Describe the sampling distribution of p if a sample of size 500 is drawn from a population with p = 0.298, a. The shape is approximately normal. The mean is 0.298, and the standard deviation is 0.02. b. The shape is approximately normal. The mean is 0.013, and the standard deviation is 10.23. c. The shape is approximately normal. The mean is 0.298, and the standard deviation is 10.23. d. The shape is unknown. The mean is 0.013, and the standard deviation is 0.02. e. None of these

Answers

Answer 1

The mean is 0.298, and the standard deviation is 0.02.

The mean of the distribution is equal to the population proportion, which is 0.298, while the standard deviation is given by:

`sqrt((p*(1-p))/n)`.

Here, n=500, p=0.298

Therefore, the standard deviation of the sampling distribution is:`

sqrt((0.298*(1-0.298))/500)=0.0200`

Hence, the correct option is a.

The shape is approximately normal.

The mean is 0.298, and the standard deviation is 0.02.

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Related Questions

What is the area of a regular hexagon with an apothem of 28m in length

Answers

Step-by-step explanation:

can you check again the question , seems like something is missing.

How many solutions does the system of linear equations have? Use the drop-down menus to explain your answer.

y = 3/4x + 12
y = 4/3x
The system of linear equations will have
Choose...
no solution
exactly one solution
infanite many solutions
because the slopes of the equations are
Choose...
the same
different
, so the lines will
Choose...
not intersect at all
intercect at one point
both be the same line

Answers

Answer:

There is one equation, the slopes are different so they will intersect at one point

Step-by-step explanation:

15 POINTS PLSS HELP THIS IS MY 3RD TIME POSTING THIS BC NO ONE WILL HELP ME PLSSS AND NO WRONG ANSWERS PLS I REALLY NEED HELPP

Answers

Answer:

to find the equation of the line you use y=mx+b

Step-by-step explanation:

m means the slope and the b is the y intercept of the line. so in this case the b is 5. the m is 6 so the answer is y=6x+5

Let u(t) = 2t³i + (t²-1)j-8k. Compute the derivative of the following function. (+19+21) u(t) Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The derivative is the scalar function OB. The derivative is the vector-valued function i+ Di+ k

Answers

The correct choice is:

B. The derivative is the vector-valued function i + Di + k

The given function is u(t) = 2t³i + (t²-1)j - 8k, which represents a vector-valued function.

To compute the derivative of (19 + 21)u(t), we need to differentiate each component of the vector function with respect to t.

The scalar function (19 + 21) is a constant multiple, and when we differentiate a constant multiple of a vector function, we can simply differentiate each component of the vector function.

Taking the derivative of each component separately, we get:

d/dt (2t³i) = 6t²i

d/dt ((t²-1)j) = 2tj

d/dt (-8k) = 0

Putting the derivatives of each component together, we have:

(6t²i + 2tj + 0k) = 6t²i + 2tj

Hence, the derivative of the function (19 + 21)u(t) is the vector-valued function 6t²i + 2tj.

Therefore, the correct choice is:

B. The derivative is the vector-valued function i + Di + k

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def:This is what we call the money you get back when you pay for something.

term:

Answers

Answer:

Change

Step-by-step explanation:

I call what I get back in return, change. The money we get back if you pay extra for something you buy.

Hope this helps!

you make a one time deposit of 2000 years that earn 5% simple interest. how much interest would you earn in 2 years ?

Answers

Answer:

$2205

Step-by-step explanation:

equation set up

2000 (1.05)^2

What is 14 + 6 =
+11

Answers

Since, 14 + 6 = 20

Therefore, 14 + 6 = 9 + 11

dont forget to like and mark me

Answer:

31

Step-by-step explanation:

Simplify the expression 7 − 1x −1(−5x) − 10 + 4x

Answers

Answer: 3x-1(-5x)-3

Step-by-step explanation:

−3-x-1(-5x)+4x

-3+3x-1(-5x)

3x-1(-5x)-3

The simplified expression is 8x - 3

7 - 1x - 1(-5x) - 10 + 4x
7 + (-1x) + (5x) + (-10) + 4x
7 + (-10) + (-1x) + 5x + 4x
-3 + 8x
8x - 3

:)

A random sample of n items is to be taken from a distribution with mean μ and standard deviation o. Use the central limit theorem to determine the smallest number of items n that must be taken in order to satisfy the following relation: P(|Xn-μ<0/4) ≥ 0.99.

Answers

The given relation is P (|Xn - μ| / σ < 0.25) ≥ 0.99. We need to determine the smallest value of n that satisfies the given relation using the central limit theorem.

Step 1: We know that the standard normal distribution is used in the central limit theorem to approximate the distribution of the sample means. The standard normal distribution has a mean of zero and a standard deviation of one. We need to standardize the given relation so that we can use the standard normal distribution.

Step 2: We substitute the values from the given relation and simplify as follows: P(|Xn - μ| / σ < 0.25) ≥ 0.99P(|Xn - μ| / (o/√n) < 0.25) ≥ 0.99P((Xn - μ) / (o/√n) < 0.25) ≥ 0.99P(-0.25 < (Xn - μ) / (o/√n) < 0.25) ≥ 0.99P(Z < 0.25√n) - P(Z < -0.25√n) ≥ 0.99where Z is the standard normal random variable.

Step 3: We look up the values of -0.25√n and 0.25√n from the standard normal distribution table and find their difference. We use the absolute value of the difference since we are dealing with probabilities. We get: |P (Z < 0.25√n) - P (Z < -0.25√n) | = 0.99. Since the standard normal distribution is symmetric, we have P (Z < 0.25√n) - P (Z > 0.25√n) = 0.99We can rearrange this as: P (Z < 0.25√n) = 0.995P(Z > 0.25√n) = 0.005

Step 4: We look up the value of 0.995 from the standard normal distribution table and find its corresponding z-score. We get: z = 2.58. Using the z-score formula, we can solve for the value of 0.25√n. We get:2.58 = 0.25√nn = (2.58 / 0.25) ²n ≈ 107.58We round up to the nearest integer to get n = 108. Therefore, the smallest number of items n that must be taken in order to satisfy the given relation is 108.

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How is 0.00400068 expressed in standard scientific notation?

Answers

Answer:

4.00068 × [tex]10^{-3}[/tex]

Select the expression that is equivalent to (m2-16)

A
(m-4)2

B
(m+4)(m-4)

C
(m2+8m+16)

D
(m2-8m+16)

Answers

B because we’re looking at factoring perfect squares and the the square root of m^2 or 1^2 is 1 and that of 16 is 4

2. Columbia Records unvelled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948,

In two fomats: 10 inches in diameter and 12 Inches in diameter. If the thickness of one

vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and

12 inch records.

Answers

u can download the answer in the link

What is the image of (-10,-8) after a dilation by a scale factor of 1/2 centered at the
origin?

Answers

Answer:

(-5, -4)

Step-by-step explanation:

A dilation at the origin would just result with you multiplying the coordinates by the scale factor.

-10 * 1/2 and -8 * 1/2

Caleb has a guaranteed minimum salary of $1,200 per month, or 5.5% of his total monthly sales (as commission), whichever is higher. Last month, his total sales were $45,000. What was his gross pay?​

Answers

Answer: $1,200 + 5.5% + $45,000= 46200.055 or 46200

Step-by-step explanation: All you have to do is just add because if you read the text it has a key word total.

Caleb has a guaranteed minimum salary of $1,200 per month, or 5.5% of his total monthly sales (as commission), whichever is higher. Last month, his total sales were $45,000. What was his gross pay?​

If an argument has a self-contradictory statement as a premise, then the counterexample set of the argument is:

Answers

The counterexample set of an argument with a self-contradictory statement as a premise is empty, as there are no valid counterexamples that can be presented to contradict the argument.

If an argument has a self-contradictory statement as a premise, then the counterexample set of the argument is empty, meaning there are no counterexamples that can be provided to disprove the argument. A self-contradictory statement is one that inherently contradicts itself, containing both a proposition and its negation. Since a self-contradictory statement cannot be true, any argument that relies on such a premise is inherently flawed and cannot be logically valid.

In logic, a counterexample is a specific example or case that demonstrates the falsity or invalidity of a general statement or argument. However, when the premise itself is self-contradictory, it is impossible to find a counterexample that would refute the argument because the premise itself is contradictory.

Therefore, the counterexample set of an argument with a self-contradictory statement as a premise is empty, as there are no valid counterexamples that can be presented to contradict the argument.

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The maximum weight of a shipping container is 125 pounds. What is the maximum weight in kilograms?
a. 56.7 kg
b. 62.5 kg
c. 75 kg
d. 100 kg

Answers

The maximum weight in kilograms is approximately 56.7 kg. Hence, the correct option is (a) 56.7 kg.

The maximum weight of a shipping container is 125 pounds.

We need to find out what is the maximum weight in kilograms.

Step 1: Find out 1 pound weight in kilograms We know that 1 pound = 0.45359237 kilograms (we already know that)

Step 2: Convert the maximum weight in pounds to kilograms

Maximum weight in pounds = 125 Maximum weight in kilograms

= 125 x 0.45359237

= 56.69904625≈ 56.7 kg

Therefore, the maximum weight in kilograms is approximately 56.7 kg.

Hence, the correct option is (a) 56.7 kg.

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A portion of the Quadratic Formula proof is shown. Fill in the missing statement.
A. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
B. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times a
C. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a squared
D. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over a

Answers

The missing statement in the Quadratic Formula proof is: A. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

This statement represents the quadratic formula, where x is the variable we are solving for in the quadratic equation ax^2 + bx + c = 0. The formula gives the solutions for x in terms of the coefficients a, b, and c of the quadratic equation.

The expression (b^2 - 4ac) represents the discriminant, which determines the nature of the solutions (real, imaginary, or equal). The square root of the discriminant is taken, and then the entire expression is divided by 2a to obtain the values of x. The "plus or minus" indicates that there are two possible solutions.

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How many teams have played 20 times or more?

Answers

Answer:

3

Step-by-step explanation:

The index rises 4.9% over the course of the day. What is the value of the index at the end of the day? Round your answer to the nearest hundred.

Answers

Answer: $70400

Step-by-step explanation:

Attached is the question:

Based on the information given in the question:

Value of Stock X = 5000 × $4.30 = $21500

Value of Stock Y = 2000 × $3.20 = $6400

Value of Stock Z = 8000 × $4.90 = $39200

Total Stock Value = $67100.

Since there's a 4.9% increase in value of index, the value of the index at end of the day will be:

= $67100 × (100% + 4.9%)

= $67100 × 104.9%

= $67100 × 1.049 =

= $70388

= $70400 approximately

Answer:

$70,400

Explanation:

Ap3x

A serving of walnuts is 5/6 of a cup. How many servings are there in a 2 1/2-cup bag of walnuts?

Answers

Answer:

3

Step-by-step explanation:

5/2 ÷ 5/6 = 5/2 × 6/5

5/2 × 6/5 = 30/10 or 3

A basket contains 41 heads of lettuce, 9 of which are spoiled. If a sample of 3 is drawn and not replaced, what is the probability that all in the sample are spoiled?

Answers

The probability is approximately 0.0079, or 0.79%.

To find the probability that all three heads of lettuce in the sample are spoiled, we need to calculate the ratio of favorable outcomes to the total number of possible outcomes.

The total number of possible outcomes is the number of ways to choose 3 heads of lettuce from the 41 available in the basket without replacement. This can be calculated using the combination formula (nCr):

Total possible outcomes = 41 C 3 = (41!)/(3!(41-3)!) = (414039)/(321) = 412013 = 10,660.

The number of favorable outcomes is the number of ways to choose 3 spoiled heads of lettuce from the 9 spoiled ones in the basket:

Favorable outcomes = 9 C 3 = (9!)/(3!(9-3)!) = (987)/(321) = 84.

Therefore, the probability that all three heads of lettuce in the sample are spoiled is:

Probability = Favorable outcomes / Total possible outcomes = 84 / 10,660 ≈ 0.0079 (rounded to four decimal places).

So, the probability is approximately 0.0079, or 0.79%.

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Which equation correctly compares the tens place and ones place in 9,999?
A.
90 ÷ 9 = 10
B.
900 ÷ 9 = 100
C.
9,000 ÷ 90 = 100
D.
900 ÷ 90 = 10

Answers

Answer:

I'm pretty sure the answer is A.

Step-by-step explanation:

Since 90 plus 9 = 99 and 99 is the tens and ones place.

So, the answer should be A.

Hope this helps! :)

90 / 9 = 10 compares the tens place and one's place in 9,999. Option A is correct.

Given that,
To determine the equation correctly compare the tens place and one's place in 9,999.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
In the number 9999,
let the number on the ten places be x times the number on unit place,
90 = x * 9
x = 90 / 9
x = 10

Now,
90 / 9 = 10

Thus, 90 / 9 = 10 compares the tens place and one's place in 9,999. Option A is correct.

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14. Write the ratio of 2 cups of apple juice to 5 cups of orange juice the 3 different ways.

Answers

Answer:

1. 2:5

2. 5:2

3. 2,5

Step-by-step explanation:

Hope you have a great day

HURRY PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

option 3

Step-by-step explanation:

Answer:

wouldn't it be one, someone lmk if I'm right

Step-by-step explanation:

48 is half of 96 and the ratio says there are less trucks. 36 is the closest to 48 but still less than it.

|13 + 5| – |7 – 10|

PLEASE STEP BY STEP

Answers

Answer:

1

Step-by-step explanation:

|13 + 5| – |7 – 10| =1

Answer:

I18I-I-3I

18-3

15

Step-by-step explanation:

here is my question.

Answers

Answer:

the answer is 18

Step-by-step explanation:

9X6=54

54/3=18

Answer:

18

Step-by-step explanation:

El auto que se va a comprar Pablo necesita que un cambio de aceite cada 60.000km y de neumáticos cada 90.000km. ¿En cuántos kilómetros coincidirá por primera vez el cambio de aceite y de neumáticos?

Answers

Answer:

El cambio de aceite y de neumáticos coincidirá por primera vez en 180.000 km.

Step-by-step explanation:

Como tenemos que encontrar cuándo se realizarán los dos cambios al mismo tiempo por primera vez, esto significa que tenemos que encontrar el mínimo común múltiplo de los dos números dado que este es el múltiplo más pequeño que tienen en común esos números y es donde coinciden por primera vez. Para encontrar el mínimo común múltiplo, puedes escribir los múltiplos de cada número y encontrar los que son comunes y seleccionar el más pequeño.

Múltiplos de 60.000= 60.000, 120.000, 180.000, 240.000, 300.000, 360.000, 420.000

Múltiplos de 90.000= 90.000, 180.000, 270.000, 360.000, 450.000, 540.000, 630.000

De acuerdo a esto, el mínimo común múltiplo es 180.000 dado que es el múltiplo más pequeño en el que coinciden y la respuesta es que el cambio de aceite y de neumáticos coincidirá por primera vez en 180.000 km.

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. Complete parts (a) through (c) below. P(x) 0.00000000821 0.00000014 200,000 10,000 0.000001746 100 0.000153924 7 0.005426433 4 0.006847638 3 0.01791359 0 0.96965652079 (a) If the grand prize is $16,000,000, find and interpret the expected cash prize. If a ticket costs $1, what is your expected profit from one ticket? The expected cash prize is $ (Round to the nearest cent as needed.)

Answers

Your expected profit from one ticket, after accounting for the ticket cost, is $2. This means that, on average, you can expect to make a profit of $2 per ticket if you were to play the lottery multiple times.

To find the expected cash prize, we multiply each cash prize by its corresponding probability and sum up the results.

Expected cash prize = (0.00000000821 * $16,000,000) + (0.00000014 * $1,000,000) + (0.000001746 * $200,000) + (0.000153924 * $10,000) + (0.005426433 * $100) + (0.006847638 * $7) + (0.01791359 * $4) + (0.96965652079 * $3) + (0.01791359 * $0)

Calculating this, we get an expected cash prize of $3.00025908719.

Interpreting the result, we can say that, on average, the expected cash prize for one ticket is approximately $3. This means that if you were to play the lottery multiple times, the average amount you could expect to win per ticket would be around $3.

To calculate the expected profit from one ticket, we subtract the cost of the ticket ($1) from the expected cash prize:

Expected profit = $3 - $1 = $2.

Therefore, your expected profit from one ticket, after accounting for the ticket cost, is $2. This means that, on average, you can expect to make a profit of $2 per ticket if you were to play the lottery multiple times.

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Write a ratio of squares to circles​

Answers

Answer:

The ratio should be 2:3

Step-by-step explanation:

Hope this helped!

Answer:

2:3 or 2/3 depending on which form they want the answer in.

Step-by-step explanation:

There are 2 squares and 3 circles.

Which of the following is an example of a physical property?(55 points)

A. nail rusting

B. camp fire burning

C. Table salt melting

D. silver spoon tarnishing

Answers

It’s c I think sorry if I’m wrong, I did this lesson long time ago
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