Mrs.Montana has five students namely:rodley,cristina,christian,elsa and made .Count all the letters in each name.In which of the following sets the order of the names least to greatest.ARodley,cristina,Christian,mae,elsa
Bcristina,Christian elsa mae rodley
c Mae elsa rodley cristina Christian
D Christian Cristina rodley mae elsa

Answers

Answer 1
Answer:

Answer:

C

Step-by-step explanation:

Mae, Elsa, Rodley, Cristina, Christian


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Suppose that a random sample of size 36 is to be selected from a population with mean 50 and standard deviation 7. What is the approximate probability that will be within 0.5 of the population mean?

Answers

Answer:

The probability that the sample mean will be within 0.5 of the population mean is 0.3328.

Step-by-step explanation:

It is provided that a random variable X has mean, μ = 50 andstandard deviation, σ = 7.

A  random sample of size, n = 36 is selected.

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

\mu_(\bar x)=\mu=50

And the standard deviation of the distribution of sample mean is given by,

\sigma_(\bar x)=(\sigma)/(√(n))=(7)/(√(36))=1.167

So, the distribution of the sample mean of X is N (50, 1.167²).

Compute the probability that the sample mean will be within 0.5 of the population mean as follows:

P(|\bar X-\mu_(\bar x)|\leq 0.50)=P(-0.50<(\bar X-\mu_(\bar x))<0.50)

                               =P((-0.50)/(1167)<(\bar X-\mu_(\bar x))/(\sigma_(\bar x))<(0.50)/(1.167))\n\n=P(-0.43<Z<0.43)\n\n=P(Z<0.43)-P(Z<-0.43)\n\n=0.66640-0.33360\n\n=0.3328

Thus, the probability that the sample mean will be within 0.5 of the population mean is 0.3328.

Final answer:

To approximate the probability that the sample mean will be within 0.5 of the population mean, we can use the Central Limit Theorem. This theorem states that the sampling distribution of the sample means will be approximately normal, regardless of the shape of the population distribution, as long as the sample size is large enough. To calculate the probability, we need to find the standard error of the mean (SE), calculate the z-score for the upper bound of 0.5 deviations above the mean, and then find the cumulative probability corresponding to that z-score using a z-table or calculator.

Explanation:

To find the approximate probability that the sample mean will be within 0.5 of the population mean, we can use the Central Limit Theorem. According to the Central Limit Theorem, the sampling distribution of the sample means will be approximately normal, regardless of the shape of the population distribution, as long as the sample size is large enough (typically n ≥ 30).

  1. Calculate the standard error of the mean (SE) using the formula SE = σ/√n, where σ is the standard deviation of the population and n is the sample size. In this case, σ = 7 and n = 36, so SE = 7/√36 = 7/6 = 1.1667.
  2. Next, calculate the z-score corresponding to the upper bound of 0.5 deviations from the mean by using the formula z = (X - μ)/SE, where X is the value 0.5 deviations above the mean (50 + 0.5 = 50.5 in this case), μ is the mean of the population, and SE is the standard error of the mean. The z-score for 0.5 deviations above the mean can be calculated as z = (50.5 - 50)/1.1667 ≈ 0.4292.
  3. Finally, use a z-table or a calculator to find the probability corresponding to the z-score found in the previous step. The probability can be determined by subtracting the cumulative probability of the lower bound (z = -0.4292) from the cumulative probability of the upper bound (z = 0.4292). This can be expressed as p = P(Z < 0.4292) - P(Z < -0.4292).

Using a standard normal distribution table or a calculator, the approximate probability that the sample mean will be within 0.5 of the population mean is the difference between the cumulative probabilities of the upper and lower bounds found in step 3.

Learn more about Central Limit Theorem here:

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The total cost for 5 lb of chicken is $26.25. What is the cost of 1 lb of chicken?

Answers

Answer:

$5.25

Step-by-step explanation:

$26.25 divided by 5 is $5.25

Answer:

$5.25 for 1 lb of chicken

Step-by-step explanation:

How did I get $5.25?? 26.25 / 5 = 5.25

1 *  5.25 = $5.25

2 * 5.25 = $10.50

3 * 5.25 = $15.75

4 * 5.25 = $21

5 * 5.25 = $26.25

Do these pairs of values (x and y) represent two quantities that are proportional?HELP ME PLEASE

Answers

Yes, it is proportional. The answer would be B.

Explanation:

The common difference in the X factors is 2, and t he common difference in the y factors is 1.

Answer:

its b but i am not sure because my text was different

8 pencils and one eraser cost $1.35 and 6 pencils and one eraser cost $1.05. How much does one pencil cost?

Answers

Answer:

one pencil cost  $0.15

Step-by-step explanation:

Answer: $0.15 and/or 15 cents

Explanation: If you use common sense, information provided, and basic math, you notice that after 2 pencils were removed the total cost dropped 30 cents/$0.30; therefore, after 2 pencils are taken away the cost drops 30 cents and to find the price for one pencil all you have to do is divide 30/2 and you get 15 cents and/or $0.15.

What is 384893x8 bsnqnwvabna

Answers

Answer:

3079144

Step-by-step explanation:

A landlord hires a plumber to fix a burst pipe in a basement. Theplumber charges a one-time service charge of $80 plus an hourly fee.
The total cost the landlord had to pay the plumber for 3 hours of work
was $350.
Write an equation to represent
the situation:
Solve the equation to find the
plumber's hourly fee:
Type your equation here
Solve your equation here

Answers

Answer:

Step-by-step explanation:

80x3=240

350-240=110

Answer:

answerr above me

Step-by-step explanation: