Abox of chocolate candy contains 4 butter-cream-filled, 3 raspberry-
filled, 2 peanut butter-filled, 5 caramel-filled, and 6 nut-filled chocolates.
If Monica randomly selects a piece of candy, what is the probability that
she will pick a butter-cream-filled chocolate ?
A 0.10
B. 0.15
C. 0.20
D. 0.25

Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.

Integers are whole numbers such as 1, 15, and 55. There are no decimals and they do not come in the form of fractions.

Integers can be negative or positive. Positive integers are always higher than negative integers. For instance, 1 is more than -500,000.

If both integers are negative, the larger looking number is considered smaller. For instance, -5 is more than -55. For positive integers, this is the reverse with larger looking numbers being larger.

An example of the correct order of intergers based on this dataset (1, 52, -800, 86, 5, and -4) is:

= -800, -4, 1, 5, 52, 86

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Answer:

positive association

Step-by-step explanation:

The longer a movie is, the more screen time it will have, and the more actors it will probably need.

[tex]\\ \rm\Rrightarrow \dfrac{7513/100\times 5x^3}{3x^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{75.13(5)x^3}{3x^2}[/tex]

[tex]\\ \rm\Rrightarrow {125.22x}[/tex]

Answer:

Anything more than $13

Step-by-step explanation:

Answer:

X > 3

Step-by-step explanation:

When divided or multiplied by a negative number the inequality will change

The probability of not picking a red marble is 0.2.

The probability of picking a yellow or green marble is 0.5

The probability of drawing an even number of a number greater than 4 is  1.

The probability of getting heads and an even number is 1.

The probability of drawing a 2 or a 4 is 0.25.

Probability determines how likely it is for an event to happen. The chances of the event occurring lies between 1 and 0.

The probability of not picking a red marble = (number of all the marbles - red marbles) / total marbles

4/20 = 0.2

The probability of picking a yellow or green marble = (number of yellow marbles / total number of marbles) + (number of green marbles / total number of marbles)

2/20 + 8/20 = 10/20 = 0.5

The probability of drawing an even number of a number greater than 4 = (number of even numbers / total numbers) + (numbers greater than 4 / total numbers)

5/10 + 5/10 = 1

The probability of getting heads and an even number is = (side that is head / total sides) x (even numbers on a die / total numbers on a die)

1/2 x 3/6 = 1

The probability of drawing a 2 or a 4 = 1/8 + 1/8 = 2/8 = 0.25

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The extension cord is an illustration of unit rates, and the price per foot is $0.47 per foot

The given parameters are:

Length = 6 yards

Cost = $8.46

Convert the length from yard to feet.

So, we have:

Length = 6 feet * 3

This gives

Length= 18 feet

The price per foot is then calculated using:

Rate = Cost/Length

This gives

Rate = 8.46/18

Evaluate

Rate = 0.47

Hence, the price per foot is $0.47 per foot

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Considering the definition of combination, she could choose 190 different pairs of team.

Combinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.

To calculate the number of combinations, the following formula is applied:

[tex]C=\frac{m!}{n!(m-n)!}[/tex]

The term "n!" is called the "factorial of n" and is the multiplication of all numbers from "n" to 1.

Ms. lewis has 20 students in her p.e. class. She puts each student's name in a hat and will select the names of 2 students at random as team leaders for a volleyball game.

So, you know that:

Replacing in the definition of combination:

[tex]C=\frac{20!}{2!(20-2)!}[/tex]

Solving:

[tex]C=\frac{20!}{2!18!}[/tex]

C= 190

Finally, she could choose 190 different pairs of team.

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Answer:

p(a tail on the second toss) = 4/8

p(exactly one head) = 3/8

p(a head on each of the last two tosses) = 2/8

Step-by-step explanation:

Answer:

[tex]\sf \bf {remainder}: -\dfrac{3}{8}[/tex]

In order to find remainder:

Follow this short technique:

Set the divisor which is x-½  to zero.

x - 1/2 = 0

x = 1/2

Then insert this following into dividend.

insert x = ½

simplify

Answer:

-3/8

Step-by-step explanation:

Let's assume x - 1/2 is a zero of the polynomial :

-3/8 is the remainder.

Answer:

There are several different ways to get the x-intercept and y-intercept of an equation.  The way that I usually do it is setting one of the variables to zero and finding what the other variable is equal to.  For example, if we set x to 0 that means that we are finding the y-intercept as the value of x is 0 which is the y-axis.  This is also how it works when setting y to 0.  First lets find the x intercept by setting y to 0.

[tex]3x - 2y = 6[/tex]

[tex]3x - 2(0) = 6[/tex]

[tex]\frac{3x}{3} = \frac{6}{3}[/tex]

[tex]x = 2[/tex]

We now know that the x-intercept is 2 and now we need to determine what the y-intercept is.  Now we can just set the x to 0 and find the y-intercept.

[tex]3x - 2y = 6[/tex]

[tex]3(0) - 2y = 6[/tex]

[tex]\frac{-2y}{-2} = \frac{6}{-2}[/tex]

[tex]y =- 3[/tex]

Therefore, we know that our x-intercept is (2, 0) and our y-intercept is (0, -3) because the first spot in the coordinate pair is the x-value and the second one is the y-value.

Hope this helps

Answer:

57/100

Step-by-step explanation: 0.57 can also be written as 57/100 which is equal to 0.57

Answer:

  f(4) = 0

Step-by-step explanation:

For many sequences that involve recursive formulas, the quickest way to find the value of a given term is to evaluate those leading up to it. That seems to be the case here.

The next term after the one given is ...

  f(2) = f(1)² -1 = 1² -1 = 0

Then we have ...

  f(3) = f(2)² -1 = 0² -1 = -1

  f(4) = f(3)² -1 = (-1)² -1 = 0

The value of f(4) is 0.

_____

Additional comment

Now that we have seen a few terms of the sequence, we can write an explicit formula for the terms after the first:

  f(n) = (-1 +(-1)^n)/2 . . . integer n ≥ 2

Based on the number of unit cubes that are fastened together, the number of cubes which will have at least one face painted on is 488 cubes.

The cubes formed one large cube which means that each surface is one cube deep. So two cubes will be painted.

The number of unpainted cubes per surface is therefore:

= 10 - 2

= 8 cubes

Number of unpainted cubes is:

= 8 x 8 x 8

= 512 cubes

Number of cubes with one face painted:

= Total cubes - Number of unpainted cubes

= 1,000 - 512

= 488 cubes.

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Answer:

18

Step-by-step explanation:

[tex]184 \times 3 = 59 \div 2 = \times \frac{?}{?} [/tex]

Answer:

The first one is 1/2.

The second blank is 1 1/6

The third blank is 3/2

The fourth blank is 5/3

The fifth blank is 2 2/3.

The sixth blank is 2 5/6.

Using a system of equations, it is found that the cost of a paint set is of $19.50.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Cara brought $34.50 to the art supply store, bought one of each item, and had $2.00 left, hence:

x + y + z = 32.50.

The sketchbook cost half the cost of the paint set, hence:

y = 0.5x.

The brush cost one third of the sketchbook, hence:

z = 0.3333(0.5x) = 0.1667x.

Then, to solve for x:

x + y + z = 32.50

x + 0.5x + 0.1667x = 32.50

x = 32.50/1.6667

x = 19.50.

The cost of a paint set is of $19.50.

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Answer:

8

Step-by-step explanation:

To get a fraction of a number, we will simply multiply this fraction by the number.

The function g(x) is a linear function, and the rate of change over the interval  -2 ≤ x ≤ 4 is 6

The function f is given as:

f(x) =6x - 4

When translated down by 6 units, the rule of translation is:

g(x) = f(x) - 4

So, we have:

g(x) = 6x - 4 - 4

Evaluate

g(x) = 6x - 8

The rate of change over -2 ≤ x ≤ 4 is then calculated using:

g'(x) = [g(b) - g(a)]/[b - a]

So, we have:

g'(x) = [g(4) - g(-2)]/[4 + 2]

Evaluate

g'(x) = [g(4) - g(-2)]/[6]

Calculate g(4) and g(-2)

g(4) = 6 * 4 - 8 = 16

g(-2) = 6 * -2 - 8 = -20

So, we have:

g'(x) = (16 + 20)/6

Evaluate

g'(x) = 6

Hence, the rate of change over the interval  -2 ≤ x ≤ 4 is 6

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Answer: 4) 24

Step-by-step explanation:

The area of the base of the triangular prism is 48 square meters. Then the correct option is B.

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A triangular prism has a height of 6 meters and a triangular base with the following dimensions.

The figure is shown below.

Then the area of the base of the triangular prism will be

[tex]\rm Area = \dfrac{1}{2} \times 16 \times 6\\\\Area = 48[/tex]

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Answer:

the correct answer is d

Step-by-step explanation:

w(s)=weeks saved and 20s is the gain of 20 dollars every week. and the 95 is the starting amount that sam had

Step-by-step explanation:

this simply means that the coordinates are multiplied by the scale factor.

(a, b) -> (a×k, b×k)

that's it.

so, the first answer is correct.

Answer: y  - 6x +46

Step-by-step explanation:

y + 4- 6(x +7)

y + 4 - 6x +42

y  - 6x +46

Answer:

Step-by-step explanation:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

  M = (A +B)/2

__

  M = (3 +5, -6 +8)/2 = (8, 2)/2 = (4, 1)

The midpoint coordinates are (4, 1).

__

  M = (-4 +1, -2 -3)/2 = (-3, -5)/2 = (-3/2, -5/2)

The midpoint coordinates are (-3/2, -5/2).

Answer:

the numbers of students that have pets 44

Step-by-step explanation:

Answer:

5 pens = 15$ and 4 pencils = 4$

Step-by-step explanation:

7-3=4, so 4 pens is 12$

12/4 = 3, so 1 pen = 3$

Remove the pens from the equation

7x3=21

24-21=3

3/3=1, so each pencil costs 1$

4 pencils and 5 pens are worth $23.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let the cost of one pencil be x, and the cost of one pen be y.

Then we can set up the following system of equations based on the given information:

3x + 7y = 24 ...(1)

3x + 3y = 12 ...(2)

Solving these two equations, we can find that x = 2 and y = 3.

Now, we can use these values to find the cost of 4 pencils and 5 pens:

4x + 5y = 4(2) + 5(3) = 8 + 15 = $23

Therefore,

4 pencils and 5 pens are worth $23.

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Answer:

slope m = - [tex]\frac{7}{3}[/tex]

Step-by-step explanation: