You're arranging bouquets of flowers for a wedding. you have 240 roses and 168 lilies. what is the largest number of bouquets you can make where every bouquet is identical? o 1 bouquets , o 24 bouquets o 408 bouquets 0 40,320 bouquets

Answer:

30

Step-by-step explanation:

For a right triangle there is a formula ---> a² + b² = c²  ("c" is always the side not touching the right angle)

24² + 18² = c²

576 + 324 = c²

900 = c²

30 = c

The 3rd side is 30

The answer is D. 95th percentile is not needed for constructing a box-plot.

A box plot, also known as a box-and-whisker plot, provides a visual representation of the distribution of a dataset. It consists of several key measures, including the following:

A. First quartile (Q1): This is the 25th percentile, which marks the lower boundary of the box.

B. 50th percentile: This is the median, which is the middle value of the dataset when it is ordered from smallest to largest. It is represented by a line within the box.

C. 75th percentile (Q3): This is the upper quartile, marking the upper boundary of the box.

D. 95th percentile: This measure is not typically used in constructing a box plot. It provides information about the value below which 95% of the data falls, but it is not necessary for constructing the basic elements of a box plot.

Therefore, the correct answer is D. 95th percentile.

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To ensure that each of the three friends has a fair chance of being selected to drive first on their road trip, they can use the method of flipping a coin. Here's a step-by-step explanation:
1. Mark, Anthony, and Derek can gather together and agree to use a coin flip method to determine who will drive first.
2. They can designate one person to be the flipper, who will toss the coin into the air.
3. Before flipping the coin, they should establish what each side of the coin represents. For example, they can agree that heads means Mark drives first and tails means Anthony drives first.
4. The flipper then tosses the coin into the air, allowing it to spin and fall back down.
5. Once the coin lands, they can check the result and determine who will drive first based on the agreed-upon assignment for each side of the coin.
6. If Mark and Anthony are not selected to drive first, it automatically means that Derek will be the one to drive first.

Using the coin flip method ensures fairness because it provides an equal chance for each friend to be selected. It relies on chance rather than personal preferences or biases, making it an unbiased way to decide who will drive first on their road trip.

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Answer:

Step-by-step explanation:

Quadrante 5

Answer:

Ok, first we have the relation:

Speed = Distance/Time.

Here we have:

Distance = 24m

Time = 87 mins

Speed = 24m/87mins = 0.279 m/min.

Now, in 6 minutes, the distance moved will be (remember that the movement is downwards)

D(6min) = (0.279m/min)*6min = 1.66 m.

So in 6 minutes, it moves 1.66 meters down, if the initial position is 10m above the ground, then the position after 6 minutes is:

10m - 1.66m = 8.34m above the ground.

And after 70 minutes, the distance moved is:

D(70min) =  (0.279m/min)*70min = 19.53m

Again, the initial position is 10m above the ground, so after 70 minutes the position is:

10m - 19.53m = -9.53m

So after 70 minutes, the position is 9.53 meters under the ground.

The lift will go 2.76m deep from the surface after 70 mins.

The lift moves down 24m in 87 minutes.

The speed of an object that covers 'd' distance in 't' time is d/t.

So, speed of the lift = 24/87 = 3/29m/min

Distance covered in 6 minutes = 6 * 3/29 = 18/29 m

So, if initially lift is at the surface of the earth, it will go 18/29m below the surface.

Distance covered in 70 minutes = 70* 3/29 =210/29m

So, if the initially lift is at 10 m height, it will go (10-210/29) = -80/29 or 2.76m below the surface of the earth.

Therefore, the lift will go 2.76m deep from the surface after 70 mins.

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For the function f(t) the domain and range is [0, 12.76] and [1.80, 590.90] respectively.

A function is a mathematical tool used to associate one value with another.

In this case, the function models the height of an object being tossed from a tall building. The height of the object is given by the function h(t), where h represents the height in meters and t represents the time in seconds.

The domain and range of a function describe the set of all possible input values (domain) and the set of all possible output values (range) of a function. The domain and range of the function h(t) are as follows:

The domain of the function h(t) is the set of all possible values of t for which the function h(t) is defined. In this case, the domain of the function h(t) is [0, 12.76], which means that the function h(t) is only defined for time values between 0 and 12.76 seconds.

The range of the function h(t) is the set of all possible values of h(t) that the function can produce. In this case, the range of the function h(t) is [1.80, 590.90], which means that the height of the object can only be between 1.80 meters and 590.90 meters.

Therefore, the correct option is (a).

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Step-by-step explanation:

for triangle HLM

180-2x

180-(3x+6)

H

2x=3x-10

x=10°

180-36=144°

36-20=16°

H=2x

H= 180-144-16= 20°

Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

The equation y = -2/3x + 1/2 is in slope-intercept form.

What is the slope intercept?

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of a linear equation is y=mx + b.

A relationship that when graphed produces a straight line. Equation. A mathematical sentence that sets 2 expressions equal to each other.

It has the variable y on one side of the equation and the slope (-2/3) and y-intercept (1/2) are easily identifiable.

This is the equation of line AB.

Hence, the equation y = -2/3x + 1/2 is in slope-intercept form.

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Answer:

As shown in the attachment.

Step-by-step explanation:

Here are the examples,

Plot the graphs and similarly and check the equations with the various co-ordinates of x and y in the line to verify it is correct.

By using Law of Sines, the side b and a when A = 37°, B = 49°,c=5, and A = 132", C = 23, b = 10 is b ≈ 4.09 and a ≈ 19.66 respectively.

To use the Law of Sines to solve for the missing side in an oblique triangle, we can use the following formula:

a/sin(A) = b/sin(B) = c/sin(C)

Let's solve each problem using the Law of Sines:

Find side b when A = 37°, B = 49°, c = 5.

We know angle A, angle B, and side c. We need to find side b.

b/sin(B) = c/sin(C)

b/sin(49°) = 5/sin(180° - 37° - 49°)

b/sin(49°) = 5/sin(94°)

Cross-multiplying:

b * sin(94°) = 5 * sin(49°)

b = (5 * sin(49°)) / sin(94°)

b ≈ 4.09

Therefore, side b ≈ 4.09 (rounded to the nearest hundredth).

Find side a when A = 132°, C = 23, b = 10.

We know angle A, angle C, and side b. We need to find side a.

a/sin(A) = b/sin(B)

a/sin(132°) = 10/sin(180° - 132° - 23°)

a/sin(132°) = 10/sin(25°)

Cross-multiplying:

a * sin(25°) = 10 * sin(132°)

a = (10 * sin(132°)) / sin(25°)

a ≈ 19.66

Therefore, side a ≈ 19.66 (rounded to the nearest hundredth).

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The lac curve, also known as the envelope curve, is a curve that shows the maximum amount of work that can be done in a given period of time.

It is defined by the equation: W = min {W1 + W2, W3, W4, ..., Wn}, where W1, W2, W3, W4, ..., and Wn are the individual work tasks. The envelope curve is called such because it forms an envelope that encompasses all of the individual tasks on the graph, visually representing the maximum amount of work that can be done within the given timeline. This curve can be used to assess the efficiency of a task or project, as well as to analyze the impact of changes in the workload, deadlines, and resources.

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Answer:

h=1.3056 m

Step-by-step explanation:

L=2.5m

w=L(1 + 9/16)

w=2.5(1 + 9/16)=\(\frac{125}{32}\) m=3 \(\frac{29}{32}\)m

v=Lwh

12.75m³=(2.5m)(\(\frac{125}{32}\)m)h

12.75m³=(9.765625m²)h

\(\frac{12.75m^{3} }{9.765625m^{2} }\)=h

h=1.3056 m

Answer:

3 3/16

Step-by-step explanation:

If:

Length= 2 1/2

Width=2 1/2 divided by 1 9/16= 1 3/5

Volume=12 3/4

So then, 2 1/2 times 1 3/5=4

12 3/4 divided by 4= 3 3/16

Done!

Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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Answer:

Should be 5 in.

Step-by-step explanation:

C=2*Pi*R

31.4=2*3.14*R

substitute 5 for radius= 2*5=10

10*3.14=31.4

The value of the equation is 35 = 15 + 2y , where y is the number of years and the y = 10 years

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the initial height of the weeping willow be = 15 feet

Let the final height of the weeping willow be = 35 feet

The height in feet the weeping willow grows each year = 24 inches = 2 feet

Let the number of years be = y

On simplifying the equation , we get

35 = 15 + 2y

Subtracting 15 on both sides of the equation , we get

2y = 20

Divide by 2 on both sides of the equation , we get

y = 10 years

Hence , the equation is y = 10 years

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Answer:

t=4.375

Step-by-step explanation:

Answer:24 xexponet 3 − 5

Step-by-step explanation:

Answer:

Para compartir 7 alfajores entre 4 niños y niñas para que no quede nada, a cada niño y niña se les debe dar 7/4 alfajores

Step-by-step explanation:

Al compartir 5 alfajores, entre 3 niños y niñas, los alfajores se cortan en tres partes cada uno de manera que cada niño y niña recibe 5/3 piezas de alfajore

Luego, la pregunta es, ¿cómo se pueden compartir 7 alfajores entre 4 niñas y niños sin que quede nada?

