Which figure can not be mapped onto itself by a rotation of less than 360 degrees?

-square
-trapezoid
-regular hexagon
-regular pentagon

Answer:

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Step-by-step explanation:

There can be a total of 6300 different snacks created using 2 types of dried fruits, 1 granola bar, and 2 packs of nuts.

We have,

To determine the number of snacks that can be created with the given options, we need to calculate the combinations of the different components.

Number of options for granola bars: 5

Number of options for dried fruits: 8 (selecting 2)

Number of options for packs of nuts: 10 (selecting 2)

To calculate the total number of snacks, we multiply the number of options for each component together:

Total number of snacks = Number of options for granola bars × Number of options for dried fruits × Number of options for packs of nuts

Total number of snacks = 5 × C(8, 2) × C(10, 2)

Here, C(n, r) represents the combination of choosing r items from a set of n items.

Evaluating the combinations:

C(8, 2) = 8! / (2! x (8-2)!) = 8! / (2! x 6!) = (8 x 7) / (2 x 1) = 28

C(10, 2) = 10! / (2! x (10-2)!) = 10! / (2! x 8!) = (10 x 9) / (2 x 1) = 45

Substituting these values back into the equation:

Total number of snacks = 5 × 28 × 45 = 6300

Therefore,

There can be a total of 6300 different snacks created using 2 types of dried fruits, 1 granola bar, and 2 packs of nuts.

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Answer:

the answer is clear

Step-by-step explanation:

you have to get the answer by completing the answer

a. The probability that a sample of 10 people has a mean glucose level less than 84.5 is 47.48%. b. The probability that a sample of 100 people has a mean glucose level less than 84.5 is or 42.07%.

To calculate the probabilities in this scenario, we will use the properties of the normal distribution and the central limit theorem. The central limit theorem states that for a large sample size, the distribution of the sample mean approaches a normal distribution, even if the underlying population distribution is not normal. In both cases, we can use the z-score formula to find the probabilities.

a. For a sample of 10 people:

The mean of the sample mean is equal to the population mean, which is 85. The standard deviation of the sample mean (also known as the standard error) is given by the population standard deviation divided by the square root of the sample size: 25/sqrt(10) ≈ 7.9057.

To find the probability that the sample mean is less than 84.5, we calculate the z-score:

z = (84.5 - 85) / 7.9057 ≈ -0.0634

Using a standard normal distribution table or a calculator, we find that the probability corresponding to a z-score of -0.0634 is approximately 0.4748, or 47.48%.

b. For a sample of 100 people:

Similarly, the mean of the sample mean is still 85, but the standard deviation of the sample mean (standard error) is now 25/sqrt(100) = 2.5.

To find the probability that the sample mean is less than 84.5, we calculate the z-score:

z = (84.5 - 85) / 2.5 = -0.2

Using the standard normal distribution table or a calculator, we find that the probability corresponding to a z-score of -0.2 is approximately 0.4207, or 42.07%.

Therefore:

a. The probability that a sample of 10 people has a mean glucose level less than 84.5 is approximately 0.4748, or 47.48%.

b. The probability that a sample of 100 people has a mean glucose level less than 84.5 is approximately 0.4207, or 42.07%.

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Answer:

1/6

Step-by-step explanation:

Add all the toys together: 6 + 5 + 4 + 3 = 11 + 7 = 18

There's 18 toys in total, 3 out of 18 of the toys are teddy bears so it's 3/18 but u have to check if u can simplify it, which u can. 3/18 simplified is 1/6, we can't simplified it anymore so 1/6 is ur answer

Answer: Probability of teddy = 1/6

Step-by-step explanation:

6 + 5+ 4 + 3 = 18

Probability of teddy = ?

teddy = 3

3/18

to the lowest term -  1/6

The true statement is each additional text message costs $0.12, and the monthly fee is $5.99. (option C).

The equation provided is known as a linear equation. A linear equation is an equation that has one variable that is raided to the power of one.

The general form of a linear equation is:

c = ax + b

Where:

The slope measures the rate of change. In this question, the slope would be the cost of the additional messages. This would be 0.12. The constant would be the monthly fee. This is because it remains the same regardless the number of messages sent.

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Answer:

8nx- 7p-6x is your answer .

The maximum possible number of elements in set B is 62.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

The universal set is A consisting of the primary one hundred positive integers.

Now, Set B is a subset of A.

Set B might be made up of the first 62 positive numbers, for example.

Only then is 123 the largest number that can be formed by adding all the components of set B.

Set B contains 62 items altogether.

Additionally, we can carefully swap out one or more pieces from set B and add them to its complement.

In the majority of these cases, set B may have 62 elements.

Therefore, we get the number of elements in set B will be 62.

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Answer:

Change in X over Change in Y

Step-by-step explanation:

The slope is represented by the change in Y over the change in X. Therefore, the third answer is not correct because the proportion is incorrect.

Answer:

-3x+4y=-16

Step-by-step explanation:

The correct option of the given question is option (c)  fissure.

When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.

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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.

In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.

The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.

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The correct option is A) No, because the center of a distribution and the spread are not related

The standard deviation is a measure of the spread or dispersion of a set of data. It is not directly related to the mean or average of the data.

The standard deviation is calculated based on the deviations of each data point from the mean, taking into account how many data points there are.

The mean does not affect the calculation of the standard deviation, as the formula for standard deviation is based solely on the data itself and not on any summary statistics like the mean.

The value of the standard deviation can remain the same even if the mean changes, and conversely, the mean can change without affecting the standard deviation.

Thus, option A) No, because the center of a distribution and the spread are not related is correct.

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Answer:

Relation.

Step-by-step explanation:

The numbers are on repeat

Answer:

Yes

Step-by-step explanation:

None of the coordinates share the same y value which means it pases the vertical line test.

The integer that represents the balance owed on the credit card is -257.

The process of subtracting one number from another is known as subtraction.

Given that, the person owns $225 on the credit card.

The balance owed on a credit card is represented by a negative sign, therefore, the balance on the credit card is.

-255

The balance after making a $55 payment is,

-255 + 55

Now, the balance after purchasing stuff of $87 is,

-255 + 55 + 87

= -257

Hence, the integer that represents the balance owed on the credit card is -257.

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To create a pattern with exactly 2 lines of symmetry using the given shape and shading in two more squares, follow these steps:

1. Identify the center of the shape, where the lines of symmetry will intersect.
2. Shade in one square on the left side of the center, maintaining equal distance from the center and any existing shaded squares.
3. Shade in another square on the right side of the center, mirroring the position of the square you shaded in step 2.

Now, your pattern will have 2 lines of symmetry: one vertical line going through the center, and one horizontal line going through the center. The symmetry of the pattern is achieved by having equal distribution of shaded squares on both sides of these lines.

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Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

To find the values of a and b, we can use the given points p(3,0) and q(-3,4) on the line ax+by=6. Substituting the coordinates of p into the equation, we get 3a + 0b = 6, which simplifies to 3a = 6.

Dividing both sides by 3 gives a = 2. Substituting the coordinates of q, we get -3a + 4b = 6. Substituting the value of a we found, -6 + 4b = 6, which simplifies to 4b = 12. Dividing both sides by 4 gives b = 3. Therefore, the values of a and b are 2 and 3, respectively.

Given two points on the line, we substitute their coordinates into the equation ax + by = 6. This gives us two equations: 3a + 0b = 6 and -3a + 4b = 6. Simplifying these equations, we find a = 2 and b = 3. Therefore, the line equation is 2x + 3y = 6.

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Answer:

In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Step-by-step explanation:

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The missing value in the table below is 343. The correct option is A.

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given table if closely observed forms a geometric progression, this is because the value of the dependent variable, y is increasing by a common ratio. The common ratio in the table is,

Common ratio = y₂/y₁ = 1/(1/7) = 7

Now, for any geometric progression, the value of the nth term is given as,

Tₙ = a₁ (r)⁽ⁿ⁻¹⁾

where a₁ is the first term of the geometric progression and r is the common ratio. Therefore, the nth term of the series is,

T = a₁ (r)⁽ⁿ⁻¹⁾

Tₙ = (1/7) (7)⁽ⁿ⁻¹⁾

y = (1/7)(7)⁽ˣ⁻¹⁾

Now, the value of the y when the value of x is 5 is,

y = (1/7)(7)⁽ˣ⁻¹⁾

y = (1/7)(7)⁽⁵⁻¹⁾

y = (1/7)(7)⁴

y = (1/7) × 2401

y = 343

Hence, the missing value in the table below is 343.

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First, let's calculate the Profit functions which is P(x)=R(x)-C(x)

Let's continue simplifying the function

The profit function is a polynomial function, so the domain is all the real numbers which means x can be any real number

Domain=(-∞,∞)

Calculating x=-10 doesn't make sense because x in all the functions is the number of items, and doesn't make sense to have -10 items, so x shouldn't be negative numbers.

And Calculating x=1000 doesn't make sense either because the problem says "The maximum capacity of the company is 110 items" so if we have x=1000 we are exceeding the limit of items that the company can handle.

Now let's calculate the profit when producing 40 and 50 items (we just need to evaluate those values in the function):

The profit when the company produces 50 items is 500 and the profit when the company produces 40 items is 550.

The company should choose to produce 40 items because is a higher profit in contrast to making 50 items.

According to the function, when we replace the values in X we can see that the term (X^2) grows more than the term X and as you can see the term X^2 is negative which decreases the final result of the profit. Another way to see this is by drawing the function

As you can see the function is a parable and when the number of items "X" is very high the function tends to decrease. The function starts to grow in profit until 40 items (when you find the maximum value of profit) and then the profit function decreases.

Answer:

n = 9

Step-by-step explanation:

5(n-3) = 30

Expand the brackets. (Multiply n by 5 then multiply -3 by 5.)

5n-15 = 30

Isolate 5n.

5n = 30+15

Evaluate.

5n = 45

Find n.

n = 45 ÷ 5

n = 9

Answer:

n = 9

Step-by-step explanation:

1) divide both sides by 5 to cancel it out

       (n-3=6)

2) add 3 to each side to cancel out the -3

       (n=9)

You could factor the 5 to get 5n-15=30 but dividing by 5 just makes the number easier

After 12 days, 4.2 grams of curium-243 remains will be left in a sample with 5.6 grams after 12 days.

Given that,

The half-life of curium-243 is 28.5 days.

We have to find how many grams of curium-243 will be left in a sample with 5.6 grams after 12 days.

We know that,

The formula is

A(t) = A₀(1/2\()^{t/h}\)

Here,

t= 12 days, half life,

h =28.5 days .

And the initial value, A(0)=5.6 grams

So we will get

A(t) = 5.6(1/2\()^{12/28.5}\)

A(t) = 5.6×0.747 = 4.2 grams

Therefore, After 12 days, 4.2 grams of curium-243 remains will be left in a sample with 5.6 grams after 12 days.

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If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.

An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.

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Answer:

Step-by-step explanation:

2 hours is 2 hours * (1 hour/ 1 hour) = 2 hours. 45 minutes is 45 minutes * (1 hour / 60 minutes) = 45/60 hours = 0.75 hours.

The unit vector that has the same direction as -5i + 9j is (-5/106)i + (9/106)j.

To find a unit vector with the same direction as a given vector, we need to:

To find a unit vector with the same direction as -5i + 9j, we need to divide this vector by its magnitude:

For the vector -5i + 9j, the magnitude is:

\(| -5i + 9j | = sqrt((-5)^2 + 9^2) = sqrt(106)\)

To find a unit vector in the same direction, we divide the vector by its magnitude:

\((-5i + 9j) / | -5i + 9j | = (-5/106)i + (9/106)j\)

So, the unit vector that has the same direction as -5i + 9j is (-5/106)i + (9/106)j.

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The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

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The probability of drawing one blue cube and one yellow cube from the bag is 2/25 or 8%.

Determine the total number of cubes in the bag.

There are a total of 2 yellow cubes + 1 red cube + 1 blue cube + 1 green cube = 5 cubes in the bag.

Determine the number of ways to draw one blue cube and one yellow cube.

To draw one blue cube and one yellow cube, we need to consider the number of ways to choose one blue cube out of the two available blue cubes and one yellow cube out of the two available yellow cubes. The number of ways can be calculated using the multiplication principle.

Number of ways to choose one blue cube = 2

Number of ways to choose one yellow cube = 2

Using the multiplication principle, the total number of ways to draw one blue cube and one yellow cube = 2 x 2 = 4.

Determine the total number of possible outcomes.

The total number of possible outcomes is the total number of ways to draw two cubes from the bag, with replacement. Since we put the cube back into the bag after each draw, the number of possible outcomes remains the same as the total number of cubes in the bag.

Total number of possible outcomes = 5

Calculate the probability.

The probability of drawing one blue cube and one yellow cube is given by the number of favorable outcomes (4) divided by the total number of possible outcomes (5).

Probability = Number of favorable outcomes / Total number of possible outcomes = 4 / 5 = 2/25 or 8%.

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