43 milk jugs are in a fridge with 11 that are spoiled. 5 jugs are randomly selected. what are the odds that the first two are good and the last three are spoiled?​

Answer:

Given that JK = MN, JK = KL, and LM = MN, therefore, by transitive property, we have;

KL ≅ LM

Step-by-step explanation:

The given information are;

The midpoint of the segment JL = The point K

The midpoint of the segment LN = The point M

Given that JK = MN

The two column proof is given as follows;

Statement \({}\)               Reason

1) JK = KL  \({}\)               Definition of the midpoint of segment JL

2) LM = MN  \({}\)            Definition of the midpoint of a segment LN

3) JK = MN   \({}\)            Given

4) KL ≅ LM   \({}\)            Transitive property.

Answer:

7) 760

8) 34

Step-by-step explanation:

7)  95x8=760

8)  (103-35)/2=34

The scientific value for n that will make the equation (4.8 × 10^(-3))(n) = 9.6 × 10^9 true is given by: Option D: 2.0 × 10^(12)

The number is written in the form  \(a \times 10^b\)  where we have \(1 \leq a < 10\)

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Finding the value of n from the given equation:

\((4.5 \times 10^{-3}) \times n = 9.6 \times 10^9\\\\\text{Dividing both the sides by } (4.5 \times 10^{-3}) \\\\n = \dfrac{9.6 \times 10^9}{4.5 \times 10^{-3}} = \dfrac{9.6}{4.5} \times \dfrac{10^{9}}{10^{-3}}\\\\n \approx 2.1333 \times 10^{9-(-3)} = 2.1333 \times 10^{12} \approx 2.0 \times 10^{12}\)

Thus, the scientific value for n that will make the equation (4.8 × 10–3)(n) = 9.6 × 10^9 true is given by: Option D: \(2.0 \times 10^{12}\)

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Answer: D

Step-by-step explanation:

Answer:

y < -3x + 2

Step-by-step explanation:

The shading is below the line meaning the inequality is less than. Moreover, the line is dashed meaning there is no 'equal to'.

Therefore, the inequality is y < -3x + 2.

The probability that exactly one of the computers will be defective is 0.141

To calculate the probability of exactly one defective computer being selected out of four computers, we can use the binomial distribution formula

P(X = k) = (n choose k) × p^k × (1 - p)^(n - k)

where P(X = k) is the probability of exactly k successes (in this case, one defective computer), n is the total number of trials (in this case, four computers being selected), p is the probability of success (in this case, the probability of selecting a defective computer), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items out of n.

The probability of selecting a defective computer is 4/15, since there are 4 defective computers out of 15 in total. Therefore, the probability of selecting exactly one defective computer out of four is:

P(X = 1) = (4 choose 1) × (4/15)^1 × (11/15)^3

= 4 × 4/15 × 1331/3375

= 0.141

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The given question is incomplete, the complete question is:

A computer retail store has 15 personal computers in stock. A buyer wants to purchase 4 of them. Unknown to either the retail store or the buyer, 4 of the computers in stock have defective hard drives. Assume that the computers are selected at random. What is the probability that exactly one of the computers will be defective?

If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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Answer: f(x) = 90,200 (1-.002)^7

Step-by-step explanation:

f(x) = a (1 - r)^t

f(x) = 90,200 (1-.02)^7

The equation f(7) = 90,200 (1 - 0.02)⁷  represents the town’s population after 7 years.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

A town has a population of 90,200 and shrinks at a rate of 2% every year.

As we know the exponential equation for the population as

f(n) = a (1 - r)ⁿ

Where a is the initial population

r is rate

n is years

As per the question, we have

a = 90,200, r = 2/100 = 0.02, and t = 7 years

Substitute the known values in the above equation, and we get

f(7) = 90,200 (1 - 0.02)⁷

This equation represents the town’s population after 7 years.

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Answer:

4

Step-by-step explanation:

The independent variable is the variable used to explain the dependent variable.

The researcher wants to know how the seasons (independent variable) affects ice cream sales (dependent variable).

The researcher would regress ice cream sales against each season. There are four seasons, so the independent variable would be four

The answer:

The answer is 3000

Explanation here:

Answer:

\(\bold{y=6x-1}\)

Step-by-step explanation:

Hi there!

Since we are given the slope and the y-intercept of the line, we can very easily identify the equation of the line.

Slope-intercept:

y=mx+b

Plug in the values:

\(\bold{y=6x-1}\)

Thus, \(\bold{y=6x-1}\) is the equation of the line.

Hope it helps! Enjoy your day!

~Just a teen willing to help others :)

\(\bold{GazingAtTheStars}\)

Answer:

y=6x-1

Step-by-step explanation:

\(m = 6 \\ y \: intercept \: - 1 \\\)

(0,-1)

\(y - y1 = m(x - x1) \\ y - - 1 = 6(x - 0) \\ y + 1 = 6x \\ y = 6x - 1\)

Answer:

I would say translation

Answer:

translation

Step-by-step explanation:

translation is move the shape to other place with same shape and same size

reflection is reflect the shape ，it will not be same direction

Answer:

11

Step-by-step explanation:

All angles on a triangle equal 180. 80+60=140.

Now to solve for x, we set it to equal 40 for 180-140.

40=3x+7. 40-7=33

33=3x 33/3=11

x=11

Eliminate x by adding the two equations, yielding \(y = 6\). Then, substitute y into either equation to solve for x, obtaining \(x = -3\). The solution is \((-3,6)\).

An equation is a mathematical statement that uses symbols, numbers, and variables to show that two expressions are equal, typically with an equal sign between them.

A variable is a quantity or symbol that can take on different values in a mathematical expression, equation, or formula, typically represented by a letter.

To eliminate a variable in a system of equations, we want to find a way to add or subtract the two equations so that one of the variables is eliminated.

In this case, we can eliminate the variable x by adding the two equations

\(x- 7y = -45\)

\((-x +8y = 51)\)

\(y = 6\)

Now that we have found the value of y, we can substitute it into either of the original equations to solve for x. Let's use the first equation

\(x-7y = -45\\x- 7(6) = -45\\x = -45+42\\x = -3\)

Therefore the solution to the system of equations is \(x= -3\) and\(y= 6\)

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the solution to the system of equations is (x, y) = (-3, 6).

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

To eliminate the variable x, we can add the two equations together. This will result in the x variable being eliminated, leaving us with an equation in terms of y:

(x - 7y) + (-x + 8y) = -45 + 51

Simplifying and solving for y, we get:

y = 6

Now that we know the value of y, we can substitute it into one of the original equations to solve for x. Using the first equation:

x - 7(6) = -45

Simplifying and solving for x, we get:

x = -3

Therefore, the solution to the system of equations is (x, y) = (-3, 6).

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A geometric sequence is an exponential function. Instead of y=ax, we write an=crn where r is the common ratio and c is a constant (not the first term of the sequence, however). A recursive definition, since each term is found by multiplying the previous term by the common ratio, ak+1=ak * r.

Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem.

There are many shapes in geometry based on their dimensions. Circle, Triangle, Square, Rectangle, Kite, Trapezium, Parallelogram, Rhombus and different types of polygons are the 2-d shapes. Cube, Cuboid, Sphere, Cone and Cylinder are the basic three-dimensional shapes.

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Answer:

x=5

Step-by-step explanation:

2 - x = x - 8

- x = x - 8 - 2 (subtract 2 from both sides)

- x = x - 10 (combine like terms)

- 2x = - 10 (subtract x from both sides)

x = 5 (divide each side by -2).

Answer:

x = 5

Step-by-step explanation:

2 - x = x - 8

- x + 2 = x - 8

- x + 2 - 2 = x - 8 - 2

- x = x - 10

- x - x = x - x - 10

- 2x = - 10

- 2x ÷ - 2 = - 10 ÷ - 2

x = 5

Wyatt's walking pace is 1 meter per second,

Hence the speed of the tip of his shadow is also one meter per second.

According to the given data,

we can calculate the speed of the tip of Wyatt's shadow by using similar triangles.

Now create a triangle with the light post,

the top of the shadow, and the tip of the shadow, and another triangle with Wyatt's height, the distance he is away from the light post, and the length of his shadow.

First, we need to calculate the length of Wyatt's shadow when he is walking towards the light post.

Use the Pythagorean theorem,

⇒ distance² + height² = (shadow length)²

⇒        distance² + 197 = (shadow length)²

⇒  distance² + 38809 = (shadow length)²

⇒      (shadow length) = √(distance + 38809)

When Wyatt is 3 meters away from the light post, his shadow length is,

⇒ shadow length = √(3 + 38809)

                             = 197.003 meters

Now, calculate the length of Wyatt's shadow when he is 1 meter closer to the light post,

⇒ shadow length = √(2 + 38809)

                              = 197.001 meters

The difference in shadow length is,

⇒ 197.003 - 197.001 = 0.002 meters

Wyatt is walking at 1 meter per second,

so the speed of the tip of his shadow is also 0.002 meters per second.

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Answer:

never

Step-by-step explanation:

sorry but never I'm just kidding get a girl friend and you will be good

Answer:

Oh mna. I hope you will be happy soon man.

Step-by-step explanation:

Answer to 2a: The mean of Asset A is 0.235  and the variance is 0.0123

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

2a. Mean of Asset A (Expected Value):

The mean of Asset A (E(A)) can be calculated as:

\(\[E(A) = \sum_{i} (x_i \cdot P_i)\]\)

where \(\(x_i\)\) represents the return on Asset A in each state and\(v \(P_i\)\) represents the probability of that state.

Using the given information, we have:

Boom:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Average:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Bust:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Therefore, the mean of Asset A is\(\(E(A) = 0.235\).\)

2b. Correlation Coefficient of A and C:

The correlation coefficient\((\(\rho\))\)between Asset A and C can be calculated using the formula:

\(\[\rho = \frac{{\text{{Cov}}(A, C)}}{{\sigma_A \cdot \sigma_C}}\]\)

where\(\(\text{{Cov}}(A, C)\)\) represents the covariance between Asset A and C, and \((\sigma_A\)\) and\(\(\sigma_C\)\)represent the standard deviations of Asset A and C, respectively.

Using the given information, we have:

Boom:

\(\(\text{{Cov}}(A, C) = (0.35 - 0.235) \cdot (0.10 - 0.25) = -0.017\)\)

Average:

\(\(\text{{Cov}}(A, C) = (0.20 - 0.235) \cdot (0.15 - 0.25) = -0.005\)\)

Bust:

\(\(\text{{Cov}}(A, C) = (0.05 - 0.235) \cdot (0.35 - 0.25) = -0.017\)\)

Now, we calculate the standard deviations of Assets A and C:

\(\(\sigma_A = \sqrt{{\text{{Var}}(A)}} = \sqrt{0.0123} \approx 0.1108\)\)

\(\(\sigma_C = \sqrt{{\text{{Var}}(C)}} = \sqrt{0.0517} \approx 0.2274\)\)

Finally, we can calculate the correlation coefficient:

Boom:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Average:

\(\(\rho = \frac{{-0.005}}{{0.1108 \cdot 0.2274}} \approx -0.187\)\)

Bust:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Therefore, the correlation coefficient between Asset A and C is approximately\(\(\rho \approx -0.670\) (Boom), \(\rho \approx -0.187\) (Average), and \(\rho \approx -0.670\) (Bust).\)

Answer to 2a: \(The mean of Asset A is \(0.235\) and the variance is \(0.0123\.\)

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

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Answer:

552 miles per hour

Step-by-step explanation:

Speed = distance / time

So, speed = 414 / (3/4)

                 = 552 miles per hour

P.S. I couldn't answer the other questions cuz your photo is unclear

Answer:

552 miles per hour

Step-by-step explanation:

Speed = distance / time

So, speed = 414 / (3/4)

                = 552 miles per hour

Answer: - 1

Step-by-step explanation:

(end after moveing back 4)      (start at 3)

                                 |<<<<<<<<<<<< |

--(-5)--(-4)--(-3)--(-2)--(-1)--(0)--(1)--(2)--(3)--(4)--(5)--

Answer:

14x - 4 + 13x + 2

= 14(6) - 4 + 13(6) + 2

= 160

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Solve x−4y=−7 for x...

\(x-4y=-7\\x=4y-7\)

Substitute 4y−7 for x in −x+2y=3...

\(-x+2y=3\\-(4y-7)+2y=3\\-4y+7+2y=3\\-2y+7=3\\-2y=-4\\y=2\)

Substitute 2 for y in x=4y−7...

\(x=4y-7\\x=4(2)-7\\x=8-7\\x=1\)

So the solution of these equations is (1,2).

The given problem is about finding the linear speed of a vehicle when each of its tire has a diameter of 32 inches and is moving at 800 revolutions per minute. In order to solve this problem, we will use the formula `linear speed = (pi) (diameter) (revolutions per minute) / (1 mile per minute)`.

Since the diameter of each tire is 32 inches, the radius of each tire can be calculated by dividing 32 by 2 which is equal to 16 inches. To convert the units of revolutions per minute and inches to miles and hours, we will use the following conversion factors: 1 mile = 63,360 inches and 1 hour = 60 minutes.

Now we can substitute the given values in the formula, which gives us:

linear speed = (pi) (32 inches) (800 revolutions per minute) / (1 mile per 63360 inches) x (60 minutes per hour)

Simplifying the above expression, we get:

linear speed = 107200 pi / 63360

After evaluating this expression, we get the linear speed of the vehicle as 5.36 miles per hour. Rounding this answer to the nearest tenth gives us the required linear speed of the vehicle which is 5.4 miles per hour.

Therefore, the linear speed of the vehicle is 5.4 miles per hour.

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The absolute maximum of the function on the given interval is at x = 7, and the value is f(7) = 4^(3/4).

To determine the location and value of the absolute extreme values of the function f(x) = (x-3)^3/4 on the interval [-7, 7], follow these steps:

1. Find the critical points by taking the derivative of the function and setting it to zero.
2. Evaluate the function at the critical points and the endpoints of the interval.
3. Compare the function values to determine the absolute maximum and minimum.

Step 1: Find the critical points.
f(x) = (x-3)^(3/4)
f'(x) = (3/4)(x-3)^(-1/4)

Set f'(x) = 0
(3/4)(x-3)^(-1/4) = 0

There is no solution for x, so there are no critical points.

Step 2: Evaluate the function at the endpoints of the interval.
f(-7) = (-7-3)^(3/4) = (-10)^(3/4) = 10^(3/4) * (-1)^(3/4)
f(7) = (7-3)^(3/4) = 4^(3/4)

Step 3: Compare the function values.
f(-7) = 10^(3/4) * (-1)^(3/4)
f(7) = 4^(3/4)

Since (-1)^(3/4) is a complex number and f(7) is a real number, the absolute maximum occurs at x = 7.

The absolute maximum of the function on the given interval is at x = 7, and the value is f(7) = 4^(3/4).

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The ordered pair (x, y) that is a solution to the equation -x + 5y = 9 is (1, 2).

To find the ordered pair (x, y) that is a solution to the equation -x + 5y = 9, we need to solve the equation for x and y simultaneously. Here's how we can do it:

-x + 5y = 9

Let's solve this equation for x:

x = 5y - 9

Now, we can choose any value for y and substitute it into the equation to find the corresponding value of x. Let's arbitrarily choose y = 2:

x = 5(2) - 9

x = 10 - 9

x = 1

Therefore, the ordered pair (x, y) that is a solution to the equation -x + 5y = 9 is (1, 2).

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