In 2010, the Centers for Disease Control and Prevention estimated 9.4% of children under the age of 18 had asthma. They reported the standard error to be 0.35%. Assuming that the sampling distribution is symmetric and bell-shaped, find and interpret a 95% confidence interval.

If a ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls, the probability of drawing a red ball from the jar is approximately 0.47 or 47%.

The probability of a red ball being drawn from the jar can be calculated as follows:

Total number of balls in the jar = 8 red + 3 white + 6 yellow = 17

Probability of drawing a red ball = (Number of red balls in the jar) / (Total number of balls in the jar) = 8/17 ≈ 0.47

This means that if we were to draw a ball from the jar randomly, there is a 47% chance that the ball we draw will be red.

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Complete question is:

A ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls. find the probability of the given event.

What is what is the probability of a Red ball being drawn?

Answer: 105 minutes

Step-by-step explanation:

Answer:

33  1/3%

Step-by-step explanation:

Because there are 3 girls and 9 total animals, you do: 3/9, which is 1/3. You divide to find the percent. 1/3=33.333333..... Because you have a repeating decimal, you do 33 and 1/3, because the repeating decimal is .33333.....

It is solved using the concept of z-table. Correct option is: (E)

The difference from the mean is expressed as a z-score in standard deviation units. It is not clear either one agree or disagree with the null hypothesis. The likelihood that a point as severe as their statistic would be seen that under null hypothesis is known as the p-value.

A z-table, sometimes referred to as the standard normal table, gives the area beneath the curve to the left of a z-score. This region indicates the likelihood that z-values will fall inside a particular area of the standard normal distribution.

Here, we have to calculate the confidence interval for determine the population interval.

Now, P₁ - P₂, this is the difference between the two population proportion.

thus, option (E) is the correct answer.

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The complete question is as follows:

Answer:

Step-by-step explanation:

1 - right triangle

2 - Acute triangle

3 - Acute triangle

4 - Obtuse triangle

5 - Acute triangle

Answer:

1. right

2. obtuse

3. acute

4. obtuse

5. acute

Step-by-step explanation:

The computer equipment was acquired at a cost of $73,700 with an estimated residual value of $34,600 and a useful life of 5 years. The depreciable cost of the equipment is $39,100. The straight-line rate is 20%, and therefore, the annual straight-line depreciation for the computer equipment is $7,820.

a. To determine the depreciable cost, we subtract the estimated residual value from the initial cost: $73,700 - $34,600 = $39,100.

b. The straight-line rate is calculated by dividing 100% by the estimated useful life of the equipment. In this case, the straight-line rate is 100% / 5 = 20% per year.

c. The annual straight-line depreciation is found by multiplying the depreciable cost by the straight-line rate. Thus, the annual depreciation is $39,100 * 20% = $7,820 per year.

By following these calculations, we can determine that the depreciable cost of the computer equipment is $39,100, the straight-line rate is 20%, and the annual straight-line depreciation amounts to $7,820.

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Answer:

Solving for x (rearranging) you get:

(x^3+x+(x^2+1)^1/2)/x^2+1=y

Step-by-step explanation:

Solve for x by simplifying both sides of the equation and solving for y by isolating y

Answer:

x =9

Step-by-step explanation:

-5x = -45

Divide both sides by -5:

x = 9

Answer:

The answer is B X=9

Step-by-step explanation:

Divide each term in

Answer: The quadratic equation -6x²=-9x+7 has the values a=-6, b=9, and c=-7.

Step-by-step explanation:

Answer:-900

Step-by-step explanation:

The surface area of a sphere with a radius of 10 feet is approximately 1,256 ft².

The surface area of a sphere refers to the total area that covers the surface of the sphere. It is the sum of all the areas of the small flat faces that make up the sphere.

To find the surface area of a sphere with a radius of 10 feet, we need to use the formula:

Surface Area = 4πr²

Where r is the radius of the sphere.

Plugging in the value of r=10 into the formula, we get:

Surface Area = 4π(10) = 400π

Since π is an irrational number, we cannot calculate its exact value. However, we can approximate it to 3.14. Therefore,

=> Surface Area = 400 * 3.14 = 1256

Rounding to the nearest whole number, we get the surface area of the sphere with a radius of 10 feet as 1,256 ft², which is option (a).

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Answer:

x<-1 so open circle going to the left

Answer:

A. 8.99a + 6.99c=158.81

a=2c + 1

Step-by-step explanation:

Let us represent

The number of Adults = a

The number of children = c

Duke's grandfather spent $158.81 taking the entire family out to eat at a buffet. Adults ate for $8.99 and children ate for $6.99.

$8.99 × a + $6.99 × c = $158.81

= 8.99a + 6.99c = 158.81

The number of adults was one more than twice the number of children.

a = 2c + 1

Hence:

The system of equations used are:

8.99a + 6.99c = 158.81

a = 2c + 1

Option A is correct

Answer:

Step-by-step explanation:

$270 in total

Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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Answer:

the answer is C because the solution to the inequality is x<= -2. because of the equal sign it is a colored in circle

Step-by-step explanation:

Hope this helps!

Answer:

C

Step-by-step explanation:

solving the inequality

- 2x + 4 ≥ 8 ( subtract 4 from both sides )

- 2x ≥ 4

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 2

Since x less than or equal to then the line will have a solid circle at x = - 2 and the arrow head will be pointing left.

This is indicated on graph C

The put option should be worth $8.11 The current stock price of khhnon 8 - solvnson ப6) is $178 Instantaneous rate of return is 6% Instantaneous standard deviation of J.

J's stock is 30%Strike price is $171 Expiration date is 60 days from now The formula for the put option using the Black-Scholes model is given by: C = S.N(d1) - Ke^(-rT).N(d2)

Here,C = price of the put option

S = price of the stock

N(d1) = cumulative probability function of d1

N(d2) = cumulative probability function of d2

K = strike price

T = time to expiration (in years)

t = time to expiration (in days)/365

r = risk-free interest rate

For the given data, S = 178

K = 171

r = 6% or 0.06

T = 60/365

= 0.1644

t = 60N(d2)

= 0.63687

Using Black-Scholes, the price of the put option can be calculated as: C = 178.N(d1) - 171.e^(-0.06 * 0.1644).N(0.63687) The value of d1 can be calculated as:d1 = [ln(S/K) + (r + σ²/2).T]/σ.

√Td1 = [ln(178/171) + (0.06 + 0.30²/2) * 0.1644]/(0.30.√0.1644)d1

= 0.21577

The cumulative probability function of d1, N(d1) = 0.58707 Therefore, C = 178 * 0.58707 - 171 * e^(-0.06 * 0.1644) * 0.63687C = 104.13546 - 96.02259C

= $8.11

Therefore, the put option should be worth $8.11.

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The number of bowling games played for $34 is 8

The  mathematical relationship between the total cost for a person to bowl at the local bowling alley and the number of games played is represented by linear equation y = 3.50x + 6.00

We are given that total money spent is $34

The number of bowling  games played is assumed to be x

Now, we have substitute the value of y in the linear equation to get number of bowling  games played

34 = 3.50x +6.00

34 - 6 = 3.50 x

28 = 3.5x

x = 28/ 3.5

x = 8

So, the number of bowling games played for $34 is 8

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Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

\( - 7x + 5x - 10 - 3 = 0 \\ - 2x = 13 \\ x = - 6.5\)

The area of asemicircle is:

Therefore, the area of the semicircle in 8*pi ft^2

The teenager whom attended a football game will be 575 people.

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The coordinates of the center is (32, 40.5).

length of the radius of the circle is 73 units.

The coordinates of the center is solved using the formula for midpoints expressed as

Midpoint x-coordinate = (x₁ + x₂) / 2

Midpoint y-coordinate = (y₁ + y₂) / 2

Plugging in the values:

x₁ = 8 and y₁ = 13

x₂ = 56 and y₂ =68

Midpoint x-coordinate

= (8 + 56) /2

= 64/2

= 32

Midpoint y-coordinate

= (13 + 68) /2

= 81/ 2

= 40.5

distance formula will be used to find the length of the radius of the circle

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plugging in the values:

= √[(56 - 8)² + (68 - 13)²]

= √(48² + 55²)

= √(2304 + 3025)

= √5329

= 73

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Answer : the answer is true

the amount of work done is 5π².

The work done W is given by the line integral:

W = ∫ F · dr

where F is the force field and dr is the differential displacement along the curve r(t).

We can write r(t) as:

r(t) = (sin t, cos t, t), for 0 ≤ t ≤ 2π

The differential displacement dr is given by:

dr = (dx, dy, dz) = (cos t, -sin t, 1) dt

Now we can evaluate F · dr as:

F · dr = (5z, 5x, 5y) · (cos t, -sin t, 1) dt

= 5z cos t - 5x sin t + 5y dt

= 5t dt

since z = t, x = sin t, and y = cos t.

Therefore, the work done is:

W = ∫ F · dr = ∫₀²π 5t dt = [5t²/2] from 0 to 2π

= 5(2π²/2) - 5(0²/2)

= 5π²

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Answer:

11

Step-by-step explanation:

The required distance left to the walk will be 11 km.

The percentage is defined as a ratio expressed as a fraction of 100.

Let the total distance of the walk would be x km

As per the given information, the required solution would be as:

⇒ 45% of x = 9

45%  is expressed as 45/100 in fractional form

⇒ (45/100)x = 9

45/100  is expressed as 0.45 in decimal form

⇒ 0.45x = 9

⇒ x = 9/0.45

⇒ x = 20

So the total distance of the walk is 20 km

Since he has already walked 9 km.

So, he has left to the distance of the walk = 20 - 9 = 11 km

Therefore, the required distance left to the walk will be 11 km.

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The silk density in g/cc if the specific gravity of the fiber is given as 1.32 is given as 1.32 g/cc.

Density is the mass of a material substance per unit volume. d = M/V, where d is density, M is mass, and V is volume, is the formula for density. Grams per cubic centimetre are a typical unit of measurement for density.

For instance, whereas Earth has a density of 5.51 grammes per cubic centimetre, water has a density of 1 grammes per cubic centimetre. Another way to state density is in kilogrammes per cubic metre (in metre-kilogram-second or SI units). For instance, air weighs 1.2 pounds per cubic metre. In textbooks and manuals, the densities of typical solids, liquids, and gases are stated.

As we know that ,

Specific gravity = Density of object / density of water

1.32 = silk density / 1 g/cc

[Density of water is 1 g/cc]

Silk density = 1.32 x 1 g/cc

Silk density = 1.32 g/cc.

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(a) The domain of f is all real numbers except x = 0.

(b) There are no vertical asymptotes for y = f(x).

(c) There are no slant asymptotes for y = f(x).

(d) The function y = f(x) is neither symmetric nor antisymmetric.

(e) f is increasing for x ∈ (-∞, 0) and decreasing for x ∈ (0, +∞).

(f) f has no local maximums or minimums.

(a) The domain of a function is the set of all possible input values for which the function is defined. In this case, the function \(f(x) = x^3/(x^2 - 12)\)is defined for all real numbers except when the denominator\((x^2 - 12)\) equals zero. Therefore, the domain of f is all real numbers except \(x = ±√12.\)

(b) Vertical asymptotes occur when the function approaches infinity or negative infinity as x approaches a certain value. In this case, there are no vertical asymptotes for y = f(x) since the function does not have any vertical asymptotes.

(c) Slant asymptotes occur when the function approaches a straight line as x approaches positive or negative infinity. Since the function does not have any polynomial terms with degrees greater than one, there are no slant asymptotes for y = f(x).

(d) Symmetry refers to the property of a function being symmetric about a specific axis. In this case, the function y = f(x) is neither symmetric nor antisymmetric about the x-axis or y-axis.

(e) To determine if the function is increasing or decreasing, we can analyze the sign of its derivative. Taking the derivative of f(x) and simplifying, we find that \(f'(x) = (3x^4 - 24x)/(x^2 - 12)^2.\) The sign of f'(x) changes at x = 0, indicating that f is increasing for x < 0 and decreasing for x > 0.

(f) Since the function does not have any local maximums or minimums, there are no critical points that correspond to such points.

Understanding the domain of a function is crucial for determining where the function is defined and behaves properly. Asymptotes provide information about the behavior of a function as x approaches certain values. Symmetry helps identify patterns in the function's graph. Analyzing the increasing and decreasing intervals of a function aids in understanding its overall behavior. Critical points play a role in identifying local maximums, minimums, or points of inflection. Calculus concepts, such as derivatives and critical point analysis, are valuable tools for studying the properties of functions.

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The equation of a parabola with a focus of (-7, 6) and a directrix of y = 2 is  (x + 7)² = 8(y - 4).

The standard equation of a parabola whose axis is parallel to the y-axis, vertex at (h, k), focus at (h, k + a) and the equation of the directrix is y - k + a = 0 is

(x - h)² = 4a(y - k)

The required parabola has focus at (-7, 6) and a directrix is of y - 2 = 0.

On comparing with the standard values, we get

h = -7; k + a = 6; and k - a = 2

On simplifying, we get k = 4 and a = 2.

So, the vertex of the parabola is at (-7, 4) and a = 2 (upside open).

Then the equation of the parabola is

(x - h)² = 4a(y - k) ⇒ (x + 7)² = 4(2)(y - 4)

⇒ (x + 7)² = 8(y - 4)

Therefore, the equation of the given parabola is (x + 7)² = 8(y - 4).

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