Direction: Read each statement and decide whether the answer is correct or not. If the statement is correct write true, if the statement is incorrect write false and write the correct statement (5 X 2 Mark= 10 Marks)

1. PESTLE framework categorizes environmental influences into six main types.

2. PESTLE framework analysis the micro-environment of organizations.

3. Economic forces are one of the types included in PESTLE framework.

4. An organization’s strength is part of the types studied in PESTLE framework.

5. PESTLE framework provides a comprehensive list of influences on the possible success or failure of strategies.

Length of the diagonal of rectangular prism is equals to 13units.

" Rectangular prism is a three dimensional figure which has six faces in rectangular shape."

Formula used

Total surface area of the rectangular prism = 2(l b + b h +l h)

Sum of all the  edges of the prism = 4 (l +b + h)

length of the diagonal  of the prism = √l² + b² + h²

l = length of the prism

b = width of the prism

h = height of the prism

According to the question,

Given,

Total surface area of the rectangular prism = 56 units

⇒2(l b + b h +l h) = 56

Sum of all the edges of the prism = 60 units

⇒4(l + b + h) = 60

Divide both the side by 4 we get,

 (l + b + h) = 60 / 4

⇒(l + b + h) = 15                               ____(1)

Squaring both the side of (1)  we get,

  (l + b + h)² = (15)²

⇒l² + b² + h² + 2 (l b + b h +l h) = 225

Substitute the value of total surface area  to get length of the diagonal,

 l² + b² + h² + 56 = 225

⇒l² + b² + h²  = 225 - 56

⇒l² + b² + h²  = 169

⇒√l² + b² + h²  = √169

⇒√l² + b² + h²  =  13

Hence, length of the diagonal of rectangular prism is equals to 13units.

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Answer:

6%per year

Step-by-step explanation:

210000/300000=.7

it increased by 30%

30/5=6%per year

The ratio of the increase to the original will be 0.43.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Original value = $210,000

Final value = $300,000

Increment = 300000 - 210000 = 90000

The ratio of increment to original

⇒ 90000 / 210000 = 0.43

Hence "The ratio of the increase to the original will be 0.43".

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Answer:

3 m*45 this is what they thought me in middle school

The value of P is approximately 0.0082027.

To find the probability of selecting exactly three claims from one coverage and exactly two claims from one of the other coverages, we need to calculate the total number of ways to choose three claims from one coverage and two claims from another coverage, and divide it by the total number of ways to choose five claims from the portfolio.

First, let's calculate the total number of ways to choose three claims from one coverage and two claims from another coverage. We have 10 bodily injury claims and 10 property damage claims to choose from, so the number of ways to choose three claims from one coverage is 10 choose 3 (denoted as C(10, 3)), and the number of ways to choose two claims from another coverage is 10 choose 2 (denoted as C(10, 2)). Multiplying these two combinations gives us the total number of ways to choose three claims from one coverage and two claims from another coverage.

Next, let's calculate the total number of ways to choose five claims from the portfolio. We have a total of 10 bodily injury claims, 10 property damage claims, 10 worker's compensation claims, and 10 comprehensive claims to choose from, so the number of ways to choose five claims from the portfolio is 40 choose 5 (denoted as C(40, 5)).

Finally, to find the probability, we divide the total number of ways to choose three claims from one coverage and two claims from another coverage by the total number of ways to choose five claims from the portfolio.

Therefore, the probability that the selected claims contain exactly three claims from one coverage and exactly two claims from one of the other coverages can be calculated as:

P = (C(10, 3) * C(10, 2)) / C(40, 5)

P = (C(10, 3) * C(10, 2)) / C(40, 5)

ChatGPT

To solve the expression P = (C(10, 3) * C(10, 2)) / C(40, 5), we can substitute the values into the combination formulas and perform the calculations:

C(10, 3) = 10! / (3!(10-3)!) = 10! / (3! * 7!) = (10 * 9 * 8) / (3 * 2 * 1) = 120

C(10, 2) = 10! / (2!(10-2)!) = 10! / (2! * 8!) = (10 * 9) / (2 * 1) = 45

C(40, 5) = 40! / (5!(40-5)!) = 40! / (5! * 35!) = (40 * 39 * 38 * 37 * 36) / (5 * 4 * 3 * 2 * 1) = 658,008

Now, we can substitute these values into the expression:

P = (C(10, 3) * C(10, 2)) / C(40, 5) = (120 * 45) / 658,008

Performing the calculation:

P = 5,400 / 658,008

Simplifying the fraction:

P ≈ 0.0082027

Therefore, the value of P is approximately 0.0082027.

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a) The probability of a very good poker player earning a profit (more than $0) after playing 40 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31). b) The proportion of the time a very good poker player can expect to earn at least $500 after playing 100 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31).

To compute these probabilities, we need to make some assumptions and use probability distribution calculations based on the given information.

a) To determine the probability of a profit after playing 40 hands, we can use the concept of the normal distribution. We need to calculate the z-score using the formula: z = (x - μ) / σ, where x is the desired profit, μ is the expected profit per hand, and σ is the standard deviation. In this case, x = $0, μ = $1, and σ = $31.

Once we have the z-score, we can use a standard normal distribution table or calculator to find the corresponding probability.

b) Similarly, to find the proportion of the time a player can expect to earn at least $500 after playing 100 hands, we need to calculate the z-score for x = $500, using the same formula as in part (a). Then, we can use the standard normal distribution table or calculator to find the corresponding proportion.

c) To determine the probability of earning a profit during a 14-hour session, we need to calculate the number of hands played, which is 20 hands per hour multiplied by 14 hours. Let's denote it as N. Then, we can calculate the mean profit for the 14-hour session by multiplying the expected profit per hand ($1) by N.

The standard deviation for the session can be calculated by multiplying the standard deviation per hand ($31) by the square root of N. Finally, we can use the normal distribution and the same z-score calculation as in part (a) to find the probability.

Please note that the above calculations assume that the profits from each hand are independent and follow a normal distribution. Real poker outcomes may deviate from these assumptions.

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To find the amount that will be in an account, given the stated conditions, we have to use the following formula:A = P (1 + r/n)^(n*t)WhereA is the amount,P is the principal,r is the annual interest rate,n is the number of times the interest is compounded in a year,and t is the time in years.

In this case,P = $480,

t = 5 years,

r = 16%, and the interest is compounded quarterly. Therefore,

n = 4 (since there are 4 quarters in a year).Let's substitute the values in the formula and calculate:

A = 480 (1 + 0.16/4)^(4*5)

A = 480 (1 + 0.04)^20

A = 480 (1.04)^20

A = 480 (2.191E-01)

A = $1051.02Therefore, the amount that will be in the account is $1051.02, which is not one of the answer choices. Out of the given options, the closest amount to the calculated value is option A, which is $1,011.29. This could be due to rounding off errors or a typo in the options provided.

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Answer:

Please provide a question to be answered.

Answer:

Step-by-step explanation:

You can set the equation up like this

80=2x

Divide both sides by 2

x=40

Answer:

The relation is 1 digit is being added after every number in the pattern.

So, the 7th term can be found like this.

9+4=13   -4th

13+5=18   -5th

18+6=24    -6th

24+7=31      -7th

Answer:

3.375 or 3 3/8

Step-by-step explanation:

divide 2 1/4 to get 1 1/8 or 1.125 then multiply by 3 to get 3.375 or 3 3/8

a) False. Because the sampling distribution of the mean is essential in statistics, and it's not always necessary to construct it from scratch, especially when the population is large.

b)  True. It is true that the sampling distribution of the mean serves as a bridge to aid generalizations from a sample to a population.

A sampling distribution of the mean is a probability distribution that shows the values that a sample mean can take if all possible random samples of the same size and are drawn from the same population.

The sampling distribution of the mean is essential in statistics, and it's not always necessary to construct it from scratch, especially when the population is large.

When the population is large, it is likely that the sample distribution will be similar to the population distribution, and thus, there will be no need to construct a sampling distribution of the mean from scratch.

In this case, it is easier to determine the mean by observing a representative sample of the population.

According to the Central Limit Theorem (CLT), the sampling distribution of the mean serves as a bridge to aid generalizations from a sample to a population.

The theorem states that as the sample size increases, the sampling distribution becomes more similar to a normal distribution, and thus, more reliable for making generalizations about the population.

Therefore, it is true that the sampling distribution of the mean serves as a bridge to aid generalizations from a sample to a population.

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The approximate solutions for f(x) = 0 are -1.8, 0.6, and 1.2. Using  Newton's method, we can approximate the roots to be -1.8, 0.6, and 1.2. These are the three options to select as the approximate solutions for x when f(x) = 0.

To graph the function f(x) = x3 – 4x – 1, we can plot several points and connect them with a curve. Alternatively, we can use calculus to find the critical points, where the derivative is zero, and analyze the behavior of the function near those points.

Using calculus, we can find that the derivative of f(x) is f'(x) = 3x2 - 4. Setting f'(x) = 0 and solving for x, we get x = ±sqrt(4/3). We can then use the second derivative test to see that f''(sqrt(4/3)) > 0, so it is a local minimum, and f''(-sqrt(4/3)) < 0, so it is a local maximum.

Therefore, we know that f(x) has one local maximum and one local minimum. By looking at the graph or using the intermediate value theorem, we can see that f(x) changes sign at x = -2, x = 0, and x = 1.5. This means that there is at least one root in each of the intervals (-∞, -2), (-2, 0), (0, 1.5), and (1.5, ∞).

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Answer:

4 times x + 15 = 6 times x -3

(a) The fundamental matrix for the given system of equations is Φ(t) = e^(At).

Let's denote the given coefficient matrix as A:

A = [ -1 -4

      1 -1 ]

The fundamental matrix Φ(t) for the system is given by the matrix exponential of the coefficient matrix A multiplied by t:

Φ(t) = e^(At)

(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.

Finding the fundamental matrix φ(t) satisfying φ(0) = I:

To find the fundamental matrix φ(t) satisfying φ(0) = I, we substitute t = 0 into Φ(t):

φ(0) = Φ(0) = e^(A * 0) = e^(0) = I

So, the fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.

In summary, for the given system:

(a) The fundamental matrix Φ(t) is e^(At).

(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix, denoted as φ(t) = I.

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The points jada score is 159.25.

Given that james scored 182 points while playing a video game and he scored 7 times as many points as jada scored.

Let x be the points scored by james and y be the points scored by jada.

The total points scored by james and jada is 182 points.

x+y=182    .....(1)

James scored 7 times many points as jada scored.

y=7x         .....(2)

So, there are two equations and two unkowns.

Firstly, we will substitute equation (2) in equation (1), we get

x+7x=182

8x=182

Divide both sides by 8, we get

8x/8=182/8

x=22.75

Further, we will substitute the value of x in equation (2), we get

y=7×22.75

y=159.25

Hence, the jada score 159.25 when james scored 182 points while playing a video game and ahe scored 7 times as many points as jada scored.

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Answer:

-9 + 3f

Step-by-step explanation:

Solve -9 + f + 2f.

1. Combine the like terms

= -9 + 3f

The number of ducks on the farm is 12 legs / 2 legs/duck = 6 ducks.

To determine this:

Each cow has 4 legs, so the cows have 3 cows * 4 legs/cow = 12 legs.

Each chicken has 2 legs, so the chickens have 8 chickens * 2 legs/chicken = 16 legs.

We know the total number of farm animal legs is 40 legs.

So the number of duck legs can be calculated by subtracting the number of cow legs and chicken legs from the total number of farm animal legs: 40 legs - 12 legs - 16 legs = 12 legs.

Since each duck has 2 legs, the number of ducks on the farm is 12 legs / 2 legs/duck = 6 ducks.

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Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.

Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.

The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.

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The quantity theory of money is an economic theory that suggests a direct relationship between the money supply (M) and the price level (P) in an economy

According to this theory, the equation MV = PY holds, where V represents the income velocity of money and Y represents real output. This equation states that the total value of money spent in an economy (MV) is equal to the total value of goods and services produced (PY).

The quantity theory of money assumes that the velocity of money (V) and real output (Y) are relatively stable over time and that changes in the money supply (M) primarily affect changes in the price level (P). It implies that an increase in the money supply will lead to inflation, as there is more money chasing the same amount of goods and services.

Therefore, the correct answer is "static quantity theory of money," which refers to the idea that the relationship between money, velocity, price level, and real output is static and can be represented by the equation MV = PY.

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24

8

31

17

absolute value with positive numbers are always positive if I remember correctly.

oooo and the opposite

24

-8

-31

and 17

Answer:

I attached a link:)

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html?q=y%3E-2x%2B2

Answer:

(-1,0) and (0,2) for y>2x+2

(½,0) and (0,-1) for y<2x-1

Step-by-step explanation:

it can be done by two ways 1 , table

2 , x and y intercept

but there is no change in answer or solution set

please mark me as brainliest

thanks for asking

The scale factor of the the larger triangle to the smaller triangle is: 3.25.

When a figure is dilated, the figure is enlarged or reduced. The scale factor is calculated as: dimension of the new figure / corresponding dimension of the old figure.

Find the scale factor of the larger triangle to the smaller triangle:

One dimension of the larger triangle = 13

Corresponding dimension of the smaller triangle = 4

Scale factor of the dilation = 13/4

Scale factor of the dilation = 3.25

Therefore, the scale factor of the the larger triangle to the smaller triangle is: 3.25.

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The prefix length notation for the subnet mask 255.255.255.224 is /27.

The length of something refers to its size or length measured from end to end. In other words, it is the larger of an object's higher two or three geometric dimensions. For instance, a rectangle's dimensions are determined by its length and width.

The prefix-length defines a range of devices. It is represented by a slash (/) after an integer between 1 and 128.

There are 27 bits in the subnet mask 255.255.255.224 that are set to 1, giving it a prefix length of /27. Hence, /27 is used to represent the prefix length for the subnet mask 255.255.255.224.

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Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

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It is true about Marcy's survey that she wants to study all visitors of the library and due to this, her sample is not representative.

Marcy's study focuses on determining the type of books that visitors prefer to borrow. Based on this, Marcy is studying the preferences of all the visitors to the library.

The sample selected is not representative because she is only considering those that go to the children's room on a specific day and time of the week rather than all the visitors.

Based on this, it can be concluded her population is all visitors and the sample is not representative.

Note: This question is incomplete because the options are missing; due to this, I answered it based on general knowledge.

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Answer: Look at the explanation

Step-by-step explanation:

Note that I think it is the question in the math book.

Its says... (from what I see in my book)

A) Marcy’s sample is not a representative sample because not all of the  library’s visitors go to the children’s reading program.

B) Marcy’s sample is a represnetative sample of the population.

C) Marcy will get a random sample by surveying as many people in the children’s reading room as possible.

D) The population of Marcy’s study consits of all visitors of the public library.

E) The results of Marcy’s survey include a mode, but niether a mean nore a median.

The answers that are true are

A

D

E

Why?

Let’s take letter b for example. It says that Marcy’s sample is a representative sample of the population. This is wrong because she asked all the people in the children’s reading room and that is not the whole population

*Note that the whole population is the people in the library*

Marcy needs to ask people who are in and not in the children’s reading room.

I am not sure if this is correct but I hope this helps with your question.

Will someone tell me if this is correct please?

The property that justifies the statement "If 2x+5=11, then 2x=6" is the subtraction property of equality.

The subtraction property of equality states that if two quantities are equal, subtracting the same number from both sides of the equation will still result in equality.

In the given equation, 2x+5=11, we can isolate the variable x by subtracting 5 from both sides of the equation. Applying the subtraction property of equality, we have:

2x+5-5 = 11-5

Simplifying, we get:

2x = 6

The subtraction property of equality allows us to subtract 5 from both sides of the equation without changing its validity. This property is a fundamental principle in algebra that allows us to perform operations on equations while maintaining equality. Therefore, the property justifying the statement "If 2x+5=11, then 2x=6" is the subtraction property of equality.

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Answer:

7 cookies

Step-by-step explanation:

We have 3 brothers

First , Second, Third

Let the total number cookies be represented by A

1 cookie = 1

Working backwards, we start from the third brother

If we work backwards

It means he gave everything away

We start from the youngest

He was given 1/2 of what was left and 1/2 a cookie

This means,

1/2 + 1/2 = 1

The second brother

He got half of what is left and 1/2 a cookies

Half of what is left from brother

= What the youngest brother got + 1/2 + 1/2 a cookie

= 1 + 1/2 + 1/2

= 1.5 + 1/2

= 2 cookies

For the first brother

He got 1/2 of the cookies + 1/2 cookie

= 1.5 × 2 + 1/2 + 1/2 cookies

= 3 1/2 + 1/2

= 4 cookies

The first brother got 4 cookies

The second brother got 2 cookies

The third broth got 1 cookies

Based on the information given, the total number of cookies will be 7 cookies.

Based on the information given, the number of cookies that was given to the youngest child will be:

= 1/2 + 1/2 = 1

The number of cookies that the second brother will get will be:

= 1 + 1/2 + 1/2

= 2

Therefore, the number of cookies that the first brother got will be:

= 3 1/2 + 1/2

= 4

In conclusion, the total number of cookies will be:

= 1 + 2 + 4 = 7

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