Por el proceso de compartir ejemplos, obtenemos;

Cada alfajores debe dividirse en el número total de niños y niñas, que son cuatro piezas cada uno.

El número total de 1/4 piezas = 7 × 4 = 28 piezas de 1/4 alfajores

Cada niño y niña recibe 7 de las piezas de 1/4 alfajores

El número total de alfajores, n, compartidos entre los cuatro niños y niñas viene dado por la expresión;

n = 7 (1/4 alfajores) × 4 = 28 piezas de 1/4 alfajores

Por lo tanto, para compartir 7 alfajores entre 4 niños y niñas para que no quede nada, cada niño y niña debe recibir 7/4 alfajores.

we can use integer 0 as a sea level.

Answer: 35 is 70% of 50

Step-by-step explanation:

Steps to solve "35 is 70 percent of what number?"

We have, 70% × x = 35

or,

70

100

× x = 35

Multiplying both sides by 100 and dividing both sides by 70,

we have x = 35 ×

100

70

x = 50

If you are using a calculator, simply enter 35×100÷70, which will give you the answer.

Answer:

50

Step-by-step explanation:

35 + 15 = 50

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

15 is 30% of 50 There fore 50 is the correct answer

I took this exam, its the 5.08 Ratios and rates practice exam right?

Have an amazing Day and good luck (:

Answer:

Step-by-step explanation:

0056 because 1% is 72 so you know it’s going to have to be less then 72. So to get your percent you divide 40 by 7200 so 40/7200. This will get you .00555556 which I rounded to .0056

Answer:

I think for the 1 one the problem is 225=c^2

Step-by-step explanation:

you have to multiply 25x25 then 20x20 then 650-400=250. I'm not sure if I'm right.

If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.

Based on the given information, it can be concluded that the average age of all the students at City College is likely around 20. However, it's important to note that this conclusion is only valid if the sample of 90 students is representative of the entire student population at City College. If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.

The average age in a sample of 90 students at City College is 20. However, based on this sample alone, it cannot be conclusively determined that the average age of all the students at City College is also 20. This is because the sample may not be fully representative of the entire student population. More information or a larger sample would be needed to make a more accurate conclusion about the average age of all students at City College.

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If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.

Based on the given information, the average age in a sample of 90 students at City College is 20.

To determine if this sample can be used to conclude the average age of all students at City College, we need to consider these terms:
Sample:

A subset of a population, which in this case is the group of 90 students at City College.
Population:

The entire group of students at City College that we want to make a conclusion about.
Average (Mean) Age:

The sum of ages divided by the total number of students, in this case, 20 years.
Representativeness:

How well the sample reflects the characteristics of the entire population.
If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.

However, if the sample is not representative, the conclusion may not be accurate.

To make a more accurate conclusion, it is important to ensure that the sample is representative by using a larger sample size or random sampling methods.

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Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

Based on the error rate of manually and electronically filed returns, the chances of making an error using manual instead of electronic is c. 400 times more likely.

This can be found as:

= Percentage error from manual returns / Percentage error from electronic returns

Solving gives:

= 20% / 0.05%

= 400 times

In conclusion, option C is correct.

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The coefficient of determination is 0.6 or 60%.

The coefficient of determination, denoted as R-squared, is a measure of the proportion of variability in the dependent variable that is explained by the independent variable(s). It is given by:

R^2 = 1 - SSE/SST

where SSE is the sum of squares of residuals and SST is the total sum of squares.

In this case, we are given that SST = 2000 and SSE = 800. Substituting these values, we get:

R^2 = 1 - SSE/SST

= 1 - 800/2000

= 0.6

Therefore, the coefficient of determination is 0.6 or 60%.

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The answer you are looking for is C

The formula or equation used to determine the slope of a straight line is as follows:

m = (Y₂-Y₁)/(X₂-X₁)

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:

m = (Y₂-Y₁)/(X₂-X₁)

Where the points are:

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