D Question 6 The formula for finding the needed sample size is provided below. (0.25) n= E Find the needed sample size by substituting the values provided and then calculating n. 2= 1.96, E = 0.02 240

1 km as a mile is:

1 kilometers = 0.6214 miles

We know that a kilometers (km) and miles are the units of distance. kilometers and miles are generally used to measure the length from one point to the other. In the metric system, kilometer is the unit of length. It is the International System of Units

Whereas miles are used in the US customary units.

The unit 'kilometer' is abbreviated as 'km'

And the mile is abbreviated as “mi”.

Most of the time these units are used to measure geographical land areas.

To convert the measure of distance from km to miles, we use the following conversion factor:

1 kilometer = 0.62137119 miles

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Answer:

\(y=-\frac{6x}{5}\)

Step-by-step explanation:

\(-2x + 7y = -5\\-2.0 - 4y = 6\)

\(y=-\frac{6x}{5}\)

To find the first term of an arithmetic sequence, use the formula: first term = last term - (number of terms - 1) * common difference.

To find the first term of an arithmetic sequence given the number of terms, the last term, and the common difference, you can use the following formula

First term = Last term - (Number of terms - 1) * Common difference

Here's how to use this formula

Identify the number of terms, the last term, and the common difference of the arithmetic sequence.

Plug these values into the formula.

Simplify the formula using order of operations (PEMDAS) to find the first term.

For example, let's say we have an arithmetic sequence with 10 terms, a last term of 50, and a common difference of 5. Using the formula above, we get

First term = 50 - (10 - 1) * 5

First term = 50 - 9 * 5

First term = 50 - 45

First term = 5

Therefore, the first term of the arithmetic sequence is 5.

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Answer:

d = 3h - 6

Step-by-step explanation:

So, the system of equations representing this situation is: n + d + q = 95; 0.05n + 0.10d + 0.25q = 13.70; q = d + 11.

To represent this situation with a system of equations, we can use the following equations:

The total number of coins: n + d + q = 95

The total value of the coins in dollars: 0.05n + 0.10d + 0.25q = 13.70

The relationship between the number of quarters and dimes: q = d + 11

The first equation represents the total number of coins, which is given as 95.

The second equation represents the total value of the coins in dollars, which is given as $13.70. The values of each coin (nickel, dime, quarter) are multiplied by their respective quantities (n, d, q) and summed up to obtain the total value.

The third equation represents the relationship between the number of quarters (q) and dimes (d), which states that there are 11 more quarters than dimes.

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Answer:

T

Step-by-step explanation:

The average rate of change over an interval can be calculated by finding the difference in the function's values at the endpoints of the interval and dividing it by the difference in the input values of the endpoints.

To calculate the average rate of change over an interval, follow these steps:

1. Identify the two endpoints of the interval. Let's call them x1 and x2.

2. Evaluate the function at x1 and x2 to find the corresponding function values, let's call them y1 and y2.

3. Calculate the difference in the function values by subtracting y1 from y2: (y2 - y1).

4. Calculate the difference in the input values by subtracting x1 from x2: (x2 - x1).

5. Finally, divide the difference in the function values by the difference in the input values to find the average rate of change: (y2 - y1) / (x2 - x1).

Let's look at an example:

Suppose we have the function f(x) = 2x + 3 and we want to find the average rate of change over the interval [1, 4].

1. The endpoints of the interval are x1 = 1 and x2 = 4.

2. Evaluate the function at x1 and x2:
  - f(1) = 2(1) + 3 = 5
  - f(4) = 2(4) + 3 = 11

3. Calculate the difference in the function values: 11 - 5 = 6.

4. Calculate the difference in the input values: 4 - 1 = 3.

5. Divide the difference in the function values by the difference in the input values:
  - 6 / 3 = 2.

Therefore, the average rate of change of f(x) over the interval [1, 4] is 2. This means that, on average, for every unit increase in x, the function f(x) increases by 2.

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Answer:

A.

Step-by-step explanation:

Answer:

the solution is (1,-1)

Step-by-step explanation:

the lines meet at (1,-1)

Answer: 720

Step-by-step explanation: So this question really is just about subtraction and addition so as you can tell 630 is lower than 693 so if you add to where it is a 693 you need to add 63. But if you look at 720 its higher so you need to subtract and if you subtract to 693 then you need to subtract 27. So 27 is less than 63.

There are a total of $15^5 = 759,375$ distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, in order.

To find the number of distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, we need to consider the range of numbers that can be placed in the diagonal.

In the given BINGO card, the diagonal starts with the number 5 in the top left corner and ends with the number 71 in the bottom right corner. We can see that the numbers in the diagonal follow a pattern:

5, 17, 32, 49, 71

We can analyze this pattern to find the number of distinct possibilities.

- The first number, 5, can be any number from the set $1-15$.
- The second number, 17, can be any number from the set $16-30$.
- The third number, 32, can be any number from the set $31-45$.
- The fourth number, 49, can be any number from the set $46-60$.
- The fifth number, 71, can be any number from the set $61-75$.

To find the number of distinct possibilities, we multiply the number of choices for each position:

15 choices for the first number × 15 choices for the second number × 15 choices for the third number × 15 choices for the fourth number × 15 choices for the fifth number

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Answer:

Median: 25

Upper quartile: 30

Lower quartile: 20

IQR: 10

Step-by-step explanation:

The nice thing here is they already put them in order :)

16, 18, 20, 22, 24,    26, 28, 30, 32, 34

For the median, it's the middle number of the ordered data set. Unfortunately here, there is an even number of entries. In that case, we average the middle two numbers, 24 and 26. 24 + 26 = 50/2 = 25

For lower quartile/Q1, you take the middle number of the bottom half of the data set. Bottom half: 16, 18, 20, 22, 24...so the middle is 20

For the upper quartile/Q3, you take the middle number of the top half of the data set. Upper half: 26, 28, 30, 32, 34...so the middle is 30

For interquartile range/IQR, you calculate the range from third to first quartile: 30-20 = 10

Please lmk if you have questions.

Answer:

1) 3.25 gallons

2)12-1.75tt

Step-by-step explanation:

1) gallons per hour x number of hours

1.75x5 = 8.75 gallons

subtract your answer from what he currently has

12 - 8.75 = 3.25 gallons

The portfolio's return can be calculated by multiplying the weights of each investment by their respective returns and summing them up. However, without information on the weights of the investments, the portfolio's return cannot be determined accurately.

To calculate the portfolio's return, we need to know the weights of each investment, which represent the proportion of the total portfolio value allocated to each asset. Without this information, we cannot determine the exact portfolio return.

However, if we assume equal weights for simplicity, the average return of the portfolio can be estimated. In this case, the portfolio consists of $1,000 invested in Disney with a 15% return and $5,000 invested in Oracle with an 18% return.

Using equal weights, the estimated portfolio return can be calculated as follows:

Portfolio return = (Weight of Disney × Return of Disney) + (Weight of Oracle × Return of Oracle)

Assuming equal weights, the portfolio return would be:

(0.5 × 15%) + (0.5 × 18%) = 7.5% + 9% = 16.5%

Therefore, with equal weights, the estimated portfolio return would be 16.5%. However, please note that without accurate information on the weights of the investments, the exact portfolio return cannot be determined.

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Answer:

Step-by-step explanation:

a

To find out how long it will take for the egg to hit the ground, we need to determine the value of t when the height (h) of the egg is zero. In other words, we need to solve the equation:

-16t^2 + 30 = 0

To solve this quadratic equation, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 0, and c = 30. Substituting these values into the quadratic formula, we get:

t = (± √(0^2 - 4*(-16)30)) / (2(-16))

Simplifying further:

t = (± √(0 - (-1920))) / (-32)

t = (± √1920) / (-32)

t = (± √(64 * 30)) / (-32)

t = (± 8√30) / (-32)

Since time cannot be negative in this context, we can disregard the negative solution. Therefore, the time it will take for the egg to hit the ground is:

t = 8√30 / (-32)

Simplifying this further, we get:

t ≈ -0.791 seconds

The negative value doesn't make sense in this context since time cannot be negative. Therefore, we discard it. So, the egg will hit the ground approximately 0.791 seconds after being dropped.

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There are 2024 ways in which the instructor can choose 3 students from a class of 24 students for the field trip.

A combination is a mathematical technique for calculating the number of possible arrangements in a set of items where the order of the selection is unimportant.You can choose the items in any order in combinations.

Permutations and combinations are often confused. In permutations, however, the order of the selected items is critical. For example, the arrangements ab and ba are equal in combinations (considered as one arrangement), but different in permutations.

There is a way you can calculate combinations using a formula. This formula is:

\(nC_r = \frac{n! }{ r!(n-r)! }\)

where

n = total no. of items;

r = items selected for the combination;

"!" is the factorial

Given,

Total number of students in class , n = 24

Number of students selected, r = 3

So, the number of ways that 3 students can be selected from 24 students is

\(24C_3=\frac{24 !}{3!(24-3) !}\\\\=\frac{24 !}{3!*21 !}\\\\=\frac{3!*24*23*22*21 !}{3!*21 !}\\\\=\frac{24*23*22}{3*2*1}\\\\=2024\)

Hence, the students can be selected in 2024 ways for the field trip.

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Answer:

0.5 assignments (or 1 grade per 2 minuites)

Step-by-step explanation:

20/40 is 0.5

( / is division)

Answer:

2 assignments per minute

Step-by-step explanation:

Divide

20 / 40 = 0.5 minutes per assignment

Divide.

1 / 0.5 = 2

Best of Luck!

Distance from Breadth of one side of the wall = L/3 units

Distance from one corner i.e from Breadth = L - L/3 - L/6 = L/2

Distance from floor i.e surface = H/6 units

Distance from Ceiling= H - H/6 = 5H/6 units

Considering the room to be in the shape of a Cuboid as well as the Bed to be in the shape of a Cuboid.

Dimensions of Room:

In mathematics, space is the only light without elements; its magnitude or cardinality (number of elements in the set) is zero.

Let the Length of the cuboid which is in the shape of a room = L

The breadth of the cuboid which is in the shape of a room = B

Height of cuboid which is in the shape of a room = H

Considering, L>B>H

Dimension of Bed

Length = L/6 units

Breadth = B/4 units

Height = H/6 units

Taking one corner at origin i.e (0,0,0)

You can keep your bed at any place inside the room, but you want your bed to be at that place inside the room where the window is located so that proper ventilation and sunlight can enter your room.

Taking the bed to be in the middle of the room near the window and considering its upper face

Distance from one corner i.e from length= B- B/4 = 3B/4 Units

Distance from other corner =  0 Units

Distance from Breadth of one side of the wall = L/3 units

Distance from one corner i.e. from Breadth = L - L/3 - L/6 = L/2

Distance from floor i.e. surface = H/6 units

Distance from Ceiling= H - H/6 = 5H/6 units

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Answer:

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

There are a total of 25 books at the library, of which 4 are nonfiction biographies. Therefore, 4 out of the 25 books are nonfiction biographies, which can be expressed as the fraction 4/25.

Answer:

-1

Step-by-step explanation:

-5 + 4 = 1

In (2+x) gallons of the 60% alcohol solution, the amount of pure alcohol is 0.85x + 0.5 gallons.

To solve this problem, we need to find the amount of pure alcohol in (2+x) gallons of a 60% alcohol solution.

Let's start by calculating the amount of pure alcohol in each of the given solutions:

For the x gallons of 85% alcohol solution, the amount of pure alcohol is 0.85x gallons (since 85% is equivalent to 0.85).

For the 2 gallons of 25% alcohol solution, the amount of pure alcohol is 0.25 * 2 = 0.5 gallons (since 25% is equivalent to 0.25).

Now, let's find the total amount of pure alcohol in the resulting mixture of (2+x) gallons of 60% alcohol solution.

Since the 60% alcohol solution is a combination of the 85% alcohol solution and the 25% alcohol solution, we can sum up the amounts of pure alcohol from each solution:

Total amount of pure alcohol = amount of pure alcohol in 85% solution + amount of pure alcohol in 25% solution

Total amount of pure alcohol = 0.85x + 0.5 gallons

Therefore, the amount of pure alcohol in (2+x) gallons of the 60% alcohol solution is given by the expression 0.85x + 0.5 gallons.

It's important to note that this expression represents the amount of pure alcohol, not the total volume of the solution. The total volume of the solution would be (2+x) gallons.

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Answer:

I don't see any symbols, so I'll simply compare the two measurements.

Step-by-step explanation:

2 yards and 4 inches

Each yard has 3 feet.  Each foot has 12 inches.  The total inches in 3 yards is therefore:

(2 yards)*(3 feet/yard)*(12 inches/Foot) = 72 inches  [Note how the units cancel to leave only inches]

This means we have a total of 72 + 4 inches = 76 inches total

19 Inches

Compared to 19 inches, 72 inches is almost 3.79 times longer.

A qualitative variable is a variable that cannot be measured in numerical terms, but rather, is characterized by qualities or attributes that are not numerical. Option A is the correct answer.

Qualitative variables are also called categorical variables because they represent categories or groups. Examples of qualitative variables include gender, nationality, religion, and occupation.

In contrast, quantitative variables can be measured in numerical terms, such as age, height, weight, income, and test scores. Understanding the nature and characteristics of different types of variables is important for selecting appropriate statistical methods and techniques to analyze and interpret data.

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Answer:

4 feet 11 inches

Step-by-step explanation:

all you need to do is see how many groups of 12 is in 59

its 4 because 5 times 12 is 60

12 times 4 is 48

59-48= 11

4 feet 11 inches

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Answer:

for question 2

x^2=102_2

x^2=100

x=10

The tangential component of the acceleration is At=0 and the normal component of the acceleration is An=2j.

To find the tangential and normal components of the acceleration vector, we first need to find the velocity and acceleration vectors.

The velocity vector is the derivative of the position vector:

r(t) = ti + t^2j + 8tk

v(t) = r'(t) = i + 2tj + 8k

The acceleration vector is the derivative of the velocity vector:

a(t) = v'(t) = 2j

The acceleration vector is constant and is directed entirely in the y-direction, so the tangential component of the acceleration is zero.

The normal component of the acceleration is the magnitude of the acceleration vector, which is:

|a| = √(0^2 + 2^2 + 0^2) = 2

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Step-by-step explanation:

First digit :  6 choices

Second digit:  6 choices

Third digit:   3 choices   ( 2, 4 or 6 to be an even number)

6 x 6 x 3 = 108 possibles