There is a multiple choice quiz with six questions and five possible answers and only one choice is correct what is the probability you get your first and only incorrect answer on the fourth question?n

The value of x is 14

Fractions are described as expression that shows the part of a whole number, a whole variable. a whole element.

The different types of fractions are listed as;

From the information given, we have that;

1/5 ( x - 10 ) = 4/5

This is written as;

(x -10)/5 = 4/5

cross multiply the values, we have;

5(x-10) = 20

expand the bracket

5x - 50 = 20

Collect like terms

5x = 70

Divide the values

x =14

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The diameter of the second pile of phosphate is 53.5 ft.

We have,

Conveyor belt:

Cone shape:

Diameter = 48.6 ft

Radius = D/2 = 24.3 ft

Height = 15.3 ft

Volume.

= 1/3 x π x r² x h

= 1/3 x 3.14 x 24.3 x 24.3 x 15.3______(1)

Shorter conveyor belt:

Cone shape:

Diameter = D

Height = (15.3 - 2.7) = 12.6 ft

Volume.

= 1/3 x π x (D/2)² x h

= 1/3 x 3.14 x (D/2)² x 12.6_______(2)

Since (1) and (2) are equal.

24.3 x 24.3 x 15.3 = (D/2)² x 12.6

(D/2)² = 717.02

D²/4 = 717.02

D² = 717.02 x 4

D² = 2868.09

D = 53.55

D = 53.5 ft

Thus,

The diameter of the second pile of phosphate is 53.5 ft.

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Answer:

a) The truth table for F is as follows:

A B C D F

0 0 0 0 1

0 0 0 1 0

0 0 1 0 0

0 0 1 1 1

0 1 0 0 0

0 1 0 1 1

0 1 1 0 1

0 1 1 1 0

1 0 0 0 0

1 0 0 1 1

1 0 1 0 1

1 0 1 1 0

1 1 0 0 1

1 1 0 1 0

1 1 1 0 0

1 1 1 1 1

b) Using the Quine-McCluskey method, we can find the minimal sum-of-products form of F:

F = ¬A ∧ ¬B ∧ D ∨ ¬A ∧ C ∧ D ∨ A ∧ B ∧ ¬C ∧ D ∨ A ∧ ¬B ∧ C ∧ D

c) Using Boolean algebra, we can simplify the Boolean expression of F as follows:

F = (¬A ∧ ¬B ∧ D) ∨ (¬A ∧ C ∧ D) ∨ (A ∧ B ∧ ¬C ∧ D) ∨ (A ∧ ¬B ∧ C ∧ D)

= (¬A ∧ (¬B ∧ D ∨ C ∧ D)) ∨ (A ∧ (B ∧ ¬C ∧ D ∨ ¬B ∧ C ∧ D))

= (¬A ∧ (¬B ∨ C) ∧ D) ∨ (A ∧ ((B ∧ ¬C) ∨ (¬B ∧ C)) ∧ D)

= (¬A ∧ ¬B ∧ C ∧ D) ∨ (¬A ∧ B ∧ ¬C ∧ D) ∨ (A ∧ B ∧ C ∧ D) ∨ (A ∧ ¬B ∧ ¬C ∧ D)

Therefore, the simplified Boolean expression of F in terms of the three variables A, B, and C is:

F = (¬A ∧ ¬B ∧ C ∧ D) ∨ (¬A ∧ B ∧ ¬C ∧ D) ∨ (A ∧ B ∧ C ∧ D) ∨ (A ∧ ¬B ∧ ¬C ∧ D)

Step-by-step explanation:

If he gives ninety-three centimeters of the rope to his brother, Ravi has 132 centimeters of rope left.

Two and one-fourth meters of rope can be written as 2.25 meters. Since 1 meter is equal to 100 centimeters, we can convert 2.25 meters to centimeters by multiplying it by 100, giving us 225 centimeters.

If Ravi gives 93 centimeters of the rope to his brother, we can subtract it from the original length to find how much rope he has left.

225 cm - 93 cm = 132 cm

In general, to convert between meters and centimeters, you can multiply the number of meters by 100 to get the length in centimeters. To convert between centimeters and meters, you can divide the number of centimeters by 100 to get the length in meters.

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Answer:

(1) 2x - 2y = 2(x - y)

(2) 5x^3 + 15xy = 5x(x^2 - 3y)

Find your answer on above picture ihope it will help you thank you.

Answer:

1.3136363636363637

Step-by-step explanation:

Bc u times 17 times 17 devide by 220

Answer:

the answer is 54,000

Step-by-step explanation:

(540 × 45) + (540 × 55)

=24300 + 27700

=54000

Answer:

Step-by-step explanation:

To graph the function, we'll break it down into three parts based on the given conditions.

For x ≤ -2:

The function f(x) = x + 6 is valid in this range. We'll plot a straight line with a slope of 1 and a y-intercept of 6. Since x ≤ -2, we'll extend the line towards the left indefinitely.

For -2 ≤ x ≤ 1:

The function f(x) = x² is valid in this range. We'll plot a curve representing a quadratic function. The graph starts at the point (-2, 4), curves upward, and ends at the point (1, 1).

For x > 1:

The function f(x) = -2x is valid in this range. We'll plot a straight line with a negative slope of -2. Since x > 1, we'll extend the line towards the right indefinitely.

Combining these three parts, we get the graph of the function as follows:

23(2+2+3+372+27272+"

Answer: x=27

Step-by-step explanation:

Assumption the 3's are the bases

[tex]log_{3} 3x +log_{3} 3=5[/tex]              >combine using multiplication log rule (logs with      

                                             same base, that are being added can be  

                                              combined with multiplication)

[tex]log_{3}( 3x)(3) =5\\[/tex]                  >simplify

[tex]log_{3}( 9x) =5\\[/tex]                      >rewrite into exponent form

[tex]3^{5} = 9x[/tex]                             >simplify

243 = 9x

x=27

Answer:

x = 27

Step-by-step explanation:

using the rules of logarithms

• [tex]log_{b}[/tex] b = 1

• [tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

then

[tex]log_{3}[/tex] (3x) + [tex]log_{3}[/tex] 3 = 5

[tex]log_{3}[/tex] (3x) + 1 = 5 ( subtract 1 from both sides )

[tex]log_{3}[/tex] (3x) = 4

3x = [tex]3^{4}[/tex] = 81 ( divide both sides by 3 )

x = 27

Answer: 3x² - 27y² = (3x²) - (27)(y²) = 3(x² - 9y²) = 3(x - 3y)(x + 3y), and 2014² - 2013² = (2014 + 2013)(2014 - 2013) = (3127)(1) = 3127

Im not 100% sure of this answer cause I'm not that good at stuff like this but I still think this is right fr fr

Answer:

ans d

Step-by-step explanation:

5 percent of 30 is 1.5 so d

No, 34.05 is not greater than 34.59.

When comparing two numbers, we look at their digits from left to right.

In this case, both numbers start with 34, which means they have the same value in the tens place.

However, when we move to the decimal part, 0.05 is smaller than 0.59.

Therefore, 34.05 is smaller than 34.59.

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1. The value of angle NSR is 110°

2. The value of r 12

If two secants or chords intersect inside a circle, then the measure of the angle formed is equal to half the sum of the measures of the intercepted arcs.

Therefore;

S = 1/2( 170+40)

S = 1/2 ( 210)

S = 110

Therefore the value of angle NSR is 110°

2. There is a theorem that states that the angle between a radius and tangent is 90°

Using Pythagorean theorem

(25+r)² = r² +35²

= 625 + 50r + r² = r² +35²

625 +50r = r² - r² +35²

50r = 1125-625

50r = 600

r = 600/50

r = 12

therefore the value of r is 12

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To find the length of arc LM, we need to use the formula for the circumference of a circle:

C = 2πr

In this case, the arc LM is a portion of the circumference of the circle. To find the length of the arc, we need to determine the angle at the center of the circle that corresponds to the arc.

Looking at the image you provided, we can see that angle LOM is a right angle (90 degrees). The angle at the center of the circle, LOCM, is half of the right angle, which is 45 degrees.

To calculate the length of arc LM, we need to find the fraction of the total circumference represented by the central angle LOCM. The fraction is given by:

Fraction of circumference = Angle at center / 360 degrees

Fraction of circumference = 45 degrees / 360 degrees

Fraction of circumference = 1/8

Now, we can calculate the length of arc LM:

Length of arc LM = Fraction of circumference * Circumference

Length of arc LM = (1/8) * (2πr)

Since the radius (r) is not given in the image, we cannot calculate the exact length of arc LM. However, we can provide the formula for the length of arc LM in terms of the radius:

Length of arc LM = (1/8) * (2πr) = πr/4

So, the length of arc LM is πr/4, where r is the radius of the circle.

If you have the value of the radius, you can substitute it into the formula to find the specific length of arc LM.

The measure,

⇒∠s = 124 degree

In the given figure of kite,

PQRS,

Measure of angle p = 22 degree

And angle R is a right angle

Therefore,

∠R = 90 degree

Now we know that for a kite PQRS

Angle Q and Angle S are equal

Now consider,

Angle s is equal to x degree

Therefore,

∠S = ∠ Q = x degree

We know that,

For a kite the sum of interior angle is equal to 360 degree.

Therefore,

⇒ ∠P + ∠Q + ∠R + ∠S = 360

⇒ 22 + x + 90 + x = 360

⇒ 22 + x + 90 + x = 360

⇒                     2x  = 248

⇒                        x  = 124 degree.

Thus,

Measure of angle s = 124 degree.

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The correct option is A, the relative frequency is 0.03

To find the relative frequency for a given outcome, we need to take the quotient between the number of times that we got that outcome, and the total number of times that the experiment is done.

Here the outcome  is "wants fruit smooties"

And for the total "number of times that the experiment is done" we need to count the number of students

We know:

Total number = 500

Number of 8th grades who want a fruit smoothies = 17

Relative frquency = 17/500 = 0.03

The correct option is the first one.

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The height of the cylindrical container is approximately 5 inches.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given that:

Volume V = 251 cubic inches

Radius r = 4 inches

Height h = ?

Plug the given values into the above formula and solve for height.

V = π × r² × h

251 = 3.14 × 4² × h

251 = 3.14 × 16 × h

251 = 50.24 × h

h = 251/50.24

h = 5 inches.

Therefore, the measure of the height is 5 inches.

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The measure of the arc of the circle is mST = 122°

Given data ,

Let the circle be represented as C

where the two chords of the circle are RT and PS

And the chords RT and PS intersect at the point U

Now , when two chords intersect inside a circle, four angles are formed. At the point of intersection, two sets of congruent vertical angles are formed in the corners of the X that appears.

On simplifying , we get

m∠SUT = ( 1/2 ) ( mPR + mST )

123° = ( 1/2 ) ( 124° + mST )

On solving for mST , we get

( 124° + mST ) = 246°

Subtracting 124° on both sides , we get

mST = 122°

Hence , the measure of arc mST = 122°

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The measure of p in the diagram is,

m∠P = 45°

We have to given that;

PM is perpendicular to MO.

Now, If m ∠P = m∠2

then it's an isosceles triangle.

And, m ∠M = 90°, therefore it's an isosceles right triangle.

We know that,

the sum of measures of angles in a triangle is equal 180°.

Therefore we have the equation:

m∠P + m∠2  + m∠M = 180°

Substitute m∠M = 90° and m∠P = m∠2 = x:

x + x + 90° = 180°    

substract 90° from both sides

2x = 90°      

divide both sides by 2

x = 45°

m∠P = 45°

Thus, The measure of p in the diagram is,

m∠P = 45°

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Answer:

Step-by-step explanation:

easy its A tell me if u got it correct good job (:

The probability is very high and the event is very likely to occur.

option B.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

If the probability of a rolling a number greater than 1 on a six sided cube die  is 5/6, it implies that the chances of obtaining a number greater than 1 is very high.

We will convert 5/6 to percentage to see the actual value of 5/6.

5/6 x 100%

= 83.33 %

So the value of this probability is very high and the event is very likely to occur.

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The fraction represented by the point between 1 and 2 on the number line is 5/3.

If the point is between 1 and 2 on the number line, we can determine the fraction it represents by considering the distance between the point and the two adjacent integers.

The point A lies between the numbers 1 and 2, which indicates that the whole number part of the fraction is 1.

Also note that the segment between 1 and 2 is divided into 3 equal parts. A lies on the 2nd part, which implies that the fractional part is 2/3.

                              2

Thus, the point A corresponds to the mixed fraction 1 -

                                                                                     3

 2                             5

1 -  = (1*3)+2 / 3 =  -

 3                             3

So, the fraction represented by the point between 1 and 2 on the number line is 5/3.

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The specific data points or the Frequency distribution of grades for the 40 students.

The specific information from the graph , the exact number of students who received a grade of 9.

If the graph represents the distribution of grades of 40 students on a scale from 7 to 10, we can estimate the number of students who received a grade of 9 by considering the shape of the graph.

the graph is a normal distribution or bell curve, with the majority of students clustered around the mean (which is likely to be around 8.5 or 9), we can expect a significant number of students to have received a grade of 9. In a typical bell curve distribution, the highest density of scores is around the mean.

without additional information about the shape of the graph or the specific values represented on the x-axis, it is difficult to provide an accurate estimation of the number of students who received a grade of 9. The graph may represent a variety of distributions, such as skewed, bimodal, or uniform.

the exact number of students who received a grade of 9,  the specific data points or the frequency distribution of grades for the 40 students.

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Based on the information given regard to the graph, there are 6 students who got 9.

A graph is a diagram such as a series of one or more points, lines, line segments, curves, or areas which represents the variation of a variable in comparison with that of one or more other variables.

The collection of all points whose coordinates satisfy a given relation such as a function.

The graph shows that there are 4 students who got 7, 8 students who got 8, and 12 students who got 10. This leaves:

40 - 4 - 8 - 12

= 6 students who got 9.

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Given is a circle with center Z, we need to find the measure of the angle YZU,

We know that,

In a circle, the length of an arc and the length of the corresponding central angle are inextricably linked and equal.

Also,

The whole circle measures 360°.

So,

arc YU + arc UV + arc VX + arc YX = 360°.

10x+9 + 90° + 34° + 6x-13 = 360°

16x = 240°

x = 15

So, arc YU = 10(15) + 9

arc YU = 159°

Since arc YU = ∠ YZU

Therefore the measure of the angle YZU is 159°

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52)  The midpoint of the line segment is (-0.5, 9).

53) The midpoint of the line segment is (3, -8.5).

52) To find the midpoint of the line segment with endpoints (8,9) and (-9,9), we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (x, y) are the average of the corresponding coordinates of the endpoints.

For the x-coordinate:

(x₁ + x₂) / 2 = (8 + (-9)) / 2 = (-1) / 2 = -0.5

For the y-coordinate:

(y₁ + y₂) / 2 = (9 + 9) / 2 = 18 / 2 = 9

Therefore, the midpoint of the line segment is (-0.5, 9).

53) To find the midpoint of the line segment with endpoints (8,-10) and (-2,-7), we apply the same process using the midpoint formula.

For the x-coordinate:

(x₁ + x₂) / 2 = (8 + (-2)) / 2 = 6 / 2 = 3

For the y-coordinate:

(y₁ + y₂) / 2 = (-10 + (-7)) / 2 = -17 / 2 = -8.5

Hence, the midpoint of the line segment is (3, -8.5).

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With the coordinate provided, the lengths of the triangle are Side AB =  5 units, Side BC = 10 units and Side CA = 12.4 units.

To find the side lengths of the triangle using the coordinates provided, we use the distance formul.

The distance between two points (x1, y1) and (x2, y2) is given by √((x2-x1)² + (y2-y1)²).

Side AB: Distance between A(-7, 3) and B(-3, 6)

= √((-3 - -7)² + (6 - 3)²)

= √((4)² + (3)²)

= √(16 + 9)

= √25

= 5 units

Side BC: Distance between B(-3, 6) and C(5, 0)

= √((5 - -3)² + (0 - 6)²)

= √((8)² + (-6)²)

= √(64 + 36)

= √100

= 10 units

Side CA: Distance between C(5, 0) and A(-7, 3)

= √((-7 - 5)² + (3 - 0)²)

= √((-12)² + 3²)

= √(144 + 9)

= √153

= 12.4 units

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Circle B is dilation of 6 unit left and 4 unit down to the center of circle A.

We have to given that;

Circle A is transformed into Circle B using a sequence of two transformations.

And, The first transformation is a dilation centered at (6,0).

Here, Center of circle A is,

⇒ A = (6, 0)

And, Center for circle B is,

⇒ B = (0, - 4)

Hence, We get;

⇒ B = (6 - 6, 0 - 4)

⇒ B = (0, - 4)

Hence, Circle B is dilation of 6 unit left and 4 unit down to the center of circle A.

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Rhett's house is a rectangular prism

Given data ,

Let the figure be represented as A

Now , the value of A is

Rhett made a simple drawing of his house.

And , It is a three dimensional figure with four faces that are rectangular and two that are square

So , the figure is represented as a rectangular prism

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

Hence , the figure is rectangular prism

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