round 75,499 to the nearest thousand

We can deduce that option A is likely to be true based on the given graph of rolling dice median data.

The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.

The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).

This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.

However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.

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Solution

Step 1

Write the time function equation

Step 2

d = 3 meters

Final answer

0.78 seconds

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Answer:  The top right table

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Given: \(\textsf{y = 30 - 3x}\)

Find:  \(\textsf{Match the table of values with the equation}\)

Solution: First we must understand what form our equation is in and what each of the numbers represent.  This form is known as the slope intercept form which is formatted as y = mx + b.  Our equation is slightly re-ordered but we can change that by converting it to y = -3x + 30 where m is equal to -3 and b is equal to 30.  Let us know talk about what m and b are.  M is the slope of the equation or also known as the rise/run or the change in y over the change in x.  B is the y-intercept which is basically the value of y when x is equal to 0.  In this case, our b is equal to 30.

Looking at the tables we can see what the value of y when x is equal to 0 for each table.  The only table that matches up stating that y is equal to 30 when x is 0 is the top right table.

You do not have to go any further but if you want to confirm that the slope is as expected we can do the following:  \(\frac{y_2\ -\ y_1}{x_2\ -\ x_1}\).

Plug in the values and simplify

Therefore, we can confirm that the slope matches up with the given equation as well.  So, the final answer would be that the top right table would correspond to the equation y = 30 - 3x.

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

Answer:

A. 9 miles

Step-by-step explanation:

if you flip one of the sides to be to be diagonal then it is the same length as the road.

Answer:

Perpendicular lines

Step-by-step explanation:

Parallel lines have the same slope.  In contrast, perpendicular lines have negative reciprocal slopes, in which the product of the slopes of two lines result in -1.

Given the two linear equations, y = -5x + 1 and x - 5y = 30:

Transform x - 5y = 30 into its slope-intercept form, y = mx + b:

x - 5y = 30

x - x - 5y = - x + 30

-5y = -x + 30

Divide both sides by -5:

\(\frac{-5y}{-5} = \frac{-x + 30}{-5}\)

\(y = \frac{1}{5}x - 6\)  (This is the slope-intercept form of the second equation, x - 5y = 30).

Now that we have both equations, it is easier to see that they have negative reciprocal slopes:

y = -5x + 1  ⇒ slope = -5

\(y = \frac{1}{5}x - 6\)   ⇒ slope =  1/5

Multiplying their slopes together:  -5 × 1/5 = -1. Therefore, these equations represent perpendicular lines.

Answer:

Perpendicular lines

Step-by-step explanation:

Answer:

\(Sales \ Tax \ Amount = Net \ Price \cdot \frac{Sales \ Tax \ percentage}{100}\)

\(21.70 = 331.70 \cdot \frac{sales\ tax \ percentage}{100} \\\\\frac{21.70}{331.70} = \frac{sales\ tax \ percentage}{100}\\\\0.0654 = \frac{sales\ tax \ percentage}{100}\)

Sales Tax Percentage  = 0.0654 × 100 = 6.54%

The function that best models this scenario is C of x equals 3.75 times x if x is less than 5 and 3.25x plus 5 if x is greater than 6.

Let the number of hours be illustrated as x. In this situation, local city park rents kayaks for $3.75 per hour. This will be:

= 3.75 × x

= 3.75x

Also, customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. This will be illustrated as:

= 5 + (3.25 × x)

= 5 + 3.25x

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Answer:

P=5.4

Step-by-step explanation

H=5 times

K=3/5=0.6

K=0.6

P=0.6x3x3=1.8x3=5.4

P=5.4

Answer: it equals 1

Step-by-step explanation:

Cos^2 (x) <_ sin(x)<_ 1 and lim cos^2(x) =1

Here, the given equation is :-

y= 6x -4

then ,

at (0,-4) : y = 6x - 4

or, -4 = 6(0) -4

or -4 = -4. ( this is true )

so (0,-4) satisfies the given equation.

The same process is to be repeated for each and every points and if the LHS = RHS then the point satisfies the equation .

Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

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hello

the answer to the question is:

Arc = θ × r = θ × (π/180) × r = 60 × (π/180) × 5.4 = 1.8π

The correct option is D, The grades on Mr. Mueller's math exam were displayed in a histogram is I and II grades.

A histogram is a graphical representation of a distribution of data that shows how often each value or range of values occurs in a dataset. The horizontal axis of the histogram represents the range of values, while the vertical axis represents the frequency of their occurrence.

Histograms are commonly used to display and analyze large sets of numerical data. They are especially useful when dealing with continuous data, such as heights or weights, where the data can be grouped into intervals or bins. The height of each bar in the histogram indicates the number of observations in the dataset that fall within each interval. Histograms can reveal patterns, such as the shape of the distribution, the presence of outliers, and the presence of gaps or clusters in the data.

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Complete Question: -

The grades on Mr. Mueller's math exam were displayed in a histogram.

Based on this histogram, which of the following could be a list of the exam grades?

I. 55, 55, 60, 60, 65, 65, 70, 70, 70, 70, 75, 75, 80, 85, 85, 85, 85, 85, 90, 90, 95

II. 50, 55, 60, 60, 60, 65, 70, 70, 70, 75, 75, 75, 80, 80, 80, 80, 80, 85, 90, 95, 95

III. 50, 55, 65, 65, 65, 65, 70, 70, 70, 70, 75, 75, 75, 80, 80, 85, 85, 85, 85, 95, 95

a. III only   b. I,II, and III   c. I only   d. I and II

Answer:

4=3

7=6

10=3

Step-by-step explanation:

P4= (3,1), (1,3), (2,2)

P7= (6,1), (4,3), (5,2), (3,4), (2,5), (1,6)

P10= (5,5), ( 6,4), (4,6)

The appropriate indicator to determine if a relationship exists in the population between the independent variable and the dependent variable in simple regression is sample correlation coefficient

The term regression refers the statistical method used in finance, investing, and other disciplines that attempts to determine the strength and character of the relationship between one dependent variable usually denoted by Y and a series of other variables known as independent variables.

Here we need to find in which of the following is the appropriate indicator to determine if a relationship exists in the population between the independent variable and the dependent variable in simple regression

As we know that if you want to check if there's actually a relationship between the values of Y and the values of X that you want to test the strength of association between these two variables are going to be using the concept of correlation coefficient of for clarity, now we can call it the concept of the sample correlation question.

Therefore, the answer to our question is about the makings of a sample correlation coefficients.

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Answer

I think it's acute scalene triangle

Step-by-step explanation:

All the angles are less than 90 degrees, which is acute.

To set up the amortization table, we can use the mortgage and interest formulas as follows:

Mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where M is the monthly payment, P is the principal (the amount borrowed), i is the monthly interest rate (APR divided by 12), and n is the total number of payments (20 years multiplied by 12 months per year).

Interest formula:

I = P * i

where I is the monthly interest payment, P is the remaining principal balance, and i is the monthly interest rate.

Using these formulas, we can set up the following amortization table for the first two months:

Month Payment Principal Interest Balance

1    $400,000

2    

To fill in the table, we need to calculate the monthly payment (M) and the monthly interest payment (I) for the first month, and then use these values to calculate the principal payment for the first month. We can then subtract the principal payment from the initial balance to get the balance for the second month, and repeat the process to fill in the remaining columns.

To calculate the monthly payment (M), we can use the mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where P is the principal amount, i is the monthly interest rate, and n is the total number of payments.

Plugging in the given values, we get:

M = 400,000 [ 0.00279 (1 + 0.00279)^240 / (1 + 0.00279)^240 - 1]

M = $2,304.14

Therefore, the monthly payment is $2,304.14.

To calculate the interest payment for the first month, we can use the interest formula:

I = P * i

where P is the remaining principal balance and i is the monthly interest rate.

Plugging in the values for the first month, we get:

I = 400,000 * 0.00279

I = $1,116.00

Therefore, the interest payment for the first month is $1,116.00.

To calculate the principal payment for the first month, we can subtract the interest payment from the monthly payment:

Principal payment = Monthly payment - Interest payment

Principal payment = $2,304.14 - $1,116.00

Principal payment = $1,188.14

Therefore, the principal payment for the first month is $1,188.14.

To calculate the balance for the second month, we can subtract the principal payment from the initial balance:

Balance = Initial balance - Principal payment

Balance = $400,000 -$1,188.14

Balance = $398,811.86

Therefore, the balance for the second month is $398,811.86.

Using these values, we can complete the first two rows of the amortization table as follows:

Month Payment Principal Interest Balance

1 $2,304.14 $1,188.14 $1,116.00 $398,811.86

2    

To fill in the remaining columns for the second month, we can repeat the process using the new balance of $398,811.86 as the principal amount for the second month. We can calculate the interest payment using the same method as before, and then subtract the interest payment from the monthly payment to get the principal payment. We can then subtract the principal payment from the balance to get the new balance for the third month, and repeat the process for the remaining months of the amortization period.

The value of the funciton of function f(g(x)) for x = 2 is that f(g(2)) is 33.

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

f(x) = x² -3x + 5 and g(x) = -2x

f(g(x)) = f(-2x)

Since the operation of f(x) is x²-3 x+5.

So,  f(-2x) = (-2x)² - 3(-2x) + 5

f(g(x)) = 4x² + 6x + 5

The value of the combined function for x = 2 is

f(g(2)) = 4(2)² + 6(2) + 5

⇒ 16 + 12 + 5 = 33

Hence "The value of the funciton of function f(g(x)) for x = 2 is that f(g(2)) is 33".

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Answer:

  0, 0, 0

Step-by-step explanation:

You want the sum of a number and its opposite for the numbers ...

  3, 7.5, and -2 2/3

The definition of the additive inverse (opposite) of a number is that it is the number that produces 0 when summed with the original number.

Any number summed with its opposite will give zero.

The sums are ...

The function \(f(x)\) = x + 4 / \(\sqrt{x}\) is continuous on the interval (0,∞).

The domain of the function, which is all real numbers greater than zero, determines this interval. To put it another way, the function is defined for all real number larger than zero. The function range includes all real numbers bigger than 4.

Because there are no discontinuities in the domain, the function is continuous. The function denominator, \(\sqrt{x}\) , is never 0, hence the denominator can never be zero, and so there are no holes or jumps in the graph.

The function is also continuous since its limit as x approaches 0 is 4. This indicates that when x = 0, the function is continuous. As x increases, the function increases as well, so it is also continuous at the right endpoint of the interval, which is infinity.

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Answer:

32760

Step-by-step explanation:

15!/(15-4)!=32760

Since order matters in the group of four officers we are choosing, we have to use permutations. This scenario is (15P4) because we have 15 people for 4 spots. Apply the formula for permutations.

The different ways are 32760 possible.

The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.

We are given club of fifteen people. we need to pick a president, treasurer, and secretary from the fifteen.

This scenario is (15P4) because, we have 15 people for 4 spots.

= 15!/(15-4)!

=32760

Since the order matters in the group of four officers we are choosing, thus we have to use permutations.

The different ways are 32760 possible.

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The answer is (B) the intersection of events E and F is (4, 6).

Events in probability theory are collections of results from a random experiment. The random experiment in this instance involves tossing a fair six-sided number cube.

Event E is the collection of all even-numbered outcomes, which are 2, 4, and 6. The set of all outcomes greater than 2, which are "3, 4, 5, 6," is Event F.

The group of results that apply to both events is the intersection of the two events. Finding the set of results in this situation that are even and greater than 2 is necessary.

The only two results that meet this requirement are 4 and 6. Hence, the number 4, 6, is where occurrences E and F converge.

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Using triangle classifications, it is found that it would be classified as an isosceles triangle.

In this problem, it has two equal sides/angles, hence, it is classified as an isosceles triangle.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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