Carson claims that the opposite of any integer is always a negative number.
Is he correct? Explain why or why not.

Let the random variables x and y have joint pdf as follows: f(x,y) = 1/5(11x^2 + 4y^2) so Cov(x,y) (round off to third decimal place) is 0.241.

The covariance formula in statistics is used to evaluate the relationship between two variables. In essence, it serves as a gauge for the variation between two variables. Covariance is calculated by multiplying the units of the two variables, and it is expressed in units. Any positive or negative value might be the variance.

E[(X−EX)(Y−EY)]

=E[XY−X(EY)−(EX)Y+(EX)(EY)]

=E[XY]−(EX)(EY)−(EX)(EY)+(EX)(EY)

=E[XY]−(EX)(EY).

E(Y) = ∫ 1/x dx = ∫ 11/5 = ln 11/5 = 0.788

E(XY) = E[X 1/X]= 1

It is feasible to get the correlation coefficient formula from the covariance using the aforementioned formula, and vice versa. Units of covariance are calculated by multiplying the units of the two provided variables.

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An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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Answer:

15

Step-by-step explanation:

We add up the ages of all the basketball players.

13 + 13 + 13 + 14 + 14 + 17 + 18 + 18 = 120

Now we divide by the number of basketball players.

120 ÷ 8 = 15

The mean age of the basketball players are 15.

Answer:

Mean = 15

Step-by-step explanation:

Mean = sum of observation. ÷ total no. of observation

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

14+5x=−5(x−8)+4

14+5x=(−5)(x)+(−5)(−8)+4(Distribute)

14+5x=−5x+40+4

5x+14=(−5x)+(40+4)(Combine Like Terms)

5x+14=−5x+44

5x+14=−5x+44

Step 2: Add 5x to both sides.

5x+14+5x=−5x+44+5x

10x+14=44

Step 3: Subtract 14 from both sides.

10x+14−14=44−14

10x=30

Step 4: Divide both sides by 10.

10x/10 = 30/10

Answer:

x=3

Step-by-step explanation:

1. Rearrange terms

2. Distribute

3. Add the numbers

4. Subtract14 from both sides of the equation

5. Simplify

The value of x in the secant intersection is 4.

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Therefore, let's find the value of x using the secant intersection theorem as follows;

4(4+x + 2) = 5(5 + x - 1)

4(6 + x) = 5(4 + x)

24 + 4x = 20 + 5x

24 - 20 = 5x - 4x

x = 4

Therefore,

x = 4

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Answer:

d is the answer

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

\(?=(10x^{2} -6x+1)-(5x+7)-(8x^{2} -4x)\)

  \(=10x^{2} -8x^{2} -6x-5x+4x+1-7\)

 \(=2x^{2} -11x-4x-6\)

  \(=2x^{2} -7x-6\)

Hope this helps

Answer:

Step-by-step explanation:

8b + 1 = 0

8b = -1

b = -1/8

b + 8 = 0

b = -8

Answer:

it would techically be a 50/50 chance of getting either an A or a 2

Answer/Step-by-step explanation:

Part A

(x + 13) + (4x - 8) = 90

x + 13 + 4x - 8 = 90

5x + 5 = 90

     -5     -5

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

5x = 85

÷5     ÷5

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

x = 17

Part B

m∠OPQ = (x + 13)°

m∠OPQ = (17 + 13)°

m∠OPQ = 30°

m∠RPS = (4x - 8)

m∠RPS = (4(17) - 8)

m∠RPS = (68 - 8)

m∠RPS = 60°

Part C

Vertical angles equal each other. To test if they are vertical angles they would need to be equal to each other.

x + 13 = 4x - 8

-4x        -4x

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

-3x + 13 = -8

       -13     -13

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

-3x = -21

÷-3     ÷-3

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

x = 7

x + 13 = 4x - 8

(7) + 13 = 4(7) - 8

20 = 28 - 8

20 = 20

These angles equal each other; therefore, they are also vertical angles.

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I hope this helps!

Answer:

MEEEEEEEEEEEEE I GOING POST IT RIGHT NOW

Step-by-step explanation:

can you help with calculus? with polynomial graphs and some kind of domain and some kind of derivative.

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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

The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

I do not understand what do you mean

Answer:

10% = 500/10 = 50

So 10% is 50ml

10% x 7 = 70%

50 x 7 = 350ml

70% is 350ml

This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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Answer:

92 dB

Step-by-step explanation:

Fsf

Answer:

\(volume = base \: area \times height \\ = 36 \times 8 \\ = 288 \: cubic \: inches\)

The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.

Hence,

The number of possible "Sizes" from the specified 4 sizes are ⁴C₁

The number of sorts of bun that is possible from the specified two bun types is:  ²C₁

From the four sides, the number of possible side purchases is:  ⁴C₁

Of the available four drinks, the number of the possible drinks is: ⁴C₁

Now the possible number of all lunches are:

⁴C₁ x  ²C₁ x  ⁴C₁ x  ⁴C₁

= 4 x 2 x 4 x 4

= 128

Hence the number of Kid's Lunches that are possible are 128.

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The slope field for the differential equation would be D . Graph D .

A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .

The length of line segments represents the magnitude, while the direction indicates the sign of the slope.

The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.

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4,6,8,10 are in A.P

\(\\ \rm\Rrightarrow a_n=a+(n-1)d\)

\(\\ \rm\Rrightarrow a_20=4+(20-1)2\)

\(\\ \rm\Rrightarrow a_20=4+19(2)\)

\(\\ \rm\Rrightarrow a_20=4+38\)

\(\\ \rm\Rrightarrow a_20=42\)

At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

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It will take Adrian 16 full months to save enough money for the electric keyboard.

- Price of the keyboard (with tax) at Macelli's: $2,400
- Adrian's monthly savings: $150
We need to find how long it will take Adrian to save for the keyboard. To do this, we'll divide the total cost of the keyboard by his monthly savings and round up to the nearest full month.
Step 1: Divide the total cost by monthly savings.
Time (in months) = (Total Cost) / (Monthly Savings) = ($2,400) / ($150)
Step 2: Calculate the result.
Time (in months) = 16
So, it will take Adrian 16 full months to save enough money for the electric keyboard.

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Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

We are asked to find the principal for an amount compounded quarterly. Let's remember the formula for a future compounded quarterly:

We solve for P:

We are given the following values:

Replacing we get:

Solving the operations:

Therefore, the initial value must be $4709.88

Answer:

c 12 red marbles and 9(origninally i had 12 rad marbles and 8 blue i ment 9) blue marbles XD

Step-by-step explanation:can i get brainliest

Answer:

eldinosauriocomera3.5kilos de carne :)

Step-by-step explanation:

The male with an associate degree has a yearly median income of $36,432.

The median income means an income amount that divides a population into two equal groups, half having an income above that amount, and half having an income below that amount

The weekly income of a male with an associate degree is $759. We have 4 weeks in a month, and 12 months in a year. So, the yearly median income is:

= 4 *12 * $759

= $36,432

Therefore, the male with an associate degree has a yearly median income of $36,432.

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Answer:

\(\boxed{Option \ C}\)

Step-by-step explanation:

\(y = -x^2+3x+18\\y = -2x+4\)

Equating both equations

=> \(-x^2+3x+18 = -2x+4\\x^2-2x-3x+4-18 = 0\\x^2-5x-14=0\)

Using mid term break formula

=> \(x^2-7x+2x-14=0\\x(x-7)+2(x-7)=0\\Taking \ (x-7) \ common\\(x+2)(x-7) = 0\)

Either,

x + 2 = 0     OR    x - 7 = 0

 x = -2         OR      x = 7

For, x = -2 , y is

=> y = -2x+4

=> y = -2(-2)+4

=> y = 4+4

=> y = 8

So, the ordered pair is (-2,8)

For x = 7 , y is

=> y = -2(7)+4

=> y = -14+4

=> y = -10

So, the ordered pair for this is (7, -10)

Solution Set = {(-2,8),(7,-10)}

Answer:

The answer is option C

Step-by-step explanation:

y = - x² + 3x + 18

y = - 2x + 4

Since they are both equal to y we equate them

That's,

- x² + 3x + 18 = - 2x + 4

x² - 5x - 14 = 0

Solve the quadratic equation

x² - 5x - 14 = 0

x² + 2x - 7x - 14 = 0

x(x + 2) - 7( x + 2) = 0

( x - 7)(x + 2) = 0

x - 7 = 0 x + 2 = 0

x = 7 x = - 2

Substitute the values of x into y = - 2x + 4

That's

when x = 7 when x = - 2

y = - 2(7) + 4 y = - 2(-2) + 4

y = - 14 + 4 y = 4 + 4

y = - 10 y = 8

So the solutions are

Hope this helps you

Answer:

8

Step-by-step explanation:

120/14.25=8.4 rounded off to a whole number is 8

Answer:

\(= log_{10} 11.33\\\)

Step-by-step explanation:

Given the expression;

\(log_{10}(\frac{30}{10} ) - 2log_{10} \frac{5}{9} + log_{10}(\frac{400}{343} )\)

Using the law of logarithm;

loga + logb = log(ab) and;

log a - log b = log(a/b)

The expression becomes;

\(= log_{10}(\frac{30}{10} ) + log_{10}(\frac{400}{343} )- 2log_{10} \frac{5}{9}\\= log_{10}(\frac{30}{10} ) + log_{10}(\frac{400}{343} )- log_{10} (\frac{5}{9})^2\\= log_{10}(\frac{30}{10} ) + log_{10}(\frac{400}{343} )- log_{10} \frac{25}{81}\\= log_{10}(\frac{30}{10} \times \frac{400}{343} \div \frac{25}{81})\\= log_{10}(\frac{30}{10} \times \frac{400}{343} \times \frac{81}{25})\\= log_{10}(\frac{3 \times 16 \times 81}{343} )\\= log_{10} \frac{3,888}{343} \\= log_{10} 11.33\\\)

9514 1404 393

Answer:

  = log(3888/343)

  = log(3888) -log(343)

  = 4·log(2) +5·log(3) -3·log(7)

  ≈ 1.054432

Step-by-step explanation:

Perhaps you want to simplify and evaluate the logarithm.

The applicable rules are ...

  log(a/b) = log(a) -log(b)

  n·log(a) = log(a^n)

__

We will use "log" for "log10". So, your logarithm can be written as ...

  log(30/10) -2·log(5/9) +log(400/343)

  = log(3) +log(81/25) +log(400/343)

  = log(3·81·400/(25·343)) = log(3888/343)

  = log(3888) -log(343)

  = log(2^4·3^5) -log(7^3) = 4·log(2) +5·log(3) -3·log(7) ≈ 1.054432

_____

Additional comment

My personal favorite form is the log of a fraction, as it requires the fewest calculator keystrokes. Perhaps the "simplest" is the weighted sum of the logs of primes.