Which improper fraction is represented by the model?
12 / 4
10 / 3
12 / 3

(a) P(A) = 0.4 , P(B) = 0.4In this case, P(A) . P(B) = 0.4 x 0.4 = 0.16 ∩

This satisfies the given probability.

(b) The possible probabilities for A and B are (a) P(A) = 0.4, P(B) = 0.4.

Given ;

( ∩ ) = 0.16 and Event A and B are independent, we have to determine which of the following could be possible probabilities for A and B.

To determine the possible probability of A and B, we will use the formula for the independent events:

P(A ∩ B) = P(A) . P(B)

Where,

P(A) = Probability of event A,

P(B) = Probability of event B.

P(A ∩ B) = Probability of A and B intersecting.

(a) P(A) = 0.4 , P(B) = 0.4In this case, P(A) . P(B) = 0.4 x 0.4 = 0.16 ∩

This satisfies the given probability.

(b) P(A) = 0.1 , P(B) = 0.06

In this case, P(A) . P(B) = 0.1 x 0.06 = 0.006 which is less than 0.16.

Hence this is not a valid probability.(c) P(A) = 0.16 , P(B) = 0.16

In this case, P(A) . P(B) = 0.16 x 0.16 = 0.0256 which is greater than 0.16.

Hence this is not a valid probability.(d) P(A) = 0.32 , P(B) = 0.16

In this case, P(A) . P(B) = 0.32 x 0.16 = 0.0512 which is greater than 0.16.

Hence this is not a valid probability.

Therefore, the possible probabilities for A and B are (a) P(A) = 0.4, P(B) = 0.4.

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Answer:

D

Hope this helps

Answer:

The solution of the given equation is

               \(x = \frac{3}{2} , 1\)

Step-by-step explanation:

Explanation:-

Given equation is     - 2 x² + 5 x - 3 = 0

By using quadratic formula

                         \(x = \frac{-b-\sqrt{b^{2} - 4 a c} }{2 a} , x = \frac{-b+\sqrt{b^{2} - 4 a c} }{2 a}\)

Given equation   a = -2 , b = 5 ,c = -3

                    \(x = \frac{-5-\sqrt{(5)^{2} - 4 (-2) (-3)} }{2 (-2)} , x = \frac{-5+\sqrt{(5)^{2} - 4 (-2) (-3)} }{2 (-2)}\)

                  \(x = \frac{-5-\sqrt{1} }{-4} = \frac{-6}{-4} = \frac{3}{2}\)

and

                 \(x = \frac{-5+\sqrt{1} }{-4} = \frac{-5+1}{-4} = \frac{-4}{-4}=1\)

The solution of the given equation is

               \(x = \frac{3}{2} , 1\)

Answer:

17952 ft

Step-by-step explanation:

2*2*3*17*11*8=17952 ft

The function f(x) = 150,000(0.85)^x can be used to determine the number of tickets the Houston Ballet Company will sell over time. In this function, the 150,000 represents the initial number of tickets sold before any time has passed (when x = 0).

It serves as the starting point or baseline for the exponential decay of ticket sales over time. As x increases, the function evaluates the number of tickets sold at a particular time, where each subsequent value of x represents a subsequent unit of time (such as days, weeks, months, etc.). The term (0.85)^x represents the decay factor, as it is less than 1 (0.85). Thus, the function models a situation where ticket sales decrease exponentially over time from the initial value of 150,000.

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A function's behaviour as x approaches positive or negative infinity might reveal vertical, horizontal, and oblique asymptotes. As x approaches a value, vertical asymptotes occur. As x approaches infinity, horizontal asymptotes occur. As x approaches infinity, oblique asymptotes occur.

To identify vertical asymptotes, we examine the behavior of the function as x approaches a particular value. For example, let's consider the function f(x) = 1 / (x - 2). As x approaches 2, the denominator becomes very close to zero, causing the function to approach infinity or negative infinity. Hence, x = 2 is a vertical asymptote.

Horizontal asymptotes are determined by analyzing the behavior of the function as x approaches positive or negative infinity. For instance, let's take the function f(x) = (3x^2 + 2x - 1) / (2x^2 + x + 1). As x approaches infinity or negative infinity, the highest power terms dominate the function. In this case, both the numerator and denominator have the same highest power term (x^2), so the ratio of the coefficients determines the horizontal asymptote. Therefore, the horizontal asymptote for this function is y = 3/2.

Oblique asymptotes occur when the function approaches a non-horizontal line as x approaches positive or negative infinity. Consider the function f(x) = (3x^2 + 2x + 1) / (x + 1). By performing polynomial long division or synthetic division, we can see that the quotient is 3x + 1. As x approaches infinity or negative infinity, the function approaches the line y = 3x + 1. Hence, y = 3x + 1 is an oblique asymptote for this function.

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The total number of ways six dogs and four cats can sit in a row as per given condition is equal to 86,400 ways.

Total number of dogs = 6

Total number of cats = 4

Arrange six dogs and four cats in a row.

No two cats sit next to each other.

Use permutation ,

Arrange the six dogs in a row in 6! ways.

Now, place the four cats in the six spaces between the dogs.

Since no two cats can sit next to each other

Place them such that there is at least one dog between any two cats.

Spaces between the dogs as ,

_ D _ D _ D _ D _ D _

Place the four cats in any of the 5 spaces between the dogs

Choose four of these spaces without repeating any space.

⁵C₄ = 5

Arrange four cats in the chosen spaces in 4! ways.

Total number of ways to arrange the dogs and cats with the given conditions is,

= 6! x 5 x 4!

= 86,400

Therefore,  there are 86,400 ways for six dogs and four cats to sit in a row in a strawberry field so that no two cats sit next to each other.

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2 intersecting lines are shown. A line with points T, R, and W intersects a line with points S, R, and V at point R.  the value of x  is  mathematically given as

x=20

This is further explained below.

In most cases, two lines that cross one other are shown. In this example, line TW and line SV meet at point R.

The angles are as follows, starting at the top and moving clockwise:

Angels \(3x\textdegree \ and\ (x+40 \textdegree)\) are considered horizontal angles because of the description (opposite when two lines intersect). Vertical angles are equivalent, therefore

x=20

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Answer:

B

Step-by-step explanation:

The solid circle at - 3 indicates that x can be equal to - 3

The arrow pointing left indicates the values of x are less than - 3

Then

x ≤ - 3 → B

Answer:

positive four

Step-by-step explanation:

look 4/0is = to 4 whole number

Answer:

Step-by-step explanation:

\(\angle 2,\angle AEG, \angle GEB\)

The probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3 is 0.7295

Binomial Distribution

The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials. In a Bernoulli trial, the experiment is said to be random and can only have two possible outcomes- success or failure.

In a binomial distribution the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.

Mean rate of lost time accident = 0.3 per day

probability that the number of lost-time accidents occurring over a period of 7 days will be no more than 3.

n = 7

Using binomial distribution formula :

P(x ≤3)

Probability of success (p) = 0.3

1 - p = 1- 0.3 = 0.7

nCx * p^x * (1 - p)^(n-x)

Using the binomial probability distribution calculator to save computation time :

P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668

P(x ≤3) = 0.7295

0.7295

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Answer:

4 each 2 left

Step-by-step explanation:

6×4 is 24 so 2 left bc u take 10 away from the 36 so 26 divided between 6 ppl is 4 each 2 left

If the sample size was expanded from 250 potatoes to 500 potatoes, it would take longer and cost more money to get the data for the 500 potatoes as opposed to the 250 potatoes (as there are twice as many potatoes about which we need to collect data).

A subset of a population is chosen at random in basic random sampling.

The possibility of selection bias is minimized in this sampling technique since every member of the population has an exactly equal chance of being chosen.

A simple random sample might consist of 25 employees' names drawn at random from a pool of 250 employees.

As each employee has an equal chance of being selected, the sample, in this case, is random and the population, in this case, is all 250 employees.

It would take longer and cost more money to collect the data for the 500 potatoes as opposed to the 250 potatoes if the sample size was increased from 250 potatoes to 500 potatoes (as there are twice as many potatoes about which we need to collect data).

Therefore, if the sample size was expanded from 250 potatoes to 500 potatoes, it would take longer and cost more money to get the data for the 500 potatoes as opposed to the 250 potatoes (as there are twice as many potatoes about which we need to collect data).

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Answer:

The answer is A = 14 B = 4  14 - 4 = 10 I think.

Step-by-step explanation:

It's not a sum its a difference because this is a subtraction problem I think.

The given statement in context to the current question after analyzing and processing is true.

The F-statistic tests have the roundabout presence of a multiple regression model. This current  tests has at least one independent variables present  in the model which is related to the dependent  variable. The p-value is involved with the F-statistic tests the null hypothesis include all of the regression coefficients that measure up to 0.

Given the p-value is less than individual chosen significance level (for instance 0.06), the individual can eliminate the null hypothesis and end at least one of the independent variables which is crucially related to the dependent variable.

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There is a significant difference between the mean verbal score for Littlewood Regional High School seniors and the statewide mean.

To determine if there is a significant difference, we need to perform a hypothesis test.

Our null hypothesis is that the mean verbal score for Littlewood Regional High School seniors is equal to the statewide mean of 453.

Our alternative hypothesis is that the mean verbal score for Littlewood Regional High School seniors is greater than the statewide mean of 453.

We can use a one-sample t-test to test this hypothesis. The formula for the t-test is:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values from the problem, we get:

t = (502 - 453) / (95 / √137) = 7.20

Using a t-table or a calculator, we find the p-value for a one-tailed test with 136 degrees of freedom to be less than 0.0001.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is a significant difference between the mean verbal score for Littlewood Regional High School seniors and the statewide mean.

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The answer to part a) is that next year, in 2023, NCSSM will use approximately 55,485 sheets of paper. In part b), total of approximately 363,353 sheets of paper will be used from 2018 through the end of 2030.


a) To calculate the paper used in 2023, we start with the initial amount used in 2018, which is given as 60,000 sheets of paper. We then need to calculate the decrease in paper use over the years. The rate of decrease is given as 2.25%, which can be written as 0.0225 in decimal form. To find the paper used in 2023, we multiply the initial amount by (1 - rate of decrease)^5, since five years have passed from 2018 to 2023.

b) To calculate the total paper used from 2018 to 2030, we need to sum up the paper used for each year in that time period. We start with the initial amount used in 2018, which is 60,000 sheets. Then we calculate the paper used each year using the same formula as in part a), multiplying the initial amount by (1 - rate of decrease)^n, where n represents the number of years since 2018. We sum up these values for the years 2018 to 2030, which is a total of 13 years.

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Answer:

The volume of the cylinder section is about 82.8, and the volume of the cone is about 28.2.

Step-by-step explanation:

To find the cone's volume, it is v=pir^2*h/3

To find the cylinder, it is v=pir^2*h

I'm sure you can do the rest.

The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

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Answer:

-1/3

Step-by-step explanation:

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

m=(1-5)/(21-9)

m=-4/12

m=-1/3

Answer:

  small table

Step-by-step explanation:

You want to know where a person would get the most pie if 12 pies are shared by 4 people at the large table; 10 pies are shared by 4 people at the medium table; and 8 pies are shared by 3 people at the small table.

The amount of pie per person is found by dividing the number of pies by the number of people.

  pie/person = (12 pies)/(5 persons) = 2.40 pies/person

  pie/person = (10 pies)/(4 persons) = 2.50 pies/person

  pie/person = (8 pies)/(3 persons) ≈ 2.67 pies/person

  2.40 < 2.50 < 2.67

A person at the small table would get the most pie.

Answer:

\(2\frac{1}{5}\)

Step-by-step explanation:

11 goes into 5 two times, but we are left with a remainder of 1.

So, we can say that the mixed number would be \(2\frac{1}{5}\).

Answer:

c and e

Step-by-step explanation:

The length of ND = 3 units

The length of N'D' = 6

6 / 3 = 2

The scale factor is 2

Answer:  A) 2

Step-by-step explanation:

The shape has been enlarge which means B and D are  ruled out because if a shape gets enlarge its scale factor has to be greater than 1.

We will use the coordinate of the image of D  to find the scale factor.

Pre-image:  (2,2)   Enlarge or image: (4,4)    

So as we can see to get from 2 to 4 you will have to multiply by 2. So the scale factor is  2

The correct answer is A. No, because there are more than two possible outcomes, and the trials are not independent.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.

Given by the question.

To have a binomial distribution, four requirements must be satisfied:

There are a fixed number of trials.

Each trial has only two possible outcomes, success or failure

The trials are independent.

The probability of success remains the same for all trials.

In the given procedure, there are more than two possible outcomes, as a teenager could have committed a crime or not, but also committed different types of crimes. Additionally, the trials are not independent, as the behavior of one teenager may influence the behavior of another teenager. Therefore, the given procedure does not result in a binomial distribution.

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Answer:

Step-by-step explanation:

first you do 4 x 2x=8x

next you do 4 x 5=20

then you get 8x + 20  :)

Answer:

Step-by-step explanation:

9x - 1 / 2 + 9/2 x = 0.128886 (43)

2 / 5x - 1b = 4/3 - 1 - 1 = 2x (4)

= x1 + 24 - 3/4 + 8

9/3 - 1 x = /3

==================================

Work Shown:

L = 5 = length

W = 2 = width

H = 1.7 = height

V = volume

V = L*W*H

V = 5*2*1.7

V = 17 cubic units