how to find sample size with unknown standard deviation

Answer:

50000. easy

Step-by-step explanation:

Answer:

50000

Step-by-step explanation:

The function f(x) = -x + 2cos(x), 0 ≤ x ≤ 2π, has a relative maximum at approximately (2.356, 1.585), points of inflection at approximately (0.785, 0.785) and (3.927, -3.927), and no asymptotes.

To analyze and graph the function f(x) = -x + 2cos(x), 0 ≤ x ≤ 2π and identify any relative extrema, points of inflection, and asymptotes, we can use a computer algebra system or a graphing calculator. Here are the results:

Relative minimum (x, y):

DNE

Relative maximum (x, y):

(x, y) ≈ (2.356, 1.585) (approximately)

Points of inflection (x, y) (smaller x-value):

(x, y) ≈ (0.785, 0.785) (approximately)

Points of inflection (x, y) (larger x-value):

(x, y) ≈ (3.927, -3.927) (approximately)

Asymptotes:

There are no asymptotes for the given function.

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An outlier in a small sample size can have a significant effect on a confidence interval. It can cause the interval to widen, leading to increased uncertainty and decreased precision in estimating the population parameter.

Confidence intervals are statistical ranges used to estimate population parameters based on sample data. In small sample sizes, each data point has a greater impact on the overall result.

An outlier, which is a data point significantly different from the rest of the sample, can distort the calculations used to construct the confidence interval. Since the interval aims to capture the true population parameter with a specified level of confidence, the presence of an outlier can lead to increased variability in the data.

As a result, the confidence interval may need to be widened to account for the potential influence of the outlier, reducing the precision and increasing the uncertainty in estimating the parameter. Therefore, outliers can have a notable effect on confidence intervals based on small sample sizes.

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Answer:

-5 13/25

Step-by-step explanation:

This is what my calculator got me

The velocity of the pendulum is approximately -2.45 inches/second.

The acceleration of the pendulum is approximately 5.13 inches/second².

To find the velocity and acceleration of the pendulum, we need to find the first and second derivatives of the function d(t).

a. The velocity of the pendulum is given by the first derivative of the function d(t):

v(t) = d'(t) = 7 * (π/3) * cos(πt/3 - 2)

To find the velocity at t = 6 seconds, we simply plug in 6 for t:

v(6) = 7 * (π/3) * cos(π(6)/3 - 2) = 7 * (π/3) * cos(4) ≈ -2.45 inches/second

So the velocity of the pendulum at 6 seconds is approximately -2.45 inches/second.

b. The acceleration of the pendulum is given by the second derivative of the function d(t):

a(t) = d''(t) = -7 * (π/3)² * sin(πt/3 - 2)

To find the acceleration at t = 6 seconds, we simply plug in 6 for t:

a(6) = -7 * (π/3)² * sin(π(6)/3 - 2) = -7 * (π/3)² * sin(4) ≈ 5.13 inches/second²

So the acceleration of the pendulum at 6 seconds is approximately 5.13 inches/second².

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1) \(\angle A \cong \angle D, \angle C \cong \angle E, \overline{AB} \cong \overline{DF}\) (given)

2) \(\triangle ABC \cong \triangle DFE\) (AAS)

3) \(\angle ACB \cong \angle DEF\) (CPCTC)

To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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Answer:

2y=9-x

y=9-x/2

9/2-x/2=mx+c

c=9/2

m=-1/2

Answer:

the answer of this question is

2y=-x+9

1. R₁ is reflexive. : False2. R is symmetric. : True3. R₁ is transitive. : True

Explanation:Let’s find the solutions one by one below :

1. R₁, is reflexive. : False

Reflexive relation is a relation that maps each element to itself. i.e, if x ∈ A, then x R x. If (i, j) ∈ R₁, then i and j both leave the same remainder on dividing by n.i.e, i = k₁n + r and j = k₂n + r where k₁, k₂ are any integers and r is the remainder then (i, j) ∈ R₁Then, i and i leave the same remainder on dividing by n, therefore (i, i) ∈ R₁.

So, R₁ is reflexive relation. Hence, the given statement is false.

2. R is symmetric. : True

Symmetric relation is a relation such that if (a, b) is in R, then (b, a) is in R. If (i, j) ∈ R, then i and j both leave the same remainder on dividing by n.i.e, i = k₁n + r and j = k₂n + r where k₁, k₂ are any integers and r is the remainder then (j, i) ∈ R.Thus, R is a symmetric relation.

Hence, the given statement is true.

3. R₁, is transitive. : True

Transitive relation is a relation such that if (a, b) and (b, c) are in R, then (a, c) is in R. Let (i, j), (j, k) ∈ R₁, theni = k₁n + r₁ and j = k₂n + r₁j = k₃n + r₂ and k = k₄n + r₂ (r₁ = r₂)where k₁, k₂, k₃, k₄ are any integers and r₁, r₂ are the remainders.Then, i = k₁n + r₁, j = k₂n + r₁ and k = k₄n + r₂i.e, i = k₁n + r₁, k = k₄n + r₂so, i and k leave the same remainder on dividing by n, therefore (i, k) ∈ R₁.

Hence, R₁ is a transitive relation. Therefore, the given statement is true.

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Answer:

a constant

Step-by-step explanation:

k is an example of a constant

Answer:

D. A Variable

Step-by-step explanation:

A variable is a letter or symbol used to represent an unknown number.

Hope I was able to help you!

Answer:

1/2 of the juice box

Step-by-step explanation:

We see that Karen has 2/3 of her juice box left. Her brother drinks 3/4 of that leftover 2/3.

First, remember that "of" in mathematics usually means to multiply. Here, since the brother drank 3/4 of the 2/3, we multiply the two:

(3/4) * (2/3) = (3 * 2) / (4 * 3) = 6 / 12 = 1/2

We understand this as 1/2 of the entire thing.

So, Karen's brother drank 1/2 of the juice box.

~ an aesthetics lover

Answer:

1/2

Step-by-step explanation:

Answer:

u = 32°

Step-by-step explanation:

Since p║q then angle u and angle y are corresponding angles meaning the equal each other.

Answer:

∠u = 32°

Step-by-step explanation:

∠u = ∠y = 32°  because they are corresponding congruent mangles

Answer:

Step-by-step explanation:

SOLVING

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

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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10000

you mutpily it

Answer:

it is 10,000

Step-by-step explanation:

because you have 100 goups of 100

Answer:

The answer is B. 4b-2

Step-by-step explanation:

Amy sold 3b-2 and Brenda sold b

If we add them together, their sum would be

3b-2+b= 4b-2

Answer:

wheres the figure ??

Step-by-step explanation:

Answer:

X=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

4(4x−4)+x+4=−46

Step 1: Simplify both sides of the equation.

4(4x−4)+x+4=−46

(4)(4x)+(4)(−4)+x+4=−46(Distribute)

16x+−16+x+4=−46

(16x+x)+(−16+4)=−46(Combine Like Terms)

17x+−12=−46

17x−12=−46

Step 2: Add 12 to both sides.

17x−12+12=−46+12

17x=−34

Step 3: Divide both sides by 17.

17x

17

=

−34

17

x=−2

Answer:

x=−2

Answer:

x=2

Step-by-step explanation:

Hope this helps!! If you need step by step I'll comment it in the comments.

The required value of the upper limit for both the integral are,
4. a = -1 or a = 1/2
5. b = 1

The limit of a sum can be used to express the definite integral of any function, or if the interval [a, b] has an antiderivative F, the definite integral of the function is the difference of the values at points a and b.

Here,

4.
Given expression,
\(= \int _{-2}^{a}x^2dx = 7/3\\= [x^3]_{-2}^a = 7 / 3\\= a^3 + 8 / 3 = 7/3\\a=-1,\:a=\frac{1}{2}-\frac{\sqrt{3}}{2}i,\:a=\frac{1}{2}+\frac{\sqrt{3}}{2}i\)

Since as mentioned that a must be greater than -2 so the considered value of a is, a = -1 and a = 1/2, and a graph of the area of the expression is shown,

Similarly,
5.
b = 1
A graph of the area under the given integration has been shown.

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Answer:

Step-by-step explanation:

To calculate Sarah's earnings, we need to break down her income into two parts: the commission she earns on income up to R5 000, and the bonus commission she earns on income above R5 000.

Commission on income up to R5 000:

Sarah's basic salary is R3 000 per month, and she earns 20% commission on income up to R5 000. So for the first R5 000 of income, Sarah's commission is:

Commission on income up to R5 000 = 20% of R5 000 = R1 000

Bonus commission on income above R5 000:

Sarah also receives a 10% bonus on top of the normal commission rate on earning above R5 000. So for the amount earned above R5 000, her commission is:

Commission on income above R5 000 = (20% + 10%) of (R12 000 - R5 000) = 30% of R7 000 = R2 100

Total earnings:

Sarah's total earnings are the sum of her basic salary and the commission she earns:

Total earnings = Basic salary + Commission on income up to R5 000 + Commission on income above R5 000

Total earnings = R3 000 + R1 000 + R2 100

Total earnings = R6 100

Therefore, Sarah earns R6 100 in total for her work to the value of R12 000.

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

52 is bigger because its so easy

A frequency distribution in which there are too many scores at the extremes of the distribution is said to be platykurtic distribution.

What is frequency distribution?

Frequency tables or charts are used to represent frequency distributions.

Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.

We are given a frequency distribution in which there are too many scores at the extremes of the distribution

This distribution is said to be platykurtic distribution because a distribution with a negative excess kurtosis value is referred to as "platykurtic." Since there are fewer extremely positive or negative events, a platykurtic distribution will have thinner tails than a normal distribution.

Hence, this type of distribution is said to be platykurtic distribution.

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The sampling technique used in this scenario is Random sampling

The correct answer is an option (a)

We know that the random sampling is nothing but a method of choosing a sample of observations from a population to make assumptions about the population. It is also called as a porbability sampling.

It  allows for the randomization of sample selection.

There are four random sampling methods –

simple random sampling,

systematic sampling,

stratified sampling,

and cluster sampling.

In random sampling, the randomized selection of a small segment of individuals or members from a whole population.

Here, the soda bottle company  have equipment that can pull every tenth bottle from the assembly line without causing a backup on the line.

Therefore,  the sampling technique used: Random

The correct answer is an option (a)

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The complete question is:

Select the sampling technique used:

A soda bottling company needs to test the quality of the bottles they produce. They have equipment that can pull every tenth bottle from the assembly line without causing a backup on the line.

a) Random

b) Stratified

c) Cluster

d) Systematic

e) Convenience

The probability that either event will occur is 0.83

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

Event A = 18

Event B = 12

Other Events = 6

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

Total = A + B + C

So, we have

Total = 18 + 12 + 6

Evaluate

Total = 36

So, we have

P(A) = 18/36

P(B) = 12/36

For either events, we have

P(A or B) = 30/36 = 0.83

Hence, the probability that either event will occur is 0.83

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I think the answer is A. I will check if it is wrong

Answer:

SAS

Step-by-step explanation:

One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS

Step-by-step explanation:

The answer to the question is 3

Answer:

3

Step-by-step explanation:

1 + X = 4

4 - 1 = X

3 = X

What is due 100.I ain't seeing any question

Answer: Students have less than a dollar.

Step-by-step explanation:

Niall has $1/2

Mary has $1/10

Jack has $1/100

Add these up to see if they reach 1.

= 1/2 + 1/10 + 1/100

Convert to decimals by dividing the numerator by the denominator:

= 0.5 + 0.1 + 0.01

= $0.61

Students have less than a dollar.

Answer:

195.5 sq. ft.

Step-by-step explanation:

If you ever wondered how to find the area of your kitchen floor using a scale drawing, you're in luck! I'm going to show you how to do it in a few easy steps. First, you need to know the scale factor, which is the ratio of the scale drawing to the actual floor. In this case, the scale factor is 1 in = 2 ft, which means that one inch on the paper is equal to two feet on the ground. Pretty neat, huh?

Next, you need to multiply the scale drawing dimensions by the scale factor to get the actual floor dimensions. For example, if the scale drawing is 5 3/4 inches long and 8 1/2 inches wide, you multiply those numbers by 2 to get 11 1/2 feet long and 17 feet wide. That's how big your kitchen floor really is!

Finally, you need to multiply the actual floor dimensions to get the area of the floor. This is where it gets tricky, because you have to deal with fractions and decimals. But don't worry, I'll walk you through it. You can use the distributive property to multiply two numbers with fractions. For example, (11 1/2) x (17) = (11 x 17) + (1/2 x 17) = 187 + 8.5 = 195.5. That's the answer! Your kitchen floor has an area of 195.5 square feet. Congratulations, you just learned how to use a scale drawing to find the area of your kitchen floor!

I hope you enjoyed this lesson and found it funny. If not, maybe you should try a different scale factor or a different kitchen. Just kidding!