the volume of a rectangular prism is 165 cubic inches. the base of the prism has an area of 15 square inches. what is the height of the prism

The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.

To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.

When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.

Therefore, the number formed by the digits 16, 06, and 68 is 160668.

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Answer:

dont know... its really haaaaaaard :(

Step-by-step explanation:

Mrs. Thakur will receive Rs 9331.2 after 2 years, with an interest rate of 8% compounded annually.

To find the total amount Mrs. Thakur will receive after 2 years,

We need to calculate the compound interest.

The formula for compound interest is: A = P * (1 + r/100)^n

Where A is the final amount, P is the principal (Rs 8000),

r is the interest rate (8%), and n is the number of years (2).

So,

A = 8000 * (1 + 8/100)^2

A = 8000 * (1.08)^2

A = 8000 * 1.1664

A = 9331.2

Therefore, Mrs. Thakur will receive Rs 9331.2 after 2 years

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Answer: 8.75 is your answer

Answer:

8 3/4

Step-by-step explanation:

Answer:

It's 20

Step-by-step explanation:

Adding and Subtracting

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GL :)

Area of Ohio ≈ 45,000 square miles

The population density of Ohio is 261.33 people / square miles

From the question, we are to determine the population density of Ohio

Using the internet,

Population of Ohio = 11,760,000

Area of Ohio = 44,825 square miles

Area of Ohio ≈ 45,000 square miles

Population density is given by the formula,

Population density = Number of people / Land area

Thus,

Population density of Ohio = 11760000/45000

Population density of Ohio = 261.33 people / square miles

Hence, the population density of Ohio is 261.33 people / square miles

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Answer:

the answer for 29÷3 is 9.6666666667

Answer:

9.66666666667 but I would put 6.3

Step-by-step explanation:

just use the calculator

The given expression is 90500 − (0.46 × 90500). The distributive property is used to simplify this expression and write it in only multiplication.

The distributive property of multiplication over addition or subtraction states that when a quantity is multiplied by the sum or difference of two or more terms, the product is equal to the sum or difference of the products of the quantity with each term .

The expression can be simplified into only multiplication as follows:90500 − (0.46 × 90500)

= 90500 − 41630

= 48870.

Therefore, 90500 − (0.46 × 90500) simplified into only multiplication is 48870.

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The answer to your question is True.

This is that descriptive statistics is used to summarize and describe the characteristics of a population or sample. When you have the data for the entire population of interest, you are able to analyze and describe the data using descriptive statistics without needing to infer or estimate any parameters.

This means that you are most likely going to engage in descriptive statistics when you have the data for the entire population of interest.
However, it is important to note that inferential statistics can also be used with complete population data in some cases, such as when you are testing hypotheses or making predictions about future data.
Overall, when you have complete population data, you will most likely use descriptive statistics to analyze and describe the data, but there may be situations where inferential statistics can also be used.
True, if you have the data for the entire population of interest, you are most likely going to engage in descriptive statistics.

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the probability that the hospital stay of children not wearing any restraints is from 5 to 6 days is 0.10031, or about 10.03%.

To find the probability that the hospital stay of children not wearing any restraints is from 5 to 6 days, we need to standardize the interval by subtracting the mean and dividing by the standard deviation. Let X denote the hospital stay of a child not wearing any restraints, then we have:

Z = (X - μ) / σ

where μ = 7.37 and σ = 2.60.

To find the probability that X is from 5 to 6 days, we standardize the endpoints:

Z1 = (5 - 7.37) / 2.60 = -0.91
Z2 = (6 - 7.37) / 2.60 = -0.52

Using a standard normal table or a calculator, we can find the area under the standard normal curve between Z1 and Z2:

P(-0.91 < Z < -0.52) = 0.10031 (rounded to five decimal places)

Therefore, the probability that the hospital stay of children not wearing any restraints is from 5 to 6 days is 0.10031, or about 10.03%.

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The number of ways two side items can be selected from a list depends on the number of items on the list.

For instance, if there are five side items on the list, the number of ways to choose two items from the list can be calculated as 5C2, which equals 10.

To determine the number of ways to select two side items from a list, we need to use the combination formula, nCr. In this case, n represents the number of items on the list, and r represents the number of items to be selected (in this case, 2). Using the formula, 5C2 is equal to 5! / (2! x (5-2)!) = 10. Therefore, there are 10 ways to select two side items from a list of 5.

The number of ways two side items can be selected from a list depends on the number of items on the list. To calculate this, we use the combination formula, nCr. In this case, n represents the number of items on the list, and r represents the number of items to be selected. By applying this formula, we can determine the number of ways two items can be selected from a given list.

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Answer:

4/7

Step-by-step explanation:

32/56 = 4/7

Answer:

x = 4

Step-by-step explanation:

\(\frac{32}{56} = \frac{x}{7}\\\\\frac{32}{56}*7 = x\\\\\frac{32}{8} = x \\\\4 = x\)

The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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Answer: 5/8

Step-by-step explanation:

\(\frac{-5-10}{-10-14}=\frac{5}{8}\)

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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Joe's ball was in the air the longest, staying aloft for 88.75 seconds. Furthermore, Joe's ball reached the greatest height, soaring to 710 feet.

The table has two variables, Height (t) and Time (x), indicating that the ball was thrown at different heights and times. To determine who had the ball in the air the longest and for how long, we need to create a graph. Let's plot the Height (y) on the y-axis and Time (x) on the x-axis.

Since the graph is a straight line, we can use the equation y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope is -8 and the y-intercept is 710. Thus, the equation becomes:

y = -8x + 710

To find out who threw the ball for the longest time, we need to identify the x-intercept, which is where the ball hits the ground. By setting y = 0 and solving for x, we can determine this value:

0 = -8x + 710

8x = 710

x = 88.75 seconds

Therefore, Joe's ball was in the air the longest, for a duration of 88.75 seconds.

Now, let's utilize the equation derived above too determine who threw their ball the highest and how high it went. The equation we obtained is:

y = -8x + 710

To find the maximum value of y, which represents the highest point reached by the ball, we need to identify the vertex of the parabola. Using the formula x = -b/2a, where a is the coefficient of x^2 and b is the coefficient of x, we can calculate the x-coordinate of the vertex. However, since there is no x^2 term in this equation (a = 0), the formula yields an undefined value. This indicates that the vertex is located on the y-axis.

To find the y-coordinate of the vertex, we substitute x = 0 into the equation:

y = -8(0) + 710

y = 710

Thus, the vertex is located at (0, 710), representing the maximum value of y. Consequently, Joe threw his ball the highest, with it reaching a height of 710 feet.

In summary, Joe's ball was in the air the longest, staying aloft for 88.75 seconds. Furthermore, Joe's ball reached the greatest height, soaring to 710 feet.

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Step-by-step explanation:

1. No, Yes

2. No, Yes

3. 6x^2+10

4. 2x^2-3

5.x^2+x

6.-2x^4+11x+3

7. 3x^3+15x^2+20

8. -9x^3+4x^2+8x

9. xy+2x+6y+5

10. 8xy-y^2x

Sorry if i messed up on some by misreading.

Answer: The total medical bill function for Dr. Leon is given by:

c(m) = 26m + 60

During the holidays, Dr. Leon changes his total medical bill function to:

c(m) = 35m + 45

We can compare the two functions to see how they differ:

c(m) = 35m + 45 (holiday pricing)

c(m) = 26m + 60 (regular pricing)

To calculate the difference in cost between the two pricing plans, we can subtract the regular pricing from the holiday pricing:

c(m) - c(m) = (35m + 45) - (26m + 60)

= 9m - 15

Therefore, the difference in cost between the two pricing plans is 9m - 15 dollars per 20-minute session. For any given value of m, we can use this expression to calculate the difference in cost between the two pricing plans.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=0

The percentage of the slices that were eaten will be 30%.

The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

From the information, it should be noted that each pizza is divided into 10 slices. The total amount of slices eaten will be:

= 1 + 6 + 2

= 9

Total slices = 30

The percentage of the slices that were eaten will be:

= 9 / 30 × 100

= 30%

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Let's denote the radius of the circle by r. The radius of the circle is 5 meters.

The central angle of 2 radians means that it cuts off an arc whose length is equal to 2 times the radius, or 2r. The formula for the area of a sector is:

A = (1/2) r^2 θ

where A is the area of the sector, r is the radius, and θ is the central angle in radians. We can use this formula to find the radius of the circle:

25 = (1/2) r^2 (2)

25 = r^2

r = ±√25

Since the radius of a circle can't be negative, we take the positive square root:

r = 5 m

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The absolute minimum value of f(x) = x³ - 9x² + 4 on the interval (-4, 7) is unknown. The absolute maximum value is 16.

To find the absolute maximum and minimum values of the function f(x) = x³ - 9x² + 4 on the interval (-4, 7), we need to evaluate the function at its critical points and endpoints.

First, we find the critical points by taking the derivative of f(x) and setting it equal to zero: f'(x) = 3x² - 18x

Setting f'(x) = 0, we get: 3x(x - 6) = 0

This gives us critical points at x = 0 and x = 6.

Next, we evaluate the function at the critical points and endpoints:

f(-4) = (-4)³ - 9(-4)² + 4 = -44

f(0) = 0³ - 9(0)² + 4 = 4

f(7) = 7³ - 9(7)² + 4 = 16

Comparing these values, we see that the absolute minimum value is unknown, as there may be lower values within the interval (-4, 7). However, the absolute maximum value is 16.

Therefore, the absolute minimum value of f(x) on the interval (-4, 7) is unknown, and the absolute maximum value is 16.

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To compute the probability of selecting a certain number of white or black balls from the urn after a certain number of trials, we can use the concept of conditional probability. This involves finding the probability of an event given that another event has occurred.

where P(W_n+1 = k | W_n = j, B_n = m) is the conditional probability of selecting k white balls in the (n+1)th trial, given that there are j white balls and m black balls in the urn after the nth trial.

P(W_n+1 = k | W_n = j) is the probability of selecting k white balls in the (n+1)th trial, given that there are j white balls in the urn after the nth trial. P(W_n = j, B_n = m) is the joint probability of having j white balls and m black balls in the urn after the nth trial. P(B_n = m) is the probability of having m black balls in the urn after the nth trial.

Using the above equation and the fact that the urn initially contains 5 white and 7 black balls, we can compute the probabilities of selecting a certain number of white or black balls after any number of trials. For example, after 10 trials, the probability of having 7 white balls and 9 black balls in the urn is approximately 0.055.

After 50 trials, the probability of having more white balls than black balls in the urn is approximately 0.989. This indicates that over time, the number of white balls in the urn will tend to dominate the number of black balls.

Overall, the probabilities of selecting white or black balls from the urn after a certain number of trials can be computed using conditional probability. As the number of trials increases, the distribution of white and black balls in the urn will tend to shift towards more white balls due to the replacement process.

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Answer:

coordinates for vertex are (5, -9)

Step-by-step explanation:

Given

\(a=1\\\\b=-10\\\\c=16\)

using the formula for the x coordinate of the vertex which is \(\frac{-b}{2a}\) it yields:

\(x_{vertex}=\frac{-(-10)}{2}=5\)

We now have the x-coordinates of the vertex, by applying the x coordinate in the equation we get:

\(5^2-(10\times 5)+16\\\\=25-50+16\\\\=-9\)

thus the \(y_{vertex}=-9\)

Thus the coordinates of the vertex should be (5, -9)

Answer: (2x + 3y)^2; m = 2 n = 3

Step-by-step explanation:

another way to write (2x + 3y)^2 is

(2x+3y) (2x+3y) if you FOIL (First, Outsides, Insides, Lasts) you will get

4x^2 + 6xy + 6xy + 9y^2

= 4x^2 + 12xy + 9y^2

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are given a equation,

\(\longrightarrow (mx+ny)^2 = 4x^2+12xy+9y^2  \\\)

Consider the LHS ,

\(\longrightarrow (mx+ny)^2 \\\)

We can expand it using an indentity ,

Identity:-

\(\longrightarrow \boxed{ (a+b)^2=a^2+b^2+2ab}\\\)

So we have;

\(\longrightarrow (mx)^2+(ny)^2+2(mx)(ny) = 4x^2+12xy + 9y^2  \\\)

Simplify,

\(\longrightarrow  m^2(x^2) + n^2(y^2) + 2xy(mn) = 4x^2+12xy + 9y^2\\\)

On comparing the respective terms , we have;

Simplify and solve for m and n as ,

\(\longrightarrow m =\sqrt{4} =\boxed{2}\\\)

\(\longrightarrow n =\sqrt{9} =\boxed{3} \\\)

Hence the value of m is 2 and that of n is 3 .

The dependent variable in the regression analysis that will be conducted is the salary offered (W) to university graduates.

It is considered the dependent variable because it is the variable that is predicted or explained by the Grade Point Average (G), which is the independent variable. The regression analysis will help to determine how much the salary offered varies with changes in the Grade Point Average, and the mathematical equation derived from the analysis will be used to predict the salary offered based on a given Grade Point Average.

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Answer:

try B if wrong sorry

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation: