The dot plots display the height, rounded to the nearest foot, of maple trees from two different tree farms. a. Compare the mean and standard deviation of the two data sets. b. What does the standard deviation tell you about the trees at these farms?

In a trigonal planar molecular geometry, there are three bonding electron pairs of a molecule which are located at 120° angles to each other and are coplanar.

If we talk about a molecule that has a trigonal planar molecular geometry, then it must be sp² hybridized. There are several molecules that have a trigonal planar molecular geometry. These include BF₃, AlCl₃, etc. To determine the number of atoms in this molecule having a trigonal planar molecular geometry, we first need to identify the given molecule.

Once we have identified the molecule, we can then proceed to check the molecular geometry of the molecule. Without knowing the given molecule, it is impossible to determine the number of atoms in this molecule having a trigonal planar molecular geometry. Please provide the name or formula of the given molecule so that I can help you with your question.

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Answer:

I think its 15 + 5x

Step-by-step explanation:

Answer:

3•10^3 is 3,000, so the answer is 9,000

Answer:

4

Step-by-step explanation:

Given the summation:

1² + 2² + 3² + ... + 15²

Let's express the sum using summation notation.

Let's use 1 as the lower limit and i for the index of summation.

To write the summation notation of the given expression, we have:

Here, we. have 15 numbers.

This means the number of terms is 15.

The lower limit is .

Thus, we have: n = 1.

Therefore, the summation notation for the expression is:

ANSWER:

For the given expression, 1² + 2² + 3² + ... + 15², the summation of the series is 1240.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is given that the expression is,

1² + 2² + 3² + ... + 15²

Let's use summation notation to represent the sum. Let's use I as the index of summation and 1 as the lower limit. We have the following information to write the expression's summation notation:

\(\sum n^2\)

The summation is from n=1 to n=15

=1240

Thus, for the given expression, 1² + 2² + 3² + ... + 15², the summation of the series is 1240.

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The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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The claim that two situations are similar, despite major differences being ignored and only minor similarities being emphasized, is a fallacy known as false analogy.

False analogy is a logical fallacy that occurs when two situations are compared based on minor similarities while ignoring significant differences. It involves drawing an invalid or weak comparison between two unrelated or dissimilar things. In this fallacy, the person making the claim assumes that because two situations share some superficial similarities, they must be similar in all aspects. However, this overlooks the fundamental differences that make the situations distinct.

For example, if someone argues that banning the use of plastic bags in a city is similar to banning the use of cars, based solely on the fact that both involve restricting a common item, they would be committing a false analogy. While there may be minor similarities between the two situations, such as the concept of imposing restrictions, there are major differences in terms of environmental impact, necessity, and alternatives. Ignoring these significant differences leads to an invalid comparison and can result in flawed reasoning.

In conclusion, false analogy occurs when two situations are deemed similar based on minor similarities while disregarding major differences. It is essential to carefully evaluate the relevant factors and understand the nuances of each situation before drawing comparisons to ensure logical and valid arguments.

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A. -2 +23 = 21 C

B. -2 x 3 = -6 C

Answer: that is a 45 degree angle

Step-by-step explanation: 90 / 2 is 45

Answer:

∠ A = 44°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

x + 59 + x + 51 + 84 = 180, simplify

2x + 194 = 180 ( subtract 194 from both sides )

2x = - 14 ( divide both sides by 2 )

x = - 7

Thus

∠ A = x + 51 = - 7 + 51 = 44°

Answer:

y=(x-5)^2 - 6

Step-by-step explanation:

Subtracting the 5 to the x moves the parabola 5 units to the right. Putting the -6 at the end moves the parabola down 6 units.

Answer:

\(y=\left(x-5\right)^{2}-6\)

Step-by-step explanation:

I graphed the original parabola and the new parabola on the graph below. I moved the original parabola down 6 and right 5.

Using the logarithmic function, it is found that After 10 months, the score is of 74.4.

When you raise a number with an exponent, there comes a result.

Lets say you get

\(a^b = c\)

The average score after t months is modeled by:

f(t)= 90-15 log10 (t+1)

The initial score is of f(0), therefore,

f(0)= 90-15 log10 (0+1),

f(0)= 90-15 log10

f(0)= 90

The initial score is of 90.

Using the logarithmic function,

After 6 months, the score is of f(6), hence:

f(6)= 90-15 log10 (6+1),

f(6)= 90-15 log10 (7)

f(6)= 77.4

After 6 months, the score is of 77.4.

After 10 months, the average score is of f(10 ), hence:

f(10)= 90-15 log10 (10+1),

f(10)= 90-15 log10 (11)

f(10)= 74.4

After 10 months, the score is of 74.4.

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there, x=-1 and y= 2 hope it helps

The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Answer:

y = 95°

Step-by-step explanation:

Linear pair of angles add up to 180°

120° + x = 180° [Linear pair of angles]

=> x = 180° - 120°

=> x = 60°

Sum of all angles of a triangle is 180°.

So, 25° + 60° + y = 180°

=> 85° + y = 180°

=> y = 180° - 85°

=> y = 95°

Answer:

x + 120 = 180

x = 180 - 120

× = 60

by angel sum property

25 + x + y = 180

25 + 60 + y = 180

85 + y = 180

y = 180 - 85

y = 95°

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Answer:

$300

Step-by-step explanation:

It is going up $35 per hour

Answer:

$300 for 7hrs

Step-by-step explanation:

because $35 an hour keep adding that on to $230 to get $300 hope this helps!

The measurement of side AC in the given right triangle is 10.12 units.

A triangle having at least one angle measuring 90° is called a right triangle.

Given that, a triangle ABC, right-angled at A,

AB = 15 and BC = 18.1, we need to find AC,

Please refer to the figure attached,

Using Pythagoras theorem,

BC² = AB² + AC²

AC² = BC² - AB²

AC² = (18.1)² - 15²

AC² = 327.61 - 225

AC² = 102.61

AC = 10.12

Hence, the value of AC = 10.12

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Answer:

Finding the exact volume is physically impossible, however, you can find a rough estimate by calculating side lengths and that stuff

Step-by-step explanation:

Answer:

245 i hope and swer its ok

Step-by-step explanation:

Answer:

Number of monthly calls = 475

Step-by-step explanation:

Given:

Plan 1 = $30 per month unlimited calls

Plan 2 = $11 + $0.04(per call)

Find:

Number of monthly calls, plan 1 better than plan 2

Computation:

Plan 1 (Cost) < Plan 2 (Cost)

30 < 11 + 0.04(x)

19 < 0.04(x)

475 < (x)

Number of monthly calls = 475

The value of missing number in given linear equation to have no solution should be greater than 4.

What is a linear equation ?

A linear equation is an equation that, when graphed on a coordinate plane, shows a straight line. It's an algebraic equation constant terms or the product of a constant and variable. A linear equation has the basic form y = mx + b, where y and x are variables, m is the slope, and b is the y-intercept.

Now,

Expanding the equation

-4x + 20 = ?x + 9

Subtracting ?x from both sides gives:

-4x + ?x + 20 = 9

Simplifying gives:

(4 - ?)x + 20 = 9

Subtracting 20 from both sides gives:

(4 - ?)x = -11

Since x cannot be negative and 4 - ? is positive, for this equation to have no solution, we need (4 - ?)x to be negative for all x. Therefore, we need 4 - ? to be negative, which gives:

4 - ? < 0

? > 4

So, if we choose any number greater than 4 for ?, the equation will have no solution. For example, if we let ? = 5, then the equation becomes:

4(-x+5) = 5x+9

Simplifying this equation gives:

-4x + 20 = 5x + 9

-9x = -11

x = 11/9

Therefore, the missing number ? must be greater than 4 to ensure that the equation has no solution.

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n = k(k + 7) is divisible by both 2 and 3, which are the prime factors of 6. Therefore, n is divisible by 6.

To determine if n is divisible by 6, we need to examine its prime factorization and check if it contains both 2 and 3 as factors.

Given that n = k(k + 7), we can see that if k is divisible by 2 or (k + 7) is divisible by 2, then n will also be divisible by 2. Similarly, if k is divisible by 3 or (k + 7) is divisible by 3, then n will be divisible by 3.

Let's consider the two cases:

If k is divisible by 2:

In this case, k can be written as k = 2m, where m is an integer. Substituting this in n = k(k + 7), we have:

n = 2m(2m + 7) = 4m^2 + 14m = 2(2m^2 + 7m)

Since 2m^2 + 7m is an integer, n is divisible by 2.

If (k + 7) is divisible by 2:

In this case, (k + 7) can be written as (k + 7) = 2m, where m is an integer. Substituting this in n = k(k + 7), we have:

n = k(2m) = 2km

Since km is an integer, n is divisible by 2.

Now, let's consider divisibility by 3:

For n to be divisible by 3, either k or (k + 7) should be divisible by 3.

If k is divisible by 3, then n = k(k + 7) is divisible by 3.

If (k + 7) is divisible by 3, we can rewrite (k + 7) as (k + 6 + 1). Since k + 6 is divisible by 3 (as k is divisible by 3), n = k(k + 7) is divisible by 3.

In both cases, n is divisible by 3.

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Given:

The total investment = $36000.

The interest rate of the first investment = 8%.

The interest rate of the second investment = 6%.

The interest rate of the third investment = 9%.

The total interest = $ 2820.

The interest from the first investment was 3 times the interest from the second.

Required:

We need to find the amounts of the three parts of the investment.

Explanation:

Let x, y, and z be the amounts of the three parts of the investment.

The total investment = $36000.

The total interest = $ 2820.

The interest from the first investment was 3 times the interest from the second.

Divide both sides by 0.08.

Divide both sides by 0.09.

Divide both sides by 0.58.

Final answer:

The first part of the investment was $ 18103.46.

The second part of the investment was $ 8045.98.

The third part of the investment was $ 9850.56

Answer:

bc = ef

Step-by-step explanation:

I just took the test

Similar triangles may or may not be congruent

The true statement is (b) BC  EF

From the question, we have the following highlights about the triangles

The above represents the AA theorem

For the triangles to be similar by ASA, then the side lengths between the equal angles must be similar

The side lengths are BC and EF

Hence, the true statement is (b) BC  EF

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Answer:What you would have to do for this problem is set up an equation for a year and equal them out. The equation would be 27+6x = 8.25x.

X = each visit to the movie.

Now all you have to do is solve the equation. Subtract 6x from 8.25x, and get 27=2.25x. Then, divide 2.25 from 27, and you would get your answer, which is 12. So, they would both have to see 12 movies to pay the same amount that year.

To check your work to see if you were right, you would plug in 12 as x, because that is the variable that represents the amount of visits to the movie. For Jaycie, the equation would be 27+6.00(12), and you would get 99, so she would pay $99 in total. For Claire, you would just do 8.25(12), which is also 99. That is how you know your answer is right.

I already answered this question to this student today. Student unresponsive.

\(\sqrt{x+2}=x-4\implies (\sqrt{x+2})^2=(x-4)^2\implies x+2=x^2-8x+16 \\\\\\ 0=x^2-9x+14\implies 0=(x-7)(x-2)\implies x= \begin{cases} 7 ~~ \textit{\LARGE \checkmark}\\ 2 ~~ \bigotimes \end{cases}\)

why is x = 2 not good?  well, plug it in, making the assumption that we're using only the positive root, 2 ≠ -2.

Answer:

If his old mirror had a side length of 9cm, that means the area would be 81cm (9 times 9)

For the circles:

A radius of 8: 201.06

A radius of 7: 153.94

A radius of 5: 78.54

The only one of these answers that is remotely close to dominics original mirror would be C: the radius of 5. 81 is close to 78.5!

The values for x by completing the given steps to solve for |x/6 - 7/12| = 11/6 is x=29/2 or x= -15/2.

A modulus function is a function which gives the absolute value of a number or variable. It produces the magnitude of the number of variables.

Given is a modulus function, |x/6 - 7/12| = 11/6

Solving for x,

Negative Direction;

x/6 - 7/12 = -11/6

x/6 = -22/12 + 7/12 = - 15/12

x = (-15/12)6 = -15/2

x = -15/2

Positive Direction;

x/6 - 7/12 = 11/6

x/6 = 22/12 + 7/12 = 29/12

x = (29/12)6 = 29/2

x = 29/2

Hence, the values for x by completing the given steps to solve for |x/6 - 7/12| = 11/6 is x=29/2 or x= -15/2.

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