answer and solution in 2xy-5yz-4x+10z

Charlie

Here, we want to check if polynomials is closed under subtraction or not

To check this, we proceed either ways, if the answer is same, then it is closed. If otherwise, then it is not

We have;

As we can see, both results are not equal

If subtraction was closed under polynomials, then the results of both should have been equal. This means Charlie is correct.

Answer:

(x + 1(x + 2)(x + 7).

Step-by-step explanation:

f(x) =  x^3+10x^2+23x+14

Let x = -1, then:

f(-1) =  (-1)^3+10(-1)^2+23(-1)x+14

     =  -1 + 10 - 23 + 13

     = -14 + 14

      = 0

So one zero is x = -1 and (x + 1) is one factor of f(x)   ( by The Factor Theorem).

Dividing:

x + 1) x^3 + 10x^2 + 23x + 14 ( x^2 + 9x + 14  <------- Quotient

        x^3 +  x^2

                   9x^2 + 23x

                   9x^2  + 9x

                               14x + 14

                               14x + 14

                                . . . . . .

Now x^2 + 9x + 14

        =   (x + 2)(x + 7)

So the factors are:

(x + 1(x + 2)(x + 7)

According to the information, the group of people over 60 who use the camping is 28.1% (option C).

To find the percentage that corresponds to the group of people over 60 years of age who used the park camping, we must consider the total number of people 60 years of age or older who were included in the survey. In this case we can infer that there were 21,000 people. On the other hand, the group that used the camping was 5,900. So the percentage would be:

Based on the above, we can infer that the correct answer is B.

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Round 14One-ninth to 14

Round 5.89 to 6

Now subtract: 14-6 = 8

The answer is 8

ABC needs money to buy a new car.

a) ABC can borrow approximately $20500.99 from his friend initially

b) Assuming a payment growth rate of 0.75, ABC can borrow approximately $50139.09

a) To calculate how much ABC can borrow from his friend initially, we can use the present value formula for an annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r]

Where PV is the present value, PMT is the annual payment, r is the interest rate, and n is the number of years.

In this case, ABC will make annual payments of $5000 in the first year and $8000 for the next four years, with a 7% compounded interest rate.

Calculating the present value:

PV = 5000 * [(1 - (1 + 0.07)^(-5)) / 0.07]

PV ≈ $20500.99

Therefore, ABC can borrow approximately $20500.99 from his friend initially.

b) If ABC's salary is estimated to increase at a rate of 0.75, we need to adjust the annual payments accordingly. The new payment schedule will be $5000 in the first year, $5000 * 1.75 in the second year, $5000 * (1.75)^2 in the third year, and so on.

Using the adjusted payment schedule, we can calculate the present value:

PV = 5000 * [(1 - (1 + 0.07)^(-5)) / 0.07] + (5000 * 1.75) * [(1 - (1 + 0.07)^(-4)) / 0.07]

PV ≈ $50139.09

Therefore, ABC can borrow approximately $50139.09 from his friend initially, considering the estimated salary increase.

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The probability of having 8 or 9 successes is 14.92%.

To solve this problem, we need to use the binomial probability formula, which is:
\(P(X=k) = (n choose k) (p)^{k} (1-p)^{(n-k)}\)

where:
- P(X=k) is the probability of getting k successes in n trials
- n is the total number of trials
- k is the number of successes
- p is the probability of success on each trial
- (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials

In this case, n = 10, p = 0.3, and we want to find the probability of having 8 or 9 successes. So we need to calculate:
P(X=8) + P(X=9)

Using the binomial probability formula, we get:

\(P(X=8) = (10 choose 8)  (0.3)^8 (0.7)^2 = 0.12093\)
\(P(X=9) = (10 choose 9) (0.3)^9 ( 0.7)^1 = 0.02825\)

Therefore, the probability of having 8 or 9 successes is:
P(X=8) + P(X=9) = 0.12093 + 0.02825 = 0.14918

So the answer is 0.14918 or approximately 14.92%.

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Answer:

3×1/6 =1/2 is the answers for the question

Step-by-step explanation:

please give me brainlest

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Answer:

See below

Step-by-step explanation:

\(f(x)=|x-2|\\f'(x)=\frac{x-2}{|x-2|}\\f'(2)=\frac{2-2}{|2-2|}=\frac{0}{0}\)

So, the function is not differentiable at x=2.

Answer:

Looking at the first question, it's asking what best describes the probability of tossing a number less than 6 on a number cube that has 6 numbers.  Impossible means that it will never land on it, for example asking what the probability of landing on 7 is.  Unlikely is something that doesn't happen often.  The best option that fits our scenario is option C, likely.

Looking at the second question, it's asking what the probability that the teacher chooses a girl in his class.  There are 15 girls and a total of 27 students in the class so we take the probability by doing 15/27.  We can narrow both the numerator and the denominator using 3 which gives us 5/9.  Therefore, the best option that fits our scenario is option C, 5/9.

Finally, looking at the last question, it's asking what the theoretical probability that the coin will land on heads on the next toss.  Theoretical probability doesn't consider how much times Murray tossed the coin, the only thing it cares about is what the actual probability of tossing a coin is.  Therefore that makes it a 50% chance of landing on a heads and a 50% chance of landing on a tails.  The best option that first our scenario is option B, 1/2.

Hope this helps!  Let me know if you have any questions

Which describes the probability of tossing a number less than 6 on a number cube with faces labeled 1-6?

Answer:

[C] Likely

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There are 12 boys and 15 girls in Mr. Fraioli's math class. He will randomly call on one person to answer the problem of the day. What is the probability that he will choose a girl.

Answer:

[C] 5/9

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Murray has tossed a coin 120 times.The coin landed on heads 54 times. What is the theoretical probability that the coin will land on heads on the next toss?

Answer:

[B] 1/2

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Step-by-step explanation:

Note:

Impossible ⇒ 0%

Unlikely ⇒ 25%

Equally likely as not ⇒ 50%

Likely ⇒ 75%

Certain ⇒ 100%

Which describes the probability of tossing a number less than 6 on a number cube with faces labeled 1-6?

Knowing that a number less than 6 can be:

1,2,3,4,5

Hence, 5/6 which is 0.83333333333 which is likely

Thus, the answer is [C] Likely

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There are 12 boys and 15 girls in Mr. Fraioli's math class. He will randomly call on one person to answer the problem of the day. What is the probability that he will choose a girl.

Total number of people is 12+15 = 27

15 out of 27 are girls thus, 15/27

Simplify

5/9

Hence, the answer is [C] 5/9

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Murray has tossed a coin 120 times.The coin landed on heads 54 times. What is the theoretical probability that the coin will land on heads on the next toss?

Since, the total number of tossed is 120 times

handed on heads - 54 times.

  Theoretical probability is what should happen.

 Experiment probability is what happen

Knowing that a coin has 2 sides:

Heads and Tails.

Hence, that makes it a 50% chance of landing on a heads and a 50% chance of landing on a tails.

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Kavinsky

Answer: y = (5)(2)x-10

Step-by-step explanation:

Multiplicative inverse of 4 doesn't exist in modulo 30, 32, 33, and 34. It exists in modulo 31 and 35.

For a number to have a multiplicative inverse in modulo n, it must be relatively prime to n. Now let's find the multiplicative inverse of 4 modulo 30, 31, 32, 33, 34, and 35. In modulo 30, GCD(4, 30) = 2. Hence, 4 does not have a multiplicative inverse in modulo 30. In modulo 31, 4 and 31 are relatively prime. Therefore, the multiplicative inverse of 4 in modulo 31 is 8. Hence, 4 * 8 = 1 (mod 31). In modulo 32, GCD(4, 32) = 4. Therefore, 4 does not have a multiplicative inverse in modulo 32.

In modulo 33, GCD(4, 33) = 1. However, 33 is not a prime number. Therefore, it is not relatively prime to 4, and 4 does not have a multiplicative inverse in modulo 33.In modulo 34, GCD(4, 34) = 2. Hence, 4 does not have a multiplicative inverse in modulo 34.

In modulo 35, 4 and 35 are relatively prime. Therefore, the multiplicative inverse of 4 in modulo 35 is 9. Hence, 4 * 9 = 1 (mod 35). Therefore, we can conclude that the multiplicative inverse of 4 exists in modulo 31 and 35, and does not exist in modulo 30, 32, 33, and 34.

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10.Let's solve for f.

gx=fx−4

Step 1: Flip the equation.

fx−4=gx

Step 2: Add 4 to both sides.

fx−4+4=gx+4

fx=gx+4

Step 3: Divide both sides by x.

fx/x=gx+4/x

The correct answer would be f= gx+4/x

11. Let's solve for f.

hx=12fx+2

Step 1: Flip the equation.

12fx+2=hx

Step 2: Add -2 to both sides.

12fx+2+−2=hx+−2

12fx=hx−2

Step 3: Divide both sides by 12x.

12fx/12x = hx-2/12x

The correct answer would be F= hx-2/12x

12.  Let's solve for f.

kx=(−2f)(−x)

Step 1: Flip the equation.

2fx=kx

Step 2: Divide both sides by 2x

2fx/2x= kx/2x

The correct answer would be F= k/2

Side note: "/" is supposed to represent division and fractions

Answer:

10. f(x) was translated 4 units down

11. f(x) is stretched vertically by a factor of 12 and translated 2 units up

12. f(x) is stretched vertically by a factor of 2, reflected vertically along the x-axis, and reflected horizontally along the y-axis

Step-by-step explanation:

you have to explain what happened to f(x)

start by following the process SRT (stretch, reflection translation) for SR y then x transformations and for T x translation then y translation

according to the question

given data in the question,

the type of sample-

random stratified sampling

The usage of satisfied sampling may be required for a variety of distinct features.

The population is first split into two or more strata or subgroups in this kind of random sampling. Beginning with the sampling procedure, each unit is assigned to one stratum based on the unit's historical performance. Following that, separate random samples are chosen using a basic random sampling technique from each stratum, which contains a percentage of the population. that is, they are both mutually and jointly exhaustive.

The traits that we are evaluating are distinct from those of members of another stratum and similar to those of the sample unit stratum.

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the type of sample that proportionately reflects the relevant diversity of opinions in the population from which it is drawn is random stratified sampling

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

The sample size in statistics is a measurement of the total number of samples utilized in an experiment. The sample size is 50, for instance, if we are evaluating 50 samples of city dwellers who watch TV. It's also known as sample statistics.

Considering the query

the information in the query

a sample's type-

stratified sampling at random

For a number of unique traits, satisfied sampling may be necessary.

In this type of random sampling, the population is initially divided into two or more strata or subgroups. Each unit is categorized into a stratum at the start of the sampling process depending on its prior performance. A basic random sampling approach is then used to select distinct random samples from each stratum, which represents a portion of the population. they are mutually and jointly exhaustive, in other words.

The characteristics that we are examining are different from those of members of one stratum and comparable to those of the stratum that contains the sample unit.

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Answer:

1) The value of \(x\) is 12.

2) The length of the diagonal is 49.

Step-by-step explanation:

1) If the glass is a rectangle, then both diagonal must have the same length, that is, the following equation must be solved:

\(5\cdot x - 11 = 2\cdot x + 25\) (1)

We need some algebraic handling to determine the value of \(x\):

\(5\cdot x - 11 = 2\cdot x + 25\)

\(5\cdot x - 2\cdot x = 25 +11\)

\([5+(-2)] \cdot x = 36\)

\(3\cdot x = 36\)

\(x = 12\)

The value of \(x\) is 12.

2) If we know that \(x = 12\), then the length of the diagonal (\(d\)) is:

\(d = 2\cdot x + 25\)

\(d = 49\)

The length of the diagonal is 49.

Answer:

C.

24 daisies

Step-by-step explanation:

The slope of line is -1

Take a look at the grid and the line.

Or you can use rise/run

(3,1) and (2,2) which is part of the graph.

\(m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{2 - 1}{2 - 3} \\ m = \frac{1}{ - 1} \\m = - 1\)

For the measures of these angles to be integral, (n-2) times 180 must be divisible by n.

An n-sided regular polygon has interior angles that measure (n-2) times 180 degrees divided by n. This means that n must be a divisor of (n-2) times 180, or that n must be a divisor of 180. The only positive integers that divide 180 are 1, 2, 3, 4, 5, 6, 9, 10, 15, 18, 30, and 180.

So the only values of n for which an n-sided regular polygon has interior angles with integral measures are 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, and 20.

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To analyze the variables Birth Rate and Death Rate at the same time the scatter plot would be appropriate to use.

A scatter chart, also called as a scatter plot, is a graph that displays the correlation between two variables. They are a very effective type of chart because they enable viewers to see relationships or trends that would be nearly impossible to see in any other form right away.

Modern scatter charts are based on René Descartes' 17th-century cartesian coordinates system, albeit their exact origins are unknown. The majority of scatter plots used in science journals and publications may be found there.

One of the most adaptable and practical inventions in the history of statistical graphs is the scatter chart. This can seem like a bold statement, but scatter charts help make sense of muddled data. They are a tool for discovery as well as visualisation, which is a much bigger role for them.

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Answer:

pretty sure commutative property lol

Step-by-step explanation:

Answer:i believe it is 5.7

Step-by-step explanation:

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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Answer:

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

Given similar triangles in both questions.

Corresponding sides have same ratio.

Answer:

I think it is a binomial

Step-by-step explanation:

trinomial-three terms

Monomial-1 term

Binomial-2 terms

Answer:

it is C

Step-by-step explanation:

that is the answer because

Three expression are there which makes it a trinomial

also because

Trinomial: An algebraic expression of three non-zero terms only is called a trinomial. Examples of trinomial: x + y + z is a trinomial in three variables x, y and z. 2a2 + 5a + 7 is a trinomial in one variables a.

Answer: It's in the screenshot

Step-by-step explanation:

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.

The other parameters are given as follows:

\(\overline{x} = 505, s = 6, n = 9\)

Hence:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 505 - 2.306\frac{6}{\sqrt{9}} = 500.39\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 505 + 2.306\frac{6}{\sqrt{9}} = 509.61\)

The 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).

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IT is found that the value of x is 4 and value of y is 5.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given system of equations are

2x-6y=22

-5x+y=1

The matrix form is

\(\left[\begin{array}{ccc}2&-6\\-5&1\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}22\\1\end{array}\right]\)

Let as assume

\(A = \left[\begin{array}{ccc}2&-6\\-5&1\end{array}\right]\\ \\X = \left[\begin{array}{ccc}x\\y\end{array}\right] \\B = \left[\begin{array}{ccc}22\\1\end{array}\right]\)

WE know that AX = B

Then we have;

\(\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}4\\5\end{array}\right]\)

Therefore, the value of x is 4 and value of y is 5.

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Answer:

Measure of each angle = 36°

Step-by-step explanation:

\((2x - 30) \degree = (x + 3) \degree \\ (alternate \: \angle \: s) \\ \\ 2x - 30 = x + 3 \\ \\ 2x - x = 30 + 3 \\ \\ x = 33 \\ \\ (2x - 30) \degree \\ = (2 \times 33 - 30)\degree \\ = (66 - 30)\degree \\ = 36 \degree \\ \\ (x + 3) \degree \\ = (33 + 3) \degree \\ = 36\degree\)

The value of x will be equal to 33.

According to the alternate exterior angle theorem, the exterior angles created on either side of a transversal when two parallel lines intersect are equal. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given angles (2x - 30)°  and (x+3)° are alternate exterior angles so these two angles will be equal to equal to each other.

(2x - 30)° = (x+3)°

Separate all the like terms and calculate the value of x:-

(2x - 30)° = (x+3)°

2x - x = 33 + 3

x = 33

Therefore, the value of x will be equal to 33.

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