thirty percent of one hundred

The midpoint of points Q(9.3) and R(1,1) will be M(5,2).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the two endpoints of QR are Q(9.3) and R(1,1). The midpoint will be calculated as,

Midpoint = [x₁ + x₂]/2 , [y₁ + y₂] / 2

Midpoint = [(9 + 1 ) /2 , ( 3 + 1 ) / 2

Midpoint = 5, 2

M is the midpoint of points Q(9.3) and R(1,1) (5,2).

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An icosahedron have 36 interior diagonals.

Given that:

Icosahedron :

Faces = 20 =F

Vertices = 12 = V

Edges = ? = E

For convex 3-dimensional polyhedral Euler's formula:  or

    E = V + F -2

⇒ E = 12 + 20 - 2

⇒ 30

Interior diagonals :

[tex]\left[\begin{array}{ccc} Vertices\\2\end{array}\right] - Edge[/tex]

= [tex]\left[\begin{array}{ccc} 12\\2\end{array}\right][/tex] - 30

= 12/2 × 11/1 - 30

= 66 - 30

= 36

An icosahedron has 36 interior diagonals.

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Answer:

To find the product of 1/4 and 1/6, we need to first find a common denominator. In this case, we can use the least common multiple of 4 and 6, which is 12. We can then rewrite 1/4 and 1/6 as 6/12 and 2/12, respectively. The product of these two fractions is then 6/12 * 2/12 = (6 * 2)/(12 * 12) = 1/12. Therefore, 1/4 x 1/6 = 1/12.

Alternatively, we can simply cancel out common factors in the numerator and denominator of the two fractions before multiplying them. In this case, we can cancel out the common factor of 1 in the numerator and the common factor of 4 in the denominator to get 1/4 * 1/6 = 1/(4 * 6) = 1/24.

Both methods give us the same answer, so we can use either one to solve this problem.

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

We want to multiply fractions

1           1

---   *   ----

4            6

Multiply the numerators

1 * 1 = 1

Multiply the denominators

4 * 6 = 24

The result is

1           1             1

---   *   ----   =    -----

4            6          24

We can conclude that the given situation of Andy is perfectly represented by a graph (A).

The set of ordered pairs is the graph of a function f in mathematics, where These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

To develop a graph is to make a diagram that depicts the relationship between two or more objects.

Make a sequence of bars on graph paper as an example of a graph.

So, we know that:

Andy pedals rapidly.

Then maintain the speed for some time.

Then again, he rapidly pedals the bike he has.

Then suddenly, he put breaks.

All these details are shown in graph (A).

(Refer to the attached (A) graph below)

Therefore, we can conclude that the given situation of Andy is perfectly represented by a graph (A).

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The option that has the best insight of how to find the experimental probability of rolling a 3 is option A

A. To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.

An experimental probability is a probability based on real  or actual experiment, such that the result depends on the accuracy of the record of the occurrences during the experiment.

The result from the experiment is presented as follows;

Number  [tex]{}[/tex]                                Frequency

1  [tex]{}[/tex]                                           4

2  [tex]{}[/tex]                                          6

3  [tex]{}[/tex]                                          5

4  [tex]{}[/tex]                                          7

5  [tex]{}[/tex]                                         3

6  [tex]{}[/tex]                                         5

The probability of an event is the ratio of the number of possible outcome to the number of required outcome.

Therefore: The probability of rolling a three is the ratio of the frequency of an outcome of threes to the sum of the frequency of all the events.

The correct option from which the best details of finding an experimental  probability can be obtained is the option that states that the experimental probability of rolling a three is the ratio of the count of the number of times three occurs to the total number of trials, which is the frequency of rolling a three to the sum of all the frequencies in the experiment.

Mathematically, we get;

The probability of an event E, P(E) = [tex]\frac{Number\, of \, outcomes \, three}{Total \, number \, of \, outcomes}[/tex]

Therefore

[tex]P(3) = \dfrac{Number\, of \, times \, three\, occurs }{Total\, number \, of \, trials} = \dfrac{Freqiuency\ of \ 3s }{Sum\ of \ ther \ frequencies}[/tex]

[tex]P(3) = \dfrac{5}{4+6+5+7+3+5} =\dfrac{1}{6}[/tex]

The correct option is option A

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Therefore, the solution to the given problem is a) ME= 1.93 and b) confidence interval= (19.59,23.45)

Using test statistics to judge statistical hypotheses is a widespread technique. A test statistic, which is a count of a data set that can be used to run the test and simplifies the data to a single number, is a common approach to express a hypothesis test.

Here,

a) Sample of customers is 64, population standard deviation is 6 and confidence level is 99%

Sample mean= 21.52

Sample size= 64

Confidence level= 99%

Population standard deviation= 6

Standard error of the mean= 0.75

Z-value= -2.5758 (From Z table)

Interval half width= 1.9319

Margin of error at 99% confidence interval is 1.93 from the output.

b) Confidence interval

Interval upper limit= 19.59

Interval lower limit= 23.45

99% confidence interval is (19.59, 23.45) from the output.

ME= (23.45- 19.59)/2 = 1.93

Therefore a) ME= 1.93 b) confidence interval= (19.59,23.45)

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Answer:its 14

Step-by-step explanation:

Answer: 1 1/2 / 1.5

Step-by-step explanation: So, if you divide 3 by 4, you should get 0.75, then you would multiply that to get 1.5 or 1 1/2 (as a fraction) I think this is the question you asked, but if so, I hoped this helped!

Answer:

24 girls

Step-by-step explanation:

245÷5= 49

49÷2=24.5 so you can estimate that it is 24

Answer:

Step-by-step explanation: first we need to add 4 to 48 with will give us 52, then if we divide 52 by 4 we will get the answer for the price per pizza, 52 divided by 4 is 13 with means that Mr. Lee paid 13 dollars per pizza.

Answer: the answer is 1

Step-by-step explanation: if you divide 12 by 12

Answer:the answer is 16 feet

Step-by-step explanation:

Statistics can promote limitations in perception in all the following ways, except by Option C. Considering alternative perspectives when defining variable relationships.

Option C encourages a holistic approach to analyzing statistics, rather than promoting limitations in perception. It encourages the analyst to consider different perspectives when interpreting the data, thus allowing a more comprehensive understanding.

This open-minded approach is essential in order to form valid conclusions. When taking into account multiple perspectives, the analyst is able to come to a more informed conclusion, rather than relying on a single-perspective interpretation. Option C does not promote limitations in perception, as it encourages a more open-minded approach to interpreting the data.

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A manufacturing plant has two assembly lines for producing glass bottles. The manager

was concerned about whether the proportion of defective bottles differs between the two

assembly lines. She gathered two independent samples and found the following data:

n 1 =100, ^p 1 =.1,n 2 =100, ^p 2 =.13.

(a) Set up the appropriate null and alternative hypotheses.

(b) Compute the value of the test statistic.

(c) Draw a conclusion as to whether there is a difference between the two assembly lines

Answer:

S=7

t=1

Step-by-step explanation:

Since we need to make these triangles congruent, s+36=43, and t+39=40. Solve for s by subtracting 36 from both sides of the equation (s+36-36=43-36 s=7), then solve for t by subtracting 39 from both sides (t+39-39=40-39  t=1)

-Hope this helped & Happy Holidays!

As the time increases, the angular velocity i.e. omega also increases quadratically with time.

Given,

From the figure,

Radius of wheel = 0.2 m

Acceleration, a = 4t m/s^2

then the angular acceleration of wheel can be determined by formula,

[tex]a=\alpha * r[/tex]

Where, r=radius of wheel =0.2 m

[tex]4t=\alpha * 0.2\\20t=\alpha[/tex]

We know that the angular acceleration is the change in angular velocity over time.

[tex]\alpha=\frac{d\omega}{dt}\\\\20t=\frac{d\omega}{dt}\\\\d\omega=20tdt\\\\\omega=\int\limits^t_0 {20t} \, dt \\\\\omega=\frac{20t^2}{2}-0\\\\\omega=10t^2[/tex]

From the above equation it is clear that omega i.e. angular velocity is dependent of time

omega is directly proportional to square of time

For

t=1 then ω=10

t=2 then ω=10(4)=40

t=3 then ω=10(9)=90.....and so on.

It means as time increases, then angular velocity also increases quadratically with time.

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Your question is incomplete, here is the complete question.

When a body rotates about fixed axis , any point located in the body travels along the circular path. the angular acceleration α measures the rate of change of angular velocity. A cord is wrapped around a wheel, which is initially at rest when θ=0. The force F gives the cord an acceleration [tex]a= 4t\ m/s^2.[/tex]

How does omega change over time?

Answer:

21

Step-by-step explanation:

For this problem, we basically want to find 2016/96.

2016=1920+96. So, 2016/96 = (1920+96)/96=20+1=21.

So, the hot air balloon travels 21 miles each hour.

''21'' because 2016 divided by 96 is 21

the answer is 4

Step-by-step explanation:

The equation of a line passing through (x1, y1) is y - y1 = m(x - x1).

The equation of a line:

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The most popular form in algebra is the "slope-intercept" form. y = mx + b. This in effect uses x as a parameter and writes y as a function of x: y = f(x) = mx+b.

Here we have to find the equation of a line passing through (x1, y1) and the slope.

Data given:

Point on the line = (x1, y1)

Slope = m

By this we get the equation of a line as:

y - y1 = m(x - x1)

Therefore the equation of a line is y - y1 = m(x-x1).

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The equation of the line passing through (3,4) and having slope m = 3/2 is y = 3/2x + 4.

Given points : (3,4)

The equation of a line with slope 3/2 and passing through point (3,4) is y = 3/2x + 4. This equation can be used to calculate the y-coordinate of any point on the line, given its x-coordinate. For example, if the x-coordinate of a point is 6, then its corresponding y-coordinate is 11. In general, for any x-coordinate, the corresponding y-coordinate is given by 3/2 times the x-coordinate plus 4.

Given slope : m = 3/2

We know that the equation of a line with slope m and passing through point (x1, y1)is given by :

y - y1 = m(x - x1)

Substituting the given values, we get

y - 4 = 3/2(x - 3)

Simplifying equation, we get

y = 3/2x + 4

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Answer:Binary Variable

Step-by-step explanation:Binary variable: a variable that can only take on two values, usually 0/1.

(12x+5y)/3z

substitute in values

(12(12) + 5(6)) / 3(3)

simplify

(144 + 30) / 9

add

174 / 9

factor out a 3

58 / 3

Hope this helps :)

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- Jeron

The probability that a randomly chosen plate contains the number 2222 is 0.000028 approximately.

The probability that a randomly chosen plate contains the sub-string HI is 0.002548  approximately.

Given that:

The license plate was in the form of 3 letters followed by 3 digits or 2 letters followed by 4 digits.

Part (A)

Let A be the way the symbol is three letters followed by three numbers, and B be the way two letters followed by four numbers.

Repetition is allowed here. There are 26 alphabetic characters and 10 unique digits.

If 3 letters followed by 3 numbers, the selection method is:

   26 × 26 × 26 × 10 × 10 × 10

⇒ (26)² ×(10)⁴ = 6760000

The number of possibilities is 17576000 + 6760000 = 24336000

contains the digits 2222.

That is, the first two letters can be any alphabet, but the remaining digits he must be 2222. Disk contains number 2222:

   (26) ² = 676

Probability that randomly selected disk contains number 2222:

676/24336000 ≈ 0.000028

Part (B):

Selected disk contains substring HI Number of possibilities:

3 letters followed by 3 digits, the disc has Un

26 × 1 ×10³ × 1 × 26 ×10³

2 letters followed by 4 digits, the number of possible ways is as follows.

1 × 10⁴

So the total number of ways a randomly chosen plate contains the substring HI is:

620000/24336000 ≈ 0.002548

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The length of the longer and shorter pieces of hose is equal to 19ft and 8ft respectively.

As given in the question,

length of the hose = 27ft

Let 'x' be the length of the longer piece

and 'y' be the length of shorter piece

As per given condition:

System of equations are:

x = 2y + 3  __(1)

x + y = 27 __(2)

Substitute the value x from (1) in (2) we get,

2y + 3 + y = 27

⇒3y + 3 = 27

⇒ 3y = 27 - 3

⇒3y = 24

⇒y = 24/3

⇒y = 8ft.

Now,

x = 2(8) + 3

⇒ x = 19ft

Therefore, the length of the longer and shorter piece cut from a 27ft long hose is equal to 19ft and 8ft respectively.

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The rate of flow outward through the hemisphere x² + y² + z² = 9, z >= 0 is zero.

Given that,

Seawater has a density of 1025 kg/m³ and moves at a constant velocity field defined by the equations v = yi + xj, where x, y, and z are measured in meters and the components of V are expressed in meters per second.

We have to find the rate of flow outward through the hemisphere x² + y² + z² = 9, z >= 0.

We know that,

v= yi + xj, and density = 1025 kg/m³

F=1025(yi + xj)

After solving the R(u,v) we get zero.

Therefore, the rate of flow outward through the hemisphere x² + y² + z² = 9, z >= 0 is zero.

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The simple interest rate would be 20%. The result is obtained by using the simple interest formula.

The interest of an amount of money can be counted by the following formula.

I = P₁ - P

I = P × r × t

Where

Jesse now has $65,000 and he deposit it in an account. After 18 years, he wishes the balance will grow into $300,000. Determine the simple interest rate!

First, let's find the interest.

I = P₁ - P

I = $300,000 - $65,000

I = $235,000

The simple interest rate is

I = P × r × t

235,000 = 65,000 × r × 18

r = 235,000 / 1,170,000

r = 0.201

r ≈ 20%

Hence, the simple interest rate he would need to deposit his money is 20%.

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26.3 feet is the radius of the curve if the middle ordinate measures 4.8 feet when using a chord with a length of 42ft.

The radius of the curve is 26.3 feet.

1. Use the equation: 2r = chord length/sin of the angle between the chords.

2. Plug in the chord length Just use the chord length formula as follows: Chord length is equal to 2(r2-d2), where r is the circle's radius and d is the chord's perpendicular distance from its center.(42ft) and the middle ordinate (4.8ft) and solve for r.

3. 2r = 42/sin (4.8/2) = 42/ sin 2.4 = 26.3

4. Round answer to the nearest tenth of a foot (one place after the decimal): 26.3 feet.

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Answer:

-18

Step-by-step explanation:

[tex]\frac{2}{3}n=-12 \\ \\ \frac{3}{2} \cdot \frac{2}{3}n=\frac{3}{2}(-12) \\ \\ n=-18[/tex]

Therefore , the test statistic comes out to be t = 8.645.

A test statistic is a statistic used in statistical hypothesis testing .A hypothesis test is typically expressed as a test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to perform the hypothesis test.

Here,

Parameter = u1 - u2

where

[tex]{X^{'}_{1}[/tex] = 3.27

[tex]{X^{'}_{2}[/tex] = 2.95

S1=0.23 and S2=0.29

So using formula

=> t = [tex]\frac{X^{'}_{1} - X^{'}_{2} }{Sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }[/tex]

=> t = [tex]\frac{3.27 - 2.95 }{0.23\sqrt{\frac{1}{100} +\frac{1}{100} } }[/tex]

=> t = 9.838

and

=> t = [tex]\frac{3.27 - 2.95 }{0.29\sqrt{\frac{1}{100} +\frac{1}{100} } }[/tex]

=> t = 7.802

thus,

=> t = (9.838 + 7.802) / 5 =8.645

thus t = 8.645

Therefore , the test statistic comes out to be t = 8.645.

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