Which number contains digits where the hundreds digit is 1/10 the value of the thousands digit?

The variety of nonrandom sampling that takes proportions into consideration is: c) quota

Quota sampling is the variety of nonrandom sampling that takes proportions into consideration. In quota sampling, the researcher selects a specific number of participants from each subgroup of the population based on their proportion in the overall population. This ensures that the sample represents the different subgroups in the population proportionately.

In quota sampling, the researcher selects participants based on specific characteristics or proportions to ensure that the sample represents the target population accurately. The researcher sets quotas for different groups or segments based on known proportions or desired representation in the population.

For example, if a population consists of 60% males and 40% females, a quota sample might be designed to include the same proportions of males and females. The researcher would continue to select participants from each group until the quotas are met.

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At t = 1.5 the height is 119 feet.

Distance is the measurement of an object from a specific point in the horizontal direction, and height is the measurement of an object in the vertical direction.

Without actually measuring the distances, heights, or angles, one of the principal applications of trigonometry is to determine the angles subtended by any object at a particular position, the height of the object, or both.

Given:

A window washer drops a tool from their platform 155 ft high.

and, polynomial =  -16t² + 155 tells us the height, in feet.

Now, the height after after t = 1.5 seconds.

h(t) = -16r² + 155

h(1.5) = -16t² + 155

h(1.5) = -16(1.5)² + 155

h(1.5) = -16(2.25) + 155

h(1.5) = -36 + 155

h(1.5) = 119 feet

Hence, the height is 119 feet.

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(a) The proposition can be expressed as ∀x(Cliff(x) → ∃y(Adjacent(x, y) ∧ NonNull(y, r3))).

(b) The proposition can be expressed as ∀x(NonNull(x, r2) → (∃y(Adjacent(x, y) ∧ Hill(y)) ∧ ¬∃z(Adjacent(x, z) ∧ Hill(z) ∧ ¬(z = y)))).

(c) The proposition can be expressed as ∀x(Resource(x, r1) → (Corner(x) ∧ ¬∃y(Resource(y, r1) ∧ ¬(x = y) ∧ Adjacent(x, y)))).

(a) In propositional logic, we use quantifiers (∀ for "for every" and ∃ for "there exists") to express the properties. The proposition (a) states that for every location that is a cliff (Cliff(x)), there exists an adjacent location (Adjacent(x, y)) to it that contains some non-null quantity of resource r3 (NonNull(y, r3)).

(b) The proposition (b) states that for every location that contains some non-null quantity of resource r2 (NonNull(x, r2)), there is exactly one adjacent location (y) that is a hill (Hill(y)), and there are no other adjacent locations (z) that are hills (¬(z = y)).

(c) The proposition (c) states that resource r1 (Resource(x, r1)) can only appear in the corners of the grid (Corner(x)), and there are no other adjacent locations (y) that contain resource r1 (Resource(y, r1)).

By using logical connectives (∧ for "and," ∨ for "or," ¬ for "not"), quantifiers (∀ for "for every," ∃ for "there exists"), and predicate symbols (Cliff, NonNull, Resource, Hill, Corner), we can express these properties in propositional logic to represent the given statements accurately.

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Answer:(-3,3)

Step-by-step explanation:

Answer:

D: 2 1/2

Step-by-step explanation:

Answer:

the correct answer is.

A. 2/5

Answer:

see below

Step-by-step explanation:

My gas tank can hold 16 gallons.

I go to the station to fill it at 2 dollars a gallon.

The domain is how much gas I put in the car

The domain is the set of real number between 0 and 16 gallon

The range is the cost of my gas.  It is  the set of real numbers between 0 and 32 .00 dollars

Answer:

Create your own real-world example of a relation that is a function.

Domain: The set of: 0

Range: The set of: 16

This scenario describes a foodborne illness outbreak investigation, where several individuals with similar symptoms of food poisoning have been identified and traced back to a nearby restaurant.

In this situation, the local hospital has encountered multiple cases of individuals exhibiting symptoms consistent with food poisoning. Through interviews, it is discovered that all of them have recently dined at a nearby restaurant, indicating a potential common source of exposure. To further investigate and identify the cause of the illness outbreak, samples from the restaurant's food are collected.

These samples will undergo laboratory testing to check for the presence of pathogens, such as bacteria or viruses, that may be responsible for the foodborne illness. By analyzing the test results, health authorities can pinpoint the specific pathogen and take appropriate measures to prevent further spread and ensure the safety of the community.

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Answer:

none of these are correct

Step-by-step explanation:

Answer:

  3 mph

Step-by-step explanation:

You want to know the rate of the current if the boat speed is twice the current speed and it takes 8 hours for a trip 18 miles downriver and back.

The relationship between time, speed, and distance is ...

   time = distance/speed

If c represents the rate of the current, then the total trip time is ...

  18/(2c +c) +18/(2c -c) = 8

  6/c +18/c = 8

  24/8 = c . . . . . . . . . combine terms, multiply by c/8

  c = 3 . . . . . . the speed of the current is 3 miles per hour

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Answer:

A

Step-by-step explanation:

Answer:

The answer is C - conjugation

Hope this helps!

Answer:

Step-by-step explanation:

To find:-

Answer:-

The given coordinates of the triangle are , A(3,-4) ; B(-2,1) and C(5,0) .

To find out the coordinate of the centroid we can use the below formula ,

\(\longrightarrow \boxed{\rm{Centroid\ (G)}= \bigg(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\bigg)} \\\)

where ,

On substituting the respective values, we have;

\(\longrightarrow G =\bigg(\dfrac{3-2+5}{3},\dfrac{-4+1+0}{3}\bigg) \\\)

\(\longrightarrow G =\bigg(\dfrac{ 6}{3},\dfrac{-3}{3}\bigg) \\\)

\(\longrightarrow \boldsymbol{ G = (2,-1) }\\\)

Hence the centroid of the given triangle is (2,-1) .

Now the given equation of the line is,

\(\longrightarrow x - 3y = 4 \\\)

Convert this into slope intercept form of the line, which is,

Slope intercept form:-

\(\longrightarrow y = mx + c\\\)

where, m is the slope of the line and c is the y-intercept .

So , we have;

\(\longrightarrow -3y = 4-x\\\)

\(\longrightarrow 3y = x - 4 \\\)

\(\longrightarrow y =\dfrac{x-4}{3} \\\)

\(\longrightarrow y =\dfrac{1}{3}x-\dfrac{4}{3} \\\)

On comparing it with the slope intercept form, we have;

\(\longrightarrow m =\dfrac{1}{3}\\\)

Secondly we know that the slopes of parallel lines are equal . So the slope of the line parallel to the given line would also be ⅓ .

Now we may use point slope form of the line to find out the equation of the required line. The point slope form of the line is,

Point slope form:-

\(\longrightarrow y - y_1 = m(x-x_1) \\\)

where the symbols have their usual meaning.

Here the line will pass through the centroid of the triangle which is (2,-1) .

On substituting the respective values, we have;

\(\longrightarrow y - (-1) =\dfrac{1}{3}(x-2) \\\)

\(\longrightarrow 3( y +1) = x - 2 \\\)

\(\longrightarrow 3y + 3 = x -2\\\)

\(\longrightarrow x - 2 - 3 - 3y = 0 \\\)

\(\longrightarrow\boxed{\boldsymbol{ x - 3y - 5 =0}} \\\)

This is the required equation of the line.

To maximize the fenced area, the length of the side facing the river should be approximately 37.46 feet. Let's denote the length of the side facing the river as "x" and the length of the adjacent sides as "y." Since we want to maximize the fenced area, we need to maximize the product of x and y.

The cost of the fence facing the river is $13 per foot, so the cost for that side would be 13x. The cost for the other two sides is $4 per foot each, resulting in a combined cost of 8y.

We are given a budget of $1499, which means the total cost of the fence should not exceed this amount. Therefore, we have the equation: 13x + 8y = 1499.

To find the maximum area, we need to express y in terms of x. From the budget equation, we can solve for y: y = (1499 - 13x)/8.

The area A of the rectangle is given by A = x * y. Substituting the value of y, we have A = x * (1499 - 13x)/8.

To maximize A, we can differentiate the equation with respect to x and set the derivative equal to zero: dA/dx = (1499 - 13x)/8 - 13/8 * x = 0.

Simplifying the equation, we find 1499 - 13x - 13x = 0, which leads to 26x = 1499.

Solving for x, we get x ≈ 57.65. Since we need to round the answer to 2 decimal places, the length of the side facing the river should be approximately 37.46 feet.

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To write the quadratic function in vertex form, we need to complete the square. The given quadratic function is  h = -0.01x² + 1.18x + 2.

Divide the coefficient of x by 2, square it, and add it to both sides of the equation.
h + 0.0001x² - 1.18x = 2 + 0.0001x²
h + 0.0001(x² - 118x) = 2
Complete the square inside the parentheses by adding the square of half the coefficient of x.
h + 0.0001(x² - 118x + 5919) = 2 + 0.0001(5919)
Rewrite the quadratic as a perfect square trinomial and simplify.
h + 0.0001(x - 59)² = 2 + 0.5919
h + 0.0001(x - 59)² = 2.5919
The function in vertex form is h + 0.0001(x - 59)² = 2.5919.

To find the maximum height of the punt, we look at the vertex of the parabola. The x-coordinate of the vertex is given by -b/2a, where a is the coefficient of x^2 and b is the coefficient of x.
In this case, a = -0.01 and b = 1.18. So the x-coordinate of the vertex is -1.18/(2*(-0.01)) = 59.
Substituting this value into the function, we find the maximum height:
h + 0.0001(59 - 59)² = 2.5919
h + 0 = 2.5919
h = 2.5919

Therefore, the maximum height of the punt is 2.5919 feet.
The function in vertex form is h + 0.0001(x - 59)² = 2.5919 and the maximum height of the punt is 2.5919 feet.

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Yes, it can be concluded that this year's average time for women to finish the SF Marathon is statistically significantly different from the past year's average time based on the sample data and statistical analysis.

To determine if the difference is statistically significant, we can perform a hypothesis test. We will set up the null hypothesis (\(H_0\)) as the average time for this year's marathon being equal to the past year's average time, and the alternative hypothesis (\(H_a\)) as the average time being different.

We can use a t-test to compare the means. With a sample size of 3845 and a known population standard deviation of 1.11 hours, we can calculate the test statistic using the formula:

t = (sample mean - population mean) / (standard deviation / √sample size)

Substituting the values, we can calculate the test statistic. By comparing it to the critical value from the t-distribution, we can determine if the difference is statistically significant.

If the test statistic falls in the rejection region (outside the critical value), we reject the null hypothesis and conclude that there is a statistically significant difference between the average times. However, if the test statistic falls within the acceptance region, we fail to reject the null hypothesis, indicating no significant difference.

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In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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The measure of angle C is  30°

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

Since polygon ABCD is quadrilateral, the sum of angles in a quadrilateral is 360°. That is:

m∠C =  360 - 230 - 50-50 = 30°

Therefore, the measure of C is  30°

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Answer:

D, 25h

Step-by-step explanation:

15 is just the tax. For example, if someone spends 2 hours getting tutored, the n that person pays 2 hours multiplied by 25, which is 50 bucks in total.

Answer:

Step-by-step explanation:

You didn't post any answer choices, but the answer should be:

y = x + (0.28)x = 1.28x

Answer:

π(70)(√(70^2 + 50^2)) = π(700√74) m^3

= 18,918 m^3

Interest = $85.877 x (14/100) x 4

= $85.877 x 0.14 x 4

= $48.01656

Therefore, Henstnd would have earned an interest of approximately $48.01656 in 4 years on the deposit of $85.877 in the bank account.

To calculate the interest earned by Henstnd in 4 years on a deposit of $85.877 in a bank account with a simple interest rate of 14% per annum, we can use the formula for simple interest: Interest = Principal x Rate x Time. Substituting the values into the formula, we can determine the interest earned.

Given that the principal amount is $85.877, the interest rate is 14% per annum, and the time period is 4 years, we can calculate the interest earned using the formula for simple interest: Interest = Principal x Rate x Time.

Substituting the values into the formula, we have:

Interest = $85.877 x (14/100) x 4

= $85.877 x 0.14 x 4

= $48.01656

Therefore, Henstnd would have earned an interest of approximately $48.01656 in 4 years on the deposit of $85.877 in the bank account.

It's important to note that this calculation assumes simple interest, where the interest is calculated only on the initial principal amount and does not take into account any compounding over time.

