We used De Morgan's laws to find the complement of the set formed by the intersection of the complement of A and B. We first found the complement of A, then the intersection of this set with B, and finally took the complement of this new set.
Explanation:In set theory, De Morgan's laws relate the intersection and union of sets in a very elegant way. Here, (A' ∩ B)' represents the complement of the set formed by the intersection of the complement of A and B.
First, let's find A'. This is the set of all elements in U that are not in A. U = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 } and A = { 0, 1, 4, 7, 9 } So, A' = { 2, 3, 5, 6, 8 }.
Now, let's find the intersection of A' and B, denoted by A' ∩ B. We have B = { 0, 4, 5, 6, 7 } so A' ∩ B = { 5, 6 }.
Finally, let's find the complement of this set, denoted by (A' ∩ B)'. This is the set of all elements in U that are not in A' ∩ B. So, (A' ∩ B)' = { 0, 1, 2, 3, 4, 7, 8, 9 }.
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The total cost of a tie and a pair of of pants was$87.76. If the price of the tie was $5.64 less than the pair of pants, what was the price of the tie? Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:788
Step-by-step explanation:
Write the number 70,000,000+400,000+10,000+8,000+500+30+9 in word form and standard form
The standard form of the given expression is 70,418,539.
Given that, 70,000,000+400,000+10,000+8,000+500+30+9.
We need to write the given expanded form in word form and standard form.
What are word form and standard form?Standard form is the usual way of writing numbers. One example is 756. This is how we see numbers every day in the grocery, on our phones, on computers, etc.
Expanded form is breaking down the numbers in such a way that you see the value of each number. So, the expanded form of 756 is 700 + 50 + 6.
Word form is when you write a number the way that you read it. When you see the number 756, you write it as “seven hundred fifty-six”.
Now, standard form of the given expression is 70,418,539.
Word form of the given expression is sevety million, four hundred and eighteen thousand, five hundred and thirty nine.
Therefore, the standard form of the given expression is 70,418,539.
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-10d^4 e^3 f^5 ÷ 15d^2 e^2 f
Answer:
transcript
Step-by-step explanation:
dividing by a polinomial
Marty has 2 4/5 quarts of juice. He pours the same amount of juice into 2 bottles how much does he pour into each bottle ?
To know how much Marty pours into each bottle, divide the total juice amount by the number of bottles. His total of 2 4/5 quarts became 14/5 when turned into fifths for easier calculation. Dividing 14/5 by 2, we find that Marty pours 1 2/5 quarts into each bottle.
Explanation:Marty has 2 4/5 quarts of juice. He is trying to equally distribute this juice into 2 bottles. To find out how much juice each bottle will contain, we divide the total amount of juice by the number of bottles.
Given that 1 full quart is made up of 5 fifths, 2 quarts are equivalent to 2x5=10 fifths. Marty has 2 full quarts and 4/5 of a quart, which amounts to 10+4=14 fifths of a quart. So, Marty has 14/5 quarts of juice in total.
If he pours the same amount into 2 bottles, then each bottle will contain half of the total amount. To find this out, we divide the total amount by 2, which gives us 14/5 ÷ 2 = 7/5 quarts. Therefore, Marty pours 7/5 quarts or 1 2/5 quarts of juice into each bottle.
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If you interchange the coordinates of any point in Quadrant 2, in which quadrant would the new point be located?
1573 ÷ 7 equals
plzz help for my hw
I am a graph that records each piece of data above a number line
Answer:
Line plot
Step-by-step explanation:
Consider the provided information.
I am a graph that records each piece of data above a number line
Line plot is a graph that uses marks to record each piece of given data above the number line.
It shows the frequency of data along a number line. Remember it is different from line graph.
The example of line plot is shown in figure below.
a grain of sand has a diameter of 0.049 millimeters how do I write that in words
Alisa’s hair is longer than 6.2 inches. Write the shortest length that alisias hair could be using 2 decimal places
A list of the perfect cubes that are between 100 and 600
,
One third of the candidates for a job were 25 years old or younger. Two sevenths of the candidates were at least 50 years old. If 84 people applied for the job, how many were between 25 and 50?
1/3 * 84 = 28 were under 25
2/7 * 84 = 24 were at least 50
28 + 24 = 52
84-52 = 32 were between 25 and 50
Answer:
32 candidates are between 25 and 50.
Step-by-step explanation:
84 people applied for the job. [tex]\frac{1}{3}[/tex] of the candidates for a job were 25 years old or younger.
[tex]\frac{1}{3}[/tex] of 84 candidates = [tex]\frac{1}{3}[/tex] × 84 = 28 candidates
[tex]\frac{2}{7}[/tex] of the candidates were at least 50 years old.
[tex]\frac{2}{7}[/tex] of 84 candidates = [tex]\frac{2}{7}[/tex] × 84 = 24 candidates
age 25 and below + age 50 above = 28 + 24 = 52 candidates
Candidates between 25 and 50 = 84 - 52 = 32 candidates
32 candidates are between 25 and 50.
Factor the polynomial x^9-y^12
What is the unit form and standard form for 10 x 6 tens
The director of admissions of a small college selected 120 students at random from the new freshman class in a study to determine whether a student's grade
Simplify 72 - 81 - 10 + 4
how do you place each group of decimals in order from greatest to least 0.058, 0.0099, 0.105, 0.02999?
A plane leaves the airport at 2:00 pm and flies south at 160 miles per hour. another plane leaves the same airport at 4:00 pm and flies 11 degrees north of west at 180 miles per hour. at 5:00 pm, what is the distance between the two planes? report your answer with 2 significant figures
which of the following is the missing side length that completes Pythagorean triple below
What is a positive minus a negative
A number greater than 1000 who is prime factorization contains one prime number that does not repeat one prime number that repeat three times and one prime number that repeats twice
What is x in 6x=2x+40
The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $ 6 per pound with some Orange Pekoe tea that sells for $ 4 per pound to get 300 pounds of the new blend. The selling price of the new blend is to be $ 4.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?
you build four scale models of the Empire State Building. The smallest model is 3 centimeters tall. The height of each model is three times the height of the previous model.Write a power to represent the height of the tallest model.Then find the height.
A disco ball is shaped like a sphere with a diameter of 16 inches. To the nearest square inch, what is the surface of the disco ball?
The surface area of the disco ball is approximately 804 square inches.
Explanation:To find the surface area of a sphere, we can use the formula: 4πr², where r is the radius of the sphere. Since the diameter of the disco ball is given as 16 inches, we can find the radius by dividing the diameter by 2. So, the radius will be 8 inches. Plugging this value into the formula, we get:
Surface area = 4π(8)² = 4π(64) = 256π inches². To the nearest square inch, the surface area of the disco ball is approximately 804 square inches.
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The average time a boulder high varsity lacrosse player plays in a game is 30 minutes with a standard deviation of 7 minutes. nolan’s playing time in last week’s game against fairview was 48 minutes. (a) calculate the z-score for nolan’s playing time against fairview. (round your answer to 2 decimal places.)
Solving this problem is pretty straight forward.
We simply use the formula:
z-score = (x – u) / s
where,
x = sample value = 48 minutes
u = mean value = 30 minutes
s = standard deviation = 7 minutes
Therefore,
z-score = (48 minutes – 30 minutes) / 7 minutes
z-score = 2.57
Final answer:
To calculate Nolan's z-score for playing time against Fairview, use the given formula. Nolan's z-score for this game is 2.57.
Explanation:
A: To calculate the z-score for Nolan's playing time against Fairview, use the formula: z = (x - μ) / σ, where x is Nolan's playing time, μ is the average time, and σ is the standard deviation.
B: Substituting the values, z = (48 - 30) / 7 = 2.57. Therefore, Nolan's z-score for playing time against Fairview is 2.57.
compare 9x10^4 and 3x10^2
On comparison 9 x 10⁴ is a larger number than 3 x 10².
To compare 9 x 10⁴ and 3 x 10², we can compare the coefficients (9 and 3) and the powers of 10 (10⁴ and 10²) separately.
Comparing the coefficients: 9 vs. 3
The coefficient 9 is greater than the coefficient 3. Therefore, 9 x 10⁴ is greater than 3 x 10² in terms of the actual value of the numbers themselves.
Comparing the powers of 10: 10⁴ vs. 10²
The power of 10 in 10⁴ is greater than the power of 10 in 10². A larger power of 10 means the number has more zeros. In this case, 10⁴ has four zeros (10,000), while 10² has two zeros (100).
Since 10⁴ has more zeros than 10², it represents a larger value.
Combining both comparisons:
When comparing the entire numbers, 9 x 10⁴ is greater than 3 x 10². The larger coefficient (9) and the larger power of 10 (10⁴) contribute to its greater value.
In summary, 9 x 10⁴ is a larger number than 3 x 10².
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Sergio's internet provider charges its customers $9 per month plus 4¢ per minute of on-line usage. Sergio received a bill from the provider covering a period and was charged a total of $81.40. How many minutes did he spend on-line during that period? (Round to the nearest whole minute, if necessary.)
the absolute value of a number can be positive or negative true or false
Answer: False
Step-by-step explanation:
it’s just false I need points
257.673 rounded to the nearest hundreth
Solve for x. −23(3x−4)+3x=56
Answer: 6/11
Step-by-step explanation:
Open bracket
-69x+92+3x=56
Collect like term
-66x=-36
Divide both side by -66
x=6\11