Determine if the conclusion that follows from the given statements below is valid. If valid which law was used?
1. if a number is a natural number then it is a whole number
2. if a number is a whole number then it is an integer
Conclusion : if a number is a natural number then it is an integer

Answer:

the probability of rolling a 6 on one die is 1/6 or 16.7 %

the same could be said about rolling a 4 on a similar die.

Answer:6.986

Step-by-step explanation:

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number. Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number. In this case your standard deviation is 6.986.

Answer: Standard deviation is 6.986.

Step-by-step explanation:

Given an data 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61 and have to calculate standard deviation

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number.

Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number.

In this case standard deviation is 6.986.

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Answer:

144? or 126 sorry

Step-by-step explanation:

a. False

b. 1. The wage rate will decline by less than $4.

2.Employers are worse off than before the mandated benefit.

3. The equilibrium quantity of labor will decline.

4. The supply curve of labor doesn't shift at all

5. Employees are worse off than before the mandated benefit.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The Equilibrium wage and employment level are at the point where demand and supply curves intersect. The new law will cause the demand and supply curve to shift down. Employers and employees are not made worse off rather they are well off as before.  

When the workers will not value the benefit as mandated in the law the supply curve will not shift down, the equilibrium quantity of labor will decline and wage rate will decline by less than $4. Employers are worse off than before because a greater total wage will be paid by employers plus benefit for few workers. This will result in greater total cost to employer.  

Hencd, the statements b, c.d. and e are true.

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ANSWER

EXPLANATION

Given;

The common factor is 3k;

Hence, factor out the common term;

The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.

To find the absolute and relative change as a percentage in the U.S. per person consumption of beef from 2000 to 2020, we can follow these steps:

Calculating the absolute change:

Absolute change = Final value - Initial value

= 57.7 pounds - 67.8 pounds

= -10.1 pounds

Step 2: Calculate the relative change:

Relative change = (Absolute change / Initial value) * 100

= (-10.1 pounds / 67.8 pounds) * 100

≈ -14.9%

The absolute change is -10.1 pounds, indicating a decrease in per person consumption of beef.

The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.

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The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Probability of winning, you guess the position of each digit is 0.00833 and Probability of winning when you know the first correct piece is 0.04167.

There are 5 pieces to form a car.

Total number of arrangement of these 5 pieces is 5! = 5×4×3×2×1 = 120 ways

Of these 120 arrangements only 1 arrangement will form a proper car

(a) Probability that each position's guess is correct is = 1/ 120

Thus, the probability of getting all the guesses correct is 0.00833 or 0.833%.

(b) It is given that we know the first correct piece.

That is we need to guess the other 4 from the 4 remaining pieces.

Total number of arrangement of these 5 pieces is 4!

= 4×3×2×1 = 24 ways

Of these 24 arrangements only 1 arrangement will form a correct arrangement with the known first piece.

Probability that each position's guess is correct = 1/24

Thus, the probability of getting all the guesses correct when we know the first correct piece is 0.04167 or 4.17%.

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Answer:

Step-by-step explanation:

Work is said to be done when a force applied to an object cause the body to move in a specified direction.

Work-done = Force * Distance

Since Force = mass * acceleration due to gravity

Work-done =  mass * acceleration due to gravity * distance

Given mass = 1.4kg, distance = 0.7m and g = 9.8m/s²

Workdone in lifting the book off the floor = 1.4*0.7*9.8

Workdone = 9.604Joules

- Similarly, work done in lifting a 21-lb weight book 6 ft off the ground is expressed using the same formula as above;

Given mass = 21-lb, g = 32ft/s² and distance = 6ft

Workdone = 21 * 32 * 6

Workdone = 4,032 lb-ft²/s²

Hence, work-done in lifting a 21-lb weight book 6 ft off the ground is  4,032 lb-ft²/s²

Answer:

8/18 and 9/18

Step-by-step explanation:

Answer/Step-by-step Explanation:

When calculating the length of a segment on a number line, the absolute value of the difference between one point on the numberline, and another point is what we're looking for.

