Which cost more per pound, a prime rib that cost $31.35 and weighs 5 lbs. or a small car that cost $6,492 and weighs 1,200 lbs? Write the steps you would take to answer this question

Answer:

20

Step-by-step explanation:

4/4=1

4x5=20

20 1/4ths in 5 wholes

Answer:

20 fourths

Step-by-step explanation:

1 whole has 4 fourths.

5 wholes has 5 x 4 = 20 fourths.

Hope this helps.

ANSWER:

STEP-BY-STEP EXPLANATION:

Given, a ≡ 4 (mod 17) and b ≡ 9 (mod 17). The value of c is 1. Hence, option (a) is the correct answer.

We have to find, an integer 0 ≤ c ≤ 16 such thatc ≡ 3a² - 2b² (mod 17)

To find the solution of the given expression, we have to follow these steps-

Step 1: Find the values of 3a² (mod 17) and 2b² (mod 17).

Step 2: Find the value of (3a² - 2b²) (mod 17).

Step 3: Take the modulo of (3a² - 2b²) (mod 17) with 17, then find the value of c such that 0 ≤ c ≤ 16.

Step 1: Find the values of 3a² (mod 17) and 2b² (mod 17).

We are given that a ≡ 4 (mod 17) and b ≡ 9 (mod 17)So,3a² ≡ 3(4)² ≡ 48 ≡ 14 (mod 17)2b² ≡ 2(9)² ≡ 162 ≡ 13 (mod 17)

Step 2: Find the value of (3a² - 2b²) (mod 17).(3a² - 2b²) ≡ 14 - 13 ≡ 1 (mod 17)

Step 3: Take the modulo of (3a² - 2b²) (mod 17) with 17, then find the value of c such that 0 ≤ c ≤ 16.c ≡ (3a² - 2b²) (mod 17) ≡ 1 (mod 17)

Therefore, the value of c is 1. Hence, option (a) is the correct answer.

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From the given Bayesian network, we can verify the conditional independence relationships using the Markov random field (MRF) graph as follows:

The conditional independence relationship where b is (marginally) independent of e can be verified from the MRF graph. In the MRF graph, if there is no direct edge between nodes b and e, it implies that b and e are conditionally independent. This is because in an MRF, the absence of an edge between two nodes indicates conditional independence.

The conditional independence relationship where b is independent of e given f can also be verified from the MRF graph. If, in the MRF graph, there is a path from b to e that does not go through f, it implies that b and e are independent given f. This is because in an MRF, the existence of a path that does not go through a specific node signifies conditional independence between the nodes at the endpoints of the path.

However, the conditional independence relationship where b is independent of e given (h, k, and f) cannot be directly verified from the MRF graph. The MRF graph does not provide specific information about the relationship between b and e when conditioned on multiple variables like (h, k, and f). To determine this conditional independence relationship, additional information or specific conditional probability distributions would be required.

In summary, the conditional independence relationships involving b and e, such as b being (marginally) independent of e and b being independent of e given f, can be verified from the Markov random field graph. However, the conditional independence relationship involving b being independent of e given (h, k, and f) cannot be directly verified from the MRF graph without additional information.

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Answer:

4x^3+26x^2-39x-195

Step-by-step explanation:

Answer:

-22x + 4x²- 11

Step-by-step explanation:

1(4x²-23x-16) (x+5)

4x²-23-16 + x +5

-23+ x +4x² - 16+5

-22x + 4x² - 11

the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587

The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.

To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.

We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.

We the look up the probability for a value of 1 in the z-table, which is 0.1587.

This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.

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Answer:

The probability is 1/4, for me if I need to guess all blankly.

But if I am unprepared but if I use my brain it can be 3/4

Sooo, hope it helps!!!

Answer:

0

Step-by-step explanation:

144 h = 6 days

Six days later would be midnight on May 1.

That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.

The probability of Adelaide being sunny at midnight is zero.

