need help ASAP. 81x⁴=1

it would take approximately 0.0004 seconds (or 0.4 milliseconds) to determine the activity with a statistical uncertainty of 2%.

To determine the activity with a statistical uncertainty of 2%, we need to calculate the time interval that would provide sufficient data to achieve this level of precision.

The statistical uncertainty is typically expressed as the standard deviation or the relative standard deviation (coefficient of variation). In this case, let's assume the 2% uncertainty refers to the relative standard deviation.

The relative standard deviation (RSD) is calculated as the standard deviation divided by the mean, expressed as a percentage:

RSD = (Standard Deviation / Mean) * 100%

Given that the mean number of decays in 10 minutes is 1000, we can use this information to calculate the standard deviation:

Standard Deviation = (RSD / 100%) * Mean

                 = (2% / 100%) * 1000

                 = 0.02 * 1000

                 = 20

Now, to determine the time interval required to achieve the desired statistical uncertainty, we can use the following formula:

Time Interval = (Standard Deviation / Mean)²

Time Interval = (20 / 1000)²

             = 0.02²

             = 0.0004

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Answer:

-9/6 or -3/2

Step-by-step explanation:

To find the x intercept, substitute y = 0 into the equation:

6x + 3(0) = -9

Now simplify,

6x + 0 = -9

6x = -9

x = -9/6 → -3/2

Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead

Answer:

B is your answer

Step-by-step explanation:

Hope it is right.

9 diagonals can be drawn in the shape above. Thus, option b is correct.

In mathematics, an expressiοn is a cοllectiοn οf symbοls, digits, and cοmpanies that pοrtray a statistical cοrrelatiοn οr fοrmula. An expressiοn can be a single number, a mutable, οr a cοmbinatiοn οf bοth οf them. Additiοn, subtractiοn, prοliferatiοn, divisiοn, and expοnentiatiοn are examples οf mathematical οperatοrs.  Expressiοns are used extensively in mathematics, including arithmetic, calculus, and geοmetry. They are used in mathematical fοrmula representatiοn, equatiοn sοlutiοn, and mathematical relatiοnship simplificatiοn.

We can use the fοllοwing fοrmula tο calculate the number οf diagοnals that can be drawn in the given shape:

n(n-3)/2

n denotes the number of sides of the shape.

Here, in a hexagon the number of sides are 6

So,

6(6-3)/2

= 6(3)/2

= 18/2

= 9

Thus, 9 diagonals can be drawn in the shape above. Thus, option b is correct.

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Answer:

3/20

Step-by-step explanation:

-

Answer:

0.15

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

is the function.

Am % sure

There are 336 ways to arrange Samantha's books on the shelf, with the first three positions occupied by math books and the last position by a computer science book.

Since the first three positions on the shelf are to be occupied by math books and the last position by a computer science book, we need to choose 3 math books out of 8 and 1 computer science book out of 6.

The number of ways to choose 3 math books out of 8 is:

C(8,3) = 8! / (3! * (8-3)!) = 56.

The number of ways to choose 1 computer science book out of 6 is:

C(6,1) = 6! / (1! * (6-1)!) = 6

Therefore, the total number of ways to fill the 4 positions on the shelf is:

56 * 6 = 336.

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Answer:

Step-by-step explanation:

(1 x 3/16)/12 = 1 x 3/16 x 12 = 2.25

Answer: The answer is provided below

Step-by-step explanation:

From the question, a box contains 20 miniature golf putt-putt balls out of which 10 are yellow, 6 are red, and the remaining 4 are pink.

The probability of picking a red golf ball will be:

= 6/20 × 100

= 600/20

= 30%

If the red ball is replaced, the probability of picking a yellow golf ball will be:

= 10/20 × 100%

= 50%

The inverse of the function f(x) = 2x is y = x/2.

How to calculate inverse of a function ?

To find the inverse of a function, write the function y as a function of x i.e. y = f(x) and then solve for x as a function of y. To find the inverse of any function, first, replace the function variable with the other variable and then solve for the other variable by replacing each other.

F(x)=2x

U should put it in normal standard

Y=2x

Then where u see x sub with y and where u see y sub with x

x=2y

Then divide by 2 both sides to have y as ur subject of the formular

X/2=2y/2

Ur answer will be

y=x/2

Hence , the inverse of the function f(x) = 2x is y = x/2.

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Answer:

thx

Step-by-step explanation:

Answer:

-7 and -8  

Step-by-step explanation:

because 7 times 8 equals 56 and negative times a negitive equals a positive and -7 added to -8 equals -15

The pair of numbers which fulfill the given condition 2.6 & -1.76

and -17.6 & 2.6.

An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.

Let x and y be the two numbers we're trying to find. We know that:

x * y = 56 (equation 1)

x + y = -15 (equation 2)

y = -15 - x (equation 3)

Substituting equation 3 into equation 1, we get:

x * (-15 - x) = 56

-x² - 15x + 56 = 0

x² + 15x - 56 = 0

Using the quadratic formula, we get:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 15, and c = -56.

Substituting the values, we get:

x = (-15 ± 20.2) / 2

x = (-15 + 20.2) / 2 = 2.6

x = (-15 - 20.2) / 2 = -17.1

For x = 2.6:

y = -15 - x = -15 - 2.6 = -17.6

So, one possible pair of numbers is x = 2.6 and y = -17.6.

For x = -17.1:

y = -15 - x = -15 - (-17.1) = 2.1

So, another possible pair of numbers is x = -17.1 and y = 2.1.

Therefore, the two numbers that multiply to 56 and add to -15 are approximately -17.1 and 2.6, or vice versa.

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Answer:

X = 8

Step-by-step explanation: So First Yu Will Add 4 On Both Sides Like Dis 2x - 4 + 4 = x + 4 + 4 Den Yu Will Simplify Which Is 2x = x + 8 After Yu Gonna Subtract x from both sides 2x - x = x + 8 - x and After Yu Got Yur Anwser Which Will B X = 8 Yur Done...

HOPE DIS HELPS YU

Answer:

Step-by-step explanation:

I'm not sure how correct I am about these questions, but this is what I got:

13.x=-9

14.x=8

15.x=-2

16.x=5

17.x=-1

18.x=1.5

The equation of the circle that meets the specified requirements is x^2 + y^2 = 89, with the center at the origin and going through P(5, 8).

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

The equation of a circle with center at the origin (0,0) and passing through the point (x1,y1) can be found using the distance formula.

The distance between a point (x1, y1) and the origin (0,0) is given by:

sqrt((x1-0)^2 + (y1-0)^2) = sqrt(x1^2 + y1^2)

Let's call the radius of the circle r. We know that the distance between the point (x1,y1) and the origin is equal to r. So, we can set up the equation:

sqrt(x1^2 + y1^2) = r

Substituting the values x1 = 5 and y1 = -8, we have:

sqrt(5^2 + (-8)^2) = r

Solving for r, we get:

r = sqrt(5^2 + (-8)^2) = sqrt(25 + 64) = sqrt(89)

Finally, we can write the equation of the circle in standard form using the center (0,0) and radius r:

(x - 0)^2 + (y - 0)^2 = r^2

x^2 + y^2 = r^2

x^2 + y^2 = 89

The  equation of the circle that satisfies the stated conditions that is center at the origin, passing through P(5, −8) is x^2 + y^2 = 89.

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The probability of a type i error for a sample of size 10 depends on the significance level (α) chosen for the hypothesis test. Assuming a standard significance level of 0.05, the probability of a type i error for a sample of size 10 can be calculated using a t-distribution table or a statistical software.

A type i error occurs when a null hypothesis is rejected when it is actually true. In hypothesis testing, the significance level (α) is the probability of rejecting the null hypothesis when it is actually true. A common significance level used in statistical analysis is 0.05, which means that there is a 5% chance of rejecting the null hypothesis when it is actually true.

The probability of a type i error for a sample of size 10 can be calculated using a t-distribution table or a statistical software. The calculation involves finding the critical value of t at the chosen significance level and degrees of freedom (df), which is equal to the sample size minus 1 (n-1). For a sample size of 10 and a significance level of 0.05, the critical value of t is approximately 2.306 (from a t-distribution table with 9 degrees of freedom).

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Answer:

The slope is equal to \(\frac{3}{4}\).

Step-by-step explanation:

In order to solve this question we need to know that.......

\(m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }\)

Where "m" = slope," \(y_{2}-y_{1}\)" = first difference, and \(x_{2} - x_{1}\) is the difference of the x values of the two points that we chose to fid the slope.

(If you don't understand something I would recommend to read about first differences and how we can use the first differences to find the slope).

Now we need to find two points on the line. One of them is already given to us and it is (36,27). In order to find the second one we will have to find a point with "x" and "y" values that have the same relation ship to each other as the point (36,27). We can do that by doing the following

\(\frac{x/a}{y/a} =\frac{x_{1} }{y_{1} }\)

In this case a any common factor of "x" and "y" except 1. So now we can do the following...

\(\frac{36}{27} = \frac{36/9}{27/9} = \frac{4}{3}\)

Now we know that another point on this line is (4,3).

Now all we have to imagine (36,27) as (\(x_{2} ,y_{2}\)), and imagine (4,3) as \((x_{1} , y_{1})\). so now......

\(m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{27 - 3}{36-4} = \frac{24}{32} = \frac{3}{4}\)

The population is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater is correct.

In this situation, the population refers to the entire group of individuals that are of interest to the survey. In this case, the population is the total number of people who go to the movie theater. The sample, on the other hand, refers to a subset of the population that is actually observed and surveyed. In this case, the sample is the first 150 people who entered the theater and were asked about their favorite type of movie.

It is important to note that the sample should be representative of the population in order to draw valid conclusions from the survey. This means that the individuals in the sample should be selected in a way that reflects the characteristics of the population as a whole.

In summary, the population in this situation is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater who were asked about their favorite type of movie.

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The sequence is arithmetic, and the common difference is of 10.

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The common difference of the sequence in this problem is given as follows:

As the common difference is equal, the sequence is arithmetic.

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Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer: 324

Step-by-step explanation:

Ratio--> 1/0.15=x/48.6

Do the butterfly method of multiplying

0.15x=48.6

Divide by 0.15 on both sides

48.6/0.15=324

Answer:

x = 5 I did that on my test today

Based on the given information, the product should be distributed from {S}1 to the retailers located at R1, R2, R3, and R4.

To determine the most efficient distribution route, several factors need to be considered. These factors include the distance between the origin point {S}1 and each retailer, transportation costs, logistical infrastructure, and delivery timeframes. By evaluating these factors, a decision can be made regarding the optimal distribution route.

One approach could be to assess the geographical proximity of {S}1 to each retailer. If {S}1 is closest to R1 compared to the other retailers, it would make logistical sense to prioritize R1 for distribution. However, other factors such as transportation costs and delivery timeframes must also be considered. If the transportation costs are significantly higher or the delivery timeframes are longer for R1 compared to the other retailers, it might be more efficient to distribute the product to a different retailer.

Moreover, the logistical infrastructure and transportation networks available between {S}1 and the retailers should be evaluated. If there are direct and efficient transportation routes between {S}1 and one or more retailers, it would make sense to utilize those routes for distribution. This consideration would help minimize transportation costs and delivery times.

Ultimately, the decision on the optimal distribution route depends on a comprehensive analysis of various factors such as geographical proximity, transportation costs, logistical infrastructure, and delivery timeframes. By carefully evaluating these factors, a well-informed decision can be made regarding the distribution of the product from {S}1 to retailers R1, R2, R3, and R4.

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Answer:

Its an Arithmetic progression

Step-by-step explanation:

d1= -18-(-25)= 7

d2= -11-(-18)= 7

d1 = d2

r1 = -18/25=0.72

r2 = -11/-8= 0.611

r1 isnt = r2

The probability mass function of W is P(W=-3) = 1/27, P(W=-1) = 6/27, P(W=1) = 12/27, and P(W=3) = 8/27.

Let us consider the possible outcomes of three tosses of the biased coin. There are a total of 8 possible outcomes: HHH, HHT, HTH, THH, HTT, THT, TTH, and TTT.

Since a head is twice as likely to occur as a tail, the probability of getting a head is 2/3 and the probability of getting a tail is 1/3.

Let W be a random variable giving the number of heads minus the number of tails in three tosses of the coin. Then, W can take on any value between -3 and 3.

To find the probability mass function (PMF) of W, we need to calculate the probability of each possible outcome. When all three coins come up heads (HHH), W = 3 - 0 = 3. The probability of this outcome is:

P(HHH) = (2/3)^3 = 8/27

When two coins come up heads and one comes up tails (HHT, HTH, THH), W = 2 - 1 = 1. The probability of each of these outcomes is:

P(HHT) = (2/3)^2 × (1/3) = 4/27

P(HTH) = (2/3)^2 × (1/3) = 4/27

P(THH) = (2/3)^2 × (1/3) = 4/27

So, P(W=1) = P(HHT) + P(HTH) + P(THH) = 12/27

When one coin comes up heads and two come up tails (HTT, THT, TTH), W = 1 - 2 = -1. The probability of each of these outcomes is:

P(HTT) = (2/3) × (1/3)^2 = 2/27

P(THT) = (2/3) × (1/3)^2 = 2/27

P(TTH) = (2/3) × (1/3)^2 = 2/27

So, P(W=-1) = P(HTT) + P(THT) + P(TTH) = 6/27

When all three coins come up tails (TTT), W = 0 - 3 = -3. The probability of this outcome is:

P(TTT) = (1/3)^3 = 1/27

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Answer:

50 percent of the people belong between Q1 and Q3

Step-by-step explanation:

The interquartile range (IQR) of a data set is given by

Q3 -Q1 and represents 50% of the data. That is, 50% of the data lie between Q1 and Q3.

The median sits within the box and represents the center of the data. 50% of the data values lie above the median and 50% lie below the median.

An outlier is an extreme value or a data points that differs significantly from other data. A common statistical rule use  for outliers is values that are lower than Q1 – 1.5(IQR) or greater than Q3 + 1.5(IQR) are outliers where IQR is the difference between the lower quartile Q1 and the upper quartile Q3

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50% of the people belong in the interval Q1 and Q3.

we know that the interquartile range is given by:

Q3 - Q1

That means that 50 % of the data lies between Q1 and Q3.

also, the median is represented at the centre of the data and the 50% of the values lie above the median and the rest lie below the median.

the interquartile range refers to the range between the different quartiles that are given. median refers to the middle point of the data. it help us to check the accuracy of the data.

Therefore, we can say that 50% of the people belong in the interval Q1 and Q3.

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The probability that a person treated for an energy drink-related emergency was under 40 given that the person was at least 18 years old is approximately 0.550 or 55.0%.

In general, probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in a sample space. Event probability P(E) = (number of favourable outcomes) (Sample space).

We must use conditional probability to determine the likelihood that a person treated for an energy drink-related emergency was under 40, given that the person was at least 18 years old.

We can use the following formula:

P(A | B) = P(A and B) / P(A and B) (B)

where A is the event "the person is under 40" and B is the event "the person is over 18".

According to the table, 11,146 people under the age of 40 and over the age of 18 were treated for energy drink-related emergencies. The total number of people over the age of 18 who have been treated for energy drink-related emergencies is 20,244.

So,

P(A, B) = 11,146

P(B) = 20,244

Therefore,

P(A and B) / P(B) = 11,146 / 20,244 0.550

So the probability that a person treated for an energy drink-related emergency was under 40 is approximately 0.550 or 55.0% if the person was at least 18 years old.

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