Select all of the solution(s) to the equation. x = –8 x = –4 x = 0 x = 6 x = 192

Answers

Answer 1

Answer:

A B D

Step-by-step explanation:

Answer 2

The solutions of the given cubic equation are (x = -8), (x = -4), and (x = 6) and this can be determined by using the factorization method.

Given :

Equation is \(x^3+6x^2-40x=192\).

The following steps can be used in order to determine the solution(s) to the given equation:

Step 1 - Write the given equation.

\(x^3+6x^2-40x=192\)

Step 2 - Rewrite the above equation.

\(x^3+6x^2-40x-192=0\)

Step 3 - Now, factorize the above equation.

\(\begin{aligned}\\x^3-6x^2+12x^2-72x+32x-192&=0\\(x^2+12x+32)(x-6)&=0\\\end{aligned}\)

Step 4  -Again factorize the above equation.

\(\begin{aligned}\\(x-6)(x^2+8x+4x+32)&=0\\(x-6)(x+8)(x+4)&=0\\\end{aligned}\)

Therefore, the correct options are A), B), and C).

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Related Questions

An Olympic runner set a record for the 100m event. The time was ten and sixty two hundredths seconds. Express the decimal form of the given time

please help me

Answers

Answer: 62/100 = 0.62

PLS ANSWER THISHEHDNDJDJ

PLS ANSWER THISHEHDNDJDJ

Answers

9514 1404 393

Answer:

  1/12

Step-by-step explanation:

The slope of a ramp (or anything else) is the ratio of its "rise" to its "run."

The rise is the vertical change. Here, that is shown as 3 m.

The run is the horizontal change. Here, that is shown as 36 m.

Then the slope is ...

  \(\text{slope }=\dfrac{\text{rise}}{\text{run}}=\dfrac{3\text{ m}}{36\text{ m}}=\boxed{\dfrac{1}{12}}\)

__

Additional comment

If this were a line on a graph, the slope would be calculated the same way. When the rise is positive to the right, the slope is positive. On a graph, if the rise is negative as you go to the right, the slope is negative.

2.) Vito uses 9 liters of water to water 20 flower pots. He is wondering how many liters of water (w) it
would take to water 40 flower pots. He assumes he will use the same amount of water on each pot.
How many liters of water does it take to water 40 flower pots?

Answers

Answer:

18 liters of water to water 40 flower pots

Step-by-step explanation:

Because you doubled the amount of flower pots and you just do the same thing with the water

please, help! i really need it !! like rnnn!

please, help! i really need it !! like rnnn!

Answers

C, She can read 216 words per minute, bc 72 divided by 1/3 is 216

thabo rounded the number of marbles to the nearest 5. His answer was 340. write down 2 possible numbers for the actual number of marbles.​

Answers

Answer:

338 or 335 they both get rounded of to the nearest 5

2 possible numbers for the actual number of marbles 338 and 335, are rounded to the nearest 5.

What is rounding off of numbers?

We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, Thabo rounded the number of marbles to the nearest 5 and his answer was 340.

Therefore, 2 possible numbers for the actual number of marbles could be

Whether it's 338 or 335, both numbers are rounded to the nearest 5.

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A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary

Answers

The best explanation of how to find the experimental probability of rolling a 3:

To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have the Data as:

Number    Frequency     Probability

1                      4                  0.13

2                      6                  0.20

3                      5                  0.17

4                      7                  0.23

5                      3                  0.10

6                      5                  0.17

total                30                 1.00

To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials.

= 5/30

= 1/6

= 0.166

= 16.6% or 17%.

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an airplane is 58 m long. a scale model of the plane is 40.6 cm long.
determine the scale factor used to create the model as a decimal rounded
to the nearest thousandth​

Answers

If a scale model of the plane is 40.6 cm long, the scale factor used to create the model is approximately 1:142.857 or 0.007 rounded to the nearest thousandth.

To determine the scale factor used to create the model, we need to divide the length of the actual airplane by the length of the model airplane:

58 m / 40.6 cm

To perform this calculation, we need to convert the units so that they match. We can convert 58 m to cm by multiplying by 100:

58 m = 58 × 100 cm = 5800 cm

Now we can divide:

5800 cm / 40.6 cm = 142.857...

Rounding to the nearest thousandth, we get:

142.857... ≈ 142.857

Therefore, the scale factor used to create the model is approximately 1:142.857 or 0.007 rounded to the nearest thousandth.

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(9,−7) after a dilation by a scale factor of 4 centered at the origin?

Answers

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

What is dilation?

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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2x-y=5
2x-5y=-31
elimation method

Answers

Answer:

y=9, x=7

Step-by-step explanation:

2x-y=5 --> equation 1

2x-5y=-31 --> equation 2

change signs of equation 1

-2x+y=-5

solving method

-2x+y=-5                   (cut -2x and 2x because -2x+2x =0)

2x-5y=-31                       (likewise +y-5y and -5-31)

-4y= -36            (since -4 is multiplying on right side it will divide)

y= -36/-4             (cut negative with negative and simplify equation)

y= 9                  

put value of y in equation 1

2x-y=5

2x-9=5

2x= 14

x=14/2

x=7

Why is a data point with an​ x-coordinate of 0 a good point to use when creating a trend line for a data​ set? Select all that apply.


A. It is easy to compute the slope using this point.

B. The​ y-coordinate of this point is the​ y-intercept.

C. The​ y-coordinate of this point is always positive.

D. The coordinates of this point are both 0

Answers

This point does not always have a positive y-coordinate, it is still a useful point in creating a trend line.

A. It is easy to compute the slope using this point.

B. The​ y-coordinate of this point is the​ y-intercept.

A data point with an x-coordinate of 0 is a good point to use when creating a trend line for a data set because it is easy to compute the slope using this point. The y-coordinate of this point is also the y-intercept, which is the point at which the line crosses the y-axis. Additionally, the coordinates of this point are both 0, making it easy to locate on a graph. While this point does not always have a positive y-coordinate, it is still a useful point in creating a trend line.

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Entrywise eigenvector analysis of random matrices with low expected rank (Abbe, Fan, Wang, Zhong).pdf

Answers

Recovering low-rank structures via eigenvector perturbation analysis is a common problem in statistical machine learning, such as in factor analysis, community detection, ranking, matrix completion, among others.

While a large variety of bounds are available for average errors between empirical and population statistics of eigenvectors, few results are tight for entrywise analyses, which are critical for a number of problems such as community detection.

This paper investigates entrywise behaviors of eigenvectors for a large class of random matrices whose expectations are low-rank, which helps settle the conjecture in Abbe et al. (2014b) that the spectral algorithm achieves exact recovery in the stochastic block model without any trimming or cleaning steps. The key is a first-order approximation of eigenvectors under the ℓ∞ norm:

\(u_{k }\)≈1/ λ (\(\frac{A u^*_{k}}{*k}\))

where {uk} and {u∗k} are eigenvectors of a random matrix A and its expectation EA, respectively. The fact that the approximation is both tight and linear in A facilitates sharp comparisons between uk and u∗k. In particular, it allows for comparing the signs of uk and u∗k even if ∥uk−u∗k∥∞ is large. The results are further extended to perturbations of eigenspaces, yielding new ℓ∞-type bounds for synchronization (Z2-spiked Wigner model) and noisy matrix completion.

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Rewrite the following equation in slope-intercept form. 14x − y = –15

Answers

y = 14x + 15 would be the slope-intercept form

hello good day
can you help me please:(​

hello good day can you help me please:(

Answers

Answer:

35. D

36. A

37. D

38. D

PLSS HELP YALLLLLLLLL
Which equation shows the correct use of the Distributive Property?
−4(3/2x−1/2)=−15

A- 6x + 4 = –15
B- 2x – 1/2 = –15
C- –6x – 2 = –15
D- –6x + 2 = –15

Answers

Answer:

D

Step-by-step explanation:

Hope this helped!

Happy Halloween!

6> z(10-z)
Which number is a solution of the inequality?

Answers

Answer:

6 > z(10 - z)

6 > 10z - z^2

z^2 - 10z^2 + 6 < 0

z > 9.36, z < 0.64

Therefore, option (0) is the correct answer.

Step-by-step explanation:

HOPE IT HELP


Which of the following describe -1 4/6? Select all that apply.
rational number
irrational number
whole number
integer

Answers

Answer:

rational number

Step-by-step explanation:

as the denominator is not zero

2.
Peter's salary last week was $80. This week he received $90. What percent of increase does this represent?

Answers

Answer:

The increase is $90 - $80 = $10.

Step-by-step explanation:

To find the percent of increase, we start by finding the amount of increase as a fraction or proportion of the original amount. In this case, the amount of increase is:

$10 / $80 = 0.125

To convert this to a percentage, we multiply by 100:

0.125 × 100 = 12.5%

Therefore, Peter's salary increase represents a 12.5% increase from last week's salary.

hope it helps:)

It is not 10%
Check step by step answer

The school chess club has 6 girls and 4 boys. Two students are to be selected at random to represent their school in a statewide tournament. The coordinator of the club writes each student’s name on a card and places the cards in a paper bag.



