1.95 × 10^5 in standard form?

Answer:

c

Step-by-step explanation:

2^1\6

4√(3√2^2)= 2^1\6

Answer: 11

Step-by-step explanation: 132/12 = 11

You divide the actual car length by the model and you get the scale factor.

The scale factor of the model to the actual car is 1/11 inches.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

A small model car is 12 inches long and the actual car is 132 inches long.

To find the scale factor:

When both the original dimensions and the new dimensions are known, the scale factor may be determined.

The following is a basic formula to determine a figure's scale factor:

Scale factor = Dimension of the new model ÷ Dimension of the actual car

Scale factor = 12 / 132

Scale factor = 1/11

Therefore, the scale factor is 1/11 inches.

To learn more about the scale factor;

https://brainly.com/question/29464385

#SPJ2

a. the amount that the gymnast wins is a discrete random variable. b. the gymnast can expect to win $86,000 on average. c. the population variance of the amount that the gymnast wins is $708,000,000.

(a) A discrete random variable is a variable that can take on a countable number of distinct values. In this case, the random variable represents the amount that the gymnast wins. As the gymnast can win either a gold, silver, or bronze medal, the random variable can take on the values $100,000, $80,000, and $50,000, respectively. Therefore, the amount that the gymnast wins is a discrete random variable.

(b) To calculate the amount that the gymnast can expect to win, we need to find the expected value or the mean of the random variable. The expected value is calculated by multiplying each possible value of the random variable by its corresponding probability and summing them up.

Expected value (E) = (Probability of winning gold * Amount for gold) + (Probability of winning silver * Amount for silver) + (Probability of winning bronze * Amount for bronze)

E = (0.6 * $100,000) + (0.2 * $80,000) + (0.2 * $50,000)

E = $60,000 + $16,000 + $10,000

E = $86,000

Therefore, the gymnast can expect to win $86,000 on average.

(c) The population variance (σ^2) measures the spread or variability of the random variable. It is calculated by taking the sum of the squared differences between each value of the random variable and the expected value, weighted by their probabilities.

Variance (σ^2) = [(Value 1 - E)^2 * Probability 1] + [(Value 2 - E)^2 * Probability 2] + [(Value 3 - E)^2 * Probability 3]

Variance = [($100,000 - $86,000)^2 * 0.6] + [($80,000 - $86,000)^2 * 0.2] + [($50,000 - $86,000)^2 * 0.2]

Variance = [($14,000)^2 * 0.6] + [(-$6,000)^2 * 0.2] + [(-$36,000)^2 * 0.2]

Variance = $117,600,000 + $72,000,000 + $518,400,000

Variance = $708,000,000

Therefore, the population variance of the amount that the gymnast wins is $708,000,000.

Learn more about random variable here

https://brainly.com/question/17217746

#SPJ11

r = -189

-13 = r/9 + 8

Subtract 8 on both sides

-21 = r/9

Multply 9 on both sides

-189 = r

Answer:

r = -189

Step-by-step explanation:

-13 = r/9 + 8

-13 - 8 = r/9

-21 = r/9

-21 × 9 = r

-189 = r

The graph of the derivative of a function provides information about the rate of change and the slope of the original function at different points.

To graph the derivative of a function given the graph of the function, you can follow these steps:

Start with the graph of the original function. Make sure you have a clear understanding of its shape and behavior.

Identify critical points on the graph of the function, which are the points where the function has maximum or minimum values or where its slope changes abruptly.

Use the information from the critical points to determine the intervals where the derivative is positive or negative. In the intervals where the function is increasing, the derivative will be positive, and in the intervals where the function is decreasing, the derivative will be negative.

Find any vertical asymptotes or discontinuities in the original function. These points will also affect the behavior of the derivative.

Plot the derivative on a separate graph, using the information from steps 3 and 4. On the derivative graph, mark positive values above the x-axis and negative values below the x-axis.

Indicate the critical points and any vertical asymptotes or discontinuities on the derivative graph.

Connect the points on the derivative graph smoothly, considering the behavior of the original function and the values of the derivative at different points.

By following these steps, you can create a graph of the derivative that provides information about the rate of change and the slope of the original function at different points. The derivative graph helps in understanding the increasing and decreasing behavior of the function and provides insights into its concavity and local extrema.

Learn more about derivative of a function here:

https://brainly.com/question/28104078

#SPJ11

The computation time for the out-degree of every vertex, for an adjacency-list representation of a directed graph,is equals to O(|E|+|V|).

Adjacency-list is one of the most basic and frequently used node graph representation of a network. In this representation of a directed graph, the out-degree of a vertex is simply the number of adjacent vertices in the list

The time to calculate the out-degree is straight forward. The out-degree of a vertex is defined as the number of edges pointing outwards from that vertex. Consider the following adjacency list.

1 -> 2 -> 3

2 -> 5

3 -> 4

4 -> 2 -> 3

5 -> 1

To calculate the out-degree we loop in this adjacency list and count the number of vertices in each of the lists. For example, Vertex 4 in the above list has 2 nodes in the list. Therefore outdegree of node 4 is 2. Clearly time take by this algorithm is O(|E|+|V|).

For more information about adjacency-list, visit :

https://brainly.com/question/29889936

#SPJ4

Answer:

1.33

Step-by-step explanation:

A function that represents the balance y (in dollars) of the investment account after t year is y = $120 × (1 + 0.064/4)^(4t).

The balance of an investment account is the sum of all deposits and withdrawals to/from an investment account, considering the manager's compensation calculation.

After the trading interval ends and compensation is paid out, the account balance will equal the equity.

Let y be the investment account balance (in dollars) after t years. Then,

y = $120 × (1 + 0.064/4)^(4t)

Where the interest rate is 6.4% and is compounded quarterly.

So the interest rate per quarter is 0.064/4.

To know more about investment account, here

https://brainly.com/question/28700349

#SPJ4

In this particular question, the baseball team sold 215 youth tickets for P3 each and 467 adult tickets for P7 each. The question asks which expression can be used to find how much more money the baseball team made on adult tickets than on youth tickets. The expression that can be used to find this difference is:\( D. (467 × 7) – (215 × 3)\).This is because the expression calculates the total revenue from the adult tickets sold (467 × 7) and subtracts the total revenue from the youth tickets sold (215 × 3). The resulting value will be how much more money the baseball team made on adult tickets than on youth tickets.

for such more questions on total revenue

https://brainly.com/question/31242695

#SPJ11

Answer:

250

Step-by-step explanation:

costs 8 per hat just subtract 8 from 20 then divide by 3,000

Answer:

250 yes

Step-by-step explanation:

Answer:

5.0

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

5*14=70 4*14=56 70+56=126 70-56=14

\( \huge \colorbox{yellow}{Question}\)

\(2x + y = 12\)

\( \huge \colorbox{yellow}{Answer}\)

\(x = y - 3 \: (equation \: 1)\)

\(2x + y = 12 \: (equation \: 2)\)

Substituting the value of x in

( equation 2)

\(2x + y = 12\)

\(2(y - 3) + y = 12\)

\(2y - 6 + y = 12\)

\(2y + y = 12 + 6\)

\(3y = 18\)

\(y = 18 \div 3\)

\(y = 6\)

Now we get y = 6

Substituting the value of y in

( equation 1 )

\(x = y - 3\)

\(x = 6 - 3\)

\(x = 3\)

Now we get x = 3

\( \huge \mathsf\red{Final \: Answer}\)

A polynomial regression model is a good choice for this data, as it can fit the trend of increasing population growth over time.

A function is a mathematical concept that assigns a unique output value for each input value.

In mathematical notation, a function is usually expressed as "f(x)" where "x" is the input and "f(x)" is the corresponding output. For example, a function could be defined as f(x) = x^2, which means that for any value of x, the function will calculate and return the square of that value.

