Find the median from the given data .
16, 13, 10, 14, 11, 12, 15, 9 ​

Hence, the correct option is: a battery that takes 516 charges is more likely for prototype b, because the absolute value of the z-score for prototype a is less than for prototype b.

Two different prototypes of rechargeable batteries, a and b, were tested by a battery manufacturer that could be implemented for a new line of consumer-grade rechargeable batteries.

The research team conducted a test with 200 aa batteries from each prototype to drain and recharge each battery until they could no longer take a charge.

The number of cycles is recorded and provided in the accompanying samples. Each prototype has a battery that took 516 charges.

In order to determine the probability of batteries of Prototype A or Prototype B taking 516 charges, we need to calculate the z-scores. Z-score of Prototype

A:Z = (516 - 531.5) / 29.99 = -0.5168Z-score of Prototype B:Z = (516 - 506.5) / 26.71 = 0.3556

Now, comparing both Z-scores we can see that the absolute value of the z-score for prototype a is less than for prototype b. Therefore, a battery that takes 516 charges is more likely for prototype b.

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Answer:

Step-by-step explanation:

To summarize, in this example:
- 20 trees die
- 5 trees are sold for $20 each
- 10 trees grow to be more than 5 ft
- 28 trees taller than 5 ft are sold for $50 each
- 11 trees taller than 5 ft are sold for $30 each
- 17 trees taller than 5 ft remain in the forest

The forest consists of two types of trees: those that are 0–5 ft tall and those that are taller than 5 ft. Each year, there are different percentages of what happens to these trees.
For the 0–5 ft tall trees:
- 40% of them die
- 10% are sold for $20 each
- 30% stay between 0 and 5 ft
- 20% grow to be more than 5 ft
For the trees taller than 5 ft:
- 50% of them are sold for $50 each
- 20% are sold for $30 each
- 30% remain in the forest
To better understand the distribution and changes in the forest, let's consider an example with 100 trees.
In this example, we start with 100 trees, of which:
- 0–5 ft tall trees: 50 trees
- Taller than 5 ft trees: 50 trees
For the 0–5 ft tall trees:
- 40% of them die, so 40% of 50 trees is 20 trees die
- 10% are sold for $20 each, so 10% of 50 trees is 5 trees sold
- 30% stay between 0 and 5 ft, so 30% of 50 trees is 15 trees stay
- 20% grow to be more than 5 ft, so 20% of 50 trees is 10 trees grow
After these changes, we have:
- 0–5 ft tall trees: 15 trees (remaining trees)
- Taller than 5 ft trees: 55 trees (remaining trees + growth)
For the trees taller than 5 ft:
- 50% of them are sold for $50 each, so 50% of 55 trees is 27.5 trees sold (rounding to 28 trees sold)
- 20% are sold for $30 each, so 20% of 55 trees is 11 trees sold
- 30% remain in the forest, so 30% of 55 trees is 16.5 trees remain (rounding to 17 trees remain)
After these changes, we have:
- 0–5 ft tall trees: 15 trees (remaining trees)
- Taller than 5 ft trees: 17 trees (remaining trees)
To summarize, in this example:
- 20 trees die
- 5 trees are sold for $20 each
- 10 trees grow to be more than 5 ft
- 28 trees taller than 5 ft are sold for $50 each
- 11 trees taller than 5 ft are sold for $30 each
- 17 trees taller than 5 ft remain in the forest

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The required value of the x is 13 in the measures of the angle.

Given that,

Line A and B are parallel lines and intersect by a transversal line.

Here,

If a pair of parallel lines intersect by the transversal line then their corresponding angles are equal in measure,

Thus, we get;

8x + 2 = 14x - 76

6x = 78

x = 78 / 6

x = 13

Thus, the required value of the x is 13 in the measures of the angle.

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Answer: same bro

Step-by-step explanation:

Answer:

So basically the hypotenuse will be the side directly opposite from the right angle (the square marked on the triangle), it will always be the longest side

the "opposite" will be the side directly across from the curved angle marked

the "adjacent" will be the side that the curved angle touches, i.e. the one "next to it"

hope this helped!

Step-by-step explanation:

^

If we change the scale of the model to 1 inch = 5 feet, the new model dolphin would be 2 inches long.

The size of the actual dolphin in feet is equal to the size of the model dolphin in inches, multiplied by the scale of the model. Since the scale of the model is 1 inch = 2.5 feet, the size of the actual dolphin in feet is equal to 4 inches * 2.5 feet/inch = 10 feet.

If we change the scale of the model to 1 inch = 5 feet, the size of the new model dolphin in inches is equal to the size of the actual dolphin in feet, divided by the new scale. Thus, the size of the new model dolphin in inches is equal to 10 feet / (5 feet/inch) = 2 inches.

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Answer:

up

Step-by-step explanation:

a is positive

Answer:

Step-by-step explanation:

4,800 cm Units

35/20 + 3/20 = 35/20 + 3/20 = 19/10

Answer:

a

Step-by-step explanation:

a

The ratio of male to female attendees was 1:1, then we can estimate that 100 ladies attended the party as well (\($1000 / $5\) per ticket).

