which one has only positive values? choose all applied. a. normal distribution b. z distribution c. chi square distribution d. f distribution e. t distribution

Answer:

length of arc YPX=πrtheta /180

given radius =8m

= π(8)(360-90)/180=π(8)(270)/180=12πm

Answer:

angle 1 = 52°

angle 2 = 90°

angle 3 = 38°

angle 4 = 38°

Write the phrase as an expression the quotient of 22 and a number \(a\).The quotient of 22 and  \(a\)  number = 22/\(a\)

Given that

number = 22

quotient =   \(a\)

To find

The mathematical equation or relation between quotient of 22 and a number \(a\).

So according the question

We have

quotient = 22

divisor =   \(a\)

For finding the relation between given quotient and divisor, let's firstly know about Dividend, Divisor, Quotient and Remainder,

In Mathematics, the dividend is the value that is divided by another value to get the result. The dividend is the base of any division method.

An integer that divides another integer to obtain a result is called a divisor. The result of this division, or quotient, is the dividend, which is the original number that was divided.

Quotient = Dividend ÷ Divisor

When we divide one number by another, the result is a quotient. As an illustration, when we divide 6 by 3, we obtain the answer 2, which is the quotient. A decimal or an integer can both be used as the quotient. When dividing exactly, as when 10 ÷5 = 2, the quotient is an integer, whereas when dividing roughly, as when 12÷ 5 = 2.4, the quotient is a decimal. Although a quotient can be greater than the divisor, it will never be greater than the dividend.

The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). This value is called the remainder.

Now, from question  

We have a quotient of 22 that is \(a\).

So, 22 fully divided by \(a\).

In mathematical form,

                        = 22/\(a\)

The quotient of 22 and \(a\)  number = 22/\(a\)

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Answer:

\(\dfrac{3}{10}\)

Step-by-step explanation:

Length of an arc\(=\dfrac{\theta}{2\pi}X 2\pi r=\theta r\)

If the central angle of the arc is \(\dfrac{3\pi}{5}\)

Length of an arc\(=\dfrac{3\pi r}{5}\)

Therefore:

Ratio of the length of the arc to the circumference

\(=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}\)

Therefore, the arc is \(\dfrac{3}{10}\) of the circumference is this arc.

Answer: 3 /10

Step-by-step explanation: Khan Academy

Answer:

281474976.71

Step-by-step explanation:

Answer:

281,474,976.711

Step-by-step explanation:

(4^7 / 5^2)^3

4^21 / 5^6 = 281,474,976.711

90 points where at least two of the circles intersect.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

Given,

Four distinct circles are drawn in a plane.

Start with two circles; they can only come together in two places. The third circle contacts each of the previous two circles in two spots each, bringing the total number of intersections up to four with the addition of a third circle. The total number of intersections will rise by another 6 when a fourth circle intersects the first three. And the list goes on.

As a result, we get a recognizable, regular pattern: for each additional circle, there are two more intersections overall than in the circle before it.

The total number of intersections can be expressed as the sum because the maximum number of intersections of 10 circles must occur when each circle contacts every other circle in 2 places each.

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90.

90 points where at least two of the circles intersect.

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Each quadratic equation with its roots are:

a²- a + 11 = 0, a =  (1 ±  i√43)/ 2

a² - 2a + 15 = 0, a =  1 ±  i√14

a² - 2a + 10 = 0, a = 1 ±  3i

a²-a +12=0, a =  (1 ±  i√47)/ 2

The quadratic formula is a formula used to find the solutions of a quadratic equation, which is an equation in the form of ax² + bx + c = 0,

where a, b, and c are constants. The quadratic formula can be used to find the two solutions (x1 and x2) of a quadratic equation, even when the equation cannot be solved by factoring.

The quadratic formula is:

x = (-b ± √(b²  - 4ac)) / (2a)

a²- a + 11 = 0

a = 1, b = -1 and c = 11

x = (-b ± √(b²  - 4ac)) / (2a)

x = (-(-1) ± √((-1)²  - 4*1*11)) / (2*1)

x =  (1 ± √(-43))/ 2

x =  (1 ±  i√43)/ 2

a² - 2a + 15 = 0

a = 1, b = -2 and c = 15

x = (-b ± √(b²  - 4ac)) / (2a)

x = (-(-2) ± √((-2)²  - 4*1*15)) / (2*1)

x =  (2 ± √(-56))/ 2

x =  (2 ±  i√56)/ 2

x =  (2 ±  2i√14)/ 2

x =  1 ±  i√14

a² - 2a + 10 = 0

a = 1, b = -2 and c = 10

x = (-b ± √(b²  - 4ac)) / (2a)

x = (-(-2) ± √((-2)²  - 4*1*10)) / (2*1)

x =  (2 ± √(-36))/ 2

x =  (2 ±  6i)/ 2

x =  1 ±  3i

a²-a +12=0

a = 1, b = -1 and c = 12

x = (-b ± √(b² - 4ac)) / (2a)

x = (-(-1) ± √((-1)²  - 4*1*12)) / (2*1)

x =  (1 ± √(-47))/ 2

x =  (1 ±  i√47)/ 2

Note: I used "x" as the unknown for convenience. The unknown is actually "a".

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Answer:

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.

A. f(x) = 5 + x; $111.05

B. f(x) = 0.05x; $5.50

C. f(x) = x � 5; $108.95

D. f(x) =1.05x; $115.50  

total cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 to get

f(x) = 1.05x

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50 (after tax is added on)

Step-by-step explanation:

1:    the total cost of a CD player would be 104.76

2:    Total Cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 into the function

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50

3:    Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

there is a 5% probability of rejecting a false null hypothesis and hence c is correct option

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Testing hypotheses is a crucial component of empirical research and evidence-based medicine. A well-developed hypothesis is only half the solution to the research problem. Working understanding of fundamental statistical principles is preferred for this, as well as subject-specific knowledge gleaned through a thorough survey of the literature.

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Answer: table C or 3

Step-by-step explanation:

If you graph it on paper then it creates a straight line, where the others do not.

\(\left[\begin{array}{ccc}0&-1\\-3&1\end{array}\right]\)

-y

-2x + y

- y determinant

__________________________________________________________

\(\left[\begin{array}{ccc}2&0\\1&-3\end{array}\right]\)

2x

x-3y

- x determinant

__________________________________________________________

\(\left[\begin{array}{ccc}2&-1\\1&1\end{array}\right]\)

2x -y

x + y

-system determinant

Answer:

\(7 \left(\sqrt[5]{x^2 y} \right)\)

Step-by-step explanation:

\(4\left(\sqrt[5]{x^2 y} \right)+3\left(\sqrt[5]{x^2 y} \right)\\\\\\=(4+3)\left(\sqrt[5]{x^2 y} \right)\\\\\\=7\left(\sqrt[5]{x^2 y} \right)\)

The equations to solve are x + y = 100 and 15x + 20y = 1650. Solving these equations gives x = 70 and y = 30. Therefore, 70 type A masks and 30 type B masks were sold in April 2020.

To find the number of masks of each type sold in the month of April, we can set up a system of equations based on the given information.

Let's assume that 'x' represents the number of type A masks sold and 'y' represents the number of type B masks sold.

From the given information, we know that the cost of a type A mask is Rs. 15 and the cost of a type B mask is Rs. 20. The total sales for 100 masks is Rs. 1650.

So, we can write the following equations:

x + y = 100 (Equation 1: Total number of masks sold is 100)

15x + 20y = 1650 (Equation 2: Total sales amount is Rs. 1650)

To solve this system of equations, we can use the substitution method. Rearrange Equation 1 to solve for x:

x = 100 - y

Substitute this value of x into Equation 2:

15(100 - y) + 20y = 1650

Expanding the equation:

1500 - 15y + 20y = 1650

Combine like terms:

5y = 150

Simplifying:

y = 30

Substitute this value of y back into Equation 1 to find x:

x + 30 = 100

x = 100 - 30

x = 70

Therefore, 70 type A masks and 30 type B masks were sold in the month of April.

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Answer:

\(f(x)=x^3-7x^2-6x+72\)

Step-by-step explanation:

\(f(x)=a(x-p)(x-q)(x-r)\\\\f(x)=1(x-6)(x+3)(x-4)\\\\f(x)=(x^2-3x-18)(x-4)\\\\f(x)=x^3-4x^2-3x^2+12x-18x+72\\\\f(x)=x^3-7x^2-6x+72\)

This is because \(x=6\) is the solution to \(x-6=0\), \(x=-3\) is the solution to \(x+3=0\), and \(x=4\) is the solution to \(x-4=0\).

The solution to the expression given as 5x + 3y > 12 has the ordered pair of (3, 0)

From the question, we have the following inequality that can be used in our computation:

5x + 3y > 12

Solving further, we need to collect the like terms

So, the expression becomes

3y > 12 - 5x

Next, we divide through the inequality by 3

So, we have the following representation

y > 12/3 - 5/3x

Evaluate

The equation becomes

y > 4 - 5/3x

At this point, we assume any value for x and then solve for y

Assume that the value of x is 3

So, we have the following representation

y > 4 - 5/3 * 3

Evaluate the products

y > -1

A value greater than -1 is 0

So, we have

x = 3 and y = 0

Express as ordered pairs

(x, y) = (3, 0)

Hence, the ordered pair of the solution is (3, 0)

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Answer:

6.2y can be combined with -3/8y

(a) The half-life of an element is the amount of time it takes for the radioactivity of the element to decrease to half its initial value.

We can use the formula for exponential decay, A = A0(1/2)^(t/h), where A is the final amount, A0 is the initial amount, t is the time elapsed, and h is the half-life. Setting A = A0/2 and solving for h, we get h = ln(2)/r, where r is the decay rate. Therefore, the half-life of the element is rounded to the nearest whole number, h = round(ln(2)/r).

(b) To determine the number of days it takes for a sample of mg to decay to mg, we can use the same formula for exponential decay, A = A0(1/2)^(t/h), where A is the final amount, A0 is the initial amount, t is the time elapsed, and h is the half-life.

We want to solve for t when A = mg and A0 = mg. Plugging in the values, we get mg = mg(1/2)^(t/h), which simplifies to 1/2^(t/h) = 1. Solving for t, we get t = h*log2(2) = h, since log2(2) = 1. Therefore, the number of days it takes for a sample of mg to decay to mg is rounded to the nearest whole number, t = round(h).

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Answer:

18b^6

Step-by-step explanation:

3b⁴ x 6b²

This is an example of exponential decay. The value of P is  P=6e-1.7045t.

Exponential growth and decay apply to physical quantities which change in value or form in a rapid manner. The change can be measured using the concept of exponential growth and exponential decay, and the new obtained quantity can be obtained from the existing quantity.

Exponential growth finds applications in studying bacterial growth, population increase, money growth schemes. Exponential decay refers to a rapid decrease in a quantity over a period of time. The exponential decay can be used to find food decay, half-life, radioactive decay. The formulas of exponential growth and decay are as presented below.

Exponential growth uses a factor 'r' which is the rate of growth. Here the r-value lies between 0 and 1 (0 < r < 1). The term (1 + r) can be taken as the growth factor. And 't' is the time steps which is the number of times the growth factor is to be multiplied. The value of 't' can be a whole number or a decimal number. For exponential decay, the growth factor is (1 - r), which has a value lesser than 1.

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Answer:

-6 < n < -4

Step-by-step explanation:

Solving the inequality 5 + 7n > -37  :

5 + 7n > -37

⇔ 7n > -37 - 5

⇔ 7n > -42

⇔ n > -42/7

⇔ n > -6

Solving the inequality n + 8 < 4 :

n + 8 < 4

⇔ n < 4 - 8

⇔ n < -4

Then , the solution to the compound inequality

5 + 7n > -37 and n + 8 < 4 is :

All real numbers n ,where -6 < n < -4

The solution in interval notation (-6 , -4)

Answer:

144

Step-by-step explanation:

(2*(3*5)+6)*4:

First, we simplify the 3*5.

(2*(15)+6)*4

Next, we multiply by 2.

(30+6)*4

We add the six now.

36*4

Finally, we multiply.

Answer:

22 + 63 = 20 + 65

Step-by-step explanation:

Hope this helps!

Answer:

22 + 63 is the same as 20 +  65

Step-by-step explanation:

Hope this helped!

The counterexample that disproves the inequality n³ ≤ 3n² is n = 4.

To disprove the statement n³ ≤ 3n², we need to find a counterexample, which is a value of n for which the inequality is false.

Let's evaluate the inequality for the given options:

a. n = 0:

0³ ≤ 3(0)²

0 ≤ 0

The inequality holds for n = 0.

b. n = -1:

(-1)³ ≤ 3(-1)²

-1 ≤ 3

The inequality holds for n = -1.

c. n = 0.5:

(0.5)³ ≤ 3(0.5)²

0.125 ≤ 0.75

The inequality holds for n = 0.5.

d. n = 4:

4³ ≤ 3(4)²

64 ≤ 48

The inequality does not hold for n = 4.

Therefore, the counterexample that disproves the inequality n³ ≤ 3n² is n = 4.

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Answer:

y = -x

Step-by-step explanation:

Answers 1 and 4 have an offset (+2 and -1) that interferes.  x = 2 is not a proportion.  It is simply a statement that x = 2.  It is not allowed in the high stakes room.

Answer:

Step-by-step explanation:

Simple variance analysis compares actual costs with standard costs, while flexible variance analysis incorporates actual activity or output into budget calculations.

Simple Variance Analysis: Determine the standard or budgeted cost for each component of the project or process. Measure and record the actual cost incurred for each component. Calculate the variance by subtracting the actual cost from the standard cost for each component. Analyze the variances to identify the reasons for deviations between the actual and standard costs. Investigate the causes of significant variances and take appropriate corrective actions if necessary.

Flexible Variance Analysis: Determine the flexible budget based on the actual output or level of activity. Calculate the flexible budget variance by subtracting the flexible budget amount from the actual cost or revenue. Calculate the price variance by comparing the actual price per unit with the budgeted price per unit and multiplying it by the actual quantity. Calculate the efficiency variance by comparing the actual quantity with the budgeted quantity and multiplying it by the budgeted price per unit. Analyze the variances to understand the reasons for deviations from the flexible budget. Investigate the causes of significant variances and take appropriate corrective actions if necessary.

Both simple variance analysis and flexible variance analysis are used to compare actual performance against standard or budgeted performance and identify the reasons for deviations. Simple variance analysis focuses on comparing actual costs with standard costs, while flexible variance analysis incorporates the actual level of activity or output into the budget calculations.

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Check the picture below.

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a

a

aa

a

Answer:(19, 1768.9).

Step-by-step explanation:

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The graph of the parabolic path is shown in the picture.

From the graph:

The x-coordinate of the vertex is (38, 0)

The x-coordinate represents time in seconds

The y-coordinate of the vertex is (19, 1768.9)

The y-coordinate represents the height in meters

Thus, the x-coordinate of the vertex is (38, 0) a