1. What is the predecessor of whole
number o?​

Answer:

  1) x > 9

Step-by-step explanation:

You want the solution to the inequality 7 -2/3x < x -8.

Adding 8 to both sides, we get ...

  15 -2/3x < x

Adding 2/3x to both sides gives ...

  15 < 5/3x

Multiplying both sides by 3/5, we have ...

  9 < x

Rearranging to put x on the left gives ...

  x > 9 . . . . . matches choice 1

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Answer:

C (-3,2)

Step-by-step explanation:

Well point Q on the parabola is located on point (1,2),

The corresponding point means the point located all the way to the left of Q which is (-3,2).

Thus,

the point that is corresponding to point Q is C. (-3,2).

Hope this helps :)

Answer:

2/25

Step-by-step explanation:

8% = 8/100 = 2/25

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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(a)The probability that the selected individual owns shares in the balanced fund is 8%, that is 0.08.

(b)The probability that the selected individual owns shares in a bond fund is 26%.

(c)The probability that the selected individual does not own shares in a stock fund is 57%.

(a) A probability is a number that indicates how likely an event is to occur. In this case, the event is the selected individual owning shares in the balanced fund. The percentage of customers who own shares in the balanced fund is given as 8%. This means that if 100 customers own shares in just one fund, 8 of them would own shares in the balanced fund.

(b) To find the probability that the individual owns shares in a bond fund, we need to add up the percentages of customers who own shares in each of the bond funds:

Short bond: 14%

Intermediate bond: 7%

Long bond: 5%

Total bond funds: 14% + 7% + 5% = 26%

So, the probability that the selected individual owns shares in a bond fund is 26%.

(c) To find the probability that the selected individual does not own shares in a stock fund, we need to find the complement of the probability that the individual owns shares in a stock fund. The probability that the individual owns shares in a stock fund is the sum of the percentages of customers who own shares in each of the stock funds:

Moderate-risk stock: 25%

High-risk stock: 18%

Total stock funds: 25% + 18% = 43%

So, the probability that the selected individual does not own shares in a stock fund is 1 - 43% = 57%.

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--The question is incomplete, answering to the question below--

"A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows.

Money-market 23%

High-risk stock 18%

Short bond 14%

Moderate-risk stock 25%

Intermediate bond    7%

Balanced 8%

Long bond 5%  

A customer who owns shares in just one fund is randomly selected.

(a)What is the probability that the selected individual owns shares in the balanced fund?

(b) What is the probability that the individual owns shares in a bond fund?

(c) What is the probability that the selected individual does not own shares in a stock fund?"

Answer:

$33.60

Step-by-step explanation:

Original price of shirt: $40

Percent discount: 20%

Amount of discount: 20% of $40 = 0.2 × $40 = $8

Price after discount: $40 - $8 = $32

Percent of tax: 5%

Amount of tax: 5% of $32 = 0.05 × $32 = $1.60

Total paid after discount and tax: $32 + $1.60 = $33.60

Answer: Lydia paid the amount of 33.60 dollar

Step-by-step explanation:

Retail price of shirt = 40 dollar

Discount = 20%

Discount value:

=20% of 40 dollar                   [ 20/100 * 40 ⇒ 1/5 * 40 ⇒ 40/5 = 8 ]

= 8 dollar  [ discount value]

Price of shirt after discount :

= 40 - 8

= 32 dollar

As she paid 5% discount on the discounted price ( 32 dollar )

So,  5% of 32 = 1.6 dollar        [ 5/ 100 * 32 ⇒  1/20 * 32 ⇒ 32/20 = 1.6]

Amount to pay = 32( price after discount)  + 1.6 ( Tax)

= 33.60 dollar

Answer:600

Step-by-step explanation:

300,000/ 500 =600

The properties of a rectangle are;

A rectangle is described as a quadrilateral shape with only two pairs of its sides equal.

The properties of a rectangle are given as;

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The properties of a rectangle is listed below;

A rectangle is referred to as a quadrilateral

The diagram of a rectangle is attached

A rectangle is a 4 sided shape and also four vertices

A rectangle is referred to as a quadrilateral

The opposite sides of a rectangle is opposite and equal to each other

The diagonals of a rectangle are equal

The diagonals of a rectangle bisects each other

Each interior angle of a rectangle is equal to 90°

The sum of all the interior angles is equal to 360°

Therefore, a four sided quadrilateral with two opposite sides equal is a rectangle.

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The measures of central tendency of the first psychology exam in a semester are the average score, which was an 85.

The correlation coefficient and the range of scores from 95 to 65 are not measures of central tendency either.

The standard deviation is a measure of variability, not central tendency, that the measures of central tendency of the first psychology exam are the average and median scores. This states that the mode, correlation coefficient, range of scores, and standard deviation are not measures of central tendency.

Hence, the measures of central tendency for the first psychology exam in a semester are the average score (85) and the median score (80).

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The measures of central tendency for the psychology exam scores include the average, median, and mode.

The measures of central tendency of the first psychology exam in a semester include the average score, median score, and mode (most frequently occurring score).

The average score on the exam was 85, which represents the mean of all the scores.

The median score on the exam was 80, which represents the middle value when all the scores are arranged in order.

The most frequently occurring score was 82, which represents the mode of the scores.

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a. In order to find out the ratio of capital to labor, we will use the formula given below:Marginal product of capital / Price of capital = Marginal product of labor / Price of laborHere, marginal product of capital = dQ/dK = 30b - Kmarginal product of labor = dQ/dL = 12KPrice of capital = Rk = $40Price of labor = RL = $20.

We know that, the total cost of production is: C = RkK + RL LSubstituting the values of Rk and RL in the above equation, we get: C = $40K + $20LNow, let us calculate the marginal cost of production, which is given by dC/dQ.Marginal cost of production (MC) = dC/dQ = d($40K + $20L)/dQ = 40K/30b - K + 20L/12KWe need to minimize the total cost, which is given by:Total cost = RkK + RL L = 40K + 20LNow, let us differentiate the above equation with respect to K and equate it to zero, to get the value of K.K = 3b.

Substituting the value of K in the equation for total cost, we get:L = 2b/3Therefore, the ratio of capital to labor that minimizes the firm's total cost is 3:2.b. In order to produce 60 video games per week, we need to substitute Q = 60 in the production function:Q = 30Kb - Kd = 60b - KdSolving for K, we get:K = 2b/3Substituting the value of K in the above equation, we get:L = 4b/3Therefore, the firm will need 2 units of capital and 4 units of labor to produce 60 video games per week.c. The average cost per unit of production is given by the formula:C/Q = RkK/Q + RL L/QSubstituting the values of Rk and RL, we get:C/Q = $40K/Q + $20L/QSubstituting the values of K and L, we get:C/Q = $40(2/3) + $20(4/3) = $40Therefore, the average cost per unit of production will be $40.

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Answer:

  all real numbers

Step-by-step explanation:

The domain of any polynomial function is "all real numbers."

Answer:

Step-by-step explanation:

the answer is No its not similar

because the factors don't work

Using a percentage, the total value of the furniture that was sold $3,500.

A percentage is the term used to describe a fraction of a total expressed as a number between 0 and 100. There are three percentages: 100% for the entire thing, 50% for half of it, and 0% for the rest.

After dividing the fraction by the total, multiply the result by 100 to arrive at the percentage..

245 = 0.07x

divide both sides by 0.07:

245/0.07 = 0.07x/0.07

x = $3,500

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Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

1+2=3

Answer:

x=4

Step-by-step explanation:

3x+5=17 is the equation you need to setup as all square sides are equalivent. Simplify the equation getting 3x=12, Divide all terms by 3 and you get x=4.

Answer: x = 4

Step-by-step explanation:

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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Answer:

60

Step-by-step explanation:

Answer:

60 droplets

Step-by-step explanation:

10 minutes = 600 seconds

since a droplet falls every 10 secs we have to divide 10 by 600 to get the number of water droplets

600 div 10 is 60

meaning 60 droplets will fall in a matter of 10 minutes

Some tools that Tim O'Brien uses as a writer to make the reader feel the immediacy and reality of war include vivid sensory details, first-person narration, fragmented structure,

blurring the lines between fiction and reality. He creates tension through suspenseful storytelling and exploring moral dilemmas.Tim O'Brien employs various literary techniques to immerse the reader in the immediate and realistic experiences of war. He often incorporates vivid sensory details, such as describing the sights, sounds, smells, and physical sensations of the battlefield. By engaging the reader's senses, O'Brien aims to evoke a visceral response, making the war feel vivid and tangible.Furthermore, O'Brien frequently utilizes first-person narration, allowing the reader to experience events through the eyes of the characters. This personal perspective enhances the immediacy and authenticity of the war narrative, enabling readers to emotionally connect with the characters' struggles and emotions.Another tool O'Brien employs is a fragmented narrative structure. He jumps between different moments in time, blurring the linearity of events. This technique reflects the fragmented and disorienting nature of war itself, immersing the reader in the chaos and confusion experienced by soldiers

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Answer:

3,000ft

Step-by-step explanation:

First set up the equation:

Start: 13,000 ft
Middle: 10,000 ft
End: ??

Lindsey started at 13,000ft, dropped 10,000ft, and then the remainder of it is what we are asked to find out. So all we have to do is 13,000 - 10,000 which equals 3,000.

Both arguments are valid.

The validity of the arguments can be determined by using the concept of propositional logic.

This argument can be represented as: (P∨D∨B)∧(D∨C∨B). The form of the argument is p ∧ q, which is a valid form.

This argument can be represented as: P∨C. The form of the argument is p ∨ q, which is also a valid form.

So, both arguments are valid. The validity of an argument depends on the form of the argument and not the specific proposition used. In both cases, the form of the argument is valid, so the argument is also valid.

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The right answer involves doing both studies with the identical data set, drawing conclusions regarding means, and using a two-sided significance test.

An algorithm which it sets two ratios to the same value is called a fraction. You might, for instance, write its ratio as follows: 1: 3 in the case of 1 male & Three girls (for every one boy there are 3 girls) There are 3 out of 4 females and 1 out of 4 guys. 0,25 are men (by dividing 1 by 4)

A ratio that connects a part to yet another is a percentage. For instance, there are 100 students in the class containing 20 men or 80 women. The percentage of males is 20/100, or 20%. 80 out of 100, or 80%, are women.

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Answer:

x = 3, y = 11/7.

Step-by-step explanation:

6x - 7y = 7

x - 7y  = -8   Subtract:

5x = 15

x = 3

3 - 7y = -8

-7y = -11

y = 11/7.

Answer: x = 3 and y =  11/7

Step-by-step explanation: 6x-7y+(-6x) = 7+(-6x)                                             -7y/-7 = -6x+7/-7                                                                                                     y = 6/7x-1                                                                                                               x-7 (6/7 (x) -1) = -8                                                                                             -5x+7+(-7) = -8+(-7)                                                                                         -5x/-5 = -15/-5                                                                                                        x = 3                                                                                                                         y = 6/7x-1                                                                                                               y = (6/7) (3) -1                                                                                                         y = 18/7-1                                                                                                                 18/7-1/1                                                                                                                 18/7-7/7                                                                                                                 y= 11/7                                                                                                                     x = 3 and y =  11/7

According to the given statement the overall time required for the flocculation is approximately 10.67 minutes.

To calculate the overall time required for the flocculation step, we need to use the formula:.

Overall Time = Total Volume / Flow Rate

First, we need to find the total volume of the two parallel flocculation basins.

Total Volume = Length x Width x Depth x Number of Basins

Since there are two basins, the length of each basin is 12 m.

The width is 4 m, and the water depth is also 4 m.

Total Volume = (12 m + 12 m) x 4 m x 4 m = 192 m³

Next, we need to convert the flow rate from m³/s to m³/min.

Flow Rate = 0.3 m³/s x 60 s/min = 18 m³/min

Finally, we can calculate the overall time by dividing the total volume by the flow rate.

Overall Time = Total Volume / Flow Rate = 192 m³ / 18 m³/min ≈ 10.67 min

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The overall time required for the flocculation step in this plant is approximately 10.67 minutes. This means it takes approximately 10.67 minutes for the water to pass through the two parallel flocculation basins.

To calculate the overall time required for the flocculation step, we need to consider the hydraulic detention time in the flocculation basins. The hydraulic detention time is the average time it takes for water to pass through the flocculation basins.

First, let's calculate the volume of water that can be held in the basins:
Volume = length × width × depth = 12 m × 4 m × 4 m = 192 m³

Since the plant treats 0.3 m³/s, we can calculate the hydraulic detention time:
Hydraulic Detention Time = Volume / Flow Rate = 192 m³ / 0.3 m³/s = 640 s

Now, let's convert this time to minutes:
Overall Time = Hydraulic Detention Time / 60 = 640 s / 60 = 10.67 min (rounded to two decimal places)

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There will be 16 business cards in total. Each of the 4 people exchanges cards with the other 3 people.

When Person A exchanges business cards with Person B, it results in 2 cards on the table. The same happens when Person A exchanges cards with Person C and Person D, resulting in a total of 6 cards. This process is repeated for Person B, Person C, and Person D, leading to a total of 6 cards exchanged by each person individually. Since there are 4 people, we multiply 6 by 4, resulting in 24 cards exchanged. However, we need to divide this number by 2 because each card is counted twice (once for each person exchanging). Thus, we have a total of 12 unique cards on the table. Adding the initial 4 cards placed by the individuals themselves gives us a final count of 16 business cards.

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Answer: A) 120=3S+5L B)S number of small shirts sold. L number of large shirts sold. C) 18

Step-by-step explanation:

MATH