A bag contains 4
blue marbles, 4
green marbles, and 2
yellow marbles. Sydney selects a marble without looking and then puts it back. If she does this 5
times, what is the best prediction possible for the number of times Sydney will pick a yellow marble?

Answers

Answer 1
First recognize the word “puts it back” meaning this is a replacement problem so the denominator does not change from 5, because 5 marbles will be in there each time. The same goes with the 2 yellow marbles, you are not keeping them out after you pick. It is asking So set up the problem like this:

2/5*2/5*2/5*2/5*2/5

The reason you multiple 5 times is because you are picking it 5 times.

The answer comes out to 32/3125 for the probability.

Im confused If it’s asking for that or not but lmk and I’ll change it. Hope it kinda helps

Related Questions

A line passes through the point (-8, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.

Answers

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the line passes through the point (-8, 7) and has a slope of -5/4. So we can substitute these values into the slope-intercept form and solve for b:

y = mx + b

7 = (-5/4)(-8) + b

7 = 10 + b

b = -3

Therefore, the equation of the line in slope-intercept form is:

y = (-5/4)x - 3

Distributive property applied to 7(2x+5) - 4(2x+5)

Answers

To implement the distributing principle to the phrase 7(2x+5) - 4(2x+5), we must first divide the 7 and 4 within the parenthesis to their respective terms:

7(2x+5) - 4(2x+5) = (72x + 75) - (42x + 45)

Within the parenthesis, each term is simplified:

= (14x + 35) - (8x + 20)

We may now reduce the phrase by grouping similar terms:

= 14x - 8x + 35 - 20

= 6x + 15

As a consequence, using the distributive property on 7(2x+5) - 4(2x+5) yields 6x + 15.

By expansion or multiplying, the distribution principle is frequently employed to compress statements and solve problems. It enables us to translate complicated statements into shorter language and conversely. The distributive principle is commonly utilized in mathematics, mathematics, as well as other mathematical subjects.

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help please!! i have no clue how to do this without the answer to DC

Answers

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Exercise 3-23A (Algo) Using ratio analysis to assess financial risk LO 3-5

The following information was drawn from the balance sheets of two companies. Company Assets = Liabilities + Equity
East 206,000 91,000 115,000
West 603,000 169,000 434,000

Required
a. Compute the debt-to-assets ratio to measure the level of financial risk of both companies. B. Compare the two ratios computed in requirement a to identify which company has the higher level of financial risk

Answers

The answer based on debt to assets ratio for east and west company are,

East company debt to assets ratio is equal to 0.44.

West company debt to assets ratio is equal to 0.28.

After comparing both the company debt to assets ratio East company is at higher level of financial risk.

Assets = Liabilities + Equity

For East company,

206,000 =  91,000 + 115,000

Assets = 206,000

liabilities = 91,000

Equity = 115,000

For West company,

603,000 =  169,000 + 434,000

Assets = 603,000

liabilities = 169,000

Equity = 434,000

Debt-to-assets ratio = Total liabilities divided by the total assets.

Debt-to-assets ratio for East

= 91,000 / 206,000

= 0.44

Debt-to-assets ratio for West

= 169,000 / 603,000

= 0.28

Comparing the two ratios,

0.44 > 0.28

This implies,

Company East has a higher debt-to-assets ratio is greater than the compared to Company West.

This represents that Company East has a higher level of financial risk.

As larger proportion of their assets are financed through debt.

This shows it is difficult to repay if the company experiences financial difficulties.

Company West has a lower level of financial risk as smaller proportion of their assets are financed through debt.

Therefore, the answer of the following questions are,

Debt to asset ratio of east company = 0.44

Debt to asset ratio of west company = 0.28

Company east has a higher financial risk level .

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suppose that the value of a stock varies each day from $8.82 to $16.17 with a uniform distribution. find the third quartile, i.e., 75% of all days the stock is below what value?

Answers

The third quartile is $10.6575, which means that 75% of all days the stock is below this value.

The range of the stock price is from $8.82 to $16.17, and the distribution is uniform, which means that the probability of the stock price being any value between the minimum and maximum is the same.