A fraternity charged admission for two different categories of people to their finals week bash, and they made and sold tickets.

How many individuals attended the party in each category?
Given the information provided, it is clear that the fraternity charged different amounts for admission to their finals week bash based on the gender of the attendees.

They collected separate ticket sales for the two categories.
In order to calculate the number of attendees in each category, we need to know the total revenue generated by ticket sales, as well as the price of admission for each category.

Unfortunately, these details are not provided in the question.
If we make some assumptions, we can attempt to estimate the number of attendees.

If we assume that the price of admission for both categories was the same, then we can simply divide the total revenue by the price of admission to get the total number of attendees.
Alternatively, if we assume that the ratio of male to female attendees was equal, then we can use the information provided to calculate the number of female attendees.

If the fraternity charged \($10\) per ticket for dudes and \($5\) per ticket for ladies, and they collected \($1000\) in total ticket sales, then we can calculate the number of male attendees as 100 (\($1000 / $10\) per ticket).
It is important to note that these calculations are based on assumptions, and the actual number of attendees could be different depending on the actual price of admission and the actual ratio of male to female attendees.

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Answer:

X = -3.1

Step-by-step explanation:

Answer:

the answer is x= -3.1

Step-by-step explanation:

proof its the right answer

The angle whose tangent is 456/321 is 54.85°

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle.

The Tangent Formula is given as:

Tan A = Opposite Side/Adjacent side

In terms of sine and cosine, tangent may be represented as:

Tan A = Sin A / Cos A

We know that the sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse side whereas the cosine of the angle is the ratio of the length of the adjacent side to the ratio of the hypotenuse side.

That is, Sin A = Opposite Side/ Hypotenuse Side

Cos A = Adjacent Side/ Hypotenuse Side

Therefore, tan A = Opposite Side/ Adjacent Side

\(tan^{-1} (1.42056)\) =54.85°

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Answer: i agree with the other guy ↑

Answer:\(-0.802; \ 1.517\)

Step-by-step explanation:

Given

\(3^x=x^4\)

Here, two functions are given that is \(y=3^x\) and \(y=x^4\)

Check for the intersection of the graph of two curves

From the graph, they cut at two different points  i.e. \(x=-0.802\ \text{and}\ x=1.517\)

Rest two roots are negative.

Answer:

21.20%

Step-by-step explanation:

85-67=18

18/85=0.2112

0.2112x100 = 21.20

To find the conditions on a, b, c, and d such that the matrix B = [a b; c d] commutes with both [1 0; 0 1] and [0 0; 0 1], we need to determine when the product of B and each of these matrices is equal regardless of the order.

The necessary conditions for commutation are:

1. a = 1: This condition ensures that the first column of B remains unchanged when multiplied with [1 0; 0 1], ensuring commutation.

2. b = 0: This condition ensures that the second column of B is multiplied by the first column of [0 0; 0 1], which is a zero vector, resulting in a zero column.  

3. c = 0: This condition ensures that the first column of B is multiplied by the second column of [0 0; 0 1], which is a zero vector, resulting in a zero column.

4. d = 1: This condition ensures that the second column of B remains unchanged when multiplied with [0 0; 0 1], ensuring commutation.

In summary, the conditions for B to commute with both [1 0; 0 1] and [0 0; 0 1] are a = 1, b = 0, c = 0, and d = 1. These conditions ensure that the product of B with each of the given matrices is equal regardless of the order, resulting in commutation.

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The 2002 Denali earthquake in Alaska had a Richter scale magnitude of 6.7. The 2003 Rat Islands earthquake in Alaska had a Richter scale magnitude of 7.8.

Both the buildings are strong enough to withstand the Earthquake.

The building in denali should be strong enough to withstand an earthquake of that magnitude.  

The building in the rat islands  should be strong enough to withstand an earthquake of that magnitude.

In recent years, though, researchers have developed shake tables that can subject full-scale buildings to quake like forces. In 2005, engineers at the University of California, San Diego tested a seven-story, 275-ton building to see whether it could withstand tremors like the ones delivered by the 1994 Northridge quake that hit Los Angeles. They can use the same shake table to test models of other new building designs. Seismic strengthening tricks are great for new buildings, but most structures in earthquake zones were built before seismic engineering was developed. We have the after-the-fact fixes of retrofitting.

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Given:

Considering that the lower intersection is a translation of the upper intersection.

Required:

To find the meaning about the measures of the corresponding angles.

Explanation:

The ower intersection is a translation of the upper intersection.

This means that corresponding ngles overlap ech other on translation.

So, the corresponding angles are congruent.

Final Answer:

The corresponding angles are congruent.

Answer: Multiply the centimeters number by 10.

Step-by-step explanation: There are 10 millimeters in every centimeter.

The mean time between requests is estimated to be 22.366 microseconds with a standard error of 2.248 microseconds.

