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The probability of rolling a single six-sided die and getting a prime number (2, 3, or 5) is 1/2.

The probability of rolling a single six-sided die and getting a prime number (2, 3, or 5) can be found by counting the number of possible outcomes that meet the condition and dividing by the total number of possible outcomes.

There are three prime numbers on a six-sided die, so there are three possible outcomes that meet the condition.

The total number of possible outcomes on a six-sided die is six since there are six numbers (1 through 6) that could come up.

So, the probability of rolling a single six-sided die and getting a prime number is 3/6, which simplifies to 1/2.

Therefore, the answer to your question is 1/2.

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Answer:

No

Step-by-step explanation:

The formula is a² + b² = c²

2² + 4² = 5²

4 + 16 = 25

20 ≠ 25

20 is not equal to 25, so 2, 4, 5 does not make a right angle triangle.

Answer: Yes.

Step-by-step explanation:

2 + 4 > 5  

2 + 5 > 4  

4 + 5 > 2  

Answer:

yes

Step-by-step explanation:

from the two sets of given points, we can conclude a translation of (x + 4, y + 0) occurred. when something is congruent the size and shape stay the same. translations only affect the location. therefore the answer is yes the transformation is congruent.

It is uncertain whether the corresponding 98% CI (Confidence interval), using the same data will contain zero. It is Possible that the new 95% CI will not contain zero due to different data, or still contain zero depending on data and distribution.

It is not possible to determine with certainty whether the corresponding 98% confidence interval (CI) will contain the number zero without knowing the underlying distribution and the sample size. However, it is possible for the 98% CI to not contain the number zero, even if the 95% CI did contain the number zero.

This is because the 98% CI will be wider than the 95% CI, and therefore, it is possible for the range of values to exclude the number zero.

If new data is collected and a 95% CI is constructed using this data, it is possible that the interval will not contain the number zero, even if the previous 95% CI did contain the number zero. This is because the new data may provide a different estimate of the population mean, resulting in a different confidence interval.

However, it is also possible that the new 95% CI will still contain the number zero, depending on the new data and the underlying distribution.

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Answer jose needs to get 7 more A's because 5+7=12 so if 50+70=120 then he will need to get 7 more a's hope this helps :)

Step-by-step explanation:

Answer:

He needs 7 A's.

Step-by-step explanation:

The pictures.

Hope this helps!!! :)

Answer: answers on brainly are below the question

Step-by-step explanation:

The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).

By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).

The other transformations listed do not match the given image coordinates and would not produce the desired result.

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Answer:

(x, y) → (x, −y) → (x + 1, y + 1)

Step-by-step explanation:

Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):

B'(-3, 0) → B'(-3, 0)

C(2, -1) → C(2, 1)

D(-1, 2) → D(-1, -2)

Translate the reflected vertices by (1, 1):

B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)

C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)

D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)

So, the correct sequence of transformations is:

(x, y) → (x, -y) → (x + 1, y + 1)

(Image provided for more proof)

The angle of the parallelogram is mZDCF= 61°

DF= EB and EF = AD

DF =18, mZDEF =61°

□CDEF is parallelogram, so mZDEF =61°

With two sets of parallel sides, a parallelogram is a quadrilateral. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. The total internal angles add up to 360 degrees.

The term "parallelepiped" refers to a three-dimensional shape with parallelogram-shaped faces. The parallelogram's base (one of its parallel sides) and height (the distance between its top and bottom elevations) determine its area. The lengths of the four sides determine a parallelogram's perimeter.

A parallelogram's characteristics are shared by the shapes of a square and a rectangle. Rhombus: A parallelogram is a rhombus if all of its sides are congruent or equal to one another.

Hence, the angle of the parallelogram is mZDEF =61°

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Answer:

the lower bound = 0.445

Step-by-step explanation:

you need to get the lowest number that rounds up to 0.45 :)

Answer:

Step-by-step explanation:

Types of quadrilaterals are parallelograms, rectangles, squares, rhombi, trapezoids, kites, and isosceles trapezoid.

A polygon having four sides and four angles are called a quadrilateral. Quadrilaterals come in a wide variety of forms, each with its own set of qualities and attributes.

Some of the most typical varieties are listed below:

Parallelogram - A quadrilateral has opposing sides that are equally long and parallel.

Rectangle - A parallelogram with all angles at 90 degrees is referred to as a rectangle.

Square - A rectangle with equally long sides.

Rhombus - A parallelogram with equal-length sides is referred to as a rhombus.

Trapezoid - A quadrilateral with just one set of diagonally opposed sides is called a trapezoid.

Kite - A quadrilateral has two sets of adjacent sides that are of equal length or a kite.

Isosceles trapezoid - An isosceles trapezoid is one with equally long non-parallel sides.

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Answer:

Volume of Cube = length cube

Total surface area=2(lb+lh+bh)

Volume of Cuboid=l×b×h

I think it will help you.

Building the Cartesian Plane with the proper scale we can conclude that

Answer:

Im pretty sure its D

Step-by-step explanation:

Answer:

#13050

Step-by-step explanation:

lxw

30x35= 1050

Answer:

and now i tried

Step-by-step explanation:

hello new challenger (:<

Answer:

1.5gallons

Step-by-step explanation:

Here,

no. of bottles(a) : 12

no. of cups (b) :a*2

=12*2

=24

Now,

No. of gallons. :24/16

:1.5gallons

.·.A cartoon contains 1.5 gallons of lemon tea.

Answer:

g(x) = -f(x)

Step-by-step explanation:

When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)

The graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Reflection across the x-axis is defined as reflecting a point across the x-coordinate and y-coordinate change places, and When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)

To determine the graph of f(x) = 3x is reflected across the x-axis.

So the graph of f(x) = 3x is reflected across the x-axis.

⇒ g(x) = f(-x) = 3x

Hence, the graph of f(x) = 3x is reflected across the x-axis is  g(x) = f(-x) = 3x.

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Answer:

132

Step-by-step explanation:

Just divide by diving 2 by 2 which is 1, then 6 divided by 2 is 3 and 4 divided by 2 is 2. Write the numbers together which is 132.

The quotient from the given division is 132 and the remainder is 0.

Given that, 264 divided by 2.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 264/2

2|264|132

  2

_____

  64

  6

______

     4

     4

______

     0

Thus, quotient = 132 and remainder=0

Therefore, the quotient from the given division is 132 and the remainder is 0.

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\(67 = -24x + 379\\\)

Subtract 379 from both sides.

that gives us: \(-312 = -24x\)

divide both sides by -24 which equals: x = 13.

13 weeks

Answer:

13 weeks

Step-by-step explanation:

e d g e n u i t y 2020

An irrational number is created by adding two rational numbers, according to the answer to the given question. If the oppositely irrational numbers a and b.

Rational numbers are those that may be written as a ratio (or fraction) of two integers. A fraction with a non-zero denominator is said to be rational.

A few instances of rational numbers are 1/2, 1/5, and 3/4. A rational number, “0,” can also be stated in a number of different ways, such as 0/1, 0/2, and 0/3. But 1/0, 2/0, 3/0, and so forth.

The number seven makes sense. A rational number is produced when two integers are split. To get the rational number 7, divide the whole number 7 by the whole number 1. Since 7 can be obtained by dividing two integers, it is referred to as a rational number.

Two rational integers added together yield an irrational number. Ab is irrational if and only if a and b are mutually exclusive irrational numbers.

Therefore, a = 2 and b = ab = 2 is an irrational number.

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The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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Answer:

D.8

Step-by-step explanation:

A cube's volume is basically the side length multiplied by itself 3 times, so if it was increased by a factor of 2, it would mean 2x2x2 which equals 8.

Answer:

6 + 3x

Step-by-step explanation:

3 * 2 and 3 *x

= 6 + 3x

you can not break that down any farther so it stays at "6 + 3x".

Hope this helps!

Answer:

3(2 + x) = 0

6 + 3x = 0

3x = -6

x = -6/3

x = -2

Hope this help. Do vote me for this. Thanks.

Answer: 4 parts sugar to 3 parts water would be the answer

Step-by-step explanation:

3 + 1 =4 and 2+1=3

4 parts sugar to 3 parts water  is what i got correct on my test hope it helps

Answer:

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

If you add a parallel line through the point Q, then angle TQR will be divided by two angles.

One of them is congruent to ∠STQ and another one is congruent to ∠PRQ as alternate interior angles.

Therefore:

Answer:

El conjunto de números racionales se denota con la letra mayúscula latina Q presentada en un tipo de letra de doble trazo. Es parte de una familia de símbolos, presentados en un tipo de letra de doble trazo, que representan los conjuntos de números utilizados como base para las matemáticas.

Step-by-step explanation:

The result of each operation is given as follows:

a) a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

b) a ∩ b = {}.

c) a - b = {0, 2, 4, 6, 8}.

The union and intersection sets of multiple sets are defined as follows:

Item a:

The union set is composed by the elements that belong to at least one of the sets, hence:

a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

Item B:

The two sets are disjoint, that is, there are no elements that belong to both sets, hence the intersection is given by the empty set.

Item c:

The subtraction is all the elements that are on set a but not set b, hence:

a - b = {0, 2, 4, 6, 8}.

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We are given that {P0, P1, P2, P3} is an orthogonal basis for the subspace P4, where P0=1, P1=x, P2=x², and P3 is an unknown polynomial. Since {P0, P1, P2, P3} is a basis for P4, we know that any polynomial of degree at most 4 can be expressed as a linear combination of these four basis polynomials.

To find P3, we will use the fact that the basis is orthogonal. This means that the inner product of any two basis polynomials is zero. In particular, we have:

<P3, P0> = 0

<P3, P1> = 0

<P3, P2> = 0

Using the definition of the inner product, we can write these equations as:

∫P3(x)dx = 0

∫xP3(x)dx = 0

∫x^2P3(x)dx = 0

We need to find a polynomial P3 that satisfies these three equations. To do so, we can start by assuming that P3 is a polynomial of degree 3, i.e., P3(x) = ax^3 + bx^2 + cx + d. Then we can substitute this expression into the three equations above and solve for the coefficients a, b, c, and d.

∫P3(x)dx = ∫(ax³ + bx² + cx + d)dx = (a/4)x⁴ + (b/3)x³ + (c/2)x² + dx + C = 0

where C is a constant of integration. Since this equation must hold for all values of x, we can set each coefficient to zero:

a/4 = b/3 = c/2 = d = 0

Solving these equations gives a=b=c=d=0, which means that P3 is the zero polynomial. However, this means that {P0, P1, P2, P3} is not a basis for P4 since P3 is not a nonzero polynomial.

To fix this, we can instead assume that P3 is a polynomial of degree 2, i.e., P3(x) = ax^2 + bx + c. Substituting this into the three equations above and solving for a, b, and c, we get:

∫P3(x)dx = ∫(ax² + bx + c)dx = (a/3)x³ + (b/2)x² + cx + C = 0

∫xP3(x)dx = ∫(ax³ + bx² + cx)dx = (a/4)x⁴ + (b/3)x³ + (c/2)x² + Cx + D = 0

∫x²P3(x)dx = ∫(ax⁴ + bx³ + cx²)dx = (a/5)x⁵ + (b/4)x⁴ + (c/3)x³ + Ex² + F = 0

where C, D, E, and F are constants of integration. Since we know that P3 is not the zero polynomial, we can choose one of these constants (say, C) to be 1 without loss of generality. Then we can solve for the other constants in terms of a, b, and c:

C = 1

D = -2b/3

E = -2c/5

F = -2b/3 - 2

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