kelly is training for one marathon in week one she runs 7 miles in week two she runs 10 miles in week 3 she runs 13 miles given that she keeps the same pattern find the total distance kelly has run after practicing for 7 weeks

Answer:

7,2 I believe

Step-by-step explanation:

(6,3) - (5,4) = (1,-1)

So if P is the midpoint you would add (1,-1) to (6,3)

An estimator is unbiased ​ if the expected value of the estimator is exactly equal to the parameter that it is estimating. So, the answer is unbiased.

An estimator is said to be unbiased if, on average, it provides an estimate of a population parameter that is exactly equal to the true value of the parameter. if we were to take many samples from the same population and compute the estimator for each sample, the average of these estimators would converge to the true population parameter.

Unbiased estimators are considered to be desirable, as they provide an estimate that is not systematically too high or too low, and thus can be used to make accurate inferences about the population. However, some estimators may be biased, meaning that they tend to overestimate or underestimate the population parameter on average, and thus may not provide accurate estimates.

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You will need amount of 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.

To calculate how much butter is needed for 3 cups of flour in a recipe, start by identifying that the recipe requires a ratio of 1 cup of butter for every 2 cups of flour. To get the amount of butter needed for 3 cups of flour, multiply 1 cup of butter by 1.5. This will give you 1.5 cups of butter, which is the amount needed for 3 cups of flour.  Therefore, you will need 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.  To ensure accuracy, it is recommended to measure the ingredients carefully and double check your calculations before proceeding.

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Answer:

25.15 in

Step-by-step explanation:

let's say that x = wide

so x+5.89=length

the perimeter is = 2(width +length)

P=2(x+x+5.89)

108.39=2(2x+5.89)

2x+5.89=54.195

2x=48.305

x=24.1525 in

which is 24.15 in

Given:

Required: To determine a more appropriate domain for Noah to use.

This is explained thus:

From the given graph, the domain of x is from 0 to 4 while the maximum height is at y = 15.

Since the volume of a box cannot be negative, the x-values to use must correspond to non-negative y-values.

Hence, the answer is:

Answer:

A. y=2/3x-6

B. y=-3/2x+13

Step-by-step explanation:

If the line is parallel, then they have the same slope.

-2=2/3(6)+b

-2=4+b

-6=b

y=2/3x-6

If the line is perpendicular, then the slopes are opposite reciprocals.

1=-3/2(8)-b

1=-12=b

13=b

y=-3/2x+13

Step-by-step explanation:

A)

Paralle mean the same slope so 2/3 is the slope

Y+2=2/3(x-6)

Y+2=2/3x-4

Y=2/3x-6

B)

Perpendicular means that we flip the slope and change sign if it +or - so the slope will be -3/2

Y-1=-3/2(x-8)

Y-1=-3/2x+12

Y=-3/2x+13

Answer: 33

Step-by-step explanation:

Answer:

Step-by-step explanation:

33

If the talent contest has a total of $1000 in prize money, and there are five prizes to be awarded, we can divide the total prize money by the number of prizes to find the amount of money for each prize.

So, $1000 / 5 = $200 for each prize.

Therefore, the amount of money for each of the five prizes is $200.

The total charges of both companies is the same at 24 months.

We have:

Company one:

This means that:

y = 20 + 25x + 40x

y = 20 + 65x

Company two:

This means that:

y = 30 + 700 + 35x

y =  730 + 35x

See attachment

On the attached graph, the point of intersection is at

(x, y) = (24, 1558)

This means that the total charges of both companies is the same at 24 months.

On the long run, phone company two has a better deal.

On the short run, phone company one has a better deal.

Because the function have lesser values after the point of intersection.

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The value of x in sequence of number is 10.

Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.

What is geometric series?

Geometric series is an infinite series of the form:

\(a+ar+a r^{2} +ar^{3} +..........\)

where r is known as common ratio.

Now, first term is x and each term there after is twice the previous term.

So the series will be;

x , 2x , 4x , 8x, ..........

Clearly this series is geometric series with common ratio 2.

