hiii please help thanks

1. When the population mean shifts to 7.8, the probability of detecting the change is approximately 0.0495 (or 4.95%).

2.  The probability of detecting the change is 0.0495 or 4.95%.

To solve this problem, we'll use the concept of control limits and the sampling distribution of the sample means.

When the population mean shifts to 7.8: First, let's calculate the standard deviation of the sampling distribution, also known as the standard error (SE). The formula for SE is given by SE = σ / sqrt(n), where σ is the standard deviation of the population (1.0 ounce) and n is the sample size (47).

SE = 1.0 / sqrt(47) ≈ 0.145

Next, we need to determine the z-score corresponding to the lower and upper tails of the sampling distribution that capture 5% each. Since the total probability in both tails is 10%, each tail will have a probability of 5%. We can find the z-scores using a standard normal distribution table or calculator.

The z-score corresponding to the lower tail of 5% is approximately -1.645.

The z-score corresponding to the upper tail of 5% is approximately 1.645.

Now, let's calculate the lower and upper control limits:

Lower Control Limit (LCL) = Population Mean - (z * SE)

Upper Control Limit (UCL) = Population Mean + (z * SE)

LCL = 7.8 - (-1.645 * 0.145) ≈ 8.026

UCL = 7.8 + (1.645 * 0.145) ≈ 9.574

To find the probability of detecting the change, we need to calculate the area under the sampling distribution curve that falls beyond the control limits. In this case, we're interested in the area above the upper control limit.

Since the distribution is assumed to be normal, we can use the standard normal distribution's cumulative distribution function (CDF) to calculate this probability.

Probability of detecting the change = 1 - CDF(z-score for UCL)

Using the z-score for the upper control limit (UCL), we can calculate the probability.

Probability of detecting the change ≈ 1 - CDF(1.645) ≈ 0.0495

Therefore, when the population mean shifts to 7.8, the probability of detecting the change is approximately 0.0495 (or 4.95%).

When the population mean shifts to 8.6: We'll follow the same steps as before.

SE = 1.0 / sqrt(47) ≈ 0.145

The z-score corresponding to the lower tail of 5% is still approximately -1.645.

The z-score corresponding to the upper tail of 5% is still approximately 1.645.

LCL = 8.6 - (-1.645 * 0.145) ≈ 8.926

UCL = 8.6 + (1.645 * 0.145) ≈ 10.274

Probability of detecting the change = 1 - CDF(z-score for UCL)

Probability of detecting the change ≈ 1 - CDF(1.645) ≈ 0.0495

Therefore, when the population mean shifts to 8.6, the probability of detecting the change is also approximately 0.0495 (or 4.95%).

In both cases, the probability of detecting the change is 0.0495 or 4.95%.

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The probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.053. The probability that the investor will double his investment is approximately 0.315.

To find the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu, we need to calculate the probability of exactly 10 successes (perfect executions) out of the first 14 attempts and then the probability of a success on the 15th attempt. Each attempt has an 80% chance of success.

Using the binomial probability formula, the probability of exactly k successes in n attempts, with a success probability p, is given by:

\(P(X = k) = (n choose k) * (p^k) * ((1 - p)^(n - k))\)

In this case, we want to calculate\(P(X = 10) * P(X = 1) = (14 choose 10) * (0.8^10) * (0.2^4) * (0.8^1) = 0.0577 * 0.00016 ≈ 0.0092.\)

Therefore, the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.0092 or 0.92%.

To calculate the probability that the investor will double his investment, we need to consider the scenario where Marcus attempts the recipe once per day until the meeting. Since he has 6 days left and he has already executed the recipe 5 times successfully, he has 1 remaining attempt.

The probability of a success on the last attempt is 0.8, and the probability of failure is 0.2. Therefore, the probability that the investor will double his investment is P(X = 1) = 0.8.

Hence, the probability that the investor will double his investment is approximately 0.8 or 80%.

The binomial probability formula is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent Bernoulli trials. In this case, Marcus's attempts to execute the recipe can be modeled as a binomial distribution since each attempt has a fixed probability of success (80%) and the attempts are independent. By applying the formula, we can determine the probabilities associated with the number of successes and make informed decisions based on those probabilities.

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Answer:

x < 6

Step-by-step explanation:

\(\frac{x}{3}+4 < 6\)

Subtract 4 form both sides

\(\frac{x}{3}<6-4\\\\\frac{x}{3}<2\)

Multiply both sides by 3

\(x < 2*3\\\\x < 6\)

Answer:

X = 5.9- meaning 5.9 or anything under that or lets just say 5 because 5/3 = 1.6 + 4 = 5.6

Step-by-step explanation:

Have a nice day

sorry if its wrong

Answer:

Option B) His teachings became government philosophy.

Answer:

His teachings became government philosophy ..

hope it is helpful to you.

The probability that there will be a seat available for every passenger who shows up is approximately equal to 0.5 which can be considered as 150/300.

Total number of people who can take the flight = 50Let's calculate the probability that every passenger shows up. Since 5% of people won't show up, then the probability that a passenger won't show up is:100% - 5% = 95% = 0.95The probability that every passenger will show up is:0.95 * 0.95 * 0.95 * ....upto 50 times= 0.95^50Now, let's calculate the probability that there will be a seat available for every passenger who shows up:There can be at most 50 people who show up because that's all the plane can accommodate. So, out of the 52 tickets sold, we want the probability that at most 50 people show up. This is the cumulative probability distribution from 0 to 50.

So, P(<=50) = P(X=0) + P(X=1) + P(X=2) + .... + P(X=50)where X is the random variable representing the number of people who show upP(X=k) = C(52,k) * (0.95)^k * (0.05)^(52-k)C(52,k) represents the number of ways to choose k people out of 52 to show up.C(52,k) = 52!/k!(52-k)!P(X=0) = C(52,0) * (0.95)^0 * (0.05)^52 = 0.05^52 = 7.033e-73 (approx)P(X=1) = C(52,1) * (0.95)^1 * (0.05)^51 = 52 * 0.95 * 0.05^51 = 6.655e-71 (approx)P(X=2) = C(52,2) * (0.95)^2 * (0.05)^50 = 1326 * 0.95^2 * 0.05^50 = 3.759e-69 (approx)

Similary, we can calculate the probability for all values of k upto 50.Therefore,P(<=50) = P(X=0) + P(X=1) + P(X=2) + .... + P(X=50)≈ 0.999978 (approx)Therefore, the probability that there will be a seat available for every passenger who shows up is approximately equal to 0.999978.Another way to find the probability of having seat available for all passengers who show up is, let n be the total number of seats available, then the probability is given by  \(\frac{\text{N(n)}}{N(52)}\)where N(n) is the total number of ways n people can be chosen from the 52 who have bought tickets. Therefore:P(n=50)= \(\frac{N(50)}{N(52)}\)Now,N(n) = \(\frac{52!}{n!(52-n)!}\)Therefore, P(n=50) = \(\frac{N(50)}{N(52)}\) = \(\frac{\frac{52!}{50!(52-50)!}}{\frac{52!}{52!}}\)  = \(\frac{51*52/2}{52*51}\)  = 0.5Therefore, the probability that there will be a seat available for every passenger who shows up is approximately equal to 0.5 which can be considered as 150/300.

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The required equation model for the predicted value of Bruno's investment, y, after x years is y = 1000(1.07)ˣ.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the predicted value of Bruno's investment be y, after x years.
According to the question Bruno is planning to invest $1000 in an actively managed mutual fund that he predicts will average 7% annual growth.
y = 1000[1 + 0.07]ˣ
y = 1000(1.07)ˣ

Thus, the required equation model for the predicted value of Bruno's investment, y, after x years is y = 1000(1.07)ˣ.

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The cost of the inventory by FIFO is $2920.80.To calculate the cost of the inventory using the FIFO (First-In-First-Out) method, we need to consider the oldest purchases first.

Here is the breakdown of the purchases:

1. October 1: 12 pairs at $44.70 each.

2. October 8: 25 pairs at $39.70 each.

3. October 15: 20 pairs at $49.70 each.

To calculate the cost of the inventory, we first need to determine the number of pairs sold. Since 25 pairs are still in stock, we subtract that from the total number of pairs purchased:

Total pairs purchased = 12 + 25 + 20 = 57

Pairs sold = Total pairs purchased - Pairs in stock = 57 - 25 = 32

Now, we calculate the cost of the inventory by FIFO:

Cost of inventory = (12 pairs * $44.70) + (20 pairs * $39.70) + (32 pairs * $49.70)

Calculating this expression:

Cost of inventory = $536.40 + $794 + $1590.40 = $2920.80

Therefore, the cost of the inventory by FIFO is $2920.80.

