You take a trip to Disneyland and you want to only estimate how long, on average, a person has to wait in line for a ride on that day. You randomly sample 50 people who just got off a ride (for various rides) and ask them how many minutes they stood in line for that ride. What procedure should you use to determine the average wait in line for that day? Perform a one-sample t-test (hypothesis test) Construction a confidence interval for p Construct a confidence interval for u Perform a two-sample hypothesis test for the difference in means Perform a one-sample hypothesis test for a proportion.

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

wanna get together

Step-by-step explanation:

wed be a good couple

To solve this problem, we can use the formula for the perimeter of a rectangle, which is given by the equation P = 2l + 2w, which will come to be 18 meters.

In this case, we are given that the perimeter of the rectangle is 66 m. Since the two missing sides have the same length, let's assume that the length of each missing side is x. Therefore, we can write the equation as:

66 = 2x + 2(15)

Simplifying the equation, we get:

66 = 2x + 30

Subtracting 30 from both sides, we have:

36 = 2x

Dividing both sides by 2, we find:

x = 18

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Answer:

Jack has 8 and his brother has 17

Step-by-step explanation:

j = # jack has

b = # brother has

j + b = 25

b = 1 + 2j  (brother has one more than twice the amount jack has)

j + 1 + 2j = 25

3j = 24

j = 8

b = 25-8 or 17

an+1 ≤ √(2(n+1)) + 1/2.

Since we have shown

To show that an = floor(√(2n) + 1/2), we need to prove two things:

an ≤ √(2n) + 1/2

an + 1 > √(2(n+1)) + 1/2

We will prove these statements by induction.

Base case: n = 1

a1 = 1 = floor(√(2*1) + 1/2) = floor(1.5)

The base case holds.

Induction hypothesis:

Assume that an = floor(√(2n) + 1/2) for some positive integer n.

Inductive step:

We need to show that an+1 = floor(√(2(n+1)) + 1/2) based on the induction hypothesis.

By definition of the sequence, a1 through an represent the first 1+2+...+n = n(n+1)/2 terms. Therefore, an+1 is the (n+1)th term.

The (n+1)th term is k if and only if 1+2+...+k-1 < n+1 ≤ 1+2+...+k.

Using the formula for the sum of the first k integers, we can simplify this condition to:

k(k-1)/2 < n+1 ≤ k(k+1)/2.

Multiplying both sides by 2 and rearranging, we get:

k^2 - k < 2n+2 ≤ k^2 + k.

Adding 1/4 to both sides, we get:

k^2 - k + 1/4 < 2n+2 + 1/4 ≤ k^2 + k + 1/4.

Taking the square root, we get:

k - 1/2 < √(2n+2) + 1/2 ≤ k + 1/2.

Now, we want to show that an+1 = k = floor(√(2(n+1)) + 1/2).

First, we will show that an+1 > √(2(n+1)) - 1/2.

Assume, for the sake of contradiction, that an+1 ≤ √(2(n+1)) - 1/2. Then:

k ≤ √(2(n+1)) - 1/2

k + 1/2 ≤ √(2(n+1))

(k + 1/2)^2 ≤ 2(n+1)

k^2 + k + 1/4 ≤ 2n + 2

This contradicts the fact that k is the smallest integer satisfying k^2 - k < 2n+2.

Therefore, an+1 > √(2(n+1)) - 1/2.

Next, we will show that an+1 ≤ √(2(n+1)) + 1/2.

Assume, for the sake of contradiction, that an+1 > √(2(n+1)) + 1/2. Then:

k > √(2(n+1)) + 1/2

k - 1/2 > √(2(n+1))

(k - 1/2)^2 > 2(n+1)

k^2 - k + 1/4 > 2n + 2

This contradicts the fact that k is the smallest integer satisfying 2n+2 ≤ k(k+1)/2.

Therefore, an+1 ≤ √(2(n+1)) + 1/2.

Since we have shown

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Answer:

4

Step-by-step explanation:

4-4 =0 so therefore the answer is 4

Answer:

I think it's 2 sorry if I am wrong but

Step-by-step explanation:

2 squared equals 4 and 4 minus 4 equals zero

Answer:

See below

Step-by-step explanation:

For seg FG to be tangent to the circle with center E, the side lengths 6, 10, 12 must follow the rule of Pythagorean triplets.

So,

\( {10}^{2} + {6}^{2} = 100 + 36 = 136 \\ \\ {12}^{2} = 144 \\ \\ \because \: {10}^{2} + {6}^{2} \neq \: {12}^{2} \\ \)

From above it is obvious that given segment lengths doesn't follow the Pythagorean triplet rule. Therefore, seg FG is not tangent to the circle with center E.

Answer:

I think B  honestly because when your doing slope you want each dot to add up and still go on the line

Step-by-step explanation:

Answer:

A. -1/3 y-intercept 3

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

Find 2 coordinates

(-3,4) (3,2)

y2=2

y1=4

y2-y1

2-4=(-2)

x2=3

x1=-3

3-(-3)=(6)

-2/6= -1/3

Hope this helps!

The equation for the asymptote of the graphed function is x = 7

The asymptote is a endlessly tendency to a given value. A vertical one is a tendency to infinity.

Here we can see that there is a vertical asymoptote, notice that in one end the function tends to positive infinity and in the other it tends to negative infinity.

The equation of the line where the asymptote is, is:

x = 7

So that is the answer.

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The half of \(5\frac{1}{4}\) cups  will be \(\frac{21}{8}\) .

Given,

The given quantity is \(5\frac{1}{4}.\)

Therefore, On calculating

\(5\frac{1}{4}=\frac{21}{4}\)

So,

The half of the given quantity will be,

\(\frac{21}{4}\times \frac{1}{2}=\frac{21}{8}\)

The quantity of cups can be determine by,

\(5\frac{1}{4}=\frac{21}{8}\)

The half of \(5\frac{1}{4}\) cups  will be \(\frac{21}{8}\) .

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Answer: You are correct, it is the second option.

Step-by-step explanation:

Volume of a cylinder formula is: pi*r^2*h. The diameter is 6 and the radius is half the diameter so we get r=3. The height is 10 inches, so h=10. pi(3)^2(10) is the volume of the vase.

Volume of a sphere (marbles) formula is: 4/3*pi*r^3

The marbles have a diameter of 3 so 3/2=1.5. r=1.5.

The volume of the marbles is 8(4/3*pi*1.5^3).

Then you subtract the volume of the marbles from the volume of the vase to find the volume of the water in the vase.

pi(3)^2(10) - 8(4/3pi(1.5)^3)

Hope this helps. :)

Answer:

You are absolutely correct, second option is the correct answer.

Step-by-step explanation:

Diameter of vase = 6 inches

Therefore, radius r = 3 inches

Diameter of marbles = 3 inches

Radius of marbles = 1. 5 inches

Height of water h = 10 inches

Volume of water in the vase = Volume of vase - 8 times the volume of one marble

\( = \pi r^2h - 8\times \frac{4}{3} \pi r^3 \\\\

= \pi (3\: in) ^2(10\: in) - 8( \frac{4}{3} \pi (1.5\: in) ^3) \\\\\)

if the tangent line to y = f ( x ) at ( 6 , 2 ) passes through the point ( 0 , 1 ) , then f(6) = 2 and f'(6) = 1/6.

To find f(6), we can use the fact that the tangent line to y = f(x) at (6, 2) passes through the point (0, 1). The equation of a line can be written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

Since the line passes through (6, 2) and (0, 1), we can substitute these values into the equation to get:

2 - 1 = m(6 - 0)

1 = 6m

Solving for m, we find m = 1/6.

Since the slope of the tangent line is equal to the derivative of f(x) at x = 6, we have f'(6) = 1/6.

Now, to find f(6), we can integrate f'(x) with respect to x:

f(x) = ∫(f'(x))dx = ∫(1/6)dx = (1/6)x + C

To find the value of C, we can substitute the point (6, 2) into the equation:

2 = (1/6)(6) + C

2 = 1 + C

C = 1

Therefore, f(x) = (1/6)x + 1.

Substituting x = 6 into the equation, we get:

f(6) = (1/6)(6) + 1 = 2.

So, f(6) = 2 and f'(6) = 1/6.

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Answer:

B but am not sure tho it's probably A

Answer:

Step-by-step explanation:

(1/2)/3 = x/4

1/6=x/4

x=4/6 = 2/3

Answer:

3

Step-by-step explanation:

a cube has 6 sides, and each side is 0.5, if you add 0.5 6 times you will get 3

The sample space that is not proper when considering all undergraduates at a university is S = {age under 21, age 21 or over}. This is because age is not a defining factor for classifying undergraduates, and it is not mutually exclusive or collectively exhaustive.

It is possible for an undergraduate to fall into both categories, creating an overlap. On the other hand, S = {freshmen, sophomores} and S = {in-state, out-of-state} are proper sample spaces because they are mutually exclusive and collectively exhaustive. S = {a major within business, no business major} is also a proper sample space because it is mutually exclusive, and all undergraduates will fall into one of these categories. When defining a sample space, it is important to consider if the categories are exclusive and exhaustive, and if they apply to all members of the population being studied.

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Answer:

(2,10)

Step-by-step explanation:

so we can substitute the y = 5x into y = 6x - 2

so we would have

5x = 6x - 2

subtract 6x from both sides

-x = -2

remove the negative signs since they're on both sides

x = 2

so now we can substitute x = 2 into y = 5x

so we would get

y = 5(2)

y = 10

So the point will be (2,10)

Check:

y = 6x - 2

10 = 6(2) - 2

10 = 12 - 12

10 = 10

y = 5x

10 = 5(2)

10 = 10

Answer:

(2, 10)

Step-by-step explanation:

substitute the given value of y into the equation (y=5x)

6x-2 =5x

solve for x

"add" the -2 to the other side to leave the x by itself on one side

6x=5x+2

"subtract" the 5x to the other side to combine the x's

6x-5x=2

collect like terms

x=2

so you now have your x to solve  for y

substitute the x into the equation (y=5x)

y=5(2)

simple

y=10

and there you have it!!

hope this helps!!!

Answer:

Step-by-step explanation:

The slope of the line is m = -5

4 is your x1

-3 is your y1

Plug into the equation y - y1 = m(x - x1)

y + 3 = -5(x - 4)

y + 3 = -5x + 20

   -3             -3

y = -5x + 17

Given:

Consider the number as x.

The objective is to represent algebraic expression for, 2 is subtracted from the square of a number.

Explanation:

Since the number is given as x, the square of the number can be represented as,

Now, subtract 2 from the above expression,

Hence, the required expression is x²-2.

No one can catch the bill without moving their hand downward due to the effects of gravity and human reaction time.

When the bill is released, it will immediately start to fall due to the force of gravity acting on it. The person attempting to catch the bill would need to react quickly and move their hand downward in order to intercept its path. However, human reaction time introduces a delay between perceiving the bill's movement and initiating a response.

Even with a relatively quick reaction time of 0.25 seconds, the bill would have already fallen a significant distance in that time. This is because the acceleration due to gravity is approximately 9.8 meters per second squared. In just 0.25 seconds, the bill would have fallen approximately 1.225 meters (4 feet) assuming no air resistance.

Given that the person's hand is positioned with the center of the bill between their index finger and thumb, they would need to move their hand downward by at least the distance the bill has fallen within that reaction time. However, it would be practically impossible to move their hand downward by such a large distance in such a short amount of time, making it impossible to catch the bill without moving their hand downward.

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Answer:

Together

Step-by-step explanation:

i took the test

Supply and demand coordinate to determine prices by working together.

Supply and demand work hand in hand when determining prices of goods and service in the market.

According to the law of demand the higher the price of goods in the market the lower the demand for those goods while the law of supply states that the higher the price the higher the supply.

In the market the supply and demand plays an important roles as it enables consumer to determine the actual prices  and quantity of goods in the market.

Inconclusion supply and demand coordinate to determine prices by working together.

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The flux of the vector field F through the surface S is zero.

To compute the flux of the vector field F = 3 i + 5 j + zk through the surface S, we need to evaluate the surface integral of the dot product between F and the unit normal vector to the surface.

Let's parameterize the surface S using cylindrical coordinates. We can describe a point on the surface using the coordinates (r, θ, z), where r is the distance from the z-axis, θ is the angle around the z-axis, and z is the height of the point above the xy-plane. We can write the surface S as:

r ≤ 3, −1 ≤ z ≤ 1, 0 ≤ θ ≤ 2π

The unit normal vector to the surface at a point (r, θ, z) is given by:

n = (r cos θ)i + (r sin θ)j + zk

To compute the flux, we need to evaluate the surface integral:

∫∫S F · n dS

We can compute this integral using cylindrical coordinates. The surface element dS is given by:

dS = r dr dθ dz

Substituting F and n, we get:

F · n = (3i + 5j + zk) · (r cos θ)i + (r sin θ)j + zk)

= 3r cos θ + 5r sin θ + z

So the surface integral becomes:

∫∫S F · n dS = ∫0^{2π} ∫_{-1}^1 ∫_0^3 (3r cos θ + 5r sin θ + z) r dz dθ dr

Evaluating this integral gives us the flux of the vector field F through the surface S. We can simplify the integral as follows:

∫0^{2π} ∫_{-1}^1 ∫_0^3 (3r^2 cos θ + 5r^2 sin θ + rz) dz dθ dr

= ∫0^{2π} ∫_{-1}^1 (9r^2 cos θ + 15r^2 sin θ + 4.5) dθ dr

= ∫0^{2π} 0 dθ

= 0

Therefore, the flux of the vector field F through the surface S is zero.

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The quotient of this division problem option A: 18 r89.

To find the quotient of the division problem 13,391 ÷ 739, we divide the dividend (13,391) by the divisor (739). The quotient represents the whole number result of the division, and any remaining value is the remainder.

Performing the division, we have:

First, we determine how many times 739 can be divided into 13,391 without exceeding it. We find that 739 can be divided into 13,391 eighteen times. We write this as the first part of the quotient:

      18

-------------

739 | 13,391

      739

We have a remainder of 89, which means we couldn't divide 89 further by 739 without exceeding it. Hence, we write the remainder after the division symbol:

 ----------

       6,651

      5,913

 ----------

         738

Remember, when performing division, the quotient represents the whole number result obtained from dividing the dividend by the divisor, and the remainder represents what is left after the division.

The division process shows that the quotient is 18 (OA) with a remainder of 738. Therefore, the correct answer is OA: 18 r89.

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Draw a smooth curve that passes through the points, and label the graph with the equation, the x-axis and y-axis values, and any other necessary information.

1. Begin by writing down the equation for your exponential function. For example, let's say you have the equation y = 2^x.

2. Choose the range of values for x that you want to graph. This can be any range of values, but it's usually best to start with a range of -2 to +2.

3. For each value of x in your range, calculate the corresponding value of y. For example, when x=-2, y=2^(-2)=1/4; when x=-1, y=2^(-1)=1/2; when x=0, y=2^0=1; when x=1, y=2^1=2; when x=2, y=2^2=4.

4. Plot the points (x,y) on a graph.

5. Label the graph with the equation, the x-axis and y-axis values, and any other necessary information.

To graph an exponential function, begin by writing down the equation and choosing a range of values for x. Calculate the corresponding y-values for each x-value, then plot the points (x,y) on a graph. Draw a smooth curve that passes through the points, and label the graph with the equation, the x-axis and y-axis values, and any other necessary information.

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Answer:

distributive property

Answer:

distributive

Step-by-step explanation:

The dataset representing total points scored during recent football games is as follows: 12, 14, 15, 17, 17, 21, 24, 25, 27, 31, 33 so  the quartiles of the given dataset are Q1 = 15, Q2 = 21, and Q3 = 27.

To determine the quartiles of this dataset, we need to find the values that divide the dataset into four equal parts. The first quartile (Q1) represents the 25th percentile, the second quartile (Q2) represents the 50th percentile (also known as the median), and the third quartile (Q3) represents the 75th percentile.

To find the quartiles, we first need to arrange the dataset in ascending order: 12, 14, 15, 17, 17, 21, 24, 25, 27, 31, 33.

There are a total of 11 data points in the dataset. To find the median (Q2), we take the middle value. Since there are 11 data points, the middle value is the 6th value, which is 21. Therefore, Q2 (the median) is 21.

To find Q1, we need to locate the 25th percentile. This means that 25% of the data points in the dataset should be below Q1. Since 25% of 11 is 2.75, we round it up to 3. The third value in the dataset is 15, so Q1 is 15.

To find Q3, we locate the 75th percentile, which means that 75% of the data points should be below Q3. 75% of 11 is 8.25, which we round up to 9. The ninth value in the dataset is 27, so Q3 is 27.

Therefore, the quartiles of the given dataset are Q1 = 15, Q2 = 21, and Q3 = 27.

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The only measure of center that we can find for qualitative data is the mode. This is because qualitative data cannot be measured numerically, so we cannot calculate a mean or median.

Qualitative data is data that is descriptive in nature, meaning it is based on characteristics or qualities rather than numbers. Examples of qualitative data include eye color, hair type, and favorite color. Since these characteristics cannot be measured on a numerical scale, we cannot calculate a mean or median.

The mode, on the other hand, is the value that appears most frequently in a dataset. This is a useful measure of center for qualitative data because it gives us an idea of the most common characteristic or quality within the dataset. However, it is important to note that the mode may not always be a meaningful measure of center for qualitative data, as there may be multiple modes or no mode at all. The only measure of center that we can find for qualitative data is the mode, which represents the most common characteristic or quality within the dataset.

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The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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