To find the third quartile, we need to find the value x such that 75% of the observations are less than or equal to x, and 25% of the observations are greater than or equal to x.

Since the distribution is uniform, we can find x by finding the value that separates the bottom 25% of the distribution from the top 75% of the distribution.

The bottom 25% of the distribution spans from $8.82 to some value x. Since the distribution is uniform, we can find x by setting the probability of the stock price being less than or equal to x to 0.25, which gives:

(x - 8.82) / (16.17 - 8.82) = 0.25

Solving for x, we get:

x - 8.82 = 0.25 * (16.17 - 8.82)

x - 8.82 = 1.8375

x = 10.6575

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Error Analysis-Terrence constructed the circumscribed circle for triangle xyz. Explain Terrence's error.

Answers

Answer:

Step-by-step explanation:

Help me match themmm

Answers

The volume for each cylinder, given the dimensions, is as follows:

1. r = 4 units, h = 6 units, V = 96π units².

2. r = 8 units , h = 3 units , V = 192π units².

3. r = 1 unit(half of the diameter), h = 5 units, V = 5 units².

4. r = 5 units, h = 7 units, V = 175π units².

How to obtain the volume of a cylinder?

The volume of a cylinder of radius r and height h is given by the equation presented as follows, in which the square of the radius is multiplied by π and the height, hence:

V = πr²h.

Then the equation is applied to each option in this problem with the given dimensions to obtain the volumes.

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Gerald had some green and yellow beads. The number of green beads was 1/3 the number of yellow beads. He gave each of his friends 2 green beads and 3 yellow beads. He then had 42 green beads and 270 yellow beads left.
a. How many friends did he give the beads to?
b. What was the total number of beads he had at first?

Answers

Answer:

Step-by-step explanation:

Let's use algebra to solve this problem.

Let's start by assigning variables to the unknown quantities. Let G be the initial number of green beads and Y be the initial number of yellow beads.

We know that the number of green beads is 1/3 the number of yellow beads:

G = (1/3)Y

After giving away some beads, he had 42 green beads and 270 yellow beads left. So we can set up two equations using this information:

G - 2f = 42

Y - 3f = 270

where f is the number of friends he gave the beads to.

Now we can substitute G = (1/3)Y into the first equation:

(1/3)Y - 2f = 42

Multiplying both sides by 3, we get:

Y - 6f = 126

Now we have two equations that we can solve simultaneously:

Y - 3f = 270

Y - 6f = 126

Subtracting the first equation from the second, we get:

3f = 144

So f = 48. He gave the beads to 48 friends.

To find the total number of beads he had at first, we can use the equation G = (1/3)Y:

G + Y = (4/3)Y = (4/3)(270) = 360

So he had a total of 360 beads at first.

A line has a slope of 0 and passes through the point (4,4). Write its equation in slope-intercept form.

Answers

Answer:The equation of a line that passes through a point is an algebraic equation. It can also be referred to as the Slope-Intercept Equation.The equation of the line that passes through the point (4, 4) and has a slope of 0 is written as: y = 4 The equation of the line through a point (x1, y1) can be represented by the algebraic equation:y = mx + cwhere:m = slopec = y - interceptFrom the question,(x1, y1) = (4, 4)m = slope = 0Substituting these values into the algebraic equation,4 = (0 x 4) + c Hence, y = 4The equation of the line that passes through the point (4, 4) and has a slope of zero is y = 4

Answer:

y=4

Step-by-step explanation:

If a line has a slope of 0, then it is a horizontal line, and all points on the line have the same y-coordinate. We are given that the line passes through the point (4, 4). Therefore, the equation of the line in slope-intercept form is:

y = b

where b is the y-coordinate of the point through which the line passes. In this case, b = 4, so the equation of the line is:

y = 4

Therefore, the equation of the line in slope-intercept form is y = 4.

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in a certain large city, 45% of families earn less than $35,000 per year. assuming the distribution is binomial and you can use the exact binomial calculation, what's the probability that a simple random sample of 30 families will have 10 or fewer families earning less than $35,000 per year?

Answers

The probability of obtaining 10 or fewer families earning less than $35,000 per year in a simple random sample of 30 families from a large city with 45% of families in that income bracket is approximately 0.041 or 4.1%.

We can use the binomial distribution formula to calculate the probability of obtaining 10 or fewer families earning less than $35,000 per year in a simple random sample of 30 families from a large city where 45% of families earn less than $35,000 per year.

Let's denote the probability of a family earning less than $35,000 per year as "p", which is 0.45 in this case, and the number of trials or families sampled as "n", which is 30 in this case.

The probability of obtaining k families earning less than $35,000 per year in a simple random sample of 30 families can be calculated using the binomial distribution formula:

P(X ≤ 10) = Σ(i=0 to 10) [n choose i] * p^i * (1-p)^(n-i)

where n = 30, p = 0.45, and X is the random variable representing the number of families earning less than $35,000 per year in the sample.

Using a binomial calculator or software, we can calculate:

P(X ≤ 10) ≈ 0.041

Therefore, the probability that a simple random sample of 30 families will have 10 or fewer families earning less than $35,000 per year is approximately 0.041 or 4.1%.

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8x + 4 + 8x - 1 simplify the variable expression

I do not understand this
Pls help!

Answers

Answer:

16x + 3

Step-by-step explanation:

Simplify by combining like terms.  Add the terms with x, then add the integers.

8x + 8x + 4 - 1 = 16x + 3

A 90 digit number 9999. Is divided by 89, what is the remainder?

Answers

The remainder when a 90-digit number 9999 is divided by 89 is 0, as the result of applying the divisibility rule of 89, which involves reversing the digits of the number and subtracting the smaller from the larger.

To find the remainder when a 90-digit number 9999 is divided by 89, we can use the divisibility rule of 89. The rule states that for any integer n, the number obtained by reversing the digits of n and subtracting the smaller from the larger is divisible by 89.

In this case, we reverse the digits of 9999 to get 9999 again, and subtract the smaller from the larger to get 0. Since 0 is divisible by any number, including 89, the remainder when 9999 is divided by 89 is 0.

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. Calculate the slope of the line that passes through (3, 2) and (-7, 4).

Answers

Answer:

-0.2

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

^This here is how I calculated the slope^

Y2=4

Y1= 2

4-2= 2

X2=-7

x1=3

-7-3=-10

2/-10

or -2/10

A math class is set up to have assignments worth 45%, quizzes worth 40% and the final exam is worth the rest of the grade. If Serena has 78% on assignments and 65% on quizzes and 96% on the final, what is her overall grade to 2 decimal places?

Answers

Serena's overall grade in the course is 75.5%. It's important to note that in a weighted grading system like this, the final exam is often a major determinant of the final grade.

To calculate Serena's overall grade, we need to first determine the weight of the final exam. We know that the assignments are worth 45% and the quizzes are worth 40%, which leaves 100% - 45% - 40% = 15% for the final exam.

Next, we can calculate Serena's grade for each component of the course. Her grade for assignments is 78% and her grade for quizzes is 65%. We can calculate her grade for the final exam by multiplying her score of 96% by the weight of the final, which is 15%:

Final grade = (0.45 * 78%) + (0.4 * 65%) + (0.15 * 96%)

Final grade = 35.1% + 26% + 14.4%

Final grade = 75.5%

Therefore, Serena's overall grade in the course is 75.5%. It's important to note that in a weighted grading system like this, the final exam is often a major determinant of the final grade. In this case, Serena's strong performance on the final exam helped to boost her overall grade, even though her scores on the assignments and quizzes were not as high. It's also worth noting that this calculation assumes that all assignments, quizzes, and the final exam were weighted equally within their respective categories (i.e., each assignment was worth the same percentage of the assignment grade).

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at the end of 2024, marin co. has accounts receivable of $673,200 and an allowance for doubtful accounts of $24,010. on january 24. 2025, it is learned that the company's receivable from madonna inc. is not collectible and therefore management authorizes a write- off of $4.147.

Answers

The write-off of the receivable from Madonna Inc. is a necessary adjustment to ensure the accuracy of Marin Co.'s financial statements. Without it, the company's accounts receivable would be overstated and their financial statements would not provide an accurate portrayal of the company's financial position.

