At the science fair, Tanvi uses 8 fluid ounces of vinegar to make her volcano erupt. How many times can she make her volcano erupt with 1 quart of vinegar?

The probability that the system does not fail is 0.885 and since the probability of failure is high, the engineers may decide to use more advanced measures such as quadruple modular redundancy (QMR) to further increase the reliability of the system.

(a) Probability that the system does not fail

The probability of the system not failing is equal to the probability of all three components not failing.

Since the critical component has a probability of failure of 0.038 and there are three components, the probability that the critical component does not fail is given by (1 - 0.038) = 0.962.

The probability that all three components do not fail is:

Probability = 0.962 × 0.962 × 0.962 = 0.885 approximately

Therefore, the probability that the system does not fail is 0.885.

(b) Engineers decide to the probability of failure is too high for this system.

The probability of failure for the system as a whole is given by 1 - Probability of the system not failing = 1 - 0.885 = 0.115.

Since the probability of failure is high, the engineers may decide to use more advanced measures such as quadruple modular redundancy (QMR) to further increase the reliability of the system.

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Answer:

After taking cubes from each corner,no edge will

The sampling method commonly used for a life-work balance survey is probability sampling, specifically stratified random sampling. This approach involves dividing the target population into different strata or categories based on relevant characteristics (e.g., age, gender, occupation).

Limitations associated with this sampling method include:

1. Non-response bias: There is a possibility that not all selected individuals will participate in the survey, leading to non-response bias. Those who choose not to participate may have different perceptions of life-work balance, which can affect the generalizability of the findings.

2. Sampling error: Probability sampling aims to reduce sampling error by providing a representative sample of the population. However, there is still a chance that the selected sample may not perfectly reflect the entire population, resulting in sampling error. The extent of sampling error can be quantified using measures such as confidence intervals.

3. Limited generalizability: While probability sampling provides a more representative sample, the findings may still have limited generalizability to populations with different characteristics or contexts. It is important to consider the specific characteristics of the sample and the context in which the survey was conducted when interpreting and applying the results.

4. Cost and time constraints: Probability sampling can be time-consuming and expensive, especially when the target population is large or geographically dispersed. Practical constraints may limit the ability to survey a truly representative sample, and compromises may need to be made.

Overall, while probability sampling is a widely accepted method for achieving representative samples in surveys, it is essential to acknowledge and consider its limitations to ensure accurate interpretation and application of the survey findings.

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Hey there!

Option answer: \(1 \frac{1}{2} \: \: cubic \: inches\)

According to the title,

Volume = 12 × (1/2)\( {}^{3} \)

=> 12 × 1/8

=> \( \frac{12}{8} \)

=> \( \frac{3}{2} \)

=> \(1 \frac{1}{2} \)

Answer:

d

Step-by-step explanation:

first i do my formula which is length x width x height

the length is 3 the width is 2 and the height is 2 so 3x2x2 is 12

so the answer is d

Answer: $9,240

Step-by-step explanation:

If the car was sold at 40% off,

That is 40/100=0.4

selling price=$6600

So, 40% of $6600= 0.4*$6600=$2640

this means that the seller deducted this amount from his cost price to sell it to you.

Therefore,original price he bought will be a sum of both,that is

the amount he sold to you + the amount he deducted =$6600+$2640=$9,240.

Therefore the original price is $9,240

hope it’s correct !

Answer:

(40/100) × X = 6600

X = (6600×100)/40

X = 16500$

The shape of the distribution is normal

The probability is 0.7764

What is Standard Deviation?

The standard deviation is a measure of the spread or dispersion of a set of data around its mean. It is calculated by finding the square root of the variance, which is the average of the squared differences between each data point and the mean. It is used to quantify the degree of variability or diversity in the data.

(a)

The distribution of heights of young men follows a normal distribution with a mean of 69.3 inches and a standard deviation of 2.8 inches. The distribution of heights of young women also follows a normal distribution with a mean of 64.5 inches and a standard deviation of 2.5 inches.

The difference between the height of a randomly selected young man (m) and a randomly selected young woman (w) follows a normal distribution with a mean of 69.3 - 64.5 = 4.8 inches (the difference in the means) and a standard deviation of √(2.8² + 2.5²) = 3.67 inches (the square root of the sum of the variances).

The shape of the distribution of the difference between the heights of a randomly selected young man and a randomly selected young woman is also normal, since the original distributions are normal. The centre of the distribution is 4.8 inches, and the spread is 3.67 inches.

