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## The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1 Create a dot plot to represent the data. What can you conclude about the dot plot of the data set? Check all that apply. The range of the number line should be 0 to 7 to represent the frequency. Four families said they ate out twice the previous week. One family said they ate out 5 times the previous week. The data set is symmetrical. The median best represents the data set.

The correct options are:

• Four families said they ate out twice the previous week.
• One family said they ate out 5 times the previous week.
• The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families

0                                                          2

1                                                           3

2                                                          4

3                                                           1

4                                                           2

5                                                           1

6                                                            1

• Hence, the range of the number line is between 0 to 6.
• Also there are 4 dots above 2.

Hence,  Four families said they ate out twice the previous week.

• Also there is one dot above 5.

Hence,  One family said they ate out 5 times the previous week.

• The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

• Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

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## For a mass hanging from a spring, the maximum displacement the spring is stretched or compressed from its equilibrium position is the system’s a. amplitude. c. frequency. b. period. d. acceleration

For a mass hanging from a spring, the maximum displacement the spring is stretched or compressed from its equilibrium position is the system’s a. amplitude. c. frequency. b. period. d. acceleration

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## How to calculate angular frequency from acceleration?

How to calculate angular frequency from acceleration?

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## The second harmonic of a guitar string has a frequency of 120 hz. what is the length of the guitar string if the speed of the waves on the string is 110 m/s?

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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## ?among pitch theories, place theory best explains _______ frequency sounds, frequency theory best explains ______ frequency sounds, and volley principle best explains ______ frequency sounds.

It is called SAFETY. According to Maslow’s hierarchy of
needs (a motivational theory covering a five level model of human needs), humans
need safety. It includes protection from elements, security, order, law,
stability, freedom from fear. Safety needs is considered as basic needs along
with the physiological needs.

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## A certain string on a piano is tuned to produce middle c (f = 261.63 hz) by carefully adjusting the tension in the string. for a fixed wavelength, what is the frequency when this tension is tripled?

1) Water has very high specific heat.

2) It expands when it freezes

3) ability to dissolve in ionic substances

4) Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid.

Explanation:

1) Water molecules due to their high specific heat , undergo relatively less increase in temperature after absorbing heat. So they prevent their adjoining area to experience sharp increase in temperature.

2) Water is an example which expands on freezing. In it , large spaces are left between molecules when it cools. It happens because hydrogen bonds prevent any two molecules to come very close thereby  creating gaps. This gap is filled up when ice melts , which results in overall reduction in volume of water.

3) Uneven distribution of charge results in water molecules becoming polar in nature . A polar substance  can be dissolved in polar solvents only.

4) It is due to property of surface tension. Property  of surface tension results due to molecules of water near the surface experiencing a  net downward  force due to hydrogen bonds . It is due to fewer hydrogen bonds made by them.

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## A random change in allele frequency is called __________. genetic drift stabilizing selection directional selection natural selection

A random change in allele frequency is called __________. genetic drift stabilizing selection directional selection natural selection

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## A continuous random variable is a random variable that can: ?assume any value in one or more intervals ?assume no continuous random frequency ?have no random sample ?assume only a countable set of values

False

Step-by-step explanation:

Suposse that we are given a function f(x) and a constant value h.

1. Case:

If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down.

2.Case:

If we take the function g(x)=hf(x), then the graph of the function g(x) will be the graph of the function f(x) just taller or shorter.

3.Case:

If we take the function g(x)=f(x-h), then the graph of the function g(x) will be the graph of the fuction f(x) moved horizontally.

4. Case:

If we take the function g(x)=f(hx), then the graph of the function g(x) will be tha graph of the function f(x) wither or thiner.

For example:

If we take f(x)=sin(x) and h=2. Then, if we take g(x)=sin(2x) then f(0)=g(0)=0, which means that the graph of the functiction is not moved up or down. However, f(π/2)=sin(π/2)=1 and g(π/2)=sin(π)=0 which gives us a hint that the graph of the function became thiner.

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## (01.08 LC)What is generally a safe frequency of activity for a workout?

Some sport activities you can engage in include: swimming, running, walking, dancing , cycling skipping, different kind of ball games and jumping. Physical activity improve physical health by strengthening the heart muscles, lowering the blood pressure, raising the level of good cholesterol in your body, increasing blood flow, etc. All these work together to reduce the risks of having diseases such as heart attack, high blood pressure, stroke, etc. Emotionally, physical activity promotes improve mood and mental health.

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## (01.08 LC)What is generally a safe frequency of activity for a workout? Once a week Once or twice a week Three times a week Three to five times a week

A) Increase his activity and exercise levels and add more calories to gradually gain weight

B) Increase his activity and exercise levels and eat the same number of calories to gradually gain weight

C) Increase his snacks to two or three per day until he reaches his target weight

D) Increase his calories consumed and do less activity and exercise until he reaches his target weight

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## A change in a sequence of DNA bases in a bacterial cell has resulted in a mutation. This mutation has increased the ability of the bacteria to break down and digest organic molecules in the environment. Bacteria with this mutation are better able to find and utilize food sources. According to the theory of natural selection, what is MOST likely to occur in future generations of this bacteria? A) The relative frequency of the mutation will increase as time passes. B) Because the mutation has changed the DNA of the bacteria, a new species will be formed. C) Because the mutation is abnormal, the mutation will become more rare with every passing generation. D) Bacteria with the mutation will increase in number until the food supply is exhausted, causing the bacteria to become extinct.

The correct answer would be B. CO, which comes from fossil fuel–powered engines, such as cars.

As the name suggests the primary pollutant is defined as the pollutant emitted directly from the source. For example, carbon monoxide which is produced due to incomplete combustion is emitted directly from cars, buses et cetera.

In contrast, secondary pollutant refers to the pollutant which is formed after reacting with other pollutants in the atmosphere. For example, nitrogen dioxide which is formed when NO reacts with oxygen, acid rain which is formed when nitrogen dioxide and sulfur dioxide reacts with water present in atmosphere et cetera.

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## For which distribution is the median the best measure of center? uniform normal skewed left frequency

For which distribution is the median the best measure of center? uniform normal skewed left frequency

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## Ellen claims she has a coin that is weighted so that the probability of heads is 70%. To test this, Ellen flips the coin 100 times and calculates the relative frequency of each outcome. Outcome Heads Tails Relative Frequency 0.69 0.31 Which statements about Ellen’s experiment are true? Select each correct answer. The relative frequency of heads is very different from 70%. Ellen’s claim about the theoretical probability of heads is likely to be false. The theoretical probability of tails is most likely 30%. It is likely that the coin is not fair.

Hey there!

I would say that the answer is D.

A is not true, since the mountain lion doesn’t predate on the owl. Therefore, the lion will not be affected by the removal of the owl.

B is not true either, since the sparrow and rabbit will still be the prey of the fox and the hawk. The population will most likely stay about the same in these two species in this ecosystem.

C isn’t necessarily true either. The removal of the owl will have some sort of effect on the ecosystem, but likely won’t affect the amount that the fox and the hawk usually eat.

That leaves D. If there’s more resources that birds use after the owl is removed, the hawk will most likely reproduce more and the population will grow. The other populations might not, since animals like foxes don’t use the same resources that the birds do.

Hope this helped you out! 🙂

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## Which describes a relationship when calculating the energy of a photon? The energy of the photon is directly proportional to frequency. The energy of the photon is inversely proportional to frequency. As the energy of the photon increases, Planck’s constant increases. As the energy of the photon increases, Planck’s constant decreases.

Which describes a relationship when calculating the energy of a photon? The energy of the photon is directly proportional to frequency. The energy of the photon is inversely proportional to frequency. As the energy of the photon increases, Planck’s constant increases. As the energy of the photon increases, Planck’s constant decreases.

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## Complete the two-way frequency table below, which shows the relationship between a person’s gender and whether he or she wears his or her favorite sports team’s jersey to sporting events. From a sample of 70 people entering a sports venue, it is found that there are 26 females, 45 people wearing a team jersey, and 17 females not wearing a team jersey. Team Jersey No Team Jersey Total Female 17 26 Male Total 45 70 What is the probability (rounded to the nearest whole percent) that a person entering a sports venue will be a male given that he or she is wearing a team jersey? Are the events being male and wearing a team jersey independent? A. 80%; they are independent B. 80%; they are not independent C. 82%; they are not independent D. 51%; they are independent

Compound growth formula is given as:

Where,

• P is the future value after some time
• is the initial deposit
• r is the annual rate of interest
• n is the number of time compounding happens ( n = 1 for annual compounding, n = 2 for semi-annual compounding, n = 4 for quarterly compounding etc.)
• t is time in years

Given is P = \$21,500, r = 6% or 0.06, n = 2 (since semi-annual compounding), and t is 6.

Putting all these into formula and solving for P gives us Sam’s balance at end of 6 years.

Sam will have \$30,653.86 at end of 6 years in his account.

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## _____ is related to the energy of a wave. ( Fill In The Blank ) A) diffraction B) amplitude C) frequency D) refraction

_____ is related to the energy of a wave. ( Fill In The Blank ) A) diffraction B) amplitude C) frequency D) refraction

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## Electromagnetic waves differ in A. frequency B. wavelength C. both frequency and wavelength D. neither frequency nor wavelength

Electromagnetic waves differ in A. frequency B. wavelength C. both frequency and wavelength D. neither frequency nor wavelength

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## The frequency table below shows the hourly wages of 22 factory workers. How many are paid \$10.50 per hour or more?

10 hours

Step-by-step explanation:

Let us suppose the number of hours that Jorge was charged for that month was x hours.

Now, service provider charges \$1 for each hour that the service is used.

Thus, amount for using x hours should be 1x = \$x

now, the base rate is \$15 per month. Hence, total cost should be x + 15

Now, it has been given that Jorge’s monthly bill from his Internet service provider was \$25.

Therefore, we have the equation

x + 15 = 25

Subtract 15 to both sides

x = 25 – 15

x = 10

Thus, Jorge was charged for 10 hours.

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## If a photon has a frequency of 1.15 × 1015 hertz, what is the energy of the photon? Given: Planck’s constant is 6.63 × 10-34 joule·seconds.

Potential energy is associated with height ie PE = mgh
Kinetic energy is associated with velocity ie KE = 1/2 m v^2
Total energy is sum of potential and kinetic energies ie TE = PE + KE

Now as a pendulum swings ,It has certain energy associated with it.This energy content, that is the total mechanical energy, is constant as long as the pendulum swings in no friction condition.This TE is the sum of PE and KE .

Now considering the lowest point of pendulum bob as reference

**At the lowest point PE is zero because,h is zero.So the only energy present is KE and it is maximum because,velocity is maximum at lowest point.Again as the total energy is constant, so
TE = KE (PE is zero)

**At the highest point velocity is zero ,so KE is zero.And at the highest point h is maximum,so only PE is present and it is maximum,So TE
TE = PE (KE is zero)

**At a point between the highest and lowest,both KE and PE are present and the TE is given by
TE = KE + PE