17. What is 18,000,000,000,000 written in scientific notation?
A
1.8 x 10-13
В.
1.8 x 10"
C.
18 x 10-12
D.
18 x 1012

The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.

An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.

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Answer:

3

Step-by-step explanation:

Mode is the one that has the most so 3 has the most

The modeled epidemic rate cannot be determined from the information provided.

The rate of an epidemic spreading is a complex process that is influenced by many factors such as the population density, the number of people who are vaccinated, and the infectiousness of the virus. Therefore, it is not possible to accurately model the rate of an epidemic spreading after 3 days based on the information provided. To accurately model the rate of an epidemic spreading, additional information such as the population density, the number of people who are vaccinated, and the infectiousness of the virus would be needed.

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Answer:

28.34  x 1 = 28.34

14.17 x 2 = 28.34

There are required two multiplication expressions that might generate the result 28.34. Here are a number of such examples:

28.34 × 1

14.17 × 2

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

We have to determine two multiplication expressions that have the product of 28.34

As per the given question, the required solution would be as:

There are many possible multiplication expressions that could result in the product of 28.34. Here are two examples:

28.34 × 1

14.17 × 2

In the first example, the product is 28.34 because any number multiplied by 1 is equal to itself.

In the second example, the product is 28.34 because 14.17 multiplied by 2 is equal to 28.34.

Hence, the required answers are 28.34 × 1 and 14.17 × 2

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cost = $187.60

20% down

4 months of $39.40

1.- Calculate the 20%

187,6 ------------------- 100

x -------------------- 20

x = (20 x 187.6) / 100

x = 3752/100

x = 37.52

2.- Calculate the final price

Price paid = 37.52 + 4(39.40)

Price paid = 37.52 + 157.6

= $195.12

2.- Finance charge

= 195.12 - 37.52

= $157.6

Answer:

Answer is: 0.0052441

Answer:

0.0052441

hope it helps.

To find the height of the plant when p = 90 years, we can substitute p = 90 into the polynomial function \(R(p) = -2p^2 + 270p\)and evaluate it.

\(R(p) = -2p^2 + 270p\)

Substituting p = 90:

\(R(90) = -2(90)^2 + 270(90)\)

= -2(8100) + 24300

= -16200 + 24300

= 8100

Therefore, when p = 90 years, the height of the plant is 8100 inches.

Let's break down the problem step by step to provide a more detailed explanation.

The given polynomial function for the height of the plant is:

\(R(p) = -2p^2 + 270p\)

To find the height of the plant when p = 90 years, we substitute p = 90 into the function:

\(R(90) = -2(90)^2 + 270(90)\)

First, we evaluate the exponentiation:

R(90) = -2(8100) + 270(90)

Then, we perform the multiplications:

R(90) = -16200 + 24300

Finally, we add the two terms:

R(90) = 8100

Therefore, when the plant is 90 years old, the height of the plant is 8100 inches.

The polynomial function \(-2p^2 + 270p\) represents a quadratic relationship between the age of the plant (p) and its height (R(p)). By substituting the specific value of p into the function, we can determine the corresponding height of the plant. In this case, when p = 90 years, the height of the plant is calculated to be 8100 inches.

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The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

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The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

The equation of the line through the point (3,-2) and parallel to the line represented by y=1/2x-2 is y = 1/2x - 7/2.  

The line y=1/2x-2 has a slope of 1/2, because it is in the form y = mx + b, where m is the slope.  

b is constant

y and x are variables

A line that is parallel to this line will also have a slope of 1/2.

Using the point-slope form of a linear equation, the equation of the line through the point (3, -2) with a slope of 1/2 is:

y - (-2) = 1/2(x - 3)

Simplifying:

y + 2 = 1/2x - 3/2

y = 1/2x - 7/2

Therefore, the equation of the line through the point (3,-2) and parallel to the line represented by y=1/2x-2 is y = 1/2x - 7/2.

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Answer:

12

Step-by-step explanation:

Area of a triangle = (1/2) * base * height

base width = 4 squares

height = 6 squares

area = (1/2) * 4 * 6 = 12

The dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 meters less than double the width, which can be expressed as 2x - 3.

The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 14 m². Therefore, we can write the equation:

(x)(2x - 3) = 14

Expanding the equation:

2x² - 3x = 14

Rearranging the equation to standard form:

2x² - 3x - 14 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 2, b = -3, and c = -14. Plugging in these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(2)(-14))) / (2(2))

x = (3 ± √(9 + 112)) / 4

x = (3 ± √121) / 4

x = (3 ± 11) / 4

Simplifying further:

x = (3 + 11) / 4 or x = (3 - 11) / 4

x = 14 / 4 or x = -8 / 4

x = 7/2 or x = -2

Since the width cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 7/2 meters.

Now, we can substitute the value of x into the expression for the length:

Length = 2x - 3

Length = 2(7/2) - 3

Length = 7 - 3

Length = 4 meters

Thus, the dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

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No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Answer:

y = m x + b      equation of a straight line

m = (y2 - y1) / (x2 - x1)     slope of line

m = (17 - 10) / (-36 - 48) = 7 / -84 = -1 / 12

y = -x / 12 + b     equation of line

Or b = y + x / 12

If y =  10 and x = 48 then    b = 10 + 48 / 4 = 14

if  y = 17 and x = -36 then b = 17 - 36 / 12 = 14

So b = 14 and   y = -x / 12 + 14

The rate of change of the circle diameter with respect to the radius is a constant value of 2.

The diameter of a circle is twice the radius, so we can write:

Diameter = 2 * Radius

To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:

diameter/d(radius) = d(2 * radius)/d(radius)

The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:

diameter/d(radius) = 2

Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.

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The scale factor used to dilate triangle ABC to triangle A'B'C' is approximately 4. So, correct option is C.

To determine the scale factor used to dilate triangle ABC to triangle A'B'C', we can use the formula:

scale factor = distance(A', B') / distance(A, B)

We can choose any pair of corresponding vertices to calculate the distance, but it's usually easiest to use the endpoints of a side. Let's use points A and A', and points B and B', respectively:

distance(A', B') = √[(12 - (-12))² + (12 - (-12))²] = √(24² + 24²)  ≈ 34

distance(A, B) = √[(3 - (-3))² + (3 - (-3))²] = √(6² + 6²) = 6√2

Substituting these values into the formula, we get:

scale factor = 34 / (6√2) ≈ 4

This means that every length in triangle A'B'C' is 4 times the corresponding length in triangle ABC.

Therefore, Correct option is C.

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B, it's the most logical; 6% as a decimal is (.06 and that's what B has)

Answer:

C

Step-by-step explanation:

If the population of wolves is increasing, then the function will represent exponential growth. So the number inside the parentheses must be greater than 1. That narrows it down to the last 2. But it's exponential growth, so it includes an exponent. D doesn't have an exponent, so you're left with C :)

Answer:

The answer is w^2 -12w +36

In order to find the values of the sides of the triangle you take into account the relation between sides and hypotenuse.

h: hypotenuse

c1: shorter leg

c2: longer leg

Longer leg c2 is 3 inches longer than c1:

c2 = c1 + 3

hypotenuse h is 6 inches longer than c1:

h = c1 + 6

The formula for the calculation of the hypotenuse is:

h² = c1² + c2²

you replace for h and c2 in terms of c1:

(c1 + 6)² = c1² + (c1 + 3)²

You solve the previous equation for c1:

c1² + 12c1 + 36 = c1² + c1² + 6c1 + 9

c1² - 6c1 - 27 = 0

the roots of the previous equation are:

(c1 - 9 )(c1 + 3) = 0

c1 = 9

c1 = -3

You take the positive number because there is no length of sides with negative values.

Then, c2 and h are:

c2 = c1 + 3 = 9 + 3 = 12

h = c1 + 6 = 9 + 6 = 15

Hence, shorter leg is 9 inches, longer leg 12 inches and hypotenuse 15 inches

30 + 50 + 25 + 35 = 140$

140$ is the budget

she already has the expenses take away 130$

so 140 - 130 = 10$

Nancy has 10$ to spend on music

there are total  360 cans in the display.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, A display of cans in a grocery store consists of 15 rows.

We can simplify this calculation by using the formula for the sum of an arithmetic series:

S = (n/2) * (a + l)

where S is the sum of the series,

n is the number of terms, a is the first term,

and l is the last term

In this case, we have:

n = 15 (the number of rows)

a = 45 (the number of cans in the first row)

l = 3 (the number of cans in the last row)

Plugging these values into the formula, we get:

S = (15/2) * (45 + 3)

S = 7.5 * 48

S = 360

Therefore, there are 360 cans in the display.

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The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.

The tile's length is the longer side of a tile depending on the shape of the tile.

The length of the given tile is, 0.15 meter.

Length of the edge of he counter = 3 meters.

Number of tiles Hassan needs = 3/0.15

Number of tiles Hassan needs = 20 tiles.

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Answer: 20 tiles.

Step-by-step explanation:

The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.

What is a Tile's Length?

The tile's length is the longer side of a tile depending on the shape of the tile.

The length of the given tile is, 0.15 meter.

Length of the edge of he counter = 3 meters.

Number of tiles Hassan needs = 3/0.15

Number of tiles Hassan needs = 20 tiles.

The probability of rolling a 7 is 1/6 or 16.6667%.

For two six-faced dice,  the 36 different possibilities are:

[1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6].

possible combinations for getting a 7 = (1,6), (2,5) ,(3,4), (4,3), (5,2) ,(6,1)

                                                              = 6 possibilities

probability of rolling a seven= 6/36

                                                =1/6

                                                =16.6667%

Therefore, there is 16.6667% probability of rolling a 7.

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Answer:

33.33

Step-by-step explanation:

Answer:

D. $1,637.88

Step-by-step explanation:

On Edge2020

Given,

7p-11p+3>3-4p

-4p+3>3-4p

-4p>-4p

which is absured.

So there is no solution of the inequality.

Answer: Option D is correct.

y = -4x + 4

Answer:

y = -4x + 4

Step-by-step explanation:

D. is your answer ^^