an older apartment building is having water quality problems, in order to determine if there have been any adverse health outcomes in the building, you are going to collect information on the residents of the building: 1. if you have collected data on all persons living in the apartment building, is this a census or a sample? 2. if you have collected data on people that were home during your visits to that building, is that a census or a sample? if it is a sample, what type of sample is this? 3. if you asked people to give their age and you collected it as <5, 6-10, 11-15, 16- 20, 21-25, 26 and older, what type of variable is this? 4. if you asked people to give their age in years, what type of variable is this? 5. if you found that those apartments with older hot water heaters had worse health, what type of evidence is this? 6. if you went to the building and observed that health was getting worse over the course of your visits, what type of evidence is this? 7. if you found differences in health outcomes by age, what type of evidence is this? 8. if you found that younger people in the building had worse outcomes and offered an intervention to help improve their health, what type of evidence supported this decision?

Answer:

2 container =975,975

3 container =650650

Step-by-step explanation:

2 container =325325x3

3 container =325325x2

Answer:

132

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

Answer:

∠FDE or ∠GDA

Step-by-step explanation:

The adjacent angle refers to the angle which lies right next to an angle, and the sum of the angles is 180, meaning they are supplementary.

Here, in this diagram, there are 2 adjacent angles for ∠FDG :

A 95% confidence interval for the average number of televisions in Swiss households is [0.9, 3.2].

Here are the correct statements based on this confidence interval:95% of all intervals calculated the same way will capture the population mean.

This is correct. Since the confidence level is 95%, it means that 95 out of 100 intervals calculated the same way will capture the population mean.

The true (but unknown) population mean is located between 0.9 and 3.2 with a probability of 95%. This is incorrect. The true population mean is either in the interval or it isn't, it doesn't have a probability of being there. Of 100 intervals calculated the same way,

we expect 95 of them to capture the population mean. This is correct, as mentioned in the first statement. Of 100 intervals calculated the same way, we expect 100 of them to capture the sample mean.

This is incorrect. The sample mean is a single value, not an interval. 95% of all Swiss households have between 0.9 and 3.2 televisions.

This is incorrect. We cannot make statements about individual households, only about the population mean. Therefore, the correct statements are: 95% of all intervals calculated the same way will capture the population mean and Of 100 intervals calculated the same way, we expect 95 of them to capture the population mean.

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The likelihood of being over 67 inches tall is 0.127978, or 12.8%.

The probability of an event occurring is referred to as probability. We frequently have to make predictions about the future in real life. We may or may not be aware of the outcome of an event.At the point when this happens, we broadcast that there is plausible that the occasion will happen.

In conclusion, probability can be put to great use in business as well as in this rapidly expanding field of artificial intelligence.

By simply dividing the total number of outcomes by the favorable number of possibilities, the probability of an event can be calculated using the probability formula.

5 feet 7 inches equals (5*12 +7) inches, or (60 +7) inches, according to our question.

(67 - 69.1)/(2.65) = -1.136 is the z-score.

The probability of having a height greater than 67 inches is 0.127978, or 12.8%.

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Answer:

A

Step-by-step explanation:

The sides GH and FH are congruent, so Δ FGH is isosceles and the 2 base angles G and F are also congruent, then

∠ F = 65° → A

Answer:

\(x = \frac{82}{3}\)

Step-by-step explanation:

\((\frac{3}{4} )x = \frac{41}{2}\)

\(\frac{3x}{4} = \frac{41}{2}\)

\(\frac{3x}{4} * 4 = 4 * \frac{41}{2} \\3x = \frac{41 }{2} * 2 * 2\\3x = 41 *2 \\3x = 82 \\\)

\(\frac{3x}{3} = \frac{82}{3}\)

\(x = \frac{82}{3}\)

The number is   \(\frac{82}{3}\)  .

Fractions , represent a numerical value that expresses a part of a whole. The whole can be any number, a specific value, or a thing. Fractions are represented in the form of p/q. For example, ¼, ½, ¾, and so on.

According to the question

Let the number be x .

If 3/4 of a certain number is equal to 41/2

i.e

\(\frac{3}{4}x = \frac{41}{2}\)

x = \(\frac{41}{2} *\frac{4}{3}\)

x = \(\frac{82}{3}\)

Hence, the number is   \(\frac{82}{3}\)  .

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Answer:

Step-by-step explanation:

Given:

Isolate the term of x from one side of the equation.

Use the distributive property.

DISTRIBUTIVE PROPERTY:

\(\Longrightarrow: \sf{A(B+C)=AB+AC}\)

Each term within the parentheses can be multiplied by a factor outside the parentheses.

3(x+1)

3*x=3x

3*1=3

Rewrite the expression down.

3x+3

3x+3+2(3x+4)

Multiply expand.

2(3x+4)

2*3x=6x

2*4=8

6x+8

3x+3+6x+8

Combine like terms.

3x+6x+3+8

Add the numbers from left to right.

3+8=11

3x+6x+11

Add.

Solutions:

3x+6x=9x

\(\Longrightarrow: \boxed{\sf{9x+11}}\)

I hope this helps. Let me know if you have any questions.

Answer:

18

Step-by-step explanation:

bro u have did it urself...but thnx for the points

If the standard deviation of sales is equal to some value, we can calculate the variance by squaring the standard deviation.

to answer the question, we need to understand the relationship between standard deviation and variance. the variance is the average of the   square   d differences from the mean, while the standard deviation is the square root of the variance.

in the concert sales dataset (containing sample data), the standard deviation of sales is equal to question 22select one: a. square of the mean sales value b. square of the variance of sales c. square root of the mean of sales d. square root of the variance of sales

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Answer:

\(2.\bar{81}mm\)

Step-by-step explanation:

First the formula for find the are of a trapezoid is:

\(A = \frac{h(a+b)}{2}\)

Where \(a\) is the top, \(h\) the height and \(b\) the base measures.

Then we need to know what is the base (\(b\)), for that isolate \(b\) from the equation

\(2A = h(a+b)\\\frac{2A}{h} = a+b\\\frac{2A}{h} - a = b\)

Then in the new equation replace the given values:

\(A = 65mm^2\\a = 9mm\\h = 11mm\)

\(\frac{2 \cdot 65mm^2}{11mm} -9mm = b\\\frac{130mm^2}{11mm} -9mm = b\\11.\bar{81}mm -9mm = b\\2.\bar{81}mm = b\)

So the final answer is \(2.\bar{81}mm\)

Answer: C

Step-by-step explanation:

Since the inequalities for all 4 options are different, all you need to look at are the inequality signs.

For the line with a positive slope (bottom left to top right), the point it ends at is not filled in, so that point is not included meaning it is x > 1.

For the line with a negative slope (top left to bottom right), the point it ends at is filled in, so that point is included meaning it is x \(\leq\) 1.

C. is the only one that has these inequalities.

Answer:

1

Step-by-step explanation:

41 is prime, so its only factors are 1 and 41.

Since 1 is a factor of 78 but 41 isn't a factor of 78, the greatest common factor is 1.

The volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells is 486π cubic units.

To find the volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells, we can follow these steps:

First, let's sketch the region bounded by the curve y = x. This is a straight line passing through the origin with a slope of 1. It forms a right triangle in the first quadrant, with the x-axis and y-axis as its legs.

Next, we need to determine the limits of integration. Since we are rotating about the y-axis, the integration limits will correspond to the y-values of the region. In this case, the region is bounded by y = 0 (the x-axis) and y = x.

The height of each cylindrical shell will be the difference between the upper and lower curves. Therefore, the height of each shell is given by h = x.

The radius of each cylindrical shell is the distance from the y-axis to the x-value on the curve. Since we are rotating about the y-axis, the radius is given by r = y.

The differential volume element of each cylindrical shell is given by dV = 2πrh dy, where r is the radius and h is the height.

Now we can express the volume of the solid of revolution as the integral of the differential volume element over the range of y-values:

V = ∫[a, b] 2πrh dy

Here, [a, b] represents the range of y-values that define the region. In this case, a = 0 and b = 9 (as y = x, so the curve intersects y-axis at y = 9).

Substituting t

he values of r and h into the integral, we have:

V = ∫[0, 9] 2πy(y) dy

Simplifying, we get:

V = 2π ∫[0, 9] y^2 dy

Evaluating the integral, we have:

V = 2π [y^3/3] from 0 to 9

V = 2π [(9^3/3) - (0^3/3)]

V = 2π [(729/3) - 0]

V = 2π (243)

V = 486π

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Using it's concept, the equivalent expression for the perimeter of the figure is:

2 + 3x2 + 4x2 + 5x2 + 8

The perimeter of a figure is given by the total length of it's boundary.

Hence, for the figure given in this problem, the perimeter is:

2 + 3 + 3 + 4 + 4 + 5 + 8 + 5

2 + 3x2 + 4x2 + 5x2 + 8

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Answer:

Step-by-step explanation:

Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Step-by-step explanation:

15.5 is the answer sorry if I am wrong

Answer:

15.5

Explanation:

10.5 - 7 = 3.5

4 x 3 = 12

3.5 + 12 = 15.5

Answer:

answer is 8 hours landing

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - (-2) / -3 - 5

6 / -8

= -3/4

y = -3/4x + b

4 = -3/4(-3) + b

4 = 9/4 + b

7/4

The correct statement that describes the relationship between the number of hours spent working/playing video games is given by:

Greater hours worked, fewer hours spent playing video games.

From the dots given, when the value of x(hours worked) increases, the value of x(hours playing video games) decreases, hence the variables are inverse proportional the correct option is given by:

Greater hours worked, fewer hours spent playing video games.

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Answer:

Inconsistent

Step-by-step explanation:

A system of linear equations that has at least one solution is called consistent, whereas a system of linear equations that has no solutions is called inconsistent.

A system of linear equations that has no solution is a set of inconsistent equations.

The correct answer is an option (B)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"It is a set of equations for which we find a common solution."

"A system of equations is consistent if there is at least one set of values that satisfies each equation in the system."

"A system of equations is inconsistent if there is no solution to the given system of equations."

From the definition, we can see that the system of equations is inconsistent if a system of equations has no solution.

Therefore, A system of linear equations that has no solution is a set of inconsistent equations.

The correct answer is an option (B)

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Slope= -1/2

Hope it helps.

Do comment if you have any query.

Slope:-

Answer:

well, best i can do for you : F

Step-by-step explanation:

Calculator soup

I forgot how to do this stuff, sorry

Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

The domain is \(x\neq 0\) because that would make the denominator  0 which is undefined

First we add 0.3 to 3.7, that way we will have an integer and it would be more easy to make the operations. Then we have 4.

Then we can substract the 4 to the 9.4, getting 5.4.

Finally we add once again 0.3 (because in the difference we have an extra .3) to the 5.4, getting 5.7.

Then Tamela swims 5.7 more than Blake every day.