Answer:

a = \(\frac{b-4}{-2y}\)

Step-by-step explanation:

ay + 4 = 3ay - b  Subtract 4 from both sides

ay = 3ay -b - 4  Subtract 3ay from both sides

ay - 3ay = b - 4  Factor out the a

a (y -3y)  = b =4  Combine like terms

a(-2y) = b - 4  Divide both sides by -2y

a = \(\frac{b-4}{-2y}\)

Answer:

SK: 32

Step-by-step explanation:

Subtract SY - KY to find SK

45 - 13 = 32

Answer:

B. (1, -3)

Step-by-step explanation:

When you dilate from the origin (0, 0) by a scale factor of 1/2, multiple each coordinate point by 1/2.

(2, -6)

2 × 1/2 = 1

-6 × 1/2 = -3

(1, -3)

I hope this helps :))

Answer:

The answer is (1,-3)

Step-by-step explanation:

I took the test :)

Answer:

Step-by-step explanation:

First take the square root of the first number 144, then take the square root of your variable x^3

your final answer should be 12x^(3/2)

the given expression is,

x- 2 = 0

x = 2

2x + 1 = 0

2x = -1

x = -1/2

thus, the answer is x = 2 , -1/2

Answer:

9

Step-by-step explanation:

-3+6 is 3

3*3 is 9

The equation Monique, Clarence, Jose and Quincy linear graph is y = (-1/2)x, y = (1/2)x, y = 1.5x + 1 and y = -1.5x - 1 respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

The slope intercept form of a line is:

y = mx + b

where m is the slope and b is the y intercept

Monique graph passes through (0, 0) and (2, -1). Hence:

y - 0 = [(-1 - 0)/(2 - 0)](x - 0)

y = (-1/2)x

Clarence graph passes through (0, 0) and (2, 1). Hence:

y - 0 = [(1 - 0)/(2 - 0)](x - 0)

y = (1/2)x

Jose graph passes through (0, 1) and (-2, -2). Hence:

y - 1 = [(-2 - 1)/(-2 - 0)](x - 0)

y = 1.5x + 1

Quincy graph passes through (0, -1) and (-2, 2). Hence:

y - (-1) = [(2 - (-1))/(-2 - 0)](x - 0)

y = -1.5x - 1

The equation Monique graph is y = (-1/2)x

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If 8x ≤ g(x) ≤ 4x4 − 4x2 + 8 for all x,  x will be evaluated as lim x→1 g(x), 1 is 8.

To evaluate the limit of g(x) as x approaches 1, we must first examine the given inequality. It states that if 8x is less than or equal to g(x), and g(x) is less than or equal to 4x4 - 4x2 + 8, then this is true for all x.

Calculating the limit of g(x) as x approaches 1, we start by substituting x = 1 into the given inequality. This gives us 8(1) ≤ g(1) ≤ 4(1)4 - 4(1)2 + 8. Simplifying, this gives us 8 ≤ g(1) ≤ 8, so g(1) must be equal to 8.

Therefore, the limit of g(x) as x approaches 1 is 8.

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We know the line equation is expressed by

y = mx + b, where is m is its slope (how inclinated it is) and b is intercept with the y-axis.

Finding m

We find its inclination, its slope, m, by

Let's say

(x₁, y₁) = (-6, 5)

(x₂, y₂) = (-3, 3)

Then

Then y = -(2/3)x + b,

Finding b

Since b is intercept with the y-axis, we know it intercepts y when x = 0

Using the equation we have found y = -(2/3)x + b, and replacing one point given by the question (x₂, y₂) = (-3, 3)

y = -(2/3)x + b

3 = -(2/3)(-3) + b

3 = -2 + b

3 + 2 = b

Then, b = 5

Therefore,

The proportion of the category of interest for a population is called a proportion.

A proportion is a measure of the relative frequency or occurrence of a particular category within a population. It is calculated by dividing the number of occurrences of the category by the total number of items in the population. A proportion is expressed as a fraction, decimal or percentage.

For instance, if there are 25 people in a room and 5 of them are wearing glasses, then the proportion of people wearing glasses is 5/25 or 0.2 or 20%.

conclusion, the proportion of the category of interest for a population is called a proportion. It is calculated by dividing the number of occurrences of the category by the total number of items in the population. A proportion is a measure of the relative frequency or occurrence of a particular category within a population. It can be expressed as a fraction, decimal or percentage. In order to make informed decisions based on data, it is essential to understand and interpret proportions correctly. Proportions are used in various fields such as statistics, research, marketing, and public policy to study, analyze, and report data.

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Answer:

R = 2524 quarts/s

Step-by-step explanation:

Water flows through a pipe at a rate of 8600 cubic meters per hour.

We know that,

1 m³ = 1056.69 quarts

1 hour = 3600 s

Rate of flow of water = 8600 cubic meters per hour

\(R=8600\ \dfrac{m^3}{h}\\\\=8600\times \dfrac{1056.69\ \text{quarts}}{3600\ s}\\\\=2524.311\ \text{quarts/s}\)

or

R = 2524 quarts/s

So, the rate of flow of water is 2524 quarts/s.

Given in the scenario:

a.) Marjorie bought 24 bottles of juice.

b.) Each day she opens and drinks 2 of these bottles of juice.

The inequality that represents the greatest number of days she can continue before she has to replenish her stock is:

Marjorie has to replenish her stock when it is lesse

Answer:

Multiples of 15: 15,30,45,60,75,90... Multiples of 15 between 35 and 85 are 60,75.

Step-by-step explanation:

your answer is 35,85,45,60,75

Answer:

35 is 70,105,140,175

85 is 170,255,340,425

Answer:

4 less than twice a number.

Answer:

3

Step-by-step explanation:

It shows 4 less than 2 Xs

Answer:

x^2 +2x + 3

Step-by-step explanation:

x^3 - x -6 / x-2

Step one - FACTOR x^3:

(x-2)(x^2+2x+3) / x-2

Step two - CANCEL the common factor of x-2

x^2+2x+3

The expected standard deviation of stock A's returns, based on the information presented in the table, is approximately 23.57%.

To calculate the expected standard deviation of stock A's returns, we first need to calculate the variance. The variance is the average of the squared deviations from the expected return, weighted by the probabilities of each outcome.

Given the information provided:

Outcome Probability Stock A Return

Good 16% 65.00%

Medium 51% 17.00%

Let's calculate the expected return first:

Expected Return = (Probability of Good × Stock A Return in Good) + (Probability of Medium × Stock A Return in Medium)

= (0.16 × 65.00%) + (0.51 × 17.00%)

= 10.40% + 8.67%

= 19.07%

Next, we calculate the squared deviations from the expected return for each outcome:

Deviation from Expected Return in Good = Stock A Return in Good - Expected Return

= 65.00% - 19.07%

= 45.93%

Deviation from Expected Return in Medium = Stock A Return in Medium - Expected Return

= 17.00% - 19.07%

= -2.07%

Now, we calculate the variance:

Variance = (Probability of Good × Squared Deviation in Good) + (Probability of Medium × Squared Deviation in Medium)

= (0.16 × (45.93%^2)) + (0.51 × (-2.07%^2))

= (0.16 × 0.2110) + (0.51 × 0.0428)

= 0.0338 + 0.0218

= 0.0556

Finally, we calculate the standard deviation, which is the square root of the variance:

Standard Deviation = √Variance

= √0.0556

= 0.2357 or approximately 23.57%

Therefore, the expected standard deviation of stock A's returns, based on the information presented in the table, is approximately 23.57%.

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The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.

The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.

The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:

Standard Error = (Population Standard Deviation) / √(Sample Size)

The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.

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The vertex of the parabola y = x² - 16x + 24 will be at (8, -40). Then the correct option is D.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

y = x² - 16x + 24

Convert the equation into vertex form, then we have

y = x² - 16x + 24

y = x² - 2·8·x + 8² - 8² + 24

y = (x - 8)² - 64 + 24

y = (x - 8)² - 40

The vertex of the parabola y = x² - 16x + 24 will be at (8, -40). Then the correct option is D.

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Answer:

Step-by-step explanation:

P = {x : x is a real number between 2 and 7}

{x: 3,4,5,6}

Q = {x : x is all rational number between 2 and 7}

{4 }

We know that P contains all the rational numbers between 2 and 7.

And P ∪ Q and Q ∪ P each of them contain all the real numbers which are between 2 and 7.

{3,4,5,6}

Here Q is the proper subset of P

P ∩ Q = Q ∩ P = Q= {4}

Answer: The greatest common factor is 5.