To model the world population data, we can use a mathematical function to fit the data points. A polynomial regression model is a good choice for this data, as it can fit the trend of increasing population growth over time.

To find the expected world population in 2017, we would need to estimate the polynomial regression model using the data points provided and then evaluate the model at the year 2017.

Research shows that the actual world population in 2017 was approximately 7.5 billion, which is higher than our estimated value based on the limited data points provided. This highlights the importance of considering additional factors and data when making predictions about the world population.

To know more about regression visit:

https://brainly.com/question/13327687

#SPJ4

The complete question is

Answer:

Step-by-step explanequation of line passing through (x₁,y₁):-

y-y₁=m(x-x₁)

The equation of line which passes through (4,3) and slope is 5/4

y-3=5/4(x-4)

4y-12=5x-20

5x-4y-8=0ation:

Interpreting a correlation requires careful consideration of factors such as causation, confounding variables, nonlinearity, outliers, and sample characteristics.

Interpreting a correlation between two variables can be difficult for several reasons:

Causation vs. correlation: Correlation measures the strength and direction of the relationship between two variables but does not imply causation. Just because two variables are correlated does not mean that one variable causes the other. It is essential to avoid making causal claims based solely on correlation.

Confounding variables: Correlations can be influenced by the presence of confounding variables that affect both variables being studied. Without accounting for these confounding factors, it can be challenging to determine the true nature of the relationship between the variables of interest.

Nonlinear relationships: Correlation coefficients, such as Pearson's correlation coefficient, measure linear relationships between variables. If the relationship is nonlinear, the correlation may not accurately capture the association. It is crucial to consider other types of analysis or transformations to capture more complex relationships.

Outliers and influential observations: Extreme values or outliers in the data can have a significant impact on correlation coefficients. These outliers may distort the correlation and lead to incorrect interpretations. It is important to examine the data for influential observations that may unduly influence the correlation results.

Sample size and representativeness: The size and representativeness of the sample can affect the reliability and generalizability of correlation results. Small or biased samples may not provide a representative picture of the population, leading to misleading interpretations.

Overall, it is important to use correlations as part of a broader analysis and consider additional evidence before drawing definitive conclusions about the relationship between variables.

Learn more about variables at: brainly.com/question/15078630

#SPJ11

The data plotted on the scatter plot reveals there is a positive linear association between the number of hours worked and tips earned. (Option C).

Recall:

The scatter plot given shows a trend line of the data. It also shows that as time worked increases, tips earned also increases. This shows a positive linear association between tips earned and time worked. (Option C).

Learn more about scatter plot on:

https://brainly.com/question/6592115

Answer:

First, subtract the budgeted amount from the actual expense. If this expense was over budget, then the result will be positive.

Next, divide that number by the original budgeted amount and then multiply the result by 100 to get the percentage over budget. If your expenses were lower than your budgeted amount, then this number will be negative, describing the percentage under budget.

Answer:

Length times width

Step-by-step explanation:

Example:

If the length is 4

The width is 3

4x3=12

The area is 12.

We need to give an example of 2 systems of linear equation where we have 0 solution, 1 solution and infinitely many solution. Then we will provide an explanation to determine each of them without graphing.

Example for 1 solution:

To ascertain the two linear equations give one solution, we will have a value for x

Subtract equation (1) from (2):

Example for 0 solution:

To determine 0 solution system of linear equations, when we solve for the variable the left hand side will not be equal to the right hand

solving the above linear equation:

Example of infintely many solutions:

To determine that the solution is infinitely many solutions, the left hand side will be equal to right hand side.

Behaviour of the solution of the system of equations when graphed:

For a system of 2 linear equations with 1 solution:

The lines will intersect at a point. The point of intersection is 1 and it will be the solution of the system of equations

For a system of 2 linear equations with 0 solution:

The lines from both equations will be parallel to each other. Indicating the lines do not intersect. Hence, there is no solution

For a system of 2 linear equations with infinitely many solutions:

Both equation will give same line when graphed. So, the solution will be infinitely many

Answer:

1.5

Step-by-step explanation:

the slope is regarded as :

= \(\frac{y2-y1}{x2-x1}\)

this is also known as the gradient , meaning the differences of two y values divided by the differences of the two corresponding x values

take two values on the slope and put in the form ( x,y)

we shall use two points A and B

A = (80 , 100)

B =  (20 , 10)

now use the formula:

\(\frac{10-100}{20-80}\)

=\(\frac{-90}{-60}\)

= \(\frac{3}{2}\)

also can be represented into an integer form

answer is 1.5

The sampling error is usually smaller with larger samples and decreases as the sample size increases.

When we talk about sampling error, we refer to the discrepancy or difference between the sample statistic (e.g., mean, proportion) and the population parameter it is intended to estimate. The sampling error arises due to the inherent variability in the data and the fact that we are working with a sample rather than the entire population.

By increasing the sample size, we are capturing a more extensive representation of the population, reducing the impact of random variation. As a result, the estimate tends to be more accurate and closer to the true population parameter.

Therefore, larger samples tend to have smaller sampling errors.

It's important to note that although increasing the sample size generally reduces sampling error, there may be other factors to consider, such as the sampling design, representativeness of the sample, and the quality of data collection, which can also influence the accuracy of the estimate.

Learn more about sampling error here

brainly.com/question/13370015

#SPJ4

Answer:

17

Step-by-step explanation:

Answer:

Answer

see explanation

Step-by-step explanation:

Using the rule of exponents

= , then

=

His mistake was in subtracting 3 rather than - 3

Answer:

B. \(T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}\)

Step-by-step explanation:

The approximate population in the region is the product of the number of cities in a region and the approximate number of people per city, that is:

\(T(x) = C(x)\cdot P(x)\) (1)

If we know that \(C(x) = 2.9\cdot (1.05)^{x}\) and \(P(x) = (1.05)^{3\cdot x + 5}\), then the formula for the approximate population in the region is:

\(T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}]\)

\(T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}\)

Hence, correct answer is B.

The probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

To solve this problem, we need to use conditional probability.

The probability of drawing a white ball on the first draw is 8/13 (since there are 8 white balls and 13 total balls in the urn).

If a white ball is drawn on the first draw, then there will be 7 white balls and 5 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a white ball was drawn on the first draw, is 7/12.

If a black ball is drawn on the first draw, then there will be 8 white balls and 4 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a black ball was drawn on the first draw, is 8/12.

Now we can use the law of total probability to find the overall probability of drawing a white ball on the second draw:

P(white on second draw) = P(white on first draw) * P(white on second draw | white on first draw) + P(black on first draw) * P(white on second draw | black on first draw)
= (8/13) * (7/12) + (5/13) * (8/12)
= 56/156 + 40/156
= 96/156
= 8/13

Therefore, the probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

To know more about conditional probability, visit:

https://brainly.com/question/30262438

#SPJ11

The correlation coefficient can take values between -1 and 1, inclusive. A correlation coefficient of -1 indicates negative correlation and 1  indicates positive correlation.

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as the values of one variable increase, the values of the other variable decrease. A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as the values of one variable increase, the values of the other variable also increase.

A correlation coefficient of 0 indicates no correlation, meaning that there is no relationship between the two variables. Correlation coefficients can take any value between -1 and 1, inclusive, including fractional and decimal values.

Positive values indicate positive correlation, negative values indicate negative correlation, and values close to 0 indicate little or no correlation. The magnitude of the correlation coefficient indicates the strength of the relationship between the two variables.

The closer the coefficient is to 1 or -1, the stronger the relationship between the variables.

To learn more about correlation click on,

https://brainly.com/question/16258940

#SPJ4

This is because the values of f(x) in the table match the corresponding values obtained by evaluating the polynomial function for the given input values of the function represented by the data a polynomial function is represented by the data is f(x) = x^3 - x^2 - 24.

