If the team takes on two additional players, one at 5 feet 5 inches and the other at 6 feet 7 inches, how is the median of the data set affected? A. The effect on the median of the players' heights cannot be determined. B. The median of the players' heights is decreased. C. The median of the players' heights is increased. D. The median of the players' heights is not affected

Answer:

a. standard deviation

Step-by-step explanation:

Standard deviation measures the variation (how spread out the data is from the mean) of a data set.  

Answer:

x = 0.75 and or x = -0.38

Step-by-step explanation:

If the minus sign after the x was on purpose or if you accidentally put the addition sign after the minus or the other way around basically I have no idea if the solution I provided is correct so here's the solution to both possible equations you might have meant to type instead (and if this was intentional then awesome):

1. 2x - 6x = -3 and 2. 2x + 6x = -3

Let's do 1. first!

\(2x-6x=-3\)

Simplify 2x-6x to -4x

\(-4x=-3\)

Divide each side by -4

\(x=\frac{-3}{-4}\)

And as you know, two negatives equal/make a positive

\(x=\frac{3}{4}\) or \(x=0.75\)

Now! Let's solve for 2.

\(2x+6x=-3\)

Simplify 2x+6x to 8x

\(8x=-3\\\)

Divide both sides by 8

\(x=\frac{-3}{8}\)

\(x=-\frac{3}{8}\) or \(x=-0.375\)

Answer:

c^6

Step-by-step explanation:

\(\frac{x^a}{x^b}=x^{a-b}\\=c^{7-1}\\=c^6\)

The value of y is 6. When dividing 24 by 4, you get 6.

Answer:

Step-by-step explanation:

When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)

which here becomes:

y - 0 = m(x + 1), or y = (-2/3)(x + 1), or  y = (-2/3)x - 2/3

If you want this in standard form, first clear the fractions by multiplying all terms by 3:  3y = -2x - 2

Now add 2x to both sides, obtaining:  2x + 3y = -2 (in "standard form."

Answer: c) perpendicular

Perpendicular slopes always multiply to -1. This is assuming neither line is vertical.

Answer:

160÷3=40

Step-by-step explanation:

that is the answerrrrrrrrrrrrrrrrrrrrrrrrrrr

The statement describes the incidence measure of occurrence, which refers to the number of new cases of a disease or condition that occur in a defined population over a specific period of time.

This statement describes the incidence rate of flu among students living in Dunedin hostels.
The incidence rate is a measure of occurrence that calculates the number of new cases (in this case, students getting sick with the flu) in a specific population (150 students in Dunedin hostels) over a specific time period (3 months). This rate helps us understand the frequency at which the flu is affecting this particular group of students

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Answer:

13/41

Step-by-step explanation:

theres 13 boys out of 41 people in total so yeah

So the series solution to the differential equation is:

y(x) = a_0 + a_1 x - 2a_2 x^2 + 2a_2 x^3 + (a_2/2) x^4 + ...

where a_0 and a_1 are arbitrary constants, and a_n can be recursively calculated using the recurrence relation.

Let's assume that the solution to the given differential equation is of the form:

y(x) = ∑(n=0)^∞ a_n x^n

where a_n are constants to be determined, and we substitute this into the differential equation.

First, we need to find the first and second derivatives of y(x):

y'(x) = ∑(n=1)^∞ n a_n x^(n-1)

y''(x) = ∑(n=2)^∞ n(n-1) a_n x^(n-2)

Now we can substitute these into the differential equation and simplify:

(x – 3) ∑(n=2)^∞ n(n-1) a_n x^(n-2) + 2 ∑(n=1)^∞ n a_n x^(n-1) + ∑(n=0)^∞ a_n x^n = 0

Next, we need to make sure the powers of x on each term match. We can do so by starting the sums at n=0 instead of n=2:

(x – 3) ∑(n=0)^∞ (n+2)(n+1) a_(n+2) x^n + 2 ∑(n=0)^∞ (n+1) a_n x^n + ∑(n=0)^∞ a_n x^n = 0

Expanding the summations gives us:

(x – 3) [2a_2 + 6a_3 x + 12a_4 x^2 + ...] + 2 [a_1 + 2a_2 x + 3a_3 x^2 + ...] + [a_0 + a_1 x + a_2 x^2 + ...] = 0

Simplifying and collecting terms with the same powers of x gives us:

[(2a_2 + a_1) x^0 + (2a_3 + 2a_2 - 3a_1) x^1 + (2a_4 + 3a_3 - 6a_2) x^2 + ...] = 0

Since this equation must be true for all values of x, we can equate the coefficients of each power of x to zero:

2a_2 + a_1 = 0

2a_3 + 2a_2 - 3a_1 = 0

2a_4 + 3a_3 - 6a_2 = 0

...

Using the first equation to solve for a_1, we get:

a_1 = -2a_2

Substituting this into the second equation allows us to solve for a_3:

2a_3 + 2a_2 - 3(-2a_2) = 0

2a_3 = 4a_2

a_3 = 2a_2

Substituting these two equations into the third equation allows us to solve for a_4:

2a_4 + 3(2a_2) - 6a_2 = 0

2a_4 = a_2

a_4 = a_2/2

We can continue this process to find the coefficients for higher powers of x. The recurrence relation for the coefficients is:

a_(n+2) = [(3-2n)/(n+2)(n+1)] a_(n+1) - [(1-n)/(n+2)(n+1)] a_n

where a_0 and a_1 are arbitrary constants.

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The statement implies that no matter how many peanuts and raisins are exchanged between Bob and Mark, they will always end up with an equal number of each. This suggests that the quantity of peanuts and raisins each person initially possesses is irrelevant to the final outcome.

This situation can be illustrated by the concept of a fair trade. If Bob and Mark exchange peanuts and raisins in such a way that the quantity exchanged maintains an equal number of each item for both individuals, the result will always be a balanced distribution.
For example, if Bob initially has 5 peanuts and 3 raisins, and Mark has 2 peanuts and 4 raisins, they can exchange 2 peanuts for 2 raisins. After the exchange, Bob will have 3 peanuts and 5 raisins, while Mark will have 4 peanuts and 2 raisins. The overall result is still an equal number of each item for both individuals.
This statement highlights the idea of fairness in the exchange of goods, where regardless of the initial quantities, the outcome ensures equality between the participants.

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Answer:

x = 50 + 40h

Step-by-step explanation:

you're welcimd

Answer:

Use Law of Cosines

Step-by-step explanation:

1079²= 590² + 494²- (2)(590)(494) cos θ.

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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Answer:

x=-3

Step-by-step explanation:

The values of y with respect to the points created is constant, hence the two points will have the same y values but difference their respective x values

Yes, it is possible to create two 6-sided dice with different numbers than the standard dice

What is probability?

The probability formula involves dividing the number of favorable outcomes by the total number of possible outcomes to determine the probability of an event. The probability of an event ranges from 0 to 1, as the number of favorable outcomes cannot exceed the total number of outcomes.

One example of such a pair of dice is:

Die 1: 1, 1, 2, 3, 3, 4

Die 2: 1, 2, 2, 3, 4, 4

The probabilities of getting each sum with these dice are:

Sum 2: 1/36

Sum 3: 2/36

Sum 4: 3/36

Sum 5: 4/36

Sum 6: 5/36

Sum 7: 6/36

Sum 8: 5/36

Sum 9: 4/36

Sum 10: 3/36

Sum 11: 2/36

Sum 12: 1/36

These probabilities match the probabilities of getting each sum with standard dice, even though the numbers on these dice are different.

Hence, Yes, it is possible to create two 6-sided dice with different numbers than the standard dice

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i didn’t realize u were chill like that

A) The probability that the sample mean is within $500 of the population mean for a sample of size 60 is 0.6611

B) The probability that the sample mean is within $500 of the population mean for a sample of size 120 is 0.7362

The EAI (Error of the Estimate) sampling problem is a specific case of the Central Limit Theorem, which states that the distribution of sample means from a population with a finite variance will be approximately normally distributed as the sample size increases.

The formula for calculating the standard error of the mean is

SE = σ/√n

where SE is the standard error, σ is the population standard deviation, and n is the sample size.

For n = 30, SE = 4,000/√30 = 729.16

A. For a sample size of n = 60, SE = 4,000/√60 = 516.40

To find the probability that the sample mean is within $500 of the population mean, we need to calculate the z-score for a range of +/- $500

z = (x - μ) / SE

where x is the sample mean, μ is the population mean, and SE is the standard error.

For a range of +/- $500, the z-scores are

z = ($51,300 - $51,800) / 516.40 = -0.969

z = ($52,300 - $51,800) / 516.40 = 0.969

Using a standard normal distribution table, the area between z = -0.969 and z = 0.969 is 0.6611.

B. For a sample size of n = 120, SE = 4,000/√120 = 368.93

Following the same steps as above, the z-scores for a range of +/- $500 are

z = ($51,300 - $51,800) / 368.93 = -1.364

z = ($52,300 - $51,800) / 368.93 = 1.364

Using the standard normal distribution table, the area between z = -1.364 and z = 1.364 is 0.7362.

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I assume that it is 1, 3, 4, and 5. Correct me if I'm wrong. Plz give brainliest if I'm right.

Answer:

1. “It was the most thrillingist one that ever was; and so he went on a-bragging

3 “He will be deeply obleeged if they will mention it to their friends.”

4.“We are sold – mighty badly sold.”

6. “These Arkansaw lunkheads couldn’t come up.”

Step-by-step explanation:

Edge-2021

True. If the zero conditional mean assumption holds, the coefficients can be given a causal interpretation.

True. If the zero conditional mean assumption, also known as the exogeneity assumption or the assumption of no omitted variables bias, holds in a regression model, then the coefficients can be given a causal interpretation.

The zero conditional mean assumption states that the error term in the regression model has an expected value of zero given the values of the independent variables. This assumption is important for establishing causality because it implies that there is no systematic relationship between the error term and the independent variables.

When this assumption is satisfied, we can interpret the coefficients as representing the causal effect of the independent variables on the dependent variable, holding other factors constant. However, if the zero conditional mean assumption is violated, the coefficients may be biased and cannot be interpreted causally.

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x = 1

Answer:

\( m\angle XVW = 100\degree\)

Step-by-step explanation:

In the first figure, FP is the bisector of \( \angle DFE\)

\( \therefore m\angle 1 = m\angle 2\\

\therefore 44x + 1 = 46x - 1\\

\therefore 1 + 1 = 46x - 44x\\

\therefore 2 = 2x\\

\therefore \frac{2}{2} = x \\

\huge \red {\boxed {\therefore x = 1}} \)

In the second figure, VP is the bisector of \( \angle XVW\)

\( \therefore m\angle 1 = m\angle 2\\

\therefore 12x + 2 = 11x +6\\

\therefore 12x - 11x = 6 - 2\\

\therefore x = 4\\

\because m\angle XVW = m\angle1 + m\angle 2\\

\therefore m\angle XVW = 12x + 2 + 11x +6\\

\therefore m\angle XVW = 23x + 8\\

\therefore m\angle XVW = 23\times 4+ 8\\

\therefore m\angle XVW = 92+ 8\\

\huge \purple {\boxed {\therefore m\angle XVW = 100\degree}} \\

\)

Answer:

1,082

Step-by-step explanation:

2,300+640=2,940

775+308+385+273+87+30=1,858

2,940-1,858=1,082

The money  left for the rest of her monthly budget is $1,082

Important Information

                       rent / $775

                       utilities / $308

                        car payment / $385

                          student loan payment / $273

                          cell phone plan / $87

                           book club membership / $30

Calculation :

Lets find out the total income earned by Cynthia

\(2,300+640=2,940\)

Now , we find out total expenses

\(775+308+385+273+87+30=1,858\)

To find out money left in her monthly budget, we subtract the expenses from the total income

\(2,940-1,858=1,082\)

The money  left for the rest of her monthly budget is $1,082

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Answer: B

Step-by-step explanation:

The Black Plague or Black Death was spread from Asia to Europe through trading barges or ships. Since a lot of people in Asia contracted the plague, it was natural the rats on the ship also carried the disease. Where the ships landed, rats or their fleas hiding on humans would come with the travelers. While European countries were fighting wars during the plague, it mostly halted because of the sharply increasing deaths from the disease. Religion was used more for trying to cure the Black Death, and ironically there was more food and land for the survivors since there were less mouths to feed.

The expressions that can be used to represent the total earned amount is 5(m + c) and 5m + 5c (option A and D).

In mathematics, an expression is a statement that is made up variables and numbers that are linked together by a mathematical operation.

The total amount earned by Jase is the sum of the total amount earned from mowing the lawn and from washing cars.

Total amount earned = total amount earned from washing cars + total amount earned from mowing lawns

Total amount earned = (cost per lawn mowed x total lawns mowed) + (cost per car washed x number of cars washed)

Total amount earned = ($5 x c) + ($5 x m)

Total amount earned = $5c + 5m

Total amount earned = $5( c + m)

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Answer:

x² + 7x + 5

Step-by-step explanation:

(- 3x² + 2x - 4) + (4x² + 5x + 9)

since both parenthesis are being multiplies by 1 , remove parenthesis

= - 3x² + 2x - 4 + 4x² + 5x + 9 ← collect like terms

= (- 3x² + 4x²) + (2x + 5x) + (- 4 + 9)

= x² + 7x + 5

The equation representing the given transformations is y = 3sin(x - 10°) + 3.

To create an equation in the form y = asin(x - d) + c given the transformations, we can start with the standard sine function and apply the given transformations step by step:

Vertical translation 1 unit up:

The standard sine function has a maximum value of 1 and a minimum value of -1.

To vertically translate it 1 unit up, we add 1 to the function.

This gives us a maximum value of 1 + 1 = 2 and a minimum value of -1 + 1 = 0.

Horizontal translation 10 degrees to the right:

The standard sine function completes one full period (i.e., goes from 0 to 2π) in 360 degrees.

To shift it 10 degrees to the right, we subtract 10 degrees from the angle inside the sine function.

This accounts for the horizontal translation.

Adjusting the amplitude:

To achieve a maximum value of 8, we need to adjust the amplitude of the function.

The amplitude represents the vertical stretch or compression of the graph.

In this case, the amplitude needs to be 8/2 = 4 since the original sine function has an amplitude of 1.

Putting it all together, the equation for the given transformations is:

y = 4sin(x - 10°) + 2

This equation represents a sine function that has been vertically translated 1 unit up, horizontally translated 10 degrees to the right, and has a maximum value of 8 and a minimum value of 2.

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      The question gives us two points,  (-3,-3) and (-9,5), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m)   = (y₂ - y₁) ÷ (x₂ - x₁)

                                           = (5 -(-3)) ÷ (-9 -(-3))      

                                           =  (5 + 3) ÷ (-9 + 3)    

                                           =   - ⁴/₃  

Checking my answer visually:  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.

                                ⇒  y - (-3) = - ⁴/₃ (x - (-3)        [ using the point (-3, -3)]

                                       y + 3  = - ⁴/₃ (x + 3)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.