Of first-time college students who matriculate to a certain university, the odds in favor of having graduated in the top 25 percent of their high school class are 2.06 to 1. Of transfer students who matriculate to the same university, 0.666666666666667 proportion graduated in the top 25 percent of their high school class.
(a) For first-time college students, what is the proportion who graduated in the top 25 percent of their high school class (rounded to three decimal places)?
(b) For transfer students, what is the ratio in favor of having graduated in the top 25 percent of their high school class?
Odds and Probability:
Odds in favor of an event is expressed as a ratio:
O
(
f
)
=
favorable cases
:
unfavourable cases
Similarly odds against are expressed as:
O
(
a
)
=
unfavorable cases
:
favourable cases
.
Odds and probability are closely related, as the probability in favor of an even is computed as:
P
=
favorable cases
favorable cases+unfavorable cases

the opposite of -1.2 is 1.2

Answer:

x = (k-14)/5

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x + 14-14 = k-14

5x = k-14

Divide by 5

5x/5 = (k-14)/5

x = (k-14)/5

Answer:

k - 14/5

Step-by-step explanation:

5x + 14 = k

On subtracting 14 on both sides,

5x = k - 14

On dividing by 5 on both sides,

x = k - 14/5

Therefore, the value of x = k-14/5

Hope this helps You

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Answer: it would be a

Step-by-step explanation:

from my understanding you look at the sides and a traingale has 360 in total of the area.

so

ANSWER:

To calculate the money spend on a membership,Assuming a 2% increase each year, the cost of the zoo membership for the second year would be $81.60 (which is $80 + 2% of $80). For the third year, it would be $83.23 (which is $81.60 + 2% of $81.60). This pattern would continue for each subsequent year.

To calculate the total cost of the membership over 20 years, you can use the formula for the sum of a geometric series:

Total cost = a(1 - r^n) / (1 - r)

where:
a = initial cost = $80
r = common ratio = 1.02 (since the cost is increasing by 2% each year)
n = number of years = 20

Plugging in the values, we get:

Total cost = 80(1 - 1.02^20) / (1 - 1.02)
Total cost = $1,978.16

Therefore, you would spend a total of $1,978.16 on a zoo membership over 20 years if the cost increases by 2% each year starting from an initial cost of $80.

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You would spend $1943.79 on a membership over 20 years.

To calculate the total cost of a zoo membership over 20 years, considering a 2% annual increase, we can use the formula for the sum of a geometric series:

Sum = \(a * (1 - r^n) / (1 - r),\)

where:

a is the initial cost of the membership,

r is the common ratio (1 + annual increase rate),

n is the number of years.

In this case, the initial cost of the membership (a) is $80, the annual increase rate is 2% (or 0.02), and we want to calculate the total cost over 20 years (n = 20).

Let's substitute these values into the formula:

Sum = \(80 * (1 - (1 + 0.02)^2^0) / (1 - (1 + 0.02)).\)

Calculating this expression:

Sum = \(80 * (1 - 1.02^2^0) / (1 - 1.02)\)

≈ 80 * (1 - 1.485947) / (-0.02)

≈ 80 * (-0.485947) / (-0.02)

≈ 80 * 24.29735

≈ 1943.788

Therefore, you would spend approximately $1943.79 on a zoo membership over 20 years.

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A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

The alternative function of F using De Morgan's Law is (A + B + C) (A + C) (B + D). This is obtained by distributing the complements inside the parentheses and converting the logical AND operations to logical OR operations.

To derive this alternative function, we apply De Morgan's Law to the original function F. According to De Morgan's Law, the complement of the logical OR operation is equivalent to the logical AND operation of the complements, and the complement of the logical AND operation is equivalent to the logical OR operation of the complements.

The original function F = ABC + AC (B + D) can be rewritten as:

F = (A' + B' + C') (A' + C') (B' + D')

By applying De Morgan's Law, we can distribute the complements inside the parentheses and convert the logical AND operations to logical OR operations:

F = (A + B + C) (A + C) (B + D)

Thus, the alternative function of F using De Morgan's Law is (A + B + C) (A + C) (B + D).

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The formula to calculate the volume of a rectangular prism is length × width × height.

To find the length of one side of the cube, we can use the formula for the surface area of a cube.

Step 1: Determine the number of faces on a cube.

A cube has six faces.

Step 2: Calculate the area of one face of the cube.

The total surface area of the cube is given as 150 cm². Since there are six faces, the area of one face can be found by dividing the total surface area by the number of faces:

Area of one face = Total surface area / Number of faces

Area of one face = 150 cm² / 6 = 25 cm²

Step 3: Calculate the length of one edge of the cube.

The area of one face of the cube is equal to the length of one edge squared. Therefore, we can find the length of one edge by taking the square root of the area of one face:

Length of one edge = √(Area of one face)

Length of one edge = √(25 cm²) = 5 cm

Thus, the length of one side of the cube is 5 cm.

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Answer:

8b+9=5

Step-by-step explanation:

Answer:

8b + 9 = 5

Step-by-step explanation:

The SUM of 8 times a number...

"The sum" means that we are adding and "times" means that we are multiplying. We can substitute a variable (b) for "a number:"

And 9 is 5.

"And 9" suggests that we are adding 8b to 9 and "is" suggests that we have to also input an equal to sign.

Thus, the equation for this sentence is:

Hope this helped!  :D

Answer:

35.2 is ur answer

Step-by-step explanation:

i hope i helped

Answer:

18months

Step-by-step explanation:

1424-560=864

864÷48=18

Answer:

18

Step-by-step explanation:

$1424-$560= $864

$864 divided by $48 = 18 months

The value of "x" is 3cm in this figure using Pythagoras' theorem.

What is Pythagoras' theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Remember that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Here given in the question that one side of the picture is 5cm and other is 4cm.

Now using the Pythagoras theorem we can find out the length of the other wall

b²=h²-p²

b²=5²-4²

b²=25-16

b=√9

b=3 cm

Hence the value of x is 3cm.

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Answer:

It is a linear relationship

Answer:

2

Step-by-step explanation:

el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2

Answer: 2

Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2    Espero que ayude Ten un día maravilloso :)

The geometric mean return of the given data set is 0.02.

The geometric mean return measures the compound rate of return over a period of time. It is calculated by taking the product of all the returns and then taking the nth root of the product, where n is the number of returns.

Formula: GMR = ((1+r1)(1+r2)…(1+rn))^1/n – 1

In this case, the data set is as follows:

r1 = 0.05

r2 = 0.03

r3 = -0.02

Using the formula above, the geometric mean return is calculated as:

GMR = ((1+0.05)(1+0.03)(1-0.02))^1/3 - 1

GMR = ((1.05)(1.03)(0.98))^1/3 - 1

GMR = (1.1394)^1/3 - 1

GMR = 0.0204

Therefore, the geometric mean return of the given data set is 0.02.

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The probability that hat both televisions work is 0.33 (approximately)

The probability at least one of the two televisions does not​ work is 0.67

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events.

Given that,

Total  number of  televisions = 7

Total number of defective televisions = 3

The proportion of defective sets : p = 3/7

Number of televisions selected = 2

Using binomial probability formula : \(P(x)=^{n} C_{x} p^{x} (1-p)^{n-x}\)

The probability that hat both televisions work = \(P(x=0)=^{2} C_{0} 3/7^{0} (1-3/7)^{2} = (\frac{4}{7} )^{2}\) = 0.3265306 = 0.33 (approximately)

The probability at least one of the two televisions does not​ work=

P(x≥1)=1-P(x=0)=1-0.33= 0.67

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The probability that you land on 8 twice is 1/64

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We spin a spinner numbered 1-8 twice

The total sample space can be given by considering all the possible values

Hence the total number of spins are 8*8= 64 spins

The possibility that getting 8 twice is only once possible. As it will be only one pair in all the possible values.

Hence, The total probability is 1/64

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Answer:

Step-by-step explanation:

So bascially decay means shrinks or shrivels. Growth means like growing, bigger, sort of like a happy plant :D.

To find if this is getting bigger or is shrinking, lets plug in something simple like 1 for the time(t). Sooo:

20,000*.88^1

Since its a 1 exponent it does nothing so:

20,000*.88

Now this is 17600 you can use calculator but if you do this in head like me all I did is multiply 88 by 2 which was simply since 8 times 2 is 16 so 160+16 is 176 then I added zeros:

y=17600

As we can see this is smaller than 20,000, so it is a decaying problem.

By what percent tho.

Well this is pretty easy to reconize once you understand where to find it.

When they talk about percentage, they mean how much it decreased by.

This is 100%-the multiplyied value.

In this case the multiplyed value is 0.88, sooo:

100%-88%=18%

So the percent amount that the value decreased by is 18%.

Hope this helps!

Alrighty, so,  you know how young children often believe that a taller container will have a greater volume than a shorter container? Even after seeing that both containers hold the same amount, some children will still think the taller container holds more. It may take measuring the water a few times before they get it.

If it overflows, the first container is bigger, or is able to hold more water. If all of the water from the first container can be poured into the second container without completely filling it, then the second container holds more water.

The tallest container holds the most liquid. Identical containers can have a different capacity.

Answer:

1. 10 × 2.367

2. \(10^{4}\) × 8.9

3. \(10^{-4}\) × 9.8

4. \(10^{-2}\) × 9.989

5. \(10^{-3}\) × 7.8641

6. \(10^{-2}\) × 8.02

7. \(10^{-7}\) × 1

8. \(10^{2}\) × 7.89

9. \(10^{3}\) × 3.111

10. \(10^{-3}\) × 1.21

Step-by-step explanation:

The exponent in scientific notation is equal to the number of times the decimal point must be moved to produce a number between 1 and 10.

In 1990 the population of Chicago was 6,070,000. To convert this number to scientific notation we move the decimal point to the left six times.

6,070,000 = 6.070 x \(10^{6}\)

information sourced from: https://chemed.chem.purdue.edu/genchem/topicreview/bp/ch1/scinot.html

Answer:

Area is 64cm^2
Diagonal is 11.3cm

Step-by-step explanation:

To find the area of a square, you need to multiply the length of one side by itself. In this case, the side length is 8 cm, so the area of the square is 8 x 8 = 64 square centimeters.

To find the diagonal of a square, you need to use the Pythagorean theorem. This states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the diagonal of the square will be the hypotenuse of a right triangle with two sides that are each 8 cm long. So, to find the diagonal, we need to find the square root of 8 squared plus 8 squared, which is equal to the square root of 64 + 64, or the square root of 128. This means the diagonal of the square is approximately 11.3 cm.

Answer:

Lilly

Step-by-step explanation:

According to the literature, the length of a medium grain rice is between 5.3 and 5.9 mm. Let's take the average (5.6 mm) and convert it to meters to compare it with the estimations. We will use the conversion factor 1 m = 1000 mm.

5.6 mm × 1 m/1000 mm = 5.6 × 10⁻³ m

Jack answered 4.5 × 10⁻³ kilometers. We will convert it to meters using the conversion factor 1 km = 1000 m.

4.5 × 10⁻³ km × 1000 m/1 km = 4.5 m

Lilly answered 4.5 × 10⁻³ meters.

Diego answered 4.5 × 10⁻³ centimeters. We will convert it to meters using the conversion factor 1 m = 100 cm.

4.5 × 10⁻³ cm × 1 m/100 cm = 4.5 × 10⁻⁵ m

Willa answered 4.5 × 10⁻³ millimeters. We will convert it to meters using the conversion factor 1 m = 1000 mm.

4.5 × 10⁻³ mm × 1 m/1000 mm = 4.5 × 10⁻⁶ m

As we can see, Lilly gave the best answer (same order of magnitude).

The probability that the train will be there when Alex arrives is 5/18

If Alex arrives at any time after 1.20pm the chances that train will  be there is 1/3.

However  if alex arrives at 1.00pm exactly there is no chance the train will be arrive there.

The probability that the train will be there increase linearly to 1/3 as alex's arrival time moves from 1.00pm to 1.20pm.

By arranging the probabilities over the first 20 minutes to get a 1/6 chance the train will be there if alex arrives between 1.00pm to 1.20pm

we get the final answer by

=1/3( 1/6 + 1/3 + 1/3)

=5/18

So, the probability that the train will be there when Alex arrives is 5/18

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Answer:

11

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B) -5, 5, -7, 7           

Step-by-step explanation:

3x² - bx + 2

factor:

(3x - 2 )(x - 1) = 3x² - (5)x + 2      so 5 does work

(3x - 1 )(x - 2) = 3x² - (7)x + 2      so 7 does work

(3x + 2 )(x + 1) = 3x² + 5x +2    =    3x² - (-5)x + 2      so -5 does work

(3x + 1 )(x + 2) = 3x² + 7x + 2   =    3x² - (-7)x + 2      so -7 does work

Answer:

108,96,84,72,60

25,50,100,200,400,800

The complement of the empty set is the set of all possible elements in the universal set U, which is the English alphabet in this context.

The universal set U is defined as the set of all possible elements or values under consideration for a given context. On the other hand, the complement of a set A is defined as the set of all elements that are not in A but are in U.

The complement of the empty set is defined as the set of all elements in U since the empty set is a subset of every set.

Therefore, the complement of the empty set in this context would be the entire set of all letters in the English alphabet.

This is because the empty set contains no elements, and therefore, its complement would be the set of all possible elements in U, which in this case is the English alphabet.

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Answer:

Mode is 6

Step-by-step explanation:

In math, the mode means the number that appears the most in a data set.

Here, we can see that 6 appears the most, because it has the highest number of dots on it.