The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.09 gallons. A previous study found that for an average family the variance is 5.29 gallons and the mean is 15.6 gallons per day. If they are using a 99% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.

The solution id given by:

3.1.1 -3 + 9 = 6.

3.1.2 -3 + 8 - 1 - 7 + 12 + 1 = 10.

3.1.3 4 \(\times\) (-28) = -112.

3.14 √144 - 2¹ + (-8) = 12 - 2 + (-8) = 2.

4.1.1 Simplify: 3/64 ÷ 125/27 = 81/6400.

The simplified form of the fraction is 3/64.

3.1.1 -3 + 9:

To calculate -3 + 9, we simply add the two numbers together:

-3 + 9 = 6.

3.1.2 -3 + 8 - 1 - 7 + 12 + 1:

To calculate this expression, we can group the numbers together and then perform the addition and subtraction operations:

(-3 + 8 - 1 - 7 + 12 + 1) = -3 + 8 + 1 - 7 + 12 + 1 = 2.

3.1.3 4x(-28):

To multiply 4 by -28, we multiply the two numbers together:

4 x (-28) = -112.

3.14 √144 - 2¹ + (-8):

To simplify this expression, we start by evaluating the square root of 144:

√144 = 12.

Then we substitute the values back into the expression:

12 - 2¹ + (-8) = 12 - 2 + (-8) = 12 - 2 - 8 = 2 - 8 = -6.

4.1.1 3 64 125 27 64:

To simplify this fraction, we need to find the greatest common divisor (GCD) of the numbers in the numerator and denominator. In this case, the GCD of 64 and 125 is 1.

Dividing both the numerator and denominator by the GCD, we get:

3/64 125/1 27/64.

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The probabilities are approximately:
(a) Probability of at least 2 hours: 0.5266
(b) Probability of at most 3 hours: 0.6349
(c) Probability between 2 and 3 hours: 0.1083

To find the probabilities, we can use the cumulative distribution function (CDF) of the exponential distribution.

For an exponential distribution with mean value λ, the CDF is given by:

CDF(x) = 1 - e^(-λx)

In this case, the mean value is given as 2.675 hours. So, λ = 1/2.675 = 0.3738 (rounded to four decimal places).

(a) To find the probability that the duration of a particular rainfall event is at least 2 hours, we need to find CDF(2).

CDF(2) = 1 - e^(-0.3738 * 2) = 1 - e^(-0.7476) ≈ 0.5266 (rounded to four decimal places).

(b) To find the probability that the duration of a particular rainfall event is at most 3 hours, we need to find CDF(3).

CDF(3) = 1 - e^(-0.3738 * 3) = 1 - e^(-1.1214) ≈ 0.6349 (rounded to four decimal places).

(c) To find the probability that the duration of a particular rainfall event is between 2 and 3 hours, we subtract the probability of it being at most 2 hours from the probability of it being at most 3 hours.

Probability = CDF(3) - CDF(2) ≈ 0.6349 - 0.5266 ≈ 0.1083 (rounded to four decimal places).

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WE CAN USE THE GRAPH THAG CA HELP US IN THE PROBLEM

Answer:

Because she was mean.

Step-by-step explanation:

Get it, because she was average and mean is a synonym for that...

Creative Section - B

7. a) The average of daily income of a plumber from Sunday to Friday is Rs 1,300

in the last week. If he earned Rs 2,000 on Saturday, find

income of the week.

The decrease is 25% so this means that 22 is 75% of the original number (100% - 25% = 75%)

Divide 22 by 75%:

22/ 0.75 = 29.3

The answer is 29.3

Answer:

7:17 PM

Step-by-step explanation:

Answer:

7:17................

Star C is 69,690.66 light years away from our Sun, which was calculated by multiplying 82.9 by the distance of Star A from our Sun, then multiplying the result by 82.93 and adding it to the distance of Star B from our Sun.

Star C is 69,690.66 light years away from our Sun. To find this, we need to first find the distance of Star B from our Sun. This can be done by multiplying 82.9 by the distance of Star A from our Sun, which is 83.94. This gives us a distance of 7,012.026 for Star B from our Sun. We then multiply this by 82.93 to get Star C's distance from Star B. This gives us a distance of 583,780.36. We then add this to the distance of Star B from our Sun, giving us a total distance of 590,792.386 light years. We round this to the nearest two decimal places, which is 69,690.66 light years.

Star C is 69,690.66 light years away from our Sun, which was calculated by multiplying 82.9 by the distance of Star A from our Sun, then multiplying the result by 82.93 and adding it to the distance of Star B from our Sun.

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Answer:

How many terms are in this expression? 18 - 11w + 2

Step-by-step explanation:

Answer:

6x+y=-8 because it will be y=-6x-8 having same slope with the line given

1. 4 to 7

2. 3 even : 1 odd

3. 6 vanilla to 8 chocolate

The CpK (Capability Process Index) should be used when the process has a two-sided specification limit. (C)

The CpK is a statistical measurement that is used to assess the performance of a process relative to its specifications. It indicates how well the process is meeting the requirements specified by the customer, and whether the process is capable of producing consistent results that meet these requirements.

When a process has a two-sided specification limit, the CpK is used to determine how well the process is centered within these limits and how much variability is present in the process output.

The CpK value can range from negative infinity to infinity, with higher values indicating better process performance. In general, a CpK value above 1.33 is considered acceptable, while a value below 1.33 may indicate the need for process improvement.

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Answer:

white: w/80 = 35/100

blue: b/80 = 25/100

red: r/80 = 40/100

Step-by-step explanation:

We can show that these data can be modeled using a linear function in the following manner:

a) We must compute the differences in the number of high school graduates in each year in order to model the data using a linear function. For instance, the difference between the 1993 and 1994 graduation rates is 5,479 - 5,410, or 69. This pattern of differences suggests that a linear function can be used to model the data.

The annual change in the number of graduates serves as the slope for the linear function. The slope, for instance, is 69 between 1993 and 1994 and 76 between 1994 and 1995. The slope for the linear function is, in general, the difference between the number of graduates in successive years, therefore it is the slope between graduates in consecutive years.

b) Y = mx + b, where y is the number of graduates, x is the year, m is the slope, and b is the y-intercept, is the formula for a linear function that represents the data. We need to know the values of m and b in order to calculate the formula for the linear function that describes the data.

We can use the slope between any two consecutive years to get the value of m. For instance, m = 69 since the slope from 1993 to 1994 is 69. The number of graduates in the first year of the data, which is the y-intercept, can be used to determine the value of b.

For instance, if the first year of the data is 1993 and that year had 5,479 graduates, then b = 5,479. Consequently, y = 69x + 5,479 is the equation for the linear function that models the data.

c) Functional notation can be used to indicate the number of high school graduates in 1994. The formula is y = 69x + 5,479, where x is the year and y is the total number of graduates. Therefore, y = 69(1994) + 5,479 = 137,123 is the total number of graduates in 1994. We may enter the numbers of x and b into the formula from section c to obtain y = 69 (1994) + 5,479 = 137,123.

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Answer:

x=12 and the scale factor is 1.5

Step-by-step explanation:

From D' to F' is 7.5 and from D to F is 5cm the difference is 2.5. From F' to E' is x and from F to E is 8. This is just understanding what you can see. You find x by figuring out the ratio from 5 to 7.5 is and 8 to x or vise versa.  It depends which way you are going. I think you are going from E,D,F to E',D',F'. So from 5cm to 7.5 cm. This is 1.5 because you are dividing 7.5/5. If you needed to find x, it would be 12.

The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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Answer: The answer is 81m + 27t

Step-by-step explanation:

Answer: (3t)^t+3 and 3^t^2 x 27^t are both equivalent to the expression while 9^t x 27^t is not equivalent.

Step-by-step explanation:

a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.

b) Nyoko cannot find a value of b so that the equation has no solutions.

The equation 1 is given as follows:

6x - 5 + 2x = 4(2x - 1) - 1.

Combining the like terms and applying the distributive property, the simplified equations are given as follows:

8x - 5 = 8x - 4 - 1

8x - 5 = 8x - 5.

As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.

The equation 2 is given as follows:

3x + 7 = bx + 7.

A system of linear equations will have zero solutions when:

As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.

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Answer:

-0.099

Step-by-step explanation:

0.9 × -0.11 = -0.099

Your pfp is giving me a seizure

You're like 12

And your cringy

""Sorry to be mean XD""

Step-by-step explanation:

= ( 3x + 5 ) ( 4x² + 8x + 40 )

= 3x ( 4x² + 8x + 40 ) + 5 ( 4x² + 8x + 40 )

= 12x³ + 24x²+ 120x + 20x² + 40x + 200

= 12x³ + 24x² + 20x² + 120x + 40x + 200

= 12x³ + 44x² + 160x + 200

Answer:

12x^3 +44x^2 +160x +200

Step-by-step explanation:

Distribute:

(3x+5)(4x^2 +8x+40)

3x(4x^2 +8x+40) +5(4x^2 +8x+40)

Then it would be:

(12x^3 +24x^2 +120x) + (20x^2 + 40x +200)

therefore the soloution is:

12x^3 +44x^2 +160x +200

The symmetry of the distribution depends on the probability of success and the number of trials, as it can be skewed when the probability of success is not equal to 0.5.

A binomial experiment is characterized by certain features, and among the statements provided, the two that accurately describe these features are:
1. Trials are independent: In a binomial experiment, each trial is conducted independently of one another, meaning the outcome of one trial does not affect the outcome of any other trial. This independence ensures that the probability of success remains constant across all trials.
2. The outcome of a trial can be classified as either a success or a failure: In a binomial experiment, there are only two possible outcomes for each trial - success or failure. This simplifies the experiment's setup and makes it easier to calculate probabilities, as it focuses on the number of successful outcomes out of a fixed number of trials.
The other two statements are not accurate descriptions of a binomial experiment. The trials do not represent selection without replacement, and the distribution is not always symmetrical.

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Answer:

it equals .85 hope this helps!

Step-by-step explanation:

Answer:

74 days. thanks me later lol nag check out

Answer:

What is 540 minutes or 9 hours spent practicing soccer

Step-by-step explanation:

90*6=540 minutes

540/60(minutes in 1 hour)

Please allow me to know if this helped you by rating and clicking thank you!  Miss Hawaii

Answer:

I think it is y = -3x + 2

Step-by-step explanation:

Answer:

915

Step-by-step explanation:

V=l*w*h V=1/2*b*h*l

V of the rectangular block: 15*5*8 = 600

V of the triangular prism--it's easiest to solve half of it, then just multiply that answer by 2: 1/2*5*7*9 = 157.5

When you double it, it cancels out the 1/2

157.5*2=315

315+600=915

It's 582ft I have noclue what dude is talking about

Step-by-step explanation:

Based on the given information, we can set up the following hypotheses for the hypothesis test:

Null Hypothesis (H0): The actual proportion of people taking the cruise within 1 year is equal to the believed proportion of 5%.

Alternative Hypothesis (H1): The actual proportion of people taking the cruise within 1 year is not equal to the believed proportion of 5%.

Let p be the proportion of people taking the cruise within 1 year. We can use the sample proportion, denoted as p-hat, which is calculated as the ratio of the number of people who took the cruise within 1 year (3 in this case) to the total number of people who requested the brochures (100 in this case).

Given that the significance level is 0.05, we can use a z-test to compare the sample proportion with the believed proportion of 5%. The z-test statistic is calculated as:

z = (p-hat - p) / sqrt(p * (1 - p) / n)

where n is the sample size, which is 100 in this case.

Now we can calculate the z-test statistic and compare it with the critical value for a two-tailed test at a significance level of 0.05. If the calculated z-test statistic falls outside the critical value, we would reject the null hypothesis; otherwise, we would fail to reject the null hypothesis.

Since the sample proportion p-hat is 3/100 = 0.03, and the believed proportion p is 0.05, we can substitute these values into the z-test formula:

z = (0.03 - 0.05) / sqrt(0.05 * (1 - 0.05) / 100)

Calculating the above expression, we get the value of z. We can then compare this value with the critical value for a two-tailed test at a significance level of 0.05 from a standard normal distribution table or using a statistical calculator.

If the calculated z-test statistic falls outside the critical value, we would reject the null hypothesis and conclude that the actual proportion of people taking the cruise within 1 year is different from the believed proportion of 5%. If the calculated z-test statistic falls within the critical value, we would fail to reject the null hypothesis and not conclude that the actual proportion is different from the believed proportion.

Without the actual values of the calculated z-test statistic and the critical value, we cannot provide a specific decision for this hypothesis test. Please note that hypothesis testing requires careful consideration of the sample size, significance level, and other relevant factors, and should be conducted with caution and in consultation with a qualified statistician or expert in statistical analysis.

Time intervals = 14/7 = 2

Final Amount = 40(1/2)² = 10

Answer:

80 oz

Step-by-step explanation:

20 portions times 4 oz is 80 oz

Answer:

First blank - notation

Step-by-step explanation:

Second blank - 10

The value of x from the image attached to the task content is; 10.

It follows from the task content that the value of x is to be determined from the image attached to the task content.

Hence, since it is evident from the task the sides of the smaller triangle and the larger triangle are in the ratio; 1 : 2.

It therefore follows that the ratio of the congruent sides 3x and 4x + 20 is; 1 : 2.

Therefore, we have;

3x/(4x + 20) = 1/2

6x = 4x + 20

2x = 20

x = 10.

Ultimately, the value of x is; 10.

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