The cycle time for trucks hauling concrete to a high way construction site is uniformly distributed over the interval 50to 70minutes. What is the probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 55 minutes?

If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students

Total number of students in the class = 6 students

Number of students for best student = 1 student

Number of students for runner up = 1 students

Total number of students needed = 2

Here we have to use the combination

6\(C_2\) = 6! / 2!(6 - 2)!

= 6! / 2! × 4!

Split the terms and cancel it

= 6 × 5 / 2 × 1

Multiply the terms

= 30 / 2

Divide the numbers

= 15 combinations

Therefore, there are 15 combinations

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evaluating the function at x = 3 yields a result of F(3) = 0. This can be seen in the graph, as the value of the function at x = 3 is 0.

a) lim F(x) = DNE

The limit of F(x) does not exist as x approaches 1 because the function is not continuous at x = 1.

b) F(3) = 0

Evaluating the function at x = 3 yields F(3) = 0.

The limit of F(x) does not exist as x approaches 1 because the function is not continuous at that point. This can be seen in the graph of the function, which has a vertical asymptote at x = 1. Thus, the limit of F(x) as x approaches 1 is DNE. However, evaluating the function at x = 3 yields a result of F(3) = 0. This can be seen in the graph, as the value of the function at x = 3 is 0.

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There were 15 crocodiles in the watering hole.

Since the ratio of the number of hippos to the number of crocodiles at a watering hole is 4:3, to show the number of crocodiles if there were 20 hippos, the following cross multiplication calculation must be performed:

Therefore, there were 15 crocodiles in the watering hole.

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Answer:

wwwwwwwwwwwwwwwwwwww

The number of pounds that Brenda pick in all is 5.97 pounds.

What is a pound in weight?

One pound is equivalent to 0.4535 kilograms and is referred to as an imperial unit of mass or weight measurement. Pound is a metric unit of measurement of mass. Both the pound and the kilogram are weight or mass measurement units. The imperial unit of mass or weight is the pound.

What is meaning of mass?

The amount of matter in a particle or object is represented by the dimensionless quantity mass (symbolised m). The kilogramme is the International System's (SI) preferred unit of mass (kg).

Given that Brenda picks 3.21 pounds of strawberries and 2.76 pounds of blueberries.

Total number of pound of berries is (3.21 + 2.76) pounds = 5.97 pounds.

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Answer:

43%

Step-by-step explanation:

Orinally the decimal percentage is 43.1034% so we just round to 43%

Answer:

43.1`

Step-by-step explanation:

my friend helped me :)

Therefore, the Marginal Rate of Technical Substitution (MRTS) in this Cobb Douglas production function is (0.45/0.55) * (L/K), or approximately 0.818 * (L/K).

To determine the Marginal Rate of Technical Substitution (MRTS) in a Cobb Douglas production function, we need to calculate the ratio of the marginal product of labor (MP_L) to the marginal product of capital (MP_K). In this case, the MRTS can be calculated as MRTS = MP_L / MP_K, where MP_L is the partial derivative of the production function with respect to labor (L) and MP_K is the partial derivative of the production function with respect to capital (K).

Taking the partial derivatives of the Cobb Douglas production function, we have:

MP_L = 0.45 * L^(-0.55) * K^0.55

MP_K = 0.55 * L^0.45 * K^(-0.45)

Now we can calculate the MRTS:

MRTS = MP_L / MP_K

= (0.45 * L^(-0.55) * K^0.55) / (0.55 * L^0.45 * K^(-0.45))

= 0.45/0.55 * (L^(-0.55) * L^0.45) * (K^0.55 * K^(-0.45))

= (0.45/0.55) * (L/K)

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Answer:

4.6562707350808111362602485665418‬

Answer:

Here is what I think:

Addition and Multiplication are very similar. Multiplication is just repeated addition. If you do 3*2 its just adding 3, 2 times to each-other. The same goes for division. Its repeated subtraction. 15/3 If you subtract 3 from 15 how many times can you do it. There are also differences though. Multiplication is usually used to calculate different things though. It can calculate area and volume while addition usually doesn't. Division is used to find how much of something can fit into something. But subtraction usually is only used for subtracting other things. Those are similar things and different things for this.

You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

The correct relationship of the three principles is: The well-ordering principle for the integers is equivalent to strong mathematical induction, and neither is equivalent to weak mathematical induction.

The well-ordering principle for the integers states that every non-empty set of non-negative integers has a least element. Strong mathematical induction is a proof technique that involves proving that a statement is true for a base case, and then assuming that it is true for all cases up to a certain value, and then proving that it must also be true for the next case.

This requires assuming the truth of all cases up to a certain value, which is where the well-ordering principle comes in. Weak mathematical induction is a proof technique that involves proving that a statement is true for a base case, and then assuming that it is true for a particular case, and then proving that it must also be true for the next case.

Weak mathematical induction does not require assuming the truth of all cases up to a certain value, and is therefore weaker than strong mathematical induction.

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Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

__

Check

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

  -57 +100 = 43 . . . . . true

The simplified representation of the expression given as 2x² + 6x is 2x(x + 3)

From the question, the expression is given as

2xsquared +6x

Rewrite the expression properly

So, we have the following equation

2x² + 6x

Factor out x from the above expression

So, we have the following equation

2x² + 6x = x(2x + 6)

Factor out 2 from the above expression

So, we have the following equation

2x² + 6x = 2x(x + 3)

Hence, the simplified expression of 2x² + 6x is 2x(x + 3)

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Answer:

G

Step-by-step explanation:

Rise 4 go over 5

Answer:

G has the slope of 4/5

Step-by-step explanation:

Hope this helps :)

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

Out of 8 members of the committee, it is possible to create two subcommittees only.

We know that in order to create subcommittees. we need to divide the total number of people on the committee into equal parts so that they form subcommittees.

Here, it is given that there are 8 members on the committee.

A subcommittee needs to have 3 people in it.

On dividing 8 people into groups of three, we get

⇒ \(\frac{8}{3}\)

⇒ 2.66..

Here, it is obvious that the 0.66... can not be considered because it is not a whole number and hence, does not mean any number of people.

So, we can create only two different subcommittees from 8 members on the main committee.

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Answer: 3months

Step-by-step explanation:

130 160 190 220 250 280 310 340 370 400

110 150 190 230 270 310 350 390 430 470 510

After 3 months they will both be at 190

Answer:

3 months until both costs are the same

Step-by-step explanation:

30x+100 = 40x+70

-30             -30

        100  = 10x+70

       -70              -70

        30 = 10x

     30/10   10x/10    

      30/10 = 3

Answer:

Step-by-step explanation:

If sh starts reading at 3:25 and reads for 15 minutes, she is finished at 3:40. The hour hand is on the 3 and the minute hand is on the 8, so there is a difference of 25 minutes between the hour hand and the minute hand. Each 5-minute increment is 30 degrees (360 / 12) so 30 x 5 = 150 degrees. This is an obtuse angle. Not sure what kind of an answer you're looking for so I gave both the degree measure of the angle formed by the hour hand and the minute hand, and the classification of the angle.

Answer:

90 degrees, which is a right angle

Step-by-step explanation:

The time indicates when she starts reading is irrelevant. The only thing to notice is that she reeds for 15 minutes. Whenever you read for 15 minutes the angle that is formed by the hour and minute hands of the clock will always be the same, regardless of the starting time!

60 minutes comes down to 360 degrees.

1 minute = 60/60 and that comes down to 360/60 = 6 degrees.

15 minutes = 15 times 1 minute....

15 minutes comes down to 15* 6 = 90 degrees

90 degrees is a right angle

The probability that he grabbed exactly 3 bronze caps and exactly 1 silver caps is 0.1247.

In this problem, we need to find the probability of Olav randomly grabbing 6 caps and getting exactly 3 bronze caps and exactly 1 silver cap.

To solve this problem, we can use the concept of combinations. The number of ways to choose 3 bronze caps out of 6 is given by the combination \(^6C_{3}\), and the number of ways to choose 1 silver cap out of 5 is given by the combination \(^5C_{1}\).

The number of ways to choose the remaining 2 caps (which must be gold) out of 5 is given by the combination \(^5C_{2}\).

Therefore, the total number of ways that Olav can grab 6 caps with exactly 3 bronze and 1 silver is given by:

\(^6C_{3}\)* \(^5C_{1}\) * \(^5C_{2}\) = 20 * 5 * 10 = 1000

The total number of ways to choose 6 caps out of 16 is given by

\(^{16}C_{6}\\\), which is:

\(^{16}C_{6}\\\)= 8008

Therefore, the probability that Olav grabbed exactly 3 bronze caps and exactly 1 silver cap is:

P = 1000 / 8008 = 0.1247 (rounded to 4 decimal places)

Hence, the probability that Olav grabbed exactly 3 bronze caps and exactly 1 silver cap is 0.1247.

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Answer:

answer mine i will answer yours

Step-by-step explanation:

Answer:

Yes, k=0.5

Step-by-step explanation:

I .    am .    in      9th .     Grade       Beachessssssssss

The least amount of interest, if Pedro has a balance of $5810 on a credit card with an APR of 16.2%, is $78.345 for one month, so option A is correct.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

Pedro has a balance of $5810 on a credit card with an APR of 16.2%,

Calculate the simple interest for one month as shown below,

\(SI = P \times r \times t / 100\)

SI = 5810 × 16. 2 × 1 / (12 ×100)   [time in year = 1 / 12]

SI = $78.345

SI =  5810 × 16. 2 × 2 / (12 ×100)   [For 2 months]

SI = $156.87

Therefore, the least amount of interest, if Pedro has a balance of $5810 on a credit card with an APR of 16.2%, is $78.345 for one month.

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Using Sphere geometry formulas , 2.45 ft/min is increasing rate of spherical ballon when the diameter is 1.5 feet.

Sphere is a three dimensional form of circle .

let V and D be volume and diameter of the sphere. we have given that ,

Volume increasing rate of spherical ballon (dV/dt)

= 3.7 ft³/min

diameter of sphere at time of increasing = 1.5 feet

the increasing rate of spherical ballon is dD/dt.

Now, Volume of sphere (V) = 4/3π³ ft³

or we know that D = r/2 so,

V = 4/3 π (D)³×8 ft³

differentating both sides we get ,

dV/dt = 32/8π 3D³dD/dt

=> 3.7 = 32/3 (3.14)(1.5)²dD/dt

=> dD/dt= 2.45 feet/min

Hence, 2.45 ft/min is the rate of the diameter of the balloon increasing when the diameter is 1.5 feet.

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Answer:

The real zeros of the quadratic function f(x) = -4x^2 - 6x + 1 are approximately -0.15 and -1.35.

Step-by-step explanation:

To find the real zeros of the quadratic function f(x) = -4x^2 - 6x + 1, we need to find the values of x that make f(x) equal to zero. We can do this by using the quadratic formula:

x = [-b ± sqrt(b^2 - 4ac)] / 2a

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c.

In this case, a = -4, b = -6, and c = 1. Substituting these values into the quadratic formula, we get:

x = [-(-6) ± sqrt((-6)^2 - 4(-4)(1))] / 2(-4)

x = [6 ± sqrt(52)] / (-8)

x = [6 ± 2sqrt(13)] / (-8)

These are the two solutions for the quadratic equation, which we can simplify as follows:

x = (3 ± sqrt(13)) / (-4)

Therefore, the real zeros of the quadratic function f(x) = -4x^2 - 6x + 1 are approximately -0.15 and -1.35.

Answer:

1164

Step-by-step explanation:

The person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

As per the given figure, the length of the hypotenuse is the distance the person would walk, and the lengths of the other two sides are 264 feet and 900 feet.

Using the formula for the Pythagorean theorem, we can set up the following equation:

c² = a² + b²

where c is the length of the hypotenuse, a is the length of one of the other sides, and b is the length of the remaining side.

In this case, we can substitute the known values for a, b, and c to get:

c² = 264² + 900²

c² = 69696 + 810000

c² = 879696

c = √879696

c = 937.92110

Rounded to the nearest whole foot.

c = 938 feet

Thus, the person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.

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Answer: 5 5/12 miles

Step-by-step explanation:

The following are the distance covered by Jada for the week.

Monday = 1 1/3 miles

Tuesday = 5/6 miles

Wednesday = 0

Thursday = 2 3/4 miles

Friday = 1 1/2 miles

Total distance for the week will be:

= 1 1/3 + 5/6 + 2 3/4 + 1 1/2

The lowest common multiple of 3,6,4 and 2 is 12. The fractions will then be

1 4/12 + 10/12 + 2 9/12 + 6/12

= 3 29/12

= 3 + 2 5/12

= 5 5/12

Jada ran 5 5/12 miles this week

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Answer:

3/-4 i think

Step-by-step explanation:

one point is -2/1 and the other 2/-2

1 - -2=3

-2 -2=-4