find the following cardinalities: |{{1,4}, a, b, {{3,4}}, {θ}}|

The ratio of c:d:e is 1:3:2.

To find the ratio, you can multiply the first ratio by the second ratio: 1 * 2 = 2 and 3 * 3 = 9, so the ratio becomes 2:9:6, which can be simplified to 1:3:2.

A ratio is a comparison between two values. To calculate a ratio, divide the first value by the second value. For example, if you have three apples and seven bananas, the ratio of apples to bananas would be 3/7.

You can also simplify a ratio by dividing both values by their greatest common divisor. For example, if the ratio of apples to bananas is 6/14, you could simplify it to 3/7.

It's also possible to express a ratio as a fraction, decimal, or percentage. To convert a ratio to a fraction, simply divide the two values. To convert a ratio to a decimal, divide the numerator by the denominator. To convert a ratio to a percentage, multiply the ratio by 100.

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The rotation of point G to point H is an illustration of a circular movement

The rotation that maps point G to point H is 72 degrees clockwise

From the figure, we have the following parameters:

Number of sections (n) = 5

Angle at the center = 360

The angle of rotation is then calculated as:

Rotation = 360/5

Evaluate

Rotation = 72

Point H is to the left of point G.

This represents a clockwise direction

Hence, the rotation that maps point G to point H is 72 degrees clockwise

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Answer:

72° clockwise

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(-2)= 3x(-2)^2

evaluate:

f(-2)=3x2^2

multiple:

f(-2)=3x4

solution

f(-2)=12

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

From the given table we can find the value of function f(g(0)) is 1.

Given a table of values of x, f(x) and g(x) as under:

x                           f(x)                         g(x)

-2                           4                            -3

-1                           1                            -2

0                            0                            -1

1                            1                              0

2                            4                              1

We  are required to find the value of f(g(0)).

Function is like a relationship between two variables that are written in equal to form. The values that we enter in the function are known as part of domain and the values that we get from the function are known as range.

To find the value of f(g(0)) we need to first find the value of g(0) and then find the value of the function f at the result obtained from g(0).

g(0)=-1

f(-1)=1

Hence from the given table we can find the value of function f(g(0)) is 1.

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Question is incomplete. It should include the given figure.

Answer:

A. True

B. True

C. True

D. False

E. True

F. False

Step-by-step explanation:

An object moving along the x-axis is said to exhibit simple harmonic motion if its position as a function of time varies as

x(t) = x0 + A cos(ωt + φ).

The object oscillates about the equilibrium position x0.  If we choose the origin of our coordinate system such that x0 = 0, then the displacement x from the equilibrium position as a function of time is given by

x(t) = A cos(ωt + φ).

A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction.  Simple harmonic motion is repetitive.  The period T is the time it takes the object to complete one oscillation and return to the starting position.  The angular frequency ω is given by ω = 2π/T.  The angular frequency is measured in radians per second.  The inverse of the period is the frequency f = 1/T.  The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time.  It is measured in units of Hertz, (1 Hz = 1/s).

The velocity of the object as a function of time is given by

v(t) = dx(t)/dt = -ω A sin(ωt + φ),

and the acceleration is given by

a(t) = dv(t)/dt = -ω2A cos(ωt + φ) = -ω2x.

The solution to the inequality is:

x ∈ (-∞, -21].

The correct option is F.

To solve the given inequality, we'll first simplify the expression:

23 < 3x - 3 ≤ -66

To simplify the inequality,

23 < 3x - 3 ≤ -66

Adding 3 to all parts of the inequality:

23 + 3 < 3x - 3 + 3 ≤ -66 + 3

Simplifying:

26 < 3x ≤ -63

Next, divide all parts of the inequality by 3:

26/3 < 3x/3 ≤ -63/3

Simplifying:

8.67 < x ≤ -21

Therefore, the solution to the inequality is:

x ∈ (-∞, -21]

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Answer:

10/12 +4/3b

Step-by-step explanation:

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Answer:

J

Step 1. Find slope

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

-4/4

m = -1

Step 2. Write equation

y - 3 = -1 (x + 2)

y = -x -2 + 3

y = -x + 1

Answer:

Step-by-step explanation:

First find the slope:

\(\frac{-4}{4} =-1\)

This immediately rules out all answers but J.

Answer:

-3/2

Step-by-step explanation:

Can I get brainliest

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, we have that:

The probability of one quote being chosen at least two times is given by:

\(P(X \geq 2) = 1 - P(X < 2)\)

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351\)

\(P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321\)

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328\)

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

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Answer:

Yes

Step-by-step explanation:

3 cubed is \(3^3\\\) which is the same as 3x3x3

Reason:- 3³ = 3×3×3 which gives 27

So your answer is Yes

The bn is the absolute value of this term: bn = |a_n| = (2n / (n+3))

First, we can rearrange the terms in the series to group the positive and negative terms together:

− 2 / 4 + 4 / 5 − 6 / 6 + 8 / 7 − 10 / 8 + ...

= (-2/4 + 4/5 - 6/6 + 8/7 - 10/8 + ...) + (0 + 2/4 + 0 - 4/5 + 0 + 6/6 - 0 - 8/7 + 0 + 10/8 - ...)

= -1/2 + (2/4 - 4/5 + 6/6 - 8/7 + 10/8 - ...)

Now we can focus on the series inside the parentheses. We can see that the numerators are alternating, with each term increasing by 2: 2, -4, 6, -8, 10, ....

This suggests we can use the alternating series test to determine convergence.

The alternating series test tells us that if a series has alternating terms that decrease in absolute value and approach 0, then the series converges. In this case, the absolute values of the numerators are increasing, but the denominators are also increasing, so we need to look at the ratio of consecutive terms:

|a_{n+1} / a_n| = |(n+1) * 2 / ((-1)^n * n)|

As n gets larger, the numerator increases while the denominator does not, so the ratio approaches infinity. This means the terms do not approach 0, so the alternating series test does not apply.

Instead, we can take the limit of the absolute value of the terms:

\(lim n- > inf |a_n| / n = lim n- > inf (2n / n^2) = 0\)

Since the limit of the absolute value of the terms approaches 0, and the terms alternate signs, we can use the alternating series test to conclude that the series converges.

To find bn, we need to identify the general term of the series, which is:

\(a_n = (-1)^(n+1) * 2n / (n+3)\)

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Using the binomial probability relation, the probability of the following events are :

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

Probability of exactly 5 :

P(x = 5) = 8C5 × 0.75^5 × 0.25^3

P(x = 5) = 0.2076

2.) Probability of selecting more than 5 :

P(x > 5) = p(6) + p(7) + p(8)

Using a binomial probability calculator :

P(x > 5) = 0.6785

3.)

Probability at most 5 :

P(x ≤ 5) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)

Using a binomial probability calculator :

P(x ≤ 5) = 0.3215

Therefore, the probability of selecting at most 5 is 0.3215

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Answer:

Alex filled 6 7 of his binder.

Step-by-step explanation:

For a circle with a diameter of 10 cm, the circumference would be C = π(10) = 31.4 cm. The correct option is (D) 31.4 cm.

The circumference of a circle can be calculated using the formula           C = πd, where C represents the circumference and d represents the diameter of the circle.

We have the diameter of the circle is 10 cm, we can substitute this value into the formula:

C = π * 10 cm

Calculating the circumference using an approximate value of π as 3.14:

C ≈ 3.14 * 10 cm

C ≈ 31.4 cm

Therefore, the circumference of a circle with a diameter of 10 cm is approximately 31.4 cm.

The correct answer is D) 31.4 cm.

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Answer:

21:1

Step-by-step explanation:

840/40 = 21

Every teacher has 21 atusents

For every 21 stutent theare is  1 teacher

40 teachers .Every teacher 21 students  40 x 21 = 840

Answer:

C. (3,015÷s)-186

Step-by-step explanation:

Sana makatulong

Pi written as 3.l4 and π in mathematics is the ratio for the diameter of a circle to the circumference of that circle. The value is unending

Pi, which is represented by the Greek letter p, or, is a shorthand for the ratio of a circle's diameter to its circumference. No matter how big the circle is, this ratio will always be equal to pi. The value of pi is about 3.14 in decimal notation.

We are to multiply Pi to any equation

let the equation be (20.5 + 3x)\(\pi\)

pi is represented in numbers by 3.14

Hence we would have the equation to be of the form

(20.5 + 3x)3.14

multiply through the bracket

64.37 + 9.42x

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Given:

Total number of scholars = 60

Fraction of scholars doing Woah = 1/12

Fraction of scholars doing flossing = 2/3

Fraction of scholars dabbing = 4/30

The rest of the scholars are doing the Orange Justice.

To find the number of scholars doing Orange Justice, let's first find the number doing Woah, Sare Flossing and dabbing.

Number doing Orange Justice = Total - Woah - Sare Flossing - Dabbing =

60 - 5 - 40 - 8 = 7

Therefore, 7 scholars are doing the Orange Justice.

ANSWER:

7

a. The women's height that corresponds to a z-score of -1.10 is 64.35 inches. c. z-score = 3.33. Evelyn Akhator is taller compared to her peers (women) than Draymond Green is compared to his peers (men).

a. To find the women's height corresponding to a z-score of -1.10, we can use the formula:

X = μ + (z × σ)

where X is the height, μ is the mean, z is the z-score, and σ is the standard deviation.

For women's heights:

μ = 66 inches

σ = 1.5 inches

z = -1.10

X = 66 + (-1.10 × 1.5)

X = 66 - 1.65

X = 64.35 inches

Therefore, the women's height that corresponds to a z-score of -1.10 is 64.35 inches.

b. To compare the heights of Evelyn Akhator and Draymond Green to their respective peers, we need to calculate the number of standard deviations each player's height is from their gender's mean.

For Evelyn Akhator:

Height = 75 inches

μ (mean for women) = 66 inches

σ (standard deviation for women) = 1.5 inches

z-score for Evelyn Akhator = (Height - μ) / σ

z-score = (75 - 66) / 1.5

z-score = 6

For Draymond Green:

Height = 79 inches

μ (mean for men) = 69 inches

σ (standard deviation for men) = 3 inches

z-score for Draymond Green = (Height - μ) / σ

z-score = (79 - 69) / 3

z-score = 3.33

Comparing the z-scores, we can see that Evelyn Akhator has a z-score of 6, which is significantly higher than Draymond Green's z-score of 3.33. This means that Evelyn Akhator is taller compared to her peers (women) than Draymond Green is compared to his peers (men).

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Answer:

PSM and N S L are adjacent toaPSL

The weight of an adult male blue whale is 22.1 times greater than the weight of an adult male African elephant.

In accordance with the context of this question, the weight is the quantity of mass associated to an object or animal under the influence of gravity, which means that weight is a measure of how "heavy" an animal or an object is. According to databases, the weight of an adult blue whale is approximately 200 tonnes, that is, 2 × 10⁵ kilograms.

Now we find the ratio of the weight of an adult blue whale to the weight of an adult African elephant is defined by the following division:

r = (2 × 10⁵ kilograms) / (9.07 × 10³ kilograms)

r = (2 / 9.07) × (10⁵ ⁻ ³) kilograms

r = 221 × 10⁻³ × 10²

r = 221 × 10⁻¹

r = 22.1

The weight of an adult male blue whale is 22.1 times greater than the weight of an adult male African elephant.

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The equation that represents the equal distribution of ' d ' dumplings among Eli and Ana is -

x = nd/2.

Unitary method is used to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given is a situation in which Eli and Ana are having dinner. They both have same number of dumplings to eat and each dumpling container contains 'd' dumplings.

Let's assume that there are 'n' containers of dumplings and both Eli and Ana got 'x' number of dumplings. Now -

In 1 container we have - 'd' dumplings

In 'n' containers, we will have -  n × d   dumplings.

Both Ana and Eli got same number of dumplings = x.

Therefore -

x + x = n × d

2x = nd

x = nd/2

Therefore, the equation that represents the situation is -

x = nd/2

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The scale factor was applied to the first diamond is 2.5

From the question, we have the following parameters that can be used in our computation:

The diamonds

The scale factor is calclated as

scale factor = Diamond 2/Diamond 1

Substitute the known values in the above equation, so, we have the following representation

scale factor = 1.5/0.6

Evaluate

scale factor = 2.5

Hnce, the scale factor is 2.5

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Answer:

b

Step-by-step explanation:

i just took it on edge

Line c is a transversal of lines a and b. The blank space filled by b

According to the question blank statement is to be filled.
Line c intersects lines a and b. Line d intersects lines a and b
In the diagram, line c is a transversal of lines a and _____

A line is the shortest distance between two points or a straight curve with zero deflection in it.

Here,
If c intersects line a and line b, then line c is the transversal line for both a and b.

Thus, line c is a transversal of lines a and b.

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