A family has a $10,000 loan for home improvements with simple interest of 24%. What is the monthly payment if the family plans to pay back the loan over 40 months?

The measure of central tendency that is likely to vary least between the first and second samples of 30 scores is the median.

The median is less affected by outliers and variations in the sample compared to the mean and mode, making it less likely to vary between samples.

The median is a measure of central tendency that represents the middle value of a dataset when it is ordered by value. It is a robust statistic, which means that it is not easily affected by outliers or variations in the sample. This is because the median only looks at the middle value of a dataset, and does not take into account the values of the entire dataset, unlike the mean.

The mode, on the other hand, is the value that appears most frequently in a dataset. It is affected by variations in the sample because it is based on the frequency of values. A different sample of the same population may have a different distribution of values, resulting in a different mode.

The mean is the sum of all the values in a dataset divided by the number of values. It is affected by outliers, as a single large or small value can greatly affect the mean. In small samples, the mean can be affected by small variations in the sample.

In conclusion, since the median is based only on middle value of the sample, it is less affected by variations in the sample and outliers, making it less likely to vary between samples.

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Answer:

the height of the mountain is 7.35 m

Step-by-step explanation:

Given;

final velocity of the man, v = 12 m/s

initial velocity of the man, u = 0

The height of the mountain is calculated as;

v² = u² + 2gh

v² = 0 + 2gh

v² = 2gh

h = v²/2g

h = (12)² / (2 x 9.8)

h = 7.35 m

Therefore, the height of the mountain is 7.35 m

Answer:

Step-by-step explanation:

let the integers be x and y

x+y=-20

y=-20-x

xy=99

x(-20-x)=99

-20x-x²=99

x²+20x+99=0

x²+11x+9x+99=0

x(x+11)+9(x+11)=0

(x+11)(x+9)=0

x=-11,-9

when x=-11

-11+y=-20

y=-20=11=-9

when x=-9

-9+y=-20

y=-20+9=-11

so integers  are -11,-9

Answer:

With rare exceptions, cars decrease in value with age. Depending on other factors, like accidents, repairs, or other damage, the value of a car may decrease even faster. If you borrowed money to buy a car, you might owe more on your car loan than its current value. When that happens, you have negative equity in the car. Some car dealers say you won’t be responsible for the remaining balance on your old car loan when you trade in your old car. But that might not be true. Dealers sometimes just roll over the negative equity into your new car loan, so you still end up paying it.

Step-by-step explanation:

Say you want to trade in your car for a newer model.

Your loan payoff is $18,000

Your car is worth $15,000

You have negative equity of $3,000. That must be paid if you want to trade in your vehicle. If the dealer promises to pay off the $3,000, it shouldn’t be included in your new loan.

But some dealers

add that $3,000 to the loan for your new car

subtract the amount from your down payment

or do both

True, Harvesting at the mathematical maximum sustainable yield (MSY) can be risky for the long-term sustainability of a fishery.

The concept of MSY is based on the idea of maximizing the catch of fish without depleting the population. However, it assumes that fish populations can be managed as single-species entities and that they can be harvested at a constant rate.

In reality, ecosystems are complex and interconnected, and fish populations interact with other species and the environment in various ways. Harvesting at the MSY level may not consider the broader ecological impacts and can lead to unintended consequences.

While maximizing the catch in the short term may seem beneficial, it can result in overfishing and the depletion of fish stocks over time.

This can disrupt the balance of the ecosystem, impact other species that rely on the fish population, and threaten the long-term sustainability of the fishery.

It is important to consider factors such as the reproductive capacity of fish, their life history traits, and the overall health of the ecosystem when setting sustainable fishing limits.

Sustainable fisheries management practices often involve adopting precautionary approaches that prioritize the conservation and responsible use of fishery resources to ensure their long-term viability.

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Answer:

D

Step-by-step explanation:

the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.

otherwise, we would have a "<=" ("smaller or equal") symbol.

let's start for the first limit to calculate without the absolute value :

-2 + (x - 3) < 7

-5 + x < 7

x < 12

the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :

-1×(-2 + (x - 3)) < 7

2 - (x - 3) < 7

2 - x + 3 < 7

-x + 5 < 7

-x < 2

x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).

Answer:

Uranus : 15

Saturn : 18

Step-by-step explanation:

Uranus = U

Saturn = S

1) U= S -  3

2) U+ S = 33

1)* U - S = -3

2)* U + S = 33

1)* + 2)*      2U = 30, so U = 15

Then Saturn will have 18 (because they add up to 33)

Answer:

A. 6n^3m^3

Step-by-step explanation:

Area is height times length so:

2n^2m(3nm^2)

6n^3m^3

The unit rate of water dropped per day is \($\frac{12}{5}$\) gallons per day.

We can start by finding the unit rate of water dropped per hour.

If the sink drips \($\frac{2}{5}$\) gallon of water in 4 hours, then it drips \(\frac{1}{5}$\) gallon of water in 2 hours (since \((\frac{2}{4} = \frac{1}{2}$).\)

The unit rate of water dropped per hour is:

\($\frac{1/5}{2} = \frac{1}{10}$\) gallon per hour.

To find the unit rate of water dropped per day, we can multiply the unit rate per hour by the number of hours in a day:

\($\frac{1}{10} \text{ gallon per hour} \cdot 24 \text{ hours per day} = \frac{12}{5} \text{ gallons per day}$\)

Therefore, the unit rate of water dropped per day is \($\frac{12}{5}$\) gallons per day.

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The unit rate of water dropped per day is 12/5 gallons.

To find the unit rate of water dropped per day for a sink that drips 2/5 gallons of water in 4 hours, we'll follow these

steps:

Determine how many gallons of water are dripped in one hour.

Calculate the gallons of water dripped in 24 hours (one day).

Calculate gallons per hour.

Since the sink drips 2/5 gallons in 4 hours, we'll divide the gallons by the number of hours:

(2/5) / 4 = (2/5) × (1/4) = 2/20 = 1/10

So, the sink drips 1/10 gallons per hour.

Calculate gallons per day.

Now, we'll multiply the gallons per hour by 24 hours to find the gallons per day:

(1/10) × 24 = 24/10 = 12/5

The unit rate of water dropped per day is 12/5 gallons.

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Answer:

1/16

Step-by-step explanation:

Find the common denominator between 3/4, 1/8, and 1/16. 3/4 and 1/8 denominator can be 16. Then we have to make their denominator the same so multiply 3/4 with 4/4 and multiply 1/8 with 2/2:

3/4 + 1/8 + 1/16 = 12/16 + 2/16 + 1/16 = 15/16

now canola oil is the only thing left to find so that means:

16/16 - 15/16 = 1/16

Answer:

50/3

Step-by-step explanation:

5 5/7 divided by 1 3/5 times 4 2/3

5 5/7 = 40/7

1 3/5 = 8/5

4 2/3 = 14/3

40/7 divided by 8/5 = 40/7 times 5/8 = 200/56

200/56 times 14/3 = 2800/168 = 400/24 = 100/6 = 50/3

So, the answer is 50/3

Answer:

6 days

Step-by-step explanation:

Answer: \(57^{\circ}\)

Step-by-step explanation:

\(\triangle ACB \cong \triangle DBC\), so by CPCTC, \(x=57^{\circ}\)

Yes, it would be possible to use 14C age dating to estimate the age of a dinosaur bone.

Explanation:14C dating is a method used to determine the age of once-living organisms based on the radioactive decay of carbon-14 in their tissues. However, 14C dating is only effective for samples that are less than 50,000 years old. Therefore, it is not possible to use 14C dating to directly date dinosaur bones as they are much older than 50,000 years, and all the carbon-14 would have already decayed.

However, indirect dating methods such as radiometric dating can be used to estimate the age of the rocks in which the dinosaur bones were found. This method is based on the radioactive decay of isotopes in the rocks and can be used to determine the age of the rocks to within a few million years. By association, the age of the dinosaur bones can also be estimated, providing an indirect method of dating them. Therefore, while 14C dating is not useful for directly dating dinosaur bones, it can be used indirectly to estimate their age.

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Answer:

Thisis your answer ☺️☺️☺️

The correct answer is d) All of the above. Regression analysis results are often abused by using the model without understanding its context, predicting outside the data range without acknowledging extrapolation, and disregarding known scientific and economic theories related to the model and its variables.

Regression analysis is a statistical method used to examine the relationship between variables and make predictions based on the observed data. However, the misuse and misinterpretation of regression analysis can lead to erroneous conclusions.

Firstly, using the model without understanding its context can be problematic. The development and recommendation of a regression model are typically based on specific assumptions and limitations, as well as the data used in its construction. Applying the model to a different context without considering these factors may lead to inaccurate predictions or interpretations.

Secondly, predicting outside the region of the data without recognizing that it involves extrapolation is another common misuse of regression analysis. Extrapolation involves making predictions beyond the observed data range, which can be risky since the relationship between variables may not hold true outside the data range. Extrapolation should be approached cautiously and accompanied by a clear acknowledgement of its inherent uncertainties.

Lastly, ignoring known scientific and economic theory related to the model and its variables can also lead to misuse. Regression analysis should be interpreted in the context of existing theories and domain knowledge. Disregarding established theories can result in flawed conclusions or invalid interpretations of the regression model's results.

In conclusion, regression analysis should be used with care and understanding. It is crucial to consider the context, acknowledge the limitations of extrapolation, and incorporate relevant scientific and economic theories to ensure the appropriate use and interpretation of regression analysis results.

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Answer:

-2/5

Step-by-step explanation:

To find the slope, we use the slope formula

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

   = ( -5 - -3)/( 5 - 0)

   = ( -5+3)/( 5-0)

   = -2/5

Hi! I can help you with joy! :)

Answer:

\(\huge\boxed{\bold{Slope=\displaystyle-\frac{2}{5} }}\)

Hope it helps!

~Nature~

The critical t-value corresponding to a 90% confidence level and a sample size of n = 15 is: D. 1.761.

To find the critical t-value corresponding to a 90% confidence level and a sample size of n = 15, we'll follow these steps:

1. Determine the degrees of freedom (df): Since the sample size is n = 15, the degrees of freedom will be df = n - 1 = 15 - 1 = 14.

2. Determine the confidence level: The question asks for a 90% confidence level, which means that there is 10% of uncertainty. We need to divide this remaining 10% by 2 because it's a two-tailed test (5% on each side of the distribution). Therefore, we're looking for the t-value that corresponds to 95% of the area under the t-distribution curve.

3. Use a t-table or calculator: You can either use a t-table or an online calculator to find the critical t-value associated with the 95% confidence level and 14 degrees of freedom. The closest value that you will find in the t-table or calculator is 1.761.

So, the correct answer is: D. 1.761.

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Answer:

90-26=64

64 is the value of x

Step-by-step explanation:

Answer:

The answer to Y/X is 4/1

The mean of the sampling distribution is 0.63 and the standard error of the distribution is approximately 0.0513.

Firstly, the mean of the sampling distribution for the proportion of patients cured by the drug can be calculated using the formula for the expected value of a binomial distribution. Given that the efficacy of the drug is 0.63 and the sample size is n = 92, we can calculate the mean of the distribution as follows: mean = n * p
= 92 * 0.63
= 57.96
Therefore, the mean of the sampling distribution is approximately 57.96.

The standard error of the sampling distribution for the proportion of patients cured by the drug can be calculated using the formula for the standard deviation of a binomial distribution. The standard deviation of a binomial distribution is given by the formula: standard deviation = sqrt(n * p * (1 - p)). Given that the efficacy of the drug is 0.63 and the sample size is n = 92, we can calculate the standard error of the distribution as follows: standard error = sqrt(n * p * (1 - p)) / n
= sqrt(92 * 0.63 * 0.37) / 92
= 0.056
Therefore, the standard error of the sampling distribution is approximately 0.056.

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Answer:

-49152

Step-by-step explanation:

The pattern is:

multiply for 4

then:

-3, -12, -48, -192, -768, -3072, -12288, -49152

Answer:

Step-by-step explanation:

Since on each day 9 shells were found, and there are 7 days: 7 x 9 = 63

Number of shells found this summer: 63

Number of shells found fewer this year than last year: 152 - 63 = 89

Hence, Jon’s family found 63 fewer shells than last year

Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

Let x be the number of shells they find this year than last year.

The value of x can be found as follows:

x = 152 - 7×9

x = 152 - 63

x = 89 shells

Thus, Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

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Answer:

Step-by-step explanation:

The dimensions of a 32-inch TV are 81.28 cm for the diagonal, and approximately 71 cm and 40 cm for width and height in the 16: 9 format.

Answer:

Step-by-step explanation:

a. y=4+5x is the correct answer
because if you substitute the input example
input (x) 4
into the equation y=4+5x
y=4+5(4)
y=4+20
y=24
and when input is 4 the output of the 4th term in output (y) is 24

therefore a. y=4+5x is the right answer

Answer:

C = -6

Step-by-step explanation:

-5+-4=-9

-9-2c=3

-9+9=0; 3+9=12

-2c=12

12/-2= -6

c = -6

Answer:

x = {2,3,4}    (if x can only be positive whole numbers)

Step-by-step explanation:

For a triangle exists, the side lengths of the triangle must be such that the sum of the two shorter sides must be greater than the third side.

This also is equivalent to any two sides must have a sum greater than the third side.

So

7+10 > x^2, => x^2 < 17 => x < sqrt(17)     (maximum)

7+x^2 > 10, => x^2 >3 => x > sqrt(3)

Therefore

sqrt(3) < x < sqrt(17)

If x must be an integer,

2< x < 4, or x = {2,3,4}

(2 , -10) is the co- Oridinates of A.

What exactly does coordinate geometry mean?

The discipline of coordinate geometry is the study of geometry using coordinate points. It is possible to use coordinate geometry to determine distances between points, divide lines into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations.

x coordinate is reduced by -5; y coordinate is increased by -5

so transformation is (x,y) -> (x +5, y-5)

applying the same transformation to B(-3,-5)

B' = (-3 +5 , -5 - 5) = (2 , -10)

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The complete question is -

A translation maps the point (5,7) onto the point (2,9) and the point A onto the point (-3 ,-5) . find the co - oridinates of A.