(-4,-11) coordinates over the x axis

Answer:

7

Step-by-step explanation:

Replace p with 6.

42 divided by 6 = 7

A. The probability of selecting a defective component on the first attempt is 0.3 or 30%.

B. The probability of selecting a defective component on the second attempt, given that the first component selected was defective, is approximately 0.299 or 29.9%.

C. The probability of selecting two defective components is approximately 0.09 or 9%.

D.  The probability of selecting a non-defective component on the first attempt and a defective component on the second attempt is approximately 0.21 or 21%.

E. The probability of selecting a defective component on the second attempt is approximately 0.329 or 32.9%.

F. The probability of the first component selected being defective, given that the second component selected was defective, is approximately 0.273 or 27.3%.

G. It is not reasonable to treat A and B as though they were independent

a) The probability of drawing a defective component on the first attempt can be calculated as follows:

P(A) = (number of defective components in the lot) / (total number of components in the lot)

P(A) = 300/1000

P(A) = 0.3

Therefore, the probability of selecting a defective component on the first attempt is 0.3 or 30%.

b) The probability of selecting a defective component on the second attempt, given that the first component selected was defective, can be calculated as follows:

P(B|A) = (number of defective components remaining in the lot) / (total number of components remaining in the lot after selecting a defective component on the first attempt)

P(B|A) = 299/999

P(B|A) ≈ 0.299

Therefore, the probability of selecting a defective component on the second attempt, given that the first component selected was defective, is approximately 0.299 or 29.9%.

c) The probability of selecting two defective components can be calculated as follows:

P(A^B) = P(A) * P(B|A)

P(A^B) = 0.3 * 0.299

P(A^B) ≈ 0.09

Therefore, the probability of selecting two defective components is approximately 0.09 or 9%.

d) The probability of selecting a non-defective component on the first attempt and a defective component on the second attempt can be calculated as follows:

P(AC^B) = P(AC) * P(B|AC)

P(AC^B) = (number of non-defective components in the lot / total number of components in the lot) * (number of defective components remaining in the lot after selecting a non-defective component on the first attempt / total number of components remaining in the lot after selecting a non-defective component on the first attempt)

P(AC^B) = (700/1000) * (300/999)

P(AC^B) ≈ 0.21

Therefore, the probability of selecting a non-defective component on the first attempt and a defective component on the second attempt is approximately 0.21 or 21%.

e) The probability of selecting a defective component on the second attempt can be calculated as follows:

P(B) = P(A)*P(B|A) + P(AC)*P(B|AC)

P(B) = 0.3 * 0.299 + 0.7 * 300/999

P(B) ≈ 0.329

Therefore, the probability of selecting a defective component on the second attempt is approximately 0.329 or 32.9%.

f) The probability of the first component selected being defective, given that the second component selected was defective, can be calculated as follows:

P(A|B) = P(A^B) / P(B)

P(A|B) = (0.3 * 0.299) / 0.329

P(A|B) ≈ 0.273

Therefore, the probability of the first component selected being defective, given that the second component selected was defective, is approximately 0.273 or 27.3%.

g) To determine if events A and B are independent, we need to check if the occurrence of one event affects the probability of the other event occurring.

If events A and B are independent, then P(B|A) = P(B). We found that P(B|A) ≈ 0.299 and P(B) ≈ 0.329, which are not equal. Therefore, events A and B are not independent.

It is not reasonable to treat

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Answer:

600,000 km²

Step-by-step explanation:

Using the exponential regression calculator : the regression fit obtained for the data is :

36510 * (1.08^x)

After 40 years ;

x = 40

Hence,

y = 36510 * 1.08^40

y = 36510 * 21.72452

y = 793,162.27 km

Hence, y is closest to 800,000 km

Answer:

15

Step-by-step explanation:

74.75 divided by 5 is 14.95 so when you add to the nearest whole number it will be 15.

280t + 320t = 1,000 is distance equation can be used to solve for t, the time it takes the planes to be 1,000 miles apart.

What does distance mean in a nutshell?

Distance is the overall movement of an object without consideration of direction.

                      Regardless of an object's starting or ending point, distance can be defined as the amount of ground it has traveled.

At 10:00 a.m. two planes leave an airport. If the northbound plane flies at 280 mph and the southbound at 320 mph

Let 't' be the time taken when they are 1000 miles apart

the northbound plane flies at 280 mph

Distance  = speed * time

distance covered by northbound plane D1= 280 * t= 280t

the southbound at 320 mph

distance covered by southbound plane D2=320 t

Distance is 1000 miles apart

D1 + D2= 1000

280t + 320t = 1,000

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The first six digits of the mathematical sign PI are 3.14159.

Pi is a mathematical constant that is commonly used in geometry and trigonometry. The number is defined as the ratio of a circle's circumference to its diameter, and it is approximately 3.14159.

The value of PI has been computed to millions of decimal places, but the first six digits, which are 3.14159, are the most often used in computations.

The first six digits of the mathematical sign PI are 3.14159. These digits are frequently used to calculate the value of a circle's circumference or area. Pi is irrational, which means it can't be expressed as a fraction of two integers, and it goes on indefinitely without repeating.

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The Volume of the Pyramid=19.19in³

Surface Area of  the Pyramid=48.65in²

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers. Calculating the volume of numerous common three-dimensional forms is made simple by arithmetic formulas. The volumes of increasingly complicated shapes can be calculated using integral calculus.

Given that,

Height of the pyramid =4.7

Pyramid's slant height= 5.2

Base of pyramid is a square with side=3.5

Volume of the pyramid=(1/3)(3.5×3.5)×(4.7)

=19.19 in³

The surface area of a pyramid=((1/2)×(4×3.5)×5.2)+(3.5×3.5)

=18.65in²

Therefore, the volume of the pyramid=19.19 in³

And the surface area of the pyramid=18.65in²

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The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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The Regular Price is ( Original Price - $73.5).

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Gwen buys 3 identical pairs of shoes at Store.

She save $73.50 after the discount.

So, On each pair she saves= 73.5 /3

                                           = $24.5

To find the Regular Price

= Original Price - $73.5

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The volume of the solid bounded by the cylinder z = 25 – y² and the plane x = 2 in the first octant is 128π/3 cubic units.

To find the volume, we need to set up a double integral over the region of integration in the xy-plane. The region is the part of the xy-plane that lies inside the cylinder x² + y² = 4 and above the x-axis. This region can be described by 0 ≤ x ≤ 2 and 0 ≤ y ≤ √(4 - x²).

The integral to find the volume is given by V = ∬R (25 - y²) dA, where R is the region of integration in the xy-plane. This can be rewritten as V = ∫0² ∫0√(4-x²) (25 - y²) dy dx.

Evaluating this integral gives V = 128π/3 cubic units. Therefore, the volume of the solid is 128π/3 cubic units.

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Answer:

A

Step-by-step explanation:

The centroid is the center of mass of an object or shape. To find the x- and y-coordinates of the centroid of the shaded area,So, (xˉ, yˉ) = (Px / A, Py / A).

we need to use the formula:

xˉ = (sum of the products of each x-coordinate and its corresponding area) / (sum of the areas)
yˉ = (sum of the products of each y-coordinate and its corresponding area) / (sum of the areas)

First, we need to determine the area of the shaded region. Let's call this A.

Next, we need to find the x- and y-coordinates of each point within the shaded area. Let's call these coordinates (x1, y1), (x2, y2), ..., (xn, yn).

Then, calculate the sum of the products of each x-coordinate and its corresponding area. This can be done by multiplying each x-coordinate by its corresponding area and summing the results. Let's call this sum Px.

Similarly, calculate the sum of the products of each y-coordinate and its corresponding area. This can be done by multiplying each y-coordinate by its corresponding area and summing the results. Let's call this sum Py.

Finally, divide Px by the total area A to find xˉ, the x-coordinate of the centroid. Similarly, divide Py by A to find yˉ, the y-coordinate of the centroid.

So, (xˉ, yˉ) = (Px / A, Py / A).

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The centroid of a plane figure is calculated using specific formula taking into account the area and centroidal coordinates of each sub-figure. Substitute given x and y values to determine the centroid coordinates (xˉ,yˉ​) of the shaded area.

To determine the x - and y-coordinates of the centroid of the shaded area, you need to make use of centroid formulas for plane figures. The centroid, generally represented as (xˉ,yˉ​), is considered to be the geometric center of a plane figure and is the arithmetic mean position of all the points in a figure.

The formula for the x-coordinate of the centroid is xˉ = ∑[Ai * xi] / ∑Ai, where Ai is the area of each sub-figure and xi is the x-coordinate of the centroid of each sub-figure. Similarly, the formula for the y-coordinate of the centroid is yˉ = ∑[Ai * yi] / ∑Ai, where yi is the y-coordinate of the centroid of each sub-figure.

As per the information given, substitute the respective x and y values into the formulas to calculate (xˉ,yˉ​). Without the complete figure or more specific details to work with, this is the basic method of how to approach the problem.

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Answer:

Step-by-step explanation:

The diagonals in squares always equal 90 degrees, so thats your answer for AEB: 90

For EDC:

We know that DEC is 90, and angle measures in a triangle must add to 180.

Angle D and C are congruent, so they are both 45 degrees.

EDC: 45

By considering ages and equations we have,

Uncle Rob will be 62 years old when Dave is 32.

Dave is listed as being 15 years old, while his uncle Rob is listed as being three times Dave's age. Rob's age as of right now may be calculated using the formula below:

Age of Rob is Dave times three.

Using Dave's age as a plug-in, we obtain following equations,

Rob's age is equal to 15 + 3 = 45.

Rob is currently 45 years old, according to this.

We need to know how many years it will be before Dave turns 32 in order to calculate Rob's age at that time. By deducting Dave's present age from his anticipated age, we may determine this:

Years from now = Dave's age in the future minus Dave's age currently

By entering the specified values, we obtain:

The number of years from now is equal to 32 - 15 = 17 years.

Dave will turn 32 in 17 years, according to this.

We may multiply Rob's current age by the number of years from now to determine his age at that point:

When Dave reaches the age of 32, Rob will be that age plus the number of years.

When we enter the calculated values, we obtain:

When Dave is 32 years old, Rob will be 45 + 17 years old, or 62 years old.

  So, Dave uncle rob 's age will be 62 years old.

As a result, when Dave's age is 32, his uncle Rob's age will be 62.

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Answer:

that does not make sense ?????????????????????????????????????????

Answer:

7.171428571

Step-by-step explanation:

<3

Answer:

25

Step-by-step explanation:

Please refer to the picture;

Answer:

The estimated answer would be 9

Step-by-step explanation:

The answer I received in the calculator was 8.94422. Since the tenths, place value(9) is closer to 9.0 than 8.0, we round up. I hope this helps you.

9514 1404 393

Answer:

Step-by-step explanation:

The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.

Here are the segment slopes (rise/run).

  AB = -3/1 = -3

  BC = 2/3

  AC = -1/4

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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Answer:

A), C), E)

Step-by-step explanation:

The probability of the flight being overbooked is 0.38742 or 38.7%.

To calculate the probability of the flight being overbooked, we need to use a probability formula. In this case, we can use the binomial probability formula. The formula is as follows:

\(P(x) = ^nC_x * p^x * q^{(n-x)}\)

Where:

P(x) is the probability of x number of events occurring.

n is the total number of trials.

p is the probability of success.

q is the probability of failure.

nCx is the number of ways to choose x items from a set of n items.

Let's say a plane has 8 seats. The airline sells 10 tickets for this flight. The probability of all ten passengers showing up for the flight is quite low. Based on past experience, the airline knows that only 90% of ticketed passengers usually show up for a flight. This percentage is also known as the "show-up rate."

In our case:

n = 10 (total number of passengers)

p = 0.9 (probability of a passenger showing up)

q = 0.1 (probability of a passenger not showing up)

We want to find the probability of having more than 8 passengers show up, which would mean the flight is overbooked. To do that, we need to calculate the probability of having 9 or 10 passengers show up. We can use the formula to calculate this:

P(9 or 10) = P(9) + P(10)

P(9 or 10) = ¹⁰C₉ x 0.9⁹ x 0.1¹ + ¹⁰C₁₀ x 0.9¹⁰ x 0.1⁰

P(9 or 10) = 0.38742 or 38.7%

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Complete Question:

Airlines usually overbook for a flight (sell more tickets than the numbers of available seats). They do this because they know from past experience that only 90% of ticketed passengers actually show up for the flight.

A plane has 8 seats. If the airline sells 10 tickets for this flight, what is the probability that the flight will be overbooked?

Answer:

Step-by-step explanation:

It's 28.40ft by the way.

Answer:

The answer is 28.80

To find the one-sided limit of the function f(x) = (x-9)² as x approaches 9 from the left (x → 9-), we need to evaluate the expression (-9)². The result of this calculation is 81, indicating that the one-sided limit of f(x) as x approaches 9 from the left is 81.

The expression (-9)² simplifies to 81. This means that as x approaches 9 from the left (x → 9-), the function f(x) = (x-9)² approaches the value 81. Therefore, the one-sided limit of f(x) as x approaches 9 from the left is 81.

It's important to note that this result is specific to the left-hand side limit.

To find the two-sided limit (if it exists), we would need to evaluate the limit as x approaches 9 from both the left and the right and ensure that the values match.

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