Which is a true statement?
1/2
3/4
5/6
7/8

<1 and <2 are congruent
<1 and <3 are congruent
<1 and <4 are congruent
<1 and 7 are congruent

The probability that it takes from 2 to 3 minutes to fill an order is approximately 0.2562 or 25.62%.

Given that the time it takes for orders to be filled is exponentially distributed with a mean of 1.5 minutes.

We know that the probability density function (PDF) of exponential distribution is given by:

f(x) = (1/β) * e^(-x/β)

where β is the mean of the distribution.

Therefore, in this case, the PDF is:

f(x) = (1/1.5) * e^(-x/1.5)

To find the probability that it takes from 2 to 3 minutes to fill an order, we need to calculate the area under the PDF curve between 2 and 3 minutes.

P(2 < x < 3) = ∫2^3 f(x) dx

= ∫2^3 (1/1.5) * e^(-x/1.5) dx

= [-e^(-x/1.5)]2^3

= e^(-2/1.5) - e^(-3/1.5)

= 0.2562

Therefore, the probability that it takes from 2 to 3 minutes to fill an order is approximately 0.2562 or 25.62%.

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The standard-form equation of the line using the coordinates of the labeled point is: B. 8x + 7y = 60.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

At data point (4, 4) and a slope of -8/7, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 4 = -8/7(x - 4)

By multiplying all through by 7, we have:

7(y - 4) = -8(x - 4)

7y - 28 = -8x + 32

7y + 8x = 32 + 28

8x + 7y = 60.

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Answer:

  C.  55°

Step-by-step explanation:

You want the measure of angle A = x+61 in the triangle where the other two angles are marked (x+51) and 80°.

The sum of angles in a triangle is 180°, so we have ...

  (x +61)° +(x +51°) +80° = 180°

  2x = -12 . . . . . . . . . . . . . . divide by ° and subtract 192

  x = -6 . . . . . . . . . . divide by 2

Using this value of x in the expression for angle A, we find that angle to be ...

  ∠A = x +61 = -6 +61 = 55 . . . . degrees

The measure of angle A is 55 degrees.

__

Additional comment

In the attached, we have formulated an expression for x that should have a value of 0: 2x+12 = 0. The solution is readily found to be x=-6, as above. We used that value to find the measures of all of the angles in the triangle. The other angle is 45°.

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The inverse of a biconditional statement is not equivalent to the original statement. The inverse statement may have a different meaning or convey a different condition.

The inverse of a biconditional statement involves negating both the "if" and the "only if" parts of the statement. In this case, the inverse of the biconditional statement would be:Inverse of Statement 1: A figure is not a polygon if and only if not all of its sides are line segments.

Now, let's analyze the relationship between Statement 2 and its inverse.

Statement 2: A figure is not a polygon if and only if not all of its sides are line segments.

Inverse of Statement 2: A figure is not a polygon if and only if all of its sides are line segments.

The inverse of Statement 2 is not equivalent to Statement 1. In fact, the inverse of Statement 2 is a different statement altogether. It states that a figure is not a polygon if and only if all of its sides are line segments. This means that if all of the sides of a figure are line segments, then it is not considered a polygon.

In contrast, Statement 1 states that a figure is a polygon if and only if all of its sides are line segments. It affirms the condition for a figure to be considered a polygon, stating that if all of its sides are line segments, then it is indeed a polygon.

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The measure of angle c is 70 degrees.

If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.

Given:

Measure of angle a = 10x + 10

Measure of angle b = 20

We can set up the equation:

(10x + 10) + 20 = 90

Simplifying the equation:

10x + 30 = 90

Subtracting 30 from both sides:

10x = 60

Dividing both sides by 10:

x = 6

Now, we have found the value of x to be 6.

To find the measure of angle c, we can substitute the value of x into the equation for angle a:

Measure of angle a = 10x + 10

Measure of angle a = 10(6) + 10

Measure of angle a = 60 + 10

Measure of angle a = 70

As a result, angle c has a measure of 70 degrees.

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Answer:

(x - 5)² + (y - 2)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

Here (h, k ) = (5, 2 ) and r = 3 , then

(x - 5)² + (y - 2)² = 3² , that is

(x - 5)² + (y - 2)² = 9

Answer:

Step-by-step explanation:

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:

dy/dx = cos(f(x^2)) * d/dx[f(x^2)]

To find d/dx[f(x^2)], we can use the chain rule again:

d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)

So, putting it all together:

dy/dx = cos(f(x^2)) * 2xf'(x^2)

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

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The formula to calculate the standard error of the mean is: Standard error of the mean = σ/√n a) σ=20, n=25
Standard error of the mean = 20/√25 = 4


The formula to calculate the standard error of the mean (SEM) is:
SEM = σ / √n

where σ is the population standard deviation and n is the sample size.

a) σ = 20, n = 25
SEM = 20 / √25
SEM = 20 / 5
SEM = 4.00

b) σ = 20, n = 100
SEM = 20 / √100
SEM = 20 / 10
SEM = 2.00

c) σ = 20, n = 400
SEM = 20 / √400
SEM = 20 / 20
SEM = 1.00

So, the standard error of the mean for each situation is:
a) 4.00
b) 2.00
c) 1.00

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Answer:

1.17 × 10^2

Step-by-step explanation:

Diameter of the sun is about 1.4 × 10^6 km

1.4*10^6 km = 1,400,000

Diameter of the planet venus is about 12000 km

12000 km = 1.2 × 10^4

Ratio of the diameters

Sun : Venus

1.4 × 10^6 km : 1.2 × 10^4

1.4 × 10^6 km / 1.2 × 10^4

1.4 / 1.2 × 10^6-4

1.166 × 10^2

Approximately

1.17 × 10^2

The approximate ratio of the diameter Sun to Venus is 1.17 × 10^2

Answer:

C

Step-by-step explanation:

1.17 x 10 to the 2nd. Took the test!

Answer:

Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.

Hope it helps ya mate! please give me brainliest!.ت︎ ت︎

Answer:

b

Step-by-step explanation:

3 times 10 is 30

3 times 1 is 3

3 times 1 tenth is .3

3 times 1 onethousandth is .003

add them all up to get 33.303

Step-by-step explanation:

Based on the given information:

Side b = 5 cm

Angle A = 64 degrees

Angle B = 38 degrees

To solve for the missing values, we can use the Law of Sines and the Law of Cosines.

a. To find side a using the Law of Sines:

We can use the formula: sin(A) / a = sin(B) / b

sin(64°) / a = sin(38°) / 5

To solve for a, we can rearrange the equation:

a = (sin(64°) * 5) / sin(38°)

b. To find side c using the Law of Cosines:

We can use the formula: c^2 = a^2 + b^2 - 2ab * cos(C)

First, we need to find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

C = 180° - 64° - 38°

Once we have angle C, we can substitute the known values into the Law of Cosines equation:

c^2 = a^2 + b^2 - 2ab * cos(C)

Now, we can solve for c.

c. To find angle C using the Law of Sines:

We can use the formula: sin(C) / c = sin(A) / a

sin(C) / c = sin(64°) / a

To solve for angle C, we can rearrange the equation:

C = arcsin((sin(64°) * c) / a)

Please note that the specific calculations will depend on the values of a, c, and the trigonometric functions used.

A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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If the concentration of the product COCl2 were to double, the equilibrium constant of the reaction would not be affected.

The equilibrium constant (K) is a measure of the ratio of product concentrations to reactant concentrations at equilibrium for a given chemical reaction. It is determined solely by the temperature of the reaction and is independent of the initial concentrations or changes in concentrations during the reaction.

Therefore, doubling the concentration of the product COCl2 would not alter the equilibrium constant of the reaction. The equilibrium constant reflects the relative concentrations of reactants and products at equilibrium and remains constant as long as the temperature remains the same. Any changes in concentration would simply shift the reaction towards the formation of reactants or products until a new equilibrium is reached, without affecting the equilibrium constant itself.

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The expected value for a person who buys one raffle ticket is -$0.60.

To calculate the expected value, we multiply the probability of each outcome by its respective value and sum them. In this case, there is a 1 in 1,000 chance of winning the laptop computer valued at $1,200, and a 999 in 1,000 chance of not winning anything. Therefore, the expected value can be calculated as follows:

Expected Value = (Probability of Winning * Value of Winning) + (Probability of Not Winning * Value of Not Winning)

             = (1/1,000 * $1,200) + (999/1,000 * -$2)

             = $1.20 - $1.998

             = -$0.60

The negative value indicates that, on average, a person who buys one ticket can expect to lose $0.60. This means that, over multiple repetitions of the raffle, the person would, on average, end up with a net loss of $0.60 per ticket.

It's important to note that expected value represents the average outcome and does not guarantee the actual outcome for an individual. Some individuals may win the laptop, while others may win nothing. The expected value simply provides a measure of the average gain or loss across many trials.

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Answer:

16/81

Step-by-step explanation:

2/3 x 2/3 x 2/3 x 2/3

4/9 x 2/3 x 2/3

8/27 x 2/3

16/81

Answer:

18

Step-by-step explanation:

Look at all factors of 9 that are even; 18, 36,  54, 72, 90

Next divide 198 by those numbers and the only whole number is from 18.

9 x 2 = 18

198/18 = 11

Answer:

write in the correct form please!

Answer: (b) The median and the mode are the same.

Answer:

Step-by-step explanation:

The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.

Answer:

-6^4+8x^2-4

Step-by-step explanation:

(3a^2+1)(-2a^2-4)

3a square x -2a square= -6^4

3a square x 1= 3x square -2x^2 x -4=8x^2

3x square + 8x^2= 11x^2

-4 x 1 =-4

Answer:

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPT

Step-by-step explanation:

Answer:

Formula for the circumference of a circle =2pir

Since the diameter is 10m the radius is half of that which is 5m.

2×3.14×5=31.4m

Step-by-step explanation:

I hope this helps.Have a great day♡

Inequality (C) -3.2 + 1.5n ≤ 8.6 correctly represents the sentence "the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6."

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

Both mathematical phrases, equations, and inequalities are created by connecting two expressions.

The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.

The symbols >, <, ≤ or ≥ indicate that the two expressions in inequality are not always equal.

So, the sentence we have is:

the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6

Which can be written in inequality as:

-3.2 + 1.5n ≤ 8.6

Therefore, inequality (C) -3.2 + 1.5n ≤ 8.6 correctly represents the sentence "the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6."

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Correct question:
Which inequality represents the sentence?

the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6.

a. -3.2n + 1.5 less-than-or-equal-to 8.6

b. -3.2n -  1.5 greater-than-or-equal-to 8.6

c. -3.2 +  1.5n less-than-or-equal-to 8.6

d. -3.2 -  1.5n less-than-or-equal-to 8.6

Megha's total movement involves biking 20km north, 30km east, 20km south, and 30km west, resulting in a displacement of zero as she ends up back at her starting point.

Given that,

Megha bikes 20km north.

Megha then bikes 30km east.

After that, Megha bikes 20km south.

Lastly, Megha bikes 30km west.

Megha stops after completing the above movements.

Megha's displacement can be calculated by finding the straight-line distance between her starting point and ending point.

In this case,

She initially bikes 20km north, then 30km east, followed by 20km south, and finally 30km west.

Let's break it down:

The north and south distances cancel each other out, as she ends up back at her starting point vertically.

The east and west distances also cancel each other out, as she ends up back at her starting point horizontally.

Hence,

Megha's displacement is zero. She has returned to her original position.

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Each sales associate working under Golf Realty could potentially face charges related to practicing real estate without a valid license. If Golf Realty allowed their real estate brokerage license to lapse.

Real estate licensing is a legal requirement for individuals involved in real estate transactions, including sales associates. If Golf Realty allowed their real estate brokerage license to lapse and the sales associates continued to practice real estate without a valid license, they could be charged with unauthorized practice of real estate or a similar offense.

The specific charges and legal consequences may vary depending on the jurisdiction and applicable laws. In many jurisdictions, practicing real estate without a license is considered a serious offense as it undermines consumer protection and regulatory requirements. Penalties for unauthorized practice may include fines, license suspension or revocation, and potential civil liability for any harm caused to clients or parties involved in the transactions.

It is important for individuals working in the real estate industry to ensure that they maintain valid licenses and comply with all relevant regulations to avoid potential legal issues. If the sales associates were unaware of the lapsed license and can demonstrate good faith in their actions, it may be taken into consideration during any legal proceedings.

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The probability that a patient who has been diagnosed with cancer truly has the illness 0.406

It is known from prior experience that there is a 0.05 chance of choosing a cancer-positive adult over 40 in a certain area of the nation. What is the likelihood that an adult over the age of 40 will be given a cancer diagnosis if the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the probability of a doctor incorrectly diagnosing a person without cancer as having the disease is 0.06.

We wish to compute P(C | D) this time. Bayes rule is used in this process.

\(& P(C \mid D)=\frac{P(C n D)}{P(D)} \\\\& =\frac{P(C) P(D \mid C)}{P(C) P(D \mid C)+P\left(C^{\circ}\right) P\left(D \mid C^*\right)} \\\\& =\frac{0.05 * 0.78}{(0.05 * 0.78)+(0.95 * 0.06)} \\\\& =\frac{0.039}{0.039+0.057} \\\\& =\frac{0.039}{0.096} \\\\& =0.406\)

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Answer:

The answer is B

Step-by-step explanation:

If I got it right on edg, you'll get it right on edg, unless we are talking about two different questions--- which we are not. Same question, right answer.

Answer:

b

Step-by-step explanation:

bc i said

Step-by-step explanation:

The answer is class 1!!!!!

To find f(3) given the function f(t) = u(t) - e^(t), the point u(3) = (1, 2, -1), and the vector v(t) = (1, ², ³), we need to substitute t = 3 into the function and perform the necessary calculations.

Substituting t = 3 into f(t) = u(t) - e^(t), we have:

f(3) = u(3) - e^(3)

Since u(3) is given as (1, 2, -1), we have:

f(3) = (1, 2, -1) - e^(3)

To evaluate e^(3), we need to calculate the exponential function e^(3) = e * e * e.

Finally, we subtract e^(3) from (1, 2, -1) to find the value of f(3). The result will be a vector with three components.

Please note that the specific values of e^(3) and the final vector components cannot be provided here as they involve numerical calculations.

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