The two-way table shows the ages of the players on different soccer teams.

The specified scale factor of the dilation from S to M is 3/2 therefore, the scale factor of the dilation transformation from M to S is 2/3

A dilation is a transformation in which the lengths of the sides of the image are increased or decreased in the proportion, specified by a scale factor to the dimensions of the pre-image.

The specified scale factor from triangle S to triangle M = 3/2

3/2 = 1.5

Therefore, the length of the sides of triangle M are 1.5 times the lengths of the sides of triangle S

Let L represent the length of a side of triangle S, we get;

The length of the corresponding side on triangle M = 1.5 × L

The scale factor from triangle M to triangle S is found by taking the ratio of the corresponding sides of triangle S and M as follows;

Scale factor, SF, from M to S  = Length of a side on triangle S ÷ Length of the corresponding side on triangle

Therefore;

\(SF = \dfrac{L}{1.5\cdot L} = \dfrac{1}{1.5}\)

1.5 = 3/2, therefore;

\(SF = \dfrac{1}{1.5} = \dfrac{1}{\frac{3}{2} } =\dfrac{2}{3}\)

Therefore, the scale factor from M to S is 2/3

Learn more about scale factor of a dilation here:

https://brainly.com/question/13005407

#SPJ1

The inequality statement 7.745966… < √59 is true.

The symbol √59 represents the square root of 59, which is approximately 7.681146. The value 7.745966… is a decimal representation of the square root of 59 that has been rounded to three decimal places. Because 7.681146 is less than 7.745966, the inequality statement 7.745966… < √59 is true.

Answer:

Step-by-step explanation:

Hope this helps  !!

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

We can deduce that option A is likely to be true based on the given graph of rolling dice median data.

The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.

The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).

This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.

However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.

Learn more about dice here:

https://brainly.com/question/23637540

#SPJ1

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

Learn more about the tangent line:

https://brainly.com/question/30162650

#SPJ1

Answer:

52

Step-by-step explanation:

find the area of each individual piece

top and bottom dimensions are 4 X 3- so each one is 12 inches squared

the left and right side dimensions are 4 X 2- each one is 8

the front and back dimensions are 3 X 2 each one is 6

Surface area- add all together

12+12+8+8+6+6= 52 in squared

Answer:

x=12 1/8

hope this helps

can i get brainliest

Answer:

B. Add 5y to both sides in the first equation.

Step-by-step explanation:

When we add 5y to both side in the first equation we will see that x = 22 + 5y

Then we can use this information in second equation like this:

-8(22+5y) + 7y = 22 which is a simpler equation and easier to solve.

So the answer to this question is B.

The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

Learn more about Simple Interest click;

https://brainly.com/question/25845758

#SPJ1

Answer:

6358 mm

Step-by-step explanation: multiply the value of decimeters by 100,

we get 6300 mm and then we add the 58 mm in 6300 mm.

Answer:

$3.20/gallon

Step-by-step explanation:

to fill up your tank at $3.20/gallon only costs $38.40

The variance of X-bar is 12.25.

To find the variance of the sample mean (X-bar) for a normally distributed population, we can use the formula:

Variance of X-bar = (Population Variance) / (Sample Size)

In this case, the population mean (μ) is 138 and the standard deviation (σ) is 14. The population variance (σ^2) can be calculated as the square of the standard deviation, which gives us 14^2 = 196.

Since we are sampling with a batch size of 16, the sample size is also 16.

Now we can substitute these values into the formula:

Variance of X-bar = 196 / 16 = 12.25

Therefore, the variance of X-bar is 12.25.

It's important to note that the sample mean (X-bar) is an unbiased estimator of the population mean (μ). The smaller the sample size, the greater the variability of X-bar around the population mean.

As the sample size increases, the variance of X-bar decreases, indicating a more precise estimate of the population mean.

For more such questions on variance,click on

https://brainly.com/question/9304306

#SPJ8

Answer:

Line B - red line

Step-by-step explanation:

The country's debt is $48,231.51  per person.

The national debt seems to be the total of a country's yearly budget deficits less any surpluses. A deficit develops once the government spends more money than it collects. The government borrows money to finance the deficit by selling debt obligations to investors.

Given that a country's gross debt was around $ 15 trillion at the end of the year, the following computation must be performed to estimate this amount in dollars per person assuming that the country's population is approximately 311 million.

15 trillion = 15,000,000,000,000

15,000,000,000,000 / 311,000,000 = X

15,000,000 / 311 = X

48,231.51 = X

The country's debt is $48,231.51  per person.

To know more about country's debt visit:

https://brainly.com/question/14485314

#SPJ9

Answer:

x = \(\frac{4}{5}\), y = \(\frac{1}{5}\)

Step-by-step explanation:

Express as 2 equations, that is

x + y = 1 → (1)

- x + 9y = 1 → (2)

Add the 2 equations term by term to eliminate x, that is

10y = 2 ( divide both sides by 10 )

y = \(\frac{2}{10}\) = \(\frac{1}{5}\)

Substitute this value into (1) and solve for x

x + \(\frac{1}{5}\) = 1 ( subtract \(\frac{1}{5}\) from both sides )

y = \(\frac{5}{5}\) - \(\frac{1}{5}\) = \(\frac{4}{5}\)

Answer:B. Between 62​% and 78​% of all orders arrive on time. State whether the conclusion is correct or not and explain why. Choose the correct answer below.

Step-by-step explanation:

A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 89% ± 6%.

a) The correct answer is A

b) The correct answer is B

c) The correct answer is C

d) The correct answer is D.

e) The correct answer is B.

Here, we have,

a) Between 83% and 95% of all orders arrive on time.

The correct answer is A. This statement is correct.

b) 90% of all random samples of customers will show that 89% of orders arrive on time.

The correct answer is B. This statement is not correct. It implies certainty, but in reality, the statement refers to the confidence interval estimate for the proportion of orders that arrive on time based on the sample.

c) 90% of all random samples of customers will show that 83% to 95% of orders arrive on time.

The correct answer is C. This statement is not correct. No more than 95% of all orders arrive on time. The confidence interval represents the range within which the true proportion is estimated to fall, but it doesn't guarantee that all intervals will cover the true proportion.

d) The company is 90% sure that between 83% and 95% of the orders placed by the customers in this sample arrived on time.

The correct answer is D. This statement is not correct. The confidence interval provides an estimate of the proportion of orders that arrive on time, not a measure of the company's certainty.

e) On 90% of the days, between 83% and 95% of the orders will arrive on time.

The correct answer is B. This statement is not correct. It implies certainty about the proportion of orders arriving on time, but the confidence interval only provides an estimate based on the sample data and does not guarantee the exact proportion for every day.

To learn more about confidence interval

brainly.com/question/15712887

#SPJ6

complete question:

A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 89% ± 6%. What does this mean? Are the conclusions below correct? Explain.

a) Between 83% and 95% of all orders arrive on time.

b)90% of all random samples of customers will show that 89% of orders arrive on time. c) 90% of all random samples of customers will show that 83% to 95% of orders arrive on time.

d) The company is 90% sure that between 83% and 95% of the orders placed by the customers in this sample arrived on time. e) On 90% of the days, between 83% and 95% of the orders will arrive on time.

a) Choose the correct answer below.

A. This statement is correct.

B. This statement is not correct. It implies certainty.

C. This statement is not correct. No more than 95% of all orders arrive on

D. This statement is not correct. At least 83% of all orders arrive on time.

Answer:

21

Step-by-step explanation:

given : 2 triffles = 7

6 / 2 = 3 so miutiple both side by 3

2 x 3 = 6 and 7 x 3 = 21

6 triffles = 21

OR

Find the cost of 1 triffle:

7 / 2 = 3.5

1 triffle = 3.50

3.50 each x 6 triffles = 21

a. total estimated uncollectible accounts is $21,190

b. to entry the adjustment, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690

a. to compute the estimated uncollectible accounts, we have to multiply the specific % to the accounts receivable plus the beginning balance;

•Accounts not due

$36,000 x 4% = $1,440

•Accounts 1 - 60 days past due

$21,000 x 25% = $5,250

•Accounts more than 60 days past due

$16,000 x 50% = $8,000

So the total uncollectible accounts would be; $6,500 + $1,440 + $5,250 + $8,000 = $21,190

b. to record the year-end adjustment of the uncollectible accounts, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690. This figure is the uncollectible amount we computed earlier based on the aging.

Therefore, the total estimated uncollectible accounts is $21,190 and to entry the adjustment, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690

To learn more about credit refer here

https://brainly.com/question/26867415

#SPJ4

Disclaimer

The question given by you is incomplete, so the above answer has been done as per a similar question

Spade Agency separates its accounts receivable into three age groups for purposes of estimating the percentage of uncollectible accounts. In addition, the balance of Allowance for Uncollectible Accounts before adjustment is $6,500 (credit).Accounts not yet due = $36,000; estimated uncollectible = 4%.Accounts 1–60 days past due = $21,000; estimated uncollectible = 25%.Accounts more than 60 days past due = $16,000; estimated uncollectible = 50%.Required:a. Compute the total estimated un-collectible accounts.b. Record the year-end adjustment for estmated un-collectable accounts.

The smaller number is 6 .

The larger number is 22

Let's let x be the smaller number and y be the larger number.

From the problem, we know that one number is eight less than five times the other, so we can write:

y = 5x - 8

We also know that the sum of the two numbers is 28, so we can write:

x + y = 28

Now we have two equations in two variables. We can solve for one of the variables in terms of the other, and substitute that expression into the other equation to eliminate one variable.

Let's solve the first equation for x

x = (y + 8)/5

Now we can substitute this expression for x into the second equation:

(y + 8)/5 + y = 28

Multiplying both sides by 5 to eliminate the fraction, we get:

y + 8 + 5y = 140

Combining like terms, we get:

6y + 8 = 140

Subtracting 8 from both sides, we get:

6y = 132

Dividing both sides by 6, we get:

y = 22

Now we can use the equation y = 5x - 8 to solve for x:

22 = 5x - 8

Adding 8 to both sides, we get:

30 = 5x

Dividing both sides by 5, we get:

x = 6

Therefore, the smaller number is 6 and the larger number is 22.

Learn more about Algebraic Equation here : brainly.com/question/24875240

#SPJ1

Answer:

(- 3, 1.5)

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

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

The final discounted price of the cake would be =$25.55

To calculate the discounted final price of the cake the following is being carried out.

The original price of the cake before discount= $36.50

The percentage discount on the price = 20%

The percentage discount of coupon = 10%

The total discount that should be applied= 20+10 = 30%

That is;

= 30/100 × 36.50/1

= 1095/100

= $10.95

To calculate the final price;

= 36.50-10.95 = $25.55

Therefore, the final discount price that was obtained after the calculation above would be = $25.55

Learn more about percentage here:

https://brainly.com/question/24339661

#SPJ1

The value of the identities are;

1. tan θ = 5/12

2. cot θ = √7/3

To determine the value of the identities, we need to take note of the different identities;

From the information given, we need to take note that;

tan θ = opposite/adjacent

cot θ = inverse of tangent identity

cot θ = adjacent/opposite

then,

1. tan θ =

Opposite = 5

Adjacent = 12

tan θ = 5/12

2. cot θ = 4√7/12 = √7/3

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

For similar questions on athletes

https://brainly.com/question/25631156

#SPJ11

Answer:

6 in ^2

Step-by-step explanation:

divide side lengths by two and add those numbers

Answer:

(-3 , -7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

7g-6+3n+4= 7g+3n-2