The Downtown Parking Authority Of Tampa, Florida, Reported The Following Information For A Sample Of 220 Customers On The Number Of Hours Cars Are Parked And The Amount They Are Charged. Number Of Hours Frequency Amount Charged 1 15 $ 2 2
The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 220 customers on the number of hours cars are parked and the amount they are charged.
Number of Hours Frequency Amount Charged
1 15 $ 2
2 36 6
3 53 9
4 40 13
5 20 14
6 11 16
7 9 18
8 36 22
220 a-1. Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.)
Find the mean and the standard deviation of the number of hours parked. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.)
How long is a typical customer parked? (Do not round the intermediate calculations. Round your final answer to 3 decimal places.)
Find the mean and the standard deviation of the amount charged. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.)

Answer:

I am assuming that you are talking about problem 2. so I will answer that.

Step-by-step explanation:

-2x + 6 ≥ 3x - 34

+2x        +2x

        6 ≥ 5x - 34

      +34       + 34

       40 ≥ 5x

       ÷5    ÷5

        8 ≥ x

So, x can be anything equal to or less than 8.

Answer:

x≤8

For the graph closed circle on 8 with the shading going to to left

Step-by-step explanation:

-2x+6≥3x-34 (given)

Subtract 6 on both sides

-2x≥3x-40

Subtract 3x on both sides

-5x≥-40

Divide by -5 on both sides

x≤8

*The sign flips because you divided by a negative (-5x)

Answer:

x= y + 5

Step-by-step explanation:

This is simple linear equations!

y = x - 5  

Add 5 to both sides, and you get

y + 5 = x!

Answer:

-20

Step-by-step explanation:say hes on 0  when  he moves back 4 hes on -4 when he moves back 4 ore hes on -8 move back 4 more -12 move back 4 more -16  then move back 4 more -20

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Answer:

90 feet.

Step-by-step explanation:

2 sides are 50 feet long = 100 feet.

That leaves 280 - 100 = 180 feet.

So the length of the longer sides  are both 90 feet.

To determine the pattern that should replace the question mark in column 4, we need to analyze the given sequence of numbers in columns 1, 2, and 3. By examining the pattern, we can identify the correct choice for column 4.

Looking at the sequence of numbers in columns 1, 2, and 3, we can observe the following pattern:
Column 1: 2 1 0.000
Column 2: 3 2 0.000
Column 3: 00 00000 00000
In column 1, each number decreases by 1. In column 2, each number decreases by 1 and is followed by a string of zeros. In column 3, each number consists of a string of zeros.
Now, let's analyze the choices for column 4:
Choice 1: OOOOO
Choice 2: DO 4
Choice 3: ?
Choice 4: OOOOO OOOOO OOOOO OOOOO
Based on the pattern we observed, the correct choice for column 4 would be Choice 3: OOOOO. This choice follows the pattern of column 3, where each number consists of a string of zeros. Therefore, the question mark in column 4 should be replaced with OOOOO.

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the complete question is attached below.

A. Tthe quadratic approximation of f(x, y) = y sin(x) near the origin is given by f(x, y) ≈ xy.

B.  The cubic approximation of f(x, y) = y sin(x) near the origin is also f(x, y) ≈ xy.

To find the quadratic and cubic approximations of the function f(x, y) = y sin(x) near the origin, we can use Taylor's formula. Let's begin by finding the quadratic approximation.

A. Quadratic Approximation:

Taylor's formula for a function of two variables at the origin is given by:

f(x, y) ≈ f(0, 0) + ∂f/∂x(0, 0) * x + ∂f/∂y(0, 0) * y + (1/2) * (∂²f/∂x²(0, 0) * x² + 2 * ∂²f/∂x∂y(0, 0) * xy + ∂²f/∂y²(0, 0) * y²)

The partial derivatives at the origin:

∂f/∂x = y cos(x)     =>    ∂f/∂x(0, 0) = 0

∂f/∂y = sin(x)       =>    ∂f/∂y(0, 0) = sin(0) = 0

∂²f/∂x² = -y sin(x)  =>    ∂²f/∂x²(0, 0) = 0

∂²f/∂x∂y = cos(x)    =>    ∂²f/∂x∂y(0, 0) = cos(0) = 1

∂²f/∂y² = 0          =>    ∂²f/∂y²(0, 0) = 0

Plugging these values into the formula, we get:

f(x, y) ≈ f(0, 0) + 0 * x + 0 * y + (1/2) * (0 * x² + 2 * 1 * xy + 0 * y²)

      ≈ 0 + 0 + xy

      ≈ xy

Therefore, the quadratic approximation of f(x, y) = y sin(x) near the origin is given by f(x, y) ≈ xy.

B. Cubic Approximation:

Taylor's formula for a cubic approximation involves additional terms:

f(x, y) ≈ f(0, 0) + ∂f/∂x(0, 0) * x + ∂f/∂y(0, 0) * y + (1/2) * (∂²f/∂x²(0, 0) * x² + 2 * ∂²f/∂x∂y(0, 0) * xy + ∂²f/∂y²(0, 0) * y²) + (1/6) * (∂³f/∂x³(0, 0) * x³ + 3 * ∂³f/∂x²∂y(0, 0) * x²y + 3 * ∂³f/∂xy²(0, 0) * xy² + ∂³f/∂y³(0, 0) * y³)

Let's calculate the third-order partial derivatives at the origin:

∂³f/∂x³ = -y cos(x)    =>    ∂³f/∂x³(0, 0) = 0

∂³f/

∂x²∂y = -sin(x)   =>    ∂³f/∂x²∂y(0, 0) = -sin(0) = 0

∂³f/∂xy² = 0          =>    ∂³f/∂xy²(0, 0) = 0

∂³f/∂y³ = 0           =>    ∂³f/∂y³(0, 0) = 0

Plugging these values into the formula, we get:

f(x, y) ≈ f(0, 0) + 0 * x + 0 * y + (1/2) * (0 * x² + 2 * 1 * xy + 0 * y²) + (1/6) * (0 * x³ + 3 * 0 * x²y + 3 * 0 * xy² + 0 * y³)

      ≈ 0 + 0 + xy + 0

      ≈ xy

Therefore, the cubic approximation of f(x, y) = y sin(x) near the origin is also f(x, y) ≈ xy.

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Answer:

Kathy made a mistake between step 2 and 3

x-2=0 is correct but she solved the equation wrong.

The answer should be x=2, x=-16 because:

x-2=0

+2    +2

x=2

(The 16 is correct)

Remember ax^2 + bx + c

Everything leading up to Step 2 is correct (-2 plus 16 equals the b term and -2 times 18 equals the c term).*

*Remember that this rule only applies when the a term equivalent to 1.

When the term isn't 1, you can try factoring or using the quadratic formula.

Answer:

12 days.

Step-by-step explanation:

She would have enough food to feed her pet ferret for 12 days, at a cup a day, before she would need to buy more.

Hope this helps!, If so please mark the brainliest and peace and love!!!!

The value of a preferred stock that pays a perpetual dividend of $220 at the end of each year when the interest rate is 3 percent is $7333.3

We have to use the formula

Present Value = CF / I

We have CF = 220 dollars

We have the interest rate = 3 percent

Hence present value = 220/0.03

= $7333.3

This is the term that is used to refer to the future value that a stock would have when it is converted.

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Step-by-step explanation:

-2.5y+8y-10.5

Add the first terms

= -2.5y + 8y = 5.5y

Therefore,

5.5y - 10.5y = -5y

Answer:

-5y

Step-by-step explanation:

its just subtracting but with a y

- 2.5 + 8y - 10.5y = -5y

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

Step-by-step explanation:

It is b

The correct answer is option 1 reflection across the x-axis.

A pentagon is a polygon that consists of five sides and five angles. The total measure of the interior angles of a pentagon is 540 degrees. There are various types of pentagons, such as regular pentagons, where all sides and angles are equal, and irregular pentagons, where sides and angles have different lengths and measures. Pentagons are commonly used in geometry and can be observed in numerous natural and human-made objects, including stars, flowers, architectural and engineering designs, among others.

To determine the line of reflection that maps polygon ABCDE onto polygon A'B'C'D'E', we need to find a line that is equidistant from each corresponding pair of points on the two polygons.

We can see from the graph that the two polygons are mirror images of each other across the x-axis, so the line of reflection is the x-axis.

Therefore, the answer is reflection across the x-axis.

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The complete question is: "Use the graph to answer the question. Graph of polygon ABCDE with vertices at (-1,-4), (-1,-1), (3,-1), (3,-4), (1,-6). A second polygon A' B' C' D' E' with vertices at (-11,-4), (-11,-1), (-15,-1), (-15,-4), (-13,-6). Determine the line of reflection.

1. Reflection across the x-axis

2. Reflection across x = −6

3. Reflection across the y-axis

4. Reflection across y = −6"

Answer:

about 30 then you will still fall short of that mark

HOPE IT HELP I AM NOT WANTING TO BE INCORRECT

Step-by-step explanation:

this is idiotic sense all the 3's will fall short

7.25 because 4.95 time 5 is 24.75. 24.75 minus 32 is 7.25

Answer:

$7.25

Step-by-step explanation:

y= mx+b

y= 32

m= 4.95

x= 5

b=cost to rent shoes

The z-score is -0.933 and the interpretation is that Andy's score is -0.933 standard deviations away from the mean.

From the question, the given parameters about the distribution are

Mean value of the set of data = 100

Standard deviation value of the set of data = 15

The actual data value = 86

The z-score of the data value is calculated using the following formula

z = (Actual data - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (86 - 100)/15

Evaluate the difference

z = -14/15

Evaluate the quotient

z = -0.933

This means that the score is -0.933 standard deviations away from the mean.

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Complete question

The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points.

Andy Warhol was found to have an IQ of 86 on the Wechsler IQ test. What was his z-score and what does that mean in context?

Answer:

% change in perimeter = 43. 44 %

% change in area = 16 %

Step-by-step explanation:

initial perimeter of the rectangle = 2(2p + p)

= 6p

initial area of the rectangle = 2p × p

= 2p²

therefore,

= 2p + 0.8p = 2.8 p

= p - 0.4p

= 0.6 p

= 3.4 p

= 1.68 p²

% change in perimeter

\( = \frac{6p - 3.4p}{6p} \times 100 \\ = \frac{2.6p}{6p} \times 100 \\ = 43.33\%\)

% change in area

\( \frac{2 {p}^{2} - 1.68 {p}^{2} }{2 {p}^{2} } \times 100 \\ = \frac{0.32}{2} \times 100 \\ = 16\%\)

The greatest common divisor (GCD) of 24 and 16 is 8. (A)

The GCD of two integers is the largest positive integer that divides both numbers without leaving a remainder. One way to find the GCD of two numbers is to factor both numbers into their prime factors and then find the product of the common prime factors.

In this case, 24 can be factored as 2³ * 3 and 16 can be factored as 2⁴. The largest power of 2 that divides both 24 and 16 is 2³, so the GCD of 24 and 16 is 2³ = 8.

Another way to find the GCD is to use the Euclidean algorithm, which involves repeatedly dividing the larger number by the smaller number and taking the GCD of the smaller number and the remainder until the remainder is 0.

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Complete question:

what are the greatest common divisors of 24,16

A) 8

B) 4

C) 2

D) 1

In this scenario, the outcome of each flip of the coin can be modeled as a Bernoulli random variable Y, where Y takes the value 1 (heads) with a probability of 0.7 and the value 0 (tails) with a probability of 0.3.

A Bernoulli random variable is a discrete random variable that can take only two possible outcomes, typically labeled as success (1) and failure (0), with a fixed probability associated with success. In this case, the outcome of each flip of the coin can be represented by the Bernoulli random variable Y, where Y = 1 represents the event of getting heads and Y = 0 represents the event of getting tails.

Given that the probability of landing on heads is 0.7, we can assign the following probabilities to the outcomes:

P(Y = 1) = 0.7 (probability of getting heads)

P(Y = 0) = 0.3 (probability of getting tails)

Thus, for each individual flip of the coin, we can use the Bernoulli random variable Y to model the outcome, where Y takes the value 1 (heads) with a probability of 0.7 and the value 0 (tails) with a probability of 0.3.

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Answer: 12x² - 5x - 2

Concept:

When doing questions that need to expand algebraic expressions, using the FOIL method will ease the process:

Solve:

Given expression

(3x - 2) (4x + 1)

Expand parentheses and apply the FOIL method

First: 3x · 4x = 12x²

Outer: 3x · 1 = 3x

Inner: (-2) · 4x = -8x

Last: (-2) · 1 = -2

12x² + 3x - 8x - 2

Combine like terms

12x² + (3x - 8x) - 2

\(\boxed{12^2-5x-2}\)

Hope this helps!! :)

Please let me know if you have any questions

The percent (or proportion) of high school students get between 7 and 7.5 hours of sleep  P(0<Z<1)

Why standard deviation is calculated?

The amount of departure from the average is determined by standard deviation. The most common measurement of dispersion, the standard deviation, is based on all values. Therefore, a change in even one value has an impact on the standard deviation's value.

Since the sleep are normally distributed hence to calculate the probability we need Z score. The Z score is the standard random variable of a normal distribution.

P(7<x<7.5)

μ = 7

σ = 0.5

z = (x-μ)/σ

when x= 7

z = (x-μ)/σ

   = (7-7)/0.5

   = 0

when x = 7.5

z = (x-μ)/σ

   = (7.5-7)/0.5

   = 1

∴ the probability or proportion will be P(0<Z<1)

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The probability that the sample is less than 8.42 is 0.0029 or 0.29%.

Using the normal distribution and the central limit theorem,

The mean is μ = 8.5

The standard deviation is σ = 0.22 .

A sample of 37 is taken, hence n = 37, s = 0.22/√37 i.e. s = 0.0362

The probability that the sample average is LESS than 8.40 is the p-value of Z when X = 8.4, hence:

Z = X - μ/σ

Z = 8.4 - 8.5/0.0362

Z = 2.76

Z = -2.76 has a p-value 0.0029

0.0029 = 0.29% probability that the sample average is LESS than 8.40.

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The factoring of the expressions would yeild;

a) (3x + 1) (x + 2)

b) Can not be factored

c) 2[(4x - 5) (x - 3)]

Factoring is the process of finding the prime factorization of an integer, which is finding the prime numbers that multiply together to give the original number. There are several methods for factoring including:

It is important to choose the right method based on the type of number being factored and the problem at hand.

The factoring of the quadratic expressions would give;

a) (3x + 1) (x + 2)

b) Can not be factored

c) 2[(4x - 5) (x - 3)]

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Answer:

4200 m²

Step-by-step explanation:

The drawing below (not to scale) shows a running track. The ends are semicircles. The distance between the two inner parallel straight lines is 60 meters, and they are each 100 meters long. The track is 10 meters wide. Find the area of the track. Shaded part

Solution:

The big semicircle has a diameter = 60 m + 10 m + 10 m = 80 m

The radius of the big semicircle = 80 m / 2 = 40 m

The area of the two big semicircles at both end of the big track = 2 * (1/2 πr²) = πr² = π(40)² = 5027 m²

The big track has semicircles at both ends and a rectangle. The length of the rectangle = 100 m, the width of the rectangle = diameter of big semicircle = 80 m

Area of big rectangle = length * width = 100 m * 80 m = 8000 m²

Area of big track = 8000 m² + 5027 m² = 13027 m²

The small semicircle has a diameter = 60 m

The radius of the small semicircle = 60 m / 2 = 30 m

The area of the two small semicircles at both end of the small track = 2 * (1/2 πr²) = πr² = π(30)² = 2827 m²

The small track has semicircles at both ends and a rectangle. The length of the rectangle = 100 m, the width of the rectangle = diameter of small semicircle = 60 m

Area of small rectangle = length * width = 100 m * 60 m = 6000 m²

Area of small track = 6000 m² + 2827 m² = 8827 m²

The area of track (shaded part) = Area of big track - Area of small track = 13027 m² - 8827 m² = 4200 m²

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion, therefore:

Where:

k = Constant of proportionality

Example:

Let's assume those triangles are similar, then the proportions are given by:

for every one (1) you have, you have 3 times the first

Ok,

for example for every 1 penny you have, you have 3dollars,

you counted and you have 4 pennies, in order to find out how many dollars you have, you have to times 4 by 3 to get 12

altogether you would have 4 pennies: 12 dollars.

Answer:

the answer is c

Step-by-step explanation: