Cisco collected 53 pieces of candy on Halloween. He put away 4 dozen pieces to save for later and ate the rest. What percentage of his candies did Cisco put away for later?

Answer: 0.6666666667

Step-by-step explanation: Simplifying

9t + -3t = 4

Combine like terms: 9t + -3t = 6t

6t = 4

Solving

6t = 4

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Divide each side by '6'.

t = 0.6666666667

Simplifying

t = 0.6666666667

Answer:

6t+4

Step-by-step explanation:

khan said so

Answer: 539

Step-by-step explanation: PLATO and Edmentum

Expression will have a value of 116 for the specified values of j and k.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression  -4j + 12k

where given, j = -8

and k = 7

Substituting the values in the given expression

=> -4 * -8 + 12 *7

=> 32 + 84

=> 116

Therefore, the value of expression for the given values of j and k will be 116.

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Complete question:

when j= -8 and k= 7, the value of the expression -4j + 12k is​_____.

Answer: (-2, -2)

Step-by-step explanation:

Since both equations are set equal to y,

\(2x+2=-\frac{1}{2}x-3\\\\\frac{5}{2}x=-5\\\\x=-2\\\\\implies y=2(-2)+2=-2\\\\\therefore (x,y)=(-2, -2)\)

Answer:

Step-by-step explanation:

25x2 − 40x + 16 = (5x)² - 2*5*4  + 4²      { (a - b)² = a² - 2ab + b² }

                          = (5x - 4)²                      { here a = 50 and b = 4}

Side of the square = 5x - 4 units

Part B:

25x2 − 16y2 = (5x)² - (4y)²         { a² - b² = (a + b) * (a - b) }

                    = (5x + 4y) * (5x - 4y)    { here a = 5x and b = 4y}

Dimensions of Rectangle: (5x + 4y) ; (5x - 4y)

Answer:

Step-by-step explanation:

25x²+40x+16=25x²+20x+20x+16

=5x(5x+4)+4(5x+4)

=(5x+4)(5x+4)

=(5x+4)²

length of side=5x+4

Answer:

Sure! Let’s solve this equation step by step.

(7000).03 + (x).05=830

First, we can simplify the left side of the equation:

210 + 0.05x = 830

Next, we can subtract 210 from both sides:

0.05x = 620

Finally, we can divide both sides by 0.05 to solve for x:

x = 12400

So the solution to the equation (7000).03 + (x).05=830 is x = 12400.

Greetings from Brasil

From radiciation properties:

\(\large{A^{\frac{P}{Q}}=\sqrt[Q]{A^P}}\)

bringing to our problem

\(\large{6^{\frac{1}{3}}=\sqrt[3]{6^1}}\)

The requried radical form of the given expression is ∛6.

Radical form is mathematical expression that represents the value under the nth roots.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Following the rule \(\sqrt[n]{x} = x^{1/n}\)
Similarly,
\(6^{1/3} = \sqrt[3]{6}\)

Thus, the requried radical form of the given expression is ∛6.

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Answer:

30x50

Step-by-step explanation:

Answer:

30x50

Step-by-step explanation:

30x50

The Pythagorean triples are:(0, 36, 36)Ordering these values from least to greatest, we get the answer as:(0, 36, 36)

We are given the identity:

(x² - y²)² + (2xy)² = (x² + y²)².We are to find the missing x- and y-values and Pythagorean triples by using the given identity.

To find the missing x- and y-values: We will compare this identity with the Pythagorean identity which is given as: a² + b² = c². We will assume that (x² - y²) = a² and (2xy) = b². Then we can say that (x² + y²) = c².Substituting the values in the identity: a² + b² = c²Thus, we get: (x² - y²)² + (2xy)² = (x² + y²)²a² = (x² - y²)² = x⁴ - 2x²y² + y⁴b² = (2xy)² = 4x²y²c² = (x² + y²)² = x⁴ + 2x²y² + y⁴ Substituting the values of a², b² and c², we get: x⁴ - 2x²y² + y⁴ + 4x⁴y⁴ = x⁴ + 2x²y² + y⁴

Simplifying the above equation, we get:3x⁴ - 6x²y² + 3y⁴ = 0Dividing both sides of the equation by 3, we get: x⁴ - 2x²y² + y⁴ = 0Factorising the above equation, we get:(x² - y²)² = 0On taking the square root, we get:x² - y² = 0x² = y²Thus, the missing x and y values are same. So, we can take x as any value. Let's take x = 3.Then, y = 3 as well. To find the Pythagorean triples:

We know that, a² + b² = c².So, using the values of x and y that we got, we can say that:a² = (x² - y²)² = (3² - 3²)² = 0b² = (2xy)² = (2 × 3 × 3)² = 36c² = (x² + y²)² = (3² + 3²)² = 36

Thus, the Pythagorean triples are:(0, 36, 36)Ordering these values from least to greatest, we get the answer as:(0, 36, 36)

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Answer:

likely

Step-by-step explanation:

Probability is a measure of the likelihood of an event occurring. In this case, the event is selecting a chocolate chip cookie from the batch of chocolate chip, oatmeal raisin, and sugar cookies made by the baker.

The probability of selecting a chocolate chip cookie is given as P(chocolate chip) = 0.75.

This means that out of all the cookies in the batch, 75% are chocolate chip cookies.

Since this probability is greater than 0.5 (which represents an event that is equally likely and unlikely), we can interpret it as indicating that it is likely to randomly select a chocolate chip cookie from the batch. In other words, if we were to randomly select a cookie from the batch, it is more likely that we would get a chocolate chip cookie than any other type of cookie.

Therefore, the correct answer is B) Likely.

The likelihood of randomly selecting a chocolate chip cookie is B. Likely.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

From the information, the baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 75%.

The likelihood of randomly selecting a chocolate chip cookie from the batch is 0.75. This implies that it is likely.

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40% of the students just like pop, 34% just like country, 15% like both and 11% do not like any.

Since Teresa surveyed 100 students about whether they like pop music or country music, and out of the 100 students surveyed, 40 like only pop, 34 only like country, 15 like both pop and country, and 11 do not like either pop or country, to determine the frequency of each response, the following calculation must be performed:

Therefore, 40% of the students just like pop, 34% just like country, 15% like both and 11% do not like any.

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The sum of all deviations is zero mathematically expressed as Σ(xi - μ) = 0, where Σ represents the summation symbol, xi represents individual data points, and μ represents the mean of the data set.

To understand why the sum of all deviations is zero, let's consider a data set with n data points. The deviation of each data point from the mean is given by (xi - μ), where xi represents the individual data point and μ represents the mean of the data set.

Now, if we sum up all these deviations for all data points, we get:

Σ(xi - μ) = (x1 - μ) + (x2 - μ) + ... + (xn - μ)

Expanding this expression, we get:

Σ(xi - μ) = x1 + x2 + ... + xn - nμ

Since the mean of the data set is defined as the sum of all data points divided by the total number of data points, we have:

μ = (x1 + x2 + ... + xn) / n

Substituting this back into the previous expression, we get:

Σ(xi - μ) = x1 + x2 + ... + xn - n[(x1 + x2 + ... + xn) / n]

Simplifying further, we have:

Σ(xi - μ) = x1 + x2 + ... + xn - (x1 + x2 + ... + xn)

The individual data points cancel each other out, leaving us with:

Σ(xi - μ) = 0

=

Therefore, mathematically, the sum of all deviations (Σ(xi - μ)) is equal to zero. This result holds true for any data set, demonstrating a fundamental property of the deviation from the mean.

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Many states use a sequence of three letters followed by a sequence of three digits as their standard license-plate pattern. The required answer is 5036336.

Given that each three-letter three-digit arrangement is equally likely, the probability that such a license plate will contain at least one palindrome (a three-letter arrangement or a three-digit arrangement that reads the same left-to-right as it does right-to-left) is to be found.

Let's solve it.

The total number of such arrangements is

26 * 26 * 26 * 10 * 10 * 10 = 17,576,000,

and the number of palindrome arrangements is 26 * 10 + 26 = 286.

The probability that a plate will not contain any palindromes is 17,575,714 / 17,576,000.

Thus, the probability that a plate will contain at least one palindrome is:

1 - (17,575,714 / 17,576,000) = 286 / 17,576.

Therefore, the value of mm and nn are 286 and 17,576 respectively.

To obtain the answer, we need to find their product mm * nn, which is

286 * 17,576 = 5,036,336.

Hence, the required answer is 5036336.

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The equation in standard form for the circle with diameter endpoints (1,17) and (1,-1) is (x - 1)^2 + (y - 8)^2 = 81.

To write the equation of a circle in standard form, we need to use the formula: (x - h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius.

We can use the midpoint formula to find the center of the circle, which is the midpoint of the diameter: Midpoint = ((x1 + x2)/2 , (y1 + y2)/2) Substituting the given endpoints, we get: Midpoint = ((1 + 1)/2 , (17 + (-1))/2) = (1, 8) So the center of the circle is (1,8).

Now we need to find the radius, which is half the length of the diameter: Length of diameter = sqrt((1-1)^2 + (17-(-1))^2) = sqrt(18^2) = 18 Radius = 18/2 = 9 Substituting the center and radius in the standard form equation, we get: (x - 1)^2 + (y - 8)^2 = 9^2 Simplifying, we get: (x - 1)^2 + (y - 8)^2 = 81

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Answer:

∠B = 54 °

Step-by-step explanation:

If sum of two angles add up to 180°, then the two angles are called supplementary.

   m∠A + m ∠B = 180°

7x + 7 + 4x - 14 = 180

7x + 4x + 7 - 14 = 180

        11x  - 7       = 180

                    11x = 180 + 7

                     11x = 187

                        x = 187 ÷ 11

                       \(\sf \boxed{x = 17^\circ}\)

m∠B = 4x - 14

        = 4*17 - 14

         = 68 - 14

\(\sf \boxed{\bf \angle B = 54^\circ}\)

Answer:

(x+2)^2 - 6

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

Using the formula of volume of rectangular prism;

1. The volume of the rectangular prism is 3672cm³

2. The volume of the rectangular prism is 630in³

3. The volume of the rectangular prism is  3744ft³

The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:

Volume = length × width × height

V = l × w × h

By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.

1. To find the volume of the rectangular prism, we have to substitute the value into the formula;

v = 9 * 24 * 17

v = 3672cm³

2. The volume of the rectangular prism is given as;

v = 4.5 * 14 * 10

v = 630in³

3. The volume of the rectangular prism is given as;

v = 8 * 12 * 39

v = 3744ft³

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Answer:

\( \sqrt{30} \)

Answer:

It’s domain

y>0

x>0

(so basically d)

Step-by-step explanation:

I got it right on a test

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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To determine whether or not to play this game, the following steps are necessary:

Step 1: Draw up a table that shows the sum of the outcomes when the two cubes are tossed together, as follows:

The table above shows that there are a total of 36 outcomes when the two cubes are tossed together, and shows the sum of the values on the faces of the cubes for each outcome.

Step 2: Use the values in the table to find the probabiity of obtaining a sum greater than or equal to 8, and the probability of obtaining a sum less than 8, as below:

Also:

Step 3: Compute the expectation, using the probabilities and the tokens to be won or lost, as follows:

Now, since the total expectation is -5 tokens, it means that 5 tokens will be lost at the end of this game. Now, would you play a game where you get to lose? Certainly not.

The answer is that you should not play this game

Answer:  x < 4 and x > -4

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

Work Shown:

-2 | x | > -8

| x | < -8/(-2)

| x | < 4

-4 < x < 4

-4 < x and x < 4

x < 4 and x < -4

x < 4 and x > -4

Side note: the inequality sign flips in the 2nd step because we divided both sides by a negative number. Also, I used the rule that \(| x | < k\) leads to\(-k < x < k\) only when k is positive.

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

  0

Step-by-step explanation:

Apparently, you want the value of ...

  \(\dfrac{1}{3}m-1-\dfrac{1}{2}n = \dfrac{m}{3}-\dfrac{n}{2}-1\\\\=\dfrac{21}{3}-\dfrac{12}{2}-1=7-6-1\\\\=\boxed{0}\)

The value of the given expression for the given variable values is zero.

All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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The next three terms of the sequence will be 4,10,16.

What is a sequence?

A sequence is a list of numbers (or elements) that exhibits a particular pattern. For example, Olivia has been offered a job with a starting monthly salary of $1000 with an annual increment of $500. Can you calculate her monthly salary in the first three years? It will be $1000, $1500, and $2000. Observe that Olivia's salary over a number of years forms a sequence as they follow a pattern where the numbers are increasing by an amount of $500 every time.

Some of the most common examples of sequence are:

Arithmetic Sequences

A sequence in which every term is created by adding or subtracting a definite number from the preceding number is an arithmetic sequence.

Geometric Sequences

A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.

Harmonic Sequences

A series of numbers is said to be in harmonic sequence if the reciprocals of all the elements of the sequence form an arithmetic sequence.

Fibonacci Numbers

Fibonacci numbers form an interesting sequence of numbers in which each element is obtained by adding two preceding elements and the sequence starts with 0 and 1. Sequence is defined as, F0 = 0 and F1 = 1 and Fₙ = Fn-1 + Fn-2

Now,

Given first term=-2

difference is =6

Therefore,

               The next three terms of arithmetic sequence will be -2+6,-2+6+6,-2+6+6+6  i.e. 4,10,16.

Hence,

          The next three terms of the sequence will be 4,10,16.

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Answer:

x=8 is true for the this condition

Step-by-step explanation:

4x<34

if x=8

4*8<34

32<34

which is true

if x=10

40 is not greater than 34, so it not satisfied the condition

Answer:

\(SE_{\bar x} = 0.311\)

Step-by-step explanation:

Given

\(n=5\)

\(\bar x = 41\%\)

\(\sigma^2= 48.5\%\) --- variance

Required

The standard error of the sample mean

This is calculated as:

\(SE_{\bar x} = \frac{\sigma}{\sqrt n}\)

This can be rewritten as:

\(SE_{\bar x} = \frac{\sqrt{\sigma^2}}{\sqrt n}\)

So, we have:

\(SE_{\bar x} = \frac{\sqrt{48.5\%}}{\sqrt 5}\)

Rewrite as:

\(SE_{\bar x} = \sqrt{\frac{48.5\%}{5}}\)

\(SE_{\bar x} = \sqrt{0.097}\)

\(SE_{\bar x} = 0.311\)

33,868,800 ways can five men and eight women are seated at a round table if no two men sit together.

No of men = 5

No of women = 8

The total no. of circular permutations or ways to be seated 8 women at a time is (8-1)! =7!

In 8 gaps 5 men can be arranged in 8\(p_{5}\) ways i.e. 8! / (8-5)! =8! /3!

Total no. of ways = 7! × 8! /3! =5040×\(\frac{40320}{6}\) =33,868,800 ways.

A permutation is an act of arranging objects or numbers in order. combos are the manner of choosing objects or numbers from a group of items or collections, in one way that the order of the items does not matter. A permutation is a technique of arranging all the participants in the order. The mixture is an expansion of factors from a collection.

permutation relates to the act of arranging all of the members of a hard and fast into a few series or orders. In different words, if the set is already ordered, then the rearranging of its factors is known as the technique of permuting. The mixture is a way of selecting gadgets from a collection, such that (not like variations) the order of selection does not remember. A permutation is used for the listing of facts (in which the order of the information matters) and the aggregate is used for a set of facts (wherein the order of records doesn’t count).

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