Y= -3/2x +3 is the same line as x + y =

Answers

Answer 1
I don’t know this question but you can’t divided by number and multiply

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Do males or females feel more tense or stressed out at work? A survey of employed adults conducted online by a company on behalf of a research organization revealed the data in the contingency table shown to the right. Complete parts (a) through (d) below. Felt Tense or Stressed Out at Work Yes No Total Gender Male 100 200 300 Female 145 125 270 Total 245 325 570 a. What is the probability that a randomly selected​ person's gender is​ female?
b. What is the probability that a randomly selected person feels tense or stressed out at work and is​ female?
c. What is the probability that a randomly selected person feels tense or stressed out at work or is​ female?
d. Explain the difference in the results in​ (b) and​ (c).

Answers

A survey of employed adults conducted online by a company on behalf of a research organization revealed the data in the contingency table is as follows:

a) The probability that a randomly selected​ person's gender is​ female is 270/570 or 0.474, which is approximately 47.4%.Formula used: P (Female) = Number of Females/Total Number of Individuals

b) The probability that a randomly selected person feels tense or stressed out at work and is​ female is 145/570 or 0.254, which is approximately 25.4%. Formula used: P (Female and Tense) = Number of Females who are Tense/Total Number of Individuals

c) The probability that a randomly selected person feels tense or stressed out at work or is​ female is: P (Female or Tense) = P(Female) + P(Tense) - P(Female and Tense)P(Tense) = (245/570) or 0.43, which is approximately 43%P(Female or Tense) = 0.47 + 0.43 - 0.254 = 0.646, which is approximately 64.6%.

d) The distinction between the outcomes in​ (b) and​ (c) is that the former shows the likelihood of being female and tense at work, whereas the latter shows the likelihood of being female or tense at work.

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When describing the results of an observational study, the mathematical relationship between the relative risk (RR) and the odds ratio (OR) is referred to as: a. The rare disease assumption b. The built-in bias c. The relative odds approach d. Effect modification e. All of the above
Previous question

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The mathematical relationship between the relative risk (RR) and the odds ratio (OR) is (c) The relative odds approach.

How to find the mathematical relationship between the relative risk (RR) and the odds ratio (OR)?

The mathematical relationship between the relative risk (RR) and the odds ratio (OR) is often described as the relative odds approach.

This approach quantifies the relationship between RR and OR and provides insights into the association between exposure and outcome in observational studies.

The rare disease assumption (a) refers to the assumption made in case-control studies that the odds ratio approximates the relative risk when the outcome is rare.

It is not specifically related to the mathematical relationship between RR and OR.

The built-in bias (b) does not directly relate to the mathematical relationship between RR and OR.

It refers to biases inherent in the study design or data collection process.

Effect modification (d) refers to a situation where the association between an exposure and outcome differs depending on the levels of another variable.

While effect modification can influence the relationship between RR and OR, it is not the specific term used to describe their mathematical relationship.

In summary, the mathematical relationship between RR and OR is best described as the relative odds approach (c), while the other options (a, b, d) are not directly related to this specific relationship.

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Shania is making lasagna. The recipe she uses calls for 2 1/3 cups of spaghetti sauce. If she doubles the recipe, how much spaghetti sauce will she need?

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Answer:

4 2/3 cups

Step-by-step explanation:

If you roll a six sided die, what is the probability that you do not roll a one or two?

Answers

Answer:

66.6%

Step-by-step explanation:

You have a 1/6 chance to roll any number. That is a 16.6% chance per number.

So, that means you have a 4/6 (2/3 simplified) probability of not rolling a one or two. That is a 66.6% chance.

[NOTE: The '6' at the end of '16.6%' and '66.6%' is a repeating decimal]

AH PLEASE SOMEONE HELP

Answers

Answer:

Variant b

Step-by-step explanation:

If you multiply it should be a+b but if you divided

A+b-c

Help is much needed. You will get lots of point too!

Answers

0.98 because you multiply and then make shift the decimal

FILL in the blank:AB E M nxn (R) (i) det (A.B) = ____________ . (ii) A is invertible if and only if _____________ .

Answers

Answer:

For square matrices A and B of equal size, the determinant of a matrix product equals the product of their determinants: det (A.B) = det (A) det (B) 1. A is invertible if and only if its determinant is nonzero 1.

Step-by-step explanation:

What is the measure of angle C?

Answers

Answer:

angle C = 36°

Step-by-step explanation:

Fun fact that I found out:

all interior angles of a triangle added together = 180°

5x + 3x + 2x = 180°

combine like terms:

10x = 180°

divide both sides of the equation by 10:

x = 18°

angle C = 2(18°) = 36°

A soccer ball has an interior
diameter of 22cm. How
many cubic centimeters of air
does a soccer ball contain,
rounded to the nearest
hundredth?

Answers

Answer:

5575 cm³

Step-by-step explanation:

The volume of a sphere is V = (4/3)πr³.  If we substitute r = (d/2 where r is the radius and d the diameter), this formula becomes:

                                        πd³

V = (4/3)π·d³/8, or V = -------------

                                           6

and so, if d = 22 cm, the volume is:

        π(22 cm)³

V = ------------------- = 5575 cm³

              6

The highest temperature in Las Vegas is 125 degrees Fahrenheit and the lower recorded temperature in Las Vegas is 50 degrees Fahrenheit below zero what is the difference between these two temperatures

Answers

Answer:

175 degrees Fahrenheit

Step-by-step explanation:

We are to find the difference between the two temperatures

125 - (-50)

two minuses gives a plus

125 = 50 = 175

If p is prime, then there exists a field of order p². O True False

Answers

The statement "If p is prime, then there exists a field of order p²" is true. For any prime number p, there exists a finite field of order p².

Is it true that if p is prime, there exists a field of order p²?

Yes, it is true that if p is a prime number, then there exists a field of order p². In mathematics, a field is a specific type of algebraic structure with two operations, addition and multiplication, that satisfy certain properties. The order of a field refers to the number of elements in the field. For any prime number p, there exists a unique finite field of order p², often denoted as GF(p²) or Fp². This field consists of p² elements and is crucial in various areas of mathematics, such as number theory, cryptography, and coding theory.

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How many solutions does this equation have? 9z = –8 + 7z
-no solution
-one solution
-infinitely many solutions

Answers

Answer:

one solution.            

The Σx = 68, y = 79, xy = 1200 x² = 600 and N = 12 determine the equation of the least square line. Leave answer in 2 decimal places.

Answers

To determine the equation of the least squares line, we need to find the slope (m) and the y-intercept (b) using the given data. The formula for the least squares line is:

y = mx + b

where:

m is the slope of the line

b is the y-intercept of the line

We can use the following formulas to calculate the slope and y-intercept:

m = (NΣxy - ΣxΣy) / (NΣx² - (Σx)²)

b = (Σy - mΣx) / N

Given the values:

Σx = 68

Σy = 79

Σxy = 1200

Σx² = 600

N = 12

Let's substitute these values into the formulas:

m = (12 * 1200 - 68 * 79) / (12 * 600 - (68)²)

b = (79 - m * 68) / 12

Calculating the values:

m = (14400 - 5372) / (7200 - 4624)

m = 9028 / 2576

m ≈ 3.5039

b = (79 - 3.5039 * 68) / 12

b = (79 - 238.2752) / 12

b ≈ -13.2738

Therefore, the equation of the least squares line is:

y ≈ 3.5039x - 13.2738

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The equation of the least squares line is y = 1.25x + 10.75

To determine the equation of the least squares line, we need to find the slope (b) and y-intercept (a) using the following formulas:

b = (NΣxy - ΣxΣy) / (NΣx² - (Σx)²)

a = (Σy - bΣx) / N

Given the following values:

Σx = 68

Σy = 79

Σxy = 1200

Σx² = 600

N = 12

Let's calculate the slope (b) first:

b = (12 × 1200 - 68×79) / (12×600 - 68²)

b ≈ 1.25

Now we can calculate the y-intercept (a):

a = (79 - 1.25×68) / 12

a = 10.75

Therefore, the equation of the least squares line is: y = 1.25x + 10.75.

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Help pls it is my homework
Can y'all help me?

Answers

Answer:

A

Step-by-step explanation:

the mean is what occurs most often

Find the product
(10^2)^3​

Answers

Answer:

Well first you must do what's in the parenthesis.

10^2 = 100

100^3 = 1000000

Use pie= 22/7 to approximate the circumference of a circle whose diameter is 28 inches.​

Answers

Answer:

88 inches

Step-by-step explanation:

formula for circumference: 2pir or pi*diameter

22/7*28=88

88 inches

Need help solving this problem.

Answers

Answer:

The measure of angle CDE is 37 degrees

Step-by-step explanation:

PLZZZZZ HELP ASAP!
Jake has $5,625 in his savings account. Each month he makes a car payment from his savings account without making additional deposits.

Which table shows the amount of money in Jake's savings account after each month if it is a linear relationship?

Answers

I think it’s D because he not adding any additional deposits only taking out

f(x) = 2x+10. If f(x)= -2, find x.​

Answers

Answer:

x=-5

Step-by-step explanation:

help me, please. I'm not very good at math

Answers

your answers will be A, B and D

Answer:

1st, 2nd, 3rd

Step-by-step 1explanation:

30+40+5=75

30+40=70

70+5=75

20+1+50+4

=20+50=70

1+4=5

70+5=75

50+30-5  

50+30=80

80-5=75

I hope this helps :)

The cost of renting a bicycle, y, for
x hours can be modeled by a linear
function. Renters pay a fixed insurance
fee of $12 plus an additional cost of $10
per hour, for a maximum of 6 hours.
What is the range of the function for this
situation?
F {22, 32, 42, 52, 62, 72}
G {1, 2, 3, 4, 5, 6}
H {12, 24, 36, 48, 60, 72}
J {22, 34, 46, 58, 70, 82}

Answers

Answer:

F

Step-by-step explanation:

1(10) + 12= 22

2(10) + 12= 32

etc.....

The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred fastfood outlet: PREFERRED FAST FOOD OUTLET Burger King McDonalds TOTAL 50 No. of Males No. of Females 20 130 100 120 TOTAL 270 150 110 140 400 0.1.1.1 What is the probablyf randomly selecting a respondent who is male and prefer Burger 01.12 What is the probably selecting a female respondent, even that the preferred fastfood out? 0.1.1.3 What is the probability of selecting a respondent who is female or who prefers McDonalds? 12) (2) Events X and Yare such that PC) = 0.20 and PCXUY) = 0.55. Given that Xand Yare independent and non-mutually taclusive, determine P(Y). Give your final answer as a percentage to two decimal places (5) 13 (2) 2.1.3.1 Helen is the manager of a Finance Department. She has fifteen (15) members of stuff working for her. She has to choose five (5) members of her staff for a research team. How many different teams can she select from the fifteen members of staff 2.1.22 There are twelve (12) teams in a basketball league. What is the probability of correctly predicting the top three teams at the end of the 3) season in the correct order?

Answers

Q1.1.1 The probability of randomly selecting a male respondent from the sample is 0.4. Q.1.1.2 The probability of randomly selecting a respondent who is female and prefers HP is 0.275. Q.1.1.3 The probability of selecting a male respondent, given that the preferred brand is Lenovo is 0.4545. Q.1.1.4 The probability of selecting a respondent who is male or who prefers HP is 0.575. Q.1.1.5 The probability of selecting a respondent who does not prefer Lenovo is 0.725.

Q.1.1.1 What is the probability of randomly selecting a male respondent from the sample?

The probability of randomly selecting a male respondent is given by the number of male respondents divided by the total number of respondents:

Probability = No. of Males / Total = 160 / 400 = 0.4

Q.1.1.2 What is the probability of randomly selecting a respondent who is female and prefers HP?

The probability of randomly selecting a respondent who is female and prefers HP is given by the number of females who prefer HP divided by the total number of respondents:

Probability = No. of Females who prefer HP / Total = 110 / 400 = 0.275

Q.1.1.3 What is the probability of selecting a male respondent, given that the preferred brand is Lenovo?

The probability of selecting a male respondent, given that the preferred brand is Lenovo, is given by the number of males who prefer Lenovo divided by the total number of respondents who prefer Lenovo:

Probability = No. of Males who prefer Lenovo / Total No. of respondents who prefer Lenovo = 50 / 110 = 0.4545

Q.1.1.4 What is the probability of selecting a respondent who is male or who prefers HP?

The probability of selecting a respondent who is male or who prefers HP is given by the sum of the probabilities of selecting a male respondent and selecting a respondent who prefers HP, minus the probability of selecting both (to avoid double counting):

Probability = (No. of Males / Total) + (No. of Females who prefer HP / Total) - (No. of Males who prefer HP / Total)

Probability = (160 / 400) + (110 / 400) - (40 / 400) = 0.4 + 0.275 - 0.1 = 0.575

Q.1.1.5 What is the probability of selecting a respondent who does not prefer Lenovo?

The probability of selecting a respondent who does not prefer Lenovo is given by the number of respondents who do not prefer Lenovo divided by the total number of respondents:

Probability = (Total - No. of respondents who prefer Lenovo) / Total

Probability = (400 - 110) / 400 = 290 / 400 = 0.725

The complete question is:

The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of notebook:

                              HP  Lenovo  Dell  Total

No. of Females        110    60   70    240

No. of Males             40    50   70    160

Total                        150    110  140    400

Q.1.1.1 What is the probability of randomly selecting a male respondent from the sample?

Q.1.1.2 What is the probability of randomly selecting a respondent who is female and prefers HP?

Q.1.1.3 What is the probability of selecting a male respondent, given that the preferred brand is Lenovo?

Q.1.1.4 What is the probability of selecting a respondent who is male or who prefers HP?

Q.1.1.5 What is the probability of selecting a respondent who does not prefer Lenovo?

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3.1. Two friends. Ben and Mike, take part in a 15km fun
run. Ben took 1 h 23 min 12 sec and Mike took 1 h 39
min 4 sec. How long did Ben wait at the finish line for
Mike?​

Answers

Answer: 15.867 min

Step-by-step explanation:

Given

Ben took [tex]1\ h\ \text{and}\ 23\ min\ 12\ s[/tex] to complete 15 km

While Mike take [tex]1\ hr\ 39\ min\ 4\ s[/tex] to complete the same

converting time into miniutes

Ben time

[tex]\Rightarrow 60+23+\frac{12}{60}=83.2\ min[/tex]

Mike time

[tex]\Rightarrow 60+39+\frac{4}{60}=99.0667\ min[/tex]

So, mike waited for

[tex]\Rightarrow 99.067-83.2=15.867\ min[/tex]

A 12ft basketball hoop casts an 8 ft shadow. Find the length of the shadow of a 4 ft tall fence.

Answers

Set up a ratio of height over shadow for each :

12/8 = 4/x

Cross multiply:

12x = 32

Divide both sides by 12:

X = 2 2/3 feet

The shadow is 2 2/3 feet.

PLSSS HELP IMMEDIATELY!!!! i’ll give brainiest, if u don’t provide just a link! answer choices: (4,6) , (0,1) , (0,0) , (5,4)

Answers

Answer:

try (4,5)

Step-by-step explanation:

that is where the points meet I think it is that I am not sure sorry if it is wrong

Sorry the lines aren’t even but this should be correct

Write 9020000 in standard form?

Answers

Answer:

9.02 x 10^6

Step-by-step explanation:

hope this helps!

Question is in picture

Answers

Answer:

27.5ft

Step-by-step explanation:

a² + b² = c²

Plug in what you have:

a² + 12² = 30²

Get a by itself:

a² = 30² - 12²

Simplify:

a² = 900 - 144

Simplify:

a² = 756

Simplify:

√a = √756

Then you get 27.49 and when you round you get 27.5

Given some scores on an entrance exam, which are roughly normally distributed, we are told they have a mean of 82 and a standard deviation (std dev) of 5. If some student received a 90 on the exam, what would there z-score be calculated as?

Answers

The z-score for a student who received a score of 90 on the entrance exam is 1.6.

What is the formula for calculating the area of a triangle?

The z-score for a student who received a score of 90 on the entrance exam, with a mean of 82 and a standard deviation of 5, can be calculated as follows:

z = (x - μ) / σx is the student's score (90 in this case)μ is the mean (82)σ is the standard deviation (5)

Plugging in the values:

z = (90 - 82) / 5

Simplifying:

z = 8 / 5

Calculating:

z = 1.6

Therefore, the z-score for the student who received a score of 90 on the exam is 1.6.

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Let R be the binary relation defined on a set of all integers Z as follows: for all integers m and n, mRn m’ – n’ is divisible by 6. a) Is R an equivalence relation? Check the conditions. b) What is the equivalence class of -17?
Previous question

Answers

The required solutions are:

a) Yes, the relation R is an equivalence relation.

b)The equivalence class of -17 is {-17, -23, -29, -35, ...}.

a) In order to determine whether R is an equivalence relation or not, we need to check if it satisfies the following three conditions:

Reflexibility: For all integers m, mRm should hold. In the given case, if we take m=n, we have m-n=n-m=0, which is divisible by 6. So, we can see that the reflexibility is satisfied.Transitivity: For all integers m, n, and p, if mRn and nRp hold, then mRp should also hold. Assume mRn and nRp, which means m-n, and n-p are both divisible by 6. To check transitivity, we need to check if m - p is divisible by 6. By adding the two previous conditions, we have (m-n) + (n-p) = m-p, which is also divisible by 6. Therefore, transitivity is satisfied.Symmetry: For all integers m and n, if mRn holds, then nRm should also hold. If mRn, it means m-n is divisible by 6. In order to check the symmetry, we need to check if n - m is divisible by 6. We can use the fact that a-b = -(b-a), we can rewrite n - m as -(m - n), which is divisible by 6. So, we can say that symmetry is satisfied.

We can see that the relation 'R' satisfies all the conditions ( reflexibility, symmetry, and transitivity), so R is an equivalence relation.

b) In order to find the equivalence class of -17, we need to find all integers that are related to -17 under the relation R.

We can rewrite the relation as mRn if and only if m' - n' = 6k for some integer k.

In this case, -17Rn if and only if (-17)' - n' = -17 - n = 6k for some integer k.

To find all integers n that satisfy this equation, we can rearrange it as n = -17 - 6k.

By putting in different values of k, we can find all the integers n that are in the equivalence class of -17.

For example, when k = 0, n = -17 - 6(0) = -17. So, -17 is in the equivalence class of -17.

We can also see that when k = 1, n = -17 - 6(1) = -23. So, -23 is also in the equivalence class of -17.

The equivalence class of -17 consists of all integers that can be obtained by subtracting multiples of 6 from -17. So, the equivalence class of -17 is {-17, -23, -29, -35, ...}.

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Find the values of the sine, cosine, and tangent for angle a

Answers

[tex]sina=\frac{2\sqrt{13} }{13} \\cosa=\frac{3\sqrt{13} }{13}\\tana=\frac{2}{3}[/tex]

Answer:

A.

Step-by-step explanation:

correct on edge2021

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The company makes around 50% of its sales of luxury handbags, as defined, online in Ireland. The Irish government adopted this rule to curb what it described as "shopping addiction";(c) The Irish government has, ostensibly on health grounds, also adopted a new rule which prohibits the sale (not import) of any leather good containing chemical X. The Irish government bases this decision on a single scientific study conducted in 1964. No other EU Member State has such a ban on sales of leather goods containing chemical X. Traditionally, Irish producers of leather goods have never used chemical X;(d) The Irish government has also adopted a rule which bans the import of fur coats into Ireland. This government states that the reason for this rule is the protection of animals. There is, however, no such ban on the production of fur coats in Ireland.Advise the company as to compatibility of the Irish governments actions with Article 34 TFEU. Your firm is currently paying $3,000 a year to a commercial garbage collection agency to haul waste paper to the city dump. The paper could be sold as waste paper if it were baled and strapped. A paper baler is available at the following conditions:Purchase price = $6,500Labor to operate baler = $3,500/yearStrapping material = $300/yearLife of baler = 30 yearsSalvage value = $500MARR = 10%/yearIf it is estimated that 500 bales would be produced per year, what would the selling price per bale to a wastepaper dealer have to be to make this project acceptable? Assume no inflation. Identify the sampling techniques used, and discuss potential sources of bias (if any). Explain.Alfalfa is planted on a 49-acre field. The field is divided into one-acre subplots. A sample is taken from each subplot to estimate the harvest.1 What type of sampling is used?2 What potential sources of bias are present, if any? Select all that apply. The planters made an agreement with Ryots called Satka. What did the plants provide the peasants use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x) = (x 3)(x 2)(x 1). which of the following statements are incorrect about why it is so hard to beat passive funds/value weighted diversified investment strategies? according to academic study, 96% stocks only earn a return close to risk free rate, because the majority of these stockes disappeared from the stock market. therefore, the market portfolio consists of the long term winners which represent only 4% of the entire stock universe that has been ever listed in the past 100 years. this extreme skewness implies that a concentrated stock picking strategy has extremely high chance of failure relative to a diversified strategy with value weighting, because the latter has a higher chance to cover the long term winner stocks in the portfolio. through trading, market price effectively reflect the opinions all traders who come from different parts of the economy. as a result, information is aggregated. this information sharing could result in the best solution that is even better than the smartest investor in the world, this is just like students sharing wrong answers to their exams can score even higher than the best performing student in class, if these students (but not the best performing student) are allowed to take the exam the second time. this conclusion holds only if there are sufficient diversification. in other words, people cannot have the same set of information (figuratively, students cannot choose the same wrong choice for a question). if only one person has the truth, and he has a very small amount of capital, everyone else are pure noise traders, then the truth may still be priced in eventually because noise traders will cancel out their noise (akin to diversification) if these noise traders are pure random noise. none of the choices given. Show that the function defined as f(x) = x sin(1/x), for x 0, and (0) = 0 is differentiable at x = 0, but not continuously differentiable. (b) Give and example of a function defined on the interval [0, 1] fails to be differentiable at an infinite number of points. Explain why that is the case. (c) Show that is is differentiable on (a,b), with '(x) 1, then can have at most one fixed point in (a, b).