a box contains 16 green marbles and 12 white marbles. if the first marble chosen was a white marble, what is the probability of choosing, without replacement, another white marble? express your answer as a fraction or a decimal number rounded to four decimal places.

Answer:

$10.64

Step-by-step explanation:

20% out of $53.18 is $10.636 rounded to $10.64

a. The probability P(X < 10) is U(0, 50) is 0.20.

b. The probability P(X > 595) is U(0, 1,000) is 0.405.

c. The probability P(21 < X < 49) is U(19, 68) is 0.4762.

a. For a uniform continuous distribution U(0, 50), the probability of an event X < 10 can be calculated by dividing the length of the interval [0, 10] by the length of the entire interval [0, 50]. Since the lengths of both intervals are equal, the probability is 10/50 = 0.20.

b. Similarly, for a uniform continuous distribution U(0, 1,000), the probability of an event X > 595 can be calculated by dividing the length of the interval [595, 1,000] by the length of the entire interval [0, 1,000]. The length of the interval [595, 1,000] is 1,000 - 595 = 405, and the length of the entire interval is 1,000 - 0 = 1,000. Thus, the probability is 405/1,000 = 0.405.

c. For a uniform continuous distribution U(19, 68), the probability of an event 21 < X < 49 can be calculated by dividing the length of the interval [21, 49] by the length of the entire interval [19, 68]. The length of the interval [21, 49] is 49 - 21 = 28, and the length of the entire interval is 68 - 19 = 49. Therefore, the probability is 28/49 = 0.5714.

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For a, the inverse of the relation R is R^-1 = {(1, 0), (2, 0), (3, 0), (2, 1), (3, 1), (3, 2)}. For b, the inverse of the function y = ex is y = ln(x). For c, the transitive closure of the relation R = {(0, 1), (1, 2), (2, 3)} is {(0, 1), (1, 2), (2, 3), (0, 2), (1, 3)}.

a. R = {(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)}

To compute the inverse of relation R, we need to swap the elements of each ordered pair. The inverse relation, denoted by R^-1, will have the reversed order of elements in each pair.

R^-1 = {(1, 0), (2, 0), (3, 0), (2, 1), (3, 1), (3, 2)}

For example, the ordered pair (0, 1) in R becomes (1, 0) in R^-1. Similarly, (0, 2) becomes (2, 0), (0, 3) becomes (3, 0), (1, 2) becomes (2, 1), (1, 3) becomes (3, 1), and (2, 3) becomes (3, 2).

The inverse of the relation R = {(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)} is R^-1 = {(1, 0), (2, 0), (3, 0), (2, 1), (3, 1), (3, 2)}.

b. To find the inverse of the function y = ex, we need to solve for x.

Explanation and calculation:

Let's start with the given equation: y = ex.

To find the inverse, we'll swap the x and y variables and solve for the new y.

x = ey

Now, we'll isolate y by taking the natural logarithm (ln) of both sides:

ln(x) = ln(ey)

Using the property of logarithms that ln(ex) = x, we have:

ln(x) = y

Therefore, the inverse of the function y = ex is y = ln(x).

The inverse of the function y = ex is y = ln(x), where ln represents the natural logarithm.

c. Let A = {0, 1, 2, 3} and the relation R = {(0, 1), (1, 2), (2, 3)}.

To find the transitive closure of R, we need to include all possible pairs (a, c) where a and c are elements of A and there exists an element b such that (a, b) and (b, c) are both in R.

Starting with the given relation R, we can observe that (0, 1) and (1, 2) are both present. Therefore, we can add (0, 2) to the relation.

Next, we have (1, 2) and (2, 3) in R. Thus, we can include (1, 3) in the relation.

Finally, the transitive closure includes all the pairs from the original relation R and the pairs we obtained through transitivity.

Transitive closure of R = {(0, 1), (1, 2), (2, 3), (0, 2), (1, 3)}

The transitive closure of the relation R = {(0, 1), (1, 2), (2, 3)} is {(0, 1), (1, 2), (2, 3), (0, 2), (1, 3)}.

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The corrected input/output table shows the function values at each x-coordinate, and the graph of the function will have a horizontal shift of 3 units to the left.

It seems Kate made a mistake in determining the horizontal shift of the graph. To correct her mistake, we can analyze the vertex form of the quadratic function g(x) = -(x + 3)² + 2.
The vertex form of a quadratic function is given by g(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. In this case, we have g(x) = -(x + 3)² + 2. To match the vertex form, we can rewrite this as g(x) = -1(x - (-3))² + 2.
From this, we can see that the vertex is at V(-3, 2), not V(3, 2). This means the graph has a horizontal shift of 3 units to the left, not right. The other transformations are correct: the graph opens downwards due to the negative sign, and there is a vertical shift of 2 units up.
Now, let's create the input/output table for g(x):
X | g(x)
-6 | 5
-5 | 0
-4 | -1
-3 | 2
-2 | -1
-1 | 0
0 | 5
1 | 12
2 | 21
3 | 32
4 | 45
5 | 60
So, the corrected input/output table shows the function values at each x-coordinate, and the graph of the function will have a horizontal shift of 3 units to the left.

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The statement 'Revenue management methodology was originally developed for the banking industry.' is False.

The revenue Management is an analytics technique.

This technique is used to predict consumer behavior at the micro-level, which is ultimately useful in optimizing the product availability and pricing and maximize revenue growth.

This methodology is used by companies in certain industries, particularly those with fixed costs and capacity and products or services that expire.

It is the operational procedures and practices that maximize revenues without creating additional products or services.

Therefore, The statement 'Revenue management methodology was originally developed for the banking industry.' is False.

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Answer:

4 pack priced at £2.04 is the better pack

Step-by-step explanation:

2.04/4=£0.51 per roll

4.68/9=£0.52 per roll

I think the 9pack is better

I hope it was helpful to you

Answer: Her mistake is that she would have to make each piece 167.2 inches long to have 5 equal pieces.

Step-by-step explanation:

7 * 5 ≠ 836

836/5 = 167.2

Answer:

brooo you dummm lol 4

Step-by-step explanation:

Answer:

4 :P hava gud day

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

First you need to calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. All of the points add up to 10. Then you divide that number by how many points there are which is 5 and you get 2.

Hope that helps. =)

Answer:

the answer is 2

Step-by-step explanation:

hoped I helped

Rounding to the nearest tenth, the orange's volume is approximately 464.7 cubic centimeters.

Here, we have,

To find the volume of the orange, we can use the formula for the volume of a sphere:

V= 4/3 πr³

where r is the radius of the sphere.

Given that Sarah measures the radius of the orange as 4.8 cm, we can now calculate the volume:

V= 4/3 π (4.8)³

V= 4/3 π (110.592)

V≈ 4/3 ×110.592×3.14159

V≈464.65 cubic centimeters

Rounding to the nearest tenth, the orange's volume is approximately 464.7 cubic centimeters.

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The interest estimated by compounding methods are-

(a) Annual: n = 1; CI = $860

(b) Semiannual: n = 2; CI = $862.

(c) Monthly: n = 12; CI = $865

(d) Daily: n = 365; CI = $855

The formula for computing the compound interest is -

CI = A - P

A = P(1 + r/100nt)∧rt

In which,

(a) Annual: n = 1

A = 10,400(1 + 8/500)∧5

A = 10,400 x 1.08

A = 11,260

CI = 11,260 - 10,400

CI = $860

(b) Semiannual: n = 2

A = 10,400(1 + 8/1000)∧10

A = 10,400 x 1.089

A = 11,262

CI = $862.

(c) Monthly: n = 12

A = 10,400(1 + 8/6000)∧60

A = 10,400 x 1.083

A = 11,265

CI = $865

(d) Daily: n = 365

A = 10,400(1 + 8/182500)∧1825

A = 10,400 x 1.0832

A = 11,255

CI = $855

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The range of g is {1, 2, 3, 4}. Here, h that are mapped to y so h^-1 (y) = {4}. g is not a bijection, while h is a bijection since it maps each element in its domain to exactly one element in its codomain.

The range of g is {1, 2, 3, 4} since the function maps the set {a, b, c} to each of the four elements of the range.

h^-1 (y) is the set of elements in the domain of h that are mapped to y by the function h. In this case, we can see that h(4) = y, so h^-1 (y) = {4}.

To determine whether g or h is a bijection, we need to check whether each element in the codomain is mapped to by exactly one element in the domain.

Since g maps the set {a, b, c} to each of the four elements of the range {1, 2, 3, 4}, it cannot be a bijection because more than one element in the domain is mapped to each element in the codomain.

On the other hand, since each element in the domain of h is mapped to exactly one element in the codomain {w, v, x, y}, and each element in the codomain is mapped to by exactly one element in the domain, h is a bijection.

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Answer:

the first one ithink

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer: The complement is Q, the set of the rational numbers.

Step-by-step explanation:

Ok, here we can use the fact that the set of all the real numbers is equal to the union of the set of the rational numbers and the set of the irrational numbers. (Remember that Q, the rational numbers, also does include the set of the integer numbers))

Then, if the universal set is R, we have that the universal set is:

R = Q + I

Where Q = set of rational numbers and I = set of irrational numbers.

Then, the complement of the set A =  I = irrational numbers, is equal to:

R - I = Q + I - I = Q

Then the set of the rational numbers is the complement of the set A.

Answer:

x=64

Step-by-step explanation:

0=1/8x-8

8=1/8x

8/1/8=1/8x/1/8

x=64

Answer: A

Step-by-step explanation:

To add fractions, we want to make sure there is a common denominator. After that, we can add the numerator.

\(\frac{8}{z^2+6z+9} +\frac{5}{z^2-9}\)                 [factor denominator]

\(\frac{8}{(z+3)(z+3)} +\frac{5}{(z+3)(z-3)}\)      [multiply first fractioni by z-3 and second by z+3]

\(\frac{8(z-3)}{(z+3)^2(z-3)} +\frac{5(z+3)}{(z+3)^2(z-3)}\)   [distribute by FOIL]

\(\frac{8z-24}{(z+3)^2(z-3)} +\frac{5z+15}{(z+3)^2(z-3)}\)   [add]

\(\frac{13x-9}{(z+3)^2(z-3)}\)

This is the same as A. Therefore, A is our answer.

Answer:

Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption

Answer:

multiply

Step-by-step explanation:

It says for you to multiply.

Answer:

Multiplication...

Product means to multiply

Answer:  What the hell is this. I don’t understand a word

Step-by-step explanation:

The expectation value of the position squared when the particle in the box is in its third excited state is equal to \(\frac{9l^2}{8}\), where l is the length of the box. This is equal to nine-eighths of the length of the box squared.

The expectation value of the position squared when the particle in the box is in its third excited state can be calculated using the formula\(\langle x^2 \rangle = \frac{l^2}{8} \left( 2n^2 + 6n + 3 \right)\),

where n is the quantum number of the state and l is the length of the box. Here, n is 3, so the expectation value is equal to

\(\frac{l^2}{8} \left( 2 \times 3^2 + 6 \times 3 + 3 \right) = \frac{9l^2}{8}\).

This can be written as nine-eighths of the length of the box squared.

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Example of an undecidable problem is given by the problems in the system created by computer viruses.

According to the computability theory, the problems that needs either yes or no answer, but it is not possible by any computer programming languages to create exact answer then this computational problem is termed as undecidable problems.

A decidable problem is a decision problem in the computer system that can be solved by an algorithm correctly.

whenever we find a problem for which there is no algorithm available for solve and we are also unable to create any program that can solve the problem exactly in finite time are declared as undecidable problems.

If we find a problem that ask yes or no question about some input and there is programming language available for responding correctly then this particular problem is declared as decidable.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The equation of the parabola is f(x) = 7(x-3)^2+5.

Given:

The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.

If the parabola has same shape then its a values are same.

so f(x) = 7x^2

here a = 7

so the equation with vertex (3,5) also has a value is 7.

(h,k) = (3,5)

f(x) = a(x-h)^2+k

= 7(x-3)^2 + 5.

Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.

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Answer:

43$

Step-by-step explanation: Three tickets total.

2 tickets cost 13$    =26

1 ticket 17 = 43 total

Hope this helped! God Bless!!

The total cost of the tickets for William’s family with 1 adult and 2 children is $43.

William's age = 11 years

Price for an adult = $17

Price for a child = $13

The total number of tickets to be bought will be 3 i.e. William, His Granddad, and William's younger brother i.e. 1 adult ticket and 2 children tickets.

Total price = price of 1 adult ticket + price for 2 children's ticket

Total price =17+2*13

Total price =17+26

Total price =$43

Therefore, the total cost of the tickets for William’s family is $43.

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Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Answer:

the answer is = 18

Step-by-step explanation:

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Answer:

-5

Step-by-step explanation:

Answer:

≈ 13.1 cm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{60}{360}\)

   = π × 5² × \(\frac{1}{6}\)

   = 25π ÷ 6

   ≈ 13.1 cm² ( to 1 dec. place )

Answer:

area = 13.1 cm²

Step-by-step explanation:

area of sector formulae:

\( \frac{theta}{360} \times \pi {r}^{2} \)

theta = 60°

radius = 5 cm

π = 22/7

substitute the values into the formulae

\( \frac{60}{360} \times \frac{22}{7} \times {5}^{2} \)

\( \frac{1}{6} \times \frac{22}{7} \times 25\)

\( \frac{1}{6} \times \frac{25 \times 22}{7} \)

\( \frac{1}{6} \times \frac{550}{7} \)

\( \frac{550 \times 1}{6 \times 7} \)

\( \frac{550}{42} \)

\(13.1 \: cm {}^{2} \)