Let A={n:n∈IN and n≤20} (a) How many subsets does A have? (b) How many proper subsets does A have? (c) How many improper subsets does A have? (d) How many 5-element subsets does A have? (e) How many 5-element subsets of A contain no numbers more than 15? (f) How many 7 -element subsets of A contain 4 even numbers and 3 odd numbers?

The dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units are 150 units x 150 units. This solution yields an area of 22,500 square units.

To find the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units, we can use the concept of optimization. Let's assume that the rectangle has a length of L and a width of W, with a partition dividing it into two smaller rectangles.
Since all the sides (including the partition) sum to 600 units, we can express this mathematically as:
L + W + 2x = 600
where x represents the length of the partition. Rearranging the equation, we get:
L + W = 600 - 2x
The area of a rectangle is given by the formula A = L x W. To find the largest possible area of the rectangle, we need to maximize this function.
Substituting the above equation into the area formula, we get:
A = (600 - 2x - W) x W
Expanding and simplifying, we get:
A = 600W - 2W^2 - Wx
To find the maximum value of A, we can differentiate it with respect to W and set it equal to zero:
dA/dW = 600 - 4W - x = 0
Solving for W, we get:
W = (600 - x)/4
Substituting this value of W back into the equation for A, we get:
A = (600 - x)^2/16
To maximize A, we need to minimize x. Since x represents the length of the partition, this means that the partition should be as small as possible. Therefore, the largest rectangle that can be formed will be a square with sides of 150 units, and the partition will have a length of zero.
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Answer:

B

Step-by-step explanation:

The correct statement(s) regarding error control is b. error correction is used to correct data errors. Error control is the process of detecting errors in data that is transmitted from one system to another, and then correcting the errors to ensure that the data is accurate.

It is important for ensuring that data is transmitted accurately, especially in situations where data loss could have serious consequences.

Here are the explanations to the statements: a. error detection is used to detect data errors, but not to correct them- False. Error detection refers to the process of detecting errors in data, but not correcting them.

b. error correction is used to correct data errors- True. Error correction is used to detect and correct errors in data.

c. error control methods only give us a probability that bit errors can be either detected and/or corrected- False.

Error control methods can both detect and correct errors in data with a high degree of accuracy.d. all statements are correct- False. Only statement b is correct.

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Answer:

infinite solutions

Step-by-step explanation:

2x-6 = 3x+1-X-7

Combine like terms

2x-6 = 3x-x +1-7

2x-6 = 2x -6

subtract 2x from each side

-6 = -6

Since this is a true statement, x can be any real number

Answer:

Correct answer:

$20.40

Step-by-step explanation:

20% off means that the new price of the skirt will be 80% of the original price:

$30(100%  – 20%) = $30(80%)

Converting the percent to a decimal gives:

$30(0.8) = $24.00

There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:

$24(100%  – 15%) = $24(85%)

Again converting the percent to a decimal gives:

$24(0.85) = $20.40

Answer:

5. 7(x - 2) + 1 = -34

7x - 14 + 1 = -34

7x - 13 = -34

7x = -34 + 13

7x = -21

x = -21/7 = -3

6. 10x + 4 - 8x = 2(x - 1)

2x + 4 = 2x - 2

Cancel 2x means this equation has no solution

8. 5(x - 3) + 1 = 5x - 14

5x - 15 + 1 = 5x - 14

5x - 14 = 5x - 14

5x - 5x = -14 + 14

0

9. 2x + 3 = 5x + 3 - 3x

2x + 3 = 2x + 3

2x - 2x = 3 - 3

0

11. x + 2x + 1 = 3x + 5

3x + 1 = 3x + 5

Cancel 3x means this equation has no solution

12. -3 = -2x + 4/-4

-3 × (-4) = -2x + 4

12 = -2x + 4

12 - 4 = -2x

8 = -2x

8/-2 = x

-4 = x

The required scale factor with respect to the pre-image and image is equal to 2.

In Geometry, a scale factor is the ratio of two corresponding side lengths or diameter in two similar geometric figures, which can be used to either vertically or horizontally enlarge or reduce a function representing their size.

In Mathematics, the scale factor of any geometric figure can be calculated by using this mathematical expression:

Scale factor = Dimension of image/Dimension of pre-image

Substituting the given parameters into the scale factor formula, we have the following;

Scale factor = -10/-5 = -4/-2

Scale factor = 2.

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The conclusion based on the confidence interval depends on the specific values of the interval and the level of confidence chosen. However, based on the given statements:

If the confidence interval limits do not include 0, it suggests that the difference between the two fatality rates is statistically significant at the chosen level of confidence. If the limits include 0, then the difference is not statistically significant at that level of confidence. If the confidence interval limits include both positive and negative values, it suggests that the difference between the fatality rates is not statistically significant at the chosen level of confidence. If the limits include only positive or only negative values, it suggests that one group has a statistically higher or lower fatality rate than the other group, respectively.

Therefore, based on the given statement "Because the confidence interval limits include both positive and negative values, it appears that the fatality rate is the same for those not wearing seat belts." It suggests that there is no statistically significant difference in fatality rates between those wearing seat belts and those not wearing seat belts at the chosen level of confidence.

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Answer

\(3.5 x 10^{3}\)

Step-by-step explanation

Answer:

rational

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The red graph is represented by the function:

\(f(x)=x^2\)

And we want the equation of the blue graph.

We can see that the blue graph is simply the red graph shifted 2 units horizontally to the right.

A horizontal transformation is given by:

\(f(x-h)\)

Where h is the number of units we shift (to the right).

Since we shifted two units to the right, h = 2.

So, our new function will be:

\(g(x)=f(x-2)=(x-2)^2\)

Therefore:

\(g(x)=(x-2)^2\)

Our answer is B.

Notes:

A represents a vertical shift of two units downwards.

C (assuming it is x²) represents a vertical shift of two units upwards.

And D (if you let h = -2, then f(x - (-2)) = f(x + 2) = (x + 2)²) is a horizontal shift of two units to the left.

The equation of the blue graph is B. g(x) = (x - 2)².

A graph simply means a diagram that represents the variation of a variable when compared with other variables.

In this case, the red graph is illustrated by f(x) = x². The blue graph in this case is simply the red graph shifted two units horizontally.

Therefore, the equation of the blue graph will be:

= (x - 2)².

In conclusion, g(x) = (x - 2)².

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Answer:

28

Step-by-step explanation:

21 is the price of 3/4

21 : 3 * 4 =

28₹

The following statements are correct :

Property A(Stan):

Security Deposit is not part of Rental Income if it is returned at the end of lease period = $0

In cash basis, any amount received as rent will be taxable regardless if it is earned in that period or not = $1400

$15400

If your tenant pays any of your expenses, those payments are rental income. You may also deduct the expenses if they're considered deductible expenses = $0                                                            

Property B(Dani):

$18000

If security deposit is used for paying rent, then it is part of rental income = $1500

$1600

If your tenant pays any of your expenses, those payments are rental income. You may also deduct the expenses if they're considered deductible expenses = $0

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Answer:

5/6

Step-by-step explanation:

Step 1:  Determine the total number of four-sided shapes:

We know that pentagons are five-sided, triangles are three sides and trapezoids are four-sided.  However, pentagons have at least five sides and therefore we include them since they have at least four sides.  Thus, there are 15 four-sided shapes present among all the shapes Tracy has as 7 + 8 = 15.

Step 2:  Determine the total number of shapes present:

Now we must add up the total number of shapes Tracy has:

7 + 3 + 8

10 + 8

18

Thus, Tracy has a total of 18 shapes.

Step 3:  Divide the total number of four-sided shapes by the total number of shapes to determine probability of picking a four-sided shapes:

15/18

5/6

Thus, the probability that Tracy picks a shape with at least four sides is 5/6.

If this answer is wrong, it is possible that your teacher wants to know the probability of picking a shape with only four sides.  Then you'd write 4/9 as you'd only include the trapezoids since only they have just four sides while the pentagons also have four sides but also an additional side:

Answer:

About 186,000 miles per second.

Step-by-step explanation:

The probability that the first three flips come up heads or the last three flips come up tails is 1/4. Hence the answer is 1/4.

The probability of obtaining heads or tails on each single fair coin flip is 1/2. Because the coin flips are independent, the chance of obtaining a certain sequence of heads and tails is the product of the probabilities of each flip.

We want to know what the probability is that the first three flips will be heads, the last three flips will be tails, or both. This can occur in two ways:

Heads for the first three flips: (1/2) x (1/2) x (1/2)

P(H) = 1/8

The final three flips are all tails: (1/2) x (1/2) x (1/2)

P(T) = 1/8

Because these two occurrences are mutually exclusive, we may combine their probabilities to get the total:

P(H) + P(T) = 1/8 + 1/8 = 1/4

So the probability that the first three flips come up heads or the last three flips come up tails (or both) is 1/4.

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Answer:

question is incorrect no value?

Let's call the number of children who swam at the public pool "x". The number of adults who swam would be 762 - x. The total revenue from the children would be $1.50 per child * x children = $1.50x. The total revenue from the adults would be $2.00 per adult * (762 - x) adults = $2.00(762 - x).

We know that the total revenue was $1268.50, so we can set up an equation:

$1.50x + $2.00(762 - x) = $1268.50

Expanding the equation:

$1.50x + $1524 - $2.00x = $1268.50

Simplifying the equation:

$0.50x + $1524 = $1268.50

Subtracting $1524 from both sides:

$0.50x = -$255.50

Dividing both sides by -0.50:

x = 511

So, there were 511 children who swam at the public pool, and 762 - 511 = 251 adults.

Answer:

49.5

Step-by-step explanation:

11 times 3 is 33 so if you take 33 times 1.5 it is 49.5

Answer:

18

Step-by-step explanation:

for f(3), x = 3

We should use the one where x ≥ 3

f(x) = 2x²

f(3) = 2 * 3²

= 2*9

=18

Answer:

x = 7

Step-by-step explanation:

6x - 9 = 33

6x = 33 + 9

6x = 42

x = 42 / 6

x = 7

6x - 9 = 33

6 x 7 - 9 = 33

42 - 9 = 33

33 = 33

Hope that helps!

Answer: x=7

Step-by-step explanation:

6x-9=33

for x

6x=33+9

6x=42

x=42/6

x=7

for checking put value of x

6*7-9=33

42-9=33

33=33

The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

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Answer:

v = 60 yards

Step-by-step explanation:

In the similar triangles, their corresponding sides are proportional which means they have equal ratios

In triangles IHG and FHJ

∵ Δ IHG ≈ FHJ

∵ Side IH is corresponding to side FH

∵ Side HG is corresponding to side HJ

∵ Side IG is corresponding to side FJ

→ Their ratios are equal

∴ \(\frac{IH}{FH}\) = \(\frac{HG}{HJ}\) = \(\frac{IG}{FJ}\)

∵ IH = 54 yards and FH = 72 yards

∵ IG = v and FJ = 80 yards

→ Substitute them in the first and last ratios above

∴ \(\frac{54}{72}\) = \(\frac{v}{80}\)

→ By using cross multiplication

∴ v × 72 = 80 × 54

∴ 72v = 4320

→ Divide both sides by 72

∴ v = 60 yards

Answer:

Uhh i dont rly know sry

Step-by-step explanation:

Yes, they do form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle.

Yes, the side lengths 4 8 and 10 can form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle. A triangle is defined as a polygon with three sides and three angles, and is one of the basic shapes in geometry. It is also one of the most studied shapes in mathematics due to its wide range of applications. The three angles of a triangle must add up to 180 degrees, and the three sides must satisfy the triangle inequality, meaning that the sum of any two sides must be greater than the third side. Additionally, the interior angles of a triangle are always equal to the sum of two exterior angles. Knowing this, it can be seen that the side lengths 4 8 and 10 can form a triangle, as the sum of any two sides is greater than the third side.

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Answer:

y = 9\(\sqrt{2}\) inches

Step-by-step explanation:

Since the base angles are congruent then the triangle is isosceles with both legs being equal.

Using Pythagoras' identity in the right triangle

y² = 9² + 9² = 81 + 81 = 162 ( take the square root of both sides )

y = \(\sqrt{162}\) = \(\sqrt{81(2)}\) = 9\(\sqrt{2}\)

Answer:

d'accord est-ce moi ou pas la même chose que j'ai fait

Answer:

29.33333... feet per second

Step-by-step explanation:

20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280

105600÷60=1760  You divide 105600 by 60 because there are 60 minutes in an hour

1760 ÷ 60  You divide it by 60 again because there are 60 seconds in a minute

Your answer is 29.33333...

This test is appropriate when the goal is to determine if there is a significant difference in either direction from the claimed average cholesterol level.

The medical assistant should use a two-tailed hypothesis test to analyze whether the average cholesterol level is different from 220 mg/dl.

In a two-tailed hypothesis test, the null hypothesis states that there is no difference between the average cholesterol level and 220 mg/dl. The alternative hypothesis states that the average cholesterol level is different from 220 mg/dl, either higher or lower. Using a two-tailed test allows for the possibility that the average cholesterol level could be either higher or lower than 220 mg/dl. This test is appropriate when the goal is to determine if there is a significant difference in either direction from the claimed average cholesterol level.

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