A rectangle has a perimeter of 6x^3+ 9x^2 - 10x + 5 and a length of x. Find the width of the rectangle when
the length is 21 inches.

Mr. Garcia's classroom had 23 students.

Let's denote the number of students in Mr. Cooper's classroom as C and the number of students in Mr. Garcia's classroom as G.

Given that Mr. Cooper's classroom had 5 tables with 4 students at each table, we can write:

C = 5 * 4 = 20

It is also given that Mr. Garcia's classroom had 3 more students than Mr. Cooper's classroom, so we can write:

G = C + 3

Substituting the value of C from the first equation into the second equation, we get:

G = 20 + 3 = 23

Therefore, Mr. Garcia's classroom had 23 students.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ4

It will take the ferris wheel 5 seconds to make one revolution.

To determine how long it will take for the ferris wheel to make one revolution, we need to find the time it takes for d to return to its initial value.

Assuming that the ferris wheel starts at the lowest point, we know that the distance above the ground is 0 feet when t = 0. We can set the equation equal to 0 and solve for t as follows:

d = 50 sin(π/10 t) + 50

0 = 50 sin(π/10 t) + 50

sin(π/10 t) = -1

π/10 t = -π/2

t = -5 seconds

Since we are looking for the time it takes for d to return to its initial value, we can ignore the negative sign and take the absolute value of t, giving us the final answer of 5 seconds.



To find the time it takes for the ferris wheel to make one revolution, we need to determine the time it takes for the distance above the ground to return to its initial value. Assuming the ferris wheel starts at the lowest point, we can set the equation equal to 0 and solve for t. We get a negative value of t, but we can ignore the negative sign and take the absolute value of t, which gives us the final answer of 5 seconds.


It will take the ferris wheel 5 seconds to make one revolution.

To know more about time visit:

brainly.com/question/26941752

#SPJ11

The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.

First, let's sort the data in ascending order:

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Next, we calculate the number of values to trim from each end:

10% of 15 (total number of values) = 0.1 * 15 = 1.5

Since we can't remove half a value, we round up to the nearest whole number, which is 2.

Now, we remove the two lowest and two highest values:

0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26

Finally, we calculate the mean of the remaining values:

(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027

Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.

To know more about statistics refer here;

https://brainly.com/question/32201536?#

#SPJ11

Answer:

2x^4y²

Step-by-step explanation:

12/6 = 2

x^7/x^3=x^4

y^3/y=y^2

put those together and you get

2x^4y²

When dividing with indices you subtract the indices. X³÷X²=X

When multiplying with indices, you add the indices. X³×X²=X^5

In the given scenario, the inhabitants of Life is Good island produce both wheat and poultry. The table provides the maximum annual output combinations of wheat and poultry that can be produced, based on the available resources and technology.

To determine the opportunity cost of increasing the annual output of wheat, we compare the quantity of poultry given up in each scenario. Specifically, we calculate the difference in poultry quantity between two output levels of wheat: from 900 to 1100 pounds, and from 200 to 400 pounds.

To calculate the opportunity cost of increasing the annual output of wheat from 900 to 1100 pounds, we need to compare the corresponding quantities of poultry. From the table, we can see that the quantity of poultry decreases from 450 pounds to 300 pounds when wheat production increases from 900 to 1100 pounds. Therefore, the opportunity cost of this increase in wheat output is 150 pounds of poultry (450 - 300).

Similarly, to calculate the opportunity cost of increasing the annual output of wheat from 200 to 400 pounds, we compare the quantities of poultry. The table shows that the poultry quantity decreases from 775 pounds to 725 pounds when wheat production increases from 200 to 400 pounds. Hence, the opportunity cost of this increase in wheat output is 50 pounds of poultry (775 - 725).

In both cases, the opportunity cost is determined by the reduction in poultry quantity resulting from an increase in wheat production.

To learn more about inhabitants: -brainly.com/question/28757670

#SPJ11

Answer:

I do not understand thank you for asking

Step-by-step explanation:

thank you

Answer:

B (2,22)

Step-by-step explanation:

Answer:

26.75 unit^2 to the nearest hundredth.

Step-by-step explanation:

Integrating between the 2 limits:

            2                            2

Area =   ∫    e^2x dx     =   [   1/2 e^2x ]

            0                            0

= 1/2( e^4 - e^0]

= 1/2(54.598 - 1)

= 26.749

Answer:

b

Step-by-step explanation:

Answer:

200 students vote in the election

Step-by-step explanation:

We know

120 votes = 60%

1% = 2 votes

To find how many students vote in the election, we take

2 x 100 = 200 votes

So, 200 students vote in the election

Answer:

256.700 grams

Step-by-step explanation

the immediate number after the decimal is at the tenth position.

so, we will round off 6 by looking at the number next to it:

as the number next to it is greater than 5 so 1 will be added to the number in tenth position for rounding.

thus, the mass of his magazine rounded to the nearest tenth is,

256.700 grams

E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

To know more about main point, visit:

https://brainly.com/question/31850026

#SPJ11

The correct option is Option D) The consistency with which several individuals can complete the questionnaire without making an error is one technique to determine a questionnaire validity.

A questionnaire is a sort of research tool used to collect data from respondents for a survey or statistical analysis. It consists of a collection of questions (or other forms of prompts). Typically, a research questionnaire will have both closed-ended and open-ended questions. Long-term, open-ended inquiries provide the respondent the chance to go into more detail. The Statistical Society of London created the research questionnaire in 1838. Despite the fact that surveys are frequently created so that the answers may be statistically analyzed. Consequently, it may not be practical to conduct a survey using a questionnaire for some demographic groups.

Learn more about questionnaire.

brainly.com/question/22889092

#SPJ4

The example that illustrates the difference between statistical significance and practial significance is

In a survey arranged by school-authority of a district on participation in sports by school-going boys and girls, it is found that 60% of boys and 57% of girls participate in outdoor sports. Thus the survey shows a 3% difference between school-going boy-participants and girl-participants in outdoor sports. Now the point is how much significance this 3% difference has statistically as well as practically. Statistical significance of this 3% depends upon the size of data used in determining the percentage of boys and girls participate in sports. If a sufficiently big sample size is used then the difference is statistically significant, and if a very small sample size is used then the difference is statistically insignificant. Thus bigger the sample size more is the statistical significance of a computed figure.

On the other hand practical significance of this 3% difference arises if decision is made or action is taken or needs to be taken on the basis of this 3% difference. If cost permits, the authority may consider promoting girl students participation in sports in order to bring about more gender parity in outdoor sports. In this case the 3% difference though small, may be practically significant.

Statistical significance is a measure of whether your research findings are meaningful. It is concerned with whether a research result is due to chance or sampling variability. Where, practical significance is concerened with wheteher the result is useful in the real world.

Therefore, the example that illustrates the difference between statistical significance and practial significance is

In a survey arranged by school-authority of a district on participation in sports by school-going boys and girls, it is found that 60% of boys and 57% of girls participate in outdoor sports. Thus the survey shows a 3% difference between school-going boy-participants and girl-participants in outdoor sports. Now the point is how much significance this 3% difference has statistically as well as practically. Statistical significance of this 3% depends upon the size of data used in determining the percentage of boys and girls participate in sports. If a sufficiently big sample size is used then the difference is statistically significant, and if a very small sample size is used then the difference is statistically insignificant. Thus bigger the sample size more is the statistical significance of a computed figure.

On the other hand practical significance of this 3% difference arises if decision is made or action is taken or needs to be taken on the basis of this 3% difference. If cost permits, the authority may consider promoting girl students participation in sports in order to bring about more gender parity in outdoor sports. In this case the 3% difference though small, may be practically significant.

Find out more information about statistical significance and practical signifincance here:

https://brainly.com/question/8362659

#SPJ4

The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

To learn more about surface area of pyramid click :

https://brainly.com/question/15050758

#SPJ1

Based on the information, it can be inferred that the volume of the figure is 6,786 ft³.

To calculate the volume of the figure we must perform the following procedure:

Find the volume of the lower part, the cubic part. For this we must multiply all the sides as shown below:

Then we must calculate the volume of the upper part, for this we must perform the following procedure:

we calculate as if it were a completely square or cubic figure and then we divide it in two.

Finally we must add both values to find the total volume

Learn more about volume in: https://brainly.com/question/1578538

#SPJ1

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

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

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

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

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

To know more about the probability visit:

https://brainly.com/question/31321667

Step-by-step explanation:

3)  7 - 5t = 17

-7          -7

-5t  =  10

Divide -5 and 10 by -5

t = -2

5) idk whats the equation for 5

9)

  a. You would need to buy 20 songs plus the 10 dollar fee which would equal the other apps fee, 30 dollars.

  b. I would buy the first one because 25 dollars for the music and the fee. But if I got the second app I would be paying 5 dollar extra .

This is a 45°-45°-90° triangle, in which the sides occur in a ratio of 1 to 1 to √2. So x = √2.

If you didn't already know that, you can trigonometry. By definition of cosine,

cos(45°) = 1/x

Then

x = 1/cos(45°) = 1/(1/√2)) = √2

Hope this is straightforward.

Answer:

Option (B)

Step-by-step explanation:

From the property of a triangle,

Sum of all interior angles of the triangle is 180°

By applying this property in the given triangle IHK,

m∠HIK + m∠IKH + m∠KHI = 180°

m∠HIK + 35° + 35° = 180°

m∠HIK = 180° - 70°

            = 110°

Therefore, measure of the unknown angle of the given triangle is 110°.

Option (B) will be the answer.

Answer:

As eudora states: B).110 is the correct answer.

Answer:

( 8 , 6 )

Step-by-step explanation:

A = ( 2 , 2 ) and C = ( 5 , 4 )

→ Form an equation

\(\frac{2+x}{2} =5\)   and   \(\frac{2+y}{2}=4\)

→ Now solve them

2 + x = 10 and 2 + y = 6

→ Simply find the values

x = 8 and y = 6

SOLUTION :

\( \large{ \rightarrow{ \tt{ \: (5 \: ,4 \: ) = ( \frac{2 + x}{2} \: , \frac{2 + y}{2} )}}}\)

\( \large{ \tt{5 = \frac{2 + x}{2} }}\)

\( \large{ \rightarrow{ \tt{10 = 2 + x}}}\)

\( \large{ \rightarrow{\tt{10 - 2 = x}}}\)

\( \boxed{ \large{ \rightarrow \tt{x = 8}}}\)

\( \large{ { \tt{4 = \frac{2 + y}{2} }}}\)

\( \large{ \rightarrow{ \tt{8 = 2 + y}}}\)

\( \large{ \rightarrow{ \tt{8 - 2 = y}}}\)

\( \boxed{ \large{ \rightarrow{ \tt{y = 6}}}}\)

\( \large{ \boxed{ \tt{OUR \: FINAL \: ANSWER : \: D. \: (8 \:, 6 \: ) }}}\)

:) Hope I helped! Let me know if you have any questions regarding my answer! ~

Answer:

Line kinda flat, going up (from left to right) goes right through the 3 on the y-axis. Through the points (0,3) and (5,5) The third image.

Step-by-step explanation:

The slope of 2/5 means go UP2 and OVER5. Only one graph has a line the goes UP2 and OVER5.

One line actually goes down (from left to right), that has a negative slope. So that's not it.

The first image is positive slope, but if you look at the two points, you go UP5 and OVER2 so that is wrong also. That is the slope 5/2.

The last image has slope 2/7, bc you go UP2 OVER7 to get from one point to the next. It is wrong also.

Only the third image, Line kinda flat, going up (from left to right) goes right through the 3 on the y-axis. Through the points (0,3) and (5,5) has a slope of 2/5

True.

A system of equations is a set of two or more equations that are to be solved simultaneously.

A system of equations is a set of two or more equations that are to be solved simultaneously. In linear algebra, a system of equations is typically represented as a set of linear equations in the form:

a11x1 + a12x2 + ... + a1nxn = b1
a21x1 + a22x2 + ... + a2nxn = b2
...
am1x1 + am2x2 + ... + amnxn = bm

where the variables x1, x2, ..., xn are the unknowns, the coefficients aij and the constants bi are given, and the goal is to find a solution vector (x1, x2, ..., xn) that satisfies all the equations in the system.

Visit to know more about Equations:-

brainly.com/question/2972832

#SPJ11

The expected value of the envelope is less than 100,000, Margaret should reject the offer and keep her envelope.

To determine whether Margaret should accept the offer of $X for her envelope, we need to compare the expected value of the envelope to the amount offered. Given that the envelope contains either $81,000 or $40 with equal probability, the expected value of the envelope is calculated as follows:
Expected value = (probability of $81,000) * $81,000 + (probability of $40) * $40
Expected value = (1/2) * $81,000 + (1/2) * $40
Expected value = $40,520 + $20
Expected value = $40,540

According to Margaret's utility function, v(m) = m, she values money linearly. Therefore, for her to accept the offer of $X for her envelope, X should be at least equal to the expected value of the envelope. In this case, X should be at least $40,540.

To know more about the expected value, visit:

https://brainly.com/question/13749480

#SPJ11

We are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

In the given scenario:

The boldface number "12.2" represents a statistic.

The boldface number "15.1" represents a statistic.

A statistic is a numerical value that summarizes a sample of data, while a parameter is a numerical value that summarizes a population.

In this case, we are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

Learn more about average gain from

https://brainly.com/question/26215194

#SPJ11

Answer:

113

Step-by-step explanation:

Answer:

543 -5

Step-by-step explanation:

hope this helped i need some friends i get reported for asking people if they can be my friend so please mark me brainleist and be my friend

In order to solve a problem that begins with a negative number and is divided by a positive number, the answer must also be negative.

Divide 21 ÷ 7

we get = 3

Mark it as negative number = -3

Hope this helps :)

Answer:

B) t can be any whole number where 0 ≤ t < 75.

Step-by-step explanation:

Edge