A florist wants to determine if a new additive would help extend the life of cut flowers longer than the original additive. The florist randomly selects 20 carnations and randomly assigns 10 to the new additive and 10 to the original additive. After three weeks, 5 carnations placed in the new additive still looked healthy, and 3 carnations placed in the original additive still looked healthy. The difference in proportions (new – original) for the carnations that still looked healthy after three weeks was 0.2. Assuming there is no difference in the additives, 200 simulated differences in sample proportions are displayed in the dotplot.

Using this dotplot and the difference in proportions from the samples, is there convincing evidence that the new additive was more effective?
A. Yes, because a difference in proportions of 0.2 or more occurred 41 out of 200 times, meaning the difference is statistically significant and the new additive is more effective.
B. Yes, because a difference in proportions of 0.2 or less occurred 159 out of 200 times, meaning the difference is statistically significant and the new additive is more effective.
C. No, because a difference in proportions of 0.2 or more occurred 41 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.
D. No, because a difference in proportions of 0.2 or less occurred 159 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.

The celestial sphere and Earth is the example of a beach ball with a ping pong ball inside of it can be used to imagine the relationship between what two entities.

The heavenly sphere is what Why is this old idea still relevant today?

Which phrase most accurately sums up the celestial sphere?

The entire sky as seen from Earth is portrayed by the celestial sphere. Keep in mind that the celestial sphere is intended to depict the sky as it appears from our planet rather than physical reality.

Learn more about celestial sphere

brainly.com/question/13196153

#SPJ4

There are 72 pupils in bertha if the ratio of 1 Bertha to form 1 Florence is 12:20 if there are 120 pupils in Florence.

The problem can be solved by using the concept of ratios and inverse ratios. It involves setting up a proportion based on the given ratio and using algebra to solve for the unknown quantity.

If the ratio of Bertha to Florence is 12:20, then the ratio of Florence to Bertha is 20:12 (inverse ratio).

Let the number of pupils in Bertha be x. Then, the number of pupils in Florence would be:

20/12 * x = 120

Simplifying:

x = 120 * 12/20

x = 72

Therefore, there are 72 pupils in Bertha.

Learn more about ratios:

https://brainly.com/question/30332645

#SPJ4

If one of the effects is substantial, it should be included in the analysis as a control variable.

If none of the effects are important, the analysis may need to be redone with a more comprehensive model or a bigger sample size.

If you conduct a two-way between-subjects ANOVA and discover that the interaction F-test is important, the next thing to do is to interpret the results.

You may be interested in estimating the main effects of each variable and the interaction effect.

In a two-way ANOVA, a statistical method is employed to identify the interactions between two variables.

ANOVA stands for analysis of variance.

It is a statistical method used to compare two or more populations by analyzing the variance between them.

F-test is a statistical method used to compare two variances or to test hypotheses about whether two population variances are equal.

It can be used to compare more than two variances in ANOVA.

When the interaction effect in a two-way between-subjects ANOVA is important, the interpretation of the main effects of each variable and the interaction effect must be done.

If one of the effects is substantial, it should be included in the analysis as a control variable.

If none of the effects are important, the analysis may need to be redone with a more comprehensive model or a bigger sample size.

To know more about ANOVA, visit:

https://brainly.com/question/15084465

#SPJ11

Based on the results of the two polls, it can be concluded that there is a significant difference in the proportion of citizens in Normal, Illinois who favor strict enforcement of speed limits between the two surveys.

In the first poll of 515 citizens, 60% favored strict enforcement of speed limits with a margin of error of 4%. This means that the true proportion of citizens who favor strict enforcement falls within the range of 56% to 64% with 95% confidence.

In the second poll of 519 citizens, only 34% favored strict enforcement. Since the confidence interval from the first poll does not overlap with the proportion from the second poll, we can infer that there is a significant difference between the two proportions.

Therefore, based on these results, it can be concluded that there has been a change in public opinion regarding the strict enforcement of speed limits in Normal, Illinois.

Learn more about limits here:

https://brainly.com/question/12207563

#SPJ11

The given citation is a reference to a research paper titled "Progressive Strategies for Monte-Carlo Tree Search" by Chaslot, G., Winands, M., Herik, H., Uiterwijk, J., and Bouzy, B.

The paper was published in the journal "New Mathematics and Natural Computation" in November 2008.

Here are the details of the citation:

Authors: G. Chaslot, M. Winands, H. Herik, J. Uiterwijk, and B. Bouzy

Title: Progressive Strategies for Monte-Carlo Tree Search

Journal:

Year: 2008

Volume: 04

Pages: 343–357

DOI: 10.1142/s1793005708001094

The DOI (Digital Object Identifier) provided is a unique identifier for the paper and can be used to access the paper online, usually through a database or publisher's website.

Learn more about New Mathematics and Natural Computation here:

https://brainly.com/question/28204760

#SPJ11

To expand log₄₁₂, we can use log properties to simplify it to log₄(a²b²) + log₄(2.376). For log₇(2⋅6), it simplifies to log₇(2) + log₇(3). logₕ(9jk) remains as logₕ(9) + logₕ(j) + logₕ(k).



To expand the expression log₄₁₂, we can use the property logₐₓᵧ = logₐₓ + logₐᵧ. Applying this property, we have:

log₄₁₂ = log₄(√(a²b²)) + log₄(3log₄₃log₄₄)

Since log₄₃ ≈ 0.792, we can substitute its value into the expression:

log₄₁₂ = log₄(√(a²b²)) + log₄(3 × 0.792 × 1)

Simplifying further:

log₄₁₂ = log₄(√(a²b²)) + log₄(2.376)

To evaluate log₄(√(a²b²)), we can use the property logₐ(xᵦ) = (logₐx)/(logₐᵦ):

log₄₁₂ = (log₄(a²b²))/(log₄₄) + log₄(2.376)

Since log₄₄ = 1, we have:

log₄₁₂ = log₄(a²b²) + log₄(2.376)

Therefore, the expanded form of log₄₁₂ is log₄(a²b²) + log₄(2.376).

For log₇(2⋅6), we can simplify it using the property logₐ(xy) = logₐx + logₐy:

log₇(2⋅6) = log₇(2) + log₇(6)

And log₇(6) can be further simplified as log₇(3⋅2) = log₇(3) + log₇(2).

So, log₇(2⋅6) simplifies to log₇(2) + log₇(3).

Regarding logₕ(9jk), since there are no properties that allow us to simplify this expression, the expanded form remains as it is: logₕ(9) + logₕ(j) + logₕ(k).

To learn more about expression click here

brainly.com/question/26994041

#SPJ11

Answer:

about 116.18

Step-by-step explanation:

Circumference is 2PI*radius

So it should equal 37*3.14 which equals about 116.18

Answer:

3/s

Step-by-step explanation:

Answer:

3/s

Step-by-step explanation:

i had the same question our teacher went over it

Step-by-step explanation:

If there are 40 kids and 22 of them play soccer that leaves you to subtract 22 from 40 which gives you 18. After that, you put the rest of the 18 students over a total of 40 and divide to get the decimal .45 and if you convert that into a percent you are left with 45%.

1. 40-22=18

2.18/40=.45

3.45=45%

The required rounded value of 538 to the nearest ten is 540.

To round 538 to the nearest ten, you can follow these steps:

By following these steps, we round 538 to the nearest ten as follows:

538 rounded to the nearest ten is 540.

Therefore, the rounded value of 538 to the nearest ten is 540.

Learn more about round numbers here;

brainly.com/question/867784

#SPJ6

The absolute extreme values on the given interval, sin 21 2 + cos21 is 1. Since the function is continuous on a closed interval, it must have a maximum and a minimum on the interval.

Since sin²(θ) + cos²(θ) = 1 for all θ, we have:

sin²(θ) = 1 - cos²(θ)

cos²(θ) = 1 - sin²(θ)

Therefore, we can write the expression sin²(θ) + cos²(θ) as:

sin²(θ) + cos²(θ) = 1 - sin²(θ) + cos²(θ)

                    = 1 - (sin²(θ) - cos²(θ))

Now, let f(θ) = sin²(θ) + cos²(θ) = 1 - (sin²(θ) - cos²(θ)).

We want to find the absolute extreme values of f(θ) on the interval [0, 2π].

First, note that f(θ) is a continuous function on the closed interval [0, 2π] and a differentiable function on the open interval (0, 2π).

Taking the derivative of f(θ), we get:

f'(θ) = 2cos(θ)sin(θ) + 2sin(θ)cos(θ) = 4cos(θ)sin(θ)

Setting f'(θ) = 0, we get:

cos(θ) = 0 or sin(θ) = 0

Therefore, the critical points of f(θ) on the interval [0, 2π] occur at θ = π/2, 3π/2, 0, and π.

Evaluating f(θ) at these critical points, we get:

f(π/2) = 1

f(3π/2) = 1

f(0) = 1

f(π) = 1

Therefore, the absolute maximum value of f(θ) on the interval [0, 2π] is 1, and the absolute minimum value of f(θ) on the interval [0, 2π] is also 1.

In summary, the absolute extreme values of sin²(θ) + cos²(θ) on the interval [0, 2π] are both equal to 1.

To know more about extreme value refer here:

https://brainly.com/question/17613380#

#SPJ11

To find side given angle and two sides:

a² = b² + c² − 2bc cos(A)

Here given:

Solve for AC (a):

Answer:

AC = 14.8 cm (1 dp)

Step-by-step explanation:

Cosine rule

\(\sf b^2=a^2+c^2-2ac \cos B\)

(where a, b and c are the sides, and B is the angle opposite side b)

Given:

Substituting the given values into the formula and solving for b:

\(\implies \sf AC^2=10^2+7^2-2(10)(7) \cos 120^{\circ}\)

\(\implies \sf AC^2=100+49+70\)

\(\implies \sf AC^2=219\)

\(\implies \sf AC=\pm\sqrt{219}\)

As length is positive,

\(\implies \sf AC=\sqrt{219}\:cm\)

\(\implies \sf AC=14.8\:cm\:(1\:dp)\)

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

To know more about alternate exterior angles visit:

https://brainly.com/question/2279752

#SPJ1

To determine the number of aardvarks that were there last year, we will have to use the formula for exponential growth. Exponential growth is a type of growth that increases in size exponentially over time.

The formula for exponential growth is given by the equation:

\(Nt = N\times(1 + r)^t,\)

where N₀ is the initial population, r is the annual growth rate, t is the time in years, and Nt is the population after t years.Let's use this formula to find the number of aardvarks last year. Given that the current population of aardvarks is 756, and the growth rate is 8%, we can write the equation as

\(:Nt = N \times (1 + r)^t756 = N \times(1 + 0.08)^1So, N = 756 / (1 + 0.08)^1\)

Now, we need to find the population of aardvarks last year, which is t = 1 year before.

Thus, plugging in t = 1, we get

:\(N = 756 / (1 + 0.08)^1N= 700\)

Hence, there were 700 aardvarks last year.

For such more question on growth rate

https://brainly.com/question/29334875

#SPJ8

Answer:

left nut, right nut

Step-by-step explanation:

that makes an ordered pair

The answer is "141.17647058823529411764705882353", hope this helps! Please Mark me the brainliest! ☺

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

For more questions on Length .

https://brainly.com/question/28322552

#SPJ8

Part a

This represents a translation of 2 units to the right. So, the points are \((6, -3), (0,0), (8, -15)\).

Part b

This represents a translation of 9 units up. So, the points are \((4,6), (-2,9), (-10,-6)\).

Part c

This represents a translation of 3 units left and 1 unit down. So, the points are \((1, -4), (-5, -1), (-13, -16)\).

The required value of the sample standard deviation is 5.

The term" standard deviation" refers to the degree of dissipation of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

Let's first review the information that has been provided: sample size m is 5, a total of x equals 20, and the sum of x squared equals 118 points. Discovering the sample standard deviation is the task.

First, let's review the formula for the sample standard deviation: it is equal to the root square sum of x square minus the sum of x in a square divided by n sample size divided by n minus 1 point.

Consequently, let's compute as follows: root square 118, minus 20 square, divided by 5, divided by 5, minus 1 point s, equals root square of 25 points, and the resultant value of s will be 5. We can now state that the requested sample standard deviation is equal to 5.

Hence, the requested sample standard deviation is equal to 5.

To learn more about the standard deviation from the given link

brainly.com/question/475676

#SPJ4

The value to the bakery of one customer prospect would be approximately $40.56  rounding  penny.

To calculate the value to the bakery of one customer prospect, we need to consider the conversion rate and the customer lifetime value.

The conversion rate is given as 24%, which means there is a 24% chance that a booth visitor will become a customer.

The customer lifetime value is given as $169, which represents the average value a customer brings to the bakery over their lifetime.

To calculate the value of one customer prospect, we multiply the conversion rate by the customer lifetime value:

Value of one customer prospect = Conversion rate * Customer lifetime value

Value of one customer prospect = 0.24 * $169

Value of one customer prospect = $40.56

Therefore, the value to the bakery of one customer prospect would be approximately $40.56.

To learn more about  conversion click here:

brainly.com/question/31537059

#SPJ11

Answer:

Y = x + 1

Step-by-step explanation:

m = y2-y1 / x2-x1

Hope this helps. Pls give brainliest.

This indicates that after accounting for the inflation rate of 7%, the purchasing power of the $1,000 investment decreased by approximately 1.92%.

The real rate of return represents the rate of return adjusted for inflation, which reflects the purchasing power of the investment. To calculate the real rate of return, we subtract the inflation rate from the nominal interest rate.

In this case, the nominal rate of interest is 5 percent, but prices have actually risen by 7 percent, indicating an inflation rate of 7 percent. Therefore, the real rate of return can be calculated as follows:

Real rate of return = Nominal interest rate - Inflation rate

Real rate of return = 5% - 7%

Real rate of return = -2%

The negative sign indicates that the purchasing power of the investment has decreased. To express the real rate of return as a positive value, we take the absolute value, resulting in approximately 2%. Therefore, Gladys earned a real rate of return of approximately -2% or -1.92% (rounded to two decimal places).

Learn more about rate of return here:

https://brainly.com/question/17164328

#SPJ11

Answer:

the answer would be 132

Step-by-step explanation:

180-48=132

Answer:

y=-1/3x+3

Step-by-step explanation:

Answer:

-1/3 and (0,3) hope this helps

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

The solution of general indefinite integral is (1/4)y⁴ + (0.6)y³ - (1.2)y² + C

To find the general indefinite integral of this expression, we first need to apply the power rule of integration.

The power rule states that the integral of xⁿ dx equals xⁿ⁺¹/(n+1) + C, where C is the constant of integration. In this case, we can apply the power rule to each term in the expression:

∫ y³ dy = y³⁺¹/(3+1) + C = (1/4)y⁴ + C

∫ 1.8y² dy = 1.8y²⁺¹/(2+1) + C = (0.6)y³ + C

∫ -2.4y dy = -2.4y¹⁺¹/(1+1) + C = (-1.2)y² + C

Notice that we add a constant of integration "C" to each term, as the derivative of a constant is always zero. Therefore, the most general antiderivative of the expression S(y³ + 1.8y² - 2.4y)dy is:

∫ (y³ + 1.8y² - 2.4y)dy = (1/4)y⁴ + (0.6)y³ - (1.2)y² + C

To know more about integral here

https://brainly.com/question/18125359

#SPJ4

Answer:

Answer is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.

on day 3 swimmer B has 17 (shown on chart)

on day 3 swimmer A has 23 (14, 17, 20, 23)

if you would want it to complicate it 14:3 and 11:2

14 ÷ 14 is 1

3 ÷ 14 is .214

11 ÷ 11 is 1

2 ÷ 11 is .181