And the nth term of geometric series is \(ar^{n-1}\)

⇒ fifth term is 160

\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)

Here, first term is x.

The value of x in sequence of number is 10.

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Answer: y=-8x+3

Step-by-step explanation:

Parallel lines have the same slope.

y=-8x+b

-5=-8(1)+b

-5=-8+b

b=3

y=-8x+3

since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.

To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:

Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))

Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.

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Answer:

y=1/2x + 6

Step-by-step explanation:

Use point slope form

y-y1=m(x-x1)

y-5= 1/2 (x+2)

y-5= 1/2x + 1

y= 1/2x + 6

Answer:

The correct answer is C.) h(x) = -4(x − 2)(x + 2).

The zeros of the function h are -2 and 2.

Step-by-step explanation:

yw;)

Answer:

The number is 24

Step-by-step explanation:

Let the two digits number be ab

In real terms, this is 10a + b

So, we have that the sum of the digits subtracted from 10a + b is 18

Mathematically, we have this as;

10a + b - (a + b) = 18

10a + b - a - b = 18

9a = 18

a = 18/9

a = 2

We are also told that the digit at the units place b is double the digit at the ten’s place a

That means b = 2a

b = 2 * 2 = 4

The chi-squared statistic measures the difference between observed and expected frequencies in a categorical data analysis. It is used to test the hypothesis that there is no significant difference between the observed frequencies and the expected frequencies.

Specifically, the chi-squared statistic is the sum of the squared differences between the observed and expected frequencies, divided by the expected frequencies, and is distributed according to the chi-squared distribution.

The higher the value of the chi-squared statistic, the greater the difference between the observed and expected frequencies, indicating a larger deviation from the null hypothesis.

When the sample sizes are large, a chi-squared test is a statistical hypothesis test used in the study of contingency tables. To put it another way, the main purpose of this test is to determine whether two category factors have independent effects on the test statistic.

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The required solution to the given expression is 4x² + 5x - 4y - 3.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

y + 2x - 3 + 4x² + 3x - 5y

We have to determine the solution to the given expression.

As per the question, we have

y + 2x - 3 + 4x² + 3x - 5y

Rearrange the variables in the above expression,

4x² + 2x + 3x + y - 5y - 3

Combine likewise terms in the expression,

4x² + 5x - 4y - 3

Thus, the required solution is 4x² + 5x - 4y - 3.

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The question seems to be incomplete the correct question would be:

Find the solution to the below expression.

y + 2x - 3 + 4x² + 3x - 5y

Therefore, option a and d are Independent events and the correct answer.

Two events are independent if the occurrence of one event has no effect on the likelihood of the occurrence of the other event.

So, let's go through each of the given options to determine which pairs of events are independent:

a. Having a large shoe size and using blue pens:

These two events are completely unrelated to each other, so they are independent. Thus, option a is the correct answer.

b. Driving on ice and having an accident:

Driving on ice increases the likelihood of having an accident, so these two events are dependent.

c. Being pregnant and being female: These two events are not independent since being pregnant is only possible for females. Thus, they are dependent.

d. Drawing a spade from a deck of cards and getting tails on a flip of a coin: These two events are completely unrelated, so they are independent.

e. A father being blonde and his daughter being blonde: These two events are dependent since the father passes on his genes to his daughter. Thus, they are dependent.

f. Getting a raise in salary and buying a new car: These two events are dependent since getting a raise would make buying a car more likely.

Therefore, option a and d are independent events and the correct answer.

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To find y', we need to use the chain rule of differentiation. First, we need to find the derivative of the function inside the parentheses:

Step 1: Find the derivative of the outer function, f'(u) = 5u^4.
Step 2: Find the derivative of the inner function, g'(x) = 3x^2 + sinx (since the derivative of x^3 is 3x^2 and the derivative of -cosx is sinx).
Step 3: Apply the chain rule: y' = f'(g(x)) * g'(x).

So, y' = (5(x^3 - cosx)^4) * (3x^2 + sinx).

In conclusion, the derivative y' of the function y = (x^3 - cosx)^5 is y' = (5(x^3 - cosx)^4) * (3x^2 + sinx).The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

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Answer:

33.33%

Step-by-step explanation:

The percentage was a decrease.

Let the percent be x.

60 × (1 - x%) = 40

60 × (1 - x/100) = 40

1 - x/100 = 40/60

-x/100 = 40/60 - 1

-x/100 = -1/3

x/100 = 1/3

x = 1/3 × 100

x = 33.33333

The integral of f(x,y,z)=8xz over the region in the first octant (x,y,z≥0) above the parabolic cylinder \(z=y^{2}\) and below the paraboloid \(z=8-2x^{2} -y^{2}\) is 128/9.

The first step is to find the bounds of integration. The region in the first octant (x,y,z≥0) is bounded by the planes x=0, y=0, and z=0.

The parabolic cylinder z=y2 is bounded by the planes x=0 and \(z=y^{2}\). The paraboloid \(z=8-2x^{2} -y^{2}\) is bounded by the planes x=0, y=0, and z=8.

The next step is to set up the integral. The integral is:

\(\int\limits {0^{1} } \int\limits {0^{\sqrt{x} } }\int\limits {y^{8}-2x^{2} -y^{2} 8xzdxdy\)

We can evaluate the integral by integrating with respect to z first. The integral with respect to z is:

\(8x^{2} (8-2x^{2}-y^{2} )-8xy^{2} -y^{8} -2x^{2} -y^{2}\)

Simplifying this expression, we get the equation:

\(8x^{2} (8-2x^{2}-y^{2} )-8xy^{2}\)

We can now integrate with respect to x. The integral with respect to x is:

\(4(8-2x^{2}-y^{2} )^{2} -4xy^{2}-0^1\)

Simplifying this expression, we get the equation:

\(4(8-2x^{2}-y^{2} )^{2} -4xy^{2}\)

We can now integrate with respect to y. The integral with respect to y is:

\(4\frac{(8-2-y)^{3} }{3} -4y^{3} -0^1\)

Simplifying this expression, we get the equation:

\(\frac{128}{9}\)

Therefore, the integral of f(x,y,z)=8xz over the region in the first octant (x,y,z≥0) above the parabolic cylinder \(z=y^{2}\) and below the paraboloid \(z=8-2x^{2} -y^{2}\) is \(\frac{128}{9}\).

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The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

the answer is -119

But, I don't know it as a fraction

Answer:

-20/3

Step-by-step explanation:

4 + (−1 2/3)

= 4 + (-5/3)

= -4/1 × 5/3

= -20/3

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

Answer:

To do that you must divide 4 by 100

Step-by-step explanation:

4 divided by 100 is 0.04

Answer:

4/100

Run two decimal places forward

that's

0.04

Hope this helps you

answer: 16 minutes

Step-by-step explanation:

0.8 would mean 80% of 20minutes.

80/100 × 20 =

=1600/100

=16 minutes

The solution to the initial-value problem x(x + 1) dy/dx + xy = 1, y(e) = 1 is y = ln(x + 1) / x.

To solve the given initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have dy/dx + (xy / (x(x + 1))) = 1 / (x(x + 1)).

The integrating factor is given by μ(x) = exp ∫ (xy / (x(x + 1))) dx. Simplifying the integral, we have μ(x) = exp ∫ (1 / (x + 1)) dx = exp(ln(x + 1)) = x + 1.

Multiplying the entire equation by the integrating factor, we obtain (x + 1)dy/dx + xy = (x + 1) / (x(x + 1)).

The left side of the equation can be written as d((x + 1)y)/dx. Integrating both sides with respect to x, we have ∫ d((x + 1)y)/dx dx = ∫ (x + 1) / (x(x + 1)) dx.

Simplifying the right side of the equation, we get ∫ dx / x = ln|x| + C.

Dividing both sides by (x + 1), we have (x + 1)y = ln|x| + C.

Finally, solving for y, we find y = (ln|x| + C) / (x + 1). Using the initial condition y(e) = 1, we can substitute x = e and solve for C to obtain the specific solution y = ln(x + 1) / x.

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