Mumbai is approximately 845845845 kilometers (\text{km})(km)left parenthesis, start text, k, m, end text, right parenthesis away from Bangalore, and Mumbai is approximately 1160\,\text{km}1160km1160, start text, k, m, end text away from Delhi. The distances, measured in centimeters (\text{cm})(cm)left parenthesis, start text, c, m, end text, right parenthesis, between the cities on Allyson's map are proportional to the real distances.
Which of the following could be the distances on Allyson's map?

Answer:

p≤19-2

p≤17

Step-by-step explanation:

this is the maening of equaliry

Answer:

a variable.

Step-by-step explanation:

I know this because I had a test today that I studied for but I of course failed it…

It was for math.

Answer:

5

Step-by-step explanation:

Answer:

1/2w = 10 (you have to divide both sides by 1/2 to isolate w)

w= 5 (your answer)

I hope this helped :)

Answer:

Step-by-step explanation:

1. 1.

2. That would be the GCF ( The Greatest Common Factor) of 15 and 25:

15 = 3 * 5

25 = 5 * 5

That is 5 liters.

3.  This is the GCF:

44 = 2 * 2* 11

121 = 11 * 11

The answer is 11.

4. Find the GCF:

25 = 5 * 5

35 = 5 * 7

Answer is 5 inches.

Answer:

y = \(-\frac{1}{5}x\) - 4

Step-by-step explanation:

As we know the point slope form of an equation is as follows -

y - y₁ = m ( x - x₁ )

As we have slope , m = \(-\frac{1}{5}\)

And point (x₁ , y₁ ) = ( -5, -3)

⇒ y - ( -3) = \(-\frac{1}{5}\) ( x - (-5) )

⇒ y + 3 = \(-\frac{1}{5}\) ( x + 5 )

⇒ y + 3 = \(-\frac{1}{5}\) x - 1

⇒ y =  \(-\frac{1}{5}\) x - 1 - 3

⇒ y =  \(-\frac{1}{5}\) x - 4

So, the equation becomes

y = \(-\frac{1}{5}x\) - 4

Answer:

0.625 liters

Step-by-step explanation:

Given data

volume drained= 2.5Liters

Time= 4 days

Now the if 4 days leakage will produce a volume of 2.5Liters

Then 1 day will produce a volume of x liters

cross multiply

4x= 2.5

x= 2.5/4

x= 0.625 liters per day

Hence, each day will produce  0.625 liters

Answer:

slope:12

Step-by-step explanation:

I HOPE IT HELP YOU

0_<

Answer:

12

Step-by-step explanation

the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

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Answer:

Congruent triangles are exact same triangles, but they might be placed at different positions. The corresponding congruent part for each segment or angle can be arranged as shown below.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

(|AB| denotes the length of line segment AB, and so on for others).

Given the two triangles, ΔDFC and △SNP are congruent to each other, DFC≅△SNP. Therefore, we can write,

Step-by-step explanation:

Answer:

It will be 180 because 2/5 of means 2 in 5 then in ,450 you need to know 2/5 of 450 which gives you 180

(a) Larry took ( 1/3 ) of the sweets in the box.

(b) There were a total of 72 sweets in the box.

(c) The fraction of sweets taken by Keith and Joe are ( 288/9) and ( 144/9 ) respectively.

Keith, Larry, and Joe shared a box of sweets.

Let the total number of sweets be y.

Now, Joe took ( 2/9) of the sweets.

Therefore, the number of sweets Joe took = ( 2/9 )y

Now, Keith took twice as many sweets as Joe.

Therefore, the number of sweets Keith took = 2 × ( 2/9 )y = (4/9) y

Then, the number of sweets Larry too k will be:

= y - ( 2/9 )y - (4/9) y

(a) Then the fraction of sweets Larry took is:

= y - ( 2/9 )y - (4/9) y

= y - [ ( 2 + 4) / 9 ] y

= y - ( 6 / 9 )y

= y - ( 2/3)y

= [ ( 3 - 2 )/3 ]y

= ( 1/3 )y

(b) If Larry took 24 sweets less than the total number of sweets taken by Joe and Keith.

Then,

the number of sweets Keith took + the number of sweets Joe took - 24 = ( 1/3 )y

( 4/9 )y + ( 2/9)y - 24 = ( 1/3 )y

( 6/9 )y - 24 = ( 1/3 )y

( 6/9)y - ( 1/3 )y = 24

[ ( 6 - 3) / 9 ]y = 24

( 3/9 )y = 24

( 1/3)y = 24

y = 24 × 3

y = 72

There were 72 sweets in the box.

(c) The number of sweets Keith took

= (4/9) y

= ( 4/9 ) × 72

= ( 288/9 )

The number of sweets taken by Joe is:

= ( 2/9 )y

= ( 2/9) × 72

= ( 144/9 )

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in case of box start being tilt,

box should be half out the table,

The Center of Mass of an object or system of objects is a location that is specified in relation to those objects. The Center of Mass of a system is the location where all of its components are on average when they are all weighted in accordance with their masses. The centroid is where basic stiff objects with homogenous density have their centers of mass. Sometimes an object's Center of Mass might not be directly over it. The Center of Mass would be on the Center in the event of a uniform disc, but there would be no material in the case of a ring where the Center of Mass would be on the Center.

The Centre of Mass for intrinsic shapes can be defined as the position where the sum of all of its weighted position vectors of all the parts equals zero.

In this we can use the Center of Mass concept,

As it will leave table when normal is not acting from the table at the center of mass.

So, as in case of box measuring ( x, y, z ) the center of mass from any point of the box is \(\sqrt{x^{2} +y^{2}+ z^{2} }\)

So in case of box start being tilt,

box should be half out the table,

So that COM must be just outside the table

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These conversions can be carried out for any amount of mass given in grams.

0.379 g = 379 mg

787 g = 0.787 Mg

74.3 g = 0.0743 kg

1. To convert 0.379 g to mg, multiply 0.379 by 1000. 0.379 x 1000 = 379 mg.

2. To convert 787 g to Mg, divide 787 by 1000. 787 / 1000 = 0.787 Mg.

3. To convert 74.3 g to kg, divide 74.3 by 1000. 74.3 / 1000 = 0.0743 kg.

The 0.379 g was converted to 379 mg, 787 g was converted to 0.787 Mg, and 74.3 g was converted to 0.0743 kg.

The conversion of 0.379 g to mg is done by multiplying 0.379 by 1000. The result is 379 mg. To convert 787 g to Mg, divide 787 by 1000. The result is 0.787 Mg. To convert 74.3 g to kg, divide 74.3 by 1000. The answer is 0.0743 kg. In summary, 0.379 g was converted to 379 mg, 787 g was converted to 0.787 Mg, and 74.3 g was converted to 0.0743 kg. This demonstrates how to convert mass from grams to different derived units. These conversions can be carried out for any amount of mass given in grams.

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Answer:

-1 and 1

Step-by-step explanation:

The area under the normal curve to the right of μ equals 0 . Thus, option C is correct.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The area under the normal curve to the right of μ equals 0, which means that the entire normal distribution is to the left of μ.

This is because the normal distribution is a symmetric probability distribution, and so half of the area is to the left of the mean and half is to the right. Therefore, if all the area is to the left of μ, then none is to the right.

Option A, σ, represents the standard deviation of the normal distribution and is not related to the area to the right of μ.

Option B, 1/2, is incorrect because it represents the area to the right of the median, which is not necessarily the same as the mean for a normal distribution.

Option D, 1/σ√2π, is incorrect because it represents the height of the normal curve at the mean, not the area to the right of the mean.

hence, The area under the normal curve to the right of μ equals 0.

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Answer:

its b

Step-by-step explanation:

because im feeling generous enjoy

Answer:

Step-by-step explanation:

To determine if these data provide convincing evidence that more than 25% of adults would describe themselves as organized, we can perform a hypothesis test. The null hypothesis is that the proportion of adults who would describe themselves as organized is equal to 25%. The alternative hypothesis is that the proportion of adults who would describe themselves as organized is greater than 25%.

The conditions for inference are:

Random: We have a random sample of 100 adults, so this condition is met.

10%: The sample size is less than 10% of the population, so this condition is also met.

Large counts: The number of successes (adults who describe themselves as organized) and the number of failures (adults who do not describe themselves as organized) in the sample should both be at least 10. In this case, we have npo = 100 * 0.25 = 25 and n(1-po) = 100 * 0.75 = 75. Both of these values are at least 10, so this condition is met.

Therefore, the conditions for inference are met and we can proceed with the hypothesis test. To do this, we can use a z-test for proportions, with a significance level of a = 0.01. The test statistic is calculated as follows:

z = (p - po) / sqrt(po * (1 - po) / n)

where p is the sample proportion of adults who describe themselves as organized (42/100 = 0.42), po is the null hypothesis proportion (0.25), and n is the sample size (100).

Plugging these values into the formula, we get:

z = (0.42 - 0.25) / sqrt(0.25 * (1 - 0.25) / 100) = 1.60

We can then look up the critical value for a two-tailed test with a = 0.01 in a z-table. The critical value is 2.58. Since the test statistic (1.60) is less than the critical value (2.58), we fail to reject the null hypothesis. This means that we do not have convincing evidence that more than 25% of adults would describe themselves as organized.

Without additional information about the number of hearts in the incomplete pack, we cannot determine the probability that the lost card is a heart.

To find the probability that the lost card is a heart, we can use conditional probability.

Let's denote the event of drawing two spades as A and the event of the lost card being a heart as B.
The probability of drawing two spades from an incomplete pack can be calculated as follows:
P(A) = (number of spades in the incomplete pack / total number of cards in the incomplete pack) * ((number of spades in the incomplete pack - 1) / (total number of cards in the incomplete pack - 1))
Now, since both cards drawn were spades, we know that event A has occurred.

To find the probability of the lost card being a heart given event A, we can use conditional probability:
P(B|A) = P(A ∩ B) / P(A)
The intersection of events A and B is the probability that both events A and B occur simultaneously.

However, since we don't have any information about the number of hearts in the incomplete pack, we cannot calculate the exact value of P(A ∩ B).
Therefore, without additional information about the number of hearts in the incomplete pack, we cannot determine the probability that the lost card is a heart.

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The product of the volume and total surface area of the given right conical frustum is approximately 146520π². To find the product of the volume and total surface area of a right conical frustum, we first need to determine the individual values of volume and surface area.

The volume of a frustum can be calculated using the formula:

V = (1/3)πh(r₁² + r₂² + r₁r₂),

where h is the height of the frustum, r₁ and r₂ are the radii of the larger and smaller bases, respectively.

In this case, we are given that the radii of the larger and smaller bases are 12 and 9 units, respectively. We also know that the two bases are 4 units apart, which means the height of the frustum is 4 units.

Substituting the given values into the formula, we have:

V = (1/3)π(4)(12² + 9² + 12*9)

 = (1/3)π(4)(144 + 81 + 108)

 = (1/3)π(4)(333)

 = (4/3)π(333)

 ≈ 444π cubic units

Now, let's move on to calculating the total surface area of the frustum. The formula for the total surface area is:

A = π(r₁ + r₂)ℓ + πr₁² + πr₂²,

where ℓ is the slant height of the frustum.

Since the frustum is a right frustum, the slant height ℓ can be found using the Pythagorean theorem:

ℓ = √(h² + (r₁ - r₂)²)

Substituting the given values, we have:

ℓ = √(4² + (12 - 9)²)

 = √(16 + 9)

 = √25

 = 5

Now we can calculate the total surface area:

A = π(12 + 9)(5) + π(12²) + π(9²)

 = π(21)(5) + π(144) + π(81)

 = 105π + 144π + 81π

 = 330π square units

Finally, to find the product of the volume and total surface area, we multiply the two values:

VA = (444π)(330π)

  ≈ 146520π²

Therefore, the product of the volume and total surface area of the given right conical frustum is approximately 146520π².

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Answer:

no solution

Step-by-step explanation:

distribute the -5 to the parenthesis

-5w + 20 < -5w - 15

move all the numbers on right and variables on left

20 + 15 < 0

35 < 0

no solution

The multiplication rule of probability is used to calculate the joint probability of two events.

This rule states that the probability of two events occurring together is equal to the probability of one event occurring, multiplied by the probability of the other event occurring, given that the first event has already occurred.

In mathematical terms, this can be written as P(A and B) = P(A) * P(B|A), where P(A) is the probability of event A occurring, P(B|A) is the probability of event B occurring given that event A has already occurred, and P(A and B) is the joint probability of events A and B occurring together.

The multiplication rule is used to calculate the probability of two events occurring together when the events are dependent on each other.

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Answer:

Step-by-step explanation:

The multiplication rule of probability is used to calculate the joint probability of two events. This rule states that the probability of two events occurring together is equal to the probability of one event occurring, multiplied by the probability of the other event occurring, given that the first event has already occurred.In mathematical terms, this can be written as P(A and B) = P(A) * P(B|A), where P(A) is the probability of event A occurring, P(B|A) is the probability of event B occurring given that event A has already occurred, and P(A and B) is the joint probability of events A and B occurring together. The multiplication rule is used to calculate the probability of two events occurring together when the events are dependent on each other.To know more about multiplication rule click here:brainly.com/question/29524604#SPJ11

The Mean is 43 and Standard Error of x is 0.7225

What is Statistics?

Statistics is the study of data collection, analysis, presentation, and interpretation. Much of the early push for the subject of statistics came from government demands for census data as well as information about a range of economic operations.

We are provided with the Sample Size (n) = 16

Mean (μ) = 43

Standard Deviation (σ) = 1.7

We need to find:

Standard Error of x

So, to calculate Standard Error of x we need to find variance first

Variance = (Standard Deviation)^2

Variance = 1.7 * 1.7 = 2.89

Standard Error = Variance / √Sample Size

Standard Error = 2.89 / √16

Standard Error = 2.89 / 4

Standard Error of x is 0.7225

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The solution of the given equation is x = 4i-3.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given equation is  x² + 6x + 13 = 0. The solution of the equation will be done as,

x² + 6x + 13 = 0

( x + 3 )² - 3² + 13 = 0

( x + 3 )² - 9 + 13 = 0

( x + 3 )² = -4

( x + 3 ) = √-4

( x + 3 )²  = 4i

x = 4i - 3

Therefore, the solution of the given equation is x = 4i-3.

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a. The feasible strategies for player 1 will be options A and B.

b. The Nash equilibria are W for player 2, X if player 1 plays 2 and Z if player 1 plays B.

c. The perfect subgame will be the combination B, Z(100,150)

Step 1: Finding the list of feasible strategies for player 1 and player 2

a.

According to the extensive-form game, the feasible strategies for player 1 will be options A and B, since in both movements he will be able to obtain a payoff.

Again, the feasible strategies for player 2 will be W and X if player 1 plays 2 and Z if player 1 plays B.

Step 2: Finding the Nash equilibrium\

b.

In an extensive game we can analyze the possible strategies from the last result backwards. Here, we observe which sequence is the most optimal, that is, the backward induction strategy. We also see what happened in the last decision and based on that the penultimate decision is made until the start of the game.

Here, the strategy the player 2 chooses is Z because player 1 chose B. This will be the most optimal strategy and Nash equilibrium since they are the maximum amount that both players can get (100, 150 will be reached).

Similarly, a second Nash equilibrium can be reached in which player 2 chooses W if player 1 chooses A generating an equilibrium of (60,120).

Step 3:To find the subgame perfect equilibrium

The perfect balance of a subgame can usually be determined through backward induction of the final results of each game.

The perfect subgame will then be the combination B, Z(100,150) since Player 2 does not have a credible threat to play Y since he would get 0 and it is not Nash equilibrium. Likewise, it would not be in the interest of Player 1 to choose A and obtain a lower profit when player 2 chooses W.

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A right angle is 90 degrees, an obtuse angle is larger than 90 degrees and an acute angle is less than 90 Degrees.

The angle shown is smaller than 90 degrees so it is c. Acute

The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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A confounding variable is a variable that is related to both the independent variable (hours of revision) and the dependent variable (performance in a college-level Spanish language exam).

In this study, potential confounding variables could include the students' prior knowledge of Spanish, their natural ability in language learning, their level of motivation, their access to study resources, and their level of stress or anxiety. These factors could impact both the amount of time a student spends revising and their performance on the exam, making it difficult to determine if the hours of revision directly caused any changes in exam performance. To control for these confounding variables, researchers may consider randomly assigning students to different revision time groups, measuring these other factors, or using statistical analysis techniques to adjust for these variables.
In your study on the effect of revision hours on college-level Spanish language exam performance among 100 college students, potential confounding variables could include:

1. Prior knowledge of Spanish: Students with previous experience in learning Spanish may perform better than those without, regardless of revision hours.
2. Study habits: The quality of study methods can influence the effectiveness of revision hours.
3. Language aptitude: Some students may naturally possess a higher aptitude for language learning, affecting their exam performance.
4. Instructor quality: The effectiveness of the Spanish language instructor can influence student performance.
5. Sleep and stress levels: Adequate sleep and low stress levels can improve a student's ability to retain information during revision.

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