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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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## Which of the following angles is in the solution set of sec2θ – 3secθ – 2 = 0 for 0° ≤ θ < 360°

Which of the following angles is in the solution set of sec2θ – 3secθ – 2 = 0 for 0° ≤ θ < 360°

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## A data set contains three points, and two of the residuals are -6 and 12. What is the third residual

A data set contains three points, and two of the residuals are -6 and 12. What is the third residual

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## Karyotypes can be studied to determine an organism’s chromosomal makeup and to detect genetic defects. Turner syndrome occurs when a female has an incomplete set of sex chromosomes. Symptoms of Turner syndrome include swollen hands and feet, short stature, and infertility. Which type of chromosomal mutation is responsible for causing Turner syndrome

Aneuploidy is the type of chromosomal mutation that is responsible for causing Turner syndrome.

Aneuploidy is a type of chromosomal mutation in which there is presence of an abnormal number of chromosomes in a cell. The chromosomes may be incomplete (missing) or excessive (extra). For example, if a human cell had 42 sex chromosomes instead of 46, or it had 48 chromosomes instead of 46, it is said to be anueploidic in nature. Aneuploidy occurs during cell division when there is improper separation of the chromosomes between the two cells. Aneuploidy is responsible for many genetic disorders including Turner syndrome.

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## What value of x is in the solution set of 9(2x + 1)

The answer is:  ” x < -3 ” .
_____________________
Explanation:
_____________________
Given:
______________________
” 9(2x + 1)

First , factor out a “9” in the expression on the right-hand side of the inequality:

9x – 18 = 9(x – 2) ;

and rewrite the inequality:
_____________________
9(2x + 1) < 9(x – 2) ;

Now, divide EACH SIDE of the inequality by “9” ;

[9(2x + 1)] / 9 < [9(x – 2)] / 9 ;

to get:

2x + 1 < x – 2 ;

Now, subtract “x” and add “2” to each side of the inequality:

2x + 1 – x + 2  <  x – 2  – x + 2 ;

to get:

x + 3 < 0 ;

Subtract “3” from EACH SIDE ;

x + 3 – 3 < 0 – 3 ;

to get:

” x < -3 ”  .
____________________________________

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## Which of the following tasks is least effective at preventing a computer virus A. Anti-virus's software up to date B. Anti-virus preforms routine scans C. Anti-virus Software is set to scan your computer Weekly. D. Anti-virus software scans all documents that are downloaded.

Which of the following tasks is least effective at preventing a computer virus A. Anti-virus’s software up to date B. Anti-virus preforms routine scans C. Anti-virus Software is set to scan your computer Weekly. D. Anti-virus software scans all documents that are downloaded.

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## A set of equations is given below: Equation H: y = –x + 2 Equation J: y = 3x – 4 Which of the following steps can be used to find the solution to the set of equations? (4 points) A.–x = 3x – 4 B.–x +2 = 3x C.–x + 2 = 3x – 4 D.–x + 1 = 3x + 2

A set of equations is given below: Equation H: y = –x + 2 Equation J: y = 3x – 4 Which of the following steps can be used to find the solution to the set of equations? (4 points) A.–x = 3x – 4 B.–x +2 = 3x C.–x + 2 = 3x – 4 D.–x + 1 = 3x + 2

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## Consider the following set of equations: Equation M: y = x + 4 Equation P: y = 3x + 6 Which of the following is a step that can be used to find the solution to the set of equations? (4 points) A. x = 3x + 6 B. x + 4 = 3x + 6 C. x + 6 = 3x + 4 D.x = 3x

Consider the following set of equations: Equation M: y = x + 4 Equation P: y = 3x + 6 Which of the following is a step that can be used to find the solution to the set of equations? (4 points) A. x = 3x + 6 B. x + 4 = 3x + 6 C. x + 6 = 3x + 4 D.x = 3x

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## Find the outlier on the set of data. 24, 21, 13, 11, 19, 34, 23, 17 i know this question was already asked before but the dumb website won't let me view it again

Find the outlier on the set of data. 24, 21, 13, 11, 19, 34, 23, 17 i know this question was already asked before but the dumb website won’t let me view it again

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## What is the solution set for 4<2x+10<18

What is the solution set for 4<2x+10<18

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## What is the solution set for the open sentence with the given replacement set? 3x + 4 = 19, {4, 5, 6, 7}

What is the solution set for the open sentence with the given replacement set? 3x + 4 = 19, {4, 5, 6, 7}

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## What is the solution set for the open sentence with the given replacement set? x2 + 2 = x + 8, {1, 3, 4, 5}

What is the solution set for the open sentence with the given replacement set? x2 + 2 = x + 8, {1, 3, 4, 5}

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## Which of the following graphs would represent the solution set for y > 4/5 x – 1?

Which of the following graphs would represent the solution set for y > 4/5 x – 1?

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## set of coordinates, when paired with (-3, -2) and (-5, -2), result in a square

set of coordinates, when paired with (-3, -2) and (-5, -2), result in a square

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## A set of organized beliefs that is often centered around one or more deities is referred to as __________. A. ethnicity B. tolerance C. dialect D. religion

A set of organized beliefs that is often centered around one or more deities is referred to as __________. A. ethnicity B. tolerance C. dialect D. religion

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## Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? Determine the solution set algebraically. (–1, –17) (1, –27) (–1, –17) and (1, –27) no solutions

No solutions

Step-by-step explanation:

We have been given the system of equations

Substituting the values y from (2) in (1)

Let us find the discriminant of this quadratic equation

Since, D is negative. Hence, there will not be any real zeros.

It means we’ll not get any real values for x.

Therefore, there is no solution for the given system of equations.

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## What happened when Charles X tried to set up an absolute monarchy in France

What happened when Charles X tried to set up an absolute monarchy in France

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## Kim's route from her front door to the mailbox, the swing set, and back to the front door forms a triangle. Two legs of the triangle are 245 feet long and they meet at an angle of 38°. How long is the entire route?

Kim’s route from her front door to the mailbox, the swing set, and back to the front door forms a triangle. Two legs of the triangle are 245 feet long and they meet at an angle of 38°. How long is the entire route?

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## List the set of all even numbers between 2 and 10, inclusive.

List the set of all even numbers between 2 and 10, inclusive.

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## Where does sun set in northern hemisphere?

in the northern hemisphere sunset is always somewhere along the western horizon. This is because Earth rotates from west to east, causing the sky and everything in it to scroll past us over our heads from east to west.

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## If Denise wanted to create a function that modeled an exponential function with base of 12 and what exponents were needed to reach specific values, how would she set up her function? f(x) = x12 f(x) = log12x f(x) = 12x f(x) = logx12

Denise creates the exponential function

assume she want to find for what value of x, her function reaches the value, 3, or 8.2, or any value a (larger than 0)

so she shants to solve    (“for what value of x, is 12 to the power of x equal to a?”)

this expression is equivalent to

(so 12 to the power of x is a, for x=)

we can generalize this result by creating a function f.

In this function we enter x, the specific value we want to reach. f will calculate the exponent needed, in the following way:

(example: we want to calculate at which value is equal to 5?

check:, which is true, by properties of logarithms)

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## Read the excerpt from Early Victorian Tea Set. Among the upper classes, tea had been popular since before 1700. It received celebrity endorsement from Charles II’s queen, Catherine of Braganza, and from Queen Anne. It came from China, it was expensive, refreshingly bitter and drunk in tiny cups without milk or sugar. People kept their tea in locked tea caddies, as if it were a drug; for those who could afford it, it often was. In the 1750s Samuel Johnson confessed himself a happy addict: A hardened and shameless tea drinker, who has for twenty years diluted his meals with only the infusion of this fascinating plant, whose kettle scarcely has time to cool, who with Tea amuses the evening, with Tea solaces the midnights, and with Tea welcomes the morning. MacGregor’s main purpose in providing the quote is to

The correct answer to this is letter:

D. He quotes the cries of the
spectators and the Viewpoint of Eisenhower, all of which were critical of the
attack on the Bonus Army

The bonus army was a group of veterans, their affiliates and
families who protested for help during the Great Depression.  The economic hardship they experienced caused
them to ask for the WW1 bonus checks earlier than the law specified.

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## For more than 200 years the united states has relied in its constitution to set the laws of society, determine the functions of the government, and protect the liberties of the people. Many nations around the world have based their own constitutions on the US Constitution

Noninvolvement in world affairs is termed “isolationism”.

Explanation:

Isolationism is a concept that designates a political inclination that defends the isolation and nonintervention of a country in international conjunctural issues. That is, putting it in simpler terms, isolationism proposes that a country does not intervene in any way in an external conflict that afflicts another nation or group of nations so that it does not end up affecting their interests.

Basically, isolationism causes that the country that adopts this position is totally isolated from everything that happens in the rest of the world so that nothing affects it in its possible benefits.

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## Find the sample standard deviation and the population standard deviation of the data set. 70, 58, 70, 37, 58, 47, 58, 76, 77, 67, 66, 77, 33, 74, 57

Employee                                 Mary      Zoe         Greg         Ann           Tom

Cumulative Pay                       \$6,800   \$10,500  \$8,400    \$66,000   \$4,700

Pay subject to FICA S.S.         \$421.60  \$651.00  \$520.80 \$4092.00 \$291.40
6.2%, (First \$118,000)

Pay subject to FICA Medicare \$98.60 \$152.25    \$121.80    \$957.00    \$68.15
1.45% of gross

Pay subject to FUTA Taxes      \$40.80  \$63.00     \$50.40    \$396.00  \$28.20
0.6%

Pay subject to SUTA Taxes   \$367.20  \$567.00  \$453.60  \$3564.00 \$253.80
5.4% (First \$7000)

Totals                                     \$928.20 \$1,433.25 \$1,146.60 \$9,009.00 \$641.55