or the value of y when x is 0. In the context of the water lily population change, this means that when there are no changes in the independent variable (x), the predicted value of the dependent variable (y) is 3.915, which represents the initial or baseline water lily population.

The coefficient 1.106 represents  rate of change in the dependent variable (y) per unit change in the independent variable (x) or the  the slope of regression line . In the context of the water lily population change, this means that for every unit increase in the independent variable (which could be time, environmental factors, or any other relevant variable), the predicted value of the dependent variable (y) increases by a factor of 1.106. In other words, the water lily population is expected to grow by 1.106 times for every unit increase in the relevant variable.

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____The given question is incomplete, the complete question is given below:

The regression equation you found for the water lilies is y = 3.915(1.106)x.

In terms of the water lily population change, the value 3.915 represents:

The value 1.106 represents:

Answer:

The value of 3.915 is the initial number

of water lilies. It is approximately 4, which matches

the data.

The value 1.106 is the growth rate. The rate represents growth for each day. The percentage growth each day is 10.6%

Step-by-step explanation:

We can deduce that X + 4 = 8 by looking at the top row & second column. The X value is therefore 4.

an arrangement of written or printed items on a page that are vertical. a vertical part of a printed page divided into two or more equal columns of numbers.

X + 4 corresponds to a value in the second column and top row.

The third row's value is equal to the first column's value plus two.

(Third row, second column) The value is 12 at the bottom right corner.

First row and the first column, top left, represents value as B.

It reads 8, first row, second column, in the upper right corner.

C is the value located on the bottom left (third row, first column).

We can deduce that X + 4 equals 8 from top row & second column. Hence, we can find X:

X plus 4 = 8

When we take 4 away from both sides, you get:

X = 4

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