while a(n) – includes a manipulated independent variable in order to see the change in a dependent variable, a(n) – includes an independent variable that cannot truly be manipulated by the experimenter. because participants cannot be randomly assigned to levels of the independent variable, this type of research has – .

The terms of the expression are ab, cd, ef and gh. This shpws that the expression contains 4 terms and 0 factor.

Expression consists of terms and factors. The terms are separated by the mathematical signs.

Given the expression below

ab+cd+ef+gh

The terms of the expression are ab, cd, ef and gh. This shpws that the expression contains 4 terms and 0 factor.

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Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

k = −1

Answer:

-1

Step-by-step explanation:

-25+7 -6=6k+18k

-24=24k

k=-1

Answer:b

Step-by-step explanation:

Answer:

p(x)=(x)(x-2)(x-4)

Step-by-step explanation:

One way to factor function p is by grouping.

p(x)=x^3-2x^2-4x^2+8x           (Group the terms)

=(x^3-2x^2)+(-4x^2+8x)           (Factor each group separately)

=x^2(x-2)-4x(x-2)                      (Factor x-2 from each term.)

=x(x-4)(x-2)

Factors of given polynomial function \(x(x-4)(x-2)\)

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.

Given polynomial function

\(p(x)=x^{3}-2x^{2} -4x^{2} +8x\)

Group the terms

= \((x^{3} -2x^{2} )+(-4x^{2} +8x)\)

Factor each group separately

= \(x^{2} (x-2)-4x(x-2)\)

Factor \(x-2\) from each term

= \((x^{2} -4x)(x-2)\)

Factor \(x\) from \(x^{2} -4x\)

= \(x(x-4)(x-2)\)

Factors of given polynomial function \(x(x-4)(x-2)\).

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Answer:

i wuv you

Step-by-step explanation:

The answer would be four times.

Step-by-step explanation:

4×1=4

By using a table of a random number in this manner, you can simulate the number of correct answers Jason might get on a 10-question multiple-choice exam with 5 choices for each question.

To perform a simulation using a table of random digits to determine the number of correct answers Jason gets on a 10-question multiple-choice exam, follow these steps:

1. Assign each answer choice a digit from 0 to 4. For example, A=0, B=1, C=2, D=3, and E=4.

2. Determine the correct answers for each question and note down the corresponding digits. For example, if the correct answers are A, B, C, D, and E for the first five questions, the correct answer digits would be 0, 1, 2, 3, and 4.

3. Select a starting point in the table of random digits. You can choose any point, as long as you use a consistent method to move through the table.

4. For each question, compare the random digit in the table to the correct answer digit. If the digits match, that means Jason guessed the answer correctly.

5. Move to the next random digit in the table for the next question, until you have simulated all 10 questions.

6. Count the number of correct answers based on matching digits and record the result.

7. Repeat steps 3 to 6 multiple times to get a more accurate estimate of Jason's expected number of correct answers. You can use different starting points in the table for each repetition.

8. Calculate the average number of correct answers from all the repetitions to estimate Jason's performance when guessing the answers.

By using a table of a random number in this manner, you can simulate the number of correct answers Jason might get on a 10-question multiple-choice exam with 5 choices for each question.

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Answer: 15) 97

16) 16

17) 24

Step-by-step explanation:

15) (x-75) + (x-52)+ 293=360

x - 75 + x - 52 + 293 = 360

2x - 127 + 293 = 360

2x + 166 = 360

        2x  = 194           [Subtract 166 from both side]

          x  = 97             [Divide by 2 from both side]

16) (4x+15)+(5+6x)=180         The angle of a straight line is 180.

4x + 15 + 5 + 6x = 180

10x + 20 = 180

        10x = 160            [Subtract 20 from both side]

            x = 16               [Divide by 10 from both side]

17) (x+17)+(2x+1)= 90               These two angle combined equal to 90.

x + 17 + 2x + 1 = 90

3x + 18 = 90          

3x = 72                         [Subtract 18 from both side]

x = 24                           [Divide by 3 from both side]

When using Chebyshev's Theorem, the minimum percentage of sample observations that will fall within two standard deviations of the mean will be smaller than the percentage within two standard deviations if a normal distribution is assumed (Empirical Rule).


1. Chebyshev's Theorem states that for any dataset, at least (1 - 1/k^2) of the data will fall within k standard deviations of the mean, where k is a positive integer greater than 1.
2. In this case, k = 2, so using Chebyshev's Theorem, at least (1 - 1/2^2) = (1 - 1/4) = 3/4, or 75% of the data will fall within two standard deviations of the mean.
3. On the other hand, the Empirical Rule states that, for a normal distribution, approximately 95% of the data falls within two standard deviations of the mean.
4. Therefore, the minimum percentage using Chebyshev's Theorem (75%) is smaller than the percentage under the Empirical Rule (95%).

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The depth of the water increasing when the water is 13 feet deep is approximately 1.68 feet per minutes.

We know that the conical water tank has a radius of 12 feet and is 26 feet high.

We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:

                                   \(\frac{dV}{dt} = \frac{10 ft^3}{min}\)

We want to find how fast the depth of the water is increasing when the water is 13 feet deep. So, we want to find dh/ dt.

First, remember that the volume for a cone is given by the formula:

                V = 1/3 π r² h    

We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.

We can see that we have two similar triangles. So, we can write the following proportion:

         \(\frac{r}{h} = \frac{12}{36}\)

Multiply both sides by h:

    ⇒ \(r = \frac{12}{36} h\)

So, let's substitute this in r:

\(V = \frac{1}{3} \pi \frac{12}{36} h^{2} h\)

Square:

\(V = \frac{1}{3} \pi \frac{144}{3888} (h^{2} ) h\)

Simplify:

\(V = \frac{144}{3888} \pi h^{2}\)

Now, let's take the derivative of both sides with respect to t:

\(\frac{d}{dt} (V) = \frac{d}{dt} [\frac{144}{3888} ] \pi h^{3}\)

Simplify:

\(\frac{dV}{dt} =\frac{144}{3888} \pi (3h^{2} ) \frac{dh}{dt}\)

We want to find dh/dt when the water is 13 feet deep. So, let's substitute 13 for h. Also, let's substitute 10 for dV/dt. This yields:

\(10 = \frac{144}{3888} \pi (3(13^{2} ) \frac{dh}{dt}\)

\(10 = \frac{144}{3888} \pi (507) \frac{dh}{dt}\)

\(10 = \frac{73008}{3888} \pi \frac{dh}{dt}\)

\(38880 = 73008 \pi \frac{dh}{dt}\)

\(\frac{dh}{dt} = \frac{38880}{73008} \pi\)

\(\frac{dh}{dt} = \frac{38880}{73008} X\frac{22}{7}\)

≈ 1.6737109 feet / min

The water is rising at a rate of approximately 1.68 feet per minute.

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Answer:

203 ft.

Step-by-step explanation:

Since we are given the measurements of two sides, we can use trig to find the angle (or our reference angle, we'll call it x) the sides form.

SOH-CAH-TOA

We'll use cosine since the adjacent and hypotenuse were given for our reference angle.

Cos(x) = (adj/hyp)

Cos(x) = (396/445)

[Cos(x)]cos^-1 = (396/445)(cos^-1)

x ≈ 27.1409 (Nearest ten-thousandth)

And now we find the missing side using our now known angle.

SOH-CAH-TOA

Tan(x) = (opp/adj)

Tan(27.1409) = (opp/396)

0.5126 ≈ (opp/396)

(0.5126)(396) ≈ (opp/396)(396)

Opp = 203

Missing Side = 203 ft

The sample size is enough because both np and n(1 - p)  are greater than 10.

Given,

Number of people using a computer in US = 81

Sample size, n = 36

Number of hours people use computer in a week = more than 20 hours

We have to find that the given sample size is enough to compute a confidence interval.

For that we have to find np and n(1 - p) first.

Here,

n = 36

p = 20

Then,

np = 36 x 20 = 720

n(1 - p) = 36 x (1 - 20) = 36 x 19 = 684

That is,

The sample size is enough because both np and n(1 - p)  are greater than 10.

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The given question is incomplete. Completed question is given below;

A study was conducted in order to estimate the proportion of U.S. adults that use a computer at home more than 20 hours a week. Suppose 36 out of a random sample of 81 adults use a computer at home more than 20 hours a week.

Answer:

9 is the most highest frequency and the third one is the answer

Your investment of $10000 compounded continuously at 6% p.a. would be worth $14,366.00 after 6 years.

If you invest $10000 compounded continuously at 6% p.a., the formula for calculating the value of your investment after 6 years would be:

A = Pe^(rt)

Where A is the final amount, P is the principal investment amount, e is Euler's number (approximately 2.718), r is the interest rate (in decimal form), and t is the time period (in years).

Plugging in the given values, we get:

A = 10000e^(0.06*6)

A = 10000e^(0.36)

A = 10000*1.4366

A = $14,366.00

Therefore, your investment of $10000 compounded continuously at 6% p.a. would be worth $14,366.00 after 6 years.

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The determinant of A is 1.

The plural version of the word matrix is a matrix, which refers to the arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns. These arrays have a rectangular shape, and several operations like addition, multiplication, and transposition are specified for them.

The components of the matrix are referred to as its entries or numbers. Vertical and horizontal entries in matrices are referred to as columns and rows, respectively.

A matrix with m rows and n columns will contain m n entries. The uppercase letter 'A', which here stands for "matrix," Aij.

We can compute the determinant of the 2x2 matrix A =

| 1 0 |

| 1 1 |

by expanding along the first column since it involves the least amount of computation:

| 1 0 |

| 1 1 |

det(A) = 1 * |1 1| - 0 * |1 1|

= 1

So, the determinant of A is 1.

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Complete question:

Compute the determinant by cofactor expansion. At each? step, choose a row or column that involves the least amount of computation.

Therefore, Penelope has to paint approximately 122.72 in² on the circular canvas.

Several commonplace items exhibit circular motion, such as windmill blades, rotating car wheels, rotating gas turbine gears, and spinning ceiling fans. A second type is a man-made satellite that circles the globe.

The diameter of the circular canvas is 12.5 inches.

The radius of the circle is half of the diameter:

r = 12.5 / 2 = 6.25 inches

The area of a circle is given by the formula:

A = πr²

where π (pi) is a constant approximately equal to 3.14.

Substituting the value of r, we get:

A = 3.14 x 6.25²

A = 122.72 in². (rounded to two decimal places)

Therefore, Penelope has to paint approximately 122.72 in² on the circular canvas.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer: look at the image for the answer and explanation

Step-by-step explanation:

Yes, there is evidence to suggest that the average diameter is greater than 2.30 cm.

To perform a hypothesis test for the population mean at alpha, use a two-tailed t-test. Assume the null hypothesis is that the average is equal to 2.30 cm and the alternative hypothesis is that the average is greater than 2.30 cm. Calculate the test statistic and then compare it to the critical value.

If the test statistic is greater than the critical value, then you can reject the null hypothesis and conclude that the average is greater than 2.30 cm.

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Answer:

15

Step-by-step explanation:

let's begin by find our variables!

in this case June= x, July = y, and August = z

now that we found our variables let make an equation

x + y + z = 40

we know that x (June)= 12 y (July)= 13 so let's plug that, in place of the variables

12 + 13 + z = 40

Combine like terms

25 + z = 40

Subtract 25 out of 25 and out of 40

25 - 25 + z = 40 - 25

z= 15

now let's plug in all our variable values x = 12; y = 13; z = 15

12 + 13 + 15 = 40 ✓

Answer:

Is it not 21/26?

Step-by-step explanation:

26 letters in the Alphabet

5 vowels

26-5=21

21 chances out of 26 to not get a vowel

I'm not really positive on my answer either, I'm sorry if it's wrong.

Answer:

B

Step-by-step explanation:

8/5=1.6

We can write the complete factored form of 7x²y³ + 56x³y² as

7x²y {y² + 8x³}.

Given is to factor the expression as -

7x²y³ + 56x³y²

The given expression is -

7x²y³ + 56x³y²

Factoring it, we get -

7x²y {y² + 8x³}

Therefore, we can write the complete factored form of 7x²y³ + 56x³y² as

7x²y {y² + 8x³}.

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Step-by-step explanation:

no, not anymore. unbelievable.

AC = AE + EC = 12 + 8 = 20

The corresponding values for the triangle in the larger circle are;

1. Perimeter of Δ BSH = 71.4 cm

2. The measure of ∠SBH = 102°.

3.  The area of Δ BSH = 41.54 cm²

4. The length of the circumference of circle B = 52.275 cm

1. The ratio of the perimeters of similar triangles is equal to the ratio of their corresponding sides. Since OB/OA = 4.25, we have:

Perimeter(Δ BSH) = Perimeter(Δ ARG) × 4.25

Perimeter(Δ BSH) = 16.8 cm × 4.25 = 71.4 cm

2. Since the triangles are similar, their corresponding angles are congruent. Therefore, ∠SBH = ∠RAG = 102°.

3. The ratio of the areas of similar triangles is equal to the square of the ratio of their corresponding sides. Since OB/OA = 4.25, we have:

Area(Δ BSH) = Area(Δ ARG) × (4.25)²

Area(Δ BSH) = 2.3 cm² × (4.25)² = 2.3 cm² × 18.0625 = 41.54 cm²

4. The ratio of the circumferences of similar circles is equal to the ratio of their radii or diameters. Since OB/OA = 4.25, we have:

Circumference(circle B) = Circumference(circle A) × 4.25

Circumference(circle B) = 12.3 cm × 4.25 = 52.275 cm

The above answers are in response to the following questions below;

Dante created the following measurements and calculations:

He then made the following measurements and calculations:

He calculated the ratio OB = 4.25.

                                      OA

He measured the perimeter of Δ ARG, and found it to be 16.8 cm.

He measured ∠RAG = 102°.

He calculated the area of Δ ARG, and found it to be 2.3 cm2.

He calculated the circumference of circle A, and found it to be approximately 12.3 cm.

He would now like to calculate corresponding values for the triangle in the larger circle, and he needs your help.

Calculate the following, using your knowledge that all circles are similar, along with the data already collected by Noah..

5. Find the perimeter of Δ BSH.

6. Find the measure of ∠SBH.

7. Find the area of Δ BSH.

8. Find the length of the circumference of circle B.

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Answer:

I think it's only D but Im not sure

Answer:

-12

Step-by-step explanation:

Answer:

w = -12

Step-by-step explanation:

Given: w/-2 = 6

Rewriting to make it easier to see what is going on: \(\frac{w}{-2}\) = 6

Multiplying both sides by -2: w = -12

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

\(\\ \sf\longmapsto -8(x-2)=3-6x\)

\(\\ \sf\longmapsto -8x+16=3-6x\)

\(\\ \sf\longmapsto -8x+6x=3-16\)

\(\\ \sf\longmapsto -2x=-13\)

\(\\ \sf\longmapsto 2x=13\)

\(\\ \sf\longmapsto x=13/2\)

\(\\ \sf\longmapsto x=6.5\)

The second graph represents the function on the interval [-3,3].

The function is f(x)=[x]-2.

The function is defined in the interval [-3, 3].

The greatest integer function is represented y=[x].

The greatest integer can also be known as floor function. The function is integral part of real numbers.

The values of greatest function f(x)=[x]-2 in the interval [-3, 3] can be obtained as follows:

Substitute x=-3 in function f(x):

f(-3)=[-3]-2

=-5

Substitute 3  for x  in the function f(x):

f(3)=[3]-2

=1

The minimum value of the function in [-3, 3] is -5.

The maximum value of the function in [-3, 3] is 1.

Hence, the second graph represents the function on the interval [-3,3].

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Answer:

i got 1.26669469837e-17

i might be wrong

The initial size of the bird population was approximately 4,619 birds, and the estimated population 2 years from now is approximately 6,528 birds.

We are dealing with a bird population that doubles every 10 years. To find the initial population 25 years ago, we can use the formula:

Initial population = Current population / (2^(Years since introduction / 10))

Here, the current population is 13,000, and it has been 25 years since the bird species was introduced. Plugging in these values, we get:

Initial population = 13,000 / (2^(25 / 10))

Initial population = 13,000 / (2^2.5)

Initial population ≈ 4,619 birds (rounded to the nearest whole number)

To estimate the bird population 2 years from now, we can use the same formula with a total of 27 years since the introduction:

Future population = Initial population * (2^(Years since introduction / 10))

Future population = 4,619 * (2^(27 / 10))

Future population ≈ 6,528 birds (rounded to the nearest whole number)

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