Given P(A)=0.40,P(B)=0.46, and P(A∩B)=0.14, find: (a) (10 points) P(A∪B) (b) (10 points )P( A
∪B)

A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees.

Area of a square is measured in square units. The area of a square equals d22 square units when the diagonal, d, is known. For instance, a square with sides that are each 8 feet long is 8 8 or 64 square feet in area (ft2)

A square is a common polygon with four equal sides and angles that are each 90 degrees in length.

A square is a four-sided polygon with sides that are all the same length and angles that are all exactly 90 degrees. The square's shape ensures that both parts are symmetrical if it is divided down the middle by a plane. Then, each half of the square seems to be a rectangle with diagonal sides.

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Answer:

C.

Step-by-step explanation:

Your answer is C because that is where the lines meet.

Answer:

it 1/2,4

Step-by-step explanation:

The solution of the equation 3z minus 2 is equal to 46 is 16.

The given equation '3z minus 2 is equal to 46' can be written as

    3z - 2  =   46

Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:

   3z = 46  + 2

   3z =  48

   z = 48/3

   z = 16

The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.

Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.

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The probability that Mike was born on the same day as Mary is weak.

An event can be categorized to have a high probability if its probability is above 60%. When an event has a probability between 41% and 60%, the event may occur about half of the time However, when a probability of an event is below 40%, the event is unlikely to happen and have a relatively small probability.

This is because there are 31 days in the month of August, and only one of those days is August 12. Therefore, the probability that Mike was born on the same day as Mary is:

P(12) = 1/31

P(12) = 3.22% --> a very small probability.

So the correct answer is A. Weak.

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Answer:

See below

Step-by-step explanation:

GCF of 36 and 4   is    welllll,    just  4

so 36 - 4    =     4*9 - 4 =   4 ( 9-1)       ( I THINK that is what goes here)

Answer:

i dont know sorry

Step-by-step explanation:

Answer:

P=2(length+width)

the length is 4.1 cm more than the width: l=4.1+w

61=(2(4.1+w+w))

61=8.2+2w+2w

61-8.2=4w

4w=52.8

w=13.2

Answer:

14 46\14

Step-by-step explanation:

p=L+W

p=61

L=4.1

W=?

61=4.1+W

61=4.1W

61\4.1=4.1\4.1

=14 46\14

The weight fraction distribution of the polymer sample suggests a polydispersity index of 979/225, with xₙ and x both equal to 5.

xₙ, x, and the polydispersity index is calculated by determining the values of k, xₙ, and x based on the given weight fraction distribution.

First, we consider the weight fractions for each x-mer:

w₁ = k(1)³ = k

w₂ = k(2)³ = 8k

w₃ = k(3)³ = 27k

w₄ = k(4)³ = 64k

w₅ = k(5)³ = 125k

Since the sum of all weight fractions should be equal to 1, we set up the following equation:

w₁ + w₂ + w₃ + w₄ + w₅ = 1

k + 8k + 27k + 64k + 125k = 1

225k = 1

Solving for k:

k = 1/225

Now, we find the xₙ and x values. The weight fraction distribution is given by the equation wₓ = kx³.

For xₙ, we find the highest x value for which the weight fraction is non-zero. In this case, we see that w₅ = 125k, which is non-zero. Therefore, xₙ = 5.

For x, we find the x value at which the weight fraction distribution reaches its peak. We determine this by finding the maximum weight fraction among all x-mer fractions. In this case, we observe that w₅ = 125k is the highest weight fraction. Therefore, x = 5.

Finally, we calculate the polydispersity index (PDI). The polydispersity index is defined as the ratio of the weight average molecular weight (Mw) to the number average molecular weight (Mn). It is calculated using the following formula:

PDI = Mw / Mn

In our case, we express Mw and Mn using the weight fraction distribution:

Mw = Σ(wₓ * x) = w₁ * 1 + w₂ * 2 + w₃ * 3 + w₄ * 4 + w₅ * 5

= k * 1 + 8k * 2 + 27k * 3 + 64k * 4 + 125k * 5

= k + 16k + 81k + 256k + 625k

= 979k

Mn = Σ(wₓ) = w₁ + w₂ + w₃ + w₄ + w₅

= k + 8k + 27k + 64k + 125k

= 225k

Substituting the values of k from earlier:

Mw = 979 * (1/225)

Mn = 225 * (1/225)

PDI = Mw / Mn

= (979/225) / (225/225)

= 979/225

Therefore, the polydispersity index (PDI) is 979/225, and xₙ = 5 and x = 5 based on the given weight fraction distribution.

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Answer:

395.8 cm³

Step-by-step explanation:

H=14       D=6

r=3

V=πr² h

V=\(\pi\)(3)²(14)

V=395.840674352

Answer:

-41.1 feet

Step-by-step explanation:

-32.5-8.6=-41.1

1/2=0.5

3/5=6/10=0.6

The given quadrilateral is a trapezoid, because the figure has exactly one pair of parallel sides.

We have,

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points.

Given is a figure of a quadrilateral, we need to identify what is the type of the quadrilateral,

The options are given about parallelograms and trapezoids,

So, it can not be a parallelogram because, in parallelograms both the pairs of opposite sides are congruent and equal, but here sides are uneven, so it is not a parallelogram.

Now, according to the definition of a trapezoid, it is a type of quadrilateral which have exactly one pair of parallel sides,

In the figure also the quadrilateral is having exactly one side parallel.

Hence, the given quadrilateral is a trapezoid, because the figure has exactly one pair of parallel sides.

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complete question:

Which name accurately describes the figure shown below and why?

help quick

A. parallelogram, because the figure has two pairs of parallel sides

B. parallelogram, because the figure has exactly one pair of parallel sides

C. trapezoid, because the figure has two pairs of parallel sides

D. trapezoid, because the figure has exactly one pair of parallel sides

Answer:

9 boxes cost Rs 405

Step-by-step explanation:

1 box costs 45.

so, how much are 2 boxes ? what do you think ?

right, twice as much : 2 × 45 = 90

how much are 3 boxes ?

now it is three times the cost of 1 box : 3 × 45 = 135

do you see the pattern ?

it is really simple.

that is also the origin why we describe a multiplication by "times". we take a single item so and so many times.

when you see something like this, you know, they are talking about multiplication.

so, here we want to know how much 9 boxes cost.

therefore,

9 × 45 = 405

is the answer.

No, we cannot conclude at the 5% level of significance that the mean diameter is not 5 inches. To determine whether we can conclude that the mean diameter is not 5 inches, we need to perform a hypothesis test.

Let's define our null and alternative hypotheses:

Null hypothesis (H0): The mean diameter is equal to 5 inches.

Alternative hypothesis (H1): The mean diameter is not equal to 5 inches.

Next, we calculate the sample mean and sample standard deviation of the given data. The sample mean is the average of the measurements, and the sample standard deviation represents the variability within the sample.

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Answer:

Step-by-step explanation:

11

To find the probability of having 7 or fewer successes in 11 trials with a probability of success of 0.2, we can use the binomial probability formula. The probability, Pr(X <= 7), is calculated as 0.982.

Explanation:

Given a binomial random variable with a probability of success of 0.2 and 11 independent trials, we want to find the probability of having 7 or fewer successes. To calculate this, we sum up the probabilities of having 0, 1, 2, 3, 4, 5, 6, and 7 successes.

Using the binomial probability formula, the probability of having exactly x successes in n trials with a probability of success p is given by:

P(X = x) = (n choose x) * p^x * (1 - p)^(n - x)

For this problem, p = 0.2, n = 11, and we need to calculate Pr(X <= 7), which is the sum of probabilities for x ranging from 0 to 7.

Calculating the individual probabilities and summing them up, we find that Pr(X <= 7) is approximately 0.982 when rounded to three decimal places.

Therefore, the probability of having 7 or fewer successes in 11 trials with a probability of success of 0.2 is 0.982.

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Answer:

12.04

Step-by-step explanation:

the distance between two points in the x-axis

15-3 = 12

the distance between two points in the y-axis

7-6=1

using Pythagorean theory

a²+b²=c²

12²+1²=c²

144+1=c²

145=c²

√145=√c²

12.04=c

Answer:

Step-by-step explanation: If the sides are a,b,c (in ascending order) and c squared = the sum of the squares of a and b, then it's a right triangle.

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Right triangle fulfill the pythagorean theorem:

\(a^2+ b^2 = c^2\)

Where, c is the hypothenuse or the longest side, and b and a are the remaining two sides.

\(12^{2} = 144\\16^2 = 256\\256 + 144 = 400\\\sqrt {400} = 20 \neq 18\)

The greatest possible value for n(AUB) can be determined by finding the union of sets A and B, considering the maximum number of elements that can be in the union.

The notation n(A) represents the number of elements in set A. Given that n(U) = 16, it indicates that the universal set U contains 16 elements. Set A has 7 elements, and set B has 12 elements. To find the greatest possible value for n(AUB), we consider the maximum number of elements that can be in the union. The union of two sets combines all the elements from both sets without duplicating any common elements.

In this case, the greatest value for n(AUB) occurs when all the elements from both sets A and B are combined without duplication. Therefore, the greatest value for n(AUB) is the total number of elements in both sets A and B, which is 7 + 12 = 19.

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Answer:

5

Step-by-step explanation:

2 +2 = 5

by mistake

Answer:

4

Step-by-step explanation:

The change in electric potential energy of an alpha particle is:

1.3V/cm

"Information available from the question"

In a region where there is a uniform electric field, the potential, v1, is 1. 3 v at position y1=26 cm.

At position y2=28 cm , the potential, v2, is 3. 9 v.

Now, According to the question:

Calculation of magnitude:

Since  V1 is 1.3 V at position y1=26 cm. At position y2=28 cm, the potential, V2, is 3.9 V

So, We know that

\(E =\frac{V_2-V_1}{Y_2-Y_1}\)

\(E=\frac{3.9-1.3}{28-26}\)

\(E=\frac{2.6}{2}\)

E = 1.3V/cm

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Answer:

12.566

12.6 (simplified to the tenths)

12.57(simplified to the hundredths)

Step-by-step explanation:

The diameter of a circle is always double of the radius

π is always ≈ 3.14

π * 2^2 = π * 4  ≈ 12.566

Answer:

A. 500 yards

Step-by-step explanation:

By the Pythagorean Theorem:

\( \sqrt{ {3}^{2} + {4}^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5\)

The distance from the park to Anita's house is 5 blocks, which is

5 blocks × 100 yards/block = 500 yards.

Answer:

A. 500 yards

Step-by-step explanation:

1 block = 100 yards

one leg: 4*100= 400 yards

second leg: 3*100= 300 yards

hypotenuse:

pythagorean theorem

hypotenuse ^2 = (one leg)^2 + (second leg)^2

hypotenuse ^2= (400)^2 + (300)^2

hypotenuse ^2 = 160,000 + 90,000

hypotenuse = sqrt(250,000)

hypotenuse = 500 yards

The smallest possible value of the perimeter of a triangle with one side given can be obtained when the other two sides are minimized. In this case, the other two sides should be as small as possible to minimize the perimeter. Therefore, the smallest possible value of the perimeter of the triangle would be equal to twice the length of the given side.

1. Let's assume that one side of the triangle is 'x'. The other two sides can be represented as 'y' and 'z'.

2. To minimize the perimeter, 'y' and 'z' should be as small as possible.

3. In this case, the smallest possible value for 'y' and 'z' would be zero, which means they are degenerate lines.

4. The perimeter of the triangle would then be 'x + y + z' = 'x + 0 + 0' = 'x'.

5. Therefore, the smallest possible value of the perimeter would be equal to twice the length of the given side, which is '2x'.

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Equity is generally defined as the difference between the value of a company’s assets and its liabilities, and is typically expressed as a dollar amount.

The formula for equity is: Equity = Assets - Liabilities To calculate equity, you would first need to calculate the value of all of the company’s assets, such as cash, investments, inventory, property, and equipment. Then, you would need to calculate the value of all of the company’s liabilities, such as accounts payable, short and long-term debt, and any other financial obligations. Once the value of the assets and liabilities have been calculated, the difference between them is the company’s equity. For example, if a company has total assets of $4,000 and total liabilities of $2,500, the equity can be calculated as follows :Equity = Assets - Liabilities Equity = $4,000 - $2,500  Equity = $1,500

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a) The observables A1 and A2 are compatible, and the simultaneous eigenstates are |00⟩ and |11⟩.

b) To measure the observable H, apply the procedure of measuring A1 and A2 sequentially.

c) By applying the procedure, the results, probabilities, and final states will coincide with those obtained in the previous exercise for the Ψ state.

d) If H had an eigenvalue of multiplicity 3 and another simple, the problem in sections b) and c) could still be solved using the same procedure.

a) The observables A1 and A2 are compatible because they share simultaneous eigenstates. The eigenstates can be found by solving the equations A1|ψ⟩ = λ1|ψ⟩ and A2|ψ⟩ = λ2|ψ⟩. For A1, the eigenvalues λ1 = 0 and λ1 = 1 correspond to the eigenstates |00⟩ and |11⟩, respectively. For A2, the eigenvalues λ2 = 0 and λ2 = 1 correspond to the eigenstates |00⟩ and |11⟩, respectively. Thus, the simultaneous eigenstates of A1 and A2 are |00⟩ and |11⟩.

b) To measure the observable H using the given restrictions, we can use a sequential measurement approach. First, measure A1 to obtain the outcome 0 or 1. If the outcome is 0, the state collapses to |00⟩. If the outcome is 1, proceed to measure A2. If the outcome is 0, the state collapses to |01⟩. If the outcome is 1, the state collapses to |11⟩. By applying this procedure, we can measure the observable H.

c) By applying the above procedure to measure H, we obtain the same results, probabilities, and final states as in the previous exercise for the Ψ state. This is because the simultaneous eigenstates of A1 and A2 (|00⟩ and |11⟩) are the same as the eigenstates of H.

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The vertex of the Quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

The vertex of a quadratic function given the y-intercept and x-intercept, we need to determine the axis of symmetry, which is the line that passes through the vertex. The x-coordinate of the vertex will be the midpoint between the x-intercepts, while the y-coordinate will be the same as the y-intercept.

Given that the y-intercept is (5, 0) and the x-intercept is (0, 80), we can determine the x-coordinate of the vertex by finding the midpoint of the x-intercepts. The x-coordinate of the midpoint is simply the average of the x-values:

x-coordinate of vertex = (0 + 0) / 2 = 0 / 2 = 0

Since the y-coordinate of the vertex is the same as the y-intercept, the vertex will have the coordinates (0, 0).

Therefore, the vertex of the quadratic function is (0, 0).

In conclusion, the vertex of the quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

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Based on the given options, the linear inequality that represents the graph below is C. y ≥ -3x + 1

To determine the correct option, we need to analyze the characteristics of the graph. Looking at the graph, we observe that it represents a line with a solid boundary and shading above the line. This indicates that the region above the line is included in the solution set.

Option A, y > (-3/6)x + 1, does not accurately represent the graph because it describes a line with a slope of -1/2 and a y-intercept of 1, which does not match the given graph.

Option B, y ≥ x + 1, also does not accurately represent the graph because it describes a line with a slope of 1 and a y-intercept of 1, which is different from the given graph.

Option D, y > x + 1, is not a suitable representation because it describes a line with a slope of 1 and a y-intercept of 1, which does not match the given graph.

Only Option C. y ≥ -3x + 1.

This is because the graph appears to be a solid line (indicating inclusion) and above the line, which corresponds to the "greater than or equal to" relationship. The equation y = -3x + 1 represents the line on the graph.

Consequently, The linear inequality y -3x + 1 depicts the graph.

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The equation of the line that is perpendicular to y = 1/2x - 6 and that passes through the point (-4, -5) is y = -2x + 3

From the question, we are to determine the equation of the line that is perpendicular to the given line and that passes through the given point.

The given equation is y = 1/2x - 6

The given point is (-1, 5)

NOTE: If two lines are perpendicular, then their slopes are negative reciprocals of each other

First, we will determine the slope of the given line

y = 1/2x - 6

Compare to the general form of an equation of a straight line

y = mx + b

Where m is the slope

and b is the y-intercept

Therefore,

The slope of the line is 1/2

But,

The negative reciprocal of 1/2 is -2

Thus, the slope of the equation we are to determine is -2

Now, we will determine the equation of the line that has a slope of -2 and that passes through the point (-1, 5)

Using the point-slope form of the equation of a straight line

y - y₁ = m(x - x₁)

Then,

y - 5= -2(x - (-1))

y - 5 = -2(x + 1)

y - 5 = -2x -2

Add 5 to both sides of the equation

y - 5 + 5 = -2x - 2 + 5

y = -2x + 3

Hence, the equation of the line is y = -2x + 3

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Answer:

C po

Step-by-step explanation:

sana maka tulong po sayo

Answer:

\(f(x)=\displaystyle \frac{6}{x}=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)

Step-by-step explanation:

Recall the formula for Taylor Series:

\(\displaystyle f(x)=f(c)+f'(c)(x-c)+\frac{f''(c)(x-c)^2}{2!}+\frac{f'''(c)(x-c)^3}{3!}+...+\frac{f^n(c)(x-c)^n}{n!}=\sum^\infty_{n=0}\frac{f^n(c)}{n!}(x-c)^n\)

Determine the derivative function fⁿ(c):

\(\displaystyle f(c)=\frac{6}{c}=\frac{6}{1}=6\\ \\f'(c)=-\frac{6}{c^2}=-\frac{6}{1^2}=-6\\ \\f''(c)=\frac{12}{c^3}=\frac{12}{1^3}=12\\\\f'''(c)=-\frac{36}{x^4}=-\frac{36}{1^4}=-36\\\\....\\\\f^n(c)=6(-1)^{n}n!\)

Therefore, the infinite series can be written as:

\(\displaystyle f(x)=\frac{6}{x}=\sum^\infty_{n=0}\frac{6(-1)^nn!}{n!}(x-1)^n=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)