whats 10 divided by 489

Answer:

8.4 is the answer and the circumference is 26.4

Vector addition can be performed using the Parallelogram Geometry, Pythagorean theorem, and Newton's second law, which offer different approaches to accurately determine the resultant vector.

Vector addition involves combining two or more vectors to find their resultant vector. There are several methods to perform vector addition, and the choice of method depends on the specific situation and available information.

One common method is the Parallelogram Geometry, which involves constructing a parallelogram using the vectors as adjacent sides. The diagonal of the parallelogram represents the resultant vector.

The Pythagorean theorem is another useful tool for vector addition when dealing with vectors in two dimensions. It states that the magnitude of the resultant vector is equal to the square root of the sum of the squares of the magnitudes of the individual vectors.

Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by its acceleration, can also be used for vector addition. By considering the forces acting on an object from different directions, their vector sums can be determined.

These principles provide different approaches to vector addition and are applicable in various scenarios, allowing us to accurately determine the resultant vector by considering the geometric, trigonometric, or dynamic aspects of the vectors involved.

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Answer:

do you still need the answer or no?

Answer:

Step-by-step explanation:

let she have x non fiction books

ratio of fiction books to non fiction books is 7:4

7/4=182/x(do cross multiplication)

4*182=7*x

728/7=x

104=x

therefore she has 104 non fiction books

The number of non-fiction books read by Roxanne is 104.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Given that,

The ratio of fiction books to non-fiction books is 7 : 4.

The number of fiction books is 182.

Suppose the number of non-fiction books be x.

Then, 7 : 4 = 182 : x

=> 7/4 = 182/x

=> x = (182 × 4)/7

       = 104

Hence, the number of non-fiction books read is 104.

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Answer:

164.92

Step-by-step explanation:

First, you have to get the tax, which would be 199 x 0.08. this gives you 15.92. Keep that in your head. Now you do 199-50 to get 149. Add this and the tax together to get 164.92

Answer:

$164.92

Step-by-step explanation:

Phone price: $199

Sales tax: 8%

Amount of sales tax: 8% of $199 = 0.08 × $199 = $15.92

Price including tax: $199 + $15.92 = $214.92

Rebate: $50.00

Final cost including tax and rebate: $214.92 - $50.00 = $164.92

Answer: $164.92

Answer:

im doing the test rn and i believe the other person is correct :)

Step-by-step explanation:

Answer:

x = 144

Step-by-step explanation:

\( x^\frac{1}{2} - 4 = 8 \)

Add 4 to both sides.

\( x^\frac{1}{2} = 12 \)

Square both sides since x^(1/2) is the same as sqrt(x).

\( (x^\frac{1}{2})^2 = (12)^2 \)

\( x^{\frac{1}{2} \times 2} = 144 \)

\( x^1 = 144 \)

\( x = 144 \)

Answer:

a

Step-by-step explanation:

x² - 6x + 9 = 25 ( subtract 25 from both sides )

x² - 6x - 16 = 0 ← in standard form

(x + 2)(x - 8) = 0 ← in factored form

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 8 = 0 ⇒ x = 8

Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.

This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.

The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.

In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.

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Answer: D

Step-by-step explanation:

Answer:

20 x 9 = $180 just multiply hours worked times rate per hour

The probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors is approximately 0.5905. Hence the correct answer is (a) 0.5905.

To calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors, we can use the concept of binomial probability.

Let's denote the probability of a microprocessor being defective as p = 0.10 (10% defective) and the number of microprocessors Dell tests as n = 5.

We want to calculate the probability that all five tested microprocessors are non-defective, which is equivalent to the probability of having zero defective microprocessors in the sample.

Using the binomial probability formula, the probability of getting exactly k successes (non-defective microprocessors) in n trials is:

\(\[P(X = k) = \binom{n}{k} \cdot p^k \cdot (1 - p)^{n - k}\]\)

For this case, we want to calculate P(X = 0), where X represents the number of defective microprocessors.

\(\[P(X = 0) = \binom{5}{0} \cdot 0.10^0 \cdot (1 - 0.10)^{5 - 0} \\= 1 \cdot 1 \cdot 0.9^5 \\\\approx 0.5905\]\)

Therefore, the correct answer is (a) 0.5905.

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The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

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Answer:

23 males and 12 females

Step-by-step explanation:

x = # of females

y = # of males

x + y = 35

x + x + 11 = 35

2x + 11 =35    (SUBTRACT 11 FROM BOTH SIDES)

2x = 24          (DIVIDE BOTH SIDES BY 2)

x = 12 females

x + y =35

12 + y = 35     (SUBTRACT 12 FROM BOTH SIDES)

y = 23 males

23 males + 12 females = 35 students

Answer:

Following are the solution to the given choices:

Step-by-step explanation:

In point a:

Calculating the variance of the test grade:

\(\to var(A+B)=var A + var B + 2 cov(A,B)\)

                       \(=25+36+2(0.8)\\\\=25+36+1.6\\\\=62.6\)

In point b:

\(\to var(A-B)=varA + var B - 2 cov(A,B)\)

                       \(=25+36-2(0.8)\\\\=25+36-1.6\\\\=59.4\)

The relationship between the top 20 students is also slight, so the top 20 students are more university-like than all secondary students.

Crime rates in the UCR (Uniform Crime Report) are expressed as the number of reported crimes per 100,000 population.

This allows for a standardized comparison of crime levels across different areas and time periods, taking into account population size. The UCR presents raw figures, crime rates, and changes in both the number and rate of crime over time to provide a comprehensive view of crime trends.

This is calculated by dividing the number of reported crimes by the population of the area and multiplying the result by 100,000. This helps to standardize the data and allows for comparison across different jurisdictions and time periods. Additionally, the UCR also presents changes in crime rates over time, allowing for the identification of trends and patterns in crime.

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Answer:

C

Step-by-step explanation:

Answer:

-1 1/6, -2/3, -1/6, 1/2

Step-by-step explanation:

The final answer

If the students filled 1859 seats leaving 35 percentage vacant then the total seats in the theater were 2860.

Given that the students filled 1859 seats in the theater and the percentage of vacant seats is 35%.

We are required to find the total number of seats in the theater.

Percentage is the number or ratio that is expressed in terms of 100.

The number of seats that are not vacant in the theater=1859.

Percentage of vacant seats=35%

Remaning percentage will be filled seats=100%-35%

=65%

The total number of seats will be 1859*100/65

=2860

Hence if the students filled 1859 seats leaving 35 percent  vacant then the total seats in the theater were 2860.

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Answer:

2,860

Step-by-step explanation:

person above

The correct representations of the inequality –3(2x – 5) < 5(2 – x) are  –6x + 15 < 10 – 5x  and an open circle is at 5 and a bold line that starts at 5 and is pointing to the right which is denoted as option C and D.

This is referred to as a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Workings:

-3(2x-5)<5(2-x)

-3(2x-5)<5(2-x)

-6x+15<10-5x --- C

Subtract 15 from both the sides of the inequality

-6x + 15 -15 < 10 -5x -15

-6x < -5 -5x

-6x +5x < -5

-x < -5

Multiply both sides by (-1) ,

x > 5 .

x> 5 on the number line depicts an open circle is at 5 and a bold line starts at 5 and is pointing to the right .

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The full question is:

Which are correct representations of the inequality -3(2x - 5) < 5(2 - x)? Select two options.

(a) x < 5

(b) –6x – 5 < 10 – x

(c) –6x + 15 < 10 – 5x

(d) A number line from negative 3 to 7 in increments of 1 , An open circle is at 5 and a bold line that starts at 5 and is pointing to the right.

(e) A number line from negative 7 to 3 in increments of 1,  An open circle is at negative 5 and a bold line that starts at negative 5 and is pointing to the left.

The probability of getting heads at least twice is 0.5

Since we are given two-sided coin, where the probability of getting heads is equal to the probability of getting tails.NO of outcomes in this case is 2,The probability of getting a head = 1/2, similarly probability of getting a  tail is =1/2 .So when a coin is flipped three times, the sample space for the event will be (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT),  H stands for head and T stands for tails, here for tossing the coin the number of outcomes is 8  .So the probability of getting at least two heads is:  4/8= 1/2 =0.5

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A> The equation for the line is y = -0.1x + 2600

B> The value of the car is $16,500

From the table, we know that for every 6000 miles added there is a decrease in the value by $600.

A> So it is the function of one order

y = kx + b

25500 = 5000k + b

24800 = 12000k + b

After equating it we get

b = 26000 and k = -0.1

Now put the value of b and k in the equation, and we get

y = -0.1x + 26000

Therefore the equation is y = -0.1 + 26000

B> When we put the value of x = 95000, we get

y = -0.1 × 95000 + 26000

  = 16500

Therefore the cost of the car is $16,500

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Answer:

298781

Step-by-step explanation:

Answer:

28/5

Step-by-step explanation:

The correct answer of the operation is option B: 4x^2 - 9.

To perform the operation (2x-3)(2x+3), we can use the FOIL method, which stands for First, Outer, Inner, Last. Let's go through the steps:

First: Multiply the first terms of each binomial.

(2x)(2x) = 4x^2

Outer: Multiply the outer terms of each binomial.

(2x)(3) = 6x

Inner: Multiply the inner terms of each binomial.

(-3)(2x) = -6x

Last: Multiply the last terms of each binomial.

(-3)(3) = -9

A binomial is a two-term algebraic expression that contains variable, coefficient, exponents and constant, a binomial is an expression that has two unlike terms connected through an addition or subtraction operator in between.  

Now, let's combine the like terms:

4x^2 + 6x - 6x - 9

Notice that the terms 6x and -6x cancel each other out.

Simplifying further, we have:

4x^2 - 9

The correct answer is option B: 4x^2 - 9.

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Answer:

63 and 53

Step-by-step explanation:

you could use trail and error. So:

13+23=9

33+43=91

63+73=559

53+63=341

Given the information provided, we know that the average (mean) length of time people keep their cars before replacing is 9 years, and the standard deviation is 2 years.

We are asked to analyze a randomly selected person in this context.

To determine the probability or characteristics related to this randomly selected person, we need more specific information or a question to address.
Without additional details or a specific inquiry, we cannot provide a meaningful answer or analysis.

However, based on the average and standard deviation provided, we can make general statements about the distribution of car ownership duration within the population.

The average of 9 years suggests that, on average, people tend to keep their cars for around 9 years before replacing them.
The standard deviation of 2 years indicates that there is some variability in car ownership duration, with some individuals keeping their cars for longer or shorter periods.

If you have a specific question or scenario related to the randomly selected person, please provide more details, and I'll be happy to assist you further.
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The solution to the system of equations is (-10/3, 22/15) means there is only one unique solution.

The solution to the system of linear equations need to find the point the two lines intersect.

From the given information can see that one line passes through (-10, 4), (-5, 3) and (0, 2) the other line passes through (-8, 0), (-5, 3) and (0, 8).

The equations of the two lines using the slope-intercept form:

Line 1:

slope = (3-4)/(-5+10)

= -1/5

Using the point-slope form with the point (-5, 3), we get:

y - 3 = (-1/5)(x + 5)

Simplifying, we get:

y = (-1/5)x + 4

Line 2:

slope = (3-0)/(-5+8) = 1

Using the point-slope form with the point (-5, 3), we get:

y - 3 = 1(x + 5)

Simplifying, we get:

y = x + 8

Now, we can set the two equations equal to each other and solve for x:

(-1/5)x + 4 = x + 8

Multiplying both sides by 5, we get:

x + 20 = 5x + 40

Simplifying, we get:

6x = -20

x = -10/3

Substituting x = -10/3 into either equation, we can solve for y:

y = (-1/5)(-10/3) + 4 = 22/15

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Answer:

12x -7

Step-by-step explanation:

Answer: the engineer counted t/26 trucks

Step-by-step explanation:

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