What is the probability that the coordinator will draw the name of a girl followed by the name of another girl, if the first name is not returned to the bag? Express your answer as a percent.

Answers

Answer:

33.3%

Step-by-step explanation:

6/10 x 5/9 which equals 1/3 when simplified, or 33.3%

What does y equal?
Will Give Brianlest!

What does y equal?Will Give Brianlest!

Answers

Answer:

\(\boxed{\tt y=48}\)

Step-by-step explanation:

\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)

Cross multiply:-

\(\tt 3 \times y=(9)\times (16)\)

\(\tt 3y=144\)

Divide both sides by 3:-

\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)

Simplify:-

\(\tt y=48\)

_________________

Hope this helps!

Answer:y=48 I hope this is helpful good luck have a good day

Step-by-step explanation:

3/16 = 9/y

Determine the defined range

3/16=9/y y=0 cross out the equal sign y=0

Simplify the equation using cross-multiplication

3y=144

Divide both sides of the equation by 3

y=48

Check if the solution is in the defined range

How many fourths are in 3/4?

4/16
1/2
3
4

Answers

Answer:

3 because I just answered in the thing

The number of fourths in fraction 3/4 is 3.

The correct option is 3.

To determine how many fourths are in 3/4, we can divide 3/4 by 1/4, as dividing by a fraction is equivalent to multiplying by its reciprocal.

So, 3/4 divided by 1/4 can be written as (3/4) x (4/1):

(3/4) x (4/1)

= (3 x 4) / (4 x 1)

= 12/4

Simplifying the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 4:

12/4

= (12/4) / (4/4)

= 3/1

Therefore, there are 3-fourths (3/4) in 3/4. This means that 3/4 is equivalent to 3 times 1/4.

Out of the provided options, the correct answer is 3.

Hence, the number of fourths in 3/4 is 3.

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Find the area enclosed by the circle (x-2)^2 + y^2 = 4 and the line x = 3.

Answers

Step-by-step explanation:

(3-2)^2+y^2=4

(9-4)+y^2=2^2

the power of y and 2 should be cut now

5+y=2

5-2=y

3=y

y=3

:. the area of enclosed by a circle is 3 cm

Refer to the photo attached.
Find the area enclosed by the circle (x-2)^2 + y^2 = 4 and the line x = 3.

DUE TODAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!

DUE TODAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!

Answers

Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

Sydney described a ruler as a length of plastic that starts at 0 and continues on to 12 inches. The geometric term that best describes Sydney's description is a

Answers

Answer:

Line segment because it is part of a line that has two endpoints which are the 0 inch mark and the 12 inches mark.

What is the square number of 13?

Answers

Answer: If you wanted to know what 13x13, or the square of something is, then the value is 169. Or if you wanted to know the square root of 13, it would be about 3.606.

Step-by-step explanation: A square number is any number multiplied by itself = that number. For example, 12x12 = 144, which means the square root of 144 is 12, and the square number of 12 is 144.

One angle of a parallelogram measures 45°. What are the measures of the other three angles
in the parallelogram?

Answers

Answer: 135, 45, and 135 are the three other angles

==================================================

Explanation:

For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.

i’ll mark you brainliest

ill mark you brainliest

Answers

Is this the area or the perimeter

an rock is thrown upward from a platform that is 154 feet above ground at 35 feet per second. use the projectile formula h = − 16 t 2 v 0 t h 0 to determine when the rock hit the ground.

Answers

The rock hits the ground approximately 4.215 seconds after it was thrown upward from the platform.

To determine when the rock hits the ground, we can use the projectile formula for height,

which is given as h = -16t^2 + v0t + h0,

where h represents the height,

t represents time,

v0 is the initial velocity,

and h0 is the initial height.

In this case, the rock is thrown upward from a platform 154 feet above the ground, so h0 = 154.

The initial velocity is given as 35 feet per second, so v0 = 35.

We need to find the value of t when the height h becomes 0.

Setting h = 0 in the projectile formula, we get:

0 = -16t^2 + 35t + 154

This is a quadratic equation that can be solved using various methods such as factoring, completing the square, or using the quadratic formula.

Solving this equation, we find two values of t:

t = 4.215 and t = -2.94.

Since time cannot be negative in this context, we discard the negative value.

Therefore, the rock hits the ground approximately 4.215 seconds after it was thrown upward from the platform.

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find minimum number of coins that make a given value

Answers

The given coins [1, 2, 5] and the value 11, the minimum number of coins needed is 2.

Here are the steps to find the minimum number of coins:

1. First, we create an array of size equal to the given value, initialized with a very large number. This array will store the minimum number of coins needed to make each value from 0 to the given value.

2. We set the first element of the array to 0, as it doesn't require any coins to make a value of 0.

3. Next, we iterate through all the coins available and for each coin, we iterate through all the values from the coin value to the given value.

4. For each value, we calculate the minimum number of coins needed by taking the minimum of the current minimum and the value obtained by subtracting the coin value from the current value and adding 1 to it.

5. Finally, we return the value stored in the last element of the array, which represents the minimum number of coins needed to make the given value.

Let's consider an example to better understand the process:

Given coins: [1, 2, 5]
Given value: 11

1. Initialize the array with [INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF] (INF represents infinity).

2. Set the first element of the array to 0, so it becomes [0, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF].

3. For the first coin (1), iterate through the array from index 1 to 11.

  - For index 1, the minimum number of coins needed is 0 + 1 = 1.
  - For index 2, the minimum number of coins needed is 0 + 1 = 1.
  - For index 3, the minimum number of coins needed is 0 + 1 = 1.
  - ...
  - For index 11, the minimum number of coins needed is 0 + 1 = 1.

  The array becomes [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1].

4. For the second coin (2), iterate through the array from index 2 to 11.

  - For index 2, the minimum number of coins needed is 1 (minimum of 1 and 0 + 1 = 1).
  - For index 3, the minimum number of coins needed is 1 (minimum of 1 and 0 + 1 = 1).
  - For index 4, the minimum number of coins needed is 1 (minimum of 1 and 1 + 1 = 2).
  - ...
  - For index 11, the minimum number of coins needed is 1 (minimum of 1 and 1 + 1 = 2).

  The array becomes [0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2].

5. For the third coin (5), iterate through the array from index 5 to 11.

  - For index 5, the minimum number of coins needed is 2 (minimum of 2 and 0 + 1 = 1).
  - For index 6, the minimum number of coins needed is 2 (minimum of 2 and 1 + 1 = 2).
  - ...
  - For index 11, the minimum number of coins needed is 2 (minimum of 2 and 2 + 1 = 3).

  The array becomes [0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2].

6. The minimum number of coins needed to make the given value (11) is 2.

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estoy conduciendo pro la carretera durante un viaje a través del país, avanzas a una velocidad constante de 60 millas por hora ¿cuál es la pendiente de la recta que representa esta relación?
\(60\)

Answers

Answer:

Tu intiendo engles? Me inteindo poquito espanol but me no inteindo mas/

Frank typed four pages in 24 minutes. Rosetta typed six pages in 30 minutes. Who typed more pages per minute? Show your work.​

Answers

Answer:

type is takes 80 minutes to type 24 pages in how long will he take to type 87 feet pages? Look into the solution. 24 pages are done in 80 minutes will write it down. Then 87 pages are is equals to X. So X is equals to 87 in 280 divided by 24. Then the answer will be to 290 minutes. In 290 minutes A type is will complete 87 pages.

Solution:

For typing 24 pages, time is required = 80 minutes

For typing 1 page, time is required = \frac{80}{24}\min utes

And for typing 87 pages , time is required

=\frac{80\times87}{24}=290\min utes

Other Questions
thomas malthus' prediction of mass starvation resulting from diminishing marginal returns has not been fulfilled because group of answer choices a) the law of diminishing marginal returns did not hold in this case. b) malthus ignored other factors like technological change. c) relative to malthus' day, larger percentage of today's labor works in the agricultural sector. Below is the data on the percentage of 25- to 34-year-olds in each of the 50 states and the District of Columbia, listed in alphabetical order, who had some type of postsecondary degree as of 2010: 31.5 32.9 33.0 28.6 37.2 43.3 45.9 37.2 68.8 36.2 35.5 31.5 32.9 33.0 28.6 37.2 43.3 45.9 37.2 68.8 36.2 35.5 40.5 37.2 45.3 36.1 45.5 42.3 33.3 30.3 37.2 45.5 54.3 37.2 49.8 32.1 39.3 40.3 44.2 28.4 46.0 47.2 32.8 32.2 38.5 44.5 44.6 40.9 29.5 41.3 35.4 a. Identify all the outliers. b. Construct a stem-and-leaf plot. c. Construct a relative frequency To train for a race, Rosmaria runs 1.5 hours longer each week than she did the previous week. In the first week, Rosmaria ran 3hours. How much time will Rosmaria spend running if she trains for 12 weeks?first to answer with good explanation gets brainlest which passage of scripture reminds us that god has shown himself and his attributes to all people? group of answer choices revelation 1 which equation can be used to find the value of x? krepps corporation produces a single product. last year, krepps manufactured 20,000 units and sold 15,000 units. production costs for the year were as follows: direct materials $ 170,000 direct labor $ 110,000 variable manufacturing overhead $ 200,000 fixed manufacturing overhead $ 240,000 sales totaled $825,000 for the year, variable selling and administrative expenses totaled $108,000, and fixed selling and administrative expenses totaled $165,000. there was no beginning inventory. assume that direct labor is a variable cost. the contribution margin per unit was: group of answer choices $19.00 per unit $23.80 per unit $25.60 per unit $31.00 per unit a college dean asks an instructor to develop course lectures for an organizational behavior course by the end of the semester. in order to monitor progress against this goal, the instructor establishes mini-milestones, such as planning to develop lectures for at least two chapters per week. what term describes these internalized milestones? chegg use the gram-schmidt process to determine an orthonormal basis for the subspace of p2 spanned by the polynomials f(x), g(x) and h(x). the hydrogens and oxygen of a water molecule are held together by bonds. select all that apply. A game developer is purchasing a computing device to develop a game and recognizes the game engine software will require a device with high-end specifications that can be upgraded. Which of the following devices would be BEST for the developer to buy? performing substantive tests of stock options granted to senior management, an auditor most likely would: How to do make this more detailed? 1-2 sentences :D They made their favorite foods for the party. Based on the Management in Action case, which of the following is an inside force for change at Carnival?Multiple Choicea.manager's behaviorb.customer concernsc.political pressuresd.shareholder concerns Healthy Eating Foods Company is a distributor of nutritious snack foods such as granola bars. The firm's general ledger balances on December 31, 2021 are found on the general ledger tab below. Information for the firm's December 31, 2021 adjusting entries is found below. ADJUSTMENTS a.) Prepare the adjusting entry related to beginning Merchandise inventory. b.) Merchandise inventory on December 31, 2021, is $78,000. Prepare the required adjusting entry. c.) During 2021, the firm had net credit sales of $560,000; past experience indicates that 0.5 percent of these sales should result in uncollectible accounts. d.) On December 31, 2021, an inventory of supplies showed that items costing $1,180 were on hand. e.) On May 1, 2021, the firm purchased a one-year insurance policy for $5,400. f.) Three years ago the firm purchased office equipment for $8,300. At that time, the equipment was estimated to have a useful life of six years and a salvage value of $350. g.) Three years ago the firm purchased warehouse equipment for $28,000. At that time, the equipment was estimated to have a useful life of five years and a salvage value of $4,000. h.) On November 1, 2021, the firm issued a four-month, 12 percent note for $32,000. i.) On December 31, 2021, the firm owed salaries of $5,000 that will not be paid until 2022. j.) On December 31, 2021, the firm owed the employer's social security tax (assume 6.2 percent) and Medicare tax (assume 1.45 percent) on the entire $5,000 of accrued wages. k.) On December 31, 2021, the firm owed the federal unemployment tax (assume 0.6 percent) and the state unemployment tax (assume 5.4 percent) on the entire $5,000 of accrued wages. When the price of a product is increased 20 percent, the quantity demanded decreases 24 percent. The price-elasticity-of-demand coefficient for this product is a. 1.2 b. 12 c. 0.83 d. 8.3 The legislation prohibiting opium smoking in opium dens or houses was most likely strongly influenced and prompted by _____. Which method of production describes the process of one unit manufactured at a time? For one child, a childcare facility charges $350 per month for preschool and $5.00 per hour for each additional hour for after-school care. The function below can be used to determine f(h), the monthly fee for after-school care and preschool, where h represents the number of hours spent in after-school care. f(h) = 350 + 5h If the total monthly bill for one child was $750, what was the total number of hours the child spent in after-school care? A. 100 B. 90 C. 88 D. 80 Which of these questions would sociologists of religion ask?-How do a religion's practices enhance solidarity between its members?-In what circumstances does economic stability lead to an increase in religious adherence?-What factors influence an increase in religious conflict?-Which religions encourage moral or ethical behavior in their followers? according to reader's digest, 34% of primary care doctors think their patients receive unnecessary medical care. use the z-table. a. suppose a sample of primary care doctors was taken. show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. (to decimals) (to decimals) b. what is the probability that the sample proportion will be within of the population proportion? round your answer to four decimals. c. what is the probability that the sample proportion will be within of the population proportion? round your answer to four decimals. d. what would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? why? the probabilities would - select your answer - . this is because the increase in the sample size makes the standard error, , - select your answer - .