2³ =
what does it equal?

Answer:

√3/2 or 0.886025

Step-by-step explanation:

Answer:

use calculator soup bro

Step-by-step explanation:

finds a great explanation! :P

The type of sample obtained is B) Stratified. In a stratified sample, the population is divided into distinct groups or strata based on certain characteristics, and then a random sample is taken from each stratum.

In this case, the registrar has selected 1st year and 4th year students, representing two different levels of seniority, as the sample. This indicates that the population has been divided into strata based on the level of seniority of the students.

By randomly selecting students from each stratum, the registrar ensures that the sample represents the different levels of seniority in the university. This allows for a more representative and accurate estimation of the proportion of all students who are dissatisfied with the online registration procedure. Therefore, the type of sample obtained in this scenario is a stratified sample.

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What shape lol? Gotta snag those points ;)

Answer:

(0,0) and (6,12)

Step-by-step explanation:

8x - x^2 = 2x

8x -2x -x^2 =0

6x -x^2 = 0 then factor out a common x

x (6-x) = 0

so x =0 or 6-x=o

x=6

so if x=o y=2x=2(0)=0

and if x=6 y =2x =2(6)= 12

Answer:

A) A tax form given to me by my employer each tax year to show my earnings and taxes withheld.

1 can only be divided by one other integer except1, hence it is not a prime number.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.

Based on the explanation above, we can then conclude that 1 is not a prime number.

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Answer:

I can't really give an answer but I can describe how to get the answer

Step-by-step explanation:

First, we need the corrdinates of Point P which should be an answer of (x,y). After we got the coordinates, move 10 lines towards the left and replace the x with the number you have gotten by doing that and then you should get your answer (hopefully)

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.875/100

r = 0.03875 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.03875/12)(12)(7.5)

A = 10,000.00(1 + 0.003229167)(90)

A = $13,366.37

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 3.875% per year compounded 12 times per year over 7.5 years is $13,366.37.

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$149000\\ P=\textit{original amount deposited}\dotfill & \$9800\\ r=rate\to 11.6\%\to \frac{11.6}{100}\dotfill &0.116\\ t=years \end{cases} \\\\\\ 149000=9800e^{0.116\cdot t}\implies \cfrac{149000}{9800}=e^{0.116\cdot t}\implies \cfrac{745}{49}=e^{0.116t}\)

\(\log_e\left( \cfrac{745}{49} \right)=\log_e\left( e^{0.116t} \right)\implies \log_e\left( \cfrac{745}{49} \right)=0.116t \\\\\\ \cfrac{\ln\left( \frac{745}{49} \right)}{0.116}=t\implies 23.46\approx t\)

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Answer:

1.5

Step-by-step explanation:

Please correct me if I'm wrong. :)

Answer:

(just took the test)

Answers for entire quiz on EDGE for "Writing Linear Equations":

C. y = 1/4x+2

A. y=12x+8

C. y=x+2

B. c(x) = 6x + 3

A. k – 2 = 1/9(t – 18)

A. y=-5/8x+6

C. 5

A. y = x + 3

C. 2x + 5y = –15

B. y + 13 = 5(x + 2)

hope this helps y'all!

The correct option is (3) \(y = \frac{1}{4} x + 2\)

The equation of a line that passes through points (8, 4) and (0, 2) is .

The equation of the line in Slope-Intercept form is:

                     y = mx + b            ( m - slope)

The equation of the line slope intercept is-

               \(y - 4 = \frac{1}{4} ( x -8)\\y - 4 = \frac{1}{4} x - \frac{8}{4} \\y - 4 = \frac{1}{4} x - 2\\y = \frac{1}{4} - 2 + 4\\y = \frac{1}{4} x + 2\\\)...................(1)

Now compare equation 1 from y = mx + b

   So,        m = 1/4       &  b = 2

Therefore, The correct option is (3) \(y = \frac{1}{4} x + 2\) .

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Answer:

3132

Step-by-step explanation:

2.2% of 3500 is 77 which leaves you with 3423 after one year. At this rate you can take 2.2% of 3423. using this formula five times you reach a final answer of 3132.

3500

-77

3423

-75.306

3347.694

-73.649268

3274.044732

-72.028984104

3202.0157479

-70.4443464538

3131.57140145

and rounding up to a whole leaves you with 3132

The cost of tickets for senior citizen and students are $11 and $13 respectively.

To solve this problem, we have to write out system of equations and solve the value of the unknown.

Let;

We can express the problem mathematically as;

\(6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)\)

Solving for x and y;

\(6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)\\x = 11, y = 13\)

From the calculations above, the value of x and y are 11 and 13 respectively.

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If the pilot takes no action to counteract the wind, the plane will have a speed of approximately 179.7 km/h relative to the ground.

The speed of the plane relative to the ground, considering the south wind, would be the vector sum of the plane's speed with respect to still air and the speed of the wind.

The speed of the plane with respect to still air is given as 160 km/h, and the speed of the south wind is 81.5 km/h. To find the speed of the plane relative to the ground, we need to calculate the resultant vector of these two velocities.

Using vector addition, we can find the magnitude of the resultant vector using the Pythagorean theorem.

Magnitude of resultant vector = √(160^2 + 81.5^2) = √(25600 + 6642.25) = √32242.25 ≈ 179.7 km/h.

Therefore, the speed of the plane relative to the ground, without any action taken by the pilot, is approximately 179.7 km/h.

In this scenario, the plane's speed with respect to still air is fixed at 160 km/h, while the south wind blows at a constant speed of 81.5 km/h. The relative speed between the plane and the wind can be visualized as the vector sum of these two velocities. By considering both magnitudes and directions, we can calculate the resultant velocity, which represents the speed of the plane relative to the ground.

To calculate the resultant velocity, we use vector addition. The magnitude of the resultant vector is found by squaring the individual magnitudes, summing them, and taking the square root of the sum. In this case, we have 160 km/h for the plane's speed and 81.5 km/h for the wind's speed. Applying the Pythagorean theorem, we find that the magnitude of the resultant vector is approximately 179.7 km/h.

This means that if the pilot takes no action to counteract the wind, the plane will have a speed of approximately 179.7 km/h relative to the ground. This indicates that the plane will experience a slightly reduced ground speed due to the opposing wind, which will affect its overall journey time and distance covered.

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Answer: I believe the answer is M= -4

Step-by-step explanation:

The two events are dependent, and the indicated probability is 1÷36.

What is Probability ?

Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The two events, "the sum is greater than 9" and "the red cube shows a 5," are dependent because the outcome of one event (the red cube showing a 5) affects the probability of the other event (the sum being greater than 9).

If the red cube shows a 5, then the only way for the sum to be greater than 9 is if the white cube also shows a number greater than 4 (since the highest number on a standard number cube is 6). However, if the red cube does not show a 5, then it is impossible for the sum to be greater than 9, regardless of the outcome of the white cube.

Therefore, the outcome of the red cube affects the probability of the sum being greater than 9, making the two events dependent on each other.

To find the indicated probability, we need to consider the possible outcomes where the red cube shows a 5 and the sum is greater than 9. There is only one possible outcome in this case, which is the red cube showing a 5 and the white cube showing a 5.

The total number of possible outcomes when rolling two number cubes is 6 x 6 = 36, since each cube has 6 sides and each side is equally likely to occur.

So, the probability of the sum being greater than 9 and the red cube showing a 5 is 1 out of 36 possible outcomes, or 1÷36. This is the indicated probability in this case. Therefore, the probability of the two events occurring together is 1÷36, making them dependent on each other. So, the probability of the sum being greater than 9 and the red cube showing a 5 is 1÷36.

This is because there is only one possible outcome where both events occur (red cube shows a 5 and white cube shows a 5) out of 36 possible outcomes when rolling two number cubes. Hence, the two events are dependent and the indicated probability is 1÷36. So, the two events are dependent because the outcome of one event affects the probability of the other event occurring.

The indicated probability of the sum being greater than 9 and the red cube showing a 5 is 1÷36, as there is only one favorable outcome out of 36 possible outcomes when rolling two number cubes.

Therefore, the two events are dependent and the indicated probability is 1÷36. So, in conclusion, the two events "the sum is greater than 9" and "the red cube shows a 5" are dependent because the outcome of the red cube affects the probability of the sum being greater than 9. The indicated probability of the two events occurring together is 1÷36, as there is only one favorable outcome out of 36 possible outcomes.

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Answer:

\(f(0)=4\)

\(f(6)=8\)

Step-by-step explanation:

Solution is attached

Answer:

Switch the second and third one on what you have now. U r good to go

Step-by-step explanation:

7/25=.28

8/32=.25

Answer:

23,500

Step-by-step explanation:

Answer:

this should be it

Step-by-step explanation:

The Probability that the defective bulb was produced by machine B is approximately 0.664 or 66.4%.

To find the probability that the defective bulb was produced by machine B, we can use Bayes' theorem.

Let event A be the defective bulb being chosen, and event B be the bulb being produced by machine B. We want to find P(B|A), the probability that the bulb was produced by machine B given that it is defective.

From the information given, we know that machine A produces 300 bulbs per day, of which 1% (3 bulbs) are defective, while machine B produces 720 bulbs per day, of which 1.5% (10.8 bulbs) are defective.

Thus, the total number of defective bulbs produced per day is 3 + 10.8 = 13.8.

The probability of choosing a defective bulb is equal to the total number of defective bulbs divided by the total number of bulbs produced per day:

P(A) = 13.8 / (300 + 720) = 0.016

The probability of machine B producing a bulb is equal to the number of bulbs produced by machine B divided by the total number of bulbs produced per day:

P(B) = 720 / (300 + 720) = 0.706

The probability of a bulb being defective given that it was produced by machine B is equal to the number of defective bulbs produced by machine B divided by the total number of bulbs produced by machine B:

P(A|B) = 10.8 / 720 = 0.015

Now, we can use Bayes' theorem to find P(B|A):

P(B|A) = P(A|B) * P(B) / P(A)

Substituting in the values we have calculated, we get:

P(B|A) = 0.015 * 0.706 / 0.016

Simplifying the equation, we get:

P(B|A) = 0.664

Therefore, the probability that the defective bulb was produced by machine B is approximately 0.664 or 66.4%.

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Given the data set:

2, 5, 7, 2, 11, 13, 5, 7, 1, 10, 10, 2, 3, 5, 1, 11

Let's find the box plot that correctly displays the data set shown.

Answer:

23) \(g\) has an amplitude greater than the period of \(f\)/Both lines have the same period/There are no shifts of any kind between both lines.

24) Both lines have the same amplitude/\(g\) has a period less than period of \(f\)/There are no shifts of any kind between both lines.

25) Both lines have the same amplitude/Both lines have the same period/There is an horizontal shift between \(f\) and \(g\).

26) Both lines have the same amplitude/Both lines have the same period/There is a vertical shift between \(f\) and \(g\).

Step-by-step explanation:

We proceed to describe succintly all differences and simmilarities between \(f\) and \(g\) in each case:

23) \(g\) has an amplitude greater than the period of \(f\)/Both lines have the same period/There are no shifts of any kind between both lines.

24) Both lines have the same amplitude/\(g\) has a period less than period of \(f\)/There are no shifts of any kind between both lines.

25) Both lines have the same amplitude/Both lines have the same period/There is an horizontal shift between \(f\) and \(g\).

26) Both lines have the same amplitude/Both lines have the same period/There is a vertical shift between \(f\) and \(g\).

Answer:

  264 cm²

Step-by-step explanation:

You want the area of a polygon composed of a 12 cm square with triangles of height 5 cm attached to each side.

The area of the square is the square of its side lenght:

  A = s²

  A = (12 cm)² = 144 cm²

The area of the four triangles is ...

  A = 4 × (1/2bh)

  A = 4 × 1/2(12 cm)(5 cm) = 120 cm²

The total area of the composite figure is ...

  A = square area + triangle area

  A = 144 cm² +120 cm² = 264 cm²

The area of the polygon is 264 cm².

<95141404393>

The 95% confidence interval to estimate the variance of the weights of the packages prepared by the machine is [0.16, 0.32].

To calculate this interval, we can use the chi-squared distribution. Since the sample size is relatively large (n=93), we can assume that the sampling distribution of the sample variance is approximately normal. Using the chi-squared distribution with 92 degrees of freedom (df = n - 1), we can find the values of chi-squared that correspond to the lower and upper 2.5% tails of the distribution.

For the lower tail, we find the chi-squared value that corresponds to the 2.5th percentile with 92 degrees of freedom, which is 69.18. For the upper tail, we find the chi-squared value that corresponds to the 97.5th percentile with 92 degrees of freedom, which is 115.14.

We can then use these chi-squared values and the sample variance to construct the confidence interval as follows:

(lower chi-squared value / (n-1)) * sample variance ≤ population variance ≤ (upper chi-squared value / (n-1)) * sample variance

(69.18 / 92) * 0.23 ≤ population variance ≤ (115.14 / 92) * 0.23

0.16 ≤ population variance ≤ 0.32

Therefore, we can be 95% confident that the true variance of the weights of the packages prepared by the machine is between 0.16 and 0.32.

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Answer:

\(\boxed{\textsf{ The value of x is \textbf{6}}}.\)

Step-by-step explanation:

Given that in the given figure , HF = 4x + 9 and EF = 5x +3 . And FG \(\perp\) EH . we need to find the value of x .

And here the two triangles must be congruent to each other . That is ,

\(\sf \triangle EGF \cong HGF \)

So we can say that

Using this equation we have ,

\(\sf\implies EF = HF \\\\\sf\implies 4x +9=5x+3\\\\\sf\implies 4x - 5x = 3-9\\\\\sf\implies -x=-6\\\\\sf\implies \boxed{\pink{\sf x = 6}}\)

You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

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Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?