The greatest common factor of 48 and z, some unknown positive integer, is 12. There are two possible values for z between 10 and 30. What is the difference between these two values?.

Answers

Answer 1

The greatest common factor being 12, the difference between the two values is 12.

What is GCD?

The greatest common divisor (GCD) from mathematics is the largest positive integer that splits each of two or more non-zero integers.

The symbol gcd stands for the greatest common divisor of the two integers x and y.

For instance, gcd(8,12)=4 is the GCD of the numbers 8 and 12.

According to the given question:

The greatest common factor of 48 and z, some unknown positive integer, is 12. There are two possible values for z between 10 and 30.

Now there are only two numbers between 10 and 30 which has a factor of 12.

The numbers are 12 and 24.

Hence the difference between these two numbers is 24 - 12 = 12

Therefore the required value is 12.

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Related Questions

The dimensions of a box have been doubled. How many times greater is the volume of the box?

8, 6, 4, or 2

Answers

Answer:

The volume increases 8-fold or by 700%.

Step-by-step explanation:

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Help help help help help I will give 20 points ​

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Answer:

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what is the probability of rolling a die ten times and obtaining odd digits on eight or less of the rolls?

Answers

The probability of rolling a die 10 times and obtaining odd digit 8 or less of the rolls is 529/512 = 1.033

Let us call, getting an odd no. on a roll of die, Success.

The, clearly, the probability p of Success is 3/6 = 1/2.

Hence, q = 1 −p = 1/2

If, X = x denotes the no. of success in n trials, then, X is a

Binomial Random Variable, with parameters

n = 10, and, p = 1/2.

Binomial Random Variable:

This is a specific type of discrete random variable. A binomial random variable counts how often a particular event occurs in a fixed number of tries or trials. For a variable to be a binomial random variable, ALL of the following conditions must be met:

There are a fixed number of trials (a fixed sample size).On each trial, the event of interest either occurs or does not.The probability of occurrence (or not) is the same on each trial.Trials are independent of one another.

Then, the Probability of x success out of n trials, i.e.,

P (X = x), is,

P (X = x) = p(x) =ⁿCₓ pˣ , qⁿ⁻ˣ, x = 0,1,2, ........, n

In our case,

P (X = x) = ¹⁰Cₓ (1/2)ˣ (1/2)¹⁰⁻ˣ ,x = 0,1,2,..., 10, i.e.,

P (X = x) = p(x) = ¹⁰Cₓ (1/2)¹⁰ = ¹⁰Cₓ /1024, x = 0, 1, ..., 10.

Hence,

The Required Probability = P( X< 8),

⇒ P (X = 0)+ P( X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) +P(X = 6) +  P(X= 7) +  P(X =8)

⇒ 1/1024 ( 1 + 10 + 45 + 120 +210 + 252 + 210 + 120 +90)

⇒ 1/1024 ×1058

⇒ 529 / 512

⇒ 1.033

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the base of a right triangle is 6 and the perpendicular height is 8, what is the length of a hypotenuse

Answers

The length of hypotenuse is 10. It can be obtained by using Pythagorean Theorem.

What is Pythagorean theorem?

It is a theorem which gives the relationship between the length of base, perpendicular height, and hypotonus. This relationship is valid only for a right angled triangle.

The length of hypotenuse is given by the following formula:

[tex]h=\sqrt{b^2+p^2}[/tex]

Here, h is the length of hypotenuse, b is the length of base, and p is the length of perpendicular.

Substitute 6 for b and 8 for p in the above equation.

[tex]h=\sqrt{6^2+8^2}\\=\sqrt{36+64}[/tex]

Now, take the square root of 100.

[tex]h=\sqrt{100}\\=10[/tex]

Hence, the length of hypotenuse is 10.

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identify the type i error and the type ii error that corresponds to the given hypothesis. the proportion of people who write with their left hand is equal to 0.29 .

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Type I error is:

" Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29 "

Type II error is:

"Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29 "

What is proportion?

