what is the mathematical symbol for 0 is an integer

Answer:

Volume of the sphere= 113.112 cubic inch(Inch ³)

Step-by-step explanation:

First of all the formula for the volume of a sphere Is given as 4πr³

Already the radius r is already given as 3 inches

While π = 3.142

Volume of the sphere = 4/3πr³

Volume of the sphere = 4/3(3.142)(3)³

Volume of the sphere= 4/3(3.142)(27)

Volume of the sphere= 4/3(84.834)

Volume of the sphere= 339.336/3

Volume of the sphere= 113.112 Inch ³

Volume of the sphere= 113.112 cubic inch

Answer:

  z = 1 + 9y³

Step-by-step explanation:

It looks like you have ...

  \(\log_3{(z-1)}-\log_z{(z)}=1+3\log_3{(y)}\\\\\log_3{(z-1)}-1=1+\log_3{(y^3)}\\\\\log_3{(z-1)}=2+\log_3{(y^3)}\qquad\text{add 1}\\\\z-1=(3^2)(y^3)\qquad\text{take antilog}\\\\\boxed{z=1+9y^3}\qquad\text{add 1}\)

The value of x in the statement negative 3 less than 4.9 times a number x is the same as 12.8 is 2.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given a statement negative 3 less than 4.9 times a number, x, is the same as 12.8 this can be numerically expressed as,

4.9x - (- 3) = 12.8.

4.9x + 3 = 12.8

4.9x = 12.8 - 3.

4.9x = 9.8.

x = 9.8/4.9.

x = 2.

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

\( 4x^5\sqrt[3]{3x} \)

Step-by-step explanation:

I'm not sure I understand the problem, but I think it's this:

\( \sqrt[3]{16x^7} \times \sqrt[3]{12x^9} = \)

\(= \sqrt[3]{16 \times 12 \times x^{16}}\)

\(= \sqrt[3]{192 \times x^{15} \times x}\)

\( = \sqrt[3]{64 \times 3 \times (x^5)^3 \times x} \)

\( = \sqrt[3]{4^3 \times 3 \times (x^5)^3 \times x} \)

\( = 4x^5\sqrt[3]{3x} \)

The product of the given expression \(\sqrt[3]{16x^7} \times \sqrt[3]{12x^9}\) will be \(4x ^5\sqrt[3]{3x}\).

\(4x ^5\sqrt[3]{3x}\).

If we have a^b then 'a' is called the base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

\(a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\\)

The given expression is follows as

\(\sqrt[3]{16x^7} \times \sqrt[3]{12x^9} \\\\\sqrt[3]{16\times 12 \times x^{16}} \\\\\sqrt[3]{192\times x \times x^{15}} \\\\\sqrt[3]{64\times 3\times x \times (x^{5})^3} \\\\\sqrt[3]{4^3 \times 3\times x \times (x^{5})^3}\)

\(4x ^5\sqrt[3]{3x}\)

Therefore, the product of the given expression \(\sqrt[3]{16x^7} \times \sqrt[3]{12x^9}\) will be \(4x ^5\sqrt[3]{3x}\).

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Answer:

Yes, because the regression equation is based on the random sample.

Step-by-step explanation:

A simple linear regression model that describes the relationship between X and Y takes the form

Yi= ∝ + βXi + εi or

Y i= U(y.x) + εi

where εi's are the random errors. The random errors εi's are assumed to be independent of Xi and normally distributed with E(εi)= 0 and Var (εi)= σ²(y.x) , a constant for all Xi. These assumptions imply that Yi also have a common variance σ²(y.x) ,  as the only random element in the is  εi.

The estimated regression line Y= a+ bX is also the predictor of Yi= ∝ + βXi+ εi

. That is Y^ can also be used to predict an individual value Y0 of Yi rather than a mean value, corresponding to the given X0. To draw the inferences about Y0 we need to know it mean and variance.

Answer:

It is B,  y > 4 x – 7 and y < 1

Step-by-step explanation:

I just did it on edge.

Answer:

B

Step-by-step explanation:

Edg2021

Answer:

ŷ = 0.1286X - 123.2175 ;

r = 0.947

r² = 0.896

Step-by-step explanation:

Given the data:

Traffic Flow, X : ____Vehicke speed ;Y()

1257 ______________36

1329 ______________45

1227 ______________30

1336 ______________50

1349 ______________55

1124 ______________ 25

The estimated regression equation using a linear regression calculator based on the data given above is given thus:

ŷ = 0.1286X - 123.2175

Where ;

y = dependent variable (vehicle speed)

x = predictor variable (traffic flow)

Slope = 0.1286

Intercept = 123.2175

The correlation Coefficient, R, obtained using the correlation Coefficient calculator is 0.9465, This depicts a very strong positive relationship between traffic flow and vehicle speed.

The Coefficient of determination, R² which is the squared value of the correlation Coefficient = 0.9465² = 0.8958 gives the proportion of explained variance ; This means about 89.5% of variation in Vehicle speed can be explained by the regression line.

Step-by-step explanation:

You want to find the equation for a line that passes through the point (4,21) and has a slope of 01.

First of all, remember what the equation of a line is:

y = mx+b

Where: m is the slope, and b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 01. So you can right away fill in the equation for a line somewhat to read:

y=01x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(4,21). When x of the line is 4, y of the line must be 21.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,21).

When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

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The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

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Answer:

Should be A

Step-by-step explanation:

The x cord increase by 5 for all points.

Y cord decrease by 3 for all points

Level of intelligence has had a noticeable impact on developmental and grown-up psychology for a really long time. Without even a trace of a reasonable hypothetical model of inner mental capabilities, in any case, building legitimacy for intelligence-level tests has forever been hard to lay out.

Test legitimacy, along these lines, has forever been aberrant, by corresponding individual contrasts in test scores with what are thought to be different models of intelligence. Work execution has, because of multiple factors, being one such model. Relationships of around 0.5 have been routinely referred to as proof of test legitimacy, and as a defense for the utilization of the tests in developmental examinations, instructive and word-related choice, and research programs on wellsprings of individual contrasts. Here, those relationships are inspected along with the nature of the first information and the numerous remedies expected to show up at them. It is presumed that extensive watchfulness should be practiced in referring to such relationships for test approval.

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The given equation is expressed as

- (2x + 4) = 3x - 5

The first step is to open the bracket on the left habd side of the equation by multiplying each term inside the bracket by - 1 which is outside the bracket. Thus, we have

- 1 * 2x + - 1 * 4 = 3x - 5

- 2x - 4 = 3x - 5

Collecting liketerms, we have

- 2x - 3x = - 5 + 4

- 5x = - 1

Dividing both sides of the equation by - 5, it becomes

- 5x/- 5 = - 1/- 5

x = 1/5

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

  319/381

Step-by-step explanation:

You want the probability that a customer will buy exactly one costume, given that the numbers buying 0, 1, or >1 costumes were 28, 319, and 34, respectively.

The probability is the ratio of customers buying one to total customers:

  P(n=1) = 319/(28 +319 +34) = 319/381

This fraction cannot be reduced, so ...

The probability the next person will purchase exactly one costume is 319/381.

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Answer:

TALA RHYTHMIC PATTERNS

ACTIVITY 2: LET'S DO TALA

kind of membranophones/percussion instruments found at home for tapping. Record your

Directions: Perform the following tala rhythmic patterns using the given legend. Use any

performance using any recorder and send it to your

INSTRUMENTS AT HOME

MANJIRA

TIN CANS

1 2 3 4 5 6

х

1 2 3 4 5 6 7 8 9 10 11 12

GHATAM

PAL

X

х

0 X

TABLA

1 2 3 4 5 6 7 8 9 10

BOX

x xox

If D be a region bounded by a simple closed path C in the xy-plane, then the centroid of the quarter circle is  (4a/3π , 4a/3π)   .

In the question ,

it is given that D is the region bounded by a simple closed path C in the xy-plane .

the radius of the circle is = "a" ,

let the equation of the circle be x² + y² = a² ,

So , the area of the quarter circle is (A)  = (1/4)*πa²

The coordinate of the centroid x will be :

x = \(\frac{1}{2A} \int\limits x^{2} dy\)

x = \(\frac{1}{2(\frac{\pi a^{2} }{4})} \int\limits^a_0 {a^{2} -y^{2} } \, dy\)

Simplifying further ,

we get ,

x = 2/πa² [{a²(a) - a³/3} - 0 ]

x = 2/πa² [a³ - a³/3 ]

x = 4a/3π

The coordinate of the centroid y will be :

y = \(\frac{1}{2A} \int\limits y^{2} dx\)

y = \(\frac{1}{2(\frac{\pi a^{2} }{4})} \int\limits^a_0 {a^{2} -x^{2} } \, dx\)

Simplifying further ,

we get ,

y = 2/πa² [{a²(a) - a³/3} - 0 ]

y = 2/πa² [a³ - a³/3 ]

y = 4a/3π

Therefore , the coordinates of the centroid is (4a/3π , 4a/3π) .

The given question is incomplete , the complete question is

Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid x, y of D are x = \(\frac{1}{2A} \int\limits x^{2} dy\)  ,  y = \(\frac{1}{2A} \int\limits y^{2} dx\) ?  

Find the centroid of a quarter-circular region of radius a.

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The mean of the sampling distribution is the average value of the mean of a large number of samples of the same size, taken from the same population. The symbol for the mean of the sampling distribution is usually represented by the Greek letter "mu" (μ). It is calculated as the sum of all the sample means divided by the number of samples.

The equation for the mean of the sampling distribution is given as:

μ = (1/n) * Σ x

where:

μ = mean of the sampling distribution

n = number of samples

Σ x = sum of the sample means

x = mean of each individual sample

The mean of the sampling distribution represents the center of the distribution and provides an estimate of the population mean. In this equation, the mean of each individual sample (x) is calculated first, and then those sample means are summed and divided by the number of samples (n) to find the mean of the sampling distribution (μ).

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Answer:

20 1/3 or 61/3

Here you go, have a nice day!!

Answer:

2 2/5

Step-by-step explanation:

Follow these steps to get a mixed number:

Divide 12 by 5. The quotient is 2 and the remainder is 2. The divisor remains 5. 12/5 in mixed fraction is 2 2/5

Hence, 12/5 can be written as a mixed number 2 2/5.

The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.

The function will be:

F = 2.40 + (0.40 × m)

F = 2.40 + 0.40m

where m = number of miles

F = taxi fare.

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Answer: 4

I’m sorry, I could not find any other methods except for finding the closest perfect square which was 2116. (46^2)

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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