The record time for running the Boston Marathon is 2.12 hours at an average speed of 12.5 miles per hour. What distance does the Boston Marathon approximately cover?

Number lines are used to represent numbers at regular intervals

The letter that represent one and eighty-five hundredths is letter B

The number is given as: one and eighty-five hundredths

Rewrite as:

1.85

The above means that, 1.85 is between the eighth and ninth tick mark after one.

Hence, the letter that represent 1.85 is letter B

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Answer:

The answer is B

I did the quiz

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

The probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that:

Weight/Calories   1000-1500   1500-2000 2000-2500    Total

per Day              

120 lb.                        90            80      10        180

145 lb.                        35            143       25        203

165 lb.                        15             27         75         117

Total                       140            250        110       500

Hence, Total no. of person consumes 2000 to 2,500 calories in a day = 110

And, Total = 500

Now the probability that a person consumes 2,000 to 2,500 calories in a day :

⇒ 110 / 500

⇒ 0.22

Hence  the probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.

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Answer:

16 m

Step-by-step explanation:

Answer:

16 meters

Step-by-step explanation:

A) Pr(o,e) is the probability of an event o and event e occurring. B) Pr(e) is the probability of an event e occurring.C) Pr(o|e) is the probability of an event o given that event e has occurred.

Risk analysis is a quantitative assessment of risk. It is a method for estimating the likelihood of an adverse event occurring and the possible negative consequences if it does occur. Risk analysis has many applications, including finance, insurance, healthcare, and engineering.

It is a critical component of decision-making processes, such as business planning and policy development. The probability of occurrence is one of the key inputs to risk analysis, and it is essential to understand its meaning in this context.

Pr(o,e) is the probability of an event o and event e occurring.

This is the joint probability of two events. (o,e) represents the occurrence of two events together.

Pr(e) is the probability of an event e occurring.

This is the marginal probability of an event. Finally,

Pr(o|e) is the probability of an event o given that event e has occurred.

This is the conditional probability of an event.

This equation is known as Bayes' theorem, and it is the foundation of risk analysis. It describes how we can update our beliefs about the likelihood of an event occurring as new information becomes available.

By applying Bayes' theorem, we can estimate the likelihood of an adverse event occurring and the possible consequences of that event.

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a. A 25-year mortgage at a rate of 10 %.

(i) Monthly payment: $970.41

(ii) Total amount of interest paid: $161,122.85

b) 15-year mortgage:

(i) Monthly payment: $1,133.42

(ii) Total amount of interest paid: $72,195.84

a) 25-year mortgage at a rate of 10%:

Let's calculate the monthly payment and the total amount of interest paid for this mortgage.

(i) Monthly Payment:

To calculate the monthly payment, we can use the formula for the monthly payment of a mortgage:

M = P * r * (1 + r)^n / ((1 + r)^n - 1),

where:

M is the monthly payment,

P is the principal amount (the price of the house minus the down payment),

r is the monthly interest rate (10% divided by 12 months),

n is the total number of monthly payments (25 years multiplied by 12 months).

P = $140,000 - 20% * $140,000

= $140,000 - $28,000

= $112,000

r = 10% / 12

= 0.10 / 12

= 0.00833333

n = 25 years * 12 months

= 300

Plugging these values into the formula, we get:

M = $112,000 * 0.00833333 * (1 + 0.00833333)^300 / ((1 + 0.00833333)^300 - 1)

Using a calculator, we find that the monthly payment is approximately $970.41.

(ii) Total Amount of Interest Paid:

To calculate the total amount of interest paid, we can subtract the principal amount from the total amount paid over the loan term.

Total amount paid = M * n

Total amount of interest paid = Total amount paid - P

Total amount of interest paid = ($970.41 * 300) - $112,000

Using a calculator, we find that the total amount of interest paid is approximately $161,122.85.

b) 15-year mortgage at a rate of 10%:

Let's calculate the monthly payment and the total amount of interest paid for this mortgage.

(i) Monthly Payment:

Using the same formula as above with adjusted values for n:

P = $112,000 (same as before)

r = 10% / 12

= 0.10 / 12

= 0.00833333

n = 15 years * 12 months

= 180

Plugging these values into the formula, we get:

M = $112,000 * 0.00833333 * (1 + 0.00833333)^180 / ((1 + 0.00833333)^180 - 1)

Using a calculator, we find that the monthly payment is approximately $1,133.42.

(ii) Total Amount of Interest Paid:

Using the same approach as before:

Total amount paid = M * n

Total amount of interest paid = Total amount paid - P

Total amount of interest paid = ($1,133.42 * 180) - $112,000

Using a calculator, we find that the total amount of interest paid is approximately $72,195.84.

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The appropriate measure of association for two nominal-level variables is lambda.

What do you mean by nominal-level variables?

Nominal variables lack any intrinsic ranking because they are measured at the nominal level. Gender, race, religious affiliation, and college major are a few examples of nominal variables that are frequently evaluated in social science investigations.

According to the options in the given question,

The appropriate measure of association for two nominal-level variables is:

We have the options in the given question,

a.omega.

b.gamma.

c.pre.

d.lambda.

e.alpha.

The option d. lambda is the correct answer to the question.

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The probability of two people on the same team having the same birthday is: P(A) = 1 / 16

The probability of two people having the same birthday in a group of 32 people is 1/365. This is because there are 365 possible days that a person can have a birthday, and the probability of two people having the same birthday is 1/365.

In this case, there are 16 teams of 2 students each, and the probability of two people on the same team having the same birthday is 1/365.

To calculate the probability of this event occurring, we can use the formula:

P(A) = n(A) / n(S)

Where P(A) is the probability of the event occurring, n(A) is the number of favorable outcomes, and n(S) is the total number of possible outcomes.

In this case, the number of favorable outcomes is 1, since there is only one team that has two people with the same birthday. The total number of possible outcomes is 16, since there are 16 teams.

Therefore, the probability of two people on the same team having the same birthday is:

P(A) = 1 / 16

So, the probability of this event occurring is 1/16.

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Answer: This kind of property is the multiplicative property of 0.

Answer:

The answer should be muiltpication Property

Step-by-step explanation:

Since its dealing with multipication of the number 0 then its multipication property if not then it might be associative property. Let me know if this helps

Total pay = Regular pay + Overtime pay = $280 + $616 = $896. Therefore, if Lisa works 42 hours in one week, she would be paid $896

The first step is to calculate Lisa's regular pay for the week. We know that her regular hourly rate is $8 per hour. If she works 35 hours or less in a week, then her pay is simply her hourly rate times the number of hours worked. Therefore, her regular pay for a week where she works 35 hours or less would be:

Regular pay = $8/hour * 35 hours = $280

However, we know that Lisa worked 42 hours in one week, which is more than 35 hours. This means she also worked 7 overtime hours. According to the problem, Lisa is paid 11 times her regular salary for any overtime hours worked. This means her overtime pay for the 7 overtime hours would be:

Overtime pay = $8/hour * 11 * 7 hours = $616

To get Lisa's total pay for the week, we simply add her regular pay and overtime pay together:

Total pay = Regular pay + Overtime pay = $280 + $616 = $896

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Answer:

Ask for a refund. Those fake buttox's aren't right for you,

Step-by-step explanation:

Answer:

You are Theodore from Alvin and the chipmunks, You can use them to store food

Step-by-step explanation:

ok

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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Answer:

I think it's D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

They are anxious to get their results

Answer:

the area of this triangle is 7(5) which equals 35 sq cm

Step-by-step explanation:

no parallelogram shown?

Answer:

-1 2/3 < -1/4

Step-by-step explanation:

-1 2/3 is less than -1   and    -1/4 is more than -1

-1 2/3 < -1/4

Answer:

a=4

b=20

c=16

d=145

e=40

Step-by-step explanation:

The desired fuel efficiency of a car two years from now would ideally be improved compared to the current fuel efficiency.

There are several reasons why we would want the fuel efficiency of a car to be better in the future:

Environmental Concerns: Improving fuel efficiency helps reduce carbon emissions and minimize the environmental impact of vehicles. As the world becomes more conscious of climate change and the need to reduce greenhouse gas emissions, enhancing fuel efficiency plays a vital role in mitigating environmental damage.

Energy Conservation: Better fuel efficiency means using less fuel to travel the same distance. With finite energy resources and the need to conserve them, improving fuel efficiency helps reduce the overall energy consumption in transportation, leading to better resource management.

Cost Savings: Increasing fuel efficiency directly translates to lower fuel consumption and reduced expenses for car owners. With rising fuel prices, having a more fuel-efficient car can significantly cut down on fuel costs, saving money for individuals and businesses.