An equation in which two ratios are made equal is called a proportion. For instance, you could write the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

In Statistics, a  type I error is the rejection of a true null hypothesis

and  a type II error is the non-rejection of a false null hypothesis

Given that p = 0.29 is accepted

Now type I error is

C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

i.e. (false positive)

and type II error here is

B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.

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at a deli counter, there are 9 sandwiches with meat and 10 vegetarian sandwiches. dante is at the counter buying sandwiches for a picnic. in how many ways can he choose 9 sandwiches if 8 or more must be vegetarian sandwiches?

Answers

There are two different ways in which he can choose 9 sandwitches. It can be solve by the concept of permutation and combination.

What is permutation and combination?

A permutation is an arrangement of several items taken one at a time or all at once in a specific order.

Combinations are based entirely on grouping. Combinations can be used to determine how many different groups that can be created from the available items.

Since all vegitarian sandwiches looks like same and all sandwitches with meat looks like same hence, their order will not affect the number of choice.

If 8 sandwitches are vegitarian then 1 sandwitch must be with meat. So that total sandwithches becomes 9.

If all 9 sindwitches are vegetarian then there is no option to choose another sandwitch. Because he can choose only 9 sandwitches.

Hence, there are two different ways in which he can choose 9 sandwitches.

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You make a total of 16 two-point and three-point shots in a basketball game. You score a total of 35 points. Which system can be used to find the number p of two-point shots and the number q of three-point shots you make? Responses p+q=35 2p+3q=16 p plus q is equal to 35, , 2 p plus 3 q is equal to 16, p+q=16

Answers

2p+3q=16 and p+q=35 are system of equations used to find the number p of two-point shots and the number q of three-point shots you make

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We need to find the number p of two-point shots and the number q of three-point shots you make.

a total of 16 two-point and three-point shots in a basketball game.

2p+3q=16

Total score is of 35 points.

p+q=35

These two equations 2p+3q=16 and p+q=35 can be used to find the  number p of two-point shots and the number q of three-point shots you make.

Hence, 2p+3q=16 and p+q=35 are system of equations used to find the number p of two-point shots and the number q of three-point shots you make

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The value of a brand new car is $ 40 , 000 $40,000 and the value depreciates 19% every year. Write a function to represent the value of the car after t t years, where the quarterly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per quarter, to the nearest hundredth of a percent

Answers

Answer:

Function: V(t) = 40,000(0.81^(4t))

Quarterly rate of change: -19.00%

if n people of different heights are lined up in a queue, what is the probability that at least one person is just behind a taller person?

Answers

Probability of at least one people behind taller person = n-1/n.

From the question, we have

n people of different heights are lined up in a queue

Probability of at least one people behind taller person = 1 - 1/n =n-1/n

Probability:

The term probability refers to possibility. The occurrence of a random event is the focus of this mathematical field. There is a 0 to 1 value range. To determine the possibility of certain events, probability has been employed in mathematics. The likelihood of anything happening is often referred to as probability. You can better understand the outcomes of a random experiment by applying this fundamental theory of probability, which also holds true for the probability distribution. Utilize probability to gauge a situation's likelihood of happening. Numerous factors are difficult to forecast with absolute precision. Using it, we can only speculate on whether or how likely it is that an event will occur.

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Data Island is a beautiful beach resort. It has been a premier touristic destination for over 80 years, and the earliest holiday homes have been built just a few steps away from the beach itself. You work for a real estate agency that sells and rents holiday homes in Data Islands. Recently, one of the interns working on the Data Science Team presents you a report. According to the linear regression model they have run, the price of a house is proportional to its age. But this does not make any sense: after all, newer houses should be worth more.
1. Comment the regression output, noticing that the Sig. column is reporting the p-value of the coefficient. What can you tell about the sign of Age’s slope?
2. Why do you think the model forecasts an higher price for old holiday homes? Think carefully about all the information you have concerning Data Island.
3. Assuming that more data and variables are available, what would you suggest your intern to do to fix their report?

Answers

A lovely beach resort is Data Island. Since it first became a popular tourist destination more than 80 years ago, the earliest vacation homes have been constructed just a few steps from the beach. You are a real estate agent for a company that deals in vacation rentals and sales in the Data Islands. A report was recently presented to you by one of the interns on the data science team. The age of a house affects its price, according to the linear regression model they have ran. But this is absurd because newer homes ought to be more valuable.

1.  As the coefficient of Age is positive, so the older the house, the more price it is. Sig. (or p-value) = 0.000 which implies  that the co-efficient of Age is significant.

2.  This may be that the people who live there are reluctant to sell it, so they quote a higher price or the size of old houses are large or they may be located at prime location.

3.  We would ask new interns to consider other independent variables for the regression equation like size of house, location, etc.

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suppose that a random sample of 25 measurements is selected from a population with mean 70 and standard deviation 10. what is the mean and standard deviation of the sampling distribution of the sample mean?

Answers

The mean and standard deviation of the sampling distribution is 70 and 2 respectively.

Given a random sample of 25 measurements means

n = 25.

Population with mean(µ)  70 means

µ = 70.

Population with standard deviation(σ) 10 means

σ = 10.

mean of sampling distribution is itself same as mean of population

so mean of sampling distribution is 70.

standard deviation of sampling distribution is

σ/[tex]\sqrt{n}[/tex].

put the value of σ= 10 and n =25.

10/[tex]\sqrt{25}[/tex] = 10/5 = 2

So mean of sampling distribution is 70 and standard deviation of sampling distribution is 2.

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C. If this is Thursday, then I do not go to church.
Converse:
Inverse:
Contrapositive:

Answers

Converse: if i dont go to church, then it is Thursday
Inverse: if this is not a Thursday, then i go to church
Contrapositive: if i go to church, then it is not Thursday

Find the values of the variables in each parallelogram

Answers

Adjacent angles of a parallelogram are supplementary.

[tex]x+2x=180 \\ \\ 3x=180 \\ \\ x=\boxed{60}[/tex]

Which fraction is equivalent ?

Answers

Answer:

Option A

Step-by-step explanation:

→ Simplify all the options

a. 5/6 and b is 2/3

the mean score of 888 players in a basketball game was 14.514.514, point, 5 points. if the highest individual score is removed, the mean score of the remaining 777 players becomes 121212 points. what was the highest score?

Answers

The highest score is 32 points.

Given,

Mean score of 8 players =14.5

After removing highest score then,

Mean score of 7 players =12

let

the sum of all score be 'x'

highest score be 'y'

At first,

[tex]Mean=\frac{sum\ of\ all\ scores}{total\ number\ of\ scores}\\\\14.5=\frac{x}{8}\\\\x=116[/tex]

after removing the highest score, mean  will be

[tex]Mean=\frac{sum\ of\ all\ scores-highest\ score}{number\ of\ scores}\\\\12=\frac{x-y}{7}\\\\x-y=84[/tex]

substituting 'x'

[tex]116-y=84\\\\116-84=y\\\\y=32[/tex]

Thus, the highest score is 32 points.

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Simplify the expression to a polynomial in standard form: (x-1)(3x^2+7x+5) (x−1)(3x 2 +7x+5)

Answers

The standard form for the given expression is 3x³ - 3x² - 2x - 5.

How to write a polynomial in standard form?

A polynomial can be written in standard form by writing its terms in descending order of their powers and the constant terms comes at the end.

The given polynomial is (x - 1)(3x² + 7x + 5).

It can be written in standard form as follows,

(x - 1)(3x² + 7x + 5)

= x(3x² + 7x + 5) - 1(3x² + 7x + 5)

= 3x³ + 7x² + 5x - 3x² - 7x - 5

= 3x³ - 3x² - 2x - 5

Hence, the given expression can be written in standard form as,

3x³ - 3x² - 2x - 5

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y+5-1/3x=7 find y and then x to find the corresponding values

Answers

Answer:

y+5-1/3x=7 find y and then x to find the corresponding values

y = 5 - 1/3x + 7

y = 5 - 1/3(x) + 7

y = 5 - (1/3)x + 7

y = (5 - 1/3x) + 7

y = (5 + 7) - (1/3)x

y = 12 - (1/3)x

For y = 12,

12 - (1/3)x = 12

(1/3)x = 0

x = 0

Therefore, when y = 12, x = 0.

dominic has a family history of hypertension. according to the chronic disease risk reduction intakes (cdrr) for sodium, dominic should lower or maintain his sodium intake to below mg/day to reduce his risk of chronic disease, including hypertension

Answers

Dominic should lower or maintain his sodium intake to below 2,300 mg/day.

