if you measured on a particle in the general state what values might you get, and what is the probability of each? check that the probabilities add up to 1

Answer:

sorry dont know

Step-by-step explanation:

good luck tho

\

f(x) = 0.5x-1.5x+1

4x<-1

-1 ≤ x ≤ 3

x < 3

The frequency of a class is the number of data points that fall within the class is 1.

To determine the frequency of each class in the table shown, we must first divide the data points into the respective classes. The classes are 1003, 1062, 1063, 1122, 1123, 1182, 1183, 1242, 1243, 1302, 1303, and 1362.

For the class 1003, the frequency is 1, since there is only one data point (1003) in this class.

For the class 1062, the frequency is also 1 since there is only one data point (1062) in this class.

For the class 1063, the frequency is also 1 since there is only one data point (1063) in this class.

For the class 1122, the frequency is 1 since there is only one data point (1122) in this class.

For the class 1123, the frequency is 1 since there is only one data point (1123) in this class.

For the class 1182, the frequency is 1 since there is only one data point (1182) in this class.

For the class 1183, the frequency is 1 since there is only one data point (1183) in this class.

For the class 1242, the frequency is 1 since there is only one data point (1242) in this class.

For the class 1243, the frequency is 1 since there is only one data point (1243) in this class.

For the class 1302, the frequency is 1 since there is only one data point (1302) in this class.

For the class 1303, the frequency is 1 since there is only one data point (1303) in this class.

For the class 1362, the frequency is 1 since there is only one data point (1362) in this class.

Therefore, the frequency of each class in the table shown is 1.

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Answer:

-17 9/10

Step-by-step explanation:

Answer:

-1/6

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

Given (0,10) and (24,6)

m = (6 - 10)/(24 - 0) = -4/24 = -1/6

Answer:

160 g of chocolate

Step-by-step explanation:

She is doing 4 times the recipe for 24 biscuits so you need to multiply by 4.

Answer:

Step-by-step explanation:

Let's write that out completely:

\(ln_e(x)=7\) The rule for going from log to exponential is what I call the "circular rule" in my classes and the kids never forget it. Take the base of the log, raise it to the power of the number on the other side of the equals sign, and then circle back to set it equal to the argument.

e is the base. Raise e to the 7th and circle back to set the whole thing equal to x (x is called the argument):

\(e^7=x\) choice C.

In the given research scenario, the dependent variable is the average number of pounds lost.

The dependent variable is the variable that is being measured or observed in an experiment. It is the outcome or response variable that is expected to change as a result of manipulating the independent variable(s). In this case, the independent variable is the type of diet (low-carb or high-carb), and the dependent variable is the average number of pounds lost by the participants.

The researchers are comparing the average weight loss between the two groups: one following a low-carbohydrate diet and the other following a high-carbohydrate diet with the same number of calories. They are interested in determining whether the type of diet has an effect on weight loss. Hence, the dependent variable is the average number of pounds lost, as it is the variable that is expected to vary based on the diet type.

If you would like to represent the dependent variable using LaTeX code, you can use the following snippet:

\(\text{Dependent Variable: Average number of pounds lost}\)

I hope this explanation clarifies the concept of the dependent variable in the given research scenario. Let me know if you have any further questions.

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Answer:

54 cents

Step-by-step explanation:

The best way to solve this is by writing this as a fraction...

24/44

Next, we should divide both sides by their GCF (Greatest Common Factor) Which in this case is 4.

Now, our fraction is...

6/11

So, our final answer is 6/11 or 0.54 repeating or 54 cents

Hope this Helps!!! :)

Let me know in the comment section if I should change anything or if this answer was perfect!!!

Answer:

x-y = 2

Step-by-step explanation:

I think it the right answer

The solution is Option D.

The equation of line that passes through the point P ( 4 , -3 ) and the point Q ( 0 , -2 ) is y = ( -1/4 )x - 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first point be P = P ( 4 , -3 )

Let the second point be Q = Q ( 0 , -2 )

Now , the slope of the line passing through the points is calculated from the formula slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -2 - ( -3 ) ) / ( 0 - 4 )

Slope m = ( -2 + 3 ) / -4

Slope m = -1/4

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - ( -3 ) = ( -1/4 ) ( x - 4 )

On simplifying the equation , we get

y + 3 = ( -1/4 )x + 1

Subtracting 3 on both sides of the equation , we get

y = ( -1/4 )x - 2

Therefore , the value of A is y = ( -1/4 )x - 2

Hence , the equation of line is y = ( -1/4 )x - 2

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The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.

This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.

We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.

This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.

We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.

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Answer:

4π : 9π

Step-by-step explanation:

→ Find the area of circle with radius 8

π × 8² = 64π

→ Find the area of circle with radius 12

π × 12² = 144π

→ Simplify ratios

64π : 144π ⇒ 4π : 9π

The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2.

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

Given the spinner has 5 sections, each section is numbered between 1 to 5. Lakima also spins the spinner 6 times and records the results in this list. {2,4,1,5,3,4}. Therefore,

The theoretical probability of spinning an odd number is equal to 3/5.

The experimental probability of spinning an odd number is equal to 3/6=1/2.

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Answer: The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2. Therefore, the theoretical probability of spinning an odd number is GREATER THAN  the experimental probability of spinning an odd number.

Step-by-step explanation:

For x = 7 will make the third side equal, so the triangles will be congruent by SSS.

What is the midpoint of the line?

In geometry, the midpoint is the middle of a line segment. It is equidistant from both endpoints and serves as the segment and endpoint centroid.

Given that M is a midpoint.

By definition of midpoint AM=MD.

It is given AB=CD in figure.

Two of the sides are equal .to prove the triangles to be congruent by SSS the third side must be equal

That is BM=CM,

Or  4x-1=3x+6

4x - 3x - 1 = 3x - 3x + 6

Simplifying, we get

x = 7.

Hence, x = 7 will make the third side equal, so the triangles will be congruent by SSS.

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Answer:

C-7

Step-by-step explanation:

took the assignment

Based on the information, it can be inferred that of the 2,750 books, 1,750 are hardback and 1,000 are paperback.

Based on the information, to find the number of books of each type in a group of 2,750 we must perform the following operations.

We must first identify how many "groups" of books have been sold. Therefore we add 4 and 7.

Once we have this result, we divide the total number of books sold into groups of 11.

Once we have this result we know that in the total sale of 2,750 books. There are 250 groups of 11 books, of which 4 are hardback and 7 are paperback. So, to find how many paperbacks were sold we must multiply the number of groups by the number of paperbacks in each group:

Note: This question is incomplete because there is some information missing. Here is the complete information

A bookshop sold a total of 2,750 in January. (A) The ratio hardback books sold: paperback books sold is 4:7

Calculate how many paperback books were sold.

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The number square root of 87 which is √87 lies between the two consecutive integers are 9 and 10.

Given that,

The number is square root of 87 which is√87.

We have to find the two consecutive whole numbers does √87 lies.

We know that,

In the category of numbers known as "whole numbers," all natural numbers and 0 are included. They are a subset of "real numbers," which are those that don't contain fractions, decimals, or negative numbers.

The √87 lies between √81 and √100

Which we can write as

√81<√87<√100

9<√87<10

Therefore, The number square root of 87 which is √87 lies between the two consecutive integers are 9 and 10.

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Answer:

^ means to the power of

1. 6x

2. 4x^3 - 2x^2 + 12x

3. -14x^4 should be -16^4

4. -5^2 + 2x

5. -15x^3 + 6x^2 + 18x

6. -5x^5 + 10x^4 - 5x^3

7. 8x^2 + 16x

8. -10x^6 + 40x^5 - 30^5

9. correct

10 5y^3 - 15y^2 +5y

11. -3x^3 + 4x^2

12. 7x^4 -7x^3

The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

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Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

Let the first piece be x

Let the second piece 4x

Let the third piece = 5x

Total length = 40 inches.

Equation

x + 4x + 5x = 40                Combine

Solution

10x = 40                             Divide by 10

10x/10 = 40/10        

x = 4

Answer

The smallest piece (x) = 4

The middle piece 4x  = 4*4 = 16

The largest piece 5x= 5 * 4 = 20

Answer:

Step-by-step explanation:
I need more explanation to answer

Answer:

Step-by-step explanation:

This is a binomial problem where the basketball player has a probability of success of 0.725 (making a free throw) and is attempting 60 shots. The number of successful shots is a binomial random variable X ~ Bin(60, 0.725). We need to find the probability that she makes at least 15 of her next 60 shots, which is P(X ≥ 15). This can be computed using the binomial cumulative distribution function (CDF) as follows:

P(X ≥ 15) = 1 - P(X < 15) = 1 - binom.cdf(14, 60, 0.725) ≈ 0.998

Therefore, the probability that she makes at least 15 of her next 60 shots is approximately 0.998.

This is also a binomial problem where the probability of success is 0.14 (a smartphone requiring servicing) and the number of trials is 100 (smartphones in a shipment). We need to find the probability that no more than 10 smartphones in the shipment will require servicing, which is P(X ≤ 10). This can be computed using the binomial CDF as follows:

P(X ≤ 10) = binom.cdf(10, 100, 0.14) ≈ 0.289

Therefore, the probability that no more than 10 smartphones in the shipment will require servicing is approximately 0.289.

This is also a binomial problem where the probability of success is 0.06 (a scratch-off lottery ticket having a prize of a free ticket) and the number of trials is 200 (tickets at the local convenience store). We need to find the probability that this prize is on 15 or more of the tickets, which is P(X ≥ 15). This can be computed using the binomial CDF as follows:

P(X ≥ 15) = 1 - P(X < 15) = 1 - binom.cdf(14, 200, 0.06) ≈ 0.021

Therefore, the probability that the prize is on 15 or more of the 200 tickets at the local convenience store is approximately 0.021.

Answer: 7^16

Step-by-step explanation:

As explained in lectures, factor analysis is a statistical approach to determining how many concepts are measured by a set of questions.

Factor analysis is a statistical technique that divides a group of variables into fewer factors by identifying all of their commonalities. It's also known as data reduction. Numerous similar patterns can be seen while observing a large number of variables; these are called factors.

These can be used for further analysis and act as an index of all the relevant variables. A researcher will typically use a survey to ask several questions about a product while researching customer satisfaction related to it.

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If  E and F are two events and that P(E)=0.3 and P(FIE)=0.6 then P(E and F) = 0.18

To find the probability of two events occurring together, we use the formula:

Probability of (E and F) = Probability of (F given E) multiplied by Probability of (E).

We are given P(E) as 0.3 and P(F given E) as 0.6. Substituting these values in the formula, we get the answer as 0.18. Hence, the probability of events E and F occurring together is 0.18.

P(E and F)= P(F|E) * P(E)

Given that P(E)=0.3 and P(F|E)=0.6

Therefore, P(E and F)= 0.6 * 0.3 = 0.18

Thus, the probability of both events E and F occurring is 0.18.

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

The value of the yakubu and bello business is N80,000.

Let's start by determining the original value of Yakubu and Bello's shares in the business before the sale took place.

The ratio of their shares is given as 3:5, which means Yakubu owns 3 parts and Bello owns 5 parts out of a total of 3+5 = 8 parts.

Now, let's assume the value of the business is represented by "V" (to be determined).

Since Yakubu later sold 3/4 of his share to Bello, this means he sold 3/4 * 3 = 9/4 parts of the business to Bello.

The value of 9/4 parts of the business is N180,000, so we can set up the following equation:

(9/4) * V = N180,000

To solve for V, we multiply both sides of the equation by 4/9:

V = (4/9) * N180,000

V = N80,000

Therefore, the value of the business is N80,000.

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The productivity of the truck in bank measure is most nearly 32.3 (option C).

To calculate the productivity of the truck in bank measure, we need to convert the loose density to bank density. Bank measure refers to the volume of material when it is compacted or in its natural state, while loose measure refers to the volume of material when it is loose or not compacted.

The formula to convert loose density to bank density is as follows:

Bank Density = Loose Density / (1 + Moisture Content)

Since the moisture content is not provided in the question, we assume it to be zero for simplicity. Therefore, the bank density is equal to the loose density.

Next, we need to calculate the truck's productivity in bank measure. The formula for productivity is:

Productivity = Truck Capacity / Cycle Time

However, the truck capacity and cycle time are not provided in the question. Therefore, we cannot directly calculate the productivity.

Given that we have the specifications of the truck's density, we can make an estimation based on industry standards. A common truck capacity for earth hauling is around 20 cubic yards. The cycle time can vary depending on factors such as loading and dumping time, travel distance, and road conditions. For estimation purposes, let's assume a cycle time of 30 minutes (0.5 hours).

Using these values, we can calculate the productivity as follows:

Productivity = Truck Capacity / Cycle Time

Productivity = 20 / 0.5

Productivity = 40 cubic yards per hour

However, the productivity is measured in bank measure (yd³/hr), so we need to adjust the result based on the bank density.

Adjusted Productivity = Productivity * (Loose Density / Bank Density)

Adjusted Productivity = 40 * (100 / 110)

Adjusted Productivity ≈ 32.3 cubic yards per hour (bank measure)

Therefore, the productivity of the truck in bank measure is most nearly 32.3 (option C).

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Answer:

Area of Shaded Region = (25π - 24) cm²

Step-by-step explanation:

See attachment

From the attached, the following observations are made;

Radius, r = 5cm

Base of triangles = 6cm.

Required

Area of shaded region.

If the distance between the base of the triangle to the outline of the circle is 1cm then the height of the triangle is 1cm less than the radius

Height = 5cm - 1cm

Height = 4cm

To calculate the area of the shaded region, we first calculate the area of the circle.

Area = πr²

Substitute 5 for r

Area = π * 5²

Area = π * 25

Area = 25π cm²

Then we calculate the area of both triangles

Area of 1 triangle is calculated as follows.

Area = ½ * base * height

Substitute 4 for height and 6 for base.

Area = ½ * 4 * 6

Area = 2 * 6

Area = 12cm²

Since both triangles are equal.

Area of two triangles = 2 * Area of 1 triangle

Area = 2 * 12cm²

Area = 24cm²

Having calculated the area of the circle and that of both triangles.

Area of shaded region = Area of Circle - Area of Triangles

Area of Shaded Region = 25π cm² - 24 cm²

Area of Shaded Region = (25π - 24) cm²

Answer:

The third one

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

288 ÷ 9 = 32

32 × 3 = 96

Answer:

96

Step-by-step explanation:

288/9 =32 so 32 on each bus which would be 96 for 3

I think this is what you where asking for hope it helps some