At Southside Middle School, 20% of the students play an instrument. There are 305 students. How many students play an instrument?/

Answer:

A dotted line going through -2  on the x axis, with the right side of the graph shaded in.

hope this helps!

Answer:The population mean can be calculated by the sum of all values in the given data/population divided by a total number of values in the given data/population.

Answer:

She has earned $1980.90 in interest.

Step-by-step explanation:

Since we know that she deposited $3100 9 years ago, we know we have to find the amount of interest she gets per year times 9. So $3100*0.071 = $220.10 and then $220.1*9 = $1980.90. Therefore, she has earned $1980.90 in interest.

Answer:

The answer is 1980.9

Step-by-step explanation:

Formula is PxRxT

P=Princlple(Amount of money desposited)

R=Rate the rate in deciaml form. Example: 7.1=0.071

T=Time

SI=3100x0.071x9=1980.9

       P       R     T

The population function is given by P(t) = -2.5t² + 40t + 25 for 0 ≤ t ≤ 200.

Given that the initial population is P(0)=25 and the rate of growth is P′(0)=40−5t (in units of prairie dogs/month), for 0 ≤ t ≤ 200.

a. The population after 10 months is:

To find the population after 10 months, we have to substitute t = 10 in the given differential equation:

We can integrate both sides, the rate function and the variable function, to t:

Putting the limits of integration, we get:

Therefore, the population after 10 months is 15 prairie dogs.

b. To find the population P(t) for 0 ≤ t ≤ 200, we integrate both sides of the differential equation to t:

On integrating, we get:

Putting the limits of integration from 0 to t, we get:

Therefore, the population function is given by P(t) = - 2.5t² + 40t + C, where C is an arbitrary constant. Using the initial condition, P(0) = 25, we get:

Therefore, the population function is given by

P(t) = - 2.5t² + 40t + 25. For 10 months, the population is 15 prairie dogs and the population function is given by

P(t) = -2.5t² + 40t + 25 for 0 ≤ t ≤ 200.

To know more about the population function, visit:

brainly.com/question/29885717

#SPJ11

Answer:

A.f(x) = 86(1.04)x; grows approximately at a rate of 0.4% daily

Step-by-step explanation:

i did this question already

hope this helps

Answer:

it's C

Step-by-step explanation:

we can be 95% confident that the true population proportion falls between 0.575 and 0.645. we can be 99% confident that the true population proportion falls between 0.554 and 0.666. The difference in interpretation between the two confidence intervals lies in their level of confidence.

To construct the confidence intervals, we need to first calculate the sample proportion, which is the number of successes divided by the sample size:

p = 732/1200 = 0.61

a. To construct a 95% confidence interval for p, we can use the formula:

0.61 ± 1.96*√(0.61(1-0.61)/1200) = (0.575, 0.645)

Therefore, we can be 95% confident that the true population proportion falls between 0.575 and 0.645.

b. To construct a 99% confidence interval for p, we use the same formula, but with a z-score of 2.58:

0.61 ± 2.58*√(0.61(1-0.61)/1200) = (0.554, 0.666)

Therefore, we can be 99% confident that the true population proportion falls between 0.554 and 0.666.

c. The difference in interpretation between the two confidence intervals lies in their level of confidence.

Interpretation refers to the act of explaining or translating something in a way that makes it understandable to others. It can be applied to various fields, such as language, art, music, literature, and data analysis. In language interpretation, a person is responsible for conveying the meaning of a message from one language to another. In art interpretation, a person may explain the meaning or symbolism behind a piece of artwork.

In music interpretation, a performer may interpret a piece of music in a unique way, adding their own personal style to it. In data analysis interpretation, analysts may draw conclusions or insights from data and present them in a way that is understandable to others. Interpretation can also involve making sense of ambiguous or complex situations and providing explanations or solutions. Ultimately, interpretation involves understanding something and communicating that understanding to others in a clear and meaningful way.

To learn more about Interpretation visit here:

brainly.com/question/30932003

#SPJ4

To determine how many dollars a restaurant makes per day, the restaurateur would need to measure the "revenue" metric.

Revenue is the total amount of money a business earns from its sales or services provided over a specific period of time, in this case, daily. It includes all income generated by the restaurant from selling food and drinks to customers.

Measuring revenue is essential for any business as it helps the owner understand the financial health of their enterprise. By tracking revenue over time, the restaurateur can identify patterns and trends and make informed decisions to increase profits and improve the business's overall performance.

To learn more about revenue, visit here

https://brainly.com/question/28497313

#SPJ4

A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

Learn more about ordinal scale

brainly.com/question/20630243

#SPJ4

Only one bill of lading (BoL) is required for the entire shipment and it doesn't matter how many stops the truck makes.

As per the question statement, we are supposed to tell that how many bill of lading is needed for one shipment.

Before solving this, we need to know that a bill of lading (BL or BoL) is a legal document that specifies the kind, quantity, and destination of the goods being transported and is issued by the carrier (transportation business) to the shipper.

Hence, only one bill of lading (BoL) is required for the entire shipment and it doesn't matter how many stops the truck makes.

To learn more about bill of lading, click on the link given below:

https://brainly.com/question/10351127

#SPJ4

Answer:

Step-by-step explanation:

What's the question?

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

4 1/3 of her hair

Step-by-step explanation:

Just add 2 1/6 + 2 1/6 and there you go

There is the total amount of her hair she cut

Answer:

1/2 base * height = 16 in^2

1/2 * 8 in * H = 16 in^2

H = 32 in^2 / 8 in = 4 in         Equation # 4

Answer:

25%

Step-by-step explanation:

\(percentage \: increase = \frac{30 - 24}{24} \times 100 \\ \\ = \frac{6}{24} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25\%\)

The probability of winning in the game can be calculated by dividing the net gain by the cost to play the game, resulting in a probability of winning of 1 in every 250 games.

To determine the probability of winning, we need to compare the net gain with the cost to play the game. In this case, the cost to play is $X, and the net gain is $100,000 - $X. The expected value of the game is given as $Y. Since the expected value is the average outcome over many games, it can be calculated by multiplying the probability of winning by the net gain and subtracting the probability of losing multiplied by the cost to play:

Y = (1/250) * ($100,000 - $X) - (249/250) * $X

Simplifying the equation, we get:

Y = ($100,000 - $X)/250 - (249/250) * $X

Given that the expected value Y is $0, we can solve for X:

($100,000 - $X)/250 - (249/250) * $X = $0

Solving this equation, we find that X is equal to $399.60. Therefore, the probability of winning is approximately 1 in every 250 games.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

Answer:

An equation that represents the line is:

y = 3/4x - 9/2

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

Given the attached graph of a line.

Taking two points from the line, such as

Determining the slope between (2, -3) and (0, 6)

\(\left(x_1,\:y_1\right)=\left(2,\:-3\right),\:\left(x_2,\:y_2\right)=\left(6,\:0\right)\)

\(m=\frac{0-\left(-3\right)}{6-2}\)

refine

\(m=\frac{3}{4}\)

substituting m = 3/4 and the point (2, -3) in the slope-intercept form of the line equation

y = mx + b

\(\left(-3\right)=\frac{3}{4}\left(2\right)+b\)

\(\frac{3}{2}+b=-3\)

subtract 3/2 from both sides

\(\frac{3}{2}+b-\frac{3}{2}=-3-\frac{3}{2}\)

\(b=-\frac{9}{2}\)

now substituting b = -9/2 and m = 3/4 in the slope-intercept form of the line equation

y = mx + b

y = 3/4x + (-9/2)

Therefore, an equation that represents the line is:

y = 3/4x - 9/2

Answer: its 41 dude

The unit rate in acres of land planned by the workers per day is found is 16/35 acres.

For the mentioned question-

Total acres of land planted = 2/5 acres.

Total time taken = 7/8 days.

