suppose that family incomes in the town of hawkins, indiana are normally distributed with a mean income of $75,000 and a standard deviation of $30,000. if the poverty level is $25,000, what proportion of hawkins' population is living in poverty? round your answer to four decimal places (include a zero if necessary). what is the income of a family in hawkins in the 90th percentile? round your answer to two decimal places (include a zero if necessary and do not include a dollar ($) sign in your answer.

Answers

Answer 1

Approximately 4.75% of the population in Hawkins is living in poverty. and a family in Hawkins in the 90th percentile has an income of $109,400.

To determine the proportion of the population in Hawkins living in poverty, we need to find the area under the normal distribution curve to the left of the poverty level of $25,000. We can do this by standardizing the poverty level using the formula:

Z = (X - μ) / σ

Where X is the poverty level, μ is the mean income, and σ is the standard deviation. Plugging in the values, we get:

Z = (25,000 - 75,000) / 30,000 = -1.67

Using a standard normal distribution table or calculator, we can find that the proportion of the population to the left of Z = -1.67 is 0.0475.

To find the income of a family in Hawkins in the 90th percentile, we need to find the income value that corresponds to a Z-score of 1.28. Again, using the standardization formula, we get:

Z = (X - μ) / σ

1.28 = (X - 75,000) / 30,000

Solving for X, we get:

X = 109,400

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Related Questions

Subjects who participate in a study of patients with inflammatory bowel disease are described as the:a. accessible population. b. element. c. sample. d. target population.

Answers

The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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Which values from the set {-6, -4,-3,-1,0, 2} satisfy this inequality? 1 X +3 > 5 2​

Answers

Answer:

\(if \: the \: inequality \: is \: (1x + 3 > 52) \\ so \: there \: is \: not \: any \: value \: satisfy \: it \: \\ \\ but \: i \: think \: there \: is \: some \: errors \: in \: the \: form \: of \: it \: \\ if \: that \: is \: right \: \\ can \: you \: send \: the \: correct \: form \: below \: in \: comment \: please\)

CAN SOMEBODY TEACH ME HOW TO MULTIPLY RATIONAL NUMBERS?????? PLSSSS IM DESPERATE (not in high school btw)

Answers

Answer: Rational numbers are numbers that can be written as the fraction of two integers. To multiply rational numbers together, you multiply the tops and bottoms separately to get your answer.

Step-by-step explanation:

Two golfers completed one round of golf. The first golfer had a score of +6 and the second golfer had a score of –3. How many more shots did the first golfer take? 17. What is the balance as a result of having a credit of $84 and a debit of $29?

Answers

Question 16

Given

Two golfers completed one round of golf.

The first golfer had a score of +6 and the second golfer had a score of -3.

To determine:

How many more shots did the first golfer take?

Explanation

Let 'n' be the number of shots taken by the first golfer

Since the first golfer had a score of +6 and the second golfer had a score of -3.

It means the 1st golfer must be 6 over par, and the 2nd golfer is still under 3.

Hence, we can map the situation using an equation

\(-3+n=6\)

Adding -3 to both sides of the equation

\(-3+n+3 = 6+3\)

\(n = 9\)

Therefore, the 2nd golfer took 9 more shots.

                                             Question 17

Answer:

The balance will be: 55

Step-by-step Explanation:

Credit means:

Credit = +

Debit means:

Debit = -

Hence, we can determine the balance using the equation.

Credit = +84Debt = -29

Balance = 84 + (-29)

              = 84 - 29

               = 55

Therefore, the balance will be: 55

Simplfy 7xy + 8x + 5xy + -6x

Simplfy 7xy + 8x + 5xy + -6x

Answers

Answer:

2xy+2x

Step-by-step explanation:

Solve for b.
4b+5=1+5b

Answers

Answer:

b=4

Step-by-step explanation:

Answer:

b=4

Step-by-step explanation:

you subtract 4b from both sides and 1 from both sides leaving you with b=4

How do you decide where to shade an inequality whose boundary does not go through the origin?

Answers

Answer:

Step-by-step explanation:

basically, you have to look at the inequality. it is the same all around. so if the inequality has less than or equal too, or greater than or equal too, you need to have a thick solid line representing your function. if it is just less than or greater than, use a dotted line. to determine whether the shading goes above or below, you look at the in equality. greater than is above, and less than is below

Which of the following pieces of information could you use to conclude that
trapezoid ABCD is similar to trapezoid WXYZ?
pls help !

Which of the following pieces of information could you use to conclude thattrapezoid ABCD is similar

Answers

Side WX = 3
The fourth one will be the answer

It’s like a ratio method
Which of the following pieces of information could you use to conclude thattrapezoid ABCD is similar

Please Perform The Operation.
Add:
1.) A - 5
+ 2a - 3

2.) 5t² - 6st + 8t - 3
+ 7t² + 8st - 2t + 9
3t² + 2st + 5t + 5


Subtract:
1.) 10m - 2n - 1
- 5m - 2n + 2

2.) -5x³ + 3x² +6x
- 3x³ + 9x² + 4x

:)

Answers

The resulting polynomials are listed below:

3 · a - 8 15 · t² + 4 · s · t + 11 · t + 11 5 · m - 3 - 8 · x³ + 12 · x² + 10 · xWhat are the resulting expression by adding and subtracting polynomials?

Herein we find two cases of addition of polynomials and the two cases of subtraction of polynomials. Each operation must be done by taking algebra properties into account. Complete procedures are shown below:

Addition - Case 1

(a - 5) + (2 · a - 3)              Given

(a + 2 · a) + [- 5 + (- 3)]       Associative and commutative properties

3 · a - 8                              Distributive property / Definitions of addition and subtraction

Addition - Case 2

(5 · t² - 6 · s · t + 8 · t - 3) + (7 · t² + 8 · s · t - 2 · t + 9) + (3 · t² + 2 · s · t + 5 · t + 5)                                         Given

(5 · t² + 7 · t² + 3 · t²) + (- 6 · s · t + 8 · s · t + 2 · s · t) + (8 · t - 2 · t + 5 · t) + (- 3 + 9 + 5)                                   Associative and commutative properties

15 · t² + 4 · s · t + 11 · t + 11       Distributive properties / Definitions of addition and subtraction / Result

Subtraction - Case 1

(10 · m - 2 · n - 1) - (5 · m - 2 · n + 2)          Given

(10 · m - 5 · m) + (- 2 · n + 2 · n) + (- 1 - 2)   Commutative and associative properties / (- a) · (- b) = a · b / (- a) · b = - a · b

5 · m - 3                                                      Distributive property / Cancellative property / Definition of addition and subtraction / Modulative property / Result

Subtraction - Case 2

(- 5 · x³ + 3 · x² + 6 · x) - (3 · x³ + 9 · x² + 4 · x)              Given

(- 5 · x³ - 3 · x³) + (3 · x² + 9 · x²) + ( 6 · x + 4 · x)           Commutative and associative properties / (- a) · (- b) = a · b / (- a) · b = - a · b

- 8 · x³ + 12 · x² + 10 · x                                                  Distributive property / Definition of addition and subtraction / Result

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i need help fast please​

i need help fast please

Answers

Answer:

The answer is 540 mm^3

Step-by-step explanation:

using v= BH

v= 30×18

v= 540mm^3

pls like and follow, hope this helps.:-):-)

6w< -2 w=1 , 1/2d > -3; d =0

Answers

The inequality (1/2)d > -3 when d =0 is true.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

6w < -2

Substitute w = 1

6 < -1

This is not true.

(1/2)d > -3

Substitute d = 0

0 > -3

This is true.

Thus,

(1/2)d > -3 when d =0 is true.

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if you use uv and see only one spot on your tlc plate, you can be sure your product is pure.

Answers

while the presence of only one spot on a TLC plate may suggest that the compound is pure, further analysis is needed to confirm the purity of the compound, such as melting point determination, NMR spectroscopy, or HPLC (high-performance liquid chromatography).

Using UV and seeing only one spot on a TLC (thin-layer chromatography) plate is not a definitive indicator of the purity of a product.

While it is true that a pure compound will only show one spot on a TLC plate, there are several reasons why a compound may still show only one spot even if it is not pure. For example:

The impurity may have a similar Rf (retention factor) value to the compound of interest and therefore co-migrate with it on the TLC plate, making it difficult to distinguish between the two.

The impurity may be present in such a small amount that it is not visible on the TLC plate.

The compound of interest may have multiple conformers or isomers that have the same Rf value and appear as a single spot.

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Mr. Holmes has been getting his Master's in Education from Dowling College and has just heard the news: due to low enrollment, Dowling College will be closing! Because of this, there will be a sale at the campus bookstore and everything is 30% off. If he buys a hat with an original price of $25.00, he believes that the price will be $7.50. When he gets to the register however, the cashier tells Mr. Holmes that he owes $17.50. Who do you think is correct, Mr. Holmes or the cashier?

Answers

Answer:

cashier

Step-by-step explanation:

the discount is $7.50

The areas of the squares adjacent to two sides of a right triangle are 32 units^2 and 32 units^2

Answers

Answer:

64 square units.

Step-by-step explanation:

In this problem, we have to find the area of an square adjacent to the third side of the right triangle.

To solve this problem, we need to use Pythagorean's Theorem, beacuse it's about a right triangle. Also, this theorem is about square areas, that's the geomtrical meaning of it.

\(h^{2} =32 \ u^{2} + 32 \ u^{2} = 64\ u^{2} \\h=\sqrt{64 \ u^{2} } =8u\)

Therefore, the area of a square adjacent to the third side is 64 square units.

The areas of the squares adjacent to two sides of a right triangle are 32 units^2 and 32 units^2

Answer:the answer is 8

Step-by-step explanation:

What is the fraction that is halfway between 1/3 and 1 1/2

Answers

Answer:

17/6 or 18/6

Step-by-step explanation:

1/3        11/2        first make sure they have the same bottom number

2/6       33/6       now find the in between

please give me a brainliest if this helps

Write the number in word form: 3,672,018

Answers

three million six hundred seventy two thousand and eighteen

Answer:

three million six hundred seventy-two thousand eighteen

Step-by-step explanation:

so as
Milan bought a table for Rs 3600. He sells it to Kirtim at a profit of Rs 205. Kritim sells it at
Rs 4968 to Aayush. Find the percentage profit of Kritim.

Answers

Answer:

23.41%

Step-by-step explanation:

Kirtim's purchase price was 3600 + 205 = 3805,

Kirtim sold the table for 4968 for a profit of 4968 - 3805 = 1163

Assuming requirement is for profit on revenue, so

P = 100 * (1163/4968) = 23.41%

Oleg is training for a triathlon. One day, he jogged for 2 hours at x miles per hour. Then he bicycled for 2 hours at y miles per hour. Finally, he swam a distance of 2 miles. The total number of miles did not exceed 30 miles.
What is the greatest possible speed that Oleg could have bicycled that day?

Answers

The greatest possible speed that Oleg could have bicycled that day is 13 miles per hour.

How did we get the value?

Let's call the total distance that Oleg jogged z. Then z = 2x.

The total distance that Oleg bicycled was 30 - z - 2. Let's call this distance w. Then w = 30 - 2x - 2.

Since Oleg bicycled for 2 hours, the speed that he bicycled was w / 2. So, w / 2 = y.

Substituting the expressions for z and w, we have:

y = (30 - 2x - 2) / 2.

Since y must be the greatest possible speed that Oleg could have bicycled that day, x must be the smallest possible value.

Since Oleg jogged for 2 hours, the minimum value of x is 2 / 2 = 1.