1. Length of RS = |-5 - (-2)| = |-5 + 2| = |-3|

RS = 3

2. Length of RT = |-5 - 2| = |-7|

RS = 7

3. Length of ST = |-2 - 2| = |-4|

ST = 4

4. Length of RU = |-5 - 8| = |-13|

RU = 13

5. Given that the following coordinates:

P = 3

Q = 8

R = 14

5. PQ = |3 - 8| = |-5| = 5

6. QR = |8 - 14| = |-6| = 6

7. PR = |3 - 14| = |-11| = 11

Given that points A, B, C, and D are collinear, and AB = x, BC = 3x, CD = 4x - 13

8. If AC = 24,

BC can be calculated as follows:

AB + BC = AC

\( x + 3x = 24 \)

Solve for x

\( 4x = 24 \)

Divide both sides by 4

\( x = 6 \)

Thus,, BC = 3x = 3(6) = 18

BC = 18

9. If BC = 15, BD can be calculated as follows:

Find the value of x first

BC = 3x

15 = 3x

Divide both sides by 3

5 = x

x = 5.

BD = \( 3x + (4x - 13) \)

Plug in the value of x

BD = \( 3(5) + (4(5) - 13) = 15 + (20 - 13) \)

BD = \( 15 + 7 = 22 \)

BD = 22

10. m<PTR = 80° (taking the reading at the top from 0°)

11. m<PTQ = 45°

12. m<QTS = 128 - 45 = 83°

13. Luis read m<QTR wrongly, what he measured was the whole of <PTR.

According to the angle addition theorem, m<QTR = 80 - 45 = 35°.

Answer:

16min

Step-by-step explanation:

80%*20min=4/5*20min=16min

Answer:

16 minutes

Step-by-step explanation:

If it takes 20 minutes and it takes Andre 80% as long, then you multiply 20 by %80

Answer:

I got the answer 14/15 or 0.93333

Step-by-step explanation:

If I'm wrong plz tell, thx

Answer: A, 4 inches.

Step-by-step explanation: 36 divided by 9 is 4.

Answer:

B. 2

Step-by-step explanation:

The precision of a scientific measuring tool can be defined as how close the values between multiple measurements are to each other, when repeated under the same conditions.

This ultimately implies that, the precision of a scientific measuring tool reflects the reproducibility and repeatability of its measurements, irrespective of how accurate the measurements are.

In science, one of the most effective ways to determine the precision of a scientific measuring tool is to find the difference between the highest and lowest measurements (measured values).

Given the following number; 16.82

The last digit "2" in 16.82 represents the hundredth value and should be used to determine the level of precision of the number.

Answer:

JAR WITH MARBLES.

There's

5 Blue Marbles

3 Red Marbles

2 Yellow Marbles

Pr = No of desired outcome/No of Possible Outcomes

No of Possible Outcomes = 10.

1. Pr(yellow) = 2/10 = 1/5.

2. Pr(Red) = 3/10

3. Pr(Blue) = 5/10 = 1/2

4. Pr(Yellow and Red) = 2/10 x 3/10 = 6/100 = 3/50.

5.Pr(Blue and Red)= 5/10 x 3/10 = 15/100 = 3/20.

6.Pr( Yellow and Blue) = 2/10 x 5/10 = 10/100 = 1/10.

THE CHIPS ARE PLACED IN A JAR AND MIXED.

No of Possible Outcomes = 8.

The Numbers are 1,2,3,4,5,6,7,8.

There's

4 Even Numbers

4 Odd Numbers

1. Pr(Even) = 4/8 = 1/2

2. Pr(Odd) = 4/8 = 1/2

3. Pr(Chip with Biggest No) = 1/8.

Reason. There can only be one Number which Is the biggest amongst all. So the Probability of picking it is 1.

4.Pr(Smallest Number) = 1/8 (Same concept).

5.Pr(Prime Number)

The prime Numbers above are 2,3,5,7

Pr(Prime) = 4/8 = 1/2.

Hope this helps!.

The perimeter becomes double when each side is twice as long as the original.

According to the statement

we have given that the perimeter of a rectangle is 24 inches. and we have to find that the what effect does this enlargement have on the perimeter.

So, For this purpose, we know that the

A rectangle is a parallelogram all of whose angles are right angles especially : one with adjacent sides of unequal length.

The formula to find the perimeter of rectangle is 2(L + B)

And we the length is goes to increased by double then the perimeter will also goes to double.

Because perimeter is directly proportional to the length and breadth of rectangle.

So, The perimeter becomes double when each side is twice as long as the original.

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The value of 5/9x - 2/3y + xy when x = 3/5 and y = 1/2 is 3/10

We need to evaluate the expression

5/9x - 2/3y + xy

x = 3/5 and y = 1/2

(5/9)(3/5) - (2/3)(1/2) + (3/5)(1/2)

(15/45) - (2/6) + (3/10)

1/3 - 1/3 + 3/10

= 3/10

Therefore, the value of 5/9x - 2/3y + xy when x = 3/5 and y = 1/2 is 3/10

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Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

Answer: 12

The answer to this equation would be 12, I hope this helps.

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

Option D is the correct answer.

We have,

We need to isolate the absolute value |x + 2| on one side of the inequality.

We subtract 7 from both sides.

|x + 2| > 3

Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:

x + 2 > 3

or

- (x + 2) > 3

Solving for x in the first inequality.

x > 1

Solving for x in the second inequality.

-x - 2 > 3

Adding 2 to both sides and multiplying by -1.

x < -5

So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.

Using interval notation.

(-∞, -5) U (1, ∞)

Thus,

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

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Answer:

decrease of 38% (to nearest percent)

Step-by-step explanation:

Percent change = [ (difference between final and initial value) ÷ initial value] x 100

⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

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Answer:

Hope the picture will help you

Complete Question

Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)

calculate for each

(a) z = 2.30

(b) z = -1.7

Answer:

a

\(p-value = 0.021448\)

b

\(p-value = 0.08913\)

Step-by-step explanation:

From the question we are told that

   The population mean is \(\mu = 30 \ psi\)

   The null hypothesis \(H_o : \mu = 30\)

    The alternative hypothesis is  \(H_a : \mu \ne 30\)

Considering question a  

 Here  the test statistics is (a) z = 2.30  

 From the z table  the probability of  (Z >  2.30)  is  

      \(P(Z > 2.30 ) = 0.010724\)

Generally the p-value is mathematically represented as

      \(p-value = 2 * P(Z > 2.30 )\)

=>   \(p-value = 2 * 0.010724\)

=>   \(p-value = 0.021448\)

Considering question b

 Here  the test statistics is (a) z = -1.7

 From the z table  the probability of  (Z <  -1.7)  is  

      \(P(Z < -1.7 ) = 0.044565\)

Generally the p-value is mathematically represented as

      \(p-value = 2 * P(Z < -1.70 )\)

=>   \(p-value = 2 * 0.044565\)

=>   \(p-value = 0.08913\)

Answer:

P = 1/2

Step-by-step explanation:

If the tourist spends more than 275$, they must not arrive in Chicago by bus.

( 150 + 60 < 275, 150 + 40 < 275)

The total options the tourist can make:

3 x 2 = 6

(1st leg: 3 possible options, 2nd leg: 2 possible options)

The number of options the tourist can make after excluding bus option:

2 x 2 = 4

(1st leg: 2 remaining possible options, 2nd leg: 2 possible options)

The number of options the tourist can make after excluding the bus option and spend more than 275$:

4 - 1 = 3

(excluding the case of selecting train and cab, because 225 + 40 < 275)

=> The probability that the tourist will spend more than 275$ on these 2 legs of the trip:

P = 3/6 = 1/2

Probability helps us to know the chances of an event occurring. The probability that a tourist will spend more than $275 on these 2 legs of the trip is 0.5.

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

Given that Tourists have three choices for how to travel from New York to Chicago. They can take an aeroplane for $350, a bus for $150, or a train for $225. Also, when they arrive in Chicago, they can travel by van to their hotel for $60 or take a cab for $40. Therefore, the cost of different routes is,

As it can be seen that there are 3 cases where a tourist will spend more than $275, while the total number of cases is 6. Therefore, the probability that a tourist will spend more than $275 on these 2 legs of the trip is,

Probability = 3/6 = 1/2 =0.5z

Hence, the probability that a tourist will spend more than $275 on these 2 legs of the trip is 0.5.

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Answer:

D.

Step-by-step explanation:

The mean is 11,000

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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