A spinner has two equal sections, one green and one orange. The spinner is spun three times, resulting in the sample space S = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}. If the random variable X represents the number of times orange, O, is spun, which graph represents the probability distribution?
A probability distribution is shown. The probability of 0 is 1; 1 is 3; 2 is 3; 3 is 1.
A probability distribution is shown. The probability of 0 is 0.13; 1 is 0.38; 2 is 0.38; 3 is 0.12.
A probability distribution is shown. The probability of 0 is 0.12; 1 is 0.25; 2 is 0.5; 3 is 0.12.
A probability distribution is shown. The probability of 0 is 0.12; 1 is 0.5; 2 is 0.25; 3 is 0.12.

Answer:

1. C 2.B .  

Step-by-step explanation:

answer : 1. A+ 5/4 +19/4 ,,,,, 2. 14/4 = 7/2

Hope it helps :)

ANSWER: 2

Answer:

What is the equation that models this scenario?

✔ A + 5/4 = 19/4

and

How many pounds of apples did Angelica buy?

✔ 14/4 = 7/2

Step-by-step explanation:

Hope this helps!! :)

Answer:

Exponents are a mathematical notation used to represent repeated multiplication. An exponent, also known as a power, consists of a base number and a small superscript number, which indicates how many times the base number should be multiplied by itself.

For example, in the expression 2^3, the base number is 2 and the exponent (or power) is 3. This means that 2 should be multiplied by itself three times: 2 x 2 x 2 = 8. So, 2^3 is equal to 8.

Exponents can also be negative or fractions. In these cases, the negative exponent indicates division and the fraction exponent indicates taking a root.

For instance, in the expression 2^-3, the negative exponent means that 2 is in the denominator of a fraction: 1/2 x 1/2 x 1/2 = 1/8. So, 2^-3 is equal to 1/8.

In the expression 4^(1/2), the fraction exponent means that we take the square root of 4: 2 x 2 = 4. So, 4^(1/2) is equal to 2.

Exponents have many practical applications in science, engineering, and other fields. They can be used to represent large or small quantities, as well as to simplify complex mathematical expressions.

Step-by-step explanation:

A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:

1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.

2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.

3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.

4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.

5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.

6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.

These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.

Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.

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"The time taken by the airplane to travel 1200 miles while encountering a 50 mph headwind is 3 hours."

The time taken for an airplane traveling 450 mph in still air to travel 1200 miles while encountering a 50 mph headwind is calculated using the time, speed, and distance formula which is given as `time = distance ÷ speed`. Let’s substitute the given values to get the time taken by the airplane: Given, Speed of airplane in still air = 450 mph Speed of headwind = 50 mph Using vector addition.

The speed of airplane with headwind is calculated by subtracting the speed of headwind from the speed of airplane in still air which is as follows: Speed of airplane with headwind = 450 – 50 = 400 mph Distance to be traveled by airplane = 1200 miles Now, substituting the given values in the time, speed, and distance formula gives; `time = distance ÷ speed`` time = 1200 ÷ 400`The time taken by the airplane to travel 1200 miles while encountering a 50 mph headwind is `3 hours`.

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The sequence 38, 44, 50,.... is an arithmetic sequence

The explicit rule of the sequence is an = 32 + 6n

The sequence 38, 44, 50,.... is an arithmetic sequence with the following parameters:

First term, a1 = 38

Common difference, d = 6

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 38 + (n - 1) * 6

Evaluate the product

an = 38 - 6 + 6n

This gives

an = 32 + 6n

Hence, the explicit rule of the sequence is an = 32 + 6n'

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Step-by-step explanation:

g(f(2))=3/(f(2)+2)

f(2)=4

g(f(2))=g(4)=1/2

Answer:

x=5

Step-by-step explanation:

\(2 {x}^{2} = 50\)

\( {x}^{2} = \frac{50}{2} \)

\( {x}^{2} = 25\)

\(x = \sqrt{25} \)

\(x = 5\)

Answer:

.50=.25x   x= Minutes of watching the film.

Step-by-step explanation:

Answer:

35/12

tan Q = 12/35

so cotan Q = 35/12

The intermediate step of x² - 4x = 45 is (x- 2)² = 49

The equation is given as:

x² - 4x = 45

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add 4 to both sides of x² - 4x = 45

x² - 4x + 4= 45 + 4

This gives

x² - 4x + 4= 49

Express as perfect square

(x- 2)² = 49

Hence, the intermediate step of x² - 4x = 45 is (x- 2)² = 49

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The expression to represent the number of candy bars Billy sold is 650/d. To figure out how many candy bars Billy sold for the fundraiser, we can use the formula:

(Number of candy bars sold) = (total amount of money raised) / (price per candy bar)

In this case, we know that Billy sold $650 worth of candy bars, and each candy bar was sold for $d. So, the expression to represent how many candy bars Billy sold would be:

(number of candy bars sold) = $650 / $d

Since we don't know the exact value of d, we cannot simplify this expression further. However, we do know that Billy was able to raise a considerable amount of money for the new gymnasium, which is great news for the school community. Fundraisers like these are important for schools to generate the resources they need to support various programs and facilities, and it's great to see students getting involved and making a difference.

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Answer:

y=x+4

Step-by-step explanation:

Use slope formula: (y2-y1)/(x2-x1)

(6-4)/(2-0)

2/2

1

Slope Intercept Form: y = m(slope) times x plus b(y-intercept)

y=1x+b

Plug in one of your points into the equation:

4=1(0)+b

4=0+b

4=b

Final Answer: y=x+4

Sorry if this is confusing; this is my first answer.

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=24\\ y=1 \end{cases} \\\\\\ 1=\cfrac{k}{24}\implies 24=k\hspace{9em}\boxed{y=\cfrac{24}{x}} \\\\\\ \textit{when x = 3, what's "y"?}\qquad y=\cfrac{24}{3}\implies y=8\)

Answer:

\(\frac{-1+1}{0-(-2)}=0\)

\(ANSWER: A)~0\)

------------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

P(X ≤ 4) by using the Cumulative Poisson Probabilities table in : P(X ≤ 4) = 0.785.

In this problem, we are given that the number of failures X in a cast-iron pipe of a particular length follows a Poisson distribution with an expected value (mean) of μ = 1.

To find P(X ≤ 4), we need to calculate the cumulative probability up to 4, which includes the probabilities of 0, 1, 2, 3, and 4 failures. We can use the Cumulative Poisson Probabilities table in the Appendix of Tables to find the cumulative probabilities.

From the table, we can look up the values for each number of failures and add them up to find P(X ≤ 4).

The cumulative probabilities for each value of k are:

P(X = 0) = 0.367

P(X = 1) = 0.736

P(X = 2) = 0.919

P(X = 3) = 0.981

P(X = 4) = 0.996

P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.367 + 0.736 + 0.919 + 0.981 + 0.996 = 0.785

Therefore, P(X ≤ 4) is approximately 0.785 (rounded to three decimal places).

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Complete question

The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"† proposed using the Poisson distribution to model the number of failures in pipelines of various types. Suppose that for cast-iron pipe of a particular length, the expected number of failures is 1 (very close to one of the cases considered in the article). Then X, the number of failures, has a Poisson distribution with μ = 1. (Round your answers to three decimal places.)

(a) Obtain P(X ≤ 4) by using the Cumulative Poisson Probabilities table in the Appendix of Tables. P(X ≤ 4) =

answer:

the slope is: 3 over 2

the y intercept is: negative 3

explanation:

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Answer:

1 1/4 hours

Step-by-step explanation:

1.Tom slept the most on the night he slept 8 2/4 hours.

2.Tom slept the least on the night he slept 7 1/4 hours

3.To determine the difference between the night he slept the most and the night he slept the least, we subtract the two values.

4.The difference between the night Tom slept the most and the night Tom slept the least is 1 1/4

So your answer is  1 1/4 hours! :)

Answer:

Step-by-step explanation:

80:50:20 or 8:5:2. 8 ÷ 15 * 30 = 16 = 16 - 10 = 6. This is the solution.

Option E will be the answer.

The probability of exactly one successes in five trials  is 0.20

From the question, we have the following parameters that can be used in our computation:

The probability is calculated as

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

Where

n = 5

p = 5%

x = 1

Substitute the known values in the above equation, so, we have the following representation

P(1) = 5C1 * (5%)^1 * (1 - 5%)^(5 -1)

Evaluate

P(1) = 0.20

HEnce, the probability value is 0.20

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Answer:

20% increase in expenses

Step-by-step explanation:

Since 120 is bigger than 100, the money spent will increase.

120 / 100 = 1.20

That is 20%.

The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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Shama needs to buy 10 plants for her garden.

From the graph, we have

Area = 8 * 5 = 40

To determine how many plants Shama needs to buy, we need to use the given rule that she buys 1 plant for every 4 square feet of the garden.

Therefore, we can divide the total area of the garden by 4 to find how many plants she needs to buy:

Number of plants = Area of garden ÷ 4

Substituting the given values, we get:

Number of plants = 40 ÷ 4

Number of plants = 10

Therefore, Shama needs to buy 10 plants for her garden.

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The estimated standard error for the sample mean for each of the following samples is

SE ≈ 10.

SE ≈ 4.4

SE ≈ 2.2

To find the estimated standard error of the sample mean (SM), we use the formula:

\(SE = \sqrt(SS / (n - 1)) / \sqrt(n)\)

where SS is the sum of squares, n is the sample size, and SE is the estimated standard error.

For n = 9 and SS = 1152, we have:

\(SE = \sqrt(1152 / (9 - 1)) / \sqrt(9) \approx 10.4\)

For n = 16 and SS = 540, we have:

\(SE = \sqrt(540 / (16 - 1)) / \sqrt(16) \approx 4.4\)

For n = 25 and SS = 600, we have:

\(SE = \sqrt(600 / (25 - 1)) / \sqrt(25) \approx 2.2\)

Therefore, the estimated standard error for the sample mean for each of the given samples are:

SE ≈ 10.4

SE ≈ 4.4

SE ≈ 2.2

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Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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