Gallup conducted a poll in September 2021 of parents with children under the age of 12 about whether or not they plan to get their children vaccinated. The poll compared several demographics of the parents, including political party identification. There were 305 parents who identify as Democrat, with 253 of them saying they plan to get their children vaccinated. There were 282 parents eho identified as Republican, with 59 of them saying they plan to get their children vaccinated. Test the null hypotestis of no difference between the population proportions of Democrat and Republican parents who plan to get their children under the age of 12vaccinated. What is the research hypothesis?
a. there is no difference between the population proportions of Democrat and Republican parents who plan to get their chiildren under the age of 12 vaccinated.
b. there is a difference between the population porportions of democrat and republican parents who plan to get their children under the age of 12 vaccinated.

The possible sequence orders are shown below:

1 3 2 5 4

1 5 2 3 4

2 3 1 5 4

2 5 1 3 4

3 5 1 4 2

3 5 2 4 1

permutation of a set is described as  an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

We  denote the box positions by 1 to 5, starting from left box to right box ;

with this notation , we can conclude following statements  :

Hence, the following are now possible sequence orders :  

1 3 2 5 4

1 5 2 3 4

2 3 1 5 4

2 5 1 3 4

3 5 1 4 2

3 5 2 4 1

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Answer:

if the inequality symbol is ≤ then the answer is x ≤ 6. If the inequality symbol is < then the answer is x < 6.

Step-by-step explanation:

Hope this helped

Answer:

2nd option

x - y = 6

3x + 4y = 4

Im 95% sure thats the answer. Im truly sorry if this is incorrect.

Step-by-step explanation:

Answer:

y=-3/4x+1

y=x-6

Step-by-step explanation:

ignore this rjrjrjrjrjnrjrj

a. The subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.

b. Each persοn wοuld pay $13.84.

The additiοn is a basic arithmetic οperatiοn that cοmbines twο οr mοre quantities intο a single sum. It is οne οf the fοur basic οperatiοns in arithmetic, alοng with subtractiοn, multiplicatiοn, and divisiοn.

In additiοn, the quantities being cοmbined are called addends, and the result οf the additiοn οperatiοn is called the sum. The additiοn is represented using the plus sign (+), which is placed between the addends. Fοr example, the additiοn expressiοn "3 + 5" means that we are adding 3 and 5 tοgether tο get a sum οf 8.

Fοr example, tο add the numbers 34 and 56, we start by adding the digits in the οne's place, which gives us 4 + 6 = 10. We write dοwn the 0 and carry the 1 οver tο the tens place. Then we add the digits in the tens place, which gives us 3 + 5 + 1 = 9. The final answer is 90.

a: Subtοtal = Hamburger + Guacamοle + Cheeseburger + Fries + Sοda + Milk

Subtοtal = $7.99 + $1.00 + $8.99 + $2.49 + $1.99 + $0.99

Subtοtal = $23.45

Tip = 18%×Subtοtal

Tip = 0.18 × $23.45

Tip = $4.22 (rοunded tο the nearest cent)

Tοtal = Subtοtal + Tip

Tοtal = $23.45 + $4.22

Tοtal = $27.67 (rοunded tο the nearest cent)

Therefοre, the subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.

b: If Sue and her friend split the final cοst equally, each persοn wοuld pay half οf the tοtal cοst:

$27.67 / 2 = $13.84 (rοunded tο the nearest cent)

Therefοre, each persοn wοuld pay $13.84.

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The last two rows of the table should be completed as follows:

Input   Output

8       22.80

10      28.50

An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.

The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.

To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.

Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.

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Answer: -(-3/2 is equivalent also

Step-by-step explanation:

The reason why is because you take it out of the parentheses you will still have a negative fraction

Answer:

Option (C)

Step-by-step explanation:

Option A.

Ratio of table spoons of sugar to ounces of iced tea = \(\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}\)

From the table attached,

Ratio = \(\frac{6}{24}\)

         = 1 : 4

Option B.

Ratio of sugar to ounces of iced tea = \(\frac{3}{18}\)

                                                            = 1 : 6

Option C.

Ratio of sugar to ounces of iced tea = \(\frac{1}{3}\)

                                                            = 1 : 3

Option D.

Ratio of sugar to ounces of iced tea = \(\frac{7}{24}\)

                                                            = 7 : 24

                                                            ≈ 1 : 3.43

Since, highest ratio means biggest fraction (with least denominator).

From the given options, biggest fraction is \(\frac{1}{3}\).

Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).

Answer:

The answer is 12.75 gallons.

Step-by-step explanation:

What I did to figure this out is I multiplied 200 x 1.5 to figure how many cups there is total. Then I converted the cups to gallons and subtracted 6. I got 12.75 gallons of tomato sauce.

The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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The values to the nearest tenth are:

a. 1. 43

b. 26. 41

c. 11. 69

d. 4. 57

e. 15. 77

Given the equations;

a. 4. 186 - 2. 758

Find the difference

1. 428

1. 43

b. 72. 05 - 45. 64

Find the difference

26. 41

c. 82. 156 - 41. 31 - 29. 16

Find the difference

11. 686

11. 69

d. 17. 054 - 11. 65 - 0. 83

Find the difference

4. 574

4. 57

e. 29. 16 - 12. 48 - 0. 91

Find the difference

15. 77

Thus, the values to the nearest tenth are 1. 43, 26. 41 , 11. 69, 4. 57, 15. 77

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I'm pretty sure its c I dont really understand stand what its asking

Answer:

A

Step-by-step explanation:

Since all of the answer choices are non-terminating decimals, to find which is rational, we will have to see which is a repeating decimal. Repeating decimals have repeating sets of numbers, such as in the number:

0.33333333333333333333333333333333...

which can be written as the fraction 1/3.

All repeating decimals are rational because they can always be rewritten as a fraction.

From looking carefully at the answer choices, we can see that answer choice A is a repeating decimal, and therefore, is rational. Therefore, answer choice A is the correct answer.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

Not a function.

Step-by-step explanation:

It is not a function since it does not pass the vertical line test.

Answer:

not a function

Step-by-step explanation:

you can test it out by sliding your pencil thru the graph and making sure

the function doesn't cross thru the pencil twice

The total activity of the sample 12 days later is about 4.102 GBq, while the total activity of the sample 29.12 years later is about 4 GBq.

To determine the total activity of the sample 12 days later, we need to understand radioactive decay. Both 90Sr and 90Y are radioactive isotopes, meaning they decay over time.

The decay of a radioactive substance can be described using its half-life, which is the time it takes for half of the atoms in the substance to decay.

The half-life of 90Sr is about 28.8 years, while the half-life of 90Y is about 64 hours.

First, let's calculate the activity of the 90Sr after 12 days.

Since the half-life of 90Sr is much longer than 12 days, we can assume that its activity remains almost constant. So, the total activity of 90Sr after 12 days is still 4 GBq.

Next, let's calculate the activity of the 90Y after 12 days.

We need to convert 12 days to hours, which is 12 * 24 = 288 hours.

Using the half-life of 90Y, we can calculate that after 288 hours, only \(1/2^(288/64) = 1/2^4.5 = 1/34\) of the 90Y will remain.

So, the activity of the 90Y after 12 days is 3.48 GBq / 34 = 0.102 GBq.

Therefore, the total activity of the sample 12 days later is approximately 4 GBq + 0.102 GBq = 4.102 GBq.

To determine the total activity of the sample 29.12 years later, we can use the same logic.

The 90Sr will still have an activity of 4 GBq since its half-life is much longer.

However, the 90Y will have decayed significantly.

We need to convert 29.12 years to hours, which is 29.12 * 365.25 * 24 = 255,172.8 hours.

Using the half-life of 90Y, we can calculate that only \(1/2^(255172.8/64) = 1/2^3999.2 = 1/(10^1204)\) of the 90Y will remain.

This is an extremely small amount, so we can consider the activity of the 90Y to be negligible.

Therefore, the total activity of the sample 29.12 years later is approximately 4 GBq.

In summary, the total activity of the sample 12 days later is about 4.102 GBq, while the total activity of the sample 29.12 years later is about 4 GBq.

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The surface area of the triangular prism is 1104 square yards.

find the surface area of the triangular prism. To calculate the surface area, we need to find the areas of its five faces: two congruent triangles and three rectangles.

First, let's find the area of the triangular face:
Area = 0.5 × base × height = 0.5 × 16 yards × 15 yards = 120 square yards.

Since there are two congruent triangles, their combined area is 2 × 120 = 240 square yards.

Now let's find the area of the three rectangles. Their dimensions are:
1) 18 yards × 16 yards
2) 18 yards × 15 yards
3) 18 yards × 17 yards

Calculate their areas:
1) 288 square yards
2) 270 square yards
3) 306 square yards

Finally, add up the areas of all five faces:
240 square yards (triangles) + 288 square yards + 270 square yards + 306 square yards = 1104 square yards.

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Answer:

  D) 80%

Step-by-step explanation:

To find the fraction of women surveyed who prefer salads, we need to know something about how many were surveyed, and how many of those preferred salads.

For this purpose, we can effectively ignore the percent signs in the table, and consider that it represent 100 people surveyed.

__

Of the 100 people surveyed, 40 were women. Of the 40 women, 32 preferred salads. That is, 32/40 = 8/10 = 80% of the women surveyed preferred salads.

_____

Additional comment

When dealing with percentages, one must always keep in mind the base the percentage is referring to. For all of the numbers in the table, the base is the total number of participants in the survey.

For the percentage that is the answer to the question, the base is the number of women surveyed (or something proportional to that number).

Answer:(x,y)=(1/3 , 4/3)

Step-by-step explanation:

Answer:

A,C,B,E,G,F

Step-by-step explanation:

n mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

also

The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.

We are told that Jason has $325 and that he earns $105 per week. That means that if "w" is the number of weeks then the amount of money he has in total is what he has saved by the product of $105 by the number of weeks. That is, if A is the amount he has, then:

Now, we are asked how many weeks it takes to get to $900. This means that we set A = 900 and solve for "w".

To solve for "w" we first subtract 325 on both sides:

Now we divide both sides by 105

Solving the operations:

Therefore, it takes Jason 5.5 weeks to get to $900

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-2*y-(27)=0

STEP1:

Equation of a Straight Line

1.1 Solve 3x-2y-27 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000

y-intercept = 27/-2 = -13.50000

Calculate the X-Intercept :

When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000

x-intercept = 27/3 = 9

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.000/2.000 = 1.500

Geometric figure: Straight Line

Answer:

B Possibly?

Step-by-step explanation:

Answer:

five rational numbers between

-3 and -1

are -2, -2.5, -1.5, -2.75 and -1.25

The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Answer:

No it is not

Step-by-step explanation:

8 + 5 = 13 or 10

(Just substitute values)

Have a great day.

Answer:

no he did not

Step-by-step explanation:

well if everyone wanted 14 pieces but he has 13 friends + him if they wanted 14 pieces they would need 182 pieces of

Answer:

y = (x + 1) - 4

Step-by-step explanation:

Vertex Form: y = a(x-h)^2 + k

First, we need to find the parent function. The parent function is (0,0)

Then we need to find where the parabola moved. WE don't need to look at the curved line, we just need to focus on the vertex. We see that the vertex is (-1,-4) Which means the vertex moved one unit towards the left and went down 4 units.

Now it is time to make the actual equation. First, we start with y=

y =

Now we need to put in the  (x - h)^2. We see that the graph moved one unit towards the left, so we plug it in with h. Also, keep in mind, the graph isn't being stretched vertically, so the term is 1.

y = 1(x -- 1)^2 = 1(x + 1)^2

Now we need to find the k. The k term is how the graph changed by the y axis. Since it moved down 4 units. We can plug in -4.

y = 1(x + 1) + (-4) = 1(x + 1)^2 - 4

Our final answer is:

y = 1(x + 1) - 4

Answer: (a) The possible outcomes and their probabilities are:

Value of x Probability

0 0.6561 (0 F's and 4 S's)

1 0.2916 (1 F and 3 S's, or 2 F's and 2 S's, or 3 F's and 1 S)

2 0.0486 (2 F's and 2 S's)

3 0.0036 (1 S and 3 F's)

4 0.0001 (4 F's and 0 S's)

(b) The most likely value of x is the one with the highest probability, which is x = 0.

(c) The probability that at least two of the four selected homeowners have earthquake insurance is equal to 1 minus the probability that 0 or 1 of them have earthquake insurance:

P(at least 2 of the 4 have earthquake insurance) = 1 - P(x = 0) - P(x = 1)

= 1 - 0.6561 - 0.2916

= 0.0523

Therefore, the probability that at least two of the four selected homeowners have earthquake insurance is 0.0523.

Enjoy!!!!!

Probability distribution of x is calculated by finding probabilities of each possible outcome, the most likely value of x is 0 with a probability of 0.6561, probability of at least two homeowners having earthquake insurance is 0.0523.

(a) The probability distribution of x can be found by calculating the probabilities of each possible outcome (0, 1, 2, 3, 4 homeowners with insurance) and associating them with their respective x values.

Value of x | Probability
--- | ---
0 | (.9)(.9)(.9)(.9) = 0.6561
1 | (.1)(.9)(.9)(.9) + (.9)(.1)(.9)(.9) + (.9)(.9)(.1)(.9) + (.9)(.9)(.9)(.1) = 0.2916
2 | (.1)(.1)(.9)(.9) + (.1)(.9)(.1)(.9) + (.1)(.9)(.9)(.1) + (.9)(.1)(.1)(.9) + (.9)(.1)(.9)(.1) + (.9)(.9)(.1)(.1) = 0.0486
3 | (.1)(.1)(.1)(.9) + (.1)(.1)(.9)(.1) + (.1)(.9)(.1)(.1) + (.9)(.1)(.1)(.1) = 0.0036
4 | (.1)(.1)(.1)(.1) = 0.0001

(b) The most likely value of x is 0, as it has the highest probability (0.6561).

(c) The probability that at least two of the four selected homeowners have earthquake insurance can be found by adding the probabilities of the outcomes with 2, 3, and 4 homeowners with insurance:

P (at least 2 of the 4 have earthquake insurance) = 0.0486 + 0.0036 + 0.0001 = 0.0523

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Answer:

your chances would be 9 out 10 or in fraction form 9/10

Answerc=2=2_2+

Step-by-step explanation:

The three angles at the bottom need to equal 180:

60 + 50 + ? = 180

Subtract the two known angles from 180.

The unknown angle = 70 degrees