Which pair of statement correctly compares the two data sets?

To find the difference in the number of students with the most and least numbers of pets, we need to look at the histogram and identify the highest and lowest bars.

The histogram shows the number of students in grade five who have one or more pets, so we can assume that each bar represents a different number of pets.
Let's say the histogram shows bars for 0, 1, 2, 3, 4, and 5 pets. If the highest bar represents 12 students with 2 pets and the lowest bar represents 2 students with 0 pets, then the difference would be 10 students (12-2).
So, the answer to the question depends on the specific histogram provided. However, we can use the information in the histogram to determine the difference in the number of students with the most and least numbers of pets.

To determine the difference in the number of students with the most and least numbers of pets, please follow these steps:
1. Examine the histogram, which shows the number of students in grade five who have one or more pets.
2. Identify the column representing the most number of pets (highest bar).
3. Identify the column representing the least number of pets (lowest bar).
4. Note the number of students associated with each column (the height of the bars).
5. Calculate the difference by subtracting the number of students with the least number of pets from the number of students with the most number of pets.
Your answer: The difference in the number of students with the most and least numbers of pets in the histogram is calculated by following the steps above.

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Answer:

60 m³

Step-by-step explanation:

A rectangular prism also called a cuboid is a shape that have six faces that are rectangles. The volume of a rectangular prism is the product of its length, width and height, i.e volume = length (l) × breadth (b) × height (h).

Given a prism with a base of length (l) = 5 m  by width (w) = 3 m and a height (h) = 4 m.

Volume= l × b × h

Volume = 5 m × 4 m × 3 m = 60 m³

Answer:

60m3

Step-by-step explanation:

54 cents cost for 9 inches of wire.

Cost rate is the amount that a worker costs the business. For instance, Zack bills $100 per hour and makes $25 per hour in costs. In other words, the corporation pays him $25 for every hour he bills. The profitability of your workers, projects, and employment is determined by cost rates.

The smallest unit of length is the inch (plural: inches). One foot is made up of 12 inches. An inch is equivalent to 2.54 cm in the metric system. For shorter measurements like measuring a pencil's length or an eraser's breadth, inches are utilized.

Wire measuring 16 inches costs 96 cents,

thus the price is 96/16 = 6 cents.

6cents is the cost per inch of wire

so for 9inch the cost will be

9*6 = 54cents will be the cost of 9inch of wire

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a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

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Answer:

$19.13

Step-by-step explanation:

18 + 6.25 is 19.125 and you would round that to 19.13 as your total

If each of the plant's cans was filled to 12 ounces, the standard deviation of the sample of 10 cans would give us an idea of how much the weights of the cans deviate from the average weight of 12 ounces.

The calculation of the standard deviation requires knowledge of the mean and variance of the sample. To find the variance, we would need to subtract the mean from each of the observed weights, square the differences, and find the average of the squared differences. Finally, to find the standard deviation, we would take the square root of the variance.

It's worth noting that in practice, finding the standard deviation of a sample can be a complex and time-consuming process, especially when dealing with large sample sizes. However, it is a valuable metric that provides important information about the distribution and spread of the data.

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The correct option is (C) from venturing.

To find the correct option:

Therefore, the correct option is (C) from venturing.

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Answer:

72.10.

Step-by-step explanation:

1.) 70 x .03= 2.10

2.) 2.10 + 70

3) 72.10

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Answer:

Hiya, Need more explanation, and since you seem to be talking of a graph, maybe provide a picture of the graph

Thanks

Answer:

y=x-10

Step-by-step explanation:

y=ax+b - linear equation

y=-x+7

a=-1

y=cx+d - perpendicular equation to y=ax+b

a*c=-1

(-1)*c=-1

c=1

y=x+d

(4,-6) => x=4, y=-6

y=x+d => -6=4+d

d=-10

y=x-10

Answer:

10(15h-125)

Step-by-step explanation:

In this question, h is represented for hours. we want to see how much money sally will have after 10 weeks. We know each hour she makes $15 per h. This will look like 15h. We also know her bills cost $125 each week so we have to subtract 125 from 15h which the equation will now look like

15h-125.

Now we want to know how much she will have after 10 weeks so we will now the equation will look like 10(15h-125).

Answer: Pls I don't know this

Step-by-step explanation:

Pls I don't mean to hurt your feelings but my brother knows this and I have sent it to him

The simplified expression is 2y⁵.The coefficient of the simplified expression is 2.The exponent of x in the simplified expression is 0.The exponent of y in the simplified expression is 5.

To simplify the division (6x⁴y³)(4xy⁵) / (12x⁴y)(x²y), we can divide the corresponding terms:

(6x⁴y³)(4xy⁵) / (12x⁴y)(x²y)

First, let's simplify the coefficients: (6 * 4) / (12) = 2.

Next, let's simplify the x terms: x⁴ / x⁴ = 1.

For the y terms, we have y³ * y⁵ / y * y² = y^(3 + 5 - 1 - 2) = y⁵.

Putting it all together, we have:

(6x⁴y³)(4xy⁵) / (12x⁴y)(x²y) = 2x⁰y⁵ = 2y⁵.

Therefore, the simplified expression is 2y⁵.

The coefficient of the simplified expression is 2.

The exponent of x in the simplified expression is 0.

The exponent of y in the simplified expression is 5.

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The number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with each value of x to be a non-negative integer xₐ is (n +  k).

Solved using the technique of stars and bars, also known as balls and urns.

Imagine you have n identical balls and k+1 distinct urns.

Distribute the balls among the urns such that each urn has at least one ball.

First distribute one ball to each urn, leaving you with n - (k+1) balls to distribute.

Then use k bars to separate the balls into k+1 groups, with the number of balls in each group corresponding to the value of xₐ.

For example, if the first k bars separate x₀ balls from x₁ balls, the second k bars separate x₁ balls from x₂ balls, and so on, with the last k bars separating \(x_{k-1}\) balls from \(x_{k}\) balls.

The number of ways to arrange n balls and k bars is (n + k) choose k, or (n +k) choose n.

This is the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n, where each xₐ is a non-negative integer.

Therefore, the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with non-negative integer xₐ is (n +  k).

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For all customers in my store who buy cameras case and tripod, the conditional probability that he buying a tripod when case is bought is equals to 0.50.

A conditional probability is the probability of a certain event happening when another event is happening. Let us consider the events A and B. The conditional probability of occurrence of A when B already occurred, using formula, \( P(A|B )= \frac{ P( A and B)}{P(B)}\). Now, there are presence of data for all customers in store who buy cameras. Let's consider two events

C : customers who buy a camara case

T : customers who buy a tripod

The probability that customer purchase a camera and case, P(C) = 60% = 0.60

The probability that customer purchase a tripod, P(T) = 40% = 0.40

The probability that customer purchase a case and tripod , P( C = 30% = 0.30

Probability of people who bought only a case and not a tripod, P ( only C) = (60 - 30) = 30%

Percentage of people who bought only a tripod and not a case, P( only T) = (40 - 30) = 10%

Using the conditional probability formula,

Probability of buying tripod when a case is bought \(= P(T | C) = \frac{ P(T \cap C) }{ P(C) } \)

\(= \frac{ 0.3}{0.6}\)

= 0.50

Hence, required probability is 0.50.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The new exchange rate is 12.5 SEK: $1.

The Swedish krona trades at 10 SEK: $1. If the kroner weakens by 20% vs. the USD, the new exchange rate will be 12.5 SEK : $1.

Since we are looking for the exchange rate between Swedish krona and the dollar, let us find how many dollars we can buy with one Swedish krona initially.

10 SEK: $1 is the exchange rate. One can buy 1 dollar for every 10 SEK.

20% weakening of SEK would imply that one needs to spend more SEK to purchase the same amount of USD.

Since we have 20% depreciation, 1 dollar should now cost more than 10 SEK.

20% of 10 is 2, which means 2 SEK is now lost.

10 SEK - 2 SEK = 8 SEK

Now, 1 dollar is worth 8 SEK. Now we will reverse the ratio for the new exchange rate: 1/8 = 0.125, which means that 1 USD is worth 0.125 SEK.

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Answer:

x = 30

m<Y = 60

m<Z = 60

m<X = 60

Step-by-step explanation:

All of this should add up to 180 so...

2x + 2x + 3x - 30 = 180 (collect like terms)

7x - 30 = 180 (add 30 on both sides)

7x = 210 (divide by 7 on both sides)

x = 30

PLUG IN

2(30) = 60

3(30) - 30

90 - 30 = 60

m<Y = 60

m<Z = 60

m<X = 60

equilateral triangle

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Answer:

40*52*11*4 = $91,520

But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.

Step-by-step explanation:

Answer: $385440 if you work non stop, for every hour of those 4 years

Step-by-step explanation: 24 hours in a day, 24*365=8760

8760*4=35040 total hours.

Now if we multiply that by 11, because you get 11 dollars an hour,

35040*11= $385440 in total

But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.

f(x) = |x|

f(x) -d is a vertical translation down d units

g(x) = f(x) -4

= |x| -4 is a vertical translation down 4 units ( shift down 4 units)

f(x+c) is a horizontal translation left c units

g(x) = |x+5| is a horizontal translation left 5 units ( shift left 5 units)

g(x) = |x+5| -4 is a shift left 5 units and a shift down 4 units

To solve this problem, we need to use the concepts of orbital mechanics and gravitational potential energy.

Part A

The velocity of the satellite in the inner circular orbit is given by the equation:

v = sqrt(GM/r)

where G is the gravitational constant, M is the mass of the earth, and r is the radius of the orbit. Substituting the given values, we get:

v = sqrt(6.674 x 10^-11 N*m^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m))

v = 7760 m/s

Part B

The velocity of the satellite at the low point of the elliptical orbit can be found using the equation:

v = sqrt(2GM/r1 - 2GM/r2)

where r1 and r2 are the radii of the inner and outer circular orbits, respectively. Substituting the given values, we get:

v = sqrt(2 * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) - 2 * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m))

v = 1.004 x 10^4 m/s

Part C

The work done by the rocket motor to transfer the satellite from the circular orbit to the elliptical orbit is given by the difference in gravitational potential energy between the two orbits. This can be calculated using the equation:

W = mgh = m * G * M/r

where m is the mass of the satellite, g is the acceleration due to gravity, h is the height of the orbit above the earth's surface, and r is the radius of the orbit. Substituting the given values, we get:

W = 1000 kg * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) - 1000 kg * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m)

W = 3.80 x 10^9 J

Part D

The velocity of the satellite at the high point of the elliptical orbit can be found using the equation:

v = sqrt(GM/r1 + GM/r2)

Substituting the given values, we get:

v = sqrt(6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) + 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m))

v = 2.24 x 10^4 m/s

Part E

The velocity of the satellite in the outer circular orbit can be found using the equation in Part A, with the radius of the orbit set to 35,900 km. This gives:

v = sqrt(6.674 x 10^-11 N*m^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m)) v = 2.74 x 10^3 m/s

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No, this comparison is not reasonable.

This is the comparison given,

\(2.5 = 2.05\)

Now,

\(2.5 = 2.50\)

We know that,

\(2 .50 > 2.05\)

So,

\(2.50 ≠ 2.05 \\ •°• \: 2.5 ≠ 2.05\)

⎇ Hence, the comparison is not reasonable.

Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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Answer:

x < --8

Step-by-step explanation:

i hope this helps im a little rusty on math (:

Answer:

x < - 8

Step-by-step explanation:

\(\frac{3}{4}\) x + 7 < 1 ( subtract 7 from both sides )

\(\frac{3}{4}\) x < - 6 ( multiply both sides by 4 to clear the fraction )

3x < - 24 ( divide both sides by 3 )

x < - 8

The correct statement is- Once the Compromise of 1850 was passed, Northerners and Southerners readily accepted its terms, putting their suspicions to rest.

The statement describes how both Northerners and Southerners were suitable to fluently accept the terms of the concession of 1850 and put their reservations to rest after its end. The Concession of 1850 was a series of legislative measures aimed at resolving the growing pressures between the Northern and Southern countries of the United States over issues similar to slavery and the balance of power.

The statement suggests that the terms of the concession were satisfactory to both sides, allowing for a sense of agreement and resolution. It implies that the concession addressed the enterprises and interests of both Northerners and Southerners, leading to their amenability to accept it. By accepting the concession and its terms, both regions were suitable to palliate their reservations or dubieties, potentially reducing pressures between them.

This statement highlights the significance of the concession of 1850 in furnishing a temporary resolution to the contentious issues of the time, indeed though these issues would latterly contribute to the raising conflicts that ultimately led to the American Civil War.

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Hi there!

nearest percentage=64%

1.Subtract starting value and final value:

\(1599-579=1020\)

2.Divide it by the starting value:

\(1020*1599= 0.6378986866791744840525328330206378986\)

3.Multiply the term by 100:

\(0.6378986866791744840525328330206378986\)·\(100= 63.78986866791744840525328330206378986\)

4.Round the term:

\(63.78986866791744840525328330206378986=64\)

Therefore, the decrease of the total 8 years was 64%.

Answer:

64%

Step-by-step explanation:

579 is a 63.789868667917% decrease of 1599.

Percentage of decrease = |1599 - 579|/1599 = 1020/1599 = 0.63789868667917 = 63.789868667917%

Answer:

Step-by-step explanation:

First find the LCM and it is going to be 18.