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when the outliers are removed, what is the mean age of the remaining students? round your answer to the nearest tenth




=18.6





what is the median age of the remaining students?




=18.5





when the outliers are removed from the data the greatest change generally occurs in the... mean

Answer:

the y-intercept is 2/5 and the slope is -5

Step-by-step explanation:

Answer:

15-1/2j

Step-by-step explanation:

I hope this helps

80, 7, and 2.87 are not irrational numbers.

What is an irrational number?

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0. Example: √2, √3, √5, etc all are irrational.

Given numbers: 80, 7, 2.87, √59

80 = It is a rational number

7 = It is a rational number

2.87 = It is a rational number

√59 = It is an irrational number.

Hence, 80, 7, and 2.87 are not irrational numbers.

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The chi-square test of independence is typically used to analyze the relationship between two variables when both variables are nominal, the two variables have been measured on different individuals and the observations on each variable are within-subjects in nature. The answer is  D. all of the above

The chi-square test of independence is a statistical test that is used to determine if there is a significant association between two categorical variables. It is commonly used when both variables are nominal, meaning they consist of categories or groups rather than numerical values.

When conducting the chi-square test of independence, the data is typically collected by measuring the two variables on different individuals or units.

For example, researchers may collect data on the gender (nominal variable) and political affiliation (nominal variable) of different individuals and analyze whether there is a relationship between the two variables.

The test examines the observed frequencies of the different categories in a contingency table and compares them to the expected frequencies under the assumption of independence. If the observed and expected frequencies significantly differ, it suggests that there is an association between the two variables.

Therefore, the chi-square test of independence is applicable when both variables are nominal and the data is collected on different individuals. This allows researchers to investigate the relationship between the variables and determine if they are associated or independent.

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For the function f(x, y) = 1 - xy + y²= -y = -1, fy(-2,1) = 2y - x = 3.

When y is stationary, the rate of change of f with respect to x is determined by the partial derivative fx. Meanwhile, fy measures the rate of change of f in relation to y while holding x constant.

At the point (-2,1), the fx partial derivative symbolizes the incline of the level curve tangent line that follows the x-direction in relation to f. Its counterpart fy denotes the incline of the level curve tangent line that follows the y-direction regarding f at (-2,1).

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Complete answer - Let f(x, y) = 1 - xy + y² Compute fx(-2, 1) and fy(-2,1), and interpret these partial derivatives geometrically."

The ordered pair notation for UOS is UOS = {(a, b)} .

To express the relation UOS using ordered pair notation, we need to find all the pairs of elements that are related in both U and S.
Looking at U and S:
U = {(a, 6), (d, a)}
S = {(a, b), (d, d)}
We can see that the only pair that is related in both U and S is (a, b). Therefore, the ordered pair notation for UOS is:
UOS = {(a, b)}
Note that we only include the pair that is related in both U and S, even though there may be other pairs that are related in U or S individually.

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Step-by-step explanation:

0.0003÷0.0000000009=

333,333.33333333

Answer:correct

Step-by-step explanation:

Answer: $7.80

Step-by-step explanation:

Based on the information given in the question, the expected profit that the farmer makes will be:

= (Probability of edible stocks × Profit) - (Probability of inedible stocks × Loss)

= (95% × $8) - (5% × $4)

= (0.95 × $8) - (0.05 × $4)

= $7.60 + $0.20

= $7.80

Therefore, the expected profit that the farmer makes is $7.80.

Answer:

$7.40/bushel

Step-by-step explanation:

i took the test and got it right

Answer:

x = 9

Step-by-step explanation:

using Pythagoras' identity in right triangle BCD

BC² + CD² = BD²

BC² + 6² = 10²

BC² + 36 = 100 ( subtract 36 from both sides )

BC² = 64 ( take square root of both sides )

BC = \(\sqrt{64}\) = 8

using Pythagoras' identity in right triangle ABC

AC² + BC² = AB²

AC² + 8² = 17²

AC² + 64 = 289 ( subtract 64 from both sides )

AC² = 225 ( take square root of both sides )

AC = \(\sqrt{225}\) = 15

Then

x + 6 = 15 ( subtract 6 from both sides )

x = 9

Answer:

8x + 2y = 10  ==>  y = -4x + 5

12x - 3y = -25​  ==>  y = 4x + 25/3

Step-by-step explanation:

8x + 2y = 10  ==> solve for y

2y = 10 - 8x  ==> subtract 8x on both sides

(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y

y = 5 - 4x  ==> simplify

y = -4x + 5  ==> put the equation in y=mx+b form

12x - 3y = -25​  ==> solve for y

12x = -25 + 3y  ==> make y positive by adding 3y on both sides

12x + 25 = 3y ==> add 25 on both sides to isolate y

(3y = 12x + 25) / 3  ==> divide the equation by 3 to make 3y into y

y = 4x + 25/3 ==> simplify

The rectangular pice has a wide of 24 inches and 40 inches long so we can calculate the area of the rectangle:

Now they say that Lenna folds the piece of fabric along its diagonal so the triangle will have halve of the area of the triangle, so que so we can divide the area of the trangle by 2

So the triangle has an area o

The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.

Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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Answer:

\(\huge\boxed{\sf n = 4}\)

Step-by-step explanation:

6 + 8n + 2n = 4n + 30

6 + 10n = 4n + 30

6 + 10n - 4n = 30

6 + 6n = 30

6n = 30 - 6

6n = 24

n = 24 / 6

\(\rule[225]{225}{2}\)

If the rate of interest is 5%, compounded continuously, t =13.86

years.

Let P be the initial value of the investment.

According to the problem, the investment grows to three times the initial value after t years. This can be expressed mathematically as:

P * e^(0.05t) = 3P

where e is the mathematical constant e (approximately 2.71828).

Simplifying this equation:

e^(0.05t) = 3

Taking the natural logarithm of both sides:

ln(e^(0.05t)) = ln(3)

0.05t = ln(3)

Dividing both sides by 0.05:

t = ln(3) / 0.05 ≈ 13.86

Rounding to the nearest hundredth, we get:

t ≈ 13.86 years.

Compound interest is a type of interest calculation where the interest earned on an investment is added to the principal (the initial amount invested), and then the total amount is used to calculate the interest earned for the next time period.

This means that the interest earned on an investment increases over time, as the interest earned in previous periods is added to the principal. This can result in significant growth in the value of the investment over time, particularly for long-term investments.

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First, let's calculate the slope:

Using this, point (1, -6) and the slope-point form, we get that the equation is:

Thereby, the equation of the line is

Answer:

Negative

Step-by-step explanation:

Answer:

\(x =12.5\)

Step-by-step explanation:

Given

\(300x + \frac{500}{7}y =10000\)

\(y = 87.5\)

Required

Find x

Substitute \(y = 87.5\) in \(300x + \frac{500}{7}y =10000\)

\(300x + \frac{500}{7}*87.5 =10000\)

\(300x + 500*12.5 =10000\)

\(300x + 6250=10000\)

Collect like terms

\(300x =10000-6250\)

\(300x =3750\)

Divide by 300

\(x =12.5\)

Answer:

12.5

Step-by-step explanation:

Answer:

-2.25, -1/4, 0.625, 87.5%

In a parallelogram, The statement "angle A and angle D are supplementary" is not correct.

The same-side interior angles theorem states that if a transversal intersects two parallel lines, then the same-side interior angles are supplementary. However, in this case, we are dealing with a parallelogram, which has two pairs of parallel sides.

When we say that "ab||dc", we are stating that side AB is parallel to side DC. We cannot assume that side AD is a transversal between these two sides, as it could intersect the sides at some other angle. Therefore, we cannot conclude that angle A and angle D are angles.

However, we do know that opposite angles in a parallelogram are congruent. Therefore, we can conclude that angle A is congruent to angle C, and angle B is congruent to angle D.

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Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

1. Formula:

D x R x Y

2. Solve

= 10 x 0.15 x 3

= $4.50

Abigail will have $4.50 in three years.

Key:

D = Dollars

R = Percentage Rate

Y = Years

Hope this helped! Have a nice day! :D

The probability of hitting the bullseye if the dart is thrown 40 times is approx. 3 times.

The quantity of occurrences of an event is referred to as its frequency. The concept of relative frequency is experimental rather than theoretical. It is experimental, therefore if we repeat the trials, we can get different relative frequencies. To determine the frequency, we must first:

Number of occurrences for the entire population

Frequency count for a particular demographic segment

If we know the two frequencies mentioned above, we can use the following formula to get the relative frequency probability. A subgroup's formula is as follows:

Subgroup Count / Overall Count: Relative Frequency

Given that, a player hits the bullseye with a dart 8% of the time.

The probability of hitting the dart is = 8/100.

Now, the probability of hitting the bullseye if the dart is thrown 40 times is:

p = 40 (8/100) = 3.2 times = 3 times.

Hence, the probability of hitting the bullseye if the dart is thrown 40 times is approx. 3 times.

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Statistics is the field that issues the collection, company, evaluation, interpretation, and presentation of statistics. In applying records to a systematic, business, or social hassle, it is conventional to start with a statistical populace or a statistical version to be studied. Populations can be numerous agencies of people or objects such as "anybody living in a rustic" or "each atom composing a crystal". facts deals with each component of statistics, consisting of the making plans of information series in phrases of the layout of surveys and experiments.

Whilst census facts can't be amassed, statisticians acquire records with the aid of growing particular test designs and survey samples. representative sampling assures that inferences and conclusions can reasonably expand from the sample to the population as a whole.

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Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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