A bag contains 6 red marbles and 4 yellow marbles. One marble is drawn at random and not replaced. Then a second marble is drawn. What is the probability that the first marble is yellow and the second one is red?

It is true, as The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.

Correlations describe the connections between different variables. Strong, weak, positive, or negative expressions are all possible. 1 = Causation need not always follow from correlation. A statistical measure of the linear relationship between two variables is called correlation (that is, do they change at a constant rate). Without defining cause and effect, this is a common method for illustrating straightforward connections. To illustrate the connection between two quantitative variables, statistical language employs correlation. Additionally, we consider that this connection is linear. In other words, when one variable changes by a given amount, the other variable also changes by a fixed amount, but only by one unit.

The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.

So, it is true.

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Answer:

241 t-shirt and 49 short

Step-by-step explanation:

lets call shorts x and tshirts y

x+y=290 (first equation)

4x+2y=678 (second equation) { we multiply the price of short with the short so we can get the pieces sold and also with the t-shirt to get the pieces sold)

x=290-y

and substitute it with x in the second equation

4(290-y)+2y=678 then till u get to y=241 (the pieces sold)

290-241=49 (pieces sold)

so as proof 49+241=290 pieces sold

as proof also 4*49=196 price of all shorts sold

2*241=482 price of all t-shirts sold then add them together and u will get 196+482=678$

Answer:

its f

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

The coordinate of a point that divides a line AB in a ratio a:b from A(\(x_1,y_1\)) to B(\(x_2,y_2\)) is given by the formula:

\((x,y)=(\frac{bx_1+ax_2}{a+b} ,\frac{by_1+ay_2}{a+b} )=(\frac{a}{a+b}(x_2-x_1)+x_1 ,\frac{a}{a+b}(y_2-y_1)+y_1 )\)

Given that a line JK, with  Point J is at ( -6, - 2) and point K is at point (8, - 9) into a ratio of 2:5. The x coordinate is given as:

\(x=\frac{2}{2+5} (8-(-6))+(-6)=\frac{2}{7}(14) -6=4-6=-2\)

Line segments can be divided into equal or unequal ratios

The x coordinate of the segment is -2

The coordinates of points J and K are given as:

\(J = (-6,-2)\)

\(K = (8,-9)\)

The ratio is given as:

\(m : n =2 : 5\)

The x-coordinate is then calculated using:

\(x = (\frac{m}{m + n }) (x_2 - x_1) + x_1\)

So, we have:

\(x = (\frac{2}{2 + 5 }) (8 - -6) -6\)

\(x = (\frac{2}{7}) (14) -6\)

Expand

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

Open bracket

\(x = 4 -6\)

Subtract 6 from 4

\(x = -2\)

Hence, the x coordinate of the segment is -2

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The cost of four and three-fourths pounds of beef is $18.95.

Given,

Amount of beef purchased = 4 and 3/4th  pounds.

Cost of beef per pound = $3.99

We need to find how much four and three-fourths pounds of beef cost.

Find the cost of 1 pound of beef.

1 pound = $3.99

We can write four and three-fourths as:

= 4 3/4

= 19/4

Find the cost of 19/4 pounds of beef.

1 pound = $3.99

Multiplying by 19/4 on both sides.

19/4  x 1 pound = 19/4 x $3.99

19/4 pounds =$18.95

Thus the cost of four and three-fourths pounds of beef is $18.95.

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Answer:

Bond

Step-by-step explanation:

A promissory note or a promise to repay a certain amount of money at some point in the future is basically a bond.

A bond is a debt security that represents a loan made by an investor to a borrower, which is usually a corporation or government agency. It is a fixed-income investment, meaning that the borrower promises to pay a specific amount of interest over a set period of time and return the principal amount of the loan on the date of maturity. Bonds are issued for various purposes, such as raising capital, funding new projects, or refinancing debt.

CD (Certificate of Deposit) is a savings instrument issued by a bank or credit union that generally pays a fixed rate of interest over a set term. Mutual fund is an investment vehicle that pools money from multiple investors to purchase a portfolio of securities, such as stocks, bonds, or both. Stock is an ownership share in a company that represents a claim on part of the company's assets and earnings.

The Transitive property states that;

if a=b and b=c then a=c.

and c by b.

if a = -3 and -3 = b, then a = b.

So, the property illustrated is similar to the Transitive property

Therefore, the property illustrated is the Transitive property.So, if you replace b with -3 we have;

f

Check the picture below.

The correlation coefficient of the security X and Y returns is closest to 0.67, indicating a moderate positive correlation between the two securities.

The correlation coefficient of the security X and Y returns is closest to 0.67. This can be calculated by dividing the covariance of the returns by the square root of the product of the variances of X and Y.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1, with values close to 1 indicating a strong positive correlation, values close to -1 indicating a strong negative correlation, and values close to 0 indicating a weak or no correlation.

In this case, the given covariance is 10, the variance of Security X's returns is 13%, and the variance of Security Y's returns is 17%. To calculate the correlation coefficient, we use the formula:

Correlation coefficient = Covariance / (\(\sqrt{}\)(Variance_X) * \(\sqrt\)(Variance_Y))

Plugging in the values, we get:

Correlation coefficient = 10 / (\(\sqrt\)(13%) * \(\sqrt\)(17%)) ≈ 0.67

Therefore, the closest option is 0.67, indicating a moderately strong positive correlation between the returns of Security X and Security Y.

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Answer:

Answer:

\(C = 2\pi r\)

\(C = \pi d\)

Step-by-step explanation:

Given

A circular ring

Required

The length

Let

\(r \to\) the radius of the ring

The length is calculated by calculating the circumference of the ring.

This is calculated using:

\(C = 2\pi r\)

or

\(C = \pi d\)

Where

\(d \to\) diameter

and \(d = 2r\)

Answer:

x = (c + 6b)/3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

-b + 3x = c + 5b

Step 2: Solve for x

Answer: x = 4

Step-by-step explanation:

1.25(4x-10)=7.5

5x-12.5 = 7.5

5x = 20

x = 4

Answer:

x=4

Step-by-step explanation:

1.25(4(4)-10)=7.5

1.25(16-10)=7.5

1.25(6)=7.5

7.5=7.5

TRUE

The distance the bird has flown by the time Alice and Bob meet is 40 feet.

Given that the distance between Alice and Bob is 1000 feet and their running speed is 10 feet per second and the speed of bird is 20 feet per second.

Distance equals speed multiplied by time.

Distance between Alice and Bob=1000 feet.

Distance between the bird and Bob=1000 feet.

Speed of Alice and Bob=10 feet per second.

The combined speed of Alice and Bob=20 feet per second.

Since the two are running directly toward each other the distance each will cover at the meeting point is 50 feet (1000/20)

The time covered at the meeting point=20 second (1000/50)

Speed of the bird=20 feet per second.

The distance covered by the bird towards Bob at their meeting point is 40 feet(20 feet*20 seconds).

Hence the distance the bird has flown by the time Alice and Bob meet is 40 feet.

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Ramon rode his bike away from home, covering a distance of 8 meters in 4 seconds. After stopping for 3 seconds to tie his shoe, he realized he forgot something and moved back towards home, covering another 8 meters in 2 seconds. In total, Ramon covered a distance of 16 meters.

let's break down Ramon's movements step by step:
1. Ramon rides his bike away from his house and moves 2 meters every second for 4 seconds.
  - In this step, Ramon covers a distance of 2 meters/second * 4 seconds = 8 meters.
2. Ramon stops for 3 seconds to tie his shoe.
  - During this time, Ramon does not cover any distance since he is stationary.
3. Ramon realizes he forgot something at home and goes back, moving 4 meters every second for 2 seconds.
  - In this step, Ramon covers a distance of 4 meters/second * 2 seconds = 8 meters.
To find the total distance covered by Ramon, we add the distances covered in each step:
8 meters (away from home) + 0 meters (stationary) + 8 meters (back towards home) = 16 meters
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Answer: 60

Step-by-step explanation: 30+ 50 + 60 + 70 + 90 = 300

Divide by 5

The graph of the relationship has an equation of m = 3.75k and it is is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The constant of proportionality is 3.75 grams/liter

This means that

k = 3.75

As a general rule

A proportional relationship is represented as

y = kx

In this case, we use

m = kv

Where

Using the above as a guide, we have the following:

m = 3.75k

So, the equation of the relationship is m = 3.75k

The graph of the relationship m = 3.75k is added as an attachment

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The volume of the pyramid is determined as 480 m³.

option A.

The volume of a pyramid is calculated by applying the following formula as shown below;

Mathematically, the formula for the volume of a pyramid is given as;

V = ¹/₃ Bh

where;

The base area of the pyramid is calculated as follows;

B = ¹/₂Pa

where;

B = ¹/₂ x 4m x 40m

B = 80 m²

The volume of the pyramid is calculated as;

V = ¹/₃ x 80 m² x 18 m

V = 480 m³

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The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

To find the arc length of a polar curve, we use the formula:

L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ

where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.

In this case, we have r(θ) = e^5θ, so:

dr(θ)/dθ = 5e^5θ

Plugging these into the arc length formula, we get:

L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ

Simplifying the integrand, we have:

L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ

L = ∫[0,2π] √(26e^10θ) dθ

L = √26 ∫[0,2π] e^5θ dθ

Using the formula for the integral of e^x, we get:

L = √26 [e^5θ / 5] |_0^(2π)

L = √26 [(e^10π - 1) / 5]

So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

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live to be 80 years old and sleep 8 hours a day, How many years have I slept

Solution

A day has 24 hours

24 = 8 + 8 + 8

So you spent 1/3 of your time sleeping.

You can get the same answer if you do 8/24

8/24 = (8 ÷ 8) / ( 24 ÷ 8) = 1/3

All you need to do now is to find 1/3 of 80

1/3 of 80 = 1/3 × 80 = 80/3

80 / 3 = (78 + 2) / 3 = 78 / 3 + 2 / 3 = 26 + 2/3

So that is 26 years + ( 2/3 of a year)

What is 2 / 3 of a year?

Since 2 /3 of a year is a fraction of a year, the answer for 2 / 3 of a year will be in months.

1 year = 12 months.

Just find out what 2/3 of 12 is

2/3 of 12 is 2/3 times 12

2/3 times 12 = (2 times 12) / 3 = 24 / 3 = 8 months

Putting everything together, you slept for 26 years and 8 months during your lifetime.

Hope it helped!

Based on the given pictures:

Angle ∠1 has a more than 90° angle, means that it is classified as obtuse angle.

Angle ∠2 has a less than 90° angle, means that it is classified as an acute angle.

∠ABC is a straight angle because it creates a straight line with 180°.

Angle ∠2 can be named as ∠EBD because it was created by lines EB and ED.

∠WXY = 88°

∠WXZ = 4x - 3

∠ZXY = 2x + 1

∠WXY = ∠WXZ + ∠ZXY

88 = (4x - 3) + (2x + 1)

88 = 6x - 2

6x = 90

x = 15

∠HIJ = 108°

IK bisects ∠HIJ

∠HIK = 4x + 2

∠HIJ = 2∠HIK

108 = 2(4x + 2)

108 = 8x + 4

8x = 104

x = 13

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The answer is B

hope that helps

In the given scenario, an optical inspection system is used to classify different part types. The probability of a correct classification for any part is 0.98.

We are interested in determining the probability mass function (PMF) of the random variable x, which represents the number of parts correctly classified. Since the classifications are independent, we can use the binomial distribution to model this situation. The PMF of x is given by the binomial distribution formula: P(x) = C(n, x) * p^x * (1-p)^(n-x), where n is the number of parts inspected, p is the probability of correct classification (0.98), and C(n, x) represents the binomial coefficient.

To determine the probability mass function (PMF) of the random variable x, we use the binomial distribution formula. The binomial distribution is applicable in this case because the classifications of the parts are independent events and have a fixed probability of success (correct classification) for each trial.

The PMF of x, denoted as P(x), represents the probability of obtaining exactly x parts correctly classified out of the total number of inspected parts. It is calculated using the binomial distribution formula:

P(x) = C(n, x) * p^x * (1-p)^(n-x),

where n is the number of parts inspected, p is the probability of correct classification (0.98), C(n, x) is the binomial coefficient, and x takes on values from 0 to n.

The binomial coefficient C(n, x) represents the number of ways to choose x successes from n trials and is calculated as C(n, x) = n! / (x! * (n-x)!), where "!" denotes the factorial function.

By plugging in the given values, we can calculate the PMF for each possible value of x. For example, if three parts are inspected (n = 3), the PMF of x can be calculated for x = 0, 1, 2, and 3 using the formula above.

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Answer:

wdym 60 inches measures length (?????)

Answer:

Area = Side2

Step-by-step explanation:

Answer:  the value of f′′′(4) is 3/256.

Step-by-step explanation:

Given the third-degree Taylor polynomial:

f(x) = (x−4)³/512 − (x−4)²/64 + (x−4)⁴/2

To find the value of f′′′(4), we need to differentiate the polynomial three times and evaluate it at x = 4.

First derivative:

f'(x) = 3(x−4)²/512 − 2(x−4)/64 + 4(x−4)³/2

Second derivative:

f''(x) = 6(x−4)/512 − 2/64 + 12(x−4)²/2

Third derivative:

f'''(x) = 6/512 + 24(x−4)/2

Now, substitute x = 4 into f'''(x):

f'''(4) = 6/512 + 24(4−4)/2

= 6/512 + 0

= 6/512

= 3/256

Therefore, the value of f′′′(4) is 3/256.

Answer:

A. -11x + 7y

Step-by-step explanation:

4y - 9x + 3y - 2x

4y + 3y = 7y

-9x - 2x = -11x

-11x + 7y

I hope this helps!

For the given case, both the statements are correct that is a = b and solution of equation 1 and equation 2 is same.

According to the question,

We have the following information:

Number of oranges = 8

Number of mangoes = Twice the number of apples

Total number of fruits = 17

Case 1:

Let's assume the number of mangoes to be x.

Number of apples = x/2

Equation for total number of fruits:

x+x/2+8 = 17

Subtracting 8 from both the sides:

x+x/2 = 17-8

x+x/2 = 9

3x/2 = 9

3x = 18

x = 18/3

x = 6

Total number of mangoes calculated = 6

a = 6

Case 2:

Let's assume the number of apples to be x.

Number of mangoes = 2x

Equation for total number of fruits:

x+2x+8 = 17

3x+8 = 17

3x = 17-8

3x = 9

x = 9/3

x = 3

Number of mangoes = 2*3

Number of mangoes = 6

b = 6

Now, a = b and the solution of equations in both the cases is the same.

Hence, the correct option is C.

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Answer:

y = 250-25x

Step-by-step explanation: