Vivica is experimenting with a standard die whose six sides are numbered 1 through 6. She wants to test the probability of the die rolling an even number or an odd number. Vivica rolls the cube several times and records each outcome in the following table. Based on Vivica’s results, what outcome should she expect on the next (eighth) roll?
1 Odd
2 Odd
3 Even
4 Even
5 Odd
6 Odd
7 Even
8 ?
A.) Vivica should not have an expectation, because the probability of the outcome being even is the same as it is for being odd.
B.) Vivica should expect the next roll to be odd, because the last roll was even.
C.) Vivica should expect the next roll to be even, because that would fit the established pattern. (INCORRECT ANSWER)
D.) Vivica should expect the next roll to be even, because the last roll was even.

Answer:

Step-by-step explanation: Parts of a circle.

Radius - the side of one slice of pizza

minor arc - The arc formed by the outer side of 3 or less slices of pizza

Diameter - the slice of pizza from side to side that passes through the center

Major arc - The arc formed by the outer side of 5 to 7 slices of pizza

semi circle - 4 slices of pizza or half of the whole pizza

Pairs:

angle BAC - Inscribed angle

Line IE - Secant

Segment AC - Chord

Arc FH - Minor arc

Angle HGF - Circumscribed angle

The complete sentences are:

A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. Every secant line defines a distinct chord, and each chord is in its own unique secant line.

Given:

We have circle with center O.

Now, <BAC is inside the circle.

So, <BAC is an  Inscribed angle.

then, IE is a secant as it is intersecting circle at two points

then, AC id a chord

then, Arc FH is a minor arc

and, <HGF is an Circumscribed angle as it is outside the circle.

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Answer:

The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Step-by-step explanation:

If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:

70 degrees and its corresponding angle (also 70 degrees)

x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)

Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:

x = 70 degrees

y = 180 - x = 180 - 70 = 110 degrees

To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:

z + 70 + 70 + 110 = 360

z + 250 = 360

z = 110 degrees

Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Answer:

=

Step-by-step explanation:

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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Answer:

y = 43x -1

Step-by-step explanation:

Using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 43x -1

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy

Step-by-step explanation:

Given

\(Alloy\ 1 = 45\%\)

\(Alloy\ 2 = 95\%\)

Required

How much of each alloy is needed for 70% silver alloy 139 tons

Let the amount of alloy 1 needed be x and the amount of 2 needed by y.

So:

\(x + y = 139\)

Make y the subject

\(y = 139 - x\)

The percentage of each needed is represented as:

\(45\% * x + 95\% * y = 139\)

\(45\% * x + 95\% * y = 70\% * 139\)

\(0.45x + 0.95y = 0.70 * 139\)

\(0.45x + 0.95y = 97.3\)

Substitute 139 - x for y in the above equations

\(0.45x + 0.95*(139-x) = 97.3\)

\(0.45x + 0.95*139-0.95*x = 97.3\)

\(0.45x + 132.05-0.95x = 97.3\)

Collect Like Terms

\(0.45x -0.95x = 97.3-132.05\)

\(-0.50x = -34.75\)

Make x the subject

\(x = \frac{-34.75}{-0.50}\)

\(x = 69.5\)

Recall that:

\(y = 139 - x\)

\(y = 139 - 69.5\)

\(y = 69.5\)

This implies that:

69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy

Answer:D

Step-by-step explanation:

please mark brainliest

Answer:

774 lb

Step-by-step explanation:

weight = volume * density

radius = diameter/2

volume = (4/3)πr^3

volume = (4/3)(3.14)(4.7/2 ft)^3

weight = (4/3)(3.14)(4.7/2 ft)^3 * 14.25 lb/ft^3

weight = 774 lb

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36

We know that, the standard form of equation of a circle is expressed as:

(x-a)^2 + (y-b)^2 = b=r^2

where;

(a, b) is the center of the circle

r is the radius of the circle

From given information,

diameter = 12 units

radius = 12/2

           = 6 units

It is given that, the center lies on the y-axis, the center will be at (0, 3)

Substituting above values in the formula,

(x-0)^2 + (y-3)^2 = 6^2

x²+ (y-3)² = 36

Therefore, an equation that represent circle that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y - 3)² = 36

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Answer:

C: parallelogram

Step-by-step explanation:

Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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The number of ways that 4 books can be arranged on a shelf are= 24. That is option 2.

To calculate the number of ways 4 books can be arranged is the find the permutation.

That is ,

4! = 4×3×2×1

4! = 24

Therefore, the number of ways that 4 books can be arranged on a shelf are= 24

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The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A

The vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.

In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:

\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)

From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).

The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.

The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is  \((x - 4)^2 - 20.\)

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Answer: $320.50 x .04 = 12.82. Add them final answer =$333.32

Step-by-step explanation:

Answer:

Step-by-step explanation:

yes that is correct!-2

Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Answer:

7.5 sq ft

Step-by-step explanation:

1.5*5=7.5

The design is 1/5 of the actual size, so you just multiply by 5 to get the real size.

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

0.9, 0.75, 0.66, 0.62, 0.59

0.92, 0.85, 0.49, 0.38, 0.23

0.08, 0.11, 0.46, 0.51, 0.72

0.02, 0.1, 0.15, 0.33, 0.88

0.96, 0.79, 0.67, 0.4, 0.24

0.09, 0.28, 0.37, 0.4, 0.55

Answer: 4

Step-by-step explanation: because he needs to divided by 2

Answer:

A reduction of 450ml

Step-by-step explanation:

Given

\(V_1 = 200ml\) -- To glass 1

\(V_2 = 250ml\) --- To glass 2

Required

The final change to the carton

To do this, we simply add V1 and V2

So, we have:

\(Total = V_1 + V_2\)

\(Total = 200ml + 250ml\)

\(Total = 450ml\)

This implies that the changes is a reduction of 450ml

======================================================

Explanation:

Vector u has magnitude 8 and direction 150 degrees.

So r = 8 and theta = 150

The polar form

r*(cos(theta)+i*sin(theta))

updates to

8*(cos(150)+i*sin(150))

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

Use your calculator to evaluate that last expression to get it into a+bi form

8*(cos(150)+i*sin(150))

8*(-0.866025 + i*0.5)

-6.9282 + 4i

So this is the a+bi form of vector u. It's a rough approximation of it.

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

Repeat those steps for vector v

v = r*(cos(theta)+i*sin(theta))

v = 3*(cos(115)+i*sin(115))

v = 3*(-0.422618 + i*0.906308)

v = -1.267854 + 2.718924i

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

We're converting each vector to a+bi form so that we can add the vectors.

The general idea is that if you want to add v = a+bi and w = c+di, then

v+w = (a+c)+(b+d)i

we simply add the corresponding real components together, and the imaginary components are added together as well.

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

Add up u and v

u+v = (-6.9282 + 4i) + (-1.267854 + 2.718924i)

u+v = (-6.9282 + -1.267854) + (4i + 2.718924i)

u+v = -8.196054 + 6.718924i

When rounding to four decimal places, the real and imaginary components are -8.1961 and 6.7189 respectively. These represent the x and y components of the vector.

So we can say vector u+v is approximately < -8.1961, 6.7189 >

Answer:

12/15

Step-by-step explanation:

12/1x1/15=12/15

After considering all the given data we conclude that the probability of randomly choosing a specified point within the circle that comes in the red-shaded square is 0.06.

Now we can clearly evaluate the possible probability of selecting a point randomly inside the circle under the section of red shaded square and derive a formula
\(P = (d - 4r)^2 / d^2\)
Here,
d = diameter of the circle
r = square side length
For the given case,
d = 4 and r = 3.
Then,
P = (4 - 4×3)² / 4²
P = (4 - 12)²/ 4²
P = 0.06
Rounding to the nearest hundredth, P = 0.06.

Hence, the evaluated probability of selecting a point randomly inside a circle which falls in the red-shaded square is approximately 0.06.
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Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer:

arc length   =   circumference • [central angle (degrees) ÷ 360]

central angle (degrees)  = 360 * arc length / circumference

circumference = PI * 2 * 4 = 25.1327412287

central angle (degrees)  = 360 * 10 / 25.1327412287

central angle (degrees)  = 143.2394487828

answer is A--------