a car dealership has both new and used vehicles on thier lot.

The Cov(X,Y) = E(XY) - E(X)E(Y) = 1.26 - 0.76(1.70) = 0.02h) Find ρX,Y.To find the correlation coefficient of X and Y, we use the formula ρX,Y = Cov(X,Y) / (σXσY). We already calculated Cov(X,Y) to be 0.02. Now we need to calculate σX and σY. We calculated σX to be 0.638. We could not calculate σY because the variance was negative. Therefore, we cannot find the correlation coefficient of X and Y.

Find the marginal probability mass function pX(x). Round the answers to two decimal places.a.1) Px(0)a.2) Px(1)a.3) Px(2)We can use the following formula to find the marginal probability mass function: Px(x) = Σy P(x, y) where Σy is the sum of all the values of y for each value of x.

The table shows the joint probability mass function of the random variables X and Y.X/Y|0 |1 |2 |P(X=x)0 |0.12 |0.16 |0.280.6 |1 |0.18 |0.14 |0.320.64 |2 |0.10 |0.12 |0.22Let's now use the formula to find Px(0):Px(0) = Σy P(0, y) = P(0,0) + P(0,1) + P(0,2) = 0.12 + 0.16 + 0.28 = 0.56Now we'll find Px(1):Px(1) = Σy P(1, y) = P(1,0) + P(1,1) + P(1,2) = 0.18 + 0.14 = 0.32Lastly, we'll find Px(2):Px(2) = Σy P(2, y) = P(2,0) + P(2,1) + P(2,2) = 0.10 + 0.12 = 0.22b)

Find the marginal probability mass function pY(y). Round the answers to two decimal places.b.1) Py(0)b.2) Py(1)b.3) Py(2)We can use the following formula to find the marginal probability mass function: Py(y) = Σx P(x, y) where Σx is the sum of all the values of x for each value of y. The table shows the joint probability mass function of the random variables X and Y.X/Y|0 |1 |2 |P(X=x)0 |0.12 |0.16 |0.280.6 |1 |0.18 |0.14 |0.320.64 |2 |0.10 |0.12 |0.22

Let's now use the formula to find Py(0):Py(0) = Σx P(x, 0) = P(0,0) + P(1,0) + P(2,0) = 0.12 + 0.18 + 0.10 = 0.40Now we'll find Py(1):Py(1) = Σx P(x, 1) = P(0,1) + P(1,1) + P(2,1) = 0.16 + 0.14 + 0.12 = 0.42Lastly, we'll find Py(2):Py(2) = Σx P(x, 2) = P(0,2) + P(1,2) + P(2,2) = 0.28 + 0.14 + 0.22 = 0.64c) Find µXTo find µX, we use the formula µX = E(X) = Σx xP(X = x).

We can calculate the expected value of X by using the marginal probability mass function Px(x) that we previously calculated. The formula is: E(X) = Σx xPx(x) = 0(0.56) + 1(0.32) + 2(0.22) = 0 + 0.32 + 0.44 = 0.76Therefore, µX = 0.76d) Find μY.

Round the answer to two decimal places.To find µY, we use the formula µY = E(Y) = Σy yP(Y = y). We can calculate the expected value of Y by using the marginal probability mass function Py(y) that we previously calculated. The formula is: E(Y) = Σy yPy(y) = 0(0.40) + 1(0.42) + 2(0.64) = 0 + 0.42 + 1.28 = 1.70Therefore, µY = 1.70e) Find σX.To find the standard deviation of X, we can use the formula σX = sqrt(V(X)) where V(X) is the variance of X. To find the variance of X, we use the formula V(X) = E(X²) - [E(X)]². We already calculated E(X) to be 0.76. Now we need to calculate E(X²):E(X²) = Σx x²P(X = x) = 0²(0.56) + 1²(0.32) + 2²(0.22) = 0 + 0.32 + 0.88 = 1.20

Therefore, V(X) = E(X²) - [E(X)]² = 1.20 - 0.76² = 0.4064σX = sqrt(V(X)) = sqrt(0.4064) = 0.638f) Find σY.To find the standard deviation of Y, we can use the formula σY = sqrt(V(Y)) where V(Y) is the variance of Y. To find the variance of Y, we use the formula V(Y) = E(Y²) - [E(Y)]².

We already calculated E(Y) to be 1.70. Now we need to calculate E(Y²):E(Y²) = Σy y²P(Y = y) = 0²(0.40) + 1²(0.42) + 2²(0.64) = 0 + 0.42 + 1.28 = 1.70Therefore, V(Y) = E(Y²) - [E(Y)]² = 1.70 - 1.70² = -0.29σY = sqrt(V(Y)) = sqrt(-0.29)This is an invalid result, since the variance cannot be negative. Therefore, there may be an error in the calculations or in the values provided in the table.

We cannot find the standard deviation of Y.g) Find Cov(X, Y).To find the covariance of X and Y, we use the formula Cov(X,Y) = E(XY) - E(X)E(Y). We already calculated E(X) and E(Y) to be 0.76 and 1.70 respectively. Now we need to calculate E(XY):E(XY) = Σx Σy xyP(X = x, Y = y) = 0(0)(0.12) + 0(1)(0.16) + 0(2)(0.28) + 1(0)(0.18) + 1(1)(0.14) + 1(2)(0.00) + 2(0)(0.10) + 2(1)(0.12) + 2(2)(0.22) = 0 + 0 + 0 + 0 + 0.14 + 0 + 0 + 0.24 + 0.88 = 1.26

Therefore, Cov(X,Y) = E(XY) - E(X)E(Y) = 1.26 - 0.76(1.70) = 0.02h) Find ρX,Y.To find the correlation coefficient of X and Y, we use the formula ρX,Y = Cov(X,Y) / (σXσY). We already calculated Cov(X,Y) to be 0.02. Now we need to calculate σX and σY. We calculated σX to be 0.638. We could not calculate σY because the variance was negative. Therefore, we cannot find the correlation coefficient of X and Y.

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Answer:

x = 7.25

Step-by-step explanation:

2×(2x + 5) = 39

4x + 10 = 39

4x = 29

x = 7.25

Answer:

The answer is D 0.7

The point estimate for a 90% confidence interval for the difference of the proportions of heavy drinkers between men and women is 0.8922.

Point estimation is a technique used in statistics to choose a single value that will serve as the "best guess" or "best estimate" of an unidentified population characteristic. More precisely, it is the process of applying a point estimator to the data in order to get a point estimate. A form of statistical inference known as "point estimate" is making an educated prediction or approximation about an unknown parameter.

Here,

Out of 100, the success is 90,

point estimate=90/100

The difference in the percentage of heavy drinkers between men and women is estimated as 0.8922 with a 90% confidence range.

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Answer: 1

Step-by-step explanation:

Replace: 2(3)-3(2)+1

=> 6-6+1

=> 1

Have a nice day! :)

Answer:

Monthly pay = int. rate / 12 months * cost of car after downpayment / (1-(1+ int. rate/12 months)^( - term length of loan )

Step-by-step explanation:

Just plug in your numbers:

M = 0.0375/12 * 30000/(1-(1+.0375/12)^60)

since 5 years is 60 months

Answer:

I'm pretty sure it's 0.625

Answer:

$2.08 will be his change

Step-by-step explanation:

1. multiply 2.52x2=5.04 for binders

2. multiply 0.33x3=0.99 for gluesticks

3. multiple 1.89x1= 1.89 for pencils

4. add all the totals up, 5.04+0.99+1.89=$7.92

5. subtract the total of $7.92 from the 10 dollar bill

$10-$7.92= $2.08

We can conclude that triangle 2 is congruent to triangle 1 because a translation is a rigid motion.

Answer:

Step-by-step explanation:

The triangles are congruent because they are the same shape, size, and angle measure. The lines on the angles show that two angles have the same measure. The line on the line segments shows that it hads the same length.

An angle's supplement is the angle that adds up to 180 degrees. As a result, 129° would be the measure of the supplement of an angle with a measure of 51°.

An angle's supplement is the angle that, when combined with the original angle, yields a total of 180°. By deducting the original angle's measurement from 180°, one can determine the supplement angle's measurement. As a result, the measure of the supplement for an angle with a measure of 51° would be 129°. Due to the fact that 180° - 51° Equals 129°. With this knowledge, it is clear that c. 129° is the correct answer. It is significant to remember that, regardless of the size of the original angle, the supplement of an angle always has the same size. As a result, each angle's supplement is always equal to 180° minus the size of the original angle.

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Answer:

129

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Since the lines cross over each other, yes, they do bisect each other.

~theLocoCoco

Answer:

daddy

Step-by-step explanation: daddy for ever

Answer:

I gave the root(s)

Step-by-step explanation:

For the first one, the roots are -2, and -3, so two negative real roots

-----

For the second one the root is ≈ -0.90680042

-----

For the third one, the roots are x ≈−1.59392441,0.42820154, 0.91572287

so he got for £95 and sold it for £133, so  hmmmm the difference is simply £38.

if we take 95 to be the 100%, what is 38 off of it in percentage?

\(\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 95 & 100\\ 38& x \end{array} \implies \cfrac{95}{38}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

High-def television sets would probably be distributed using an intensive strategy. Therefore, option B. is correct.

Intensive distribution refers to a strategy where a product is made widely available through as many outlets as possible. This strategy is typically employed for products that have high demand, are low-cost, and require extensive market coverage. In the case of high-definition television sets, they are popular consumer electronics with a significant market demand.

To determine whether intensive distribution is suitable for high-def television sets, we consider the characteristics of the product. High-definition television sets are relatively low-cost compared to other options in the market, and they are in demand by a broad range of consumers. These factors suggest that an intensive distribution strategy would be appropriate for this product.

Based on the analysis, high-def television sets would most likely be distributed using an intensive strategy. This approach would ensure broad availability and accessibility for consumers, leveraging the product's popularity and fulfilling market demand. By making these television sets widely accessible through multiple outlets, manufacturers can reach a larger customer base, maximize sales potential, and effectively compete in the consumer electronics market.

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We have to prove that triangles EFI and HFG are congruent.

We are given that:

- IE and GH are parallel

- EF and HF are congruent sides.

Then:

1) Statement: IE || GH

Reason: given

2) Statement: EF ≅ HF

Reason: given

3) Statement: Reason: vertical angles

4) Statement: GF ≅ IF

Reason: F is the midpoint of segment GI

5) Statement: ∆EFI ≅ ∆HFG

Reason: SAS postulate

Answer:

I wanna say in the year of 2018.

Step-by-step explanation:

In 2018 the population will reach 40 million.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let us consider x years later it would reach 40 million.

So, 39.1 + 0.35 x = 40

0.35x= 40- 39.1

0.35x= 0.9

x= 2.57

x= 3 years

Hence, In 2018 the population will reach 40 million.

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Step-by-step explanation:

I think you are clear. You can follow me to get more answer.

Answer: x= (2/3,0) y=(0,2)

X=(4,0) y=(0,8)

X=(-3,0) y=(0,-3)

Step-by-step explanation:

the amount of money in the account after 9 years is approximately $5982.09.

How to solve?

Using the formula for continuous compounding, the value of the investment account after t years is given by:

V = Pert

where P is the principal initially invested, e is the base of a natural logarithm, r is the annual interest rate, and t is the time period in years.

In this case, we have P = $2670, r = 8%, and t = 9 years. We can substitute these values into the formula to find the value of the account after 9 years:

V = Pert

V = 2670e²(0.089)

V = 2670×e²0.72

V = $5982.09 (rounded to the nearest cent)

Therefore, the amount of money in the account after 9 years is approximately $5982.09.

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Answer:

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

\(Total~ number~ of~ students:-\)

\(42+58+20+84+41+5\)

\(=250\)

\(soccer=58+41\)

\(=99\)

\(99/250*100\)

\(=0.39*100\)

\(=39\)

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

hope it helps...

have a great day!!

Answer:

1/6

Step-by-step explanation:

Hi!

A standard die has 6 faces including the numbers 1, 2, 3, 4, 5, 6

If we are trying to find the probability that the number rolled is greater than 5, we have to first find how many number are greater than 5. We can see that 6 is the only number greater.

Now we have to find the total amount of possiblities. There are 6 numbers so the total possiblities is 6.

Now we divide the working numbers over the total.

1/6 is the probability that it will roll a number greater than 5.

The total number of possible passwords can be calculated by finding the number of possible combinations for each character position in the password and multiplying them together.

Since each character can be an uppercase letter or a digit, there are a total of 36 possible characters (26 letters + 10 digits). The number of passwords that do not contain any digits can be found by calculating the number of possible passwords with only uppercase letters (26 possible characters) and then multiplying it by the number of possible positions in the password (6 to 8 characters).  Therefore, the total number of possible passwords is: 36⁶ + 36⁷ + 36⁸ - 26⁶ - 26⁷ - 26⁸
= 2,176,782,336 + 78,364,164,096 + 2,821,109,907,456 - 308,915,776 - 8,031,810,176 - 208,827,064,576
= 2,584,618,967,360
So there are a total of 2,584,618,967,360 possible passwords that meet the given criteria.

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The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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The line segments perpendicular to RS will be RB , RQ , ST , SC.

Two lines are said to be perpendicular if they intersect each other at 90 degrees.

Given is is the segment RS.

The line segments perpendicular to RS will be -

RB , RQ , ST , SC

Therefore, the line segments perpendicular to RS will be RB , RQ , ST , SC.

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\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)

\( \large\underline{ \boxed{ \sf{✰\:Notes }}}\)

\( \rule{70mm}{2.9pt}\)

\(\underline{ \boxed{ \sf{✰ \:Concept \: used }}}\)

\( \rule{70mm}{2.9pt}\)

\(\qquad\rm{➛ \: x+ 22+2x-13 = 180 \degree}\\\qquad \rm{✮solving \: like \: terms✮} \\ \qquad\rm{➛ \: 3x + 9 = 180 \degree} \\ \qquad\rm{➛ \: 3x = 180 - 9} \\ \qquad\rm{➛ 3x = \: 171} \\ \qquad\rm{➛x = \frac{171}{3} } \\ \qquad\rm{➛ \: x = \frac{ \cancel{171}}{ \cancel3} } \\ \qquad\rm{➛ \: x = 57 \degree}\)

\( \rule{70mm}{2.9pt}\)

\( \rule{70mm}{2.9pt}\)

✠ Hence ✠

\( { \boxed{✜\underline{ \boxed{ \sf{ x = 57\degree \green✓}}}✜}}\)

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Hope it helps !

1: To add two functions, you simply add the corresponding y-coordinates to get the combined function value is false. 2: When two functions are added, the domain of the combined function consists of all of the values common to the domain of both of the original functions is True. 3: When two functions are multiplied, the range of the combined function consists of all of the values in the range of both of the original functions is False. 4: Given the cost function, C(n), and the revenue function, R(n), for a company, the profit function is given by P(n) = C(n) - R(n) is True.

1: To add two functions, you simply add the corresponding y-coordinates to get the combined function value.

False. To add two functions, you add the corresponding y-coordinates at each point, not the functions themselves.

2: When two functions are added, the domain of the combined function consists of all of the values common to the domain of both of the original functions.

True. When adding two functions, the resulting combined function will have a domain that includes all the values that are common to the domains of both original functions.

3: When two functions are multiplied, the range of the combined function consists of all of the values in the range of both of the original functions.

False. When multiplying two functions, the resulting combined function's range may not necessarily include all the values in the range of both original functions. The range of the combined function depends on the specific behavior of the functions being multiplied.

4: Given the cost function, C(n), and the revenue function, R(n), for a company, the profit function is given by P(n) = C(n) - R(n).

True. The profit function is typically defined as the difference between the revenue function and the cost function, where P(n) represents the profit at a given value n.

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Answer:

=======================

From the ratios we see both a and b are greater than c.

Let's find the smaller of the two, which is the median when the numbers are ordered.

Compare the fractions:

or

As per above, the median is a, which is 80.

Find the value of c:

Find b:

Answer:

a

Step-by-step explanation:

If the lines DE and BC were parallel then

Δ ADE and Δ ABC would be similar and the ratios of corresponding sides would be equal, that is

\(\frac{AD}{AB}\) = \(\frac{AE}{AC}\) , substituting values

\(\frac{4}{10}\) = \(\frac{6}{14}\)

but

\(\frac{4}{10}\) ≠ \(\frac{6}{14}\)

That is 4 : 10 ≠ 6 : 14 → a