How many milliliters is 0.005 L?A) 0.5 mL B) 5 mL C) 0.50 mL D) 0.000005 mL E) 200 mLAns: B Category: Medium Section: 1.9

The expected length of a staff meeting is approximately 12.5 minutes.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To calculate the expected length of a staff meeting, we need to find the mean of the probability density function given.

The formula for finding the expected value or mean of a continuous random variable with probability density function f(x) is:

E(X) = ∫ x f(x) dx over the range of the variable

Using this formula, we can find the expected length of a staff meeting as follows:

E(X) = ∫ x f(x) dx over the range of the variable

  = ∫ 0 to 1 x [tex]5(x-0.5)^{5}[/tex] dx  (since the length of a meeting can't be negative)

  = 5 ∫ 0 to 1 x[tex](x-0.5)^{5}[/tex] dx

Now we can use integration by parts or substitution to solve the integral. For simplicity, we can use substitution, with u = x - 0.5 and du = dx:

E(X) = 5 ∫ -0.5 to 0.5[tex]5(x-0.5)(u)^{5}[/tex] du

= 5 ∫ -0.5 to 0.5 [tex](u^6 + 0.5u^5)[/tex] du

= 5 [(1/7)[tex]u^7\\[/tex] + (1/10)[tex]u^6[/tex]] evaluated at -0.5 and 0.5

= 5 [(1/7)[tex](0.5)^7[/tex] + (1/10)[tex](0.5)^6[/tex] - (1/7)[tex](-0.5)^7[/tex] - (1/10)[tex](-0.5)^7[/tex]]

≈ 0.2083 hours or 12.5 minutes

Therefore, the expected length of a staff meeting is approximately 12.5 minutes.

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Answer:

i think D if not then B

Step-by-step explanation:

Answer:

it's 17.04 as u showed in the answer

Step-by-step explanation:

1st u change the mixed no. to improper fraction

2nd u will multiply it by it's resprocal then u will get 17.04

Therefore, expression 3x5/6 simplifies to 3 5/6.

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables. Expressions can be evaluated, simplified, and manipulated using mathematical rules and operations to obtain new expressions or values.

Here,

To simplify 3x5/6, we can rewrite it as (3/1) × (5/6). Multiplying the numerators and denominators, we get:

(3/1) × (5/6) = 15/6

= 2 3/6

Since 3/6 can be simplified to 1/2, we have:

2 3/6 = 2 1/2

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Answer:  $1.80

Step-by-step explanation: 15% of 12 is 1.8

Let's call the length of the rectangle "l" and the width "w". We know that the diagonal of the rectangle is 60 inches, and that it creates angles of 30 degrees and 60 degrees in the corners of the rectangle.

Using trigonometry, we can relate the sides of the rectangle to its diagonal and the angles formed by the diagonal. Specifically, we can use the sine and cosine functions to relate the sides to the angles:

sin(30) = w/60 and cos(30) = l/60

sin(60) = l/60 and cos(60) = w/60

Simplifying each equation, we get:

w = 30√3 and l = 30

Therefore, the area of the rectangle is:

Area = l x w = (30)(30√3) = 900√3 square inches.

Hence, the area of the rectangle in simplified radical form is 900√3 square inches.

Answer: 3/8 >2/6

Step-by-step explanation:

The area of the rectangle is 231 square meters.

To find the area of a rectangle, we need to multiply its length by its width.

Given that the length of the rectangle is 21 meters and the width is 11 meters, we can find the area as:

Area = Length x Width

Area = 21 meters x 11 meters

Area = 231 square meters

Therefore, the area of the rectangle is 231 square meters.

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Answer:

12

Step-by-step explanation:

4 x 4= 16 so 4 x 3=12 and 3/4 = 4 x 3

a).The bearing of point A from B is 234°.

b). The bearing of point B from point A is 054°.

Bearing is usually measured in degrees, with 0° indicating the reference direction (usually North), and increasing clockwise to 360°. It refers to the direction or angle between a reference direction and a point or object.

The bearing of point A from B is the angle measured from the north of B to the straight line distance between A and B which is 234°. While the bearing of point B from point A is the angle measure starting from the north of A to the straight line distance between A and B which is 054°.

Therefore, the bearing of point A from B is 234° while the bearing of point B from point A is 054°.

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If PQRS are points on a circle with the centre O, PS is a diameter of the circle Angle PQR=136, the measure of angle RPS is 88 degrees.

Since QR is parallel to PS, we can use alternate interior angles to determine that angle QPS is equal to angle PQR. This means that angle QPS is also 136 degrees.

Angle PQR and angle QPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

We can use this fact to find the measure of angle RPS. First, we know that the sum of angles in a quadrilateral is 360 degrees. Therefore, we can find the measure of angle PSR as follows:

Angle PSR = 360 degrees - Angle PQR - Angle QPS

Angle PSR = 360 degrees - 136 degrees - 136 degrees

Angle PSR = 88 degrees

Next, we use the fact that angles at the circumference of a circle subtended by the same arc are equal. Angle PSR and angle RPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

Angle RPS = Angle PSR = 88 degrees

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Complete question is:

PQRS are points on a circle with the centre O PS is a diameter of the circle Angle PQR=136 Work out the size of angle RPS

Answer:

The answer for x is 27

Step-by-step explanation:

2x/3-1x/9+5=20

2x/3-x/9=20-5

6x-x/9=15

5x/9=15

multiply both sides by 9

5x/9×9=15×9

5x=15×9

divide both sides by 5

5x/5=15×9/5

x=3×9

x=27

Answer:

Step-by-step explanation:

The measure of a central angle of a regular polygon with 24 sides is 15 degrees.

A polygon is a two-dimensional geometric shape that is defined by a closed chain of line segments, also known as sides. These line segments must be joined end to end to form a closed shape, with no curves or self-intersections. The word "polygon" comes from the Greek words "poly" meaning "many" and "gon" meaning "angle".

To find the measure of a central angle of a regular polygon with 24 sides, we can use the formula:

central angle = 360 degrees / number of sides

Substituting the given value, we get:

central angle = 360 degrees / 24 = 15 degrees

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The reference angle of x can be found to be 13π/3.

The exact values of sin x, tan x, and sec x in simplest form:

Since our angle x = (10π) / -3 is in the third quadrant, we subtract π to get the reference angle:

reference angle = |x - π| = |(10π) / -3 - π| = |-13π/3|

The reference angle is 13π/3.

sin x = sin(reference angle) = sin(13π/3)

sin(π/3) = √3/2

So, sin x = √3/2

tan x = tan(reference angle) = tan(13π/3)

tan(π/3) = √3

So, tan x = √3

sec x = 1 / cos x = 1 / cos(reference angle) = 1 / cos(13π/3)

cos(π/3) = 1/2

So, sec x = 1 / (-1/2) = -2.

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Answer: We can use the halfangle formula for the tangent to answer this question. Using this formula we get that [tex]$\tan\left(\frac{11\pi}{12}\right) = \sqrt{3} - 2[/tex].

Step by Step Explanation:  The half angle formula for tangent is [tex]$\tan\left(\frac{A}{2}\right) = \frac{\sin(A)}{1+\cos(A)}[/tex]  . So

[tex]$\tan\left(\frac{11\pi}{12}\right)[/tex]

[tex]$= \frac{\sin(\frac{11\pi}{6})}{1+\cos(\frac{11\pi}{6})}[/tex]

[tex]$= \frac{\sin(2\pi - \frac{\pi}{6})}{1+\cos(2\pi - \frac{\pi}{6})}[/tex]

[tex]$ = \frac{-\sin(\frac{\pi}{6})}{1+\cos(\frac{\pi}{6})}[/tex]

[tex]$= \frac{-1/2}{1 + \sqrt{3}/2}[/tex]

[tex]$= -\frac{1}{2+\sqrt{3}}[/tex]

 [tex]$= - \frac{2-\sqrt{3}}{(2+\sqrt{3})(2-\sqrt{3})}[/tex]

[tex]= - \frac{2 -\sqrt{3}}{4-3}}[/tex]

[tex]= \sqrt{3} -2[/tex]

These are some of the common halfangle identities:

[tex]\cos(A/2) = \sqrt{\frac{1+\cos(A)}{2}[/tex]

[tex]\sin(A/2) = \sqrt{\frac{1-\cos(A)}{2}[/tex]

[tex]\tan(A/2) = \frac{\sin(A)}{1+\cos(A)} = \frac{1 - \cos(A)}{\sin(A)}[/tex]

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Answer:

d Because I just took the test and got it right

The simplified expression using rational numbers is 82.25.

First, let's start by defining what a rational number is. A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. For example, 2/3, 5, and -7/2 are all rational numbers.

Now, let's simplify the expression using rational numbers. We can start by simplifying (5.5)² and 9(5.5)².

(5.5)² is equal to 30.25, which is a rational number because it can be expressed as 121/4.

9(5.5)² is equal to 9 times 30.25, which is equal to 272.25. This is also a rational number because it can be expressed as 109/4.

Next, let's simplify √5.75. To do this, we need to express the square root as a rational number. We can do this by rationalizing the denominator.

To rationalize the denominator, we multiply both the numerator and denominator of the expression by the conjugate of the denominator. In this case, the conjugate of √5.75 is √5.75.

So, 5.75√ can be simplified as follows:

5.75√ = 5.75√5.75/√5.75

= 5.75√5.75/5.75

= √5.75

Now, we can rewrite the expression as:

(121/4) + √5.75 + (109/4) + 5.75 + 9

Combining like terms, we get:

(121/4) + (109/4) + 15.75 + 9

Simplifying further, we get:

(230/4) + 15.75 + 9

= 57.5 + 15.75 + 9

= 82.25

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The correct options are:

C. It is a hyperbola.

D. It is in quadrants I and II.

The reciprocal parent function is given by:

f(x) = 1/x

The graph of this function is a hyperbola, which opens up and down, and has vertical asymptotes at x = 0 (the y-axis).

The graph is in quadrants I and II, since x > 0 for positive values of y, and x < 0 for negative values of y.

The graph does not go through the origin (0,0), since f(0) is undefined. It is not a parabola, since a parabola is a U-shaped curve, which is not the shape of the reciprocal parent function.

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Person C would rate the highest on their eligibility for a home loan.

A down payment is a payment made upfront by a buyer when purchasing a big-ticket item, such as a house or a car.

It is typically a percentage of the total purchase price, and the remaining balance is financed through a loan.

We have,

Debt-to-income ratio for each person:

Person A:

Down payment = $14,250, Debt-to-income ratio = ($310 / $3,833) x 100% = 8.08%

Person B:

Down payment = $16,050. Debt-to-income ratio = ($198 / $4,416) x 100% = 4.49%

Person C:

Down payment = $18,000. Debt-to-income ratio = ($265 / $4,833) x 100% = 5.49%

Person D:

Down payment = $19,200. Debt-to-income ratio = ($400 / $5,000) x 100% = 8.00%

Now,

Based on these calculations, Person C has the highest down payment and the lowest debt-to-income ratio, making them the most eligible for a home loan.

Therefore,

Person C would rate the highest on their eligibility for a home loan.

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Answer:

Step-by-step explanation: There are 2.54 centimeters in a inch, for every inch you need to multiply it by 2.54.  

2.54 x 12 = 30.48

Answer = 30.48

A 12inch ruler is 30cm.

If you look at a ordinary see through plastic ruler one side says 12 inches and the other, 30 centimetres by one millimeter.

Answer:

"I think of a number, take away 1 and multiply the result by 3" can be written algebraically as:

3(x - 1)

where x is the unknown number that is being thought of.

We subtract 1 from x because the problem asks to "take away 1", and then we multiply the result by 3 because the problem asks to "multiply the result by 3".

So the expression 3(x - 1) represents the result of thinking of a number, taking away 1, and multiplying the result by 3.

Answer:

Set your calculator to degree mode.

x = tan^-1 (6/8) = 36.87°

The statement "there is a 40% chance of rain today" means that there is a probability of 0.4 (or 40%) that it will rain today.

The statement "there is a 40% chance of rain today" means that there is a probability of 0.4 (or 40%) that it will rain today.

Probability is a measure of the likelihood or chance of an event occurring, and it ranges from 0 (impossible) to 1 (certain).

In this case, a probability of 0.4 means that out of 10 similar days with similar weather conditions, we would expect it to rain on 4 of those days.

However, if the weather conditions change or new information becomes available, the probability of rain may increase or decrease.

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The new volume of the gas is 2.35 liters.

To solve this problem, we can use the formula for Charles's Law:

V1/T1 = V2/T2

We are given that V1 = 2.2 liters, T1 = 18°C, and T2 = 38°C. We need to find V2.

First, we need to convert the temperatures to Kelvin. To convert Celsius to Kelvin, we add 273.15:

T1 = 18°C + 273.15 = 291.15 K

T2 = 38°C + 273.15 = 311.15 K

Now we can plug in the values and solve for V2:

V1/T1 = V2/T2

2.2/291.15 = V2/311.15

V2 = (2.2/291.15) * 311.15

V2 = 2.35 liters (rounded to two decimal places)

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Answer:

highest: $1,438

lowest: $1,062

Step-by-step explanation:

The highest and lowest points are adding $188 and subtracting $188 from her brother's amount.

So, to find the highest point, add $188 to $1,250, which is $1,438.

To find the lowest point, subtract $188 from $1,250, which is $1,062.

Hope this helps ;)

The integer that represents the amount of time in seconds the ball takes to reach the end of the ramp is 9.

To find the amount of time in seconds it takes for the ball to reach the end of the ramp, we need to divide the total distance by the rate of descent.

The total distance the ball needs to travel is 18 feet, and it descends 2 feet each second.

Therefore, the time it takes for the ball to reach the end of the ramp can be calculated as follows:

time = distance / rate

time = 18 feet / 2 feet/second

time = 9 seconds

So, the integer is 9.

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The statement " Each neighborhood in DMR encompasses just the vertices and edges of a bad triangle" is false because a neighborhood in a Delaunay triangulation typically encompasses more than just the vertices and edges of a single bad triangle.

The statement is incorrect. A "bad triangle" refers to a specific type of triangle that can occur in a Delaunay triangulation, which is a type of triangulation used in computational geometry. A bad triangle is a triangle that violates the Delaunay condition, which requires that the circumcircle of the triangle contains no other vertices of the triangulation.

While a Delaunay triangulation can be used to partition a set of points into a set of triangles, each neighborhood in the triangulation typically encompasses more than just the vertices and edges of a single bad triangle. Instead, a neighborhood typically encompasses all of the triangles in the triangulation that share a common vertex or edge with a given triangle.

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False. Each neighborhood in DMR encompasses the vertices and edges of a Delaunay triangle, which is a good triangle.

, each neighborhood in DMR (Delaunay Mesh Refinement) does not necessarily encompass just the vertices and edges of a bad triangle. DMR is an algorithm used to refine meshes, and it can involve both bad and good triangles to ensure a high-quality mesh output. The neighborhoods can contain multiple triangles and their respective vertices and edges, depending on the refinement criteria.

False. Each neighborhood in DMR encompasses the vertices and edges of a Delaunay triangle, which is a good triangle.

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Hence ,the surface area of the trapezoid is  173 [tex]ft^{2}[/tex] .

In geometry,  a quadrilateral with at least one set of parallel sides is referred to as a trapezium in American and Canadian English, or a  trapezium in British and other  forms of English. In Euclidean geometry, a trapezium is a convex quadrilateral by  definition. The bases of the  trapezium are the parallel sides.

The amount  of space that a trapezoidal prism is surface takes up is known as its surface area. A three-dimensional solid called a trapezoidal  prism is composed of two  trapezoids on opposing faces connected by four  rectangles known as the lateral faces. You will learn how to determine the surface area of a trapezoidal prism, as with  all three-dimensional shapes.

We know that ,surface area of trapezoid is,

Surface Area= [tex]\frac{1}{2}[/tex] x (sum of the lengths of the parallel sides) x perpendicular distance between parallel sides

In given figure,

∵ value of parallel sides is 10 ft and 13 ft ,

So, the sum of the lengths of the parallel sides= 10+13=23 ft

∵ perpendicular distance between parallel sides= 15 ft

∴ The Surface Area of trapezoid = [tex]\frac{1}{2}[/tex] x (sum of the lengths of the parallel sides) x perpendicular distance between parallel sides

⇒The Surface Area of trapezoid = [tex]\frac{1}{2}[/tex] x 23 x 15

⇒The Surface Area of trapezoid = [tex]\frac{1}{2}[/tex] x 345

⇒The Surface Area of trapezoid = 172.5 [tex]ft^{2}[/tex] ≅ 173 [tex]ft^{2}[/tex]

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