confused as how to solve this one

A high number of bins can produce noise and conceal the underlying pattern, whereas a small number of bins can oversimplify the distribution and obscure key characteristics equation  .

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

The data and the goal of the display will determine the ideal number of bins for a histogram. The square root of the total number of data points can, however, be used to determine the number of bins as a general rule of thumb.

In this instance, the square root of 56 is around 7.5 and there are 56 bits of data. As a result, we may start with a range of 7-8 bins, which would provide the histogram a solid place to start.

It's crucial to remember that changing the number of bins might affect how the data should be interpreted. A high number of bins can produce noise and conceal the underlying pattern, whereas a small number of bins can oversimplify the distribution and obscure key characteristics.

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Answer:

Here’s the answer! Best of luck.

Step-by-step explanation:

Answer: $2.80 a day

Step-by-step explanation:

you would need to save at least $2.80 a day, just take the total (19.60) and divide it by the number of days you have till its due, in this case a week (7 days) than divide. 19.20/7= 2.8

Answer:

4(x+4)

Step-by-step explanation:

Factor 4x+16

4x+16

=4(x+4)

True....

it's a polynomial.

Answer:

64.8 in

Step-by-step explanation:

The pipe is 324 in and you cut in in two. Since we know that one piece is five times the length of the other, we can make the equation  324=5x. Divide both sides by five gets us 64.8 = x.

To check our work, let's multiply 64.8 by 5. It does equal 324 so we are correct.

Answer: 13.64%

Step-by-step explanation:

Alyssa estimates that the gym can hold 660 students even though it can hold 750.

Her percent error is calculated by:

= (Actual seats - Estimated seats) / Estimated seats

= (750 - 660) / 660

= 90 / 660

= 0.1364

= 13.64%

Answer:

153

Step-by-step explanation:

The relationship in the row is below

4³ +2³ +1³ =64 + 8 +1 = 72

1³ + 2³ +6³= 1 + 8 + 216

3³ + 1³ + 5³ = 27 +1 +125 = 153

All numbers below the first level are raised to power 3 and added together

Answer:

7.95 * 2 + 5.00 + 10

Step-by-step explanation:

Answer: p = 8750 kg·m/s

Step-by-step explanation:

Answer:

Its point A. Or 4,5 or -4,5

Step-by-step explanation:

The result of the division of the number by 100 gives 3.05109 in decimal.

A decimal is really a number that is divided into two parts: another whole and a fraction.

For the given number.

= 305.109 ÷ 100

Then point will shift to 2 decimals towards left.

= 3.05109

Thus, the result of the division of the number by 100 gives 3.05109 in decimal.

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Answer:

250 people

Step-by-step explanation:

let's first look for the missing 20%,

one way you can solve this is by cross multiplication:

since 80% is 200 then 80% = 200

and we know 20% is x then 20% = x (we use x because we don't know the amount of people)

so then we set it up:

\(\frac{x}{20}\) × \(\frac{200}{80}\)

now we cross multiply:

80x = 4000

= x = 50

now we need to find how many people were surveyed so we do:

200 + 50 = 250

250 people were surveyed

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

1km

Step-by-step explanation:

radius is half the diameter

diameter is double the radius

Answer:

1km

Step-by-step explanation:

diameter: the whole circle

diameter formula: d=2r

radius: half of the circle

Just remember to divide the diameter by two to get the radius

*extra bonus thing* circumference: πd

r=radius

d=diameter

π=3.14

may sound complicated but its just dividing and multiplying.

Hope this helped.

a) The probability that Z lies between -1.05 and 1.76 is 0.8664 to 4 decimal places.

b) The probability that Z is less than -1.05 or greater than 1.76 is 0.1588 to 4 decimal places.

c) The value of Z, where only 1.7% of all possible Z values are larger than it, is 1.41 to 2 decimal places.

a) To find the probability that Z lies between -1.05 and 1.76, we need to find the area under the standard normal distribution curve between these two values. By using the standard normal distribution table, we can find the corresponding probabilities for each value and subtract them. The probability is calculated as 0.8664.

b) The probability that Z is less than -1.05 or greater than 1.76 can be found by calculating the sum of the probabilities of Z being less than -1.05 and Z being greater than 1.76. Using the standard normal distribution table, we find the probabilities for each value and add them together. The probability is calculated as 0.1588.

c) If only 1.7% of all possible Z values are larger than a certain Z value, we need to find the Z value corresponding to the 98.3rd percentile (100% - 1.7%). Using the standard normal distribution table, we can look up the value closest to 98.3% and find the corresponding Z value. The Z value is calculated as 1.41.

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Answer:

see explanation

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , then

A (- 5, - 8 ) → A' (5, 8 )

B (2, - 3 ) → B' (- 2, 3 )

C (- 2, 9 ) → C' (2, - 9 )

Constructing a confidence interval for the mean of a distribution based on one sample is Confidence level = 1 - significance level.

The definition of the confidence level is (1-α). Zα is the number of standard deviations from the mean at which X with a certain probability lies. If Z = 1.96 is selected, the likelihood that the real mean falls inside the range is set at 0.95, hence we are asking for the 95% confidence interval.

Let us consider,

Confidence level = c

significance level \(= \alpha\)

\(c = 1 - \alpha\)

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Answer:

1

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

6-(-4)/7-(-3)

10/10

1

Best of Luck!

Main Answer:The points on the given curve where the tangent line is horizontal are (8, 0), (-8, π), (8, 2π), (-8, 3π), and so on and the Vertical tangent  are (0, π/2), (0, 3π/2), (0, 5π/2),so on.

Supporting Question and Answer:

How do we find points on a curve where the tangent line is horizontal or vertical?

To find points on a curve where the tangent line is horizontal or vertical, we need to determine the values of θ (or any parameter) that correspond to those points. This can be done by analyzing the derivatives of the curve equation and identifying the conditions under which the derivative is zero or undefined. Horizontal tangent lines occur when the derivative with respect to θ is zero, while vertical tangent lines occur when the derivative with respect to r is undefined or infinite.

Body of the Solution:To find the points on the curve r = 8 cos θ where the tangent line is horizontal or vertical, we need to determine the values of θ that correspond to those points.

  Differentiating r = 8 cos θ with respect to θ, we get:

dr/dθ = -8 sin θ

Setting dr/dθ = 0, we have:

-8 sin θ = 0

Since sin θ = 0 when θ is an integer multiple of π, the values of θ that give a horizontal tangent line are: θ = 0, π, 2π, 3π, ...

For each value of θ, we can find the corresponding value of r by substituting it back into the equation r = 8 cos θ.

   Differentiating r = 8 cos θ with respect to r, we get:

dθ/dr = -1 / (8 sin θ)

For a vertical tangent line, sin θ must be equal to zero, which occurs when θ is an integer multiple of π.

Therefore, the values of θ that give a vertical tangent line are: θ = π/2, 3π/2, 5π/2, ...

Again, for each value of θ, we can find the corresponding value of r by substituting it into the equation r = 8 cos θ.

Combining the values of θ and their corresponding values of r, we have: Horizontal tangent: (8, 0), (-8, π), (8, 2π), (-8, 3π), ... Vertical tangent: (0, π/2), (0, 3π/2), (0, 5π/2), ...

Final Answer:Thus, the points on the given curve where the tangent line is horizontal are (8, 0), (-8, π), (8, 2π), (-8, 3π), and so on, while the points where the tangent line is vertical are (0, π/2), (0, 3π/2), (0, 5π/2), and so on.

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The points on the given curve where the tangent line is horizontal are (8, 0), (-8, π), (8, 2π), (-8, 3π), and so on and the Vertical tangent  are (0, π/2), (0, 3π/2), (0, 5π/2),so on.

To find points on a curve where the tangent line is horizontal or vertical, we need to determine the values of θ (or any parameter) that correspond to those points. This can be done by analyzing the derivatives of the curve equation and identifying the conditions under which the derivative is zero or undefined. Horizontal tangent lines occur when the derivative with respect to θ is zero, while vertical tangent lines occur when the derivative with respect to r is undefined or infinite.

To find the points on the curve r = 8 cos θ where the tangent line is horizontal or vertical, we need to determine the values of θ that correspond to those points.

Horizontal tangent line: A horizontal tangent line occurs when the derivative of r with respect to θ is equal to zero.

 Differentiating r = 8 cos θ with respect to θ, we get:

dr/dθ = -8 sin θ

Setting dr/dθ = 0, we have:

-8 sin θ = 0

Since sin θ = 0 when θ is an integer multiple of π, the values of θ that give a horizontal tangent line are: θ = 0, π, 2π, 3π, ...

For each value of θ, we can find the corresponding value of r by substituting it back into the equation r = 8 cos θ.

Vertical tangent line: A vertical tangent line occurs when the derivative of θ with respect to r is undefined or infinite.

  Differentiating r = 8 cos θ with respect to r, we get:

dθ/dr = -1 / (8 sin θ)

For a vertical tangent line, sin θ must be equal to zero, which occurs when θ is an integer multiple of π.

Therefore, the values of θ that give a vertical tangent line are: θ = π/2, 3π/2, 5π/2, ...

Again, for each value of θ, we can find the corresponding value of r by substituting it into the equation r = 8 cos θ.

Combining the values of θ and their corresponding values of r, we have: Horizontal tangent: (8, 0), (-8, π), (8, 2π), (-8, 3π), ... Vertical tangent: (0, π/2), (0, 3π/2), (0, 5π/2), ...

Thus, the points on the given curve where the tangent line is horizontal are (8, 0), (-8, π), (8, 2π), (-8, 3π), and so on, while the points where the tangent line is vertical are (0, π/2), (0, 3π/2), (0, 5π/2), and so on.

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Answer:

1. 12x² - 7x - 10

2. 10x² + 31x - 14

3. 3x² - xy - 9x + 4y - 12

4. 16y^4 - 1

5. 24x² - 21x - 3

6. -2m² - 2m + 12

7. 15d² - 31d - 12

8. 12x³ + 5x² - 2x

9. 6t² - 20t - 26

10. 48a² - 12b²

Step-by-step explanation:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)

Triangle pairs are similar polygons if they have the same shape but not necessarily the same size. In order for two triangles to be similar, they must satisfy the following conditions:

They must have the same angles. This means that the measures of the angles in one triangle must be the same as the measures of the corresponding angles in the other triangle.

The lengths of the sides must be in the same ratio. This means that if you divide the lengths of the corresponding sides of one triangle by the lengths of the corresponding sides of the other triangle, you must get the same ratio for all pairs of sides.

For example, if triangle ABC is similar to triangle DEF, the ratios of AB/DE, AC/DF, and BC/EF must all be the same.

To determine if two triangles are similar, you can use one of several theorems and postulates, such as the Side-Side-Side (SSS) Similarity Theorem, the Side-Angle-Side (SAS) Similarity Theorem, or the Angle-Angle (AA) Similarity Postulate. These theorems and postulates provide different sets of conditions that must be satisfied in order for two triangles to be similar.

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The history threat is never relevant to a repeated-measures design.

The threat to internal validity that is never relevant to a repeated-measures design is the history threat.
In a repeated-measures design, the same participants are measured multiple times under different conditions or treatments. This design eliminates the need for random assignment of participants to different groups, as each participant serves as their own control.
The history threat refers to external events or influences that occur during the course of an experiment and can affect the results. For example, if a study on the effects of a new teaching method is conducted over a semester, a history threat could be the introduction of a new curriculum that all students receive halfway through the study. This external event could confound the results and make it difficult to determine if the observed changes are due to the teaching method or the new curriculum.
However, in a repeated-measures design, the participants serve as their own control, and any external events or influences that occur will affect all conditions or treatments equally. This means that any history threat is the same across all measurements, making it irrelevant to the design.
Therefore, the history threat is never relevant to a repeated-measures design.

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If the number were written in scientific notation, the exponent will be -2.

Scientific notation is a method of expressing numbers that are either too large or too little to be represented in decimal form. In the United Kingdom, it is known as scientific form, standard index form, or standard form.

The number of times a number is multiplied by itself is referred to as its exponent.

In this case, the mass of a textbook is approximately 0.0165 metric tons. It should be noted that this will be 1.65 × 10^-2. The exponent is -2.

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False. The quotient rule is a method for finding the derivative of a function that can be expressed as the ratio of two other functions.

The rule states that the derivative of such a function is equal to the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the denominator squared.
While the quotient rule is a useful tool for finding derivatives, it is important to note that it does not guarantee that the derivative exists for all values of x. There are functions for which the quotient rule may not apply, and there may be values of x for which the derivative does not exist.
For example, consider the function f(x) = sin(x)/x. This function can be expressed as a ratio of two functions, so we can apply the quotient rule to find its derivative. Using the rule, we get:
f'(x) = (x cos(x) - sin(x))/x^2
However, if we try to evaluate this derivative at x = 0, we run into a problem. The denominator of the derivative becomes zero, which means the derivative does not exist at that point.
In general, it is important to remember that while the quotient rule can be a useful tool for finding derivatives, it is not a guarantee that the derivative exists for all values of x. Each function must be evaluated individually to determine the existence and value of its derivative.

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Answer:

222

Step-by-step explanation:

Hey there!

250 - {(135 + 34) ÷ (46 - 33)} - 15 

= 250 - 169/(46 - 44) - 15

= 250 - 169/13 - 15

= 250 - 13 - 15

= 237 - 15

= 222

Therefore, your answer should be:

222

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The given exponential function will grow at 7.1%

We have to given that;

The exponential function is,

⇒ y = 25 (1.071)ˣ

Now, For identify whether the change represents growth or decay, and to determine the percentage rate of increase or decrease.

Since, We have,

⇒ y = 25 (1.071)ˣ

Here, The equation represents exponential growth because the growth factor is 1.071 which is greater than 1.

Since, The general form equation is:

⇒ y(x) = a(1 + r)ˣ

such that r is the growth percent.

Hence,

⇒ 1 + r = 1.071

⇒ r = 0.071 = 7.1%

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Answer:

B: Acute

Please make me brainiest

Answer:

B) ∠B

Step-by-step explanation:

We'll name the given acute angle as either ∠ABC or ∠B. This is because, 'B' is the vertex of the given angle, i.e., AB & AC share the same common point → 'B'. Hence, ∠B is the correct option.

Hope it helps ⚜

5x10^-10 is the answer

Answer:

d

Step-by-step explanation:

We just need to use the formula:

c = 3.14(r)²

So we can insert the radius here

c = 3.14(7)²

c = 3.14(49)

c = 153.86

So your answer is d.