older people often have a hard time finding work. a research group reported on the number of weeks it takes a worker aged 55 plus to find a job. the data on number of weeks spent searching for a job is given in the table below. 25 18 55 20 21 18 20 16 52 4 31 21 36 28 16 14 56 25 30 18 17 28 23 32 30 30 14 25 48 40 26 43 21 21 14 23 20 26 9 26 (a) provide a point estimate of the population mean number of weeks it takes a worker aged 55 plus to find a job. weeks (b) at 95% confidence, what is the margin of error? (round your answer to three decimal places.) weeks (c) what is the 95% confidence interval estimate of the mean? (round your answers to two decimal places.) weeks to weeks (d) discuss the degree of skewness found in the sample data. what suggestion would you make for a repeat of this study? a histogram of the data shows evidence that the distribution ---select--- one might suggest collecting a ---select--- sample in the future.

Answer:

y = x + 2

Step-by-step explanation:

Well, to be parallel, the slope has to be equal to eachother, so we can say m=1

setting the equation up:

y-7 = 1(x-5)

y = x + 2

Answer:

y = x + 2

Step-by-step explanation:

Well, to be parallel, the slope has to be equal to each other, so we can say m=1

setting the equation up:

y-7 = 1(x-5)

y = x + 2

The type of transformation and scale factor as required are;

16) Rotation

17) Reflection

18) Dilation

19) n = 5

20)P = r = 4

There are different types of transformation as follows;

1) Translation: This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance

2) Dilation: This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing.

3) Rotation: This type of transformation has an object about a fixed point without changing its size or shape.

4) Reflection: This type of translation is called reflection because it flips the object across a line by keeping its shape or size constant.

16) This transformation is rotation based on the definitions above.

17) This type of transformation is a reflection as it is like the image was flipped across a line more like a mirror image.

18) This called dilation as the scale factor was adjusted to produce the new image.

19) Scale Factor = 6/3 = 2

Thus;

n = 10/2 = 5

20) Scale factor = 12/9 = 4/3

Thus;

P = r = 3 * 4/3

= 4

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Answer:

40%

Step-by-step explanation:

It takes approximately 52.7 hours for the activity of a sample of gallium-67 to fall to 6.73 percent of its original value.

The decay of radioactive substances is governed by the following equation:

\(N(t) = N_{0} e^{(-\lambda t)\)

where:

N(t) is the amount of the substance at time t

N₀ is the initial amount of the substance

λ is the decay constant

t is time

The half-life of gallium-67 is 78.2 hours, which means that:

λ = ln(2)/t₁/₂ = ln(2)/78.2 = 0.00887 h⁻¹

Let N be the amount of gallium-67 remaining after time t, and N₀ be the initial amount. Then, we can use the above equation to find the time t required for the activity of the sample to fall to 6.73 percent of its original value:

N/N₀ = 0.0673

\(0.0673 = e^{(-\lambda t)}\)

Taking the natural logarithm of both sides:

ln(0.0673) = -λt

t = ln(1/0.0673)/λ

t = ln(14.84)/0.00887

t ≈ 52.7 hours

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The expanded expression with no exponents is given as follows:

b x b x b x b x b x b x b x b.

An exponential operation is equivalent to consecutive multiplication operations.

For example, the number 3 squared, that is, 3², is that three multiplies it-self once, as follows:

3² = 3 x 3 = 9.

Hence, for the number b^8, the number b multiplies itself 8 - 1 = 7 times, as follows:

b^8 = b x b x b x b x b x b x b x b.

Which is the equivalent expression.

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Answer:

a

Step-by-step explanation:

Razorback's acceleration is 1.25 m/sec².

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities.

Now it is given that,

Distance ran by Razorback, S = 40 m

Time taken, t = 8 seconds

Since the equation of motion is given as,

S = ut + 1/2at²

Now Razorback was at rest, therefore u = 0

⇒ 40 = 0 + 1/2a(8)²

⇒ 64a = 80

⇒ a = 80/64

⇒ a = 1.25 m/sec²

Thus, Razorback's acceleration is 1.25 m/sec².

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The line passes through the point (4, 3)

The line has a slope of m=-1/3

The equation of the line can be written in the form

Since the slope is -1/3

Then the equation becomes

Since the line passes through the point (4, 3)

Substitute x = 4, y= 3 into the equation

Simplify the equation and solve for c

Hence, the equation becomes

Using an online graphing calculator.

The graph of the line is shown

Answer:

i dont know if its a typo but here

Step-by-step explanation:

Answer:q

Step-by-step explanation: If you want an answer you have to give us the data

To express the value of the Toyota RAV4, V, in terms of its age, t, in years, we can use a linear depreciation model.

Given that the car's value depreciates linearly from $26,500 to $19,999 over a period of three years, we can determine the rate of depreciation per year. The difference in value over three years is $26,500 - $19,999 = $6,501. This means the car depreciates by $6,501 over three years.

Using this information, we can calculate the rate of depreciation per year:

Rate of depreciation per year = Total depreciation / Total number of years

Rate of depreciation per year = $6,501 / 3 years

Rate of depreciation per year = $2,167

Now, we can express the value of the car, V(t), in terms of its age, t, using the formula for linear depreciation:

V(t) = Initial value - (Rate of depreciation per year * t)

Substituting the given values, we have:

V(t) = $26,500 - ($2,167 * t)

Therefore, the formula that expresses the value of the Toyota RAV4, V, in terms of its age, t, in years is:

V(t) = $26,500 - ($2,167 * t)

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Answer:

y>=14

Step-by-step explanation:

y is the age, and you must be older than or as old as 14.

Answer:

x = 65

Step-by-step explanation:

180 - 115 = x

x = 65

Have a nice day!

The probability of getting exactly one face card is 0.72.

According to the questions two cards are drawn from a deck.

Since, we know that

Total number of cards in a deck = 52

Total number of face cards =  3 × 4 = 12

So, the number of ways of selecting 2 cards from a deck = \(^{52} C_{2}\)

And, the total number of ways of  getting exactly one face cards

= \(^{12} C_{1} \times ^{40} C_{1}\)  + \(^{40} C_{1} \times ^{12} C_{1}\)

= 2\(^{40} C_{1} \times ^{12} C_{1}\)

Therefore, the probability of getting exactly one face card

= \(\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }\)

\(= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }\)

\(= \frac{2(40\times 12)}{26\times 51}\)

\(=\frac{2\times 480}{1326}\)

= 0.72

Hence, the probability of getting exactly one face card is 0.72.

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Answer:

I think it might be B?

Step-by-step explanation:

Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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The equation of the linear function in slope-intercept form is y = -2x + 9

The equation of a line is given as;

y = mx + c

Where;

Slope, m = y₂ - y₁/ x₂ - x₁

Now, substitute the values

Slope, m = 3 - 5/ -1 - (-2)

Slope, m = -2/1

Slope, m = -2

The intercept is given as;

5 = -2(-2) + c

c = 5 + 4

c = 9

Equation, y = -2x + 9

Hence, the equation is y = -2x + 9

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Given data:

The first equation is 2x+3y=-12.

The second equation is x+y=9.

The second equation can be written as,

y=9-x

Substitute the above value in second equation.

2x+3(9-x)=-12

2x+27-3x=-12

-x=-39

x=39

The value of y is,

39+y=9

y=-30.

Thus, the value of x is 39, and the value of y is -30.

We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

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Answer:

13x + 8

Step-by-step explanation:

16x - (3x + 9) + 17    

16x + -3x + -9 + 17

 Where there is a negative in front of the parenthesis you can imagine a -1 in place.

16x - 3x = 13x     and -9 + 17= 8

So all that's left is 13x + 8

Hope that helps and have a great day!

find the opposite of ( 3x + 9 ) - since it's in the negative

combine 16x and -3x to get 13x

add - 9 and 17 to get 8 and finally you should have ...

hope that helps :) please ask me if you have any questions related

Answer:

the slope is 1  and y-intercept s 4 so:

the first point is (0,4)

then go 1 right and 1 up

keep doing that and brainliest me pls

Answer:

How to Answer, “Tell Me About a Time You Went Above and Beyond”

First, describe the situation you were in.Then, explain the task at hand, or the challenge you had to overcome.Next, explain the action or plan you chose and why.

Step-by-step explanation:

When going in for that all important job interview, your goal is to sell yourself as the most qualified for the job. Answering the interview questions with knowledgeable and detailed answers is the best strategy to do that. Most job interviews follow a somewhat predictable format of questioning. In general, interview questions are either traditional, which are closely related to the line of work or your specific experiences, or behavior based. Behavioral interview questions are the ones that make many job applicants nervous, with questions such as ‘Talk about a time when communications broke down and the person you were talking with misunderstood you.’

b. interquartile range is a measure of dispersion.

The correct answer is b. interquartile range.

Here, we have,

The interquartile range is a measure of dispersion that represents the range between the first quartile (25th percentile) and the third quartile (75th percentile) of a dataset. It gives an indication of the spread of the middle 50% of the data and is less affected by outliers compared to the range.

Quartiles (a) and percentiles (c) are positions or values within a dataset and are used to divide the data into equal parts. While they can provide information about the distribution of the data, they are not direct measures of dispersion.

The geometric mean (d) is a measure of central tendency and is calculated as the nth root of the product of n numbers. It is not a measure of dispersion.

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The polynomial function of least degree with integral coefficients is equal to f(x) = x³ - 4x² + x + 6 with the given zeros 3, 2, -1.

As given in the question,

Given zeros of the polynomial function are :

3, 2, -1

⇒ ( x - 3 ) =0 or ( x - 2 ) = 0 or ( x + 1 ) = 0

Polynomial function of the given factors  ( x - 3 ) =0 or ( x - 2 ) = 0 or

( x + 1 ) = 0 is given by :

f (x ) = ( x - 3 )( x - 2 )( x + 1 )

⇒ f(x) = ( x² - 3x - 2x + 6 ) ( x + 1 )

⇒ f(x) = ( x² - 5x + 6 ) ( x + 1 )

⇒ f(x) = x³ + x² -5x² - 5x + 6x + 6

⇒f(x) = x³ - 4x² + x + 6

Therefore, the required polynomial function of least degree with integral coefficients using given zeros is equal to f(x) = x³ - 4x² + x + 6.

The complete question is:

Write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, -1?

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Answer:

y = 5x + 3

Step-by-step explanation:

If you plot it on a graph it shows that the line y = 5x + 3 passes through those points.

The decimal number system uses nine different symbols is False as the decimal number system actually uses ten different symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. These ten symbols, also known as digits, are used to represent all possible numerical values in the decimal system.

Each digit's position in a number determines its value, and the combination of digits creates unique numbers. This system is widely used in everyday life and forms the basis for arithmetic operations and mathematical calculations. Thus, the decimal number system consists of ten symbols, not nine.

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Answer:

73

Step-by-step explanation:

32+75=107

180-107=73

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12x-19=9x+5  Equation/Question

Step 2

12x-19=9x+5  Simplify

12x-19=9x+5

Step 3

12x-19=9x+5  Subtract 9x

3x-19=5

Step 4

3x-19=5  add 19

3x=24

Step 5

3x=24  Divide by 3

answer

x=8

Hope this helps

Total earning = Salary + 10% of sales

According to question, we have

14000 = 9500 + 10% of sales

4500 = 0.1 sales

sales = 4500*10 = 45000

So, her total sales was Rs 45000