A polynomial is an expression with more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable. A polynomial function is a function that includes a polynomial expression with an independent variable (x) that can only take on integer values because of its discrete nature.

Choose the function represented by the data: The polynomial function represented by the data is f(x) = x^3 - x^2 - 24.

A table representing the function f(x) = x^3 - x^2 - 24 is shown below:

x | f(x)

0 | -24

1 | -14

2 | 0

4 | 40

Therefore, the function represented by the data is f(x) = x^3 - x^2 - 24.

The provided table displays the values of the function f(x) for different input values of x. By substituting the corresponding values of x into the function, we can observe the corresponding output values. This allows us to identify the pattern and equation that represents the function.

In this case, the table shows that when x is 0, the value of f(x) is -24. When x is 1, f(x) is -14. When x is 2, f(x) is 0. And when x is 4, f(x) is 40.

Based on these data points, we can conclude that the function represented by the data is f(x) = x^3 - x^2 - 24.

Learn more about polynomial function :

brainly.com/question/30474881

#SPJ11

We find that Option 2, f(x) = \((x^3)/4 + 2x^2 - 24\), matches the data given in the table.

Based on the data given in the table, we need to determine the polynomial function that represents the data.
To do this, we can compare the values of f(x) in the table with the given options for the polynomial functions. We are looking for a function that matches the given data points.

Let's evaluate each option using the x-values from the table:
Option 1: f(x) = \(x^3 - x^2 - 24\)
For x = 0,\(f(0) = 0^3 - 0^2 - 24 = -24\) (matches the data)
For x = 1, \(f(1) = 1^3 - 1^2 - 24 = -24 - 1 - 24 = -49\) (does not match the data)
For x = 2,\(f(2) = 2^3 - 2^2 - 24 = 8 - 4 - 24 = -20\) (does not match the data)
Option 2: \(f(x) = (x^3)/4 + 2x^2 - 24\)
For x = 0,\(f(0) = (0^3)/4 + 2(0^2) - 24 = 0 - 0 - 24 = -24\) (matches the data)
For x = 1,\(f(1) = (1^3)/4 + 2(1^2) - 24 = 1/4 + 2 - 24 = -20.75\)(does not match the data)
For x = 2, \(f(2) = (2^3)/4 + 2(2^2) - 24 = 8/4 + 8 - 24 = -14\)(matches the data)
Option 3: f(x) = -24 - 14(3/3)(3/4)
Simplifying, f(x) = -24 - 14(1)(3/4) = -24 - 14(3/4) = -24 - 10.5 = -34.5 (does not match the data)
Option 4: \(f(x) = -2 1/4 * x^2 + 24\)
For x = 0, \(f(0) = -2 1/4 * 0^2 + 24 = 24\) (does not match the data)
For x = 1,\(f(1) = -2 1/4 * 1^2 + 24 = -2 1/4 + 24 = 21.75\) (does not match the data)
For x = 2,\(f(2) = -2 1/4 * 2^2 + 24 = -2 1/4 * 4 + 24 = -9 + 24 = 15\) (does not match the data)
Option 5: \(f(x) = 3/4 * x^2 - 3x + 24\)
For x = 0, \(f(0) = 3/4 * 0^2 - 3(0) + 24 = 24\) (does not match the data)
For x = 1, \(f(1) = 3/4 * 1^2 - 3(1) + 24 = 3/4 - 3 + 24 = 21.75\) (does not match the data)
For x = 2,\(f(2) = 3/4 * 2^2 - 3(2) + 24 = 3/4 * 4 - 6 + 24 = 3 - 6 + 24 = 21\)(matches the data)

Learn more about polynomial function  from the given link:

https://brainly.com/question/1496352

#SPJ11

Adding a negative number is the same as subtracting its positive.

-> Rewrited as 3 - 6 - 2/5
= 15/5 - 30/5 - 2/5 = -17/5 (= -3.4)