Determine whether the points are collinear. If so, find the line y = c0 + c1x that fits the points. (If the points are not collinear, enter NOT COLLINEAR.) (0, 2), (1, 5), (2, 8)

Answer:

Ask your mom and she might tell you

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

a. The probability that the network crashes on both Monday and Tuesday is 0.1024; b. The probability that the network crashes for the first time on Thursday is 0.1389 ; c. The probability that the network crashes every day is 0.0001; d. The probability that the network crashes on at least one day is 0.3222.

We can approach this problem using the binomial distribution. Let X be the number of days in a week that the network crashes. Then X follows a binomial distribution with parameters n = 5 (number of days in a workweek) and p = 0.16 (probability of a crash on any given day).

a. The probability that the network crashes on both Monday and Tuesday is:

P(X = 2) = (5 choose 2) * (0.16)² * (1-0.16)³

= 0.1024

b. The probability that the network crashes for the first time on Thursday is the probability that it does not crash on Monday, Tuesday, or Wednesday, but does crash on Thursday and/or Friday. So:

P(X = 1) * P(no crashes on Monday, Tuesday, Wednesday) = (5 choose 1) * (0.16) * (1-0.16)⁴ * (0.84)³

= 0.3808 * 0.3652

= 0.1389

c. The probability that the network crashes every day is:

P(X = 5) = (5 choose 5) * (0.16)⁵ * (1-0.16)⁰

= 0.0001

d. The probability that the network crashes on at least one day is the complement of the probability that it does not crash at all during the week:

P(X >= 1) = 1 - P(X = 0)

= 1 - (5 choose 0) * (0.16)⁰ * (1-0.16)⁵

= 1 - 0.6778

= 0.3222

Therefore, a. The probability that the network crashes on both Monday and Tuesday is 0.1024; b. The probability that the network crashes for the first time on Thursday is 0.1389 ; c. The probability that the network crashes every day is 0.0001; d. The probability that the network crashes on at least one day is 0.3222.

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Answer:

The propagated error in the volume of the spheres is approximately 0.628 cm^3.

Step-by-step explanation:

To calculate the propagated error in the volume of the spheres, we need to consider the accuracy of the manufacturing process. In this case, the process is accurate to 1 mm (0.1 cm) for the diameter of the spheres.

The formula for the volume of a sphere is V = (4/3) * π * r^3, where r is the radius. Since the diameter of the spheres is given as 10 cm, the radius is half of the diameter, which is 5 cm.

To calculate the propagated error, we first need to find the change in volume due to the manufacturing accuracy. The change in radius can be calculated as 0.1 cm. Substituting this change in radius into the formula, we can calculate the change in volume:

ΔV = (4/3) * π * (r + Δr)^3 - (4/3) * π * r^3

Simplifying and substituting the values, we have:

ΔV = (4/3) * π * (5 + 0.1)^3 - (4/3) * π * 5^3

Calculating this expression yields approximately 0.628 cm^3 as the propagated error in the volume of the spheres.

This means that due to the manufacturing process accuracy of 1 mm, each sphere's volume can deviate by approximately 0.628 cm^3 from the ideal volume calculated using the given diameter.

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Answer:

Step-by-step explanation:

Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.

Your

Answer:

Yes its correct the unhighlighted is complement

The magnitude of the centripetal force acting on the ball just prior to the moment of release in the hammer throw event is Fc = (0.730116kg *\(v^{2}\))/m.

To find the magnitude of the centripetal force acting on the ball just prior to the moment of release in the hammer throw event, we can use the principles of circular motion.

The centripetal force required to keep an object moving in a circle is given by the equation Fc = m\(v^2\)/r, where Fc is the centripetal force, m is the mass of the ball, v is the velocity of the ball, and r is the radius of the circle.

In this case, the mass of the ball is given as 7.30 kg, and the radius of the circle is 2.88 m. We need to find the velocity of the ball just prior to the release.

We are given that the ball moves upward on a curved path, which means it has both vertical and horizontal components of velocity. The velocity at the instant of release is directed 36.1 degrees above the horizontal.

To find the horizontal component of velocity, we can use the trigonometric relationship between the angle and the velocity components.

The horizontal component of velocity is given by vh = v * cosθ, where vh is the horizontal velocity and θ is the angle.

Using the given angle of 36.1 degrees, we can calculate the horizontal component of velocity: vh = v * cos(36.1) = v * 0.7986.

Since we don't have the value of v, we need to find it using the world record distance of 86.75 m. The horizontal distance traveled by the ball is equal to the circumference of the circle it moves in. Thus, 2πr = 86.75 m, which gives us r = 13.799 m.

Now, we can find the value of v by dividing the horizontal distance by the time it takes to travel that distance. Let's assume that the ball takes t seconds to complete one revolution.

Therefore, the time it takes to travel the world record distance is t = 86.75 m / (2πr) = 86.75 m / (2π * 13.799 m).

Now, we can calculate the horizontal component of velocity: vh = (86.75 m / t) * 0.7986.

With the horizontal component of velocity known, we can calculate the magnitude of the centripetal force using the formula Fc = m\(v^2\)/r. The magnitude of the centripetal force is Fc = m * (v\(h^2\) + v\(v^2\)) / r, where vv is the vertical component of velocity.

Since the ball is released at ground level, the vertical component of velocity just prior to release is zero. Thus, vv = 0.

Substituting the known values into the formula, we have Fc = 7.30 kg * (v\(h^2\) + 0) / 2.88 m.
Fc = (0.730116kg * \(v^2\)) / m.

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Answer:

\( \sqrt{ - 17 } \\ 20\% \\ 1 \times \frac{1}{2} \\ \sqrt{17} \\ 8\)

The smaller ball among 8 identical balls,  use a technique called binary search. This approach involves dividing the balls into groups, comparing the weights of the groups, and iteratively narrowing down the search until the smaller ball is identified.

To begin, we can divide the 8 balls into two equal groups of 4. We then compare the weights of these two groups using a balance scale. If the scale tips to one side, we know that the group with the lighter ball contains the smaller ball. If the scale remains balanced, the smaller ball must be in the group that was not weighed.

Next, we take the group with the smaller ball and repeat the process, dividing it into two groups of 2 and comparing their weights. Again, we use the balance scale to determine the lighter group.

Finally, we are left with two balls. We can directly compare their weights to identify the smaller ball.

By using binary search, we efficiently reduce the number of possibilities in each step, allowing us to find the smaller ball in just three weighings. This approach minimizes the number of comparisons needed and is a systematic and efficient method for finding the lighter ball among a set of identical balls.

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Answer:

$5,102.05

Step-by-step explanation:

Present value of the car = $21,500

Present percentage value = 100% = 1

Percentage of Depreciation per year = 25% = 0.25

Years of depreciation = 5 years

The value of the car after 5 years = Present value of the car (Present percentage value - Percentage of Depreciation per year)^Years of depreciation

= 21,500(1 - 0.25)^5

= 21,500(0.75)^5

= 21,500(0.2373046875)

= 5,102.05078125

Approximately,

The value of the car after 5 years = $5,102.05

Answer:

A.) 8     B.) -147

Step-by-step explanation:

A.) Divide 32 by 4. 32/4 = 8
B.) Multiply -49 by 3. -49 x 3 = -147

The equation of the line that passes through the point (3,5) and has a slope of -1/3 will be x + 3y = 18.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's suppose our linear equation is y = mx + c

Where m is the slope while c is the y-intercept.

Now,

m = -1/3

y = (-1/3)x + c

Putting (3,5)

5 = -3/3 + c ⇒ c = 6

Therefore,

y = -x/3 + 6

3y = -x + 18

x + 3y = 18

Hence "The equation of the line that passes through the point (3,5) and has a slope of -1/3 will be x + 3y = 18".

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Answer:

bom é a soma dos algarismos se for matemática

Water is dripping into a jar at a constant rate. Starting with 100 milliliters of water 2 hours ago and currently having 160 milliliters,it will take  5 hours for the jar to contain 250 milliliters.

To find the time it takes for the water level in the jar to reach 250 milliliters, we can set up a proportion based on the rate of water dripping into the jar.
The change in water level over time is constant, so we can calculate the rate of change by dividing the difference in water level by the time elapsed.
From 2 hours ago to now, the water level has increased by 160 - 100 = 60 milliliters.
Therefore, the rate of change is 60 milliliters / 2 hours = 30 milliliters per hour.
To find the time required for the water level to reach 250 milliliters, we can set up the proportion:
30 milliliters / 1 hour = (250 milliliters - 100 milliliters) / x hours,
where x represents the unknown number of hours.
Cross-multiplying and solving for x, we get:
30x = 150
x = 150 / 30
x = 5 hours.
Hence, it will take 5 hours from now for the water level in the jar to reach 250 milliliters.

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The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

The ocean freight charges for the given shipment in Canadian dollars would be approximately 603.25 CAD.

To calculate the ocean freight charges in Canadian dollars for the given shipment, we need to follow these steps:

Step 1: Calculate the volume and weight of each cargo item:

For the skids of Apple:

Volume = 100 cm x 100 cm x 150 cm

= 1,500,000 cm³

= 1.5 m³

Weight = 400 kg each x 2

= 800 kg

For the boxes of Orange:

Volume = 35" x 25" x 30"

= 26,250 cubic inches

= 0.4292 m³

Weight = 100 kg each x 3

= 300 kg

Step 2: Calculate the total volume and weight of the shipment:

Total Volume = Volume of Apples + Volume of Oranges

= 1.5 m³ + 0.4292 m³

= 1.9292 m³

Total Weight = Weight of Apples + Weight of Oranges

= 800 kg + 300 kg

= 1,100 kg

Step 3: Convert the ocean freight rate to Canadian dollars:

Ocean freight rate to Mumbai = $250 USD / m³

Conversion rate: 1 USD = 1.25 CAD (Canadian dollars)

Freight rate in CAD = $250 USD/m³ x 1.25 CAD/USD

= 312.5 CAD/m³

Step 4: Calculate the freight charges for the shipment:

Freight charges = Total Volume x Freight rate in CAD

Freight charges = 1.9292 m³ x 312.5 CAD/m³

= 603.25 CAD

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The verbs that end in -ate in the infinitive form are: meditate, penetrate, and legislate.

The verb "meditate" means to engage in contemplation or reflection. It is an action of focusing one's mind and achieving a state of deep thought or relaxation. For example, in the past tense, "meditated" would be used: "He meditated for hours to clear his mind."

The verb "penetrate" means to enter or pass through something, often with force or intensity. It can also refer to understanding or grasping the meaning of something. In the past tense, "penetrated" would be used: "The bullet penetrated the target with precision." The verb "legislate" means to make or enact laws or regulations. It involves the process of creating and implementing laws in a legislative body. In the past tense, "legislated" would be used: "The government legislated new policies to address the issue."

It is worth noting that the words "stomach" and "often" mentioned in the question are not verbs, but rather a noun and an adverb, respectively. "Stomach" refers to the organ in the digestive system, and "often" indicates frequency or regularity.

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Answer:

20000

Step-by-step explanation:

13000/.65=20000

The present value is $1, the growth rate is 12.0% (or 0.12 as a decimal), and the number of years is 75. So, the future value is approximately $4,913.06. The correct answer is \(\( \$ 4,913.06 \).\)

To calculate the future value of an amount growing at a given rate over a certain period of time, we can use the formula for compound interest:

Future Value = Present Value * (1 + Growth Rate)^Number of Years

In this case, the present value is $1, the growth rate is 12.0% (or 0.12 as a decimal), and the number of years is 75. Plugging in these values, we can calculate the future value:

\(Future Value = $1 * (1 + 0.12)^75\)

Calculating this, the future value is approximately $4,913.06.

Therefore, the correct answer is \(\( \$ 4,913.06 \).\)

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Answer:

The answer is 6.5

Step-by-step explanation:

All you have to do is divide 13 by 2.

Answer: Yes, No, No, No, No

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

there are 3 people and 1 boat holds three people

The solutions of the system of equations gave us that x is equal 4/37 and y is equal to 26/37

In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system).  For a system to have a unique solution, the number of equations must equal the number of unknowns.

In the question, we have two equations in which we are asked to use substitution method to solve.

y = 2 - 12x

x - 3y = -2

Substitute equation 1 into equation 2

x - 3y = -2x - 3(2 - 12x) = -2

solve for x

x - 6 + 36x = -237x = -2 + 6x = 4/37

Put the value of x into either equation 1 or 2:

x - 3y = -2

4/37 - 3y = -2

-3y = -2 - 4/37

-3y = -2 4/37

Divide by 3

y = 26/37

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Answer:

3

Step-by-step explanation:

Answer:

a balance and a beaker of water

hope it helps mark as brainliest

Answer:

water and beaker, and other science tools

Step-by-step explanation:

The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer:

35.01 cm or 35cm

Step-by-step explanation:

\(\frac{volume}{\pi r^{2} } =height\)

\(\frac{5390}{\pi 7^{2} }\)=35.01cm

Answer:

\(q = 22\)

Step-by-step explanation:

The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).

\((<ABD) + (<DBC) = (AC)\)

Substitute for the angle measures,

\((7q-46)+(3q+6)=180\)

Simplify,

\(10q-40=180\)

Inverse operations,

\(10q-40=180\\\\10q = 220\\\\q = 22\)

Answer:

need pts

Step-by-step explanation:

Answer:

\( \frac{4}{4} > \frac{1}{4} \)

Step-by-step explanation:

1 is bigger than a quarter.

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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