Technological Advancements: As technology progresses, advancements in engine design, aerodynamics, lightweight materials, and alternative energy sources enable the development of more fuel-efficient vehicles. Striving for improved fuel efficiency encourages innovation in the automotive industry, leading to the creation of more sustainable and eco-friendly transportation options.

Government Regulations: Many governments worldwide have implemented fuel efficiency standards and regulations to reduce fuel consumption and emissions. By meeting or exceeding these standards, car manufacturers contribute to a cleaner and more sustainable transportation sector.

Ultimately, aiming for improved fuel efficiency two years from now aligns with the global push for environmental sustainability, energy conservation, cost savings, technological advancements, and adherence to regulatory standards. It benefits both individuals and society as a whole by promoting a greener and more efficient approach to transportation.

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Answer:

a

Step-by-step explanation:

just bc it is

The results of the regression analysis indicate that television and newspaper advertising are both important in driving weekly gross revenue. This means that the owners of Dixie Showtime can use the results of the regression analysis to make informed decisions about their advertising budgets in order to maximize their weekly gross revenue.

The results of part (a) and part (c) indicate that advertising plays a significant role in the weekly gross revenue of Dixie Showtime Movie Theaters, Inc. The results of the regression analysis indicate that television and newspaper advertising are both important in driving weekly gross revenue. This means that the owners of Dixie Showtime can use the results of the regression analysis to make informed decisions about their advertising budgets in order to maximize their weekly gross revenue. They can allocate their advertising budget based on the amount of impact each form of advertising has on their weekly gross revenue. Additionally, the owners can use the results of the regression analysis to determine the amount of weekly gross revenue they will generate based on their chosen advertising budget.

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Answer:

x=45 degree

Step-by-step explanation:

x+135=180 degree (0pposite angles of a inscribed quadilateral in a circle are supplement of eaach other)

x=180-135

x=45 degree

I think Landscape painting

Landscape painting was regarded as the highest form of Chinese painting, and generally still is. The time from the Five Dynasties period to the Northern Song period (907–1127) is known as the "Great age of Chinese landscape".

Landscape painting was regarded as the highest form of Chinese painting, and generally still is. The time from the Five Dynasties period to the Northern Song period (907–1127) is known as the "Great age of Chinese landscape".

Over the past forty years, there has been a sharp rise in the quantity and variety of interest groups. .

In general, federal courts handle cases involving federal law, while state courts hear cases involving state law. Because most crimes are violations of local or state law, state courts typically hear criminal cases.

The 94 District Courts (trial courts), 13 Courts of Appeals (intermediate appellate courts), and the United States Supreme Court are the three main categories of federal courts within the federal system (the court of final review).

The three main causes of this surge are the "New Politics" movement, the increase of the role of government, and grassroots conservative action. Federal jurisdiction over a wide variety of public policy problems was expanded throughout the 1960s and 1970s, and there was a matching rise in the number of interest organizations that could exert pressure on elected officials

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The volume of the solid obtained by rotating region A about y = -7 is π/3 cubic units.

To find the volume, we can use the method of cylindrical shells. The region A is bounded by the curves y = -2x + 4 and y = \(x^{2}\) - 7.

First, let's find the points of intersection between the two curves. Setting them equal to each other, we have:

-2x + 4 =\(x^{2}\) - 7

Rearranging and solving the quadratic equation, we get \(x^{2}\) + 2x - 11 = 0. Using the quadratic formula, we find that x ≈ 1.55 and x ≈ -3.55.

Since we are rotating about y = -7, the radius of the cylindrical shells will be y + 7. The height of each shell will be the difference between the curves: (-2x + 4) - (\(x^{2}\) - 7).

Integrating this expression from x = -3.55 to x = 1.55, and then multiplying by 2π to account for the full rotation, we get the volume:

V = 2π∫[-3.55, 1.55] (y + 7)[(-2x + 4) - (\(x^{2}\) - 7)] dx ≈ π/3 cubic units.

Therefore, the volume of the solid obtained by rotating region A about y = -7 is π/3 cubic units.

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$25.99x

Step-by-step explanation:

As, for 1 song = $0.99 + $25

So, 1 song = $25.99

So, x song = $25.99 multiplied by x

Which is = $25.99x

So answer = $25.99x

Since the strain of bacteria doubles every 5 minutes, we can use the exponential growth formula to calculate the number of bacteria present at any given time. The formula is given by:

N = N0 * 2^(t/d)

where:

N = final number of bacteria

N0 = initial number of bacteria (1 in this case)

t = time elapsed (96 minutes)

d = doubling time (5 minutes)

Plugging in the values into the formula:

N = 1 * 2^(96/5)

Using a calculator or simplifying the exponent:

N ≈ 1 * 2^19.2

Since we're dealing with whole numbers, we can round the exponent to the nearest whole number:

N ≈ 1 * 524,288

Therefore, at the end of 96 minutes, there could be approximately 524,288 bacteria present.

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Answer:

Slope= -1

Step-by-step explanation:

Rise over run

2 to the right 2 down = 2/-2

Simplify to -1

Step-by-step explanation:

im sorry if this answer going to like not let more people answer but use math. way it helps a lot

The surface area of the rectangular prism with the given length, width, and height is 1,872 square inches.

What is a rectangular prism?

A rectangular prism is simply a three-dimensional solid shape with six faces that are rectangles.

The surface area of a rectangular prism is the sum of the areas of all the faces.

The surface area of a rectangular prism is expressed as:

S.A = 2( wl + hl + hw )

where,

w is the width,

l is the length,

and h is the height;

Thus; A = 2( (24× 18) + (12×18) + (12× 24)

            = 2 ( 432 + 216 + 288 )

            = 2 × 936

            = 1,872 sq inches

Therefore, the surface area of the rectangular prism with the given length, width, and height is 1,872 square inches.

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A single sampling plan that meets the consumer's stipulation and comes as close as possible to meeting the producer's stipulation when a sampling plan is desired to have a producer's risk of 0.05 at AQL=1% and a consumer's risk of 0.10 at LQL=5% nonconforming is defined below:

The given specifications are: AQL = 1%Producer's risk (α) = 0.05LQL = 5%Consumer's risk (β) = 0.10The producer's risk (α) is the risk that the manufacturer will pass lots of unacceptable quality, whereas the consumer's risk (β) is the probability that the buyer will accept lots of unacceptable quality. Suppose the acceptance number (c) and rejection number (r) are chosen for a single sampling plan.

The likelihood of accepting lots with a true fraction of nonconforming items p is represented by the operating characteristic (OC) curve or the average outgoing quality (AOQ) curve.

For a given sampling plan, the OC curve is compared to the AQL and LQL lines to determine the producer's and consumer's risks, respectively.

Operating characteristics and average outgoing quality were determined for a single sampling plan using the binomial distribution.

Note: The optimal plan may differ if the costs of acceptance and rejection are unequal.

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Answer:

It will take Shanti 150 square inches of paper to wrap the gifts

Step-by-step explanation:

Shanti wraps the gift she is taking to a friend's birthday party. She doesn't have very much paper, so she does not overlap any of the edges. The side lengths of the cube are all 5in.

How much paper did it take to cover the gift?

Solution

To solve this, you will find the surface area of a cube

Surface area of a cube = 6a^2

Where,

a=side length of the cube

a= 5 in

a^2=a × a

=5 × 5

=25 in^2

a^2=25 in^2

Surface area of a cube = 6a^2

=6 × 25 in^2

=150 in^2

It will take Shanti 150 square inches of paper to wrap the gifts

Answer:

1014

Step-by-step explanation:

I took the test i know

The polynomial function with at least three negative zeros, one of which has multiplicity 2, is f(x) = a(x + 3)(x + 2)^2.

A polynomial function with at least three zeros that are negative, one of which has multiplicity 2 can be written in the following form:

f(x) = a(x - r)(x - s)(x - t)

where a is a constant coefficient, r, s, and t are the zeros of the polynomial function, and one of the zeros (let's say r) has a multiplicity of 2.

Since we want all the zeros to be negative, we can choose any three negative numbers for r, s, and t. Let's choose -3, -2, and -1. Then, we can set r = -3 and s = t = -2, which means that -2 is a double root of the polynomial.

Substituting these values into the equation, we get:

f(x) = a(x + 3)(x + 2)(x + 2)

Simplifying this, we can write it in factored form as:

f(x) = a(x + 3)(x + 2)^2

This is a polynomial function with at least three zeros that are negative, one of which has multiplicity 2.

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