The test statistic of z = 0.67 is obtained when testing the claim that p>0.4. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value.

Rounded to the nearest whole number, the total number of people in the food court is 59.

The probability that a person is eating a hamburger is 0.38, which means that there are 0.38 * 35 = 13.3 people eating hamburgers.

The probability that a person is eating a burrito is 0.31, which means that there are 0.31 * 35 = 10.85 people eating burritos.

The total number of people eating hamburgers and burritos is 13.3 + 10.85 = 24.15.

The total number of people in the food court is the number of people eating hamburgers and burritos plus the number of people eating pizza, which is 24.15 + 35 = 59.15.

Hence, rounded to the nearest whole number, the total number of people in the food court is 59.

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The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Rodney owes $1,541.05 on his credit card.

His card has an APR of 16.29%, compounded monthly.

Assuming that he makes no payments and no purchases.

He owes after one year will be

Amount = 1541.05 × 1.1629

Amount = 1792.087 ≅ 1792.09

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Answer:

B.

Step-by-step explanation:

$1811.70

The correct term for a sample obtained in such a way that every element in the population has an equal chance of being selected is a "random sample."

In a random sample, each member of the population has an equal probability of being chosen, providing a representative subset of the population. This sampling method helps to reduce bias and ensures that the sample is more likely to accurately reflect the characteristics of the entire population.

Random sampling is a fundamental principle in statistics and research, allowing for generalizations and inferences to be made about the population based on the characteristics observed in the sample. It is widely used in various fields, such as social sciences, market research, and opinion polls, to draw meaningful conclusions about a larger population.

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Answer:

1. 4ft=48inches

2. 5km=5,000m

3. 6 quarts=1,5 gallons

4. 2,000 grams=2km

Step-by-step explanation:

1. To convert feet to inches, multiply the number (4) by 12.

2. 1 Kilometer (km) is equal to 1000 meters (m). To convert kilometers to meters, multiply the kilometer value by 1000.

3. divide the volume value by 4

4. To convert grams to kilograms, you divide the number of grams you have by 1000

4 feet = 48 inches

5 kilometers = 5,000 meters

6 quarts = 1.5 US gallons

2,000 grams = 2 kilograms

The game will cost Arnold for $8.99.

How does subtraction work?

Mathematical operation is subtraction. It is employed to eliminate terms or expression's objects.

Given, a video game costs $14.99 at Arnold's.

40% of the sales price

= 40 x 14.99 / 100

= 5.996,

which equals 6, round.

The game is marked up by Arnold's at 40% of the asking price. that is 6,

40% of the selling price equals the selling cost minus Arnold's game costs.

Cost of the game to Arnold: 6 = 14.99

the game's price to Arnold plus 6 equals $14.99

making use of the subtraction operation,

The game cost Arnold $8.99.

Arnold will pay $8.99 for the game as a result.
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Answer:

48 children went to the big picnic

Step-by-step explanation:

hope that helps>3

Answer:

48 children

Step-by-step explanation:

Answer:

complete this

Step-by-step explanation:

yeah do it

$\Pi$ is NP-hard, and since it is also in NP, it is NP-complete.

If $\Pi$ belongs to P and there is a polynomial-time reduction of $\Pi'$ to $\Pi$, then $\Pi'$ also belongs to P.

This is because if we have a polynomial-time reduction from problem $\Pi'$ to problem $\Pi$ and $\Pi$ can be solved in polynomial time,

then $\Pi'$ can also be solved in polynomial time because the reduction takes at most polynomial time.NP is the class of decision problems that can be solved by a non-deterministic Turing machine in polynomial time.

If $\Pi$ belongs to NP, $\Pi'$ is NP-complete, and there exists a polynomial-time reduction of $\Pi'$ to $\Pi$, then $\Pi$ is also NP-complete.

This is because if $\Pi'$ is NP-complete and there exists a polynomial-time reduction from $\Pi'$ to $\Pi$, then any problem in NP can be reduced to $\Pi'$ in polynomial time, and hence to $\Pi$ in polynomial time.

Therefore, $\Pi$ is NP-hard, and since it is also in NP, it is NP-complete.

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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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The length of the curve x = 1/3 √y (y − 3)  is 64/3.

The distance between two point along a segment of a curve is known as the arc length.

The equation of the curve is given by:

x = 1/3 √y (y − 3), 16 ≤ y ≤ 25

Length of the curve y = f(x) between point  x =a to x = b is given by:  

\(\int\limits^b_a {\sqrt{1+[f'(x)]^2} } \, dx\)

 √1 + [f′(x)]2 dx.

x = 1/3 √y (y − 3)

x = 1/3 * \(y^\frac{3}{2}\) - \(y^\frac{1}{2}\)

Let's find the first derivative of x.

dx/dy = 1/3. 3/2.  \(y^\frac{1}{2}\)- 1/2 .  \(y^\frac{1}{2}\)

dx/ dy = 1/2 ( \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))

(dx/dy)^2= 1/4 (  \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))^2

= 1/4(y + \(y^-^1\)-2)

1 + {f′(x)}2 = 1 + 1/4(y +\(y^-^1\)-2)

= 1/4 y + 1/4\(y^-^1\)+ 1/2

1 + {f′(x)}2= 1/4 (y + \(y^-^1\) + 2)

√[1 + {f′(x)}2] = 1/2 (  \(y^\frac{1}{2}\) +  \(y^\frac{-1}{2}\))

Length of curve  is given by:  

25

∫   \(\frac{\sqrt{y} }{2} +\frac{1}{2\sqrt{y} }\) dy

16

= \(\left \{ {{y=25} \atop {x=16}} \right.\) [\(y^\frac{3}{2}\)/3 + √y]

= [(25)3/2 /3 + √25] - [(16)3/2 /3 + √16]

= [125/3 + 5] - [64/3 + 4]

= 140/3 - 76/3

= (140 - 76)/3

= 64/3

So the length of the curve is 64/3

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The correct answer is histogram showing data from a sample

Normal distribution: Normal distribution is also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graphical form, the normal distribution appears as a "bell curve".

it is asked about the normal distribution is an example of

the correct option is c

i.e., Answer is histogram showing data from a sample

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67.3% of the data values are less than 75.

Data is a set of values or facts that is used as a basis for reasoning, discussion, or calculation. Data can be numerical, such as measurements, or it can be non-numerical, such as words or images

The box-and-whisker plot is a visual representation of a data set that displays the median, minimum, maximum, first quartile, and third quartile of the data set. The plot below displays the data set with the first quartile being 40 and the third quartile being 92. This means that the range of the data set is 40-92. The value of 75 falls within this range, so 25% of the data values are less than 75. This can be calculated by taking 75-40, which is 35, and dividing it by the range of the data set (92-40 = 52). This gives us 0.673, which when multiplied by 100 gives us a percentage of 67.3%. Therefore, 67.3% of the data values are less than 75.

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Answer:

x/y=2/9

y = 9/2 x

Step-by-step explanation:

The constant of proportionality in the equation is 9/2

Answer: C)9/2

Answer:

uh

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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The probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

To solve this problem, we'll use the M/M/1 queueing model with Poisson arrivals and exponential service times. Let's calculate the required values: (a) Percentage of time Judy is idle: The utilization of the system (ρ) is the ratio of the average service time to the average interarrival time. In this case, the average service time is 10 minutes, and the average interarrival time is 12 minutes. Utilization (ρ) = Average service time / Average interarrival time = 10 / 12 = 5/6 ≈ 0.8333

The percentage of time Judy is idle is given by (1 - ρ) multiplied by 100: Idle percentage = (1 - 0.8333) * 100 ≈ 16.67%. Therefore, Judy is idle approximately 16.67% of the time. (b) Average waiting time for a student:

The average waiting time in a queue (Wq) can be calculated using Little's Law: Wq = Lq / λ, where Lq is the average number of customers in the queue and λ is the arrival rate. In this case, λ (arrival rate) = 1 customer per 12 minutes, and Lq can be calculated using the queuing formula: Lq = ρ^2 / (1 - ρ). Plugging in the values: Lq = (5/6)^2 / (1 - 5/6) = 25/6 ≈ 4.17 customers Wq = Lq / λ = 4.17 / (1/12) = 50 minutes. Therefore, on average, a student spends approximately 50 minutes waiting in line.