(b)

We need to find the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman, or in other words, we need to find P(m - w > 2).

Using the formula for the difference of two normal distributions, we have:

z = (2 - 4.8) / 3.67 = -0.76

We need to find the probability that a standard normal variable Z is greater than -0.76. Using a standard normal table or calculator, we find that P(Z > -0.76) = 0.7764.

Therefore, the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is approximately 0.7764.

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We can rewrite the quadratic to get the equivalent expression:

3*(x - 4)*(x + 2/3)

We want to find an expression equivalent to the quadratic equation:

3x^2 -10x -8

Remember that if the quadratic equation has the roots a and b, then we can rewrite the equation as:

3*(x - a)*(x - b)

So let's find the roots, using the quadratic formula we will get:

\(x = \frac{10 \pm \sqrt{(-10)^2 - 4*3*(-8)} }{2*3} \\\\x = \frac{10 \pm 14 }{6}\)

So the two roots are:

x = (10 + 14)/6 = 4

x = (10 - 4)/6 = -4/6 = -2/3

Then the equivalent expression is:

3*(x - 4)*(x + 2/3)

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

Step-by-step explanation:

I don't see a graph from which to choose.  Are the brackets in "[x+1]" supposed to be parentheses, or are they absolute value signs?

The graph of functions

(F(x) = (x+1), and

(F(x) = |x+1| are both attached.

The number of individuals in the sample, n = 31

A one-sample (or one mean) t-test is applied to test whether the population-parameter is significantly different from some hypothetical value.

The degrees of freedom of the t-test, df = n – 1

Given,

The degrees of freedom of the t-test, df = 30

We have to find the sample size, n = df + 1

Therefore, the number of individuals in the sample:

n = df + 1

  = 30 + 1

  = 31

That is, the number of individuals in the sample, n = 31.

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Answer:

assuming the poor grammar you mean he owed his friend 7$, bought a 9$ album with his 20$ allowance.

9 + 7 = 16

20 - 16 = 4

he's got $4.00 left.

Let x₁ ... xₙ be in observations.

b) The sufficient statistic is either the sum of xi or, equivalently, x-bar.

c) The sufficient statistic is the sum of e⁻ˣ i (ths sum of xi term does not include theta)

Given that,

Let x₁ ... xₙ be in observations.

We have to find a complete sufficient statistic

(b) f(x; theta) = (In theta) theta x / theta - 1, 0 < x < 1, theta > 1

(c) f(x; theta) = e-(x-0) exp(-e-(x-0)), - infinity < x < infinity, -infinity < theta < infinity

b)  The log-likelihood is n ln(ln theta)) - (the sum of x i) ln(theta) - n ln(theta - 1)

Note that the only term that includes both the xi and theta is( the sum of xi) ln(theta)

Therefore, the sufficient statistic is either the sum of xi or, equivalently, x-bar

c) The log-likelihood is the sum of (xi - theta) - the sum of -e^(-(x i -theta)) =the sum of xi - the sum of theta -  the sum of -e^(-(x i -theta)) =the sum of xi - the sum of theta  -e^theta ×the sum of e⁻ˣ i

Therefore, the sufficient statistic is the sum of e⁻ˣ i (ths sum of xi term does not include theta)

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Statistical significance refers to the likelihood that the association between two variables is not due to chance alone. In other words, it is a measure of the probability that the observed relationship between two variables is real and not just a result of random variation or sampling error.

When analyzing data, researchers often use statistical tests to determine whether there is a significant association between two variables. A p-value is calculated, which represents the probability that the observed relationship between the variables is due to chance. If the p-value is less than a predetermined threshold (usually 0.05), the results are considered statistically significant, and the researchers can conclude that there is a real association between the variables. It's important to note that statistical significance does not necessarily imply practical significance. Just because a relationship is statistically significant does not mean that it is important or meaningful in real-world terms. Additionally, statistical significance only tells us about the strength of the relationship between two variables, not about causation or directionality. Therefore, it is always important to interpret statistical significance in the broader context of the research question and study design.

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Answer:

Step-by-step explanation:

-4(8-3x)6x-8

Since there is nothing in between the ) and 6x the answer is

72x^2-192x-8

Is there supposed to be a - or + there? It'll change the answer.

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x + 2(-2X +1) = -2

Order of operations -

4x + -4x +2 = -2

Combine terms

4x-4x=0x

2 = -2

Answer:

no solution

Step-by-step explanation:

y = - 2x + 1 → (1)

4x + 2y = - 2 → (2)

substitute y = - 2x + 1 into (2)

4x + 2(- 2x + 1) = - 2 ← distribute parenthesis and simplify left side

4x - 4x + 2 = - 2 ( subtract 2 from both sides )

0 = - 4 ← not possible

this indicates the system of equations has no solution

(i) Assumptions of classical linear regression: linearity, independence, homoscedasticity, no perfect multicollinearity, zero conditional mean, and normality. Violation: perfect multicollinearity between X2, X3, and X4.

(ii) Omitted variable bias occurs when X4 is omitted from the model, leading to a biased estimate of β2 compared to α2 if X2 and X4 are correlated.

In the given model, the assumption of no perfect multicollinearity is violated when the regressors X2, X3, and X4 are defined as the log of per capita GDP, the log of the square of per capita GDP, and the proportion of population with graduation, respectively. X3 is a function of X2, and X4 may be correlated with both X2 and X3. This violates the assumption that the independent variables are not perfectly correlated with each other.

Omitted variable bias in β2 compared to α2 occurs when X4 is omitted from the model. This bias arises because X4 is a relevant explanatory variable that affects the dependent variable (Y), and its omission leads to an incomplete model. The bias in β2 arises from the correlation between X2 and X4. If X2 and X4 are not correlated, β2 will equal α2, and there will be no omitted variable bias. However, if X2 and X4 are correlated, omitting X4 from the model will result in a biased estimate of β2 because the omitted variable (X4) affects both Y and X2, leading to a bias in the estimation of the relationship between Y and X2.

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Answer:

  B. increase his income by $28.00

Step-by-step explanation:

You want to know what Will can do to balance his budget when he has expenses of $70, 56, 14, and 35, and income of $147.

Will's total expenses for the week are ...

  $70 +56 +14 +35 = $175

When he subtracts these from his income for the week, he finds the difference to be ...

  $147 -175 = $(-28)

The negative sign means expenses exceed income. In order for the difference to be zero (balanced budget), Will must increase income or decrease expenses, or both. Among the offered choices, the one that makes the appropriate adjustment is ...

  B. increase his income by $28.00

Answer:

the 4 pack is cheaper

Step-by-step explanation:

divide the price of the pack by the number rolls in it

4 pack is about 51 cents per roll

9 pack is 52 cents per roll

Answer:

The answer is (A) -4/3

Step-by-step explanation:

so i used the slope formula:

\(\frac{x^{2}-x^1}{y^2-y^1}}\)

Then plugged in the values:

\(\frac{-3-5}{2-(-4)} =\frac{-8}{6}\)

\(\frac{-8}{6}=\frac{-4}{3}\)

thats how i got my answer; also the y-int. is -1/3

<3 ~rere~

The quadratic model and the linear model of the table of values are the same

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

The regression equation is

y = mx + b

Where

m = SP/SSX = 28/10 = 2.8

b = MY - bMX = 22.6 - (2.8*0) = 22.6

So, we have:

y = 2.8x + 22.6

See attachment for graph (1)

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

0 X^2 +2.8 X +22.6

The regression equation is

y = ax^2 + bx + c

So, we have:

y = 0x^2 + 2.8x + 22.6

See attachment for graph (1)

The graphs look the same because when the quadratic model is simplified, it gives the linear model.

This in other words mean that:

The quadratic model and the linear model of the table of values are the same

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Answer:

Step-by-step explanation:

Acme Company:

Let the number of shirts = x

Cost = 50 + 9x

Beta Company:

Cost = 14x

50 + 9x < 14x

Subtract 9x from both sides

50 < 14x - 9x

50 < 5x

Divide both sides by 5

50/5 < x

10 < x

Minimum number of shirts for which a customer saves money by using Acme  = 11 T-shirts

Answer:

There are 40 multiples of 5.

Step-by-step explanation:

You take 10000 and subtract 8000 = 2000.

Then divide 2000 by 5.

Answer:36,37,38,39 one of the those or between

Step-by-step explanation:

Answer:

Step-by-step explanation:

In first step, we just open the brackets and you should know that ++ = + and +- = - and -- = + and -+ is also equal to -

after opening the brackets we combine terms which are a like

then any order, any grouping you can write the answer in any order and you can also take - common and it will be written as      

-(5p-7a+6)

if you multiply the minus it will be the same.

Answer:

20

Step-by-step explanation:

as we know

\( \tan {45}^{0} = 1 \\ \)

20/ 1=20

is correct answer