There are 826 identical plastic chips numbered 1 through 826 in a box What is the probability of reaching into the box and randomly drawing a chip number smaller than 446? Express your answer as a simplified fraction or decimal rounded to four decimal places

3.142*4.5²=63.6255

Answer=63.63

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The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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The cost of goods sold (COGS) is $130,000.

To determine the cost of goods sold (COGS), we can use the following formula:

COGS = Sales - Gross Profit

Gross Profit can be calculated as:

Gross Profit = Net Income + Depreciation + Interest Paid

Given the information provided:

Sales = $260,000

Depreciation = $25,000

Interest Paid = $45,000

Net Income = $60,000

Substituting these values into the formula, we have:

Gross Profit = $60,000 + $25,000 + $45,000 = $130,000

Now, we can calculate the COGS:

COGS = $260,000 - $130,000 = $130,000

Therefore, the cost of goods sold is $130,000.

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Answer:

The answer is

→ Radius ≈ 4.24ft

Step-by-step explanation:

Given: 320ft³

Were going to use this formula:

\(V = \frac{4}{3} \pi r^3\)

Step 1: Solve for r.

Step 2: Round up 4.24314

4.24314 → 4.24

Hence, 4.24ft is your answer.

The spread of the data in the histogram is uneven or skewed to the right.

A histogram is a graphical representation of data used to display the distribution of values in a dataset, showing data in bins or intervals along the horizontal axis.

The data distribution in the histogram is uneven or tilted to the right. This suggests that there are fewer students who have gone water skiing less frequently (1 to 5 trips) and more students who have gone water skiing more frequently (11 to 15 trips). The frequency is greatest between 11 and 15 visits, which is reflected by the largest bar in the histogram.

In given problem, the skewed distribution of the given data shows that there are more no. of the students doing water-skiing regularly than those who are doing it less frequently.

This might imply that there is a group of students who are more experienced or enthusiastic about water skiing, and they have gone on more excursions than other students who have gone on less trips. It also implies that the majority of students fall within the 11 to 15 trip period, which might imply a common pattern or trend in the data.

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The best description of the spread of the data is that it is skewed or unevenly distributed.

A histogram is a graphical representation of data used to display the distribution of values in a dataset, showing data in bins or intervals along the horizontal axis.

Based on the given histogram, the data is not evenly distributed across the five intervals. The majority of students have been water-skiing between 11 and 15 times, with a frequency of 5. There are fewer students who have been water-skiing between 16 and 20 times, with a frequency of 4, and even fewer students who have been water-skiing between 21 and 25 times, with a frequency of 3.

The spread of the data refers to how far apart the values in the dataset are from each other. In this case, the data is not evenly spread across the different intervals. The values in the dataset are more concentrated in the interval of 11 to 15, and less concentrated in the intervals of 1 to 5 and 21 to 25. This indicates that the majority of students have been water-skiing a similar number of times, while fewer students have been water-skiing either a lot or a little.

Therefore, the best description of the spread of the data is that it is skewed or unevenly distributed.

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The complete question is:

A group of students was asked about the number of times they had been water-skiing. The data is shown in the histogram.

A histogram titled Water Skiing Trips. The x-axis is labeled Number of Times Water Skiing and has intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every 1 units up to 6. There is a shaded bar for 1 to 5 that stops at 1, for 6 to 10 that stops at 2, for 11 to 15 that stops at 5, for 16 to 20 that stops at 4, and for 21 to 25 that stops at 3.

Which of the following best describes the spread of the data? Explain its meaning in this situation?

Answer:

b.

Step-by-step explanation:

the percent error for this year was higher. deanna estimated better last year.

hope it helps!

Answer:  12 different outfits

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

Explanation:

We simply multiply the values given to us. Think of a table that has 3 rows and 4 columns. The rows represent the different colors of pants Terry can wear. Each column is a different color shirt. Since we have 3 rows and 4 columns, we have 3*4 = 12 cells inside the table. Each cell represents a combination of pants and shirt colors. This means there are 12 different outfits possible.

Answer:

12

Step-by-step explanation:

if he has 3 pairs of pants and doesn't care what colors he wears then each shirt can go with the pants once and since there a 4 shirts and three pants then 3 times 4 =12

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

180 dollars

Step-by-step explanation:

270 for 16 hours = 16.875 dollars for each hour

15.00 an hour will be paid to larry

larry is doing 3/4 of those 16 hours

12 hours

15 x 12

larry gets 180 dollars for 12 hours of work

hope this helps x

Answer:

the answer is b you have it right

Step-by-step explanation:

your welcome

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

Step-by-step explanation:

Q: What is the coefficient in 6x^2

A: 6

Note: It is USUALLY a number

Answer:

Step-by-step explanation: A= (Pi) x r^2

The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).

It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.

As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.

Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.

Therefore, it follows from percent proportion that;

( 8 + x ) / ( 15 + x ) = 75 / 100

The simplified equation which represents the required situation is therefore;

( 8 + x ) = 0.75 ( 15 + x ).

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Step-by-step explanation:

x-5 < -3

or, x < -3 +5

or, x < 2

Now,

x +8 >2

or, x >2 - 8

or, x >-6

Answer:

\(\right)\left(\dfrac{1}{216} \right)\)

Step-by-step explanation:

Given expression:

\(\left(\dfrac{1}{6} \right)^3\)

Expand following:

\(\left(\dfrac{1}{6} \right)\left(\dfrac{1}{6} \right)\left(\dfrac{1}{6} \right)\)

Distribute inside parenthesis:

\(\right)\left(\dfrac{1}{36} \right)\left(\dfrac{1}{6} \right)\)

Multiply/Simplify following:

\(\right)\left(\dfrac{1}{216} \right)\)

Answer:

\(\frac{1}{216}\)

Step-by-step explanation:

\((\frac{a}{b})^n=\frac{a^n}{b^n} \\\rule{150}{0.5}\\(\frac{1}{6})^3 = \frac{1^3}{6^3}\\\\ \rightarrow 1^3 = 1\\\rightarrow 6^3 = 216\\\text{Therefore:}\\\\\boxed{(\frac{1}{6})^3 = \frac{1}{216}}\)

Hope this helps.

Answer:

To solve this problem, we need to first calculate the amount of money Deanna paid her broker for the purchase of the stock.

1% of $24,000 is 0.01 x $24,000 = $240

So Deanna paid her broker a fee of $240.

Next, we need to calculate the total cost of buying and selling the stock.

Total cost = cost of buying + cost of selling

The cost of buying is the amount Deanna paid for the stock plus the broker fee:

Cost of buying = $24,000 + $240 = $24,240

The cost of selling is the amount Deanna received for the stock minus the broker fee:

Cost of selling = $29,100 - $35 = $29,065

Finally, we can calculate Deanna's profit:

Profit = Selling price - Total cost

Profit = $29,065 - $24,240 = $4,825

Therefore, Deanna's profit from the sale of the stock is $4,825.

Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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In this scenario, the shape of the sampling distribution of X-bar is approximately normal.

The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.

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A financial register is a good reference for tracking spending patterns.

A financial register is tool used for managing personal finances because it allows to record and track spending patterns in a systematic way. It typically includes fields for recording transaction details such as date, description, category and amount.

By updating the financial register with all expenses, one can gain insights into spending habits, identify areas where you may be overspending and make informed decisions about budgeting and saving.

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Answer:

checkbook

Step-by-step explanation:

A checkbook register is a good reference for tracking spending patterns.

The best management for an 8-month-old infant with a ventricular septal defect, significant growth failure, and recurrent pneumonia would depend on the specific details of the case and should be determined by a healthcare professional.

Medical management could include:

Close monitoring of the infant's growth, nutritional status, and overall development.

Providing appropriate nutritional support, such as fortified formula or specialized feeds, to address the growth failure.

Administering medications to manage symptoms, such as diuretics to reduce fluid accumulation and medications to prevent and treat pneumonia.

Implementing immunizations to reduce the risk of infections, including pneumonia.

Surgical correction of the ventricular septal defect may be recommended depending on the severity and clinical presentation of the defect. This decision would be made by a pediatric cardiologist and cardiothoracic surgeon based on the specific circumstances of the infant's condition.

It is crucial for the infant to receive comprehensive care from a multidisciplinary team, including pediatricians, cardiologists, pulmonologists, and nutritionists, to optimize their health and development. The management approach should be individualized based on the infant's unique needs and the expert recommendations of the healthcare team.

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The Mean for June 2006 and 2005 is  $345,909 and $335,977 respectively. The median for June 2006 and 2005 is $254,000 and $139,000 respectively, there's no mode in this question.

In statistics, the mean, mode, and median are three measures of central tendency that describe a set of numerical data.

The mean is the average of a set of numbers, calculated by adding up all the values and dividing by the number of values. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the mean is (1 + 2 + 3 + 4 + 5) / 5 = 3.

The mode is the value that appears most frequently in a set of data. For example, if a set of data contains the values {1, 2, 2, 3, 4, 4, 4, 5}, the mode is 4, because it appears three times, which is more than any other value.

The median is the middle value in a set of data when it is ordered in ascending or descending order. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the median is 3, because it is the middle value. If there is an even number of values, then the median is the average of the two middle values.

It is important to note that different sets of data may have different measures of central tendency, and sometimes none of these measures may be appropriate.

Measures of central tendency are used to summarize and describe a set of data. The most common measures of central tendency are the mean, median, and mode.

1. Mean:

• Mean for June 2006: (508+435+538+913+367+033+254+240+137+022+160+548+260+458+358+035+222+879+136+371+127+586+201+316)/22 = $345,909

• Mean for June 2005: (422+843+469+588+245+803+199+409+132+054+139+728+254+725+345+065+210+740+134+334+125+455+184+853)/22 = $335,977

2. Median:

• Median for June 2006: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $254,000

• Median for June 2005: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $139,000

3. Mode:

• Mode for June 2006: There is no mode, because no value is repeated.

• Mode for June 2005: There is no mode, because no value is repeated.

Conclusions:

• The mean housing price in June 2006 is higher than the mean housing price in June

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Answer:

(-2,-3)

Step-by-step explanation:

The explanation in the photo

Answer:

y=-2x+10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-(-10))/(1-10)

m=(8+10)/-9

m=18/-9

m=-2

------------------

y-y1=m(x-x1)

y-(-10)=-2(x-10)

y+10=-2x+20

y=-2x+20-10

y=-2x+10

Answer:

there needs to be at least 77 cakes sold

Step-by-step explanation:

let 'c' = # cakes sold

3.25c ≥ 250

c ≥ 250÷3.25

c ≥ 76.9

Therefore, the equation of the tangent line to the curve y = x4 + 7x2 - x at the point (1,7) is y = 17x - 10.

The first step to finding the equation of the tangent line to the curve at a given point is to find the derivative of the function. In this case, the derivative of y = x^4 + 7x^2 - x is:
y' = 4x^3 + 14x - 1
Next, we can substitute the given point (1,7) into both the original equation and the derivative:
y(1) = 1^4 + 7(1)^2 - 1 = 7
y'(1) = 4(1)^3 + 14(1) - 1 = 17
Now we can use the point-slope form of a line to find the equation of the tangent line. The point-slope form is:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope of the line (which we just found to be 17). So, plugging in the values we get:
y - 7 = 17(x - 1)
Expanding and simplifying gives:
y = 17x - 10
Therefore, the equation of the tangent line to the curve y = x^4 + 7x^2 - x at the point (1,7) is y = 17x - 10.

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Answer:

16.5

Step-by-step explanation:

8.25 × 2 = 16.5

............

From the given two points the graph of the proportional relationship

function can be obtained.

Correct response:

The given parameters are;

Range of horizontal axis = 0 to 7

Label of horizontal axis = Hours worked

Range of vertical axis = 0 to 90

Label of vertical axis = Wages earned in dollars

Points plotted are; (2, 27.60), and (6, 82.80)

Required to find the constant of proportionality

Solution:

The variables of hours worked, x, and wages earned y are proportional

when they can be expressed in the form;

y = c·x

Such that we have; Δy = c·Δx

Where;

Δy = Change in the y variable

Δx = Change in x variable

Therefore;

\(\displaystyle c = \mathbf{ \frac{\Delta y}{\Delta x} }\)

The constant of proportionality is therefore given by the rate of change of the graph which is found as follows;

\(\displaystyle Rate \ of \ change = \frac{82.80 - 27.60}{6 - 2} = \mathbf{13.8}\)

The rate of change indicates that for each increase of 1 hour in the hours worked, the wage increases by $13.8.

By verification, we have;

Therefore;

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0.148 is the probability that they are both democrats.

In one town, 39% of all voters are democrats.

If two voters are randomly selected for a survey, the probability that they are both democrats can be calculated as follows.

P(A) = 0.39 is the probability of selecting a democrat in the first draw.

P(B|A) = 0.38

is the probability of selecting a democrat in the second draw if the first draw selects a democrat.

P(B|A') = 0.39 is the probability of selecting a democrat in the second draw if the first draw does not select a democrat.

The probability that both voters are democrats is:

P(A) x P(B|A) = 0.39 x 0.38 = 0.1482

The result is 0.1482, which means the probability that two voters are both democrats in one town is 0.1482 to the nearest thousandth.

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The PDF of X is given by the formula PDF(x) = 10exp(-10x) for 0 < x < 20, and 0 otherwise.

First, let's define some of the terms mentioned in the question:

- Random variable: A variable whose value is subject to variations due to chance or uncertainty. In probability theory and statistics, a random variable is typically denoted by a capital letter such as X or Y.
- cdf(x) = 1-exp(-10x): The cumulative distribution function (cdf) of a random variable X is a function that gives the probability that X is less than or equal to a certain value x, i.e. P(X <= x). In this case, the cdf is given by the formula cdf(x) = 1-exp(-10x).
- 0 otherwise: This means that for any value of x less than or equal to 0 or greater than 20, the probability is 0.

Now, let's move on to the specific questions:

a) Determine Pr{ X <= 4}

To find this probability, we simply plug in x=4 into the cdf formula:

Pr{ X <= 4} = cdf(4) = 1 - exp(-10*4) = 1 - exp(-40) ≈ 0.9997

So the probability that X is less than or equal to 4 is approximately 0.9997.

b) Pr{ X € (1,4)}

This notation means the probability that X is between 1 and 4, not including the endpoints. We can find this probability by subtracting the cdf at x=1 from the cdf at x=4:

Pr{ X € (1,4)} = cdf(4) - cdf(1) = (1 - exp(-40)) - (1 - exp(-10)) ≈ 0.9938

So the probability that X is between 1 and 4 (exclusive) is approximately 0.9938.

c) Find PDF(x)

The probability density function (PDF) of a continuous random variable is the derivative of its cdf. In this case, the cdf is given by cdf(x) = 1-exp(-10x) for 0 < x < 20, and 0 otherwise. So we can differentiate this expression to get the PDF:

PDF(x) = d/dx cdf(x) = 10exp(-10x)

for 0 < x < 20, and 0 otherwise.

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