Chronic disease :

The Chronic Disease Risk Reduction (CDRR) consumption of 2,300 mg/day was recently developed due to connections between high sodium intake and the risk of hypertension. It is anticipated that sodium intake below this level will lower the risk of chronic diseases.

Adults may be at risk for chronic diseases if their sodium intake exceeds their CDRR intake. The population's cardiovascular health may be improved by efforts to reduce sodium consumption. Among healthy individuals, lowering daily sodium intake to CDRR is anticipated to lower the risk of developing chronic diseases, primarily by lowering blood pressure.

Hence, sodium intake to below 2,300 mg/day can reduce his risk of chronic disease.

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Need help asap now please!!!!!!!!

Answers

Answer:

C. 150

Step-by-step explanation:

Divide 1,350 by 9, which gives you 150 (with no remainders)

Answer:

150

Step-by-step explanation:

1350 divided by 9

I need help trying to find the area of this triangle please help.

Answers

Answer:

  28 ft²

Step-by-step explanation:

You want the area of a triangle with a base of 7' and a height of 8'.

Area formula

The formula for the area of a triangle is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height perpendicular to the base.

Here, it is convenient to use the side marked 7' as the base of the triangle. The distance marked 8' is the perpendicular distance from the base to the top of the triangle. So, the area is ...

  A = 1/2(7 ft)(8 ft) = 28 ft²

The area of the triangle is 28 square feet.

__

Additional comment

As you can see, the vertex opposite the base does not need to lie above the base segment. All that matters is the perpendicular distance from that vertex to the base line.

in a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. if 10 boys and 14 girls are competing, how many different ways could the six medals possibly be given out?

Answers

answer: 72 or 1572480 depends on how you do the math

If 5x + 2 = 7x - 7, then x =

Answers

Answer:

if 5x + 2 = 7x - 7 then the answer is x = 9/2.

2x = 9 then divide you going to get a decimal

samantha is considering job offers from two companies. company a offered her a starting salary of $48,000 with a $2100 raise at the end of each year. company b offered her a starting salary of $48,000 with a 3.7% raise at the end of each year.
Let f(t) represent Rosa's salary at Company A, t years after accepting a position at Company A, and let g(t) represent Rosa's salary at Company B t years after accepting a position at Company B.
Complete the table of values below:
t f(t) g(t)
0 50000 50000
1
2
3

Answers

The value of f(t) are 48000, 52200, 54300, 56400, and g(t) are 48000, 49776, 51617.71, and 53527.56.

She was given a starting wage of $48,000 from Company A, with annual raises of $2100.

The formula for Company A is

f(t) = 48000 + 2100t

She was given a starting wage of $48,000 from Company B, with an annual rise of 3.7%.

The formula for Company B is

g(t) = 48000 × [tex](1 + 0.037)^t[/tex]

The value of f(t) and g(t),

t ------- f(t) ------- g(t)

0 ----- 48000 ----- 48000

1 ------ 52200 ----- 49776

2 ----- 54300 ----- 51617.71

3 ----- 56400 ----- 53527.56

The graphical representation of both the linear equations of company A and company B.

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a robotic machine fills containers with an acid solution at the rate of 140 3 t milliliters ( ml ) per second, where t is in seconds and 0 ≤ t ≤ 60 . how many ml are put into a container in 60 seconds? round to the nearest whole number.

Answers

The container put 320 ml amount of the acid in 60 seconds.

Given, a robotic machine fills containers with an acid solution at the rate of 140 + 3t milliliters ( ml ) per second, where t is in seconds and 0 ≤ t ≤ 60 .

we have to find the amount of acid solution put into the container in 60 sec

As, Amount of acid be A(t)

A(t) = 140 + 3t

A(60) = 140 + 3(60)

A(60) = 140 + 180

A(60) = 320

So, the container put 320 ml amount of the acid in 60 seconds.

Hence, the container put 320 ml amount of the acid in 60 seconds.

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Identify the expression or expressions equivalent to -5 + 4(-3x+6) -4x

Answers

The equivalent expression of -5 + 4(-3x+6) -4x is -29 - 16x

How to determine the equivalent expression?

From the question, we have the following parameters that can be used in our computation:

-5 + 4(-3x+6) -4x

Open the bracket in the above expression

This gives

-5 + 4(-3x+6) -4x = -5 - 12x - 24 -4x

Collect the like terms in the above expression

This gives

-5 + 4(-3x+6) -4x = -5 - 24 - 12x  -4x

Evaluate the like terms in the above expression

This gives

-5 + 4(-3x+6) -4x = -29 - 16x

Hence, the equivalent expression is -29 - 16x

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The following inequalities form a system. y is greater than or equal to two-thirds times x plus 1 y is less than negative one-fourth times x plus 2 Which ordered pair is included in the solution to this system? (−6, 3.5) (−6, −3) (−4, 3) (−4, 4)

Answers

The inequalities are y ≥ (2/3)x + 1 and y < (-1/4)x + 2 and (−6, −3) satisfied the inequality.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given phrase,

y is greater than or equal to two-thirds times x plus 1 ⇒ y ≥ (2/3)x + 1

y is less than negative one-fourth times x plus 2 ⇒ y < (-1/4)x + 2

Substitute, point (−6, −3)

-3 ≥ (2/3)(-6) + 1

-3 ≥ -3  

Substitute in second inequality,

-3 < (-1/4)(-6) + 2

-3 < 7/2

Hence "The inequalities are y ≥ (2/3)x + 1 and y < (-1/4)x + 2 and (−6, −3) satisfied the inequality".

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one sample has n = 8 scores and m = 2. a second sample has n = 4 and m = 8. if the two samples are combined, then what is the mean for the combined sample?

Answers

The combined sample mean for sample one, whose size equals 8 scores and mean equals 2, and for sample second, whose size equals 4 scores and mean equals 8, is 4..

A combined sample mean is calculated by taking the mean of each group and combining (adding) the results of each average.

We have given that,

For First sample :

Sample size ,n₁ = 8 scores

sample mean, m₁ or X₁-bar = 2

Sample 2 :

Sample size, n₂ = 4

sample mean , m₂ or X₂-bar = 8

Combined sample mean is given by,

M or X-bar =( n× x-bar + n × x-bar)/(n+n)

plug all the known values in above formula

=> M = (8×2 + 4×8 )/12

=> M = 48/12 = 4

Hence, combined sample mean is 4 .

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x + 2y = -6
6x +2y =4

Answers

Step-by-step explanation:

um, I'm going to use elimination method to solve this simultaneous equation

x+2y=-6.......... equation 1

6x+2y=4........ equation 2

subtract equation 2 from equation 1

-5x = -10

x = -10/-5

x=2

substitute x=2 in equation 1

therefore equation 1 becomes

2+2y=-6

2y=-6-2

2y=-8

y=-8/2

y=-4

What type of variable is required to construct a confidence interval for a population​ proportion?.

Answers

The type of variable required is Qualitative with two possible outcomes.

What is a confidence interval?

An estimate level of uncertainty is expressed by a range of values known as a confidence interval.

Keeping in mind, the z-score and other data's decimal places should be preserved when generating the confidence interval upper and lower bounds. The responses will be accurate and round-off errors will be prevented.

Also, the confidence interval boundaries are expressed in percentages. The maximum value of 0.8740, for instance, is 87.4% in decimal notation.

Make sure to specify the confidence level, the percentage of the population that the confidence interval actually captures, and the bounds expressed in percentages when expressing the meaning of the confidence interval.

Hence, the type of variable required to construct a confidence interval for a population​ proportion is Qualitative with 2 possible outcomes.

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Which of the following options have the same value as 60% and 94?
A: 0.06⋅94
B: 0.6⋅94
C: 5/3⋅94
D: 60⋅94
E: 60/100⋅94

Answers

Answer:

0.6 x 94

Step-by-step explanation:

You can convert 60% into a decimal, by moving the decimal place twice to the left, and it will still be the same. So, we have 0.60. Then, usually the term "and" means addition, but that is not in one of the answers, so I suppose they mean multiplication. So, we can set up this equation:

0.6 x 94

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a corporate bond that you own at the beginning of the year is worth $975. during the year, it pays $35 in interest payments and ends the year valued at $965. what was your dollar return and percent return? $ (whole number) and % (calculate to 2 decimal places) Which country has an abundant labor force suited to produce labor-intensive goods?. The Biopsychosocial Model of AddictionProposes that addiction is caused by multiple biological, psychological, social, and environmental factors operating in complex interactions. I helped Mom put up our tent while Dad cooked dinner over the __________. Let A (t) = 2 cot-3 cot1, 0 t 2. 1. Factorize A(t). 2. Hence, olve the equation A(t) = 0 for 0 t 2. (4 mark) Nuclear decay occurs according to first-order kinetics. How long will it take for a sample of radon-218 to decay from 99 grams to 0. 50 grams? the half-life of radon-218 is 35 milliseconds. CONCEPT REVIEW:Corporate advertising was described as controversial, largely because the source of the message is top management, so the rules for other advertising and promoting forms are often not applied. This element of communication definitely has its place in the promotional mix. But to be effective, it must be used with each of the other elements, with specific communications objectives in mind.Match the corporate advertising characteristics with the type of advertising.Choices:: A Advocacy Advertising Image Advertising An example of this would be the American Heart Association and the American Stroke Association's R support for President Obama's health care program Company benefits from favorable publicity, while the nt Sponsorship charity receives much-needed funds. Cause-Related Advertising YThis may accomplish a number of objectives, including creating goodwill both internally and externally, creating a position for the company, and generating resources, both human and financial. Y Many companies are attracted to this because effective IMC programs can be built around them, and promotional tie-ins can be made to local, regional, national, and even international markets. What reasons can you think of why those lands have not been given statehood? onstruct a normal probability plot for the following sample of observations on coating thickness for low-viscosity paint. 0.810.870.901.051.111.141.301.30 1.481.481.591.601.661.691.781.84 What could be the right answer for this question? with explanation pls. :)) which medication will the nurse teach a patient with asthma to use when experiencing an acute asthma attack? Solve for x: x^2 + 63 x 9 = 0 Which of theseis NOT a sex-linked disorder?A. muscular dystrophyC. hemophilia3B. color blindnessD. codominance this the time it takes the fed or congress to change economic policy is part 2 a. a recognition lag. b. an implementation lag. c. a response lag. d. none of the above Frequently a decisive element, the _____ principle of joint operations is based on the legality, morality, and rightness of the actions undertaken. while doing a health history, a client tells the nurse that her mother, her grandmother, and her sister died of breast cancer. the client asks what she can do to keep from getting cancer. what is the best response by the nurse? Which statement is true about principal? (1 point)It is everything you pay in addition to repaying theamount you borrow.O It is the amount you borrow.It is a percentage of the amount you borrow overtime.It is a simple way to compare all the variouselements of different loans. What is the momentum of a golf ball with a mass of 62 g moving at 73 m/s? if the impact between the ball and club lasted for 2. 0 x 10-3 s, what force acted on the ball?. a pharmaceutical company produces a drug to control blood pressure, but it's taken off the market after a number of consumers suffer strokes that some believe are linked to the medication. is the pharmaceutical company liable for negligence in the case of a lawsuit? explain the different ways that have you demonstrated a commitment to multiculturalism in your own life?