HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answer: 2.44 inches

Step-by-step explanation:

Since the scale on a map of Virginia shows that 1 inch = 45 miles while the actual distance from Richmond, Va, to Washington, D.C., is 110 miles.

The number of inches that are between the two cities will be represented by x. Therefore,

1/x = 45/110

Cross multiply

45x = 110

x = 110/45

x = 2.44 inches

The Distance between the two cities on the map is 2.44 inches

The data file "alum data" contains information on 48 national universities in the United States. It includes three key columns: "% of classes under 20," "student/faculty ratio," and "alumni giving rate." The percentage of classes under 20 represents the proportion of classes offered with fewer than 20 students. The student/faculty ratio indicates the number of students enrolled divided by the total number of faculty members. Lastly, the alumni giving rate reflects the percentage of alumni who made a donation to the university.

To investigate the potential relationship between class size, student-faculty ratio, and alumni giving rate, statistical analysis is necessary. By analyzing the data, correlations can be calculated to determine if any significant associations exist.

Based on the research hypothesis that smaller class sizes and lower student-faculty ratios lead to higher alumni satisfaction and subsequently increased donations, the analysis of the alumni data file can provide valuable insights. By examining the correlations between the variables "% of classes under 20," "student/faculty ratio," and "alumni giving rate," administrators can identify factors that influence the percentage of alumni making donations. These findings can guide the implementation of policies aimed at improving alumni satisfaction, potentially leading to increased revenues for colleges and universities.

To know more about statistical analysis, visit;
https://brainly.com/question/30154483
#SPJ11

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

Know more about the fraction

brainly.com/question/78672

#SPJ1

Based on the information given, it is possible to analyze the effectiveness of the new anxiety medicine. The medicine was formulated to lower anxiety and was prescribed to participants.

The participants were divided into three groups, where 20 received a 10 mg dosage, another 20 received a 20 mg dosage, and the last 20 participants received a placebo.
After three weeks, a questionnaire was administered that measured anxiety on a scale of 1-30. To compare the groups, the mean score of anxiety for each group can be calculated. If the mean score for the group receiving the medicine is significantly lower than the mean score for the placebo group, it can be concluded that the medicine is effective.

Therefore, statistical analysis of the results would be necessary to determine if the new anxiety medicine is effective in lowering anxiety levels.
 Based on the provided information, the study has been formulated to evaluate the effectiveness of the anxiety medicine by comparing three groups of participants: one group receiving a 10 mg dosage, another receiving a 20 mg dosage, and the last group receiving a placebo. To determine if the new anxiety medicine is effective, it's essential to compare the average anxiety scores of each group after the 3-week period. If the scores in the groups receiving the medicine are significantly lower than the placebo group, it could suggest that the anxiety medicine is effective.

To know more about Medicine click here.

brainly.com/question/21486381

#SPJ11

The value of x on solving the given problems are

a. X+7x+10x = 20 x(0) = 5 (0) = 3 ; x= 0

b. 5x+20t + 20x = 28 x(0) = 5 (0) = 8; x = (28=20t)/25

c..f + 16x = 144 x() = 5X(0) = 12; x= (144-f)/16

d.X+6f+34x = 68 x(0) = 5x10) = 7; x= (68-6f)/35

a. To solve for x, we first need to combine like terms: a·X + 7x + 10x = 20x. Simplifying this equation gives us 18x = 20x - we subtracted 7x and 10x from both sides. To isolate x, we need to subtract 20x from both sides as well, giving us -2x = 0. Finally, we divide both sides by -2 to solve for x, which gives us x = 0.
b. Similar to part a, we need to combine like terms first: 5x + 20t + 20x = 28. Simplifying this equation gives us 25x + 20t = 28. To isolate x, we need to subtract 20t from both sides, giving us 25x = 28 - 20t. Finally, we divide both sides by 25 to solve for x, which gives us x = (28 - 20t)/25.
c. To solve for x, we need to isolate it by itself. We can start by subtracting f from both sides: 16x = 144 - f. Finally, we divide both sides by 16 to solve for x, which gives us x = (144 - f)/16.
d. Similar to parts a and b, we need to combine like terms first: x + 6f + 34x = 68. Simplifying this equation gives us 35x + 6f = 68. To isolate x, we need to subtract 6f from both sides, giving us 35x = 68 - 6f. Finally, we divide both sides by 35 to solve for x, which gives us x = (68 - 6f)/35.

To learn more about simplifying, refer:-

https://brainly.com/question/28770219

#SPJ11

Answer:

C

Step-by-step explanation:

Given y = amount of money spend for the long distance plan per month

and x = minutes used each month

Note these 2 plans are in per month basis.

Plan A: Flat $5 + $0.99 Per min used (variable cost)

transform into an equation:

y = 0.99x + 5

Plan B: Flat $10 + $0.79 per min used (variable cost)

transform into equation:

y = 0.79x + 10

Put these 2 equations together, will give you the answer as C.

Answer:

5 acorns, 4 seed pods, and 4 feathers

Step-by-step explanation:

The 20th prize is $4400.

It is a sequence where the difference between each consecutive terms is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

First prize = $12,000

Successive prize worth $400 less than the preceding prize.

Now,

We can make an arithmetic sequence.

12,000, 11,600, 11,200, ...

So,

a = 12,000

d = -400

The nth term of an arithmetic sequence.

= a + (n - 1)d

So,

The 20th prize.

= 12,000 + (20 -1)400

= 12,000 - 19 x 400

= 12,000 - 7600

= 4400

Thus,

20th prize = $4400

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ9

For a function to be continuous at a point, its left and right limits must exist and be equal to the value of the function at that point. In this problem, we need to find the value of k that makes the function f(x) = 7x - 2, x ≤ 1, and f(x) = kx^2, x > 1, continuous at x = 1.

First, we need to find the value of f(1) using the first part of the function:

f(1) = 7(1) - 2 = 5

Next, we need to find the right limit of the function at x = 1:

lim x→1+ f(x) = lim x→1+ kx^2 = k

For the function to be continuous at x = 1, the right limit must be equal to the function value at x = 1:

k = f(1) = 5

Therefore, the value of k that makes the function continuous is k = 5. The function is continuous for x ≤ 1 because it is a linear function and all linear functions are continuous for all real numbers. For x > 1, the function is a quadratic function, which is also continuous for all real numbers. Therefore, the function f(x) is continuous for all x.

For more details about continuous click here:

https://brainly.com/question/24898810#

#SPJ11

If the applied force on the rod is doubled from 2N to 4N while keeping everything else the same, the magnitude of the torque exerted on the rod would also double.

Torque is the rotational equivalent of force and is calculated by multiplying the applied force by the perpendicular distance from the axis of rotation to the line of action of the force. In this scenario, doubling the applied force from 2N to 4N means that there is a greater force acting on the rod.

Since torque is directly proportional to the applied force, doubling the force would result in a proportional increase in torque. This can be understood using the equation for torque, where torque (τ) is equal to the force (F) multiplied by the perpendicular distance (r):

τ = F * r

When the force is doubled, the new torque would be:

τ' = (2F) * r = 2 * (F * r) = 2 * τ

Therefore, the magnitude of the torque exerted on the rod would also double. This indicates that the rotational effect produced by the force is increased, leading to greater rotational acceleration or angular displacement of the rod.

Learn more about rotational effect here:- brainly.com/question/31666689

#SPJ11

Each installment will be approximately $15,280.55.

To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.

Principal amount (P) = $500,000

Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)

Number of periods (n) = 20 (since there are 20 equal six-monthly installments)

The formula for the present value of an annuity is:

\(P = A * (1 - (1 + r)^(-n)) / r\)

Where:

P = Principal amount

A = Equal installment amount

r = Interest rate per period

n = Number of periods

Substituting the given values into the formula, we have:

$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)

Simplifying the equation:

$500,000 = A * (1 - (1.01)^(-20)) / (0.01)

$500,000 = A * (1 - 0.6726) / 0.01

$500,000 = A * 0.3274 / 0.01

$500,000 = A * 32.74

Dividing both sides by 32.74:

A = $500,000 / 32.74

A ≈ $15,280.55

Therefore, each installment will be approximately $15,280.55.

Learn more about Principal amount here:

https://brainly.com/question/30163719

#SPJ11

Answer:

The answer is £775 for hiring a car

The required answer would be the cost of hiring the car in euros is €775.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

In August 2008, Eddie hired a car in Italy. The cost of hiring the car was £620

The exchange rate was £1 = €1.25

We have to determine the cost of hiring the car in euros (€).

According to the given question,

For the required solution, we have to multiply the exchange rate by the cost of hiring the car

The cost of hiring the car in euros (€) = 620 × exchange rate

The cost of hiring the car in euros (€) = 620 ×  €1.25

Apply the multiplication operation to get

The cost of hiring the car in euros (€) = €775

Therefore, the required answer would be the cost of hiring the car in euros is €775.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ2

The total distanced travelled by me is 1086.74 mm approximately.

Use the Pythagorean theorem to calculate the total distance travelled.

The distance is the hypotenuse of a right triangle whose two legs are the lengths of Main Street and Division Street, respectively.

We know that West direction and South direction are in perpendicular direction with each other.

The Pythagorean theorem is used:

Total Distance² = 490² + 970²

Total Distance² = 240100 + 940900

Total Distance² = 1181000

Total Distance = √1181000

Total Distance = 1086.74 [Rounding off to nearest hundredth]

Hence the total distanced travelled by me is 1086.74 mm approximately.

To know more about Pythagorean theorem here

https://brainly.com/question/21926466

#SPJ4

Answer: 20

Step-by-step explanation: She received 1/10 of the party favors, and 1/10 of 200 is 20.

Anna ordered 200 party favors, she received only 1/10 of the party favors

she ordered, i.e., Anna received 20 party favors.

Here, given that, Anna ordered 200 party favors. she received only 1/10 of the party favors she ordered.

Now, we have to find out how many party favors Anna received,

we need to calculate 1/10 of the total number of party favors she ordered.

Anna ordered 200 party favors, and she received only 1/10 of that amount.

As, we know that, 'of' indicates 'multiplication'

so, we have to find 1/10 of 200, so that, we multiply 200 by 1/10:

1/10 * 200

= 200/10

= 20

i.e. She received 1/10 of the party favors, and 1/10 of 200 is 20.    

So, Anna received 20 party favors.

To learn more on division click:

brainly.com/question/21416852

#SPJ7

Random variables can be either discrete or continuous.

Sample spaces need not consist of numbers.  In statistics, we are most often interested in numerical outcomes such as the "count" of an occurrence.  We call X a random variable because its values vary when the phenomenon is repeated.  We use capital letters near the end of the alphabet like X or Y.

A random variable is a variable whose value is a numerical outcome of a random phenomenon.  When a random variable describes a random phenomenon the sample space S just lists the possible values of the random variable.  There are two ways of assigning probabilities to the values of a random variable that will dominate our application of probability as we study statistical inference.

Random variables can be either discrete or continuous.  A discrete random variable X has a "countable number of possible values.  The probability distribution of X lists the values and their probabilities in table form.  The probabilities must satisfy two requirements:

1)  every probability pi is a number between 0 and 1

2) p1 + p2 +,,,+pk = 1.

The probability of any event is found by adding the probabilities pi of the particular values xi that makes up the event.

For more information on random variables click on the link below:

https://brainly.com/question/17217746

#SPJ4

Answer:

\(3\frac{1}{3}\)

Step-by-step explanation:

Find a common denominator and then yeah.

Answer:

3 1/3

Step-by-step explanation:

Well you wanna keep the 3 there but first divided the 2 by the 2 and divided 2 by the 6, so then you will get your answer 3 1/3

Answer:

100

Step-by-step explanation:

(50-45)*20

=5*20

=100

PLEASE GIVE BRAINLIEST

Answer:

Renzi can type 100 more words than Samuel

Step-by-step explanation:

PLZ MARK BRAINLIEST!!!

Answer:

were is the pic I cant answer lik

Answer:

Step-by-step explanation:

Perimeter of square park = 2000 m

4*side = 2000

   side = 2000 ÷ 4

  side = 500 m

Area of square park = side * side

                                 = 500 * 500

                                 = 250000 m²

\(b) a^{m}*a^{n} =a^{m+n}\\\\2^{2}*2^{5} = 2^{2+5} = 2^{7}\)

Answer:

1/14

Step-by-step explanation:

slope = difference of y over difference of x

= (-3-(-4)) /(8 -(-6)) = 1/14

Answer:

120 feet

Step-by-step explanation:

because 60 feet  x2 is 120

The distance between the first and the last tree is 132 feet.

An arithmetic progression(A.P.) is a series, where the difference between consecutive numbers is constant.

The first term of an A.P. is denoted by a, and the common difference is denoted by d.

The nth term of an A.P. series is found using the formula:

aₙ = a + (n-1)d.

The sum of n terms of an A.P. series is found using the formula:

Sₙ = (n/2)(2a + (n-1)d)

We are said that every tree is equally spaced. So the distance between the trees is in arithmetic progression.

With the first tree being at 0 feet from itself, our a = 0.

The distance from the first tree to the sixth tree is 60 feet, so we can say that the 6th term is 60

6th term = a + 5d

or, 60 = 0 + 5d

or, d = 60/5 = 12 feet.

To find the distance between the first tree and the last tree(12th tree), we will find the 12th term of the series,

12th term = a + (12-1)d = 0 + 11(12) = 132 feet.

∴ The distance in feet between the first and last tree is 132 feet.

Learn more about Arithmetic Progression at

https://brainly.com/question/13989292

#SPJ2

Answer:

I think its b:/ srry if I'm wrong

Answer:

37

Step-by-step explanation:

The range is the largest number minus the smallest number

99 is the largest number

62 is the smallest number

99-62

37

The range is the difference between the largest number and the smallest number.

Largest number is 99

Smallest number is 62

Range = 99-62 = 37

The answer is C) 37

Please find attached photograph for your answer.

The equations N1/dt = r1N1[(K1 - N1 - ON2)/K1] and ON2/dt = r2N2[(K2 - N2 - BN1)/K2] describe models for population dynamics. These models are used to understand how populations of organisms change over time, based on factors like birth rates, death rates, and available resources.

In these equations, N1 and N2 represent the population sizes of two interacting species. The variables r1 and r2 are the intrinsic growth rates of these species, or the rates at which they reproduce in the absence of limiting factors. K1 and K2 represent the carrying capacities of the environment for each species, or the maximum population sizes that can be sustained by available resources.
The terms ON2 and BN1 represent the effects of interspecific interactions on population growth. ON2 refers to the negative impact of species 2 on the growth rate of species 1, and BN1 refers to the negative impact of species 1 on the growth rate of species 2. These interactions can take many forms, such as competition for resources or predation.
By manipulating these equations, scientists can make predictions about how populations will change over time, and test these predictions against real-world data. These models are particularly useful for understanding how species interact in complex ecosystems, and how human activities like habitat destruction and climate change are affecting these ecosystems.

for more questions on birth rates

https://brainly.com/question/5874247

#SPJ11

There will be approximately 1,737,424 bacteria after 30 days.

Given that a colony of bacteria grows at a rate of 10% per day and there were 100,000 bacteria on a surface initially.

We are to find out about how many bacteria would be there after 30 days.

To find the number of bacteria after 30 days, we can use the formula given below;

P = P₀(1 + r)ⁿ

where P is the final population, P₀ is the initial population, r is the rate of growth (as a decimal), and n is the number of growth periods (in this case, days).

Now, substituting the given values, we get;

P = 100,000(1 + 0.1)³₀

P ≈ 1,737,424.42

Therefore, there will be approximately 1,737,424 bacteria after 30 days.

A conclusion can be drawn that the growth rate is very high, which means that the bacteria will grow and reproduce rapidly. It is important to keep the surface clean to prevent further bacteria growth.

To know more about number visit

https://brainly.com/question/3058180

#SPJ11

After 30 days, there would be approximately 1,744,900 bacteria on the surface.

To calculate the approximate number of bacteria after 30 days with a growth rate of 10% per day, we can use the exponential growth formula:

N = P * (1 + r)^t

Where:

N is the final number of bacteria,

P is the initial number of bacteria,

r is the growth rate per day (in decimal form),

and t is the number of days.

Given:

P = 100,000 bacteria,

r = 10% = 0.10 (in decimal form),

t = 30 days.

Using these values, we can calculate the approximate number of bacteria after 30 days:

N = 100,000 * (1 + 0.10)^30

Calculating this expression:

N ≈ 100,000 * (1.10)^30

 ≈ 100,000 * 17.449

 ≈ 1,744,900

Therefore, after 30 days, there would be approximately 1,744,900 bacteria on the surface.

To know more about exponential, visit:

https://brainly.com/question/29160729

#SPJ11