(c) Average length of the line: The average number of customers in the system (L) can be calculated using Little's Law: L = λ * W, where W is the average time a customer spends in the system. In this case, λ (arrival rate) = 1 customer per 12 minutes, and W can be calculated as W = Wq + 1/μ, where μ is the service rate (1/10 customers per minute). Plugging in the values: W = 50 + 1/ (1/10) = 50 + 10 = 60 minutes. L = λ * W = (1/12) * 60 = 5 customers. Therefore, on average, the line consists of approximately 5 customers.

(d) Probability of finding at least one student waiting in line: The probability that an arriving student finds at least one other student waiting in line is equal to the probability that the system is not empty. The probability that the system is not empty (P0) can be calculated using the formula: P0 = 1 - ρ, where ρ is the utilization. Plugging in the values:

P0 = 1 - 0.8333 ≈ 0.1667. Therefore, the probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

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Answer:

c

Step-by-step explanation:

its one full square and 1/4

A. The description of the graph is thick line and upper region shaded

B. The point (2, 3) is included in the solution area

C. A different point in the solution set is (1, 4)

From the question, we have the following parameters that can be used in our computation:

4x + 2y ≤ 16

x + y ≥ 4

The description of the graph is that

Yes, this is because the point (2, 3) satisfy both inequalities

The proof is as follows:

4(2) + 2(3) ≤ 16

14 ≤ 16 ---- true

2 + 3 ≥ 4

5 ≥ 4 ---- true

So, we have

Truth value = true

A different point in the solution set is (1, 4)

This point means that

Michael can afford to buy 1 cupcake and 4 fudges

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We have: f(x)=5x²-7x+10. In order to calculate f(-5) we got to substitute -5 in the function, so:

f(-5)=5*(-5)²-7*(-5)+10

f(-5)= 125+35+10

f(-5)= 170

Step-by-step explanation:

Four tosses of the coin result in 2^4 = 16 possible outcomes of which FOUR

will have ONE tails :

HHHT

HHTH
HTHH
THHH      so 4 out of 16  = 4/16 = 1/4    Not very unusual

Answer:

I am not sure, I might have did my math wrong. But..

Step-by-step explanation:

5(2)+8-12(2) = -6(2)-3

10+8-12=-12-3

6=-15

6(2)+4-12(2)=-10(2)+18(2)-3

12+4-24=-20+36-3

-8=13

48-6+2=-2(2)+2-10

44=-4+2-10

44=-12

-3(2)-8+2=-4(2)+2-10

-6-8+2=-8+2-10

-14+2=-6-10

-12=-16

Answer:

Step-by-step explanation:

A, B and C

The total volume is,

= 350 + 100

= 450 in³

And, The total surface area is,

= 150 + 70 + 140 + 50

= 410 in²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

For Top prism:

To find the volume of the top prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V = 1/2 × l × w × h

   = 1/2 × 5 × 10 × 4

   = 100 in.

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is,

A = 1/2  bh = 1/2 × 7 × 4 = 14 .

Since there are 2 bases, the area is 28.

Now, Area of the rectangular side is,

A = bh

   = 10 x 5  = 50 in².

Since there are two,

Hence, the area is,

A = 2 × 50 = 100

And, The surface area of the prism is ,

50 + 100 = 150 in²

Bottom prism:

To find the volume of the bottom prism, multiply the width times the height times the length.

V = lwh

   = 10 x 5 x 7

   = 350 in³

And, To find the surface area of the bottom prism, find the area of the base and each side of the house.

A = 10 x 5 = 50 in

A = 10 × 7 = 70 which occurs twice so it has a total area of 140.

A = 5 x 7 = 35 which occurs twice so it has an area of 70

Hence, The total volume is,

350 + 100

450 in³

And, The total surface area is,

= 150 + 70 + 140 + 50

= 410 in²

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Answer:

B

Step-by-step explanation:

Here, we are to select the best option that defines the ratio given in the question;

From the question, we are told that the ratio of french fries to the number of side dishes ordered is 9:14

Since 9 represents the french fries, then the ratio representing water melon orders will be 14-9 = 5

Hence, the ratio of french fries orders to water melon orders will be 9:5

The correct option is thus;

There are 9 orders of french fries for every 5 orders of watermelon

Or

There are 5 orders of watermelon for every 9 orders of french fries