g In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies.The value of the z statistic for testing equality of the proportion of smokers in 1995 and 2010 is:

Answer:

3.5

Step-by-step explanation:

3/5 in a decimal is 3.5

(A). Yes, overdetermined systems can be consistent.

As, the system of equations below is consistent because it has a solution

x1 = 2 , x2 = 4 , x1 + x2 = 6.

We have,

'Over-determined system is a system of linear equations, in which there are more equations than unknowns'.

If we have m equations and n variables where m>n (more equations than variables), then system can be consistent if last m−n equations are linear combinations of previous ones.

For e.g. Let us consider the system,

x + y = 1

x - y = 1

3x + y = 3

solving these equations, we can see

The only intersection point is (1,0). Thus, x= 1 and y= 0 is the solution of this system.

Thus, over-determined system can be consistent.

According to the options,

Hence, option A is correct.

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.

The ratio refers to the relative size of one quantity compared to another.

The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction.  We can also express the ratio in its standard form (:).

Given   Sum of     Equivalent

Ratio     Ratios          Ratios

5/36        36         13.89% or 0.1389

2:9           11          18.18% or 0.1818

3 to 18     21          14.28% or 0.14.28

1:3            4           25% or 0.25

Thus, we can conclude that 1:3 is the largest ratio amont the others.

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Answer:

\(d = 0\)

Step-by-step explanation:

Given

\((6d+1)^2+12=13\)

Required

Solve for d

\((6d+1)^2+12=13\)

Collect Like Terms

\((6d+1)^2=13 - 12\)

\((6d+1)^2=1\)

Using square roots property

\(\sqrt{(6d+1)^2}=\sqrt 1\)

\(6d+1 = 1\)

Collect Like Terms

\(6d = 1 - 1\)

\(6d = 0\)

\(d = 0/6\)

\(d = 0\)

Answer: y =1/2x + 5/2  

Step-by-step explanation: you have to use the slope formula y = mx + b to find the equation between those two points

The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The highest height for the daily rainfall were for 5 and 6 inches

Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.

From the given dot plot, we see the number of times for each height of rainfall.

Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.

Thus, we conclude those were the highest heights for the daily rainfall.

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Answer:

\(\frac{1 }{200^4} \\\)

Step-by-step explanation:

\((\frac{5^{-2} }{2^{3} } )^{4}\\\\(\frac{1 }{2^{3} *5^{2}} )^{4} \\\\(\frac{1 }{8 *25} )^{4} \\\\\frac{1 }{200^4} \\\)

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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Answer:

6.2 approx i believe

Step-by-step explanation:

Answer:

not sure

Step-by-step explanation:

Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.

Quantitative variables are measured with numbers. Some examples include:

Weight measured in kilos

The distance measured in meters or kilometers

Time measured in seconds or hours

On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:

Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.

Moreover, variables can be classified as:

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Answer:

-1 6/10

is greater than

- 5/3

Step-by-step explanation:

Answer:

give me more instructions so i can actually help

Step-by-step explanation:

Answer: the answer for ur question is 28 lol :)

The area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.

To find the area of the circle circumscribed about a right triangle, we can use the fact that the diameter of the circle is equal to the hypotenuse of the right triangle. In this case, the legs of the right triangle are given as 6 and 8.

Using the Pythagorean theorem, we can find the length of the hypotenuse:

\(c^2 = a^2 + b^2\)

where c is the length of the hypotenuse, and a and b are the lengths of the legs.

Substituting the values:

\(c^2 = 6^2 + 8^2\)

\(c^2 = 36 + 64\\ c^2 = 100\)

Taking the square root of both sides:

\(c = \sqrt{100} \\ c = 10\)

Therefore, the length of the hypotenuse is 10 units.

Since the diameter of the circumscribed circle is equal to the hypotenuse, the radius of the circle is half the length of the hypotenuse, which is 10/2 = 5 units.

Now we can calculate the area of the circle using the formula:

Area = π \(r^2\)

where r is the radius of the circle.

Area = π \(5^2\)

Area = π × 25

Area = 78.54 square units

Hence, the area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.

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The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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The value of x which is the hypotenuse of the triangle is 107.48

\(\dfrac{\text{Opposite}}{\text{Hypotenuse}}\)

\(\text{Hyp = x}\)

\(\text{opp} = 76\sqrt{2}\)

\(\text{adj} = \text{x}\)

\(\text{x}^2 = (76\sqrt{2})\)

\(\text{x}^2 = 11552\)

\(\text{x}^2 = \sqrt{11552}\)

\(\text{x} = 107.48\)

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Answer:

1

Step-by-step explanation:

2(3/4)-1/2=

The 2 cancels out the 4 making it 3/2.

3/2-1/2=2/2

=1

The correct option is (b) i.e. the total perimeter of the fence is 7x + y − 4 feet.

What is Perimeter?

Perimeter is the total length of the boundary or outer edge of a two-dimensional shape, such as a polygon, circle, or ellipse. It is the sum of the lengths of all the sides or arcs that make up the shape. For example, the perimeter of a square is the sum of the lengths of all its sides, while the perimeter of a circle is the circumference, which is the distance around the circle. The perimeter is often measured in units such as centimeters, meters, or feet, depending on the context of the problem.

Given : sides of the fence

            s₁ = 4x + 5

            s₂ =  y − 7

            s₃ = 3x − 2

We know that, perimeter of a triangle is sum of all three sides.

So, Perimeter of the fence =  s₁+ s₂+ s₃

                                            = 4x + 5 + y − 7 + 3x − 2

                                            = 7x + y - 4 ft.

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The equation for the polynomial in this problem is given as follows:

\(y = \frac{1}{16}(x^4 - 17x^2 + 16)\)

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

The roots for this problem are given as follows:

Hence the polynomial is:

y = a(x + 4)(x + 1)(x - 1)(x - 4)

y = a(x² - 16)(x² - 1)

\(y = a(x^4 - 17x^2 + 16)\)

When x = 0, y = 1, hence the leading coefficient a is given as follows:

a = 1/16.

Thus the equation is:

\(y = \frac{1}{16}(x^4 - 17x^2 + 16)\)

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Answer:

\(x=50\º\)

Step-by-step explanation:

We know ∠R+∠S+∠T = 180º

Then,

\((x+50\º)+(x+10\º)+(x-30\º) = 180\º\)

\(3x+30\º = 180\º\)

\(3x = 150\º\)

\(x=50\º\)

Answer:

heres what i did on the 2.1.4 practice problem on apex

Step-by-step explanation:

1. Circle the two boats you picked for your trip.

the yacht and the tall ship (aka the pirate ship)

2. Make sense of the problem.

what do you know?

The tall ship makes the trip in 10 hours. The yacht makes the trip in 2.5 hours. The tall ship is 30 knots slower than the yacht.

what do you want to find out?

How fast is each boat traveling in knots (nautical miles per hour)?

what kind of answer do you expect?

probably just some numbers like 10 miles per hour or 40 miles per hour

Writing some expressions

3. Write an expression for the distance going to the island. Let x be the speed of the boat you are taking to the island. Distance is equal to speed times time. (2 points)

the expression would be D = 10(x-30), d is the distance. it could also be simplified to 10x - 300

4. Write an expression for the speed of the boat coming back from the island in terms of the other boat's speed. Let x be the speed of the boat you are taking to the island. (2 points)

so the yacht's speed would be S = x knots, s is for speed.

5. Write an expression for the distance returning from the island. Use the expression for speed you found in question 4. Remember that distance is equal to speed times time. (2 points)

the distance returning from the island would be D = 2.5x.

6. Each ship travels the same distance. Set the distances equal to each other to get the equation for the speed of the ship you are taking to the island. (1 point)

10x - 300 = 2.5x

7. Solve the equation from question 6 for x. What does this tell you? (5 points: 1 point for showing your work, 3 points for solving for x, 1 point for explaining the answer)

  10x - 300 = 2.5x  

10x - 300 + 300 = 2.5x + 300

  10x -2.5x = 300

   7.5x = 300

        x = 40

x is the speed of the yacht. (40 nautical miles per hour)

8. How fast does the second boat travel? Show your work. (2 points: 1 point for showing your work, 1 point for the answer)

the yacht travels at 40 nautical miles per hour and the tall ship travels at 100 (10x - 300) nautical miles per hour.

9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle.

Find the speed for the kayak. Use one of these facts to help.

The steamboat's speed is 4 less than 8 times the speed of the kayak.

The tall ship's speed is 1 more than 3 times the speed of the kayak.

The yacht's speed is 5 less than 15 times the speed of the kayak.

Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution)

the equation for the speed of the kayak is 40 = 15x - 5, which in this case, x is the speed of the kayak

 40 = 15x - 5

  40 + 5 = 15x -5 + 5

 45 = 15x

   x = 3

therefore, the speed of the kayak is 3 nautical miles per hour.

10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef.

It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then?

If so, how long will you have to spend at the reef?

If not, how late will you be for the return trip?

Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)

the distance to the island is 100 nautical miles, so the expression would be 100 = 20x -40, with x being the distance to the reef.

we can solve for x by doing:

100 = 20x -40

100 + 40 = 20x - 40 + 40

140 = 20x

140 / 20 = x

    x = 7

so the distance from my starting point to the reef will be 7 nautical miles, and the distance from the island to the reef would be 93 nautical miles.in that case, I would be like a day and a half late, but if you are trying to say that the ship is waiting for me at the starting point of my "adventure", then I would not be late if I kayak from my starting point to the reef, in fact, I could stay at the reef for like 50 min, because:

7 / 3 = 2 1/3 hours.

2 1/3 x 2 = 4 2/3 hours or 280 min. (to the reef and back)

7:30 p.m. - 2:00 p.m. = 5 1/2 hours or 330 min. (how much time I have till the ship leaves)

330 - 280 = 50 min. (how many min I can spend at the reef)

By using Venn Diagram,

A: A1 U A2 U A3

B: A1 n A2 n A3

C: A1 n A2' n A3'

D: (A1 n A2' n A3') U (A1' n A2 n A3') U (A1' n A2' n A3')

E: A1 U (A2 n A3).

Given,

A set is a group of items with specific qualities. A series of events Ai can be used to describe how a contract is fulfilled.

The set that contains all of the items that belong to A1, A2, and A3 is referred to as the union of a set, or simply U.

The set that contains or is shared by each of the occurrences A1, A2, or A3 is the set we refer to as the intersection of sets, n.

All elements in the universal set that are not also found in A1, A2, or A3 are referred to as complement of a set (').

Consequently, to answer the question using Venn Diagram;

A: A1 U A2 U A3

B: A1 n A2 n A3

C: A1 n A2' n A3'

D: (A1 n A2' n A3') U (A1' n A2 n A3') U (A1' n A2' n A3')

E: A1 U (A2 n A3).

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Answer:

  1,524,211

Step-by-step explanation:

You want the population in 16 years if it is now 600,000 and grows at 6% per year.

The exponential growth function is ...

  population = (initial population)·(1 + growth rate)^t

  population = 600,000(1.06^16) ≈ 1,524,211

The population of the city in 16 years will be approximately 1,524,211.

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Answer:

9

Step-by-step explanation:

1/3 times9=3