How does 12.5/5 reduce to 5/2

The coordinate of the other endpoint of the line segment is (-1, 2).

In geometry, a line segment is a part of a line that has two endpoints. It is the shortest distance between two points on a line. A line segment can be straight or curved, and can be vertical, horizontal, or diagonal.

The length of a line segment can be measured using units such as centimeters, inches, or feet. The midpoint of a line segment is the point that is exactly halfway between its endpoints, and it is located at the average of the x-coordinates and the y-coordinates of the endpoints.

Let (x, y) be the coordinate of the other endpoint of the line segment. Then, we know that the midpoint of the line segment is given by the formula:

midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Substituting the given values, we have:

(1, -2) = ((3 + x)/2, (-6 + y)/2)

Multiplying both sides by 2, we get:

(2, -4) = (3 + x, -6 + y)

Separating the x and y terms, we have:

2 = 3 + x -> x = -1

-4 = -6 + y -> y = 2

Therefore, the coordinate of the other endpoint of the line segment is (-1, 2).

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If the data of the research subjects are presented in a frequency distribution graph, a histogram-type graph should be used.

If the data are presented in a frequency distribution graph, then the type of graph that should be used is a histogram. A histogram is a type of bar graph that displays the distribution of a continuous variable by dividing the range of values into intervals, and bins, and counting the number of observations that fall within each bin.

If the academic majors were nominal a bar graph could also be used to display the frequency of each major. In a bar graph, each category would be plotted on the horizontal axis, and the frequency of students in each category would be plotted on the vertical axis.

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Assuming normal distribution, we can calculate the probability of a woman having a diastolic blood pressure less than 60 mm Hg using a z-score and standard normal distribution table. The probability is approximately 0.04%.

The probability that a randomly selected woman has a diastolic blood pressure less than 60 mm Hg depends on the distribution of the diastolic blood pressure in the population.

Assuming that the diastolic blood pressure in women follows a normal distribution with mean µ and standard deviation σ, we can use the standard normal distribution to calculate the probability.

Let Z be the standard normal random variable, given by:

Z = (X - µ) / σ

where X is the diastolic blood pressure, µ is the mean diastolic blood pressure for women, and σ is the standard deviation of the diastolic blood pressure for women.

To find the probability that a randomly selected woman has a diastolic blood pressure less than 60 mm Hg, we need to calculate the corresponding z-score and then look up its probability in the standard normal distribution table.

The z-score can be calculated as:

Z = (60 - µ) / σ

Once we have the z-score, we can use a standard normal distribution table or software to find the probability. For example, using a table, we can find that the probability of a randomly selected woman having a diastolic blood pressure less than 60 mm Hg is approximately 0.0004, or 0.04%.

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The area will be 25cm²

HOPE IT HELPS YOU♡♡

Using proportions, it is found that the number of islands that each member will have to visit is given by:

c. 19 islands.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there are 684 islands, and 36 members, hence the number of islands per member is given by:

n = 684/36 = 19.

Which means that option c is correct.

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Answer:

x= -4

Step-by-step explanation:

you would first add the 9 to -69 to get -60 then you would divide -60by 15 to get -4

hope this helps

:)

Answer:

15x=-69+9

15x=-60

x=-60/15

x=-4

Step-by-step explanation:

The probability that 7 is recorded at least three times is 7/12 times.

7 is recorded at least three times in one time (A) = (2, 5), (2, 6), (3, 4) (3, 5) (3, 6), (4, 3) ,(4, 4) ,(4, 5) ,(4, 6), (5, 2) ,(5, 3), (5, 4), (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5), (6, 6).

n(A) = 21

7 is recorded at least three times in ten times (B) = 10*n(A)

n(B) = 10*21

      = 210

Total possible outcomes at one time = 36

Total possible outcomes at ten times, [n(S)] = 360

The probability that 7 is recorded at least three times = 7 is recorded at least three times in ten times / Total possible outcomes at ten times

P(B) = n(B) / n(S)

       = 210/360

       = 7/12

Hence,  the probability that 7 is recorded at least three times is 7/12 times.

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Answer:

The correct answer is the option B: It is rational because all integers are rational.

Step-by-step explanation:

To begin with, a rational number is the one that can be expressed as a fraction of two integers and that implicates all integers, both positives and negatives. Moreover, there are some rational numbers that can be expressed as well as a repeating number and others that can be expressed as a terminating number and all that will depend on the last number that the division will cause.  So to sum up, -318 is a rational number because it is an integer and all of them can be divided and expressed as a fraction of two integers.

Answer:

should be 240 in commission, 840 in total.

Answer:

x=3; HJ=21; JK=12

Step-by-step explanation:

One way of the segment addition postulate is that if you have two connected segments on one line, the length of the combined segment is the length of the two smaller segments added together.

\(\text{combined segment}=\text{partial segment}+\text{other partial segment}\)

So, the length of HK = the length of HJ + length of JK

In geometry, the length of a line segment is often simply written as the two letters of their endpoints, so the above equation would be more compactly written as: \(HK=HJ+JK\)

Now, we're given extra information in the problem stating lengths of each of those segments, but some are in terms of some unknown "x" (instead of just a number).  Unfortunate, but it's okay.

One last piece of trickery is that they give \(KH=33\), but we have \(HK\) in our formula.  Looking at the picture, it's the same length to go from K to H, as it is to go from H to K, so \(HK=33\) also.

We'll substitute each of the expressions into the equation above, and solve for x, then we'll solve for the lengths of each of the segments.

\(HK=HJ+JK\)

\(33=(4x+9)+(3x+3)\)

Since each term is separated by addition (no subtraction), we can omit the parentheses from substitution, and since addition is commutative, we can add in any order we want to combine our "like terms" ("like terms" are quantities that can be simplified when added together, for example numbers can be added together and simplified like 1+1 or 3+5... or 9+3.  Another example of like terms is terms that have an "x" in them, in our case, the 4x and the 3x).

So, rearranging, we get the following:

\(33=4x+3x+9+3\)

... 4x+3x is 7x,   and   9+3 is 12, so ...

\(33=7x+12\)

To solve for x, observe that x only shows up in the equation once, so all that we need to do is undo things.  It is easiest to undo things in the reverse order of the standard order of operations of arithmetic.

Normally, in arithmetic, we multiply before we add.  When undoing things in algebra, we undo the addition before we try to undo the multiplication.

To undo addition, we subtract 12 from both sides:

\(33=7x+12\\33-12=7x+12-12\\21=7x\)

To undo the 7 multiplied to the x, we need to divide both sides by 7:

\(21=7x\\\frac{21}{7}=\frac{7x}{7}\\3=x\)

Knowing the value of x, we can substitute back into the expressions for HJ, and JK, and find the other two requested values:

\(HJ=4x+9\\HJ=4(3)+9\\\)

Now that we're just doing arithmetic (simplifying numbers with addition, subtraction, multiplication, etc, on one side of the equation) instead of doing algebra (ex. adding something to both sides of the equation), we proceed in the standard order of operations of arithmetic.  Multiplication comes before addition, so:

\(HJ=4(3)+9\\HJ=12+9\\HJ=21\)

Similarly, for JK:

\(JK=3x+3\\JK=3(3)+3\\JK=9+3\\JK=12\)

Note, as a double-check into the original "segment addition" formula we built:

\(HJ=HJ+JK\)

\((33)\)  ?=?  \((21)+(12)\)   (Are both sides really equal?  We don't know yet)

\(33=33\)  (since 21+12 is 33, the right side IS 33.  Yay!  They're equal!)

Answer:

150

Step-by-step explanation:

its 150 without taxes

Answer:

350

Step-by-step explanation:

Assumung that the $500 is before taxes, Jamel would have to pay $350.

$500 = price before discount

30% = discount

This means that Jamel would be paying 70% of the orginal price, because 30% of it is already taken off.

0.7*500=350

Answer: $350

Answer:

Since, the base of any cylinder is circular in geometry (having radius of the circle as the radius of the cylinder) that's why the circumference of the base of the cylinder is equal to the circumference of a circle having the same radius as that of the cylinder.

Step-by-step explanation:

Answer:

the answer is 20

Step-by-step explanation:

because if you add all of it you get 20

The probability that the number of dropouts next year will be exactly 305 is virtually zero, the probability of less than 305 is 68%, greater than 305 is 32%, and within one standard deviation of 305 is 95%.

Probability of dropouts next year being exactly 305: 0

Probability of dropouts next year being less than 305: 0.68

Probability of dropouts next year being greater than 305: 0.32

Probability of dropouts next year being within one standard deviation of 305: 0.95

The probability that the number of dropouts next year will be exactly 305 is virtually zero. This is because the standard deviation of 50 suggests that the number of dropouts is likely to be different from 305.

The probability that the number of dropouts next year will be less than 305 can be calculated using the normal distribution. The probability that the number of dropouts will be less than 305 is approximately 0.68, or 68%.The probability that the number of dropouts next year will be greater than 305 can be calculated using the normal distribution. The probability that the number of dropouts will be greater than 305 is approximately 0.32, or 32%.The probability that the number of dropouts next year will be within one standard deviation of 305 (i.e. between 255 and 355) can be calculated using the normal distribution. The probability that the number of dropouts will be within one standard deviation of 305 is approximately 0.95, or 95%.

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Step-by-step explanation:

ima ask a question is that time4learning.com if so what chapter is that bc im on the same thang and if you want to we can work together on it

On a certain portion of an experiment, a statistical test result yielded a p-value of 0.18. From here we can conclude that test statistic at least as extreme as that observed 21% of the time, so the test is not statistically significant.

a field of mathematics concerned with the gathering, examination, interpretation, and presentation of large amounts of numerical data.: a set of numerical data

Statistics is the study and manipulation of data, including methods for data collection, evaluation, analysis, and interpretation. Descriptive statistics and inferential statistics are the two main subfields of statistics.

In the exercise, we obtain a value of p of 0.21; we assume that for it to have statistical significance, the value must be less than 0.05, which is constant; if this result is higher, it indicates that there is no statistically significant evidence. The test of the statistical p helps us determine the probability that a statistical value occurs in the null hypothesis.

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Answer:

19, 39

Step-by-step explanation:

10 colums w/ 2 rows = 20 with 1 non blue = 19 blue blocks

20 columns w/ 2 rows = 40 with 1 non blue = 39 blue blocks

Answer:

x = 9.4m

Hope this helps...Have a good day!!

For the given vectors u and v:

u = (-1, 6)

v = (6, 9)

u · v = 48

d(u, v) = √58

Given:

u = (-1, 6)

v = (6, 9)

1. Magnitude of u:

The magnitude (length) of vector u is calculated as follows:

|u| = √(u₁² + u₂²)

|u| = √((-1)² + 6²)

|u| = √(1 + 36)

|u| = √37

So, the magnitude of u is √37.

2. Magnitude of v:

The magnitude of vector v can be calculated similarly:

|v| = √(v₁² + v₂²)

|v| = √(6² + 9²)

|v| = √(36 + 81)

|v| = √117

So, the magnitude of v is √117.

3. Dot product of u and v:

The dot product of two vectors is given by the formula:

u · v = u₁ * v₁ + u₂ * v₂

u · v = (-1 * 6) + (6 * 9)

u · v = -6 + 54

u · v = 48

Therefore, the dot product of u and v is 48.

4. Distance between u and v:

The distance between two points u and v can be calculated using the formula:

d(u, v) = √((v₁ - u₁)² + (v₂ - u₂)²)

d(u, v) = √((6 - (-1))² + (9 - 6)²)

d(u, v) = √(7² + 3²)

d(u, v) = √(49 + 9)

d(u, v) = √58

So, the distance between u and v is √58.

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The point estimate, p, based on the given confidence interval (.688, .724), is .706.

To find the point estimate, p, we take the midpoint of the confidence interval.

In this case, the lower limit is .688 and the upper limit is .724.

To find the midpoint, we calculate the average of these two values.

Midpoint = (lower limit + upper limit) / 2

              = (.688 + .724) / 2

              = 1.412 / 2

              = .706

Therefore, the point estimate, p, is .706.

The point estimate represents our best estimate for the true population proportion based on the available sample data.

In this case, it suggests that the proportion, p, is most likely around .706.

However, it's important to note that the point estimate is subject to sampling variability and may not perfectly reflect the true population proportion.

706 is the correct answer as it represents the point estimate obtained from the confidence interval limits provided.

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The volume of the solid that lies between both cylinder and sphere is \(\frac{4*pi*{(64-7\sqrt{7}) }}{3}\).

Simple three-dimensional extensions of the two-dimensional polar coordinates are known as cylindrical coordinates. Remember that polar coordinates (r,) can be used to define a point's location in a plane. The distance of the point from the origin is represented by the polar coordinate r.

This method can be used to develop a brand-new three-dimensional coordinate system called the cylindrical coordinate system starting from polar coordinates. Thus, cylindrical coordinates offer a straightforward three-dimensional extension of polar coordinates.

Given cylinder: \(x^{2} +y^{2}=9\)

Sphere: \(x^{2} +y^{2}+z^{2} = 25\)

The volume will be:

V=\(\int\limits^{2x}_0\int\limits^3_0 \int\limits^{16-r^{2}} _0 \, rdz dr d0\)

Integrating inside to outside we get:

\(\int\limits^{\sqrt{16-r^{2} }} _0 {r} \, dz\\ =[rz]\)with lower limit 0 and upper limit (16-r^2)^1/2

\(=r\sqrt{16-r^{2} } \\\int\limits^3_0 {r\sqrt{16-r^{2} }} \, dr\\=\frac{64-7\sqrt{7} }{3} \\\int\limits^{2x}_0 {\frac{64-7\sqrt{7} }{3}} \, d0\\=\frac{2*pi*{(64-7-+\sqrt{7}) }}{3}\\V=2*\frac{2*pi*({64-7\sqrt{7}) }}{3}\\V=\frac{4*pi*{(64-7\sqrt{7}) }}{3}\)

is the required volume.

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the value inside the square root must be positive or zero, then:

x - 7 ≥ 0

x - 7 +7 ≥ 0 + 7 adding 7 at both sides

x ≥ 7

The only option greater than or equal to 7 is 8

Answer:

f(x)=f(x-2)

Step-by-step explanation:

Answer:

x = 50°

Step-by-step explanation:

The three angles of any triangle always add up to 180°. Here, we have a 40° and a right angle. Right angles are always 90°.

To find the value of x, find the sum of the two other angles.

90 + 40 = 130°

Since we know that all angles add to 180, we can conclude the following:

x + 130 = 180

x = 50°

Hope this helps

Answer:

The values of x that make the triangles congruent.

x = 6 and x = 3

Step-by-step explanation:

Given

Given that the triangles are congruent.

According to the SAS (Side-Side-Side)

AC = DC

AB = DB

so

AC = DC

substituting AC = 5x-2 and DC = 3x+10

5x-2 = 3x+10

5x-3x = 10+2

2x = 12

divide both sides by 2

2x/2 = 12/2

x = 6

and

AB = DB

substituting AB = 5x and DB = 4x+3

5x = 4x+3

5x-4x = 3

x = 3

Therefore, the values of x that make the triangles congruent.

x = 6 and x = 3

Answer:

hope this will help you thank you

it can be also written as 1/5x-5

Answer:

Thanks and have a good day.

1.  [1  2  3]   [x1]   [2]

 [0  1 -1]   [x2] = [8]

 [1  2  1]   [x3]   [4]

2. x3 equals to -11/3.

To solve for x3 using Cramer's rule, we need to find the determinant of the coefficient matrix and then form three additional matrices by replacing the third column of the coefficient matrix with the constants vector. The determinant of the coefficient matrix is:

| 1  2  3 |

| 0  1 -1 |

| 1  2  1 | = 1(1-4)-2(3-1)+3(2-2) = -3

Next, we form three matrices by replacing the third column of the coefficient matrix with the constants vector:

 [1  2  2]   [2]

 [0  1  8] = [8]

 [1  2  4]   [4]

 [1  2  3]   [2]

 [0  1 -1] = [8]

 [1  2  1]   [4]

 [1  2  3]   [2]

 [0  1 -1]   [8]

 [1  2  4]   [4]

The determinants of these matrices are:

| 1  2  2 |    | 1  2  3 |    | 1  2  3 |

| 0  1  8 | = -4| 0  1 -1 | = -3| 0  1 -1 | = 11

| 1  2  4 |    | 1  2  1 |    | 1  2  4 |

Therefore, x3 can be calculated as:

x3 = Det(B)/Det(A) = 11/-3 = -11/3

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