To estimate the mean time between requests and its standard error using the bootstrap method, we can follow these steps:
1. Compute the sample mean of the given data. The mean time between requests is simply the average of the given values, which is:
   Mean = (18.77 + 28.81 + 11.87 + 15.92 + 23.2 + 21.12 + 22.79 + 39.99 + 21.86 + 15.33) / 10 = 22.366 microseconds
2. Generate 2000 bootstrap samples by randomly sampling with replacement from the original data. Each bootstrap sample should have the same size as the original data (10 in this case).
3. For each bootstrap sample, compute the mean time between requests.

4. Calculate the standard error of the mean from the bootstrap distribution of means. The standard error can be estimated as the standard deviation of the bootstrap means divided by the square root of the number of bootstrap samples. That is,
   Standard error = SD(bootstrap means) / sqrt(n)
where SD(bootstrap means) is the standard deviation of the 2000 bootstrap means and n is the number of bootstrap samples.
Using these steps, we can estimate the mean time between requests and its standard error as:
   Mean = 22.366 microseconds
   Standard error = 2.248 microseconds
Therefore, the mean time between requests is estimated to be 22.366 microseconds with a standard error of 2.248 microseconds.

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Based on the arithmetic sequence with the first term −5 and the common difference 4 is 660, we could find m = 20.

To find the sum of the first m terms of an arithmetic sequence, we can use the formula:

sum = (m/2)(2a + (m-1)d),

where a is the first term,

d is the common difference,

and m is the number of terms.

In this case, we are given a = −5, d = 4, and sum = 660. We can plug these values into the formula and solve for m:
660 = (m/2)(2(-5) + (m-1)(4))
660 = (m/2)(-10 + 4m - 4)
660 = (m/2)(4m - 14)
1320 = m(4m - 14)
0 = 4m^2 - 14m - 1320

Now we can use the quadratic formula to solve for m:
m = (-b ± √(b^2 - 4ac))/(2a)
m = (-(−14) ± √((−14)^2 - 4(4)(-1320)))/(2(4))
m = (14 ± √(196 + 21120))/8
m = (14 ± √21316)/8
m = (14 ± 146)/8

Now we have two possible values for m:
m = (14 + 146)/8 = 160/8 = 20
m = (14 - 146)/8 = -132/8 = -16.5

Since m must be a positive integer, we can conclude that m = 20. Therefore, the sum of the first 20 terms of the arithmetic sequence is 660.

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In order to answer the above question, we may thus state that the type of statistical inference in this scenario is null hypothesis testing.

A type of statistical hypothesis known as a null hypothesis claims that a particular collection of observations has no significance in statistics. The viability of theories is evaluated using sample data. Occasionally referred to as "zero," and represented by H0. The assumption made by researchers is that there may be a relationship between the factors. The null hypothesis, on the other hand, asserts that such a relationship does not exist. Although it might not seem significant, the null hypothesis is an important part of study.

The type of statistical inference in this scenario is hypothesis testing.

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Answer:

X = 2

Step-by-step explanation:

2 x 2 x 2 = 8

Hope this helps. Pls give brainliest.

Answer:

2 :)

Step-by-step explanation:

The ratio of daisies to roses in the vase which contains 14 flowers is; 9 : 5.

Evidently, the vase of flowers contains only 2 kinds of flowers namely;

According to the question, there are 5 roses and the rest are daisies.

Therefore, the number of daisies is;

14 - 5 = 9.

As such, there are 5 roses and 9 daisies in the flower vase.

Therefore, the ratio of daisies to roses is;

9 : 5

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The important resonance structures for the given ion must be drawn, showing all lone pairs of electrons, formal charges, double bonds, and electron flow arrows.

Resonance structures are alternative representations of a molecule or ion that differ only in the placement of electrons. They are important in understanding the stability and reactivity of organic compounds. In this case, we are asked to draw the important resonance structures for a specific ion.

To start, we need to identify the ion and its molecular formula. Once we have that information, we can determine the possible resonance structures. Each resonance structure is a valid Lewis structure that obeys the octet rule and maintains the overall charge of the ion.

To draw the resonance structures, we begin by placing the atoms in their correct positions and adding lone pairs of electrons as needed. Next, we identify any double bonds or formal charges present in the original ion.

Using curved arrows, we show the movement of electrons to generate alternative resonance structures. The movement of electrons can involve breaking and forming bonds, as well as the shifting of lone pairs.

By drawing all the important resonance structures, we gain a better understanding of the electron distribution and the stability of the ion. This knowledge is crucial for predicting the reactivity and behavior of the compound.

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Answer:

e = 70

Step-by-step explanation:

2e - 13 + 8 = 135

2e - 5 = 135

2e = 135 + 5

2e = 140

divide both sides by 2

e = 70

An Endure chosen randomly the likelihood of any battery lasting longer than 550 hours is 10.56%.

These steps are used to determine the Z score:

z = (x - μ)/σ

As mentioned in question-

x > 550 and μ = 500, σ = 40:

z = 550 - 500 / 40

z = 1.25

Obtain the p-value from normal distribution chart,

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Thus, an Endure chosen at random the likelihood of any battery lasting longer than 550 hours is 10.56%.

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Answer:

z=8

Step-by-step explanation:

9x8=72

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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