It was reported that in a survey of 4707 American youngsters aged 6 to 19, 18% were seriously overweight (a body mass index of at least 30; this index is a measure of weight relative to height). Calculate a confidence interval using a 99% confidence level for the proportion of all American youngsters who are seriously overweight. (Round your answers to three decimal places.)

9514 1404 393

Answer:

Step-by-step explanation:

In each case, you divide by the coefficient of x. Here, dividing by -1/7 is the same as multiplying by -7.

The first two answers are correctly chosen.

___

Then the ratio of the solutions is 63.7/1.3 = 49, easily calculated from the numbers given.

The second solution is 49 times the first.

Answer:

4x-8u+10

Step-by-step explanation:

You take the -2 inside the brackets to remove the brackets. (parenthesis=brackets)

-2×-2x=4x

-2×+4u=-8u

-2×-5=10

4x-8u+10

In what form?!?!?!?!?!?!?

Your question has been heard loud and clear.

Answer is option D.

The point (-2,3)  is the solution to the equation of option D.

5(-2)-2(3) = -10+-6 = -16

2(-2)-5(3) = -4+-15 = -19

Here , in the equation , x = -2 and y = 3  ,when we substitute these values in the equation(D) , we get the correct answer.

Answer:

the answer to the first question is c. the second one is

2

\frac{x}{2}

2x​

x/2

Step-by-step explanation:

Answer:

20% of 2 is equal to 0.4

log 2 (x / 4) is equal to 22.

Answer:

A=19,926in.

or

A=1660.5ft

Step-by-step explanation:

you convert the feet into inches which gives you a base of 162 inches and a height of 123 inches. Next you multiply your base and height and it gives you an Area of 19,926inches but then if you need to convert the inches back into feet by dividing 19,926 by 12. After you do that you should end up with an area of 1660.5 feet.

The two ants could be 32 metres apart. This is because the diagonal length of the room is the square root of the sum of the squares of the length, width and height, which is 18.7 m.

The two ants could be 32 metres apart. This is because the room is cuboid-shaped and has a length of 16 m, a width of 11 m and a height of 4 m. The diagonal length of the room is the square root of the sum of the squares of the length, width and height, which is 18.7 m. This means that the two ants could be 18.7 m apart in each of the two directions, giving a total distance of 37.4 m. Since the room is cuboid-shaped, however, the furthest the two ants could be is 32 m. This is because the longest distance between any two points in a cuboid is the diagonal length of the cuboid, which in this case is 18.7 m. In other words, the two ants could not be more than 18.7 m apart in any one direction, giving a total distance of 37.4 m. However, since the room is cuboid-shaped, the furthest the two ants could be is 32 m.

Length of the room (l) = 16 m

Width of the room (w) = 11 m

Height of the room (h) = 4 m

Diagonal length of the room (d) = √\((l^2 + w^2 + h^2)\) = √(16^2 + 11^2 + 4^2)\((16^2 + 11^2 + 4^2)\) = √453 = 18.7 m

The two ants could be 18.7 m apart in each of the two directions, giving a total distance of 37.4 m.

However, since the room is cuboid-shaped, the longest distance between any two points in the room is its diagonal length, which is 18.7 m.

Therefore, the furthest the two ants could be is 18.7 m, which occurs when they are positioned at opposite corners of the room.

The maximum distance between the two ants is the diagonal length of a face of the cuboid, which is √\((l^2 + w^2)\) = √\((16^2 + 11^2)\) = √377 = 19.4 m

Therefore, the maximum distance between the two ants is 2 * 19.4 = 38.8 m, which is greater than the diagonal length of the room, but it is not physically possible since it would require the ants to be positioned outside the boundaries of the room.

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Answer:

x = - 7, x = - 1

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = + 7 and 7 + 1 = + 8 , then

x² + 8x + 7 = 0

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

18

Step-by-step explanation:

60% of 30 is 18

Answer: For 2: 40/9 hours.  

Step-by-step explanation:

Tim can paint 1/10 of his barn in an hour.

JoAnn can paint 1/8 of the barn in an hour.

Now lets say if they work together they can paint 1/x of the barn in a hour.

Now we make an equation:

1/10 + 1/8 = 1/x

=>x/10 + x/8 = 1

=>x=40/9

If they work together, they can paint the barn in 40/9 hours.

Approximate ratios: 1.348, 1.342, and 1.345 represent the areas.

When a rectangle is reduced by a scale factor, the lengths of its sides are multiplied by that scale factor. Since the area of a rectangle is calculated by multiplying its length by its width, the area of the reduced rectangle will be the original area multiplied by the square of the scale factor.

In this case, the scale factor is given as 1.161234. To find the ratio of the area of the smaller rectangle to the area of the larger rectangle, we need to calculate the square of the scale factor.

So, the ratio of the area of the smaller rectangle to the area of the larger rectangle is approximately 1.348.

Similarly, you can repeat the process to calculate the ratios for the other given options and select the three ratios that match the calculated values.

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Answer:

504 inches

Step-by-step explanation:

Multiply 14 by 36 and get your answer

Answer:

c. The mode

Step-by-step explanation:

The mode is the one that tells what is the most (model) preferred in a group. The most popular is the mode because there are more answers in the survey that prefer a certain model.

Answer:

C

Step-by-step explanation:

It has the most votes

Answer:

To find out by how much the price was reduced, we can use the following equation:

price reduction = original price * reduction percentage

We know that the price reduction is £264 and the reduction percentage is 17.5%, so we can plug those values into the equation to get:

price reduction = £264 / 17.5%

To solve this equation, we need to express the percentage as a decimal. We can do this by dividing the percentage by 100:

price reduction = £264 / (17.5 / 100)

This simplifies to:

price reduction = £264 / 0.175

Solving this equation gives us a price reduction of £1512.

So, the original price was reduced by £1512.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

The equation for the interest:

So $17500 invested at 6.5% and $12500 at 4.2%

Answer:

yes

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

Let's check each answer:

A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead

B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)

C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.

D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.

Therefore, the correct answer is B.

Answer:

Its B :)

Step-by-step explanation:

I j took the unit quiz lol

The tax rate on the house can be calculated by dividing the property taxes by the house's value and multiplying by 100. In this case, the tax rate is approximately 0.6%.

To determine the tax rate, we need to divide the property taxes by the house's value and express it as a percentage.

Given:

Property taxes = $1590

House value = $265,000

Step 1: Calculate the tax rate:

Tax rate = (Property taxes / House value) * 100

Substituting the given values, we have:

Tax rate = ($1590 / $265,000) * 100

Calculating further:

Tax rate ≈ 0.6%

Therefore, the tax rate on the house is approximately 0.6%. This means that the property taxes amount to approximately 0.6% of the house's value.

In summary, the tax rate on the house valued at $265,000 is approximately 0.6%.

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We want to obtain the domain and range of the graphed function.

The function graphed is defined on the interval from x = -6 to +2 .

Therefore, the domain of the function is;

The y-values of the function is on the interval from y = -2 to +2

Therefore, the range of the function is;

Steps to solve:

4x + 1/3y^2 when x = 2 and y = 3

~Substitute

4(2) + 1/3(3)^2

~Simplify

8 + 1/3(9)

~Simplify

8 + 3

~Add

11

Best of Luck!

Answer:

The completed truth table is attached

Step-by-step explanation:

To answer your specific question, the last column is a conjunction (AND) of the third column and fifth columns

Third column is A V B

Fifth Column is ~(A ∧ B) which is the negation of A ∧ B namely the value in the 4th column

I will explain for the first row

A ⇒ T, B ⇒  T

A ∨ B ⇒ T ∨ T ⇒ T

A ∧ B ⇒ T ∧ T ⇒ T

~(A ∧ B) ⇒ ~ T ⇒ F

(A V B) ∧ ~(A ∧ B) ⇒ T ∧ F ⇒ F

You can work out the other three rows using similar logic

If you need further clarifications, do ask

The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.

To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.

The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.

Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.

Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

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The coordinates of point B are  ((3x1 + 2x2)/5, (3y1 + 2y2)/5).

What are coordinates ?

Coordinates are values that specify the position of a point in space or on a plane. In two-dimensional space, coordinates are typically represented as ordered pairs of numbers (x, y), where x represents the horizontal position and y represents the vertical position of the point relative to a fixed reference point or origin. In three-dimensional space, coordinates are represented as ordered triplets of numbers (x, y, z), where x, y, and z represent the position of the point along the x, y, and z axes, respectively.

Now,

Let's suppose that point B divides the line segment AC into two parts: AB and BC, such that AB is twice as long as BC. We can set up an equation using the coordinates of A, B, and C:

AB/BC = 2/3

We can also use the midpoint formula to find the coordinates of point B, since we know that B lies on the line segment AC. The midpoint formula states that the coordinates of the midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) are:

M = ((x1 + x2)/2, (y1 + y2)/2)

Using this formula, we can find the coordinates of point B as follows:

Let A have coordinates (x1, y1) and C have coordinates (x2, y2). Then coordinates of midpoint of AC:

((x1 + x2)/2, (y1 + y2)/2)

Since B divides AC into a 2:3 ratio, the coordinates of B will be 2/5 of the way from A to C. Therefore, we can use the following formulas to find the coordinates of B:

x-coordinate of B = (3x1 + 2x2)/5

y-coordinate of B = (3y1 + 2y2)/5

Putting it all together, the coordinates of point B are:

((3x1 + 2x2)/5, (3y1 + 2y2)/5).

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The coordinates of the newly created quadrilateral image a'b'c'd' would be

A: (2, - 3)

B: (3, - 1)

C: (- 4, - 2)

D: (2, 3)

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

The Latin words quadra, which means four, and latus, which means sides, are combined to form the English term quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides. As a result, depending on the sides and angles, we might have several sorts of quadrilaterals.

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Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

1.

a.) The color of Aqueous solution turns light green from blue, due to formation of iron sulphate .

b.) The color of the Aqueous solution turns colorless from blue due to formation of zinc sulphate.

2. Bells used in temples aren't made up of wood because wood isn't sonorous and hence can't produce ringing sound, and hence metals are used in making bells.

3. phosphorous is kept in water because it is highly reactive and reacts vigorously with air if left free in atmosphere .

4.

a.) CuSO4 + Mg =》MgSO4 + Cu

this is a single displacement reaction, where Magnesium being more reactive than Copper, displaces copper from its compound (copper sulphate) to form magnesium sulphate.

b. H2SO4 + Zn =》ZnSO4 + H2

this is a single displacement reaction,

where Zinc being more reactive than

hydrogen, displaces hydrogen from its

compound (sulphuric acid) to form Zinc sulphate.

a.) The color of Aqueous solution turns

The color of Aqueous solution turnslight green from blue, due to formation

The color of Aqueous solution turnslight green from blue, due to formationof iron sulphate.

b.) The color of the Aqueous solution

The color of the Aqueous solutionturns colorless from blue due to

The color of the Aqueous solutionturns colorless from blue due toformation of zinc sulphate.

Bells used in temples aren't made upof wood because wood isn't sonorousand hence can't produce ringing sound,and hence metals are used in makingbells.

phosphorous is kept in water becauseit is highly reactive and reacts vigorouslywith air if left free in atmosphere

a.) CuSO4+ Mg MgS04 +Cu

this is a single displacement reaction,where Magnesium being more reactivethan Copper, displaces copper from itscompound (copper sulphate) to formmagnesium sulphate.

b. H2S04 +Zn =) ZnS04+H2

b. H2S04 +Zn =) ZnS04+H2this is a single displacement reaction,where Zinc being more reactive thanhydrogen, displaces hydrogen from itscompound (sulphuric acid) to form Zincsulphate.

Step-by-step explanation:

I hope it helps

have a great day

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Answer:

The first one

Step-by-step explanation:

since you're subtracting 12, it will be -8

the -8/4 = -2

Answer:

It is the first answer choice b<4 or b>-2

Step-by-step explanation:

Solve the first inequality like so

6b<24

divide by 6 on both sides

b<4

Now for the second inequality solve like so

4b+12>4

Subtract 12 on both sides

4b>-8

Divide on both sides by 4

b>-2

This leaves us with only one answer choice which is A -

b<4 or b>-2

If you can please make my answer the brainliest that would be much appreciated. Thanks!

Answer:

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

Step-by-step explanation:

The average rate of change (m) for the given line segment can be found with

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Given the graph, the following values can be recorded:

\((x_1,y_1)=(-1,-5)\\(x_2,y_2)=(1,-4)\)

So,

\(m=\frac{(-4)-(-5)}{(1)-(-1)}\\m=\frac{-4+5}{1+1}\\m=\frac{1}{2}\)

This answer makes sense in both sign and scale with the given image.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. The value of the correlation coefficient ranges from -1 to 1.

Among the given options, the correlation coefficient that represents the weakest correlation between two variables is:

C. 0.02

A correlation coefficient of 0.02 indicates a very weak positive or negative linear relationship between the variables, as it is close to zero. In comparison, options A (-0.10) and D (0.10) represent slightly stronger correlations, while option B (-1.00) represents a perfect negative correlation.

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Answer:

3. The x-coordinate of point P is 6. Since P(6,1).

4. Area of rectangle is 32 square units.

Step-by-step explanation:

3. The directed segment AB on the Cartesian plane shows that it has a length of 6 units. Since point P partitions the segment in a given ratio 2:1, then its coordinate would be the one that divides segment AB into 4:2. This coordinate is (6, 1). Thus, the x-coordinate of point P is 6.

4. The appropriate sketch of the rectangle in a Cartesian plane shows that;

AB = DC = 4 units

AD = BC = 8 units

Area of rectangle = length x width

                             = 8 x 4

                             = 32 square units

The area of the rectangle is 32 square units.

Answer:

8x+11=5x+2

8x-5x=2-11

3x=-9

÷by 3 both sides

x=-3

Step-by-step explanation:

Total sales = $51.95 × 12,341

Total sales = $641,114.95

Therefore, Royalty = 5% × $641,114.95

Royalty = $32055.7475

Royalty= $32055.7 (to the nearest cent)