Looking at the spread of your data best fits which step of the statistical process?

Answer:

(-4,-7)

(4,7)

(-4,-5)

(1,-1)

Step-by-step explanation:

Plato answer.

Answer: -4 -7 then 4, 7 then -4, 5 lastly 1, -1

Step-by-step explanation: I took the test.

To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.

Starting with sec²θ(1 - cos²θ):

Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:

(1 + tan²θ)(1 - cos²θ)

= 1 - cos²θ + tan²θ - cos²θtan²θ

= 1 - cos²θ(1 - tan²θ)

= sin²θ

Thus, the equation simplifies to sin²θ, which is a trigonometric identity.

For cosx(secx - cosx) = sin²x:

Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:

cosx(1/cosx - cosx)

= cosx/cosx - cos²x

= 1 - cos²x

= sin²x

Hence, the equation simplifies to sin²x, which is a trigonometric identity.

Considering cosθ + sinθtanθ = secθ:

Dividing both sides of the equation by cosθ, we obtain:

1 + sinθ/cosθ = 1/cosθ

Using the identity tanθ = sinθ/cosθ, the equation becomes:

1 + tanθ = secθ

This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.

Simplifying (1 - cos∝)(cosec∝ + cot∝):

Expanding the expression, we have:

cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝

= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝

= cot∝(1 - cos∝) + cosec∝(1 - cos∝)

= cot∝tan∝ + cosec∝sec∝

= 1 + 1

= 2

Thus, the equation simplifies to 2, which is a constant value.

In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.

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Answer:

30.33

Step-by-step explanation:

33.70 x .10= 3.37 (discount)

33.70 - 3.37= 30.33

The series is convergent.

To determine whether the series ∑(k=7 to infinity) (\(3 / (k-1)^2 - 3 / k^2\)) is convergent or divergent, we can simplify the expression and examine its behavior.

We can rewrite the series as follows:

∑(k=7 to infinity) (\(3 / (k-1)^2 - 3 / k^2\)) = ∑(k=7 to infinity) (\(3(k^2 - (k-1)^2)\)) / (\(k^2(k-1)^2\))

Simplifying further:

= ∑(k=7 to infinity) (6k - 3) / \((k^2(k-1)^2)\)

Now, let's analyze the behavior of the individual terms. The numerator (6k - 3) increases linearly with k, while the denominator \((k^2(k-1)^2)\) grows quadratically.

As k approaches infinity, the quadratic growth of the denominator dominates over the linear growth of the numerator. Therefore, the individual terms approach zero as k tends to infinity.

Since the terms of the series approach zero, the series is convergent by the limit comparison test, as it can be compared to a convergent p-series with p = 2.

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Answer:

A) . 5(20+4)5(20+4)

Step-by-step explanation:

5(20+4)5(20+4)

5(24) ×5(24)

120 × 120

14400

Answer:

1 hour = 1.7 miles / 1.5 hours = ? Miles

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

Step-by-step explanation:

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

Answer:

5: 52 m

6: 600 inches

7: 352 yards

8: 43 cm

Step-by-step explanation:

5: 5x5=25. 4x3/2=6. 5x3=15. 4x3/2=6

25+6+15+6=52

6: It is a cube that has 10 length sides. Each side's area is 10x10=100

There are 6 sides, so 6x100=600

7: Top and bottom: 8x8=64 (There are 2, one is top, one is bottom)

Sides (4 of them): 7x8=56

2(64)+4(56)=

128+224=

352

8: 4x3=12. 5x3/2=7.5. 5x3/2=7.5. 4x4=16.

12+7.5+7.5+16=

43 cm

Pls mark me brainliest if it helps :), have a very nice day/night!

Answer:

1. 254

2.100.8

Step-by-step explanation:

You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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The population mean is equal to 80 for the mean of a sampling distribution of sample means with n=49, and the standard deviation is equal to 1/√(n).

The standard deviation is a statistician's gauge of a group of values' degree of dispersion or variation. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the expected value) of the set.With a sample size of 49, the mean of a sampling distribution of sample means is equal to the population mean of 801.

With a sample size of n=49, the standard deviation of a sampling distribution of sample means is identical.

n=49 is equal to σ/√(n)

= 7/√(49) = 1¹

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The sample in this study is option A: The first 25 birds in each section of the forest.

Ornithology is the scientific study of birds and it evolved in Europe during late 16th century as humans were always fascinated by birds and their natural history. Indian ornithology is over 300 years old.

Ornithology is the scientific study of birds. It includes all types of birds—from tiny hummingbirds to large, flightless ostriches.

Bird species populate a forest. Each species' population size in the forest must be estimated by researchers performing the study.  They divide the forest into equal sections and then record the species of the first 25 birds they see in each section.

The sample in this study is option A: The first 25 birds in each section of the forest.

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Answer:

1/6

Step-by-step explanation:

Given the function

f(x)=x^3+x^2+x

Get the inverse. Let y = f(x)

y = x^3+x^2+x

Replace y with x

x = y³+y²+y

Differentiate with respect to x

1 =3y²dy/dx + 2ydy/dx + dy/dx

1 = (3y²+2y+1)dy/dx

dy/dx = 1/3y²+2y+1

g'(x) = 1/3(g(x))²+2g(x)+1

If x = 3

g'(3) = 1/3(g(3))²+2g(3)+1

g'(3) =1/3(1)²+2(1)+1

g'(3) = 1/3+2+1

g'(3) = 1/6

Hence g'(3) = 1/6

Answer:

See below.

Step-by-step explanation:

To change a fraction into a percent, divide the numerator by the denominator and multiply by 100%.

For example:

Example 1)

Change 1/2 into a percent.

1/2 = 0.5

0.5 * 100% = 50%

1/2 = 50%

Example 2)

Change 13/16 into a percent.

13/16 = 0.8125

0.8125 * 100% = 81.25%

13/16 = 81.25%

Answer:

18 ° and 72 °

Step-by-step explanation:

Let one of the angles measure x°

Then , the other angle = (90 - x)              (Since they are complementary)

∴ 3x          = \(\frac{90-x}{2}+18\)

⇒ 3x - 18  = \(\frac{90-x}{2}\)

⇒2(3x-18) = \(2(\frac{90-x}{2})\)

⇒6x - 36 = 90 - x

⇒ 7x       = 126

⇒ x         = 18

So, One Angle = x° = 18°

And, the other angle = 90 - x° = 90 - 18° = 72°

Answer:

There is nothing  to multiply.

Include the problem please

Answer:

y = -2x + 4

Step-by-step explanation:

y / 4  = x - 2 / -2

-2y = 4(x - 2)

-y = 2(x - 2)

-y = 2x - 4

y = -2x + 4

»(y + 0)/4 = (x - 2)/(0 - 2)

»y/4 = (x - 2)/(-2)

»-2y = 4(x - 2)

»-2y = 4x - 8

»y = -4x - 8/(-2)

»y = -2x + 4✅

Answer:

see explanation

Step-by-step explanation:

(a + b)(a - b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a - b) + b(a - b) ← distribute parenthesis

= a² - ab + ab - b² ← collect like terms

= a² - b²

This is a standard algebraic identity, called the difference of squares

Answer:

(C) multiplication property of equality

Step-by-step explanation:

Answer: C. multiplication property of equality

Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!!

Answer:

\(\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36} = \frac{1}{12}\)

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                                \(\displaystyle \lim_{x \to c} x = c\)

Special Limit Rule [L’Hopital’s Rule]:                                                                       \(\displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)}\)

Differentiation

Derivative Property [Addition/Subtraction]:                                                        \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)

Derivative Rule [Basic Power Rule]:

Step-by-step explanation:

Step 1: Define

Identify.

\(\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36}\)

Step 2: Find Limit Pt. 1

We see that we get 0 divided by 0, an indeterminate form.

Step 3: Find Limit Pt. 2

Use L'Hopital's Rule.

∴ the limit as x approaches 36 of the given function is equal to one-twelfths.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

We are given with a limit and we need to find it's value , but first recall the identity which is the main key to this question :

Now , consider the limit we have ;

\({:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{\sqrt{x}-6}{x-36}}\)

Let's try direct substitution first ;

\({:\implies \quad \displaystyle \sf \dfrac{\sqrt{36}-6}{36-36}}\)

\({:\implies \quad \displaystyle \sf \dfrac{6-6}{0}=\dfrac00}\)

Here , we get an indeterminate form , so direct substitution didn't worked. So , consider again :

\({:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{\sqrt{x}-6}{x-36}}\)

Can be further written as ;

\({:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{\sqrt{x}-6}{(\sqrt{x})^{2}-6^{2}}}\)

Using the above identity we have ;

\({:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{(\sqrt{x}-6)}{(\sqrt{x}-6)(\sqrt{x}+6)}}\)

\({:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{\cancel{(\sqrt{x}-6)}}{\cancel{(\sqrt{x}-6)}(\sqrt{x}+6)}}\)

\({:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{1}{\sqrt{x}+6}}\)

Now , put the limit

\({:\implies \quad \displaystyle \sf \dfrac{1}{\sqrt{36}+6}}\)

\({:\implies \quad \displaystyle \sf \dfrac{1}{6+6}}\)

\({:\implies \quad \displaystyle \sf \dfrac{1}{12}}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{\displaystyle \bf \lim_{x\to 36}\dfrac{\sqrt{x}-6}{x-36}=\dfrac{1}{12}}}}\)

Answer:

-11

Step-by-step explanation:

1331 is a perfect cube, so you just cube root it and add a negative

False. The bandwagon fallacy is when someone believes that an argument is valid because most people believe it to be true.

The idea is that since everyone believes it, then it must be true. It is also called an argument from popularity, argumentum ad populum, appeal to the masses, appeal to belief, and consensus fallacy.The fallacy occurs when one claims that an idea is true or false because many other people believe it to be so.

The fallacy works because humans are social animals and they tend to believe things that others believe. Therefore, when people see that many others believe in an idea, they are more likely to accept it as true without giving much thought to whether it is actually true or not. The bandwagon fallacy is a logical error because the truth of an idea does not depend on how many people believe it.

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Answer:

8x-4

Step-by-step explanation:

(3x-5)+(5x+1)

=3x-5+5x+1

=8x-4

Answer:

\((B) a=\dfrac{T-b-c-d}{4}\)

Step-by-step explanation:

Let the points for the three local matches be b, c, and d.

Let a be the number of points at the district match.

Since district match points count for four times the number of points than local matches do.

Total Points, T=4a+b+c+d

Next, we make 'a' the subject of the formula.

\(T=4a+b+c+d\\4a=T-b-c-d\\$Divide both sides by 4$\\a=\dfrac{T-b-c-d}{4}\)

The correct option is B.

Answer:

B.  a equals T minus b minus c minus d all over 4

Step-by-step explanation:

Good luck! Hope this helped :)

Answer:

Not true

Step-by-step explanation:

Absolute value describes the positive distance from 0. Since |3| = 3, then |3| is not greater than 4.

Answer:

Simple random sampling

Step-by-step explanation:

Luke wants to study average minutes students read each night. For that matter, he has selected a 'sample' of 25 students from entire 'population' of students in school.

He has selected the sample students randomly, for collecting data related to minutes of study each night. He also collects data from them directly ie with primary contact with them.

So, primary data collection, simple random sampling - has been used as a type of data collection.

The possible change in volume that results from the error in measuring the radius is 32. 06 millimeters

It is important to note that the formula for volume of a sphere is expressed by;

Volume = 4/3 πr³

Given that;

Based on the information given, we have the measure of the radius to be 5 mm, with a possible measurement error of 0.1 mm

The original value of radius  = 5mm

Radius after the measurement error = 5 + 0. 1 = 5. 01mm

Let's substitute the values into the formula

Volume = 4/ 3 (3.14)(5)³

We then expand the bracket

Volume = 4/ 3 (392.5)

Volume = 523. 3 cubic millimeters

For radius of the measurement error = 5.01mm

Volume =  4/ 3 (3.14)(5.1)³

Then, expand the bracket

Volume = 4/3 (416.52)

Volume = 555. 4 cubic millimeters

Change in volume = 555. 4 - 523. 3 = 32. 06 cubic millimeters

Hence, the change in volume is given as 32. 06 cubic millimeters

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For the the linear transformation T by T(x)=Ax,

ker(T) = span{(-3, 1)}, nullity(T) = 1, range(T) = span{[5, 1, 1], [-3, 1, -1]}, and rank(T) = 2.

1. To find the kernel (null space) of T, we need to find all vectors x such that Ax = 0, where 0 is the zero vector.

So we solve the equation:

Ax = 0

Using row reduction:

[[5, -3, 0], [1, 1, 0], [1, -1, 0]] ~ [[1, 0, 3], [0, 1, -1], [0, 0, 0]]

The solution is x = (-3t, t) for some scalar t.

So, the kernel of T is the set of all scalar multiples of the vector (-3, 1).

ker(T) = span{(-3, 1)}

2. The nullity of T is the dimension of the kernel, which is 1.

3. To find the range (image) of T, we need to find all possible vectors Ax as x varies over all of R^2.

Since A is a 3x2 matrix, we can write Ax as a linear combination of the columns of A:

Ax = x1 [5, 1, 1] + x2 [-3, 1, -1]

where x1 and x2 are scalars.

So the range of T is the span of the columns of A:

range(T) = span{[5, 1, 1], [-3, 1, -1]}

4. To find the rank of T, we need to find a basis for the range of T and count the number of vectors in the basis.

We can use the columns of A that form a basis for the range:

basis for range(T) = {[5, 1, 1], [-3, 1, -1]}

So the rank of T is 2.

Therefore, ker(T) = span{(-3, 1)}, nullity(T) = 1, range(T) = span{[5, 1, 1], [-3, 1, -1]}, and rank(T) = 2.

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The length of the rectangle is 5 units, given that the area is 25 square units and the width is 5 units.

The length of the rectangle, we can use the formula for the area of a rectangle: A = length × width.

That the area (A) is 25 and the width (W) is 5, we can substitute these values into the formula:

25 = length × 5

Solve for the length, we can divide both sides of the equation by 5:

25/5 = length × 5/5

5 = length

The length of the rectangle is 5.

The length of a rectangle can be determined by dividing the given area by the width. In this case, with an area of 25 square units and a width of 5 units, the length of the rectangle is 5 units.

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Answer:

x + 155 = 180

Step-by-step explanation:

Those angles are supplementary meaning that the sum of them equal 180

2+153=153

so x+155=180 is your answer

Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Answer:

Rational numbers like -5/3, 8/11, 2/5, etc. are not integers as they don't simplify to give us a whole number.

~Hope this helps! :)