Carrie divided her 36 pieces of candy with eight friends on the bus. how many pieces of candy did each friend get?

Answer:

10

Step-by-step explanation:

2x3+4

to estimate the true mean cost of a large plain pizza with a desired margin of error of $0.50 and a 95% confidence level, the sample size should be at least 62. Keep in mind that this calculation assumes a conservative estimate of the population standard deviation. Adjustments to the sample size might be necessary based on more accurate estimates or actual data.

To determine the sample size required to achieve a specific level of accuracy (margin of error) for estimating the true mean cost of a large plain pizza, we need to consider the desired confidence level and the variability of the population.

The formula to calculate the sample size for estimating the mean with a specified margin of error is:

n = (Z * σ / E)^2

Where:

n is the required sample size,

Z is the z-score corresponding to the desired confidence level,

σ is the standard deviation of the population, and

E is the desired margin of error.

Since the standard deviation of the population is not known, we typically use a conservative estimate by assuming the largest possible value. Alternatively, if there is some prior information about the population, it can be used to estimate the standard deviation.

Let's assume the desired confidence level is 95% (which corresponds to a z-score of approximately 1.96, considering a large enough sample size). Additionally, let's say the owner wants the margin of error (E) to be $0.50.

To calculate the required sample size, we need to estimate the standard deviation of the population (σ). If no prior information is available, a common approach is to use a pilot study or historical data to estimate the standard deviation. However, without this information, we can't determine the exact sample size.

In practice, it's recommended to use a larger sample size to ensure accuracy. Let's assume a conservative estimate of the population standard deviation, such as $2.00.

Using the formula:

n = (1.96 * 2.00 / 0.50)^2

n = 7.84^2

n ≈ 61.49

Since we can't have a fractional sample size, we round up to the nearest whole number:

n = 62

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With side lengths of 5 inches, 8 inches, and 20 inches, it is not possible to construct a triangle.

To construct a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, let's check the conditions:

1. The sum of the lengths of the sides 5 inches and 8 inches is 13 inches, which is less than the length of the third side, 20 inches. So, a triangle cannot be formed using these side lengths.

2. The sum of the lengths of the sides 5 inches and 20 inches is 25 inches, which is greater than the length of the third side, 8 inches. However, the difference between these two sides is 15 inches, which is less than the length of the third side, 8 inches. So, a triangle cannot be formed using these side lengths.

3. The sum of the lengths of the sides 8 inches and 20 inches is 28 inches, which is greater than the length of the third side, 5 inches. However, the difference between these two sides is 12 inches, which is less than the length of the third side, 5 inches. So, a triangle cannot be formed using these side lengths.

Therefore, it is not possible to construct a triangle with side lengths of 5 inches, 8 inches, and 20 inches.

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Answer:

3/3 gotta make it longer

Answer: 1 and 1/6

Step-by-step explanation: Find the Least Common Multiple of 3 and 2, which is 6. 2/3= 4/6 and 1/2=3/6, 4/6 + 3/6 = 7/6 or 1 and 1/2

Answer:

45440

Step-by-step explanation:

32,000*6*.07=13440

13440+32,000+45,440

The amount we have to pay at the end of the 6month period will be $33,120. The rate of interest on the loan is given as per annum and therefore; the interest is to be calculated for 6 months.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Calculation of settlement amount of loan:

Given:

Principle= $32,000

Rate= 7%

Tenure= 6 months

Interest is calculated from the following formula;

Interest= Principle x rate x tenure

Therefore the interest for the loan will be;

Interest = $32,000 x 7 x 6 months

           = 32,000 x 7/100 x 6/12

           = $1,120

The final payment for the loan will be the combination of principal and interest.

Therefore final payment = $32,000 +$1,120

                                         = $33,120

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The area of the triangle is 2.16 square meters. If  triangle has a base of 4 meters and a height of 54 centimeters.

The given triangle has a base of 4 meters and a height of 54 centimeters. To find the area of the triangle, we need to convert the height to meters to maintain consistency in units.

To convert 54 centimeters to meters, we divide by 100 since there are 100 centimeters in a meter. So, 54 centimeters is equal to 0.54 meters.

Now, we can calculate the area of the triangle using the formula: Area = (base * height) / 2.

Plugging in the values, we have: Area = (4 meters * 0.54 meters) / 2.

Multiplying the base and height gives us 2.16 square meters. Dividing by 2 gives us the final area of the triangle.

Therefore, the area of the triangle is 2.16 square meters.


To find the area of a triangle, we need the length of the base and the height. In this case, the base of the triangle is given as 4 meters, and the height is given as 54 centimeters.

Since the units for the base and height are different, we need to convert them to the same unit. We'll convert the height from centimeters to meters.

There are 100 centimeters in a meter, so to convert 54 centimeters to meters, we divide by 100. This gives us 0.54 meters.

Now that we have the base and height in meters, we can use the formula for the area of a triangle: Area = (base * height) / 2.

Plugging in the values, we get: Area = (4 meters * 0.54 meters) / 2.

Multiplying 4 and 0.54 gives us 2.16 square meters. Dividing by 2 gives us the final area of the triangle.

Therefore, the area of the triangle is 2.16 square meters.

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The researcher used cluster sampling, where high schools were chosen as clusters and all administrators from the selected schools were included in the sample.

The sampling technique used by the researcher is known as cluster sampling.

Cluster sampling involves dividing the population into groups or clusters and randomly selecting entire clusters to be included in the sample.

In this case, the high schools are considered the clusters, and the researcher randomly chose five high schools from her list.

Once the clusters are selected, all administrators from the chosen schools are included in the sample.

This is known as a "within-cluster" sampling approach, where all individuals within the selected clusters are included, rather than selecting a subset of individuals from each cluster.

Cluster sampling is often employed when it is more practical or cost-effective to sample groups rather than individuals directly.

By randomly selecting high schools as clusters, the researcher can include a representative sample of high school administrators without needing a complete list of administrators.

It is important to note that cluster sampling introduces a potential for within-cluster homogeneity, meaning that individuals within the same cluster may be more similar to each other than to individuals in other clusters.

However, this can be addressed through appropriate statistical analysis techniques that take into account the cluster structure of the data.

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Answer:

37.7

Step-by-step explanation:

Circumference = π × d = 3.14 × 12 = 37.68

Answer:

37.7

Step-by-step explanation:

circumference = πd

12(3.14) = 37.7 (nearest 1 d.p.)

Answer:

60

Step-by-step explanation:

area of triangle ACF is (1/2) (AC) (CF) = 180

area of triangle BCE = (1/2) (BC) (CE)

BC = AC/2

CE=(2/3) CF

so (1/2) (BC) (CE) = (1/2) (AC/2) (2/3)CF = (1/2)(2/3)(180) = 60 sq cm

Answer:

1. 1

2. - 1

3. - 3

4. 3

Step-by-step explanation:

please mark me as brainlest

sum of the numbers = - 3

Product of the numbers = 8

sum of squares of the numbers

Let the three terms be a - d , a , a + d.

sum of the numbers = - 3

→ a - d + a + a + d = - 3

→ 3a = - 3

→ a = - 3/3

→ a = - 1

Also,

Product of the numbers = 8

→ (a - d) * (a) * (a + d) = 8

Putting the value of a and using (a + b) * (a - b) = a² - b² we get,

→ [ (- 1)² - d² ] = 8/ - 1

→ 1 - d² = - 8

→ 1 + 8 = d²

→ 9 = d²

→ d = 3

Hence,

Now,

Finding Sum of their squares :

→ (a - d)² + a² + (a + d)²

→ ( - 4)² + ( - 1)² + (2)²

→ 16 + 1 + 4

→ 21

Hence, the sum of the squares of the three terms is 21.

I hope it will help you.

Regards.

Answer : 840

1 + 41 = 42

2 + 40 = 42

___________

20 pairs

20 × 42 = 840

Answer:

              \(\bold{S_{40}=820}\)

Step-by-step explanation:

\(1+2+3+4+ ... +40=S_{40}\\\\a_1=1\\a_{40}=40\\n=40\\\\S_n=\dfrac{a_1+a_n}2\cdot n\\\\S_{40}=\dfrac{1+40}2\cdot40=41\cdot20=820\)

Answer:

a

Step-by-step explanation:

i got it on a test

The correct probabilities are P(at least two tails) = 0. 5 and P(at least one heads) = 0. 875.

Let's calculate the probabilities based on the given sample space:

Total number of outcomes (sample space) = \(2^{3}\) = 8

P(one tails):

From the sample space, there are four outcomes that have exactly one tails: HTT, THT, TTH, TTT.

So, P(one tails) = 4/8 = 0.5

P(three heads):

From the sample space, there is only one outcome that has three heads: HHH.

So, P(three heads) = 1/8 = 0.125

P(one heads and two tails):

From the sample space, there are three outcomes that have one heads and two tails: HHT, HTH, THH.

So, P(one heads and two tails) = 3/8 = 0.375

P(at least two tails):

From the sample space, there are four outcomes that have at least two tails: TTH, THT, HTT, TTT.

So, P(at least two tails) = 4/8 = 0.5

P(at least one heads):

From the sample space, there are seven outcomes that have at least one heads: HHH, HHT, HTH, THH, THT, TTH, TTT.

So, P(at least one heads) = 7/8 = 0.875

Therefore, the correct probabilities are:

P(one tails) = 0.5

P(three heads) = 0.125

P(one heads and two tails) = 0.375

P(at least two tails) = 0.5

P(at least one heads) = 0.875

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Answer:

If jim pays the loan back in 4 1/2 years he will be paying $597.03

Step-by-step explanation:

As per simple interest, Jim owes $180 in interest.

Jim owes a balance of $680 for his loan.

"By definition, simple interest is the interest amount for a particular principal amount of money at some rate of interest."

Given, the loan amount is P = $500.

The rate of interest is i = 8% = 0.08.

The duration is \(4\frac{1}{2}\) years t = 4.5 years.

Therefore, the interest after the mentioned period

= (P × i × t)

= $(500 × 0.08 × 4.5)

= $180

Therefore, Jim owes $180 in interest if he pays it back in mentioned time period.

The balance that Jim owes for loan is

= $(500 + 180)

= $680

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Answer:

6.05 kg, 6050 grams

Step-by-step explanation:

The kilograms were already given in your question, so that's one half done.

1 kilogram is equivalent to 1000 grams. If we multiply 6.05 by 1000, then you get 6050, the measurement in grams.

Answer:

It is y>-10

Step-by-step explanation:

i did it and i got it right.

The inequality that represents elevations above -10 meters is y > -10.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The inequality y > -10 means that the elevation y of a passage is greater than -10 meters.

This represents all the elevations of passages that are above -10 meters, which is the given condition in the problem.

If the elevation is exactly -10 meters or below, then it does not meet the condition of being above -10 meters.

Therefore, any elevation that is greater than -10 meters satisfies this inequality, and any elevation that is less than or equal to -10 meters does not.

Thus,

The inequality that represents elevations above -10 meters is y > -10.

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6/50 fraction of all people in the company are women under age of 30 In a company where the ratio of men to women i 3:2.

In a company the ratio of men to women  3:2

30% of the women are under the age of 30.

suppose there are 500 people in the company

then 300 are men and 200 are women

30% of 200 = 200*30/100= 60 women are under 30

60/500= 6/50 women are under 30

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Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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Answer:

Step-by-step explanation:Here's li\(^{}\)nk to the ansly/3fcEdSxwer:

bit.\(^{}\)

To force a reaction to move forward and create more product, there are several strategies you can employ:

1. Increase the concentration of reactants: According to Le Chatelier's principle, increasing the concentration of reactants will shift the equilibrium towards the product side, promoting the forward reaction.

2. Remove products from the reaction environment: By continuously removing the products as they are formed, you can prevent the reverse reaction and push the equilibrium towards the forward reaction to produce more product.

3. Increase the temperature: In many cases, raising the temperature of a reaction will increase the reaction rate and favor the forward reaction, resulting in higher product yields. However, this may not apply to all reactions, as some reactions may be endothermic and require lower temperatures for optimal results.

4. Use a catalyst: Catalysts are substances that speed up the reaction without being consumed in the process. They provide an alternative pathway with lower activation energy, making it easier for the reaction to proceed. By introducing a catalyst, you can enhance the forward reaction and increase the product formation.

5. Adjust the pressure: For reactions involving gases, changing the pressure can influence the equilibrium position. Increasing the pressure may favor the side with fewer moles of gas, which can drive the reaction forward and increase the product yield.

It is important to note that the effectiveness of these methods depends on the specific reaction and its equilibrium constants. It is advisable to consult the relevant literature or seek the guidance of a chemist or chemical engineer when attempting to optimize a particular reaction.

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Answer:

$32

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

Let the number be x.

x + 28 = 7

x = 7 - 28

x = -21

Answer:

x=12

Step-by-step explanation:

_-----------------------

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

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

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Part a: The probability that a given battery will last between 2.3 and 3.6 years is 80.41%.

Part b: The probability that a given battery will last longer than 24 months is 97.72%.

For the given question,

The data for the storage battery are-

Part a: The probability that a given battery will last between 2.3 and 3.6 years.

Find z score for x = 2.3 years.

z(2.3) = (x - μ )/σ

Put the values,

z(2.3) = (2.3 - 3.0)/0.5

z(2.3) = -1.4

Use negative z score table;

P(z = -1.4) = 0.0808

Similarly, for x = 3.6

z = (3.6 - 3)/0.5

z = 1.2

Use positive z table;

z = 0.8849

P(2.3<x<3.6) = 0.8849 - 0.0808

P(2.3<x<3.6) = 0.8041

Thus, the probability that a given battery will last between 2.3 and 3.6 years is 80.41%.

Part b: The probability that a given battery will last longer than 24 months = 2 years.

x = 2 years

z (2) = ( 2 - 3.0 )/ 0.5

z = 2

P(x > 2) = 0.9772

Thus, the probability that a given battery will last longer than 24 months is 97.72%.

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Recursive algorithm to find the nth term is;

def find_nth_term(n):
   if n == 0:
       return 1
   elif n == 1:
       return 2
   else:
       return find_nth_term(n-1) * find_nth_term(n-2)

In order to find nth term of the sequence defined by a0 = 1, a1 = 2, and an= an−1 ·an−2, for n = 2, 3, 4, . . ., we will use a recursive algorithm. Here's how it works:

1. Define a recursive function that takes in n as an argument.
2. Check if n equals 0 or 1. If it does, return the corresponding value of a0 or a1.
3. If n is greater than 1, call the recursive function twice with arguments n-1 and n-2, and multiply the results to get the nth term.
4. Return the result.

Here's the recursive algorithm in Python code:

def find_nth_term(n):
   if n == 0:
       return 1
   elif n == 1:
       return 2
   else:
       return find_nth_term(n-1) * find_nth_term(n-2)

This algorithm calculates the nth term of the sequence by recursively calling itself with smaller arguments until it reaches the base cases (n=0 or n=1) and returns the corresponding values of a0 or a1. For larger values of n, it uses the recurrence relation an= an−1 ·an−2 to calculate the nth term.

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Answer: 58

Step-by-step explanation:

Increment of 3

4th term is 10,

5th term is 13,

6th term is 16,

7th term is 19,

8th term is 22,

9th term is 25,

10th term is 28,

11th term is 31,

12th term is 34,

13th term is 37

14th term is 40

15th term is 43

16th term is 46

17th term is 49

18th term is 52

19th term is 55

Meaning that the 20th term is 58

Answer:

a₂₀ = 58

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = a₂ - a₁ = 4 - 1 = 3 , then

a₂₀ = 1 + (19 × 3) = 1 + 57 = 58

All of the following statements are true:

a. Effective listening is vital to success in selling.

b. visual aids play a part in the listening process.

c. people can talk approximately twice as fast as they can listen.

d. you should listen closely to everything you hear.

e. listening refers to the process of trying to detect sounds.

Listening is the act of paying attention to sounds that are happening around you. It involves both hearing the sounds and interpreting what they mean. Good listening skills are important for many reasons, including being able to communicate effectively with others and understand instructions. To listen effectively, you need to be able to focus on the speaker and try to understand their perspective, rather than just waiting for your turn to talk.

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