Substituting x = 1 into the expression for y, we have:

y = (30 - 2 * 1 - 2) / 2 = (26) / 2 = 13.

So, the greatest possible speed that Oleg could have bicycled that day is 13 miles per hour.

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surface area 20 points

surface area 20 points

Answers

Answer:

612 m^2.

Step-by-step explanation:

Area = area of 3 rectangles + area of 2 triangles

= 15 * 14 + 9 * 14 + 12 *14 + 1/2 * 9 * 12 + 1/2 * 9 * 12

= 210 + 126 + 168 + 54 + 54

= 612 m^2.

The data you used in the previous has 2 problems came from a random sample of students who took the SAT twice.

The response rate was 63% which is pretty good for nongovernment surveys. so let's accept that the respondants do represent all students who took the exam twice . Nonetheless. we can't be sure that coaching caused the coached students to gain more than the uncoached students.
Explain briefly but clearly why this is so

Answers

The reason why we can't be sure that coaching caused the coached students to gain more than the uncoached students is because of the presence of confounding variables, which could have affected the outcome.

For instance, there could be other factors like the student's motivation, study habits, and aptitude that contributed to the score difference. As such, it is difficult to attribute the gain solely to coaching. Additionally, the randomized control trial is considered as the gold standard for research because it minimizes the effect of confounding variables. Therefore, it is essential to conduct such trials to establish causality accurately.

When conducting research, it is essential to take into account the presence of confounding variables. These variables refer to other factors that could have affected the outcome of the study, other than the independent variable. In this case, the independent variable is coaching, while the dependent variable is the gain in score between the two tests. The presence of confounding variables could affect the outcome in different ways, thus making it difficult to attribute the difference solely to the independent variable.

In this case, the confounding variables include the student's motivation, study habits, and aptitude. For example, students who are naturally gifted may perform better on the SAT than those who are not, regardless of coaching. Similarly, students who are more motivated and study more may also perform better. Therefore, the difference in scores could be attributed to these factors rather than coaching alone.

To minimize the effect of confounding variables, randomized control trials (RCTs) are recommended. RCTs involve randomly assigning participants to either the control or experimental group, thus minimizing the effect of confounding variables.

While the study has some strengths, including a high response rate, it is challenging to establish causality without considering confounding variables. Therefore, future research should consider using RCTs to establish causality accurately.

Confounding variables, such as the student's motivation, study habits, and aptitude, could have affected the outcome. Therefore, it is difficult to attribute the gain solely to coaching. Randomized control trials are recommended to minimize the effect of confounding variables.

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due now pls help me :P

due now pls help me :P

Answers

Answer:

B

Step-by-step explanation:

y intercept is whenever x is 0 or in this case when they haven’t been on any rides

Here Jamie starts off with 24 tickets before going on any rides

Hopes this helps

On April 1, Mr.Olson’s meter read 8,284 kw-hr. At $.08 per kw-hr, what was his electric bill for the month of April?

Answers

if $.08 per kW-hr, we can find the electric bill for the month using the rule of three.

$.08 per kW-hr =

$0.08 ------------ 1 kW-hr

x --------------------- 8,284 kW-hr

Where x = (8,284 kW-hr*$0.08)/1 kW- hr

Then:

x= $662.72

Hence, the electric bill for the month of April was $662.72.

Answer the photo below thanks

Answer the photo below thanks

Answers

Answer:

D.

Step-by-step explanation:

3/6 = 30/60

Answer:

The answer is D

Step-by-step explanation:

3/6 = 30/60

If you divide the top and bottom of 30/60 by 10 you get 3/6

Hope that helps

Name a number that is a factor of 20 and 18 but a multiple of 2.

Answers

Thats just obvious you literally said it. The only common factors of 20 & 18 is 2 & 2 is a multiple of 2

(ANOVA) If your p level is 0.05, the probability that you will not make a Type I error when performing a single hypothesis test is ________. However, if you perform four hypothesis tests, then the probability of not making a Type I error is ________, which means that the probability of making a Type I error at least once in these four hypothesis tests is ________.
a) 0.95; 0.81; 0.19
b) 0.05; 0.19; 0.81
c) 0.95; 0.86; 0.14
d) It is impossible to determine these probabilities based on the information provided.

Answers

The probability of making a Type I error at least once in these four hypothesis tests is 0.19. Thus, the right answer is a) 0.95; 0.81; 0.19.

What is hypothesis test?

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The type of data used and the purpose of the study will determine the methodology the analyst uses.

Using sample data, hypothesis testing is done to determine whether a claim is plausible.

If your p level is 0.05, the probability that you will not make a Type I error when performing a single hypothesis test is 0.95.

However, if you perform four hypothesis tests, then the probability of not making a Type I error is 0.95^4 = 0.81, which means that the probability of making a Type I error at least once in these four hypothesis tests is

1 - 0.81 = 0.19.

So the correct answer is (a) 0.95; 0.81; 0.19.

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A recipe states that chicken needs to be cooked for 15 minutes per kg plus an extra 40 minutes. Express the relationship between mass and cooking time using function notation, and define the domain and range.

A recipe states that chicken needs to be cooked for 15 minutes per kg plus an extra 40 minutes. Express

Answers

For the given statement, the domain and range are - Domain : x ,Range : f(x)  40.

What does a notation in mathematics mean?

In mathematical notation, symbols are used in expressions and formulas to represent operations, unnamed numbers, relations, and any other mathematical objects. In mathematics, science, and engineering, mathematical notation is frequently used to communicate complicated ideas and properties in a clear, unambiguous manner.

A notation is a set of clear guidelines for using symbols to describe numbers and actions.

The sum of numerous linked terms is frequently represented by the sign (capital sigma) in shorthand notation. In statistics, sigma notation is frequently employed.

For each dividend number, the extended notation division method merely repeats the division, multiplication, and subtraction operations.

Given data :

x is the mass of the chicken (in kg)

f(x) : the cooking time ( in minutes )

Domain : x

Range : f(x)  40

f(x) = 15x + 40 - 15 minutes per kg (x) plus 40 more minutes

f (1) = 15 x 1 + 40 = 55

A 1 kg chicken needs 15 min + 40 min = 55 min

f (2) = 15 x 2 + 40 = 70

A 2 kg chicken needs 30min + 40 min = 70 min

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graph the logarithmic function g(x)=log4(x-1)+2

Answers

See attachment for the graph of the function g(x)=log4(x-1)+2

How to graph the logarithmic function?

The equation of the logarithmic function is given as

g(x)=log4(x-1)+2

The parent function of the above logarithmic function is

f(x) = log4(x)

This means that the parent function is translated right by 1 unit and translated up by 2 units

Next, we plot the graph of the function g(x)=log4(x-1)+2

See attachment for the graph of the function g(x)=log4(x-1)+2

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graph the logarithmic function g(x)=log4(x-1)+2

- m/3 = -4
find the answer for m with work provided

Answers

Answer:

m = 12

Step-by-step explanation:

\(-\frac{m}{3} =-4\\\)

→ Multiply both sides by 3

\({-m} =-12\\\)

→ Multiply both sides by -1

m = 12

What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (- 1, - 1)?

Answers

Answer:

y=-1x-1

Step-by-step explanation:

it should be this

Answer:

D. y+1=3(x+1)

Find the degree of the monomial. -20.5​

Answers

Answer:

0

Step-by-step explanation:

-20.5 is the same as -20.5\(x^{0}\), since anything to the zero power is equal to 1.

Answer:

The degree of a monomial is the sum of the exponents of the variables.

Therefore,

The degree of the monomial - 20.5   is 0, because there is no variables only numeric terms.

Step-by-step explanation:

To find the degree of monomial.

Basically,

- If one term is present, then it is monomial.

- If two term is present, then it is binomial.

- If three term is present, then it is trinomial.

- If more than three term is present, then it is polynomial.

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