show me the venn diagram
Answers
Step-by-step explanation:
A Venn diagram, also called primary diagram, set diagram or logic diagram, is a diagram that shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. The points inside a curve labelled S represent elements of the set S, while points outside the boundary represent elements not in the set S. This lends itself to intuitive visualizations; for example, the set of all elements that are members of both sets S and T, denoted S ∩ T and read "the intersection of S and T", is represented visually by the area of overlap of the regions S and T.[1][2] In Venn diagrams, the curves are overlapped in every possible way, showing all possible relations between the sets. They are thus a special case of Euler diagrams, which do not necessarily show all relations. Venn diagrams were conceived around 1880 by John Venn. They are used to teach elementary set theory, as well as illustrate simple set relationships in probability, logic, statistics, linguistics, and computer science.
Venn diagram showing the uppercase glyphs shared by the Greek, Latin, and Cyrillic alphabets
A Venn diagram in which the area of each shape is proportional to the number of elements it contains is called an area-proportional (or scaled Venn diagram).
Related Questions
b. Rewrite 4 x 63 as the product of a unit fraction and a whole number.
Solve.
Answers
Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6
How to multiply fractions?The parameters are given as:
Number - 4
Fraction - 3/6
The following steps can be used to determine the product as the product of a whole number and a unit fraction:
Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.
Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.
Step 3 - Write the given expression.
4 * 3/6
Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.
4 * 3 * 1/6
Step 5 - Simplify the above expression.
12 * 1/6
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Two cars leave the same point at the same time travelling in opposite directions. one car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
Answers
It will take 3.5 hours for the two cars to be 280 miles apart.
To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.
Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:
Relative velocity = Velocity of car traveling east + Velocity of car traveling west
Relative velocity = 60 mph + 20 mph
Relative velocity = 80 mph
The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.
To find the time it takes for them to be 280 miles apart, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 280 miles / 80 mph
Time = 3.5 hours
Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.
During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.
The sum of these distances is indeed 280 miles, confirming the result.
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Pablo solved the polynomial equations given in the table. Determine whether each polynomial is correct. Select Correct or Incorrect for each equation.
Equation
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
(12c-8c²)+(5c²- 10c) = -3c²+2c
Answers
The first equation is incorrect.
The second equation is correct.
The third equation is correct.
Let's go through each equation and determine whether it is correct or incorrect:
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
To determine if this equation is correct, we need to simplify both sides and check if they are equal.
On the left side:
(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9
On the right side:
-8b² + 14b - 9
Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
Again, we need to simplify both sides of the equation and check if they are equal.
On the left side:
(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5
On the right side:
-3a² + 13a + 5
Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.
(12c-8c²)+(5c²- 10c) = -3c²+2c
Again, let's simplify both sides and compare them.
On the left side:
(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c
On the right side:
-3c² + 2c
Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.
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If 3 and 4 are the legs of a right triangle, the hypotenuse is_____.
Answers
If 3 and 4 are the legs of a right triangle, the hypotenuse is 5.
What is the Pythagorean Theorem?In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
The theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, sometimes called the Pythagorean equation
\(\sf a^2+b^2=c^2\)
Given the question above, we need to find the hypotenuse if 3 and 4 are the legs of a right triangle.
So,
\(\sf a^2+b^2=c^2\)
\(=\sf 9+16=25\)
\(\sf \sqrt{25}=5\)
Hence, the hypotenuse is 5 if 3 and 4 are the legs of a right triangle.
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If I put 8 black checkers and 8 white checkers into a bag, what is the probability that I can choose 2 white checkers?
Answers
Answer:
¼
Step-by-step explanation:
There are 16 checkers in all so it would be
8/16 × 8/16 = ¼
What is the area of the rhombus shown below ^
Answers
Answer:
4672.5
Step-by-step explanation:
Formula: p*q / 2 or 1/2 pq
Answer:
A = 4672.5 mm^2
Step-by-step explanation:
The area of a rhombus given the diagonals is
A = 1/2 pq where p and q are the diagonals
A = 1/2 ( 89) * 105
A = 4672.5 mm^2
The ecology class would like to create a circular vegetable garden to grow various organic fruits and vegetables.
One sector of the garden will need a special type of soil for growing blueberries. The students would like to put a
rock barrier between the blueberries and other vegetables to designate the area. The area of the sector of
blueberries is 247 ft2, and the central angle is - 600. Find the length of the rock barrier (i.e., the radius of the
circle).
A. r = 2 ft
B. r = 8.48 ft
C. r= 12 ft
D. r= 144 ft
Answers
Answer:
4
Step-by-step explanation:
i got it correct
Answer:
c) r=12 ft
Step-by-step explanation:
i got it wrong and it said this was the correct answer
20) Jermaine's goal is to eat 25 grams of protein each day. If Jermair meets his goal, how many grams of protein will he have eaten after 30 days
Answers
Answer:750 grams
Step-by-step explanation:
25*30=250 grams after 30 days
Coupons driving visits. A store randomly samples 603 shoppers over the course of a year and nds that 142 of them made their visit because of a coupon they'd received in the mail. Construct a 95% con dence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.
Answers
Answer:
The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
For this problem, we have that:
\(n = 603, \pi = \frac{142}{603} = 0.2355\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694\)
The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
You started a dog walking business. You spent $37 in start up costs and charge $12 per hour of dog walking. How many hours must you walk to reach $107?
Which equation represents the situation?
$12-$37h=$107
$37+$12h=$107
$37h+$12=$107
$12h-$37=$107
Answers
Answer:
$12h-$37=$107
Step-by-step explanation:
multiply the amount of hours by 12 for money. But don't forget to the startup costs that will have to be subtracted from the finances before the final answer. The amount of hours you will have to do is 111.
Dwane has a collection of stamps. He arranges them in 5 rows with 6 stamps in each row. 25 of the stamps are a rare edition. How many rare edition stamps does Dwane have?
Answers
Answer:
Dwane has 25 rare edition stamps, or 5/6.
Step-by-step explanation:
The question is basically answered in the problem.
It says, "25 of the stamps are a rare edition."
And the question is, "How many rare edition stamps does Dwane have?"
So, 25 is the answer.
Hope this helps!
what is 7,750 divided by 155?
Answers
Answer:
50
Step-by-step explanation:
7,750÷155=50
PLEASE HELP WILL MARK BRAINLIEST..Write a polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots.
x= -2, x=7
P(x)=
Answers
A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14
What is a polynomial function?A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.
A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.
x= -2, x=7
Given,
P(x) = 0
This polynomial function has the roots,
x= -2, x=7
So,
(x+2)(x-7)
We have to multiply both of them we get,
P(x)=(x+2)(x-7)
0=x²-5x-14
x²-5x-14=0
Therefore, P(x)=x²-5x-14 is the polynomial function.
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Leslie is making these two recipes. Which takes
longer to make, the strawberry bread or the
spaghetti sauce? How many minutes longer
Answers
Based on the information in the image, we can infer that the recipe that takes the longest is the one for spaghetti sauce.
How to identify the recipe that takes the longest?To find the recipe that takes the longest we must take into account the information of each of the recipes. In this case, we have preparation time and cooking time. To know the total time we must add these two values.
Additionally, we must establish a magnitude to be able to relate all the values, in this case the most appropriate would be the number of minutes.
So, the preparation of the spaghetti sauce takes 10 minutes and its cooking takes an hour and a half, that is, 90 minutes. On the other hand, strawberry bread takes 20 minutes to prepare and 55 to cook:
10 + 90 = 100 minutes20 + 55 = 75 minutesAccording to the above, the spaghetti sauce takes longer because it takes 25 minutes longer than the strawberry bread.
Note: This question is incomplete. Here is the complete information:
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Need helpppp ! tyyy
Answers
Answer:
63°
Step-by-step explanation:
Both angle 3 and 2 are equal because of the property of vertically opposite angles.The temperature at sunrise was -2 degrees Fahrenheit. The temperature at sunset was 18 degrees warmer than it was at sunrise. What was the temperature at sunset?a) -20 degrees Fahrenheitb) -16 degrees Fahrenheitc) 20 degrees Fahrenheitd) 16 degrees Fahrenheit
Answers
Explanation
We are told that the temperature at sunrise was -2 degrees Fahrenheit
If the temperature at sunset was 18 degrees warmer
find the slope of (5,-6) and (-1,8)
Answers
the slope is -14/6 or the simplified version is -7/3
If 23 is a subtract from a number, the result is -8. Find the numbers
Answers
Answer:
15
Step-by-step explanation:
Step 1:
x - 23 = - 8 Equation
Step 2:
x = - 8 + 23 Add 23 on both sides
Answer:
x = 15
Hope This Helps :)
Sia is swinging from a chandelier. The horizontal distance between Sia and the wall, in meters, is modeled by D(t) where t is the time in seconds. The function is graphed below, along with one segment highlighted.
Answers
In the given graph, it is visible that Sia is swinging from a chandelier. The horizontal distance between Sia and the wall, in meters, is modeled by D(t) where t is the time in seconds. The function is graphed below, along with one segment highlighted.
The highlighted segment shows that Sia is moving away from the wall from the time interval 1.5 to 2.5 seconds. During this time interval, the horizontal distance between Sia and the wall is increasing. After 2.5 seconds, the horizontal distance remains constant, which indicates that Sia reached a maximum horizontal distance from the wall.Sia's motion is periodic and can be modeled by the cosine function. A cosine function is the horizontal displacement of a point moving in a circle with uniform angular velocity with respect to time. In the given graph, the horizontal distance of Sia from the wall is a periodic function with a period of 4 seconds. The amplitude of the cosine function is the maximum horizontal distance from the wall, which is approximately 3 meters from the graph. The cosine function passes through the origin, indicating that the initial position of Sia is at the wall.In conclusion, the graph represents the horizontal distance between Sia and the wall, where Sia is swinging from a chandelier. The horizontal distance is a periodic function with a period of 4 seconds, modeled by a cosine function. The maximum horizontal distance from the wall is approximately 3 meters, and Sia's initial position is at the wall.For such more question on velocity
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PLLLLLZZZZZ HEEEEEELP
leaves on deciduous trees turn bright colors in the fall due to:
a
Chemicals in the leaf
b
nutrients getting cut off by the tree to the leaves
c
Cold weather
d
too much water
Answers
Answer:
a i think
Step-by-step explanation:
Factor 21x^2 - 14x - 56
Answers
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
Which of the following equations will produce the graph shown below?
A. x^2 = 8y
B. x^2= -8y
C. x-1/8y^2= 0
D. y= 1/2x^2
Answers
Answer: The correct answer is C
x-1/8y^2=0
Step-by-step explanation: i took the test and got it right
complete the following statements. in general, % of the values in a data set lie at or below the 70th percentile. % of the values in a data set lie at or above the 20th percentile.. if a sample consists of 600 test scores, of them would be at or below the 86th percentile. if a sample consists of 600 test scores, of them would be at or above the 62th percentile.
Answers
If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.
What is percentile?A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.
Given that,
In general, 70 % of the values in a data set lie at or below the 70th percentile.
20 % of the values in a data set lie at or above the 20th percentile.
Generally percentile defines the percentage of a data set that is below or at a value that is being considered.
Hence the percentage of the values of a data set that lies below or at the 16th percentile is 16%
Also the values of a data set that lies below or at the 24th percentile is 24%
Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of 600 which is mathematically represented as:
K = \(\frac{86}{100}\) × 600
K = 516 test scores
Given a sample of 600 test scores , the number number of test scores that will be above the 62 th percentile is (100 - 62 = 38 )% of 600 which is mathematically represented as:
a = \(\frac{38}{100}\) × 600
a = 228 test scores.
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Which function has the same minimum value as ? f(x) = 3x 3 f(x) = |x| 3 f(x) = –x2 3
Answers
The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.
What is a function?It should be noted that a function simply means a relation or expression that involves two or more variables.
In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.
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Answer:b
Step-by-step explanation:
What is the measure of the missing angle?
40°
75°
Answers
180-115=65
65°
Answer:
65
Step-by-step explanation:
40+75=115
180-115=65
If this is an triangle
Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°
Answers
The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.
Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.
Therefore, the intercepted arcs AD and CD have equal measures.
Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.
Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
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Teresa got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 18
cents per yard. If after that purchase there was $25.68 left on the card, how many yards of ribbon did Teresa buy?
Answers
Price used=30-25.68=4.32
Per yard price=0.18$Now
No of yards
\(\\ \sf\longmapsto \dfrac{4.32}{0.18}\)
\(\\ \sf\longmapsto 24yards\)
A coin is tossed four times. Each time the result H for heads or T for tails is recorded. An outcome of HHTT means that heads were obtained on the first two tosses and tails on the second two. Assume that heads and tails are equally likely on each toss.
a. How many distinct outcomes are possible? b. What is the probability that exactly two heads occur? c. What is the probability that exactly one head occurs?
Answers
a) There are 16 possible outcomes.
b) The probability that exactly two heads occur is 37.5%
c) The probability that exactly one head occurs is 25%
We toss a coin 4 times, each with two possible outcomes: heads and tails.
Use the multiplication rule:
2×2×2×2= 16
Thus there are 16 possible outcomes.
Let us first list all 16 possible outcomes.
abcd represents a possible outcome with a the outcome of the first toss, b the outcome of the second toss, c the outcome of the third toss, and d the outcome of the fourth toss.
Let H be heads and T be tails.
{HHHH, HHHT,HHTH ,HHTT ,HTHH ,HTHT,HTTH,HTTT, THHH,THHT,THTH,THTT,TTHH,TTHT,TTTH,TTTT }
We are interested in the outcomes that have exactly two heads:
HHTT,HTHT,HTTH,THHT,THTH,TTHH
We then note that 6 of the 16 possible outcomes contain exactly two heads.
The probability is the number of favorable outcomes divided by the number of possible outcomes:
P =6/16=3/8=0.375= 37.5%
We are interested in the outcomes that have exactly one head:
HTTT, THTT, TTHT, TTTH
We then note that 4 of the 16 possible outcomes contain exactly one head.
The probability is the number of favorable outcomes divided by the number of possible outcomes:
P =4/16=1/4=0.25= 25%
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Find the time it takes for $940,000 to double when invested at an annual interest rate of 18%, compounded continuously.
Answers
1)
Principal : 940,000
Future Value : 1,880,000
i= 18% = 0.18
Compounded Continuously
2) Let's use the formula for Compounded Interest, to express this exponential growth.
\(undefined\)Consider the function shown on the graph. Complete the statements to make them true
Answers
Answer:
Domain: x ≥ -5
Range: y ≥ -2
Step-by-step explanation:
The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.
Therefore:
✅Domain: x ≥ -5
The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.
Therefore:
✅Range: y ≥ -2