At the end of 2024, Marin Co. had accounts receivable of $673,200 and an allowance for doubtful accounts of $24,010. On January 24th, 2025, it was determined that the company's receivable from Madonna Inc. was not collectible and management authorized a write-off of $4,147. This action reduces the accounts receivable balance by $4,147, and reduces the allowance for doubtful accounts by the same amount. The net effect on the balance sheet is a reduction of $4,147 in both accounts receivable and allowance for doubtful accounts.

The impact of the write-off on the company's financial statements is a decrease in net income for the period. This is because a write-off is recognized as an expense, which reduces the amount of net income reported in the period. The amount of the write-off is recorded as an expense on the income statement. In this case, the amount of the write-off is $4,147.

The journal entry to record the write-off would be: Accounts Receivable 4,147; Allowance for Doubtful Accounts 4,147. This entry reduces the accounts receivable and allowance for doubtful accounts by $4,147. The write-off of $4,147 is recorded as an expense on the income statement, and this reduces the net income reported for the period.

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Perform the indicated operation.
f(x) = −3x² + 3x; _g(x) = 2x+5
(ƒ + g)(3)

Answers

The composite function (f + g)(3) when evaluated from f(x) = −3x² + 3x and g(x) = 2x+5 is -7

Calculating the composite function

Given that

f(x) = −3x² + 3x and

g(x) = 2x+5

To perform the operation (ƒ + g)(3), we need to add the functions ƒ(x) and g(x) first, and then evaluate the sum at x = 3.

ƒ(x) = −3x² + 3x

g(x) = 2x + 5

To add the functions, we simply add their corresponding terms:

(ƒ + g)(x) = ƒ(x) + g(x) = (−3x² + 3x) + (2x + 5)

When the like terms are evaluated, we have

(ƒ + g)(3) = −3x² + 5x + 5

Now, we can evaluate the sum at x = 3:

(ƒ + g)(3) = −3(3)² + 5(3) + 5

So, we have

(ƒ + g)(3) = −27 + 15 + 5

Lastly, we have

(ƒ + g)(3) = -7

Therefore, (ƒ + g)(3) = -7.

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1. if you repeated a hypothesis test 1000 times (i.e. 1000 different samples from the same population), how many times would you expect to commit a type i error, assuming the null hypothesis were true, if:

Answers

If we repeated a hypothesis test 1000 times, the number of times we would expect to commit a Type I error, assuming the null hypothesis were true, would depend on the significance level (α) of the test.

A Type I error occurs when we reject the null hypothesis when it is actually true. The significance level of a test (α) is the probability of making a Type I error when the null hypothesis is true. In other words, if we set a significance level of α = 0.05, we are saying that we are willing to tolerate a 5% chance of making a Type I error.

Assuming a significance level of α = 0.05, if we repeated the test 1000 times, we would expect to make a Type I error in approximately 50 tests (0.05 x 1000 = 50). This means that in 50 out of the 1000 tests, we would reject the null hypothesis even though it is actually true.

However, it is important to note that the actual number of Type I errors we make in practice may differ from our expectation, as it depends on the specific characteristics of the population being tested and the sample sizes used in each test.

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4. Small amounts of weight are often measured in grams or ounces. Recall from Exercise #6
that there are 16 ounces per pound. Grams are even smaller. Camilla weighs an onion and
finds that it is 112 grams. On another scale, she finds that it weighs four ounces.
(a) Using the information from Camilla's onion,determine the ratio of grams to ounces.State as a unit rate using proper “per” units

Answers

Thus, Camilla's onion weighs about 28 grammes per ounce in terms of grammes to ounces.

What exactly is weight?

Weight is the force of gravity that pulls objects towards the centre of the Earth. The resulting force that pulls a substance towards Earth is known as gravity. In contrast to gravity force, which occurs among any two masses, this only occurs between Planet and a mass.

To convert from grams to ounces, we can use the conversion factor of 1 ounce = 28.35 grams. Therefore:

1 gram = 1/28.35 ounces

To find the ratio of grams to ounces for Camilla's onion, we can divide the weight in grams by the weight in ounces:

112 grams ÷ 4 ounces ≈ 28 grams per ounce

So the ratio of grams to ounces for Camilla's onion is approximately 28 grams per ounce.

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how much of a 12% 12 % salt solution must combined with a 26% 26 % salt solution to make 2 2 gallons of a 20% 20 % salt solution?

Answers

To make 2 gallons of a 20% salt solution, combine 0.86 gallons of the 12% salt solution and 1.14 gallons of the 26% salt solution.

Let x be the amount of the 12% salt solution needed in gallons, and y be the amount of the 26% salt solution needed in gallons to make 2 gallons of a 20% salt solution.

Based on the provided data, we can construct the following system of two equations:

X + y = 2 (total volume of the mixture is 2 gallons)

0.12x + 0.26y = 0.2(2) (total salt content of the mixture is 20% of 2 gallons)

Simplifying the second equation, we get:

0.12x + 0.26y = 0.4

Multiplying the first equation by 0.12 and subtracting it from the second equation, we get:

0.14y = 0.16

Y = 1.14

Substituting y = 1.14 into the first equation, we get:

X + 1.14 = 2

X = 0.86

In order to create 2 gallons of a 20% salt solution, 0.86 gallons of the 12% salt solution and 1.14 gallons of the 26% salt solution must be combined.

The complete question is:-

How much of a 12% salt solution must combined with a 26% salt solution to make 2 gallons of a 20% salt solution?

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Solve each of the given inequalities for z. Which of the inequalities has 5 as a solution?

Inequality 1 Inequality 2

(4(2.8z + 1.75) > - 26.6) (2(1.9z + 1.5) <= 18.2)

Answers

Answer: Inequality 1

Step-by-step explanation: Let's solve each inequality first.

4(2.8z+175 )>-26.6

let's distribute the 4.

4(2.8z)+4(175)

11.2z+700>-26.6

Now let's isolate the variable by subtracting 700 on each side.

11.2z>-726.6

Now let's divide both sides by 11.2

z>-64.875

Oh? This one already has 5 as a solution as 5 is more than -64.875!

at a dinner party i attended, the woman sitting to my right drank 3 glasses of wine during the evening. each contained 8 fl oz. how many standard drinks did she ingest? for this single day, assuming no other alcohol was ingested, did she drink alcohol in moderation?

Answers

The woman at the dinner party consumed 24 fluid ounces of wine containing approximately 4.8 standard drinks assuming the wine had an alcohol content of 12%. She exceeded the recommended limit for moderate drinking on that day.

Assuming each glass of wine contained 8 fluid ounces, the woman consumed a total of 24 fluid ounces of wine throughout the evening.

To determine the number of standard drinks ingested, we need to know the alcohol content of the wine. In the United States, a standard drink is defined as containing 0.6 fluid ounces or 14 grams of pure alcohol.

Assuming the wine had an alcohol content of 12% (which is a typical percentage for table wine), we can calculate the number of standard drinks ingested by using the following formula:

Number of standard drinks = (Volume of alcohol consumed in ounces x % alcohol by volume) / (0.6 ounces of alcohol per standard drink)

Number of standard drinks = (24 fl oz x 0.12) / 0.6 fl oz

Number of standard drinks = 4.8

Therefore, the woman consumed approximately 4.8 standard drinks.

To determine if she drank alcohol in moderation, we need to consider the recommended limits for moderate drinking. According to the National Institute on Alcohol Abuse and Alcoholism, moderate drinking is defined as up to one drink per day for women.

Since the woman consumed 4.8 standard drinks in one evening, she exceeded the recommended limit for moderate drinking for that day.

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what are the advantages of a best-guess (trial and error) experiment versus a factorial or design experiment

Answers

One advantage of best-guess experiments is that they are often faster and more cost-effective than factorial or design experiments.

Best-guess (trial and error) experiments involve making a hypothesis and testing it through a series of trials until a satisfactory result is achieved. On the other hand, factorial or design experiments involve manipulating multiple variables simultaneously to determine their individual and interactive effects on a response variable.

Both approaches have their advantages and disadvantages depending on the specific research question and goals. They may also be useful in situations where there is limited knowledge about the variables of interest or when the system is too complex to be modeled accurately.

However, best-guess experiments may suffer from issues such as biased or subjective interpretation of results, a lack of control over extraneous variables, and a potential for false positives or negatives.

In contrast, factorial or design experiments provide a more systematic approach to testing hypotheses and offer greater control over variables, leading to more reliable and generalizable results. They may, however, be more time-consuming and expensive to conduct.

Ultimately, the choice between best-guess and factorial or design experiments depends on the research question, available resources, and desired level of precision and control.

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The line plot displays the number of roses purchased per day at a grocery store.

A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.

Which of the following is the best measure of center for the data, and what is its value?

The median is the best measure of center, and it equals 3.5.
The median is the best measure of center, and it equals 3.
The mean is the best measure of center, and it equals 3.
The mean is the best measure of center, and it equals 3.5.

Answers

Therefore, the best measure of center for this data is the median, and its value is 3.

What is median?

The median is a measure of central tendency that represents the middle value of a set of data when it is arranged in order from lowest to highest (or highest to lowest). It is the value that divides the data set into two equal halves, with half of the values above and half below the median.

Here,

The median is the best measure of center for this data because it is skewed and not symmetrical. The value of the median can be found by ordering the data from smallest to largest: 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 10. The median is the middle value, which is 3.

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our club has $25$ members, and wishes to pick a president, secretary, and treasurer. in how many ways can we choose the officers, if individual members are allowed to hold $2,$ but not all $3,$ offices?

Answers

Number of ways that  can we choose the officers, if individual members are allowed to hold 2 but not all 3 offices is 49,825

One member holds all three offices: There are 25 options for choosing the member who will hold all three offices.

Two members hold two offices each: There are 25 options for choosing the first member, and 24 options for choosing the second member (since one member cannot hold all three offices). Then, for the first member, there are 3 options for which offices they will hold, and for the second member, there are 2 options for which offices they will hold. Here we have to use the permutation. So the total number of ways is

25 × 24 × 3 × 2 = 36,000

Three members hold one office each: There are 25 options for choosing the first member, 24 options for choosing the second member, and 23 options for choosing the third member. So the total number of ways is

25 × 24 × 23 = 13,800

Therefore, the total number of ways to choose the officers is

25 + 36,000 + 13,800 = 49,825

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eric from exercise 3.30 continues driving. after three years, he still has no traffic accidents. now, what is the conditional probability that he is a high-risk driver?

Answers

The conditional probability that Eric is a high-risk driver, given that he has had no traffic accidents in the past three years, is very low. Generally, insurance companies use the number of traffic violations and/or the number of claims a driver has had within a certain time period as indicators of their riskiness.

As Eric has had no accidents or traffic violations, the probability that he is a high-risk driver is very low. However, this does not mean that the probability is zero. There are many other factors which can contribute to a driver's risk, such as age, gender, experience, and location.

If Eric is an experienced driver, who has been driving for many years with no traffic accidents, then the probability of him being a high-risk driver will be lower than the average driver. On the other hand, if Eric is a new driver, or is located in an area with a high rate of traffic accidents, then the probability of him being a high-risk driver may be higher than the average driver.

Overall, the conditional probability that Eric is a high-risk driver, given that he has had no traffic accidents in the past three years, is very low. However, this probability can change depending on other factors, such as his age, experience, and location.

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PLS HELP! WILL MAKE U BRAINLIST

Answers

Answer:

(5,2)

Step-by-step explanation:

Let's solve your system by substitution.

[tex]x+y=7{\text{ ; }}x=y+3[/tex]

Step 2: let Solve [tex]$x+y=7$[/tex] for[tex]$x$[/tex]

[tex]x+y=7[/tex]

[tex]x+y +(-x)=7+(-x)[/tex] (Add (-x) on both sides)

[tex]y=-x+7[/tex]

0+(x)=7-x-y+(x)   (Add (x) on both sides)

x = -y + 7

x/1 = -y+7/1  (divide through by 1)

x = -y + 7

Substitute -y+7 for x in x = y + 3, then solve for u

(-y + 7) = y + 3

-y + 7 = y + 3 (simplify)

-y+7+(-7) = y + 3 + (-7)    (Add (-7) on both sides)

-y=y-4

-y = y-4 (simplify)

-y+(-y)=y-4+(-y)  (Add (-y) on both sides)

-2y-=-4

-2y/-2 = -4/-2  (Divide through by -2)

y = 2

Substitute in 2 for y in x = -y + 7

x =  -y+7

x = -2+7

x = 5

Answer:

x = 5 and y = 2

A town has a population of 12,000 and grows at 3. 5% every year. What will be the population after 7 years, to the nearest whole number?

Answers

If the population growth rate is 3.5 percent every year then the population of the town after 7 years would be 14940.

Given that population grows 3.5 percent every year.

So, the increase in population after one year

= 3.5% of 12000

= (3.5/100) × 12000

= 420

Thus the increase in population after 7 year would be,

= population increase in one year × 7

= 420×7 = 2940

Hence population of the town after 7 years = (present population + increase in population)

= 12000 + 2940

= 14940

So the population of the town after 7 years with 3.5 % growth every year would be 14490.

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five observations taken for two variables follow. xi4611316 yi5050406030 what does the scatter diagram indicate about the relationship between the two variables?

Answers

If we see the scatter plot we can conclude that the possible relation between x and y is linear and with a positive correlation since when the values of x increase the values for y increases as well.

[tex]Cov(x,y) =\frac{\sum_1^n(x_i-X')(y_i-Y')}{n-1}[/tex]

 [tex]\sum_1^5(6-16)(6-10)+(11-16)(9-10)....(27-16)(12-10)=106\\\\and\\Cov(x,y)=\frac{106}{4}=26.5\\\\r=0.693[/tex]

For this part we use excel in order to create the scatterplot and we got the result on the figure attached

If we see the scatter plot we can conclude that the possible relation between x and y is linear and with a positive correlation since when the values of x increase the values of y increase as well

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this

[tex]Cov(x,y) =\frac{\sum_1^n(x_i-X')(y_i-Y')}{n-1}[/tex]

:  

[tex]Cov(x,y) =\frac{\sum_1^n(x_i-X')(y_i-Y')}{n-1}[/tex]

 [tex]\sum_1^5(6-16)(6-10)+(11-16)(9-10)....(27-16)(12-10)=106\\\\and\\Cov(x,y)=\frac{106}{4}=26.5\\\\r=0.693[/tex]

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Solve for x. Round to the nearest tenth, if necessary.
D
59⁰
7.7
E
Xx
F
Click her

Answers

The value of x in the right triangle when calculated is approximately 13.8 units

Calculating the value of x in the triangle

Given the right-angled triangle

The side length x can be calculated using the following sine ratio

So, we have

sin(39) = x/22

To find x, we can use the fact that sin(39 degrees) = x/22 and solve for x.

First, we can use a calculator to find the value of sin(39 degrees), which is approximately 0.6293.

Then, we can set up the equation:

0.6293 = x/22

To solve for x, we can multiply both sides by 22:

0.6293 * 22 = x

13.8446 = x

Rewrite as

x = 13.8446

Approximate the value of x

x = 13.8

Therefore, x is approximately 13.8 in the triangle

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how mang triangles are possible given the following side maesurment: 3 feet , 5 feet, 4 feet

Answers

The answer is: 1 triangle is possible  given the following side maesurment: 3 feet , 5 feet, 4 feet.

To determine how many triangles are possible with these side measurements, we can use the triangle inequality theorem, which states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.

What is inequality theorem?

In this case, we have three side measurements: 3 feet, 5 feet, and 4 feet. Let's call these sides a, b, and c, respectively. Using the triangle inequality theorem, we can see that:

a + b > c

a + c > b

b + c > a

Substituting in the values of a, b, and c, we get:

3 + 5 > 4

3 + 4 > 5

4 + 5 > 3

All three of these inequalities are true, so it is possible to form a triangle with these side measurements.

To determine how many distinct triangles are possible, we can use the fact that any two triangles are distinct if and only if they have at least one side with a different length. In this case, all three sides have different lengths, so there is only one distinct triangle that can be formed with these side measurements.

Therefore, the answer is: 1 triangle.

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Complete question is: 1 triangle is possible given the following side maesurment: 3 feet , 5 feet, 4 feet.

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