Why does the midpoint partition a segment into a 1 1 ratio?

Answer:10

Step-by-step explanation:

Answer:

x=8

Step-by-step explanarion:

Step 1

multiply the parenthesis with the factor 3

6x+12=-36

now, subtract 12 from -36

6x=-48

and finally we divide 6 by -48

and are left with

x=-8

hope this helps :)

The least-squares regression line is used to predict the values of one variable based on the values of the other variable. In this case, the Verbal score can be predicted from the Math score.

The formula for the least-squares regression line is: Verbal = a + b * Math, where a is the intercept and b is the slope. The least-squares regression line for predicting Verbal score from Math score can be determined using a calculator or a statistical software package.

Once the least-squares regression line has been determined, it can be used to make predictions about the Verbal score for a given Math score. For example, if a student scores 600 on the Math portion of the SAT, the least-squares regression line can be used to predict their Verbal score.

The least-squares regression line is a useful tool for analyzing the relationship between two variables. It can be used to identify patterns and trends, and to make predictions about future values.

However, it is important to remember that correlation does not equal causation, and that other factors may be influencing the relationship between the two variables. The least-squares regression line should be used as a starting point for further analysis, rather than as a definitive answer.

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A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

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The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98

The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?

The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:

Minimum value = 35

First quartile Q1 = 68

Median = 77

Third quartile Q3 = 83

Maximum value = 97

The interval 68–83 is the range between Q1 and Q3.

Thus, it is the interquartile range.

The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15

The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.

Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98

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Answer: 12

Step-by-step explanation:

Answer:

A B D

Step-by-step explanation:

C might be missing something.

but even without that it might be a trick question, as

15g + 5 could be considered to have the following terms :

15g

15

g

5

so, it depends on what convention your teacher defined with you. because internationally this is not precisely defined as my hint about 15g + 5 shows.

some people consider a multiplication or division a combination of several items into one term.

some don't.

some consider a multiplication or division a term, and then the parts of that again as terms (as in my example), and some don't.

it really depends on your teacher and his/her definitions.

Random sampling do not complicates the analysis of cross-sectional data

Sampling is just an action of taking samples or subsets of a given data set for analysis. This means that when sampling is done, the next stage for the samples, are for them to be analyzed.

There different methods of sampling including random sampling. In this type, each member of the samples have equally probability of being chosen.

A cross-sectional data analysis is the analysis of samples or subsets at a fixed point in time. A systematic random sampling method is used in the analysis of cross-sectional data. And when this used, then each combinations of individuals samples in a data set has an equal chance of being selected.

Hence, the statements that says random sampling complicates the analysis of cross-sectional data is False.

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Answer:

about 23.0979

Step-by-step explanation:

tan 57 = n/15

multiply 15 on both sides ---> 15(tan 57) = n/15 (15)

n is about 23.0979

The proprtions are  25/10 = 5/2 and 3/4 = 15/20

Proportion is an equation that defines that the two given ratios are equivalent to each other e.g. 1/3 = 3/9

25/10 and 5/2  are proportions:

25/10 = (5×5)/(5×2)      (Divide both the numerator and denominator by 5)

25/10 = 5/2

3/4/10 and 15/20  are proportions:

3/4 = (3×5)/(5×4)      (Multiply both the numerator and denominator by 5)

3/4 = 15/20

Therefore, 25/10 = 5/2 and 3/4 = 15/20 are proprtions

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a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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Answer:

Step-by-step explanation:

lets take the top part as 1 and the seconds part as 2

so for the first part

1 Area= L*B

so 8*5 =40

2 Area=L*B

so 11*4=44

44+40=84cm2

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The percentile score of 71 on test score is 27 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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Solution

Area of the rectangle = length x breadth

A. Write an equation to showing relationship between x and y:

The equation for the relationship between x and y is

3x + 2y = 30

Answer:

A) -1.7 x 10^-4 D)-0.00017

Step-by-step explanation:

Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.

Answer:

A) -1.7 x 10^-4 D)-0.00017

Step-by-step explanation:

Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.

Step-by-step explanation:

To determine the number of miles David drove the truck, we need to subtract the base fee and divide the remaining amount by the additional charge per mile.

Let's denote the number of miles driven by 'm'. The equation can be set up as follows:

$209.57 - $14.99 = $0.94 * m

Simplifying the equation:

$194.58 = $0.94 * m

To solve for 'm', we divide both sides of the equation by $0.94:

m = $194.58 / $0.94

m ≈ 206.7

Therefore, David drove the truck for approximately 206.7 miles. Since it's not possible to drive a fraction of a mile, we can assume that David drove either 206 or 207 miles, depending on the rounding convention used.

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Based on the description of the data set, the age distribution can be described as right-skewed or positively skewed. The majority of individuals falling below the age of 25 indicate a concentration of data towards the younger end of the spectrum.

However, the presence of a small percentage of individuals over 50 and a few in their 80s suggests a tail that extends towards the older ages.

In a right-skewed distribution, the tail of the distribution is stretched out towards the higher values. This indicates that the data is skewed to the right, with the mean being pulled towards the higher ages due to the presence of a few relatively older individuals. The bulk of the data is concentrated towards the left side (younger ages), while the right side (older ages) contains a smaller number of observations that contribute to the tail.

It's worth noting that without specific numerical values or a visual representation of the data, it is difficult to provide a precise characterization of the shape of the age distribution. However, based on the information provided, a right-skewed distribution seems to be a reasonable description considering the concentration of younger individuals and the presence of a smaller percentage of older individuals.

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let's first off, convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)

Answer:

4.5 pie cubic inches

Answer:

B. 4.5π cubic inches

Step-by-step explanation:

The volume of a cylinder is given by the formula below, where r is the radius of the base and h is the height.

\(\boxed{\text{Volume of cylinder}=πr^2h}\)

Given: diameter= 3 in, height= 2 in.

Diameter= 2(radius)

r= 3 ÷2

r= 1.5

Substitute the value of r and h into the formula:

Volume of cylinder

= π(1.5²)(2)

= 4.5π in³

Thus, B is the correct option.

Additional:

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Answer:

15 q4. + 7p2q2 is the correct answer

For m >1 the true are f(n) = Omega(g(n),g(n) = Big-O(f(n)),g(n) = Big-O(g(n)) and g(n) = Big-O(g(n) + n).The options that are correct is b,c,e,f.

Let's analyze each option:

a. f(n) = Theta(g(n))

This option is not true because f(n) is not bounded both above and below by g(n). Theta notation requires both upper and lower bounds to hold.

b. f(n) = Omega(g(n))

This option is true because f(n) is bounded below by g(n). Omega notation only requires a lower bound to hold.

c. g(n) = Big-O(f(n))

This option is true because g(n) is bounded above by f(n). Big-O notation requires an upper bound to hold.

d. g(n) = little-omage(f(n))

This option is not true because little-omega notation requires a strictly smaller growth rate, and in this case, f(n) and g(n) have the same growth rate.

e. g(n) = Big-O(g(n))

This option is true because g(n) is bounded above by itself. Big-O notation can be used to describe the upper bound of a function in terms of itself.

f. g(n) = Big-O(g(n) + n)

This option is true because g(n) + n is an upper bound for g(n). Big-O notation allows for tighter upper bounds.

g. f(n) = little-o(f(n))

This option is not true because little-o notation requires a strictly smaller growth rate, and in this case, f(n) has the same growth rate as itself.

h. f(n) = little-o(g(n))

This option is not true because little-o notation requires a strictly smaller growth rate, and in this case, f(n) and g(n) have the same growth rate.

In summary, the true options are:

b. f(n) = Omega(g(n))

c. g(n) = Big-O(f(n))

e. g(n) = Big-O(g(n))

f. g(n) = Big-O(g(n) + n)

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The probable question may be:
Given f(n) = mn and g(n) = 2n for m >1

Indicate which is true:

a. f(n) = Theta(g(n))

b. f(n) = Omega(g(n))

c.g(n) = Big-O(f(n))

d. g(n) = little-omage(f(n))

e. g(n) = Big-O(g(n))

f. g(n) = Big-O(g(n) + n)

g. f(n) = little-o(f(n))

h. f(n) = little-o(g(n))

Answer:

about 240.8551 mm

Step-by-step explanation:

The value of PV based on the question requirements is given as R27 281,09.

There is a consistent increase in the withdrawals, with a growth rate of 6% per annum. The interest accrues at a yearly rate of 8%, and is compounded twice a year.

Having an interest rate that is calculated and added every three months. The accelerated growth of withdrawals surpasses the pace at which interest is accumulating, causing the eventual depletion of the savings account's value.

To calculate the value of the savings account, we need to use the future value of an annuity formula. The formula is:

\(FV = PV * [((1 + r)^n - (1 + g)^n) / (r - g)]\)

where:

FV is the future value of the annuity

PV is the present value of the annuity

r is the interest rate

n is the number of payments

g is the growth rate

In this case, the present value is the amount that needs to be deposited into the savings account, the interest rate is 8% p.a. compounded quarterly, the number of payments is 6 (24 / 4), and the growth rate is 6% p.a. compounded semi-annually.

Plugging these values into the formula, we get:

\(FV = PV * [((1 + r)^n - (1 + g)^n) / (r - g)]\\FV = PV * [((1 + 0.02)^6 - (1 + 0.03)^6) / (0.02 - 0.03)]\\FV = PV * 10.766\)

Solving for PV, we get:

PV = FV / 10.766

PV = 27 281,09

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Answer:

A

Step-by-step explanation:

A is equal to 5d-5

I just went through all eh choices

It can’t be b or c becuase when distributed, it automatically is -5d+25 or vice versa with a different sign so their out

D is impossible becuase you can’t jsut flip a subtraction problem

And A is possible because adding a negative basically means subtracting so if flipped The signs have to change

Greek number prefixes are employed in the naming of molecular (covalent) substances.

Greek number prefixes are employed in the naming of molecular (covalent) substances. Prefixes are always combined in order of size (left-to-right in the table below). For instance, "heptadecatetracta" (7 + 10 + 400) would be the prefix for the number 417.

We utilise prefixes (mono-, di-, tri-, etc.) at the beginning of each element in molecular compounds to denote the element's subscript, but we only use the prefix mono- for the compound's second element.

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Answer:

Step-by-step explanation:

b is the independent variable.

m is dependent on b.

If 100 boxes are sold, the money collected is 30·100 = $3,000.

They collected $1530.

$1530 × (1 box)/($30) = 51 boxes sold

Among the options given in the question, the following are the properties of the linear correlation coefficient:

The linear correlation coefficient is always between−1 and 1. That​ is,−1≤r≤1.

A linear correlation of −0.742 suggests a stronger negative association between two variables than a linear correlation of −0.472.

If r=−​1, then a perfect negative linear relation exists between the two variables.

Properties of linear correlation coefficient:

Linear correlation coefficient is a value calculated from given data and used to measure the strength of linear relationship between two variables, for instant between x and y variables.

The sign of this coefficient (r) indicates the direction linear relationship will take between x and y. Below are some properties of the linear correlation coefficient:

Now, the properties of the linear correlation coefficient among the given ones in the question are:

b. The linear correlation coefficient is always between−1 and 1. That​ is,−1≤r≤1.

d. A linear correlation of −0.742 suggests a stronger negative association between two variables than a linear correlation of −0.472.

f. If r=−​1, then a perfect negative linear relation exists between the two variables.

Hence, options b, d and f are correct.

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