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Answer:

10 1/24

Step-by-step explanation:

We will need to add the wood Jermaine has and how much he needs together. Because the fractions denominators are not equal, we will multiply them.

(3/8) × 3 = 9/24

(2/3) × 8 = 16/24

Now we can add these together.

4 9/24 + 5 16/24 = 10 1/24

The answer is simplified already.

Whole part = 10 feet

Fractional part = 1/24 of a foot (aka half an inch)

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

Explanation:

For now, let's focus on the fractions.

The new equivalent fractions formed both involve the same denominator 24, allowing us to add those fractions.

3/8 + 2/3 = 9/24 + 16/24 = (9+16)/24 = 25/24

We can then rewrite that improper fraction into a mixed number like this

25/24 = (24+1)/24

25/24 = 24/24 + 1/24

25/24 = 1 + 1/24

25/24 = 1 & 1/24

------------------------------

To recap so far, adding the fractions only gets us the mixed number 1 & 1/24

We get 1 full foot, plus an additional 1/24 of a foot

That "1 full foot" portion carries over to the whole parts 4 and 5 being added to get us 4+5+1 = 10

The whole parts add to 10 and we have the fractional part 1/24 tag along to end up with the final answer of 10 & 1/24 feet

Jermaine will need 10 full feet, plus an additional 1/24 of a foot, of lumber.

1/24 of a foot = (1/24)*12 = 12/24 = 0.5 inches

Answer:

The answer is 41

Step-by-step explanation:

Answer: 123/3 simplified is 41 or 41/1

Step-by-step explanation:

the answer is number b which is rhombus

Answer:

rhombus

Step-by-step explanation:

rhombus

a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

In this scenario, the outcome of each flip of the coin can be modeled as a Bernoulli random variable Y, where Y takes the value 1 (heads) with a probability of 0.7 and the value 0 (tails) with a probability of 0.3.

A Bernoulli random variable is a discrete random variable that can take only two possible outcomes, typically labeled as success (1) and failure (0), with a fixed probability associated with success. In this case, the outcome of each flip of the coin can be represented by the Bernoulli random variable Y, where Y = 1 represents the event of getting heads and Y = 0 represents the event of getting tails.

Given that the probability of landing on heads is 0.7, we can assign the following probabilities to the outcomes:

P(Y = 1) = 0.7 (probability of getting heads)

P(Y = 0) = 0.3 (probability of getting tails)

Thus, for each individual flip of the coin, we can use the Bernoulli random variable Y to model the outcome, where Y takes the value 1 (heads) with a probability of 0.7 and the value 0 (tails) with a probability of 0.3.

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Answer: Rider B is farther from the base of the Starflyer by the Hinge Theorem

Step-by-step explanation:

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

At least 75% of the flights (or 15 out of the 20 flights) will last between 3 days and 11 days, according to Chebyshev's Theorem.

Chebyshev's Theorem states that for any given number k greater than 1, at least (\(1-\frac{1}{k^2}\)) of the data values in any data set will fall within k standard deviations of the mean.

In this case, we can use Chebyshev's Theorem to determine the minimum number of flights that lasted between 3 and 11 days.

Given:

Mean (μ) = 7 days

Standard Deviation (σ) = 2 days

To find the number of flights within the range of 3 to 11 days, we need to calculate how many standard deviations away from the mean these values are.

Lower Bound:

Value = 3 days

Number of standard deviations away from the

\(mean = \frac{(Value - Mean)}{ Standard Deviation}\)

\(mean =\frac{(3 - 7) }{2}\)

\(mean =\frac{-4}{2}\)

\(mean = -2\)

Upper Bound:

Value = 11 days

Number of standard deviations away from the

\(mean = \frac{(Value - Mean)}{Standard Deviation}\)

\(mean = \frac{(11 - 7)}{2}\)

\(mean = \frac{4}{2}\)

\(mean = 2\)

According to Chebyshev's Theorem, the minimum proportion of data values within k standard deviations of the mean is given by \((1- \frac{1}{k^2} )\).

So, we need to determine the proportion of data within 2 standard deviations, which is k = 2.

Proportion within 2 standard deviations = \(1-\frac{1}{2^2}\)

\(=1-\frac{1}{4}\)

\(= 1 - 0.25\)

\(= 0.75\)

Now, we can find the percentage of \(0.75\):

\(= 0.75\times 100\)

\(= 75\%\)

Therefore, at least 75% of the flights (or 15 out of the 20 flights) will last between 3 days and 11 days, according to Chebyshev's Theorem.

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Answer:

57%

Step-by-step explanation:

200+245+125 = 570

570/1000 = .57

Answer:

57%

Step-by-step explanation:

First find the total number of families in the sample.

Total = 350 + 200 + 245 + 125 + 66 + 10 + 4

Total = 1000

Next find the number of families that have 3, 4 or 5 people.

Total(3,4 or 5) = 200 + 245 + 125

Total(3,4 or 5) = 570

Now the % = (Total 3,4 or 5) / Total ) * 100

% = 570 / 1000 * 100

% = 57%

Answer:

The circle's center is at (5, -2)

The radius is 4

Equation is

(x -5)^2 + (y - - 2)^2 = 4^2

(x -5)^2  + (y +2)^2 = 16

http://www.1728.org/circle.htm

Step-by-step explanation:

Answer:

The answer is 49.65

Step-by-step explanation:

99.3 divided by 2 gives you the answer.

Answer:

46.65

Step-by-step explanation:

All you have to do is the reverse of what he did, so here he multiplied his number by 2 so we divide by to get the original number.

Hope this helped!

Answer:

Step-by-step explanation:

When you take the n-th root of a number, you can rewrite the expression by taking it to the 1/n-th power. For example:

\(\sqrt[n]{x} =x^\frac{1}{n}\)

For the first expression, we can use this proprtery to get:

\(\sqrt[5]{a^x} =(a^x)^\frac{1}{5}\)

Using exponent rules, you can combine the exponents by simply multiplying them to get:

\(a^\frac{x}{5}\)

Moving on to the second expression. It is now the square root, or equivalently a 1/2 power. If we break up the terms under the radical into powers of 2, we can cancel a lot of the terms:

\(\frac{\sqrt{81a^3b^1^0} }{\sqrt{3}a } =\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }\)

The a^2 and b^10 can be taken out of the radical because they have perfect roots:

\(\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }=ab^5\frac{\sqrt{81a} }{\sqrt{3}a }\)

The square root of 81 has a perfect root of 9. We have:

\(ab^5\frac{\sqrt{81a} }{\sqrt{3}a }=9ab^5\frac{\sqrt{a} }{\sqrt{3}a }\)

You can divide 9 and the square root of 3 by breaking up 9 into a product:

\(\frac{(3*3)ab^5}{\sqrt{3} } \frac{\sqrt{a} }{a }=3\sqrt{3} ab^5\frac{\sqrt{a} }{a }\)

Simply by cancelling the 'a' terms to get:

\(3\sqrt{3} ab^5\frac{\sqrt{a} }{a }={3\sqrt{3}}\sqrt{a}b^5=3b^5\sqrt{3a}\)

Answer:

3x+2=338

3x=338-2

3x=336

x=336/3

x=112 is the answer

Step-by-step explanation:

Hope it help ^_^

Answer:

112

Step-by-step explanation:

3x + 2 = 338

     -2   =  -2                       cancel them out

3x= 336

divide by 3

x = 112

a. residual is much larger than the rest of the residual values.

In regression analysis, an outlier refers to an observation that significantly deviates from the expected pattern or trend of the data. Specifically, it is an observation whose residual (the difference between the observed value and the predicted value) is much larger than the residuals of the other observations.

Outliers can have a considerable impact on the regression model, affecting the estimated coefficients and overall model fit. It is important to identify and assess outliers to determine if they are influential or if they should be treated or removed to ensure the reliability and validity of the regression analysis.

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Answer:

8 Boxes

Step-by-step explanation:

You need to take 338 and divide it by 48. The answer is 7.04. Since you can't just buy 0.04 of a box, you need to round up. Therefore the answer is 8.

Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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Complete question :

Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.

(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.

(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?

(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.

Answer:

y = 17x + 5 ;

9 bracelets ;

Sarah is right

Step-by-step explanation:

Contents per bracelet :

Small charms per bracelet = 12

Large charms per bracelet = 5

Blank spacer charms per order = 5

Number charms, y needed for X bracelets in an order ;

1 order ; x bracelets

12 + 5 = 17 small and large charms

5 = black spacer charms per order

y = 17x + 5

B.)

Order requiring 158 charms, number of bracelets :

y = 158

158 = 17x + 5

158 - 5 = 17x

153 = 17x

x = 153 / 17

x = 9 bracelets

Order requiring 264 charms

y = 264

264 = 17x + 5

264 - 5 = 17x

259 = 17x

x = 259 / 17

x = 15.23 bracelets

Sarah is right, the number of bracelets should be a positive integer and not a decimal.

It is true given the above logical analysis to state that RS = 2UV. This is known as a conditional statement also known as an If-then-statement.

A conditional statement (also known as an If-Then Statement) is a statement that begins with a hypothesis and ends with a conclusion.

A conditional statement can also be defined as "If this happens, then that will happen." A conditional statement's hypothesis is the first, or "if" element. While the "Then" is the Conclusion.

Hence, the hypothesis from the above statement is:

IF RS = ST and ST = 2UV [Hypothesis]

Then RS = 2UV [Conclusion]


Put differently we can say

A → B and B→C; then
A → C.

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The total cost for all the items fish, fish bowl, and aquarium will be $606.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

An audit of the fundamental stock rundown for your pet shop demonstrates you want to reorder the accompanying things: 25 boxes of fish food at $9 every, 12 fish bowls at $13, and 15 aquarium extra starter packs at $15 each.

Then the total cost for all the items will be given as,

Total cost = 25 x $9 + 12 x $13 + 15 x $15

Total cost = $225 + $156 + $225

Total cost = $606

The total cost for all the items fish, fish bowl, and aquarium will be $606.

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To make the function even, the table is filled as follows:

For this problem, we have that:

f(4) = f(-4).

The needed condition is condition is given as follows:

f(-2) = f(2).

Which is used to complete the table at the beginning of the answer.

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\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

As we observe the points, we can conclude that :

Translation along x axis is ~

\(\qquad \sf  \dashrightarrow \: 1 - ( - 3)\)

\(\qquad \sf  \dashrightarrow \:1 + 3\)

\(\qquad \sf  \dashrightarrow \:4 \: \: units \: \: towards \: \: left\)

Translation along y axis ~

\(\qquad \sf  \dashrightarrow \: - 8 - ( - 13)\)

\(\qquad \sf  \dashrightarrow \: - 8 + 13\)

\(\qquad \sf  \dashrightarrow \:5 \: \: units \: \: towards \: \: down\)

So, same goes with translation of (-5 , 9)

\(\qquad \sf  \dashrightarrow \: x \: \:coordinate = - 5 - 4 = - 9\)

\(\qquad \sf  \dashrightarrow \: y \: \:coordinate = 9 - 5 = 4\)

So, the required coordinates of the image under same translation is ~

\(\qquad \sf  \dashrightarrow \:(-9, 4)\)

Answer:

Please help look at the image I need help with number 4. I already did the line plot for number 3 and the data in on the chart. Thank you! :)

Using combinatorics, the total number of different ways in which the numbers be generated is 65!.

What is combinatorics?

A branch of mathematics called combinatorics is concerned with the investigation of limited discrete structures. Enumerations of the sets of components and the study of permutations and combinations are covered. It describes the characteristics of mathematical connections.

The first number can be any of the 65 possible numbers.

The second number can be any of the remaining 64 numbers.

Similarly, the third number can be any of the remaining 63 numbers, and so on.

Use the principle of combinatorics.

Therefore, the total number of ways the numbers can be generated is -

65 x 64 x 63 x ... x 2 x 1

This is equal to 65!, which is 65 factorial notation.

Therefore, the answer is 65!.

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Answer:

A coeffient is the first number at the beginning of a problem

Ex.

2Na+3H ---> 4O+5S

2 would be the coeffient of Na

3 would be the coeffient of H

4 would be the coeffient of O

5 would be the coeffient of S

Step-by-step explanation:

Blank space 1: 3

Blank space 2: 4.242

Blank space 3: 6

Blank space 4: 6

Blank space 5: 3

This can be solved using triangle theorem.

Given that,

Liling is making a quilt. She starts with two small squares of material and cuts them along the diagonal.

The bigger square = 36 sq. in.

Then the side of the bigger square = √36 inch = 6 inch

Next, The side of the bigger square = Diagonal of the smaller square

Let the side of the smaller square = a (let)

Diagonal (smaller square): a√2 = 6 inch

so, a = 3√2 inch

Thus,  a = 3 x 1.414 = 4.242

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The complete question is as follows: