sorry if it’s too blurry but i need help with this

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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Answer:

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

Step-by-step explanation:

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.

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 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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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!

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

Step-by-step explanation:

−3-x-1(-5x)+4x

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

3x-1(-5x)-3

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

Answer:

3

Step-by-step explanation:

Answer:

4.00068 × [tex]10^{-3}[/tex]

Step-by-step explanation:

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

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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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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Answer:

1

Step-by-step explanation:

|13 + 5| – |7 – 10| =1

Answer:

I18I-I-3I

18-3

15

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Sue in 5 years would 20, meaning Mike would be 10. Subtract 5 from Mike to get their current age.

Answer:

Mike= 10 years old

Sue= 25 years old

Step-by-step explanation:

Let the present age of Sue be s years old, while that of Mike be m years old.

Present

s= m +15 -----(1)

In 5 years

Sue's age= s +5

Mike's age= m +5

Given that Mike would be ½ of Sue's age in 5 years,

m +5= ½(s +5)

Multiply both sides by 2:

2(m +5)= s +5

Expand:

2m +10= s +5

2m +10 -5= s

s= 2m +5 -----(2)

Substitute (1) into (2):

m +15= 2m +5

2m -m= 15 -5

m= 10

Substitute m= 10 into (1):

s= 10 +15

s= 25

Thus, the present age of Mike is 10 years old and the present age of Sue is 25 years old.

Answer:

the answer is 18

Step-by-step explanation:

9X6=54

54/3=18

Answer:

18

Step-by-step explanation:

Since, 14 + 6 = 20

Therefore, 14 + 6 = 9 + 11

dont forget to like and mark me

Answer:

31

Step-by-step explanation:

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

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.

Answer:

$2205

Step-by-step explanation:

equation set up

2000 (1.05)^2

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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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

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?​

Reason:

The face cards are Jack, Queen, and King. There are 3 face cards per suit, and 4 suits, giving 3*4 = 12 face cards and 52-12 = 40 non-face cards in a standard deck.

The 52 dropped to 51 because we are not putting the 1st card back.

Multiply out those fractions:

(12/52)*(40/51) = 0.180995 approximately.

Move the decimal point two spots to the right to convert to a percentage.

0.180995 becomes 18.0995% and rounds to 18%

In a standard deck of cards, there are 12 face cards (4 kings, 4 queens, and 4 jacks) out of a total of 52 cards. The probability of drawing a face card followed by drawing a non-face card from a standard deck of cards is 18%.

To calculate the probability, we first determine the probability of drawing a face card on the first draw, which is 12/52 or 3/13. After drawing a face card, there are 51 cards remaining in the deck, of which 40 are non-face cards. Therefore, the probability of drawing a non-face card on the second draw, given that a face card was drawn on the first draw, is 40/51.

To find the overall probability of drawing a face card followed by a non-face card, we multiply the probabilities of the individual events. So the probability is (3/13) * (40/51) = 120/663, which is approximately 0.181 or 18%. Rounded to the nearest whole number, the probability is 18%.

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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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Answer:

3

Step-by-step explanation:

5/2 ÷ 5/6 = 5/2 × 6/5

5/2 × 6/5 = 30/10 or 3

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.