Subtract. Write your answer as a mixed number in simplest form.5 7/10 - 1 9/10

(b) 5.Let's first express 1 + 2 + ... + n as the sum of an arithmetic series:

1 + 2 + ... + n = n(n+1)/2

Now, we need to find the positive integers n for which 6n is divisible by n(n+1)/2, or equivalently, for which n+1 is divisible by 3.

If n+1 is divisible by 3, then either n+1 = 3, 6, 9, ... or n+1 = 4, 7, 10, .... The first case gives n = 2, 5, 8, ... and the second case gives n = 3, 6, 9, ....

Thus, there are 5 possible values of n: 2, 3, 5, 6, and 9.

An arithmetic series is a sequence of numbers where each term is obtained by adding a constant value to the previous term. This constant value is called the common difference. For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic series with a common difference of 3. The formula for the nth term of an arithmetic series is: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term in the sequence, and d is the common difference. The sum of the first n terms of an arithmetic series can be calculated using the formula: S_n = n/2(a_1 + a_n).

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Answer:

34.56 in

Step-by-step explanation:

2.4*2.4*6=34.56

The rate at which the gray whale swims is 6.7 kilometers per hour.

What is the equation that relates the distance, rate, and time?

The equation that relates the distance, rate, and time is distance = rate × time

This equation can be used to calculate any one of the three variables if the other two are known.

For example, if you know the rate at which an object is moving and the time it has been moving, you can use this equation to find the distance it has traveled. Or, if you know the distance traveled and the time it took to travel that distance, you can use this equation to find the average rate of travel.

We are given that the distance traveled by the gray whale is 161 kilometers in 24 hours. Therefore, we can use the equation to find the rate at which the gray whale swims,

rate = distance / time = 161 km / 24 h ≈ 6.7 kph

Rounding to the nearest tenth, the rate at which the gray whale swims is approximately 6.7 kilometers per hour.

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Answer:

x = - \(\frac{57}{5}\)

Step-by-step explanation:

\(\frac{3}{4}\) (x - 3) - 5 = \(\frac{1}{8}\) (x - 1)

Multiply through by 8 to clear the fractions

6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side

6x - 18 - 40 = x - 1

6x - 58 = x - 1 ( subtract x from both sides )

5x - 58 = - 1 ( add 58 to both sides )

5x = - 57 ( divide both sides by 5 )

x = - \(\frac{57}{5}\)

Answer:

The scale factor is 1 to 1.3

Step-by-step explanation:

Here, we want to get the scale factor

To get the scale factor, we divide corresponding sides by each other

That, we have that

9/7 = 1.3

The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

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The y-intercept exists reduced by 2 units. Hence there exists a translation of 2 units down.

Let the function be g(z) = 3 sin (TZ).

A vertical stretch by a factor of k indicates that the point (x, y) on the graph of f (x) exists transformed to the point (x, ky) on the graph of g(x), where k < 1.

If k = 1, then the same graph we get, and if k > 1 we get a vertically shrink graph.

In our question, there exists a vertical stretch of 2. This means the new graph would have points as (x, y/2)

i.e. instead of f(x) = y, we have now f(x) = y/2

So transformation is g(x) = 3f(x)

The y-intercept exists reduced by 2 units. Hence there exists a translation of 2 units down.

Therefore, the correct answer is option C.

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To find the estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective, we need to find the probability of getting NNNNN as the first five patients. Since the success rate is 0.3 and the failure rate is 0.7, the probability of getting NNNNN is:

0.7 x 0.7 x 0.7 x 0.7 x 0.7 = 0.16807

Therefore, the estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective is 0.16807.

To find the estimated probability that the medicine will be effective on exactly three out of four randomly selected patients, we need to count the number of ways we can select three patients out of four and multiply it by the probability of getting EEE and NEEE for the selected patients and non-selected patients, respectively. The number of ways to select three patients out of four is:

4C3 = 4

The probability of getting EEE and NEEE for the selected patients and non-selected patients, respectively, is:

(0.7)^3 x (0.3) x (0.7) = 0.1029

Therefore, the estimated probability that the medicine will be effective on exactly three out of four randomly selected patients is 4 x 0.1029 = 0.4116 (rounded to 4 decimal places).

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Answer:

Step-by-step explanation:

Here you go mate

Step 1

2x-y  Equation/Question

Step 2

2x-y  Evaluate for x and y

2(3)-10

Step 3

2(3)-10  Simplify

6-10

answer

-4

Hope this helps

The numbers are 8 and 24.

Let the smaller number be x.

Larger number = 3x

Therefore, the expression will be:

3x - 10 = x + 8

Collect like terms

3x - x = 8 + 10

2x = 18

Divide

x = 18/2

x = 9

The bigger number will be:

3x = 3 × 8 = 24

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Answer: Answer is in the steps

Step-by-step explanation:

If the system of equations have the same slope and same y-intercepts then it means that they have infinitely many solutions.

if the system of equations have the same slope but different y-intercepts it means that they have no solution because they will never intersect but will always form parallel lines.

If the system of equations have different slopes and different y-intercepts or have same y-intercepts and different slopes it means that they have exactly on solution.

Answer:

the highest amount is heart disease its such high risk to die from it the number would be high.

Step-by-step explanation:

Answer:

397/378=0.971

Step-by-step explanation:

plato/edmentum

Answer:

5 - \(\frac{5}{6}\)

Step-by-step explanation:

(4 \(\frac{3}{8} + \frac{5}{8}\)) - \(\frac{5}{6}\)

(4 \(\frac{8}{8}\)) - \(\frac{5}{6}\)

(5) - \(\frac{5}{6}\)

5 - \(\frac{5}{6}\)

Hope this helps! May I please have brainliest? :)

Answer:

Step-by-step explanation:

simplfied 31/24

factored 1/2 times 31/12

Answer:

29

Step-by-step explanation:

Answer:

Hello! answer: 29

Step-by-step explanation:

10/\2 is just 10 × 10 and 10 × 10 = 100 3/5/\2 is just 3/5 × 3/5 and 3/5 × 3/5 = 9/25 now we can do the math! 100 × 9/25 = 36 and 36 - 7 = 29 So 29 is the answer hope that helps!

Answer:

\(\boxed {t = -1}\)

Step-by-step explanation:

Solve for the value of \(t\):

\(5t + 16 = 6 - 5t\)

-Take \(5t\) and add to \(5t\):

\(5t + 16 + 5t = 6 - 5t + 5t\)

\(10t + 16 = 6\)

-Subtract \(16\) to both sides:

\(10t + 16 - 16 = 6 - 16\)

\(10t = -10\)

-Divide both sides by \(10\):

\(\frac{10t}{10} = \frac{-10}{10}\)

\(\boxed {t = -1}\)

So, the value of \(t\) is \(-1\).

The total volume of the storage space is given by the last option:

s³ +  12 ft³

Remember that the volume of a cube of side length S, is:

V = S³

Here we have two cubes, so we need to find two volumes.

The first one has side length s, so its volume is:

V = s³

The second one has a volume of 12 ft³, the total volumeof the storage space is just the sum of the two volumes above, we will get.

s³ +  12 ft³

That is the correct option.

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Answer:

1. 2

2. 8

3. 1.5

4. 62.83185

5. 18.85

6. 87.96

7. 12.57

8. 1256.64

9. 63.62

10. Half

11. perimeter

12. not sure

Step-by-step explanation:

For nonnormal populations, as the sample size (n) increases, the distribution of sample means approaches a normal distribution.

This is known as the central limit theorem. The central limit theorem states that as the sample size increases, the distribution of sample means becomes more and more normal, even if the original population is not normal. The central limit theorem is a fundamental concept in statistics, as it allows us to use the normal distribution as an approximation for many statistical analyses, regardless of the underlying distribution of the population.

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Answer:

D'' (-4,-6)

E'' (4,0)

F'' (6,-10)

Step-by-step explanation:

When the object is reflected over the y axis, the coordinates (x,y) changes to (-x,y)

so for D (5,-2) -------- D'(-5,-2)

          E (-3,4) -------- E' (3,4)

          F (-5,-6) ------- F'(5,-6)

The image D'E'F' is then translated using (x,y) ------ (x+1 , y-4)

D'(-5,-2) ------ (-5+1,-2-4) ------- D'' (-4,-6)

E' (3,4 ) --------( 3+1 , 4-4) ------- E'' (4,0)

F'(5,-6) --------- ( 5+1, -6-4) ------ F'' (6,-10)

The image points are ;

D'' (-4,-6)

E'' (4,0)

F'' (6,-10)

Solution:

The probability of a sample mean being less than a z value of -1.18 is 0.1190 or 11.90%.

Explanation:

The probability of a sample mean being less than a z value of -1.18 can be found by looking at the z-table or using a calculator with a normal distribution function.

Using the z-table, we find the probability associated with a z-value of -1.18 to be 0.1190. This means that there is an 11.90% chance of a sample mean being less than -1.18 standard deviations from the mean.

Alternatively, using a calculator with a normal distribution function, we can input the z value of -1.18 and find the probability to be 0.1190 as well.

Therefore, the probability of a sample mean being less than a z value of -1.18 is 0.1190 or 11.90%.

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The probability of a sample mean being less than z value -1.18 is 0.1190, or 11.9%

The probability of a sample mean being less than z value -1.18 can be found by looking at a z-table or using a calculator with a normal distribution function.

A z-table is a table that shows the probabilities associated with standard normal distribution, with a mean of 0 and a standard deviation of 1. To find the probability of a sample mean being less than z value -1.18, we look up the value in the z-table.

The value in the z-table that corresponds to -1.18 is 0.1190. This means that the probability of a sample mean being less than z value -1.18 is 0.1190, or 11.9%.


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The Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

What is Boolean expression?

A Boolean expression is an expression or equation that evaluates to true or false. It includes the use of logical operators such as AND, OR, and NOT, as well as comparison operators such as equal to (=), greater than (>), less than (<), and more.

The Boolean expression that is not equivalent to the expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

Let's break down each option and evaluate its equivalence to the given expression:

A. (num < 0) AND (num * -1 = 10)

This expression checks if "num" is negative and if the absolute value of "num" is equal to 10. It does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

B. (num < -10) OR (num = -10)

This expression checks if "num" is less than -10 or if "num" is exactly equal to -10. It also does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

C. (num * -1 > 10) OR (num = -10)

This expression checks if the negative value of "num" is greater than 10 or if "num" is exactly equal to -10. Although it involves the negative value of "num," it represents the condition "num * -1 > 10" when "num" is positive. Therefore, it is equivalent to the given expression.

D. NOT num * -1 < 10

This expression checks if the negative value of "num" is not less than 10. While it involves the negative value of "num," it does not directly represent the condition "num * -1 ≥ 10." Additionally, the use of "NOT" operator flips the condition, which makes it different from the original expression. Hence, it is not equivalent.

Therefore, the Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

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Answer/step-by-step explanation:

2(x + 5) = 3x + 1

2x + 10 = 3x + 1

Subtract 2x from both sides.

10 = x + 1

Subtract 1 from both sides.

9 = x

3y - 4 = 6 - 2y

Add 2y to both sides.

5y - 4 = 6

Add 4 to both sides.

5y = 10

Divide both sides by 5.

y = 2

3(n + 2) = 9(6 - n)

3n + 6 = 54 - 9n

Add 9n to both sides.

12n + 6 = 54

Subtract 6 from both sides/

12n = 48

Divide both sides by 12.

n = 4

parallel option a

its parallel to each other

If we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

This problem can be solved using dynamic programming. Let's define dp[i][j] as the number of combinations of coins using the first i coins to make up an amount j. Then we can use the following recurrence relation:

dp[i][j] = dp[i-1][j] + dp[i][j-coins[i]]

The first term on the right-hand side of the equation corresponds to the case where we don't use the i-th coin, while the second term corresponds to the case where we use the i-th coin at least once. Note that we only need to consider cases where j >= coins[i], because it's impossible to make up an amount less than the value of the i-th coin using that coin.

We can initialize dp[0][0] = 1, because there is exactly one way to make up an amount of zero using no coins. Finally, the answer to the problem is dp[n][amount], where n is the total number of coins.

Here's the Python code:

def change(amount, coins):

   n = len(coins)

   dp = [[0] * (amount+1) for _ in range(n+1)]

   dp[0][0] = 1

   for i in range(1, n+1):

       dp[i][0] = 1

       for j in range(1, amount+1):

           dp[i][j] = dp[i-1][j]

           if j >= coins[i-1]:

               dp[i][j] += dp[i][j-coins[i-1]]

   return dp[n][amount]

For example, if we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

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We need a sample size of at least 665 drivers to estimate the proportion of all drivers exceeding the legal speed limit on the certain stretch of road between Los Angeles and Bakersfield with a margin of error of 0.04 and a 99% confidence level.

To estimate the proportion of all drivers exceeding the legal speed limit on a certain stretch of road between Los Angeles and Bakersfield with a margin of error of 0.04 and a 99% confidence level, we need to use the following formula:

\(n = (Z^2 * p * (1 - p)) / E^2\)

where n is the sample size, Z is the Z-score for the desired confidence level (2.576 for 99% confidence level), p is the estimated proportion of drivers exceeding the speed limit (we don't have an estimate, so we'll use 0.5 for maximum variability), and E is the margin of error we want (0.04).

Plugging in the values, we get:

\(n = (2.576^2 * 0.5 * (1 - 0.5)) / 0.04^2\)

n = 664.92

Therefore, we need a sample size of at least 665 drivers to estimate the proportion of all drivers exceeding the legal speed limit on the certain stretch of road between Los Angeles and Bakersfield with a margin of error of 0.04 and a 99% confidence level.

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

Step-by-step explanation:

Answer:

1056

Step-by-step explanation:

The computation of the area of the rectangle is shown below;

But for that first we have to compute the area of square which is

As we see in the diagram that there are 9 square sides

i.e 1,4,7,8,9,10,14,15 & 18

And, as we know that

Area of Square  is

\(= Side^2\)

\(1^2 = 1\)

\(4^2 = 16\)

\(7^2 = 49\)

\(8^2 = 64\)

\(9^2 = 81\)

\(10^2 =100\)

\(14^2 = 196\)

\(15^2 = 225\)

\(18^2 = 324\)

So, the Total Area is

= 1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324

= 1056

Area of rectangle = 1056  

So, it can come from

\(1056 = 33 \times 32\)

As the area of rectangle is

\(= length \times width\)

Answer:

She can make 2 2/5 of a necklace. Which is 2.4 to the nearest tenth.

Step-by-step explanation: