A box of chocolates contains five milk chocolates, three dark chocolates, and four white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is white chocolate, and the third is milk chocolate. Find the probability of this occuring.
A. 28/165
B. 1/8
C. 180/1331
D. 2/33

Answer:

(a)

\(\sqrt{105} => Irrational\)

\(-4 => Integer\)

\(\frac{4}{3} => Rational\)

(b)

\(-4\)    \(\frac{4}{3}\)     \(\sqrt{105}\)

Step-by-step explanation:

Given

\(\sqrt{105}\)

\(-4\)

\(\frac{4}{3}\)

Solving (a): The category of number the belong to

\(\sqrt{105}\)

Solve the square root

\(\sqrt{105} = 10.246950766\)

The result is irrational;

So:

\(\sqrt{105} => Irrational\)

\(-4 => Integer\)

\(\frac{4}{3}\)

This has an integer numerator and denominator;

So:

\(\frac{4}{3} => Rational\)

Solving (b): Order from least to greatest

i. \(\sqrt{105} = 10.246950766\)

ii. \(-4\)

iii. \(\frac{4}{3} = 1.33333\)

List out the corresponding numbers:

10.246950766; -4 and 1.333333

Reorder: from least to greatest:

-4; -1.3333333 and 10.246950766

Hence; The correct order is:

\(-4\)    \(\frac{4}{3}\)     \(\sqrt{105}\)

Answer:

Below

Step-by-step explanation:

Circumference of a circle = pi * diameter

                             circumference of ferris wheel = 3.14159 * 520=1633.6 ft

Answer:

  (a)  seventy-three and three fifths square inches

Step-by-step explanation:

You want to know the area of the quilt block shape shown.

The shape can be considered to be composed of a rectangle 10.6 inches long, together with a right triangle with side lengths 4 and 5 inches.

The relevant area formulas are ...

  triangle: A = 1/2bh

  rectangle: A = bh

The area of the triangle is ...

  A = 1/2(5 in)(4 in) = 10 in²

The area of the rectangle is ...

  A = (10.6 in)(6 in) = 63.6 in²

The total area is ...

  10 in² +63.6 in² = 73.6 in²

The area of the shape is 73 3/5 square inches.

<95141404393>

Answer:

439.6

Step-by-step explanation:

r times 2 (Because 70 is half of the...)=140 times pie or just round it to 3.14

So= 70 times 2 times 3.14

Answer:

8.5

Step-by-step explanation:

:)

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

Read more on scale factor here: brainly.com/question/29967135

#SPJ1

x = 5pi/6 is not in the interval [0, pi/2]

Starting with the given equation:

4 cos x - 8 sin x cos x = 0

We can factor out 4 cos x:

4 cos x (1 - 2 sin x) = 0

So either cos x = 0 or (1 - 2 sin x) = 0.

If cos x = 0, then x = pi/2 since we're only considering the interval [0, pi/2].

If 1 - 2 sin x = 0, then sin x = 1/2, which means x = pi/6 or x = 5pi/6 in the interval [0, pi/2].

So the two solutions in the interval [0, pi/2] are x = pi/2 and x = pi/6.

That x = 5pi/6 is not in the interval [0, pi/2].

for such more question on  interval

https://brainly.com/question/22008756

#SPJ11

The given equation is 4 cos x - 8 sin x cos x = 0. To find the solutions in the interval [0, pi/2], we need to solve for x.
Find the solutions within the given interval. Equation: 4 cos x - 8 sin x cos x = 0

First, let's factor out the common term, which is cos x:

cos x (4 - 8 sin x) = 0

Now, we have two cases to find the solutions:

Case 1: cos x = 0
In the interval [0, π/2], cos x is never equal to 0, so there is no solution for this case.

Case 2: 4 - 8 sin x = 0
Now, we'll solve for sin x:

8 sin x = 4
sin x = 4/8
sin x = 1/2

We know that in the interval [0, π/2], sin x = 1/2 has one solution, which is x = π/6.

So, in the given interval [0, π/2], the equation has only one solution: x = π/6.

To learn more about factor : brainly.com/question/14209188

#SPJ11

The missing reason in the list you provided is the "Converse Corresponding Angles Theorem."

The Converse Corresponding Angles Theorem states that if two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.

In other words, if a pair of corresponding angles formed by a transversal cutting two lines are congruent, then the two lines are parallel.

This theorem is commonly used in geometry to prove the parallelism of lines based on the congruence of corresponding angles.

In summary the missing reason in the list you provided is the "Converse Corresponding Angles Theorem," which states that if two lines are intersected by a transversal and the corresponding angles are congruent, then the lines are parallel.

Learn more about congruent here: https://brainly.com/question/30097377

#SPJ11

First look at one of the point covered by the black shape, example of which being (2,2).

Next look at where the corrosponding point on the dilated figure is, so keeping with the sample, (10,10).

With this, knowing that both of the shapes are centered around the origin and that they are dilations of each other, do 10/2. to give you 5.

This would be the dilation needed to get the black shape to become the black shape.

Hope that helps.

The perimeter of the region swept out by a circle with radius 2, when translated 5 units, remains the same at 4π or approximately 12.57 units.



When a circle is translated, its center is moved without changing its shape or size. In this case, the circle with a radius of 2 is translated 5 units. Since the translation is in a straight line, the shape swept out by the circle is a larger circle with the same radius.

The perimeter of a circle is given by the formula:P = 2πr

where P is the perimeter and r is the radius.

For the original circle with a radius of 2, the perimeter is:

P1 = 2π(2) = 4π

For the translated circle with the same radius, the perimeter is also:

P2 = 2π(2) = 4π

Therefore, the perimeter of the region swept out by the circle is the same as the perimeter of the original circle, which is 4π or approximately 12.57 units.

To learn more about perimeter click here

brainly.com/question/7486523

#SPJ11

Answer:

15

Step-by-step explanation:

(2x-1)+(x+17)+(4x-15)=106º

2x+x+4x=7x

-1+17-15=1

7x+1=106º

         -1

7x=105º

/7     /7

x= 15

Answer:

Step-by-step explanation:

If point I is on the line segment HJ, then HI+IJ = HJ

Given the parameters

H I = 2 x

H J = 4 x

IJ=4x−10

Substituting the given parameters into the formula;

2x+4x-10 = 4x

6x-10 = 4x

collect like terms

6x-4x = 10

2x = 10

divide both sides b 2;

2x/2 = 10/2

x = 5

Since IJ = 4x-10

Substitute x = 5 into IJ

IJ = 4(5)-10

IJ = 20-10

IJ = 10

Answer:

Step-by-step explanation:

its 10

The two non negative real numbers with a sum of 60 that have the largest possible​ product are 30 and 30.

What are non negative numbers?

Non-negative numbers are those that are either zero or positive (remember that 0 and 0 are the same). An integer that is either positive or zero is considered a non-negative integer. It is the result of adding all the natural numbers together with zero. It can be defined as the set "0, 1, 2, 3,...," and is also known as Z.

An integer that is either positive or zero is considered a non-negative integer.

Let us assume the two non negative numbers are \(x\) and \(y\).

According to the question,

Sum of two non negative numbers = 60

⇒ \(x+y=60\)

⇒ \(y=60-x\)

Their product will be given as,

⇒ \(P=xy\)

⇒ \(P=x(60-x)\)

⇒ \(P=60x-x^2\)

For the product to be largest \(P'(x)=0\)

⇒ \(P'(x) = 60-2x\)

⇒ \(60-2x=0\)

⇒ \(2x=60\)

⇒ \(x=30\)

Now, for the value of \(y\)

⇒ \(y=60-x\)

⇒ \(y=60-30\)

⇒ \(y=30\)

Therefore, the two non negative numbers are 30, 30.

To know more about the non negative numbers..........

https://brainly.com/question/19578996

#SPJ4

Using the normal distribution, it is found that:

1. 85% of NBA players are taller than Greg.

2. 15% are shorter.

3. A height of 6'11'' would be needed.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

Item 1:

The proportion is one subtracted by the p-value of Z, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{75 - 79}{3.9}\)

\(Z = -1.03\)

\(Z = -1.03\) has a p-value of 0.15

1 - 0.15 = 0.85.

85% of NBA players are taller than Greg.

Item 2:

100 - 85 = 15% are shorter.

Item 3:

This is X when Z has a p-value of 1 - 0.025 = 0.975, so X when Z = 1.96.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.96 = \frac{X - 75}{3.9}\)

\(X - 75 = 1.96(3.9)\)

\(X = 83\)

83 = 6 x 12 + 11.

A height of 6'11'' would be needed.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

B. 6x+18

Hope this helps!

Step-by-step explanation:

The value for g is 2, meaning that each family bowled 2 games.

How to solve linear equations?
Given that the largest power of the variable (or pronumeral) in these equations is 1, linear equations are also known as first-degree equations. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.
The steps that should be followed while solving linear equations are listed below:
1) We must first determine which variable we need to isolate.
2) Next, make a distinction between variables and constants.
3) Arrange the constants on the right and the variables on the left.
4) Using established axioms, we carry out algebraic operations to determine the variable's value.

Given, the equation is 6(8g + 2) + 45 = 153
Following the steps in the available literature, we have the equation as:
6(8g + 2) + 45 = 153 ⇒ 48g + 12 + 45 = 153 ⇒ 48g = 153 - 45 - 12 = 96
⇒ g = 96/48 ⇒ g = 2
Thus, g as suggested will determine number of times each family bowled.

To learn more about this, tap on the link below:
https://brainly.com/question/2030026

#SPJ9

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 5 ← is in slope- intercept form

with m = 3

Part 1

slope of line q is 3

Part 11

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) = - \(\frac{1}{3}\) ← slope of line p

Answer:

The Answer is D

Step-by-step explanation:

Just wanted to let everyone know so that they don't have to deal with the other answer.

The definition of the piecewise function in this problem is given by:

a. y = x + 1, x ≤ 2.

   y = x + 1, x > 2.

A piecewise function is a function that has different definitions, depending on the input.

here, we have,

For x until x = 2, we have a linear function with an intercept of 1 and slope of 1, hence the definition is:

y = x + 1, x ≤ 2.

After x = 2, the function is shifted up one unit, hence:

y = x + 1 + 1, x > 2

y = x + 2, x > 2.

Hence option A is correct.

The definition of the piecewise function in this problem is given by:

a. y = x + 1, x ≤ 2.

   y = x + 1, x > 2.

More can be learned about piecewise functions at brainly.com/question/27262465

#SPJ7

complete question:

the picture is given.

A factor for this biquadratic polynomial equation is 9(y^3+3).

The factor(s) of a polynomial equation are numbers or expressions, that if multiplied together, give the result of the original polynomial equation.

The original polynomial equation is calculated as:

= 6z^4 -4+9(y^3+3)

=  6z^4 - 4+9y^3 + 27

= 6z^4 +9y^3 + 23

The factor from the biquadratic polynomial equation is 9(y^3+3).

Learn more about factors of a polynomial equation here:
https://brainly.com/question/1600696

#SPJ1

The Value of probability for the distribution is 0.24 and -0.29

Probability distribution is a statistical function that describes all the possible values and probabilities for a random variable within a given range

F(x) = P(X ≤ x) = P(a < X ≤ b) = f(b) - f(a)

The Probability Distribution is given

(1) By looking at the table ,

Value P(x = 0 ) at x =0 is 0.24

Hence , P(x=0) = 0.24

Option b is correct

(2) P(-10 ≤x ≤ 15) = P(x = 15) - P(x = -10)

By using the table ,

=> 0.05 - 0.34

=> -0.29

Option c is correct.

To know more about Probability distribution here

https://brainly.com/question/14210034

#SPJ4

Step-by-step explanation:

I got 47.5 for this, not sure if its right though.

Answer:

Relation 1 is a function. Relation 2 is not a function.

Step-by-step explanation:

If the domain is used more than once it is not a function. For example, in Relation 2, -3 was used twice.

The requried, relation 1 is a function, and Relation 2 is not a function, based on the condition of uniqueness in the domain-to-range mapping.

In Relation 1, it is stated that it is a function. This means that each input value (domain) is associated with exactly one output value (range), and there are no repeated domain values.

On the other hand, in Relation 2, it is mentioned that it is not a function. This is because the domain value of -3 is used twice, violating the requirement of a function where each input should have a unique output.

Therefore, Relation 1 is a function, and Relation 2 is not a function, based on the condition of uniqueness in the domain-to-range mapping.

Learn more about function here:

https://brainly.com/question/17009254

#SPJ4

Step-by-step explanation:

Image 1:

Blank 1: (0,5)

Blank 2: (5,0)

Blank 3: (0,-5)

Blank 4: (-5,0)

Image 2:

C, Both B and D only have one line of symmetry. Choice A has more than 2 because you can evenly split the kite by its vertices and its lengths.

Image 3:

B, a regular quadrilateral is named this way because it contains both the point and linear symmetry. By definition, a regular quadrilateral must have 4 equal sides and angles and must have its diagonals bisect each other.

Image 4:

B, Point symmetry only. This is because when flipped upside down, the shape would still look the same. This would not be rotational symmetry because it does not look 100% like the original after rotating it to a certain degree.

In this simulation experiment, the population distribution represents the lifetimes of a certain type of electronic control and the density curve in the figure represents the population distribution.

The distribution is skewed and follows a lognormal distribution with an expected value of ln(X) equal to 3 and a variance of ln(X) equal to 0.16. The experiment consisted of 500 replications and examined different sample sizes: n = 5, n = 10, n = 20, and n = 30.

The density curve in the figure represents the population distribution, with an expected value of E(A) equal to 21.7584 and a variance of V(X) equal to 82.1449. The histograms shown illustrate the distribution of sample means for the different sample sizes. Additionally, a normal probability plot from MINITAB is included for the x-values based on a sample size of n = 30, allowing for an assessment of the normality assumption for the sample means.

These visual representations provide valuable insights into the characteristics of the simulated experiment's population distribution, as well as the behavior of the sample means for different sample sizes.

Learn more about population distribution here:

https://brainly.com/question/31646256

#SPJ11

The complete question is:

Consider a simulation experiment in which the population distribution is quite skewed. The figure below shows the density curve for lifetimes of_a certain type of electronic control [this is actually a lognormal distribution with E(ln(X)) = 3 and V(ln(X)) = 0.16]. The statistic of interest is the sample mean X. The experiment utilized 500 replications and considered these sample sizes: n = 5, n = 10, n = 20, and n = 30. The resulting histograms along with a normal probability plot from MINITAB for the x values based on n = 30 are shown in the figures below. Density curve for the simulation experiment (E(A) = 21.7584, V(X) = 82.1449].

Answer:

its $520

Step-by-step explanation:

The distance the bird has flown by the time Alice and Bob meet is 40 feet.

Distance is a measurement of time and speed.

The distance equals speed multiplied by time.

Distance between Alice and Bob = 1,000 feet

Distance between the bird and Bob = 1,000 feet

Speed of Alice and Bob = 10 feet per second, respectively

The combined speed of Alice and Bob = 20 feet per second

Since the two are running directly toward each other, the distance each will cover at the meeting point is 50 feet (1,000/20)

The time covered at the meeting point = 20 seconds (1,000/50)

Speed of the bird = 20 feet per second

The distance covered by the bird towards Bob at their meeting point is 40 feet (20 feet x 20 seconds)

Thus, the total distance covered by the bird at the meeting point is 40 feet.

Learn more about distance, time, and speed athttps://brainly.com/question/26046491

#SPJ1

Yes, If ABCD ≅ EFGH, are all corresponding parts congruent or same.

Congruent figures are identical in terms of both size and shape. Congruent figures have equal comparable sides and angles.

Congruent figures are identical copies of one another.

In other words, two figures are congruent if they can be converted into one another through a series of translations, rotations, and/or reflections.

Hence, Yes, If ABCD ≅ EFGH, are all corresponding parts congruent or same.

To learn more about congruent here:

https://brainly.com/question/12413243

#SPJ1