How do you calculate decay from half-life?

In mathematics, Z means complex number and it is represented as (a+ib) where a is real part and b is the imaginary part.

In mathematics, the number are represented by using some certain notations, like N for all natural number, Z for all complex numbers, R for all real numbers.

Now, here the formula of Z is asked, Z is a combination of two number

Z = a+ib

Where, a is real part, b is the imaginary part and "i" is called the notation Iota that is used with the imaginary part to represent the imaginary part.

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Step 1: Count the total number of students

The total number of students in the statistics class is 8.

Step 2: Count the number of women

There are 4 women in the statistics class.

Step 3: Calculate the frequency, proportion, and percentage of women

Frequency: The frequency of women in the statistics class is 4.

Proportion: The proportion of women in the statistics class is 4/8, or 0.5.

Percentage: The percentage of women in the statistics class is 50%.

The information in the question is not significant to calculate the frequency, proportion and percentage of women.

Statistical models for calculating gender through frequency involve counting the number of individuals in a population that identify as each gender. This can be done by collecting data on gender from surveys, census data, or other sources of information. The data collected is then used to calculate the frequency, proportion, and percentage of each gender in the population. This information can be used to better understand gender dynamics in a population and inform policies and practices that promote gender equity.

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Answer: 5.7 (rounded)

Step-by-step explanation: The formula to find the diagonal of a square is \(\sqrt{2\) * a, where a is a side length on the square. Since we are solving for half of a diagonal, we use this formula and divide our result by two. We start by multiplying root 2 by 8 and we get 11.31371, next we divide by two and we get 5.656855 which is 5.7 when rounded.

The probability that it will rain on exactly one of the seven days the Hiking Club is camping in the state park is approximately 0.293, rounded to the nearest thousandth.

The probability of rain on any given day is 0.66.

To find the probability that it will rain on exactly one of the seven days the Hiking Club is there, we can use the binomial probability formula.

The binomial probability formula is

\(P(x) = C(n, x) * p^x * (1-p)^{(n-x)}\),

where:

P(x) is the probability of exactly x successes,

C(n, x) is the combination formula, which calculates the number of ways to choose x successes from n trials,

p is the probability of success on a single trial, and

n is the total number of trials.

In this case, we want to find the probability of rain on exactly one day out of the seven days.

So, x = 1,

n = 7, and

p = 0.66.

Using the combination formula,

C(n, x) = n! / (x! * (n-x)!),

we can calculate

C(7, 1) = 7! / (1! * (7-1)!)

C(7, 1) = 7.

Plugging the values into the binomial probability formula, we get:

\(P(1) = C(7, 1) * 0.66^1 * (1-0.66)^{(7-1)}\)

\(= 7 * 0.66^1 * 0.34^6\)

Calculating this expression, we find that P(1) is approximately 0.293.

Therefore, the probability that it will rain on exactly one of the seven days the Hiking Club is camping in the state park is approximately 0.293, rounded to the nearest thousandth.

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Answer:

387 is rounded to 400

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

0-49 = round down

50-99 = round up

Since 718 is between 0-49, we would round to 700

Since 331 is between 0-49, we would round to 300

700 - 300 = 400

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

\((5 \sqrt{3}^{1} 2)^{1}( \frac{1}{3})\)

\((10( \sqrt{3})^{1})^{1} \times (\frac{1}{3}) \)

\((10 \sqrt{3})^{1} \times( \frac{1}{3})\)

\(10 \sqrt{3} \times( \frac{1}{3})\)

\( \frac{10}{3} \sqrt{3} \)

\( \frac{10 \sqrt{3} }{3} = 5.773502692 \)

this is your answer

Answer:

I'm pretty sure the answer is 5

Step-by-step explanation:

Answer:

The first option:

\(Area = 27units^{2} \\Perimeter = 26 units\)

Step-by-step explanation:

The area of a trapezoid can be found by using the following formula where "a" and "b" are the bases and "h" is the height of the trapezoid.

\(Area = \frac{(a +b)h}{2} = \frac{3(7 + 11)}{2} = \frac{3(18)}{2} = \frac{54}{2} = 27 units^{2}\)

The perimeter can be found by adding the lengths of all sides. Therefore the perimeter of this trapezoid equals...

Perimeter = 3 + 11 + 5 + 7 = 26 units

Answer:

59.9%

Step-by-step explanation:

100/30 = 3.3

3.3*18 = 59.9%

The probability that Natalie gets all three questions correct by random guessing is (1/4) * (1/4) * (1/4) = 1/64.

Since each question has four possible options (A, B, C, or D), the probability of guessing the correct answer for each question is 1/4.

To find the probability of getting all three questions correct, we multiply the individual probabilities together:

Probability = (1/4) * (1/4) * (1/4) = 1/64.

Therefore, the probability that Natalie gets all three questions correct by random guessing is 1/64. This means that for each set of three questions, there is only a 1 in 64 chance that Natalie will guess all three correctly by pure chance.

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Answer:

Step-by-step explanation: -44

Answer:

\(11 \frac{3}{7}\)

Step-by-step explanation:

80 divided by 7 is 11 with a remainder of 3.

Answer:

11 3/7

Step-by-step explanation:

How you get this is you divide 80 from 7. Since it is 11.(So many numbers), you are going to take that number you just got, and multiply it from 7- the number you were dividing. You will get 77. Then you minus it. 80-77 is 3, so your answer would be 11 3/7. Since this can't be reduced more, this is your answer.

The mean is just the multiplication of \(n\) and \(p\) so \(60 * 0.3\) = \(18\)

Variance is \((1 - p) * n * p\) so \(0.7 * 60 * 0.3 = 12.6\)

So the variance is \(12.6\)

The standard deviation is just the root of the variance so: \(\sqrt{12.6}\) = \(3.55\) rounded to the nearest hundredth. :D

Algorithms should be executed in a reasonable time because when an algorithm takes too long to execute, the user may lose interest, and it may not be useful for real-time applications.

As a result, the algorithm's performance should be as good as possible so that the user does not have to wait a long time to get the answer. Additionally, as the number of data sets grows, an algorithm's execution time grows exponentially, making it more difficult to process more significant data sets.

The goal of an algorithm is to accomplish a specific task. When an algorithm can perform a task quickly and efficiently, it is considered successful. The performance of an algorithm can be measured in terms of its execution time, also known as runtime. The runtime is the time it takes for an algorithm to complete its task from start to finish.

A reasonable time for an algorithm is critical since it decides the algorithm's effectiveness in achieving its goal. In general, algorithms must be effective and accurate, but they must also be quick and efficient. If an algorithm does not execute efficiently, it may be useless to the user because it may not be able to process large data sets quickly or in real time.

Algorithms must be executed in a reasonable time to ensure the algorithm's effectiveness and user satisfaction.

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Answer:

See below

Step-by-step explanation:

Anything that makes the equation true works. For example, you can use the x-intercept (5,0) or the y-intercept (0,-1).

The probability of randomly selecting two animals and both of them being Labrador Retrievers is approximately 0.2647.

To calculate the probability of choosing two Labrador Retrievers out of all the animals, we need to determine the total number of possible pairs of animals and the number of pairs that consist of two Labrador Retrievers.

The total number of animals in the shelter is 3 Siamese cats + 3 German Shepherds + 9 Labrador Retrievers + 2 mixed-breed dogs = 17 animals.

To calculate the number of ways to choose 2 animals out of 17, we use the combination formula:

\(C(n, k) = n! / (k! * (n-k)!)\)

where n is the total number of animals (17) and k is the number of animals we want to choose (2).

C(17, 2) = 17! / (2! * (17-2)!)

         = 17! / (2! * 15!)

         = (17 * 16) / (2 * 1)

         = 136.

So, there are 136 possible pairs of animals.

Now, let's determine the number of pairs that consist of two Labrador Retrievers. We have 9 Labrador Retrievers in total, so we need to choose 2 out of the 9.

C(9, 2) = 9! / (2! * (9-2)!)

        = 9! / (2! * 7!)

        = (9 * 8) / (2 * 1)

        = 36.

Therefore, there are 36 pairs of Labrador Retrievers.

The probability of choosing two Labrador Retrievers out of all the animals is given by:

P(both labs) = (number of pairs of Labrador Retrievers) / (total number of pairs of animals)

            = 36 / 136

            = 0.2647 (rounded to four decimal places).

So, the probability of randomly selecting two animals and both of them being Labrador Retrievers is approximately 0.2647.

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Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Answer:

b

Step-by-step explanation:

The solution is Option A.

The area of the token not covered by the triangles is 25.76 cm²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

Given data ,

Let the area of the token not covered by triangles be A

Let the area of the triangle be T

Now , the height of the triangle h = 1 cm

The base of the triangle b = 1 cm

The area of the triangle = 1/2 x l x b

Substituting the values in the equation , we get

Area of the triangle T = 1/2 cm²

The number of triangles = 5

The area of 5 triangles = 5 x Area of the triangle

The area of 5 triangles = 5/2 cm²

The area of 5 triangles = 2.5 cm²

Now , the radius of the circle r = 3 cm

The area of the circle = πr²

Substituting the values in the equation , we get

Area of the circle = 3.14 x 3 x 3

Area of the circle = 28.26 cm²

Now , the area of the token not covered by triangles
A = Area of the circle - area of 5 triangles

Substituting the values in the equation , we get

The area of the token not covered by triangles A = 28.26 - 2.5

The area of the token not covered by triangles A = 25.76 cm²

Therefore , the value of A is 25.76 cm²

Hence , the area of the token without triangles is 25.76 cm²

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Answer:

The size of the post card she should use is 4 in. × 6 in.

Step-by-step explanation:

The parameters given are;

Dimensions of sign = 5 ft. × 7.5 ft

Hence, the ratio of the side sizes are;

5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;

Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.

The size of the post card she should use is therefore = 4 in. × 6 in.

To produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2.

To produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2. Here's the explanation: Given `samplematrix=[1, 2, 3; 4, 5, 6; 7, 8, 9]`, the command `samplematrix([n]) = [ ]` would remove the nth row from the matrix and leave an empty row in its place.

For example, if `n = 2`, then the command `samplematrix([n]) = [ ]` would remove the second row and leave an empty row in its place.

The resulting matrix would be:`samplematrix = [1, 2, 3; ; 7, 8, 9]`

Notice that there is an empty row in the middle because the second row was removed.

Next, to produce the desired matrix `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]`, we need to concatenate the rows of the modified `samplematrix` matrix in a specific order. The order is the first row, then the third row, and finally the second row. So, we can use the following code to achieve this:

result = [samplematrix(1,:); samplematrix(3,:); samplematrix(2,:)]

The resulting `result` matrix would be:`result = [1, 2, 3; 7, 8, 9; 4, 5, 6]`

We can then use the colon operator to reshape the matrix into a row vector, like this:`samplematrix = result(:)'`The resulting `samplematrix` vector would be:`samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]`

Therefore, to produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2.

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Answer:

5 and 1/2

Step-by-step explanation: 2 goes into 11 5 times without passing it. That one that is left over would be the numerator and 2 as the demonator.

Her study could be generalized to:

Students in fraternities/sororities.

Sampling is a technique for when a group of elements from a population is taken to represent the entire population.

This group of elements has to be representative of the entire population, as to lead to correct conclusions, and thus the information gathered from the sample could be generalized to the entire population.

The sample and the population for this problem are identified as follows:

Considering the population, the study can be generalized only for students in fraternity/sorority, meaning that the second option is correct.

The complete problem is given by the image shown at the end of the answer.

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Answer:

588.6

Step-by-step explanation:

Multiply  

0

by  

0.86

x

.

f

(

x

)

,

x

y

e

a

r

s

,

f

(

x

)

=

25

,

0

,

2

y

e

a

r

s

,

3

y

e

a

r

s

,

a

,

18

,

490

,

b

,

34

,

391.4

,

c

,

15

,

901.4

,

d

,

2

,

588.6

Answer:

Here is the equation in quadratic form:

x= 3±i√47/4

The given rational and irrational numbers can be ordered from least to greatest as follows; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

It follows from the task content that the numbers given are rational and irrational numbers.

To order the numbers, they should be converted to decimal numbers as follows;

-2 3/5 = -2.6

√20 = 4.47

3.9 = 3.9

10/3 = 3.33

3 7/8 = 3.875

Hence, the order from least to greatest is; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

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4 (1/16)  =  4/16   =  1/4

(1/4) / 4    =   1/16  each day

Answer:

\(\frac{5}{24}\) of the book each day

\(83\frac{1}{3}\) % of the book each day

Step-by-step explanation:

1 - ⅙

⅚

⅚ ÷ 4

\(\frac{5}{24}\)

Answer:

The answer will be option no.1

Step-by-step explanation:

Angles:

Since,

Sum of angles in a right angle are equal to 180°

So,

90+x+x= 180

2x= 180-90

2x= 90

x= 90/2

x= 45°

There fore the other two angles will be of 45° and one angle will be of 90°

Sides:

(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2

(Hyp)^2 = (Base)^2 + (Per)^2

Since in option no.1, the given sides are 1, 1 and √2

So,

(√2)^2 = (1)^2 + (1)^2

2= 2

Hence 1, 1 and √2 are proved to be the correct sides

Hope you understand

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