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True. If v is an eigenvector corresponding to the eigenvalue λ, then multiplying v by a scalar c, denoted as cv, will also be an eigenvector corresponding to the same eigenvalue λ.

An eigenvector represents a direction in a vector space that remains unchanged, except for scaling, when multiplied by a specific matrix. The corresponding eigenvalue determines the magnitude of the scaling. When we multiply an eigenvector v by a scalar c, the direction of the vector remains the same, and the resulting vector cv is scaled by the same factor c.

Mathematically, if Av = λv, where A is a matrix, λ is an eigenvalue, and v is the corresponding eigenvector, then it follows that A(cv) = cAv = cλv = λ(cv). This equation shows that multiplying an eigenvector v by a scalar c preserves its status as an eigenvector, corresponding to the same eigenvalue λ.

In summary, if v is an eigenvector corresponding to λ, then multiplying it by a scalar c still results in an eigenvector corresponding to the same eigenvalue λ.

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The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

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To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).

To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.

Here are the steps:

1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.

2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.

3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.

4. Calculate P(X ≤ 10) using the binomial probability formula:

P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.

5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.

After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.

So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.

Hence, option (A) is correct.

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Answer:

sin of 90 is 1

Step-by-step explanation:

sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)

Answer:

21 rounds

Step-by-step explanation:

\(1\) \(round = 0.4km\)

\(Total\) \(distance = 8.4km\)

\(8.4/0.4\)

\(=21\)

The number of rounds he makes, if he runs a total of 8.4 km distance.

\(\large\boxed{R=\frac{Total \: distance}{Distance \: covered \: in \: 1 \: round}}\)

So, we'll have to divide the total distance covered by distance covered in 1 round.

Let's substitute according to the formula.

\(R= \frac{8.4}{0.4}\)

= 21 rounds

Hence, the number of rounds he makes, if he runs a total of 8.4 km distance is 21

3/7 produces a rational number when it is multiplied by 1/3.

A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.

An irrational number is a type of real number which cannot be represented as a simple fraction.

The product of any rational number and any irrational number is always a irrational number.

According to the given question

We have,

1/3 a rational number.

Some numbers , π,  2.236067978, 3/7, √12

Since, π is an irrational number as it is not recurring and not terminating, so its behavior is not known .

And we know that, when we multiply a rational number with a irrational number we get a irrational number.

Therefore, π × \(\frac{1}{3}\) = irrational number.

Similarly,

2.236067978.... is a irrational number because it is not terminating and not recurring. And its behavior in not known.

Therefore,   2.236067978 × \(\frac{1}{3}\) = irrational number

3/7 is a rational number

So, \(\frac{3}{7}\) × \(\frac{1}{3}\) = \(\frac{1}{7}\) is a rational number.

√12 is a irrational number.

So, √12 × \(\frac{1}{3}\) = irrational number

Hence, 3/7 produces a rational number when it is multiplied by 1/3.

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Answer:

Step-by-step explanation:

It might be the length of one of the sides of a polygon (a figure with straight sides) or the radius of a circle. ... You can find the perimeter of a regular octagon (8-sided figure with equal sides) by multiplying the length of one of the sides by 8. The area of a figure is the measure of how large its surface is. I think btw if its wrong sorry :)

Based on the given numbers, the number that is natural is only 2. √ 16.

Natural numbers in math are those numbers which are both integers and more than zero. This means that all integers from 1 to infinity are considered natural numbers.

Integers are whole numbers and do not include fractions, or decimals.

√78 = 8.83

√ 16 = 4

73.52

π = 3.14

This shows that the only natural number is √ 16 which is the same as the integer, 4. The rest are decimals are so cannot be natural numbers.

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Answer:

Step-by-step explanation:

a) x² - 10x + 25 = 0

(x-5)²=0

x-5=0

x=5

b) x² - 4x - 5 = 0

⇒ ( x 2 − 4 x + 4 ) − 5 − 4 = 0

⇒ ( x 2 − 4 x + 4 ) − 9 = 0

( x − 2 ) 2 − 9 = 0 ⇒

( x − 2 ) 2 = 9 ⇒

( x − 2 ) = ± √ 9 (don't forget the ± !) ⇒

x= − 1   x = 5