Thus, unit rate in acres per day = Total acres of land planted / Total time taken

unit rate in acres per day = (2/5) / (7/8)

unit rate in acres per day = (2*8)/(5*7)

unit rate in acres per day = 16/35

Thus, unit rate in acres of land planned by the workers per day is found is 16/35 acres.

To know more about the rate of doing work, here

https://brainly.com/question/25864308

#SPJ1

Based on the arithmetic sequence with the first term −5 and the common difference 4 is 660, we could find m = 20.

To find the sum of the first m terms of an arithmetic sequence, we can use the formula:

sum = (m/2)(2a + (m-1)d),

where a is the first term,

d is the common difference,

and m is the number of terms.

In this case, we are given a = −5, d = 4, and sum = 660. We can plug these values into the formula and solve for m:
660 = (m/2)(2(-5) + (m-1)(4))
660 = (m/2)(-10 + 4m - 4)
660 = (m/2)(4m - 14)
1320 = m(4m - 14)
0 = 4m^2 - 14m - 1320

Now we can use the quadratic formula to solve for m:
m = (-b ± √(b^2 - 4ac))/(2a)
m = (-(−14) ± √((−14)^2 - 4(4)(-1320)))/(2(4))
m = (14 ± √(196 + 21120))/8
m = (14 ± √21316)/8
m = (14 ± 146)/8

Now we have two possible values for m:
m = (14 + 146)/8 = 160/8 = 20
m = (14 - 146)/8 = -132/8 = -16.5

Since m must be a positive integer, we can conclude that m = 20. Therefore, the sum of the first 20 terms of the arithmetic sequence is 660.

Here to learn more about The Arithmetic Sequence at the link https://brainly.com/question/28369191

#SPJ11

The B-Tree index (m = 4) after inserting the given input index

                   [10, 13]

                  /       \

       [1, 2, 3, 4, 5, 6, 7, 8, 9]    [11, 12]    [14, 15, 16, 17, 19]

To create a B-Tree index with m = 4 after inserting the given input index, we'll follow the steps of inserting each value into the B-Tree and perform any necessary splits or reorganizations.

Here's the step-by-step process:

1. Start with an empty B-Tree index.

2. Insert the values in the given order: 12, 13, 10, 5, 6, 1, 2, 3, 7, 8, 9, 11, 4, 15, 19, 16, 14, 17.

3. Insert 12:

  - As the first value, it becomes the root node.

4. Insert 13:

  - Add 13 as a child to the root node.

5. Insert 10:

  - Add 10 as a child to the root node.

6. Insert 5:

  - Add 5 as a child to the node containing 10.

7. Insert 6:

  - Add 6 as a child to the node containing 5.

8. Insert 1:

  - Add 1 as a child to the node containing 5.

9. Insert 2:

  - Add 2 as a child to the node containing 1.

10. Insert 3:

  - Add 3 as a child to the node containing 2.

11. Insert 7:

  - Add 7 as a child to the node containing 6.

12. Insert 8:

  - Add 8 as a child to the node containing 7.

13. Insert 9:

  - Add 9 as a child to the node containing 8.

14. Insert 11:

  - Add 11 as a child to the node containing 10.

15. Insert 4:

  - Add 4 as a child to the node containing 3.

16. Insert 15:

  - Add 15 as a child to the node containing 13.

17. Insert 19:

  - Add 19 as a child to the node containing 15.

18. Insert 16:

  - Add 16 as a child to the node containing 15.

19. Insert 14:

  - Add 14 as a child to the node containing 13.

20. Insert 17:

  - Add 17 as a child to the node containing 15.

The resulting B-Tree index (m = 4) after inserting the given input index will look like this:

```

                   [10, 13]

                  /       \

       [1, 2, 3, 4, 5, 6, 7, 8, 9]    [11, 12]    [14, 15, 16, 17, 19]

```

Each node in the B-Tree is represented by its values enclosed in brackets. The children of each node are shown below it. The index values are arranged in ascending order within each node.

Please note that the B-Tree index may have different representations or organization depending on the specific rules and algorithms applied during the insertion process. The provided representation above is one possible arrangement based on the given input.

To know more about B-Tree index, visit:

https://brainly.com/question/33169926#

#SPJ11

The standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16

Given, the chance that a certain type of thumbtack lands point up when you toss it in the air is 80%.

we have to find the standard deviation of the proportion of the given data that it lands point up out of 100 tosses.

Number of trials be, 100

probability of success be, 80/100 = 0.8

On using the formula of Standard deviation, we get

standard deviation = n×p×(1 - p)

standard deviation = 100×0.8×(1 - 0.8)

standard deviation = 100×0.8×0.2

standard deviation = 16

So, the standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16

Hence, the standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16

Learn more about Standard Deviation here https://brainly.com/question/24298037

#SPJ4

a. The probability of, P(add both times) is 11/36.

b) The probability of rolling an even number less than 5, P(even, less than 5) is 5/36.

c) The probability of rolling the same number both times, P(the same number both times) is 1/6.

To find the probability, the number of outcomes that result in a sum of each integer is given below:

a. There are 11 outcomes that result in adding to an even number.

The probability, P(add both times) = 11/36.

b) Rolling an even number less than 5 has the following outcomes (2,1), (2,3), (4,1), (4,3), and (6,1).

The probability of rolling an even number less than 5 will be:

P(even, less than 5) = 5/36.

c) Rolling the same number both times has the following outcomes (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).

The probability of rolling the same number both times will be:

P(the same number both times) = 6/36

P(the same number both times) = 1/6.

Learn more about probability at: https://brainly.com/question/24756209

#SPJ1

Complete question:

If a standard die is rolled twice, find each probability.

a) P (add both times) b) P (even, less than 5) c) P (the same number both times)

The \(125^{8x-6}\), can be expressed in the form 5y,  as  5^{(24x-18)} .

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Given that

\(125^{8x-6}\)

then we can express 125 inform of a power of 5  which can be expressed as \(125 = 5^{5}\)

Then the expression becomes

\(5^{3(8x-6)}\)

=\(5^{(24x-18)}\)

Learn more about expression at;

https://brainly.com/question/1859113

#SPJ1

Answer:

y = 1.3

Step-by-step explanation:

18y - 17 = 7

18y = 7 + 17

18y = 24

y = 24/18

y = 1.3

hope it helps!

Answer:

y=4/3

Step-by-step explanation:

To solve for y, we need to isolate it.

18y-17=7

Let's start by adding 17 to both sides.

18y=24

Next, we can divide both sides by 18.

y=24/18

Simplify.

y=4/3

The real world situation that could be represented by a graph is Given that y varies proportionally with x, with a constant of proportionality k=13 , find y when x=12.

The graph of the proportional relationship equation is a straight line through the origin.

The real-world situation that could be represented by a graph is Given that y varies proportionally with x , with a constant of proportionality k=13 , find y when x=12.

The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant

Learn more about graph on:

https://brainly.com/question/19040584

#SPJ1

Hi there! :)

\(\huge\boxed{x = -2}\)

m(x) = 4x + 15

Find the value of "x" that would satisfy m(x) = 7:

4x + 15 = 7

Subtract 15 from both sides:

4x = -8

Divide both sides by 4:

x = -2.

The expected value of the treatment mean square for a completely randomized design experiment is given by E(MS Trt) = σ2 + m∑Ti2 / (L-1).

Let L be the number of treatments, and R be the number of replications per treatment.

According to the model, yij is the response from the jth replication of the ith treatment.

Therefore, the total number of observations is given by N = LR. Therefore, we assume the following linear model to estimate the treatment effects: yij=μ+Ti+Eij Where yij is the observed value for the jth replication in the ith treatment. μ represents the population mean.

Ti represents the effect of the ith treatment and is assumed to be a fixed effect. Eij is the error term for the jth replication of the ith treatment, and is assumed to follow a normal distribution with a mean of 0 and a variance of σ2.

We now turn to the analysis of variance for the CRD with L treatments and R replications per treatment.

The total sum of squares is given by: SST = ∑∑yij2 - (T..)2/N Where T.. is the total sum of observations.

It has (L-1)(R-1) degrees of freedom.

The total mean square is given by: MST = SST / (L-1)(R-1)

The treatment sum of squares is given by: SSTR = ∑n(T.)2/R - (T..)2/N Where T. is the sum of the observations in the ith treatment, and n is the number of observations in the ith treatment.

It has L-1 degrees of freedom. The treatment mean square is given by: MSTR = SSTR / (L-1)

The error sum of squares is given by: SSE = SST - SSTR It has (L-1)(R-1) degrees of freedom.

The error mean square is given by: MSE = SSE / (L-1)(R-1)

Therefore, E(MS Trt)=σ2+ m∑Ti2/t-1  since E(Ti)=0 for all i.

To show that E(MS Trt) = σ2 + m∑Ti2 / t-1

We start by using the definition of expected value E() to derive the expected value of the treatment mean square

(MS Trt): E(MS Trt) = E(SSTR / (L-1))

Next, we can express SSTR in terms of the Ti's as follows:

SSTR = ∑n(T.)2/R - (T..)2/N= 1/R ∑Ti2n - (T..)2/N

We can then substitute this expression into the expression for MS Trt:

MS Trt = SSTR / (L-1)

Substituting SSTR = 1/R ∑Ti2n - (T..)2/N, we get:

MS Trt = [1/R ∑Ti2n - (T..)2/N] / (L-1)

Simplifying the expression, we get:

MS Trt = [1/R ∑Ti2n] / (L-1) - [(T..)2/N] / (L-1)E(MS Trt)

= E([1/R ∑Ti2n] / (L-1)) - E([(T..)2/N] / (L-1))

Next, we can apply the linearity of expectation to the two terms:

E(MS Trt) = 1/(L-1) E[1/R ∑Ti2n] - 1/(L-1) E[(T..)2/N]

Simplifying the expression, we get:

E(MS Trt) = 1/(L-1) E(Ti2) - 1/(L-1) [(T..)2/N]

We note that E(Ti) = 0 for all i, since the treatments are assumed to have no effect on the population mean.

Therefore, we can simplify the expression further:

E(MS Trt) = E(Ti2) / (L-1) - [(T..)2/N] / (L-1)

Substituting the expression for Ti2 from the model, we get:

E(MS Trt) = σ2 + m∑Ti2 / (L-1)(R-1) - [(T..)2/N] / (L-1)

Simplifying the expression, we get:

E(MS Trt) = σ2 + m∑Ti2 / (L-1)

Since we have derived the expected value of MS Trt in terms of the Ti's, we can now use this result to derive E(MS Err). By definition, we have E(MS Err) = σ2.

Therefore, the expected value of the treatment mean square for a completely randomized design experiment is given by E(MS Trt) = σ2 + m∑Ti2 / (L-1). When Ti = 0 for all i, the treatments have no effect on the population mean, and hence all the observations will be independent and identically distributed with a common variance. Therefore, the experiment reduces to a randomized complete block design with one block, and the standard analysis of variance can be used to estimate the treatment effects.

To know more about normal distribution visit:

brainly.com/question/15103234

#SPJ11

The t-value for 90% confidence and nu=9 is 1.833.

To find the t-value using the t-table, we need to know the degrees of freedom (nu) and the desired confidence level. In this case, nu=9 and the confidence level is 90%.

Using a two-tailed t-table, we find the critical value of t for a 90% confidence interval and 9 degrees of freedom to be 1.833. This means that there is a 90% probability that the true population mean falls within 1.833 standard errors of the sample mean.

This value is important when constructing confidence intervals or conducting hypothesis tests with small sample sizes. A t-value is used to assess whether the difference between sample means is significant or due to chance.

A larger t-value indicates a larger difference between the sample means and a higher likelihood of statistical significance.

For more questions like Sample mean click the link below:

https://brainly.com/question/31101410

#SPJ11