the assembly time for a product is uniformly distributed between 3 to 7 minutes. what is the probability of assembling the product between 4 and 6 minutes? a. 0 b. 0.2 c. 0.25 d. 0.5

The point on the number line is between 6 and 7

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

Number = square root 38

The square root of 38 is approximately 6.16441400296898.

This number is between 6 and 7 on the number line, closer to 6.

Also, it should be noted that

It's not a rational number so it's not on the number line with integers, but it can be represented as a decimal or as an irrational number.

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The nature of the roots of the quadratic equation 3x² -4x- 2 has  two distinct real roots.

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

The given quadratic equation is 3x² -4x- 2.

Three times of x square minus four times of x minus two.

Nature of Roots depending upon Discriminant.

If the discriminant is equal to zero (b² – 4ac = 0), a, b, c are real numbers, a≠0, then the roots of the quadratic equation ax² + bx + c = 0, are real and equal.

b=-4, c=-2, a=3

b² – 4ac=16-4(3)(-2)

=16+24=40

b² – 4ac>0

The quadratic function has two distinct real roots.

Hence,  the nature of the roots of the quadratic equation 3x² -4x- 2 has  two distinct real roots.

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Answer:

Step-by-step explanation:

The proportion of x/y is 8/1. And to solve your question the value of y when x is 10 is 1.25 .

Answer:

1.6% of customers

Step-by-step explanation:

Answer:

x= 15

Step-by-step explanation:

23-8= 15

x=15

A diverse work environment challenges employees to view their world from differing perspectives. This means that employees are encouraged to embrace different viewpoints, beliefs, and experiences, fostering a culture of inclusivity and open-mindedness.

In such an environment, employees are empowered to express their opinions, engage in constructive dialogue, and contribute their unique insights to discussions and decision-making processes. This not only enhances collaboration and creativity within the team but also promotes personal and professional growth for individuals.

By appreciating diverse perspectives, employees gain a broader understanding of the world and develop empathy towards others. This, in turn, leads to increased cultural competency, improved communication skills, and a more inclusive and dynamic work environment.

Embracing diversity enables organizations to harness the power of collective knowledge and experiences, driving innovation and better problem-solving capabilities.

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Answer:

600 cm³

Step-by-step explanation:

Figure is of cuboid

length (l) = 10cm

breadth (b) = 4 cm

height (h) = 15cm

volume of cuboid = l.b.h

= 10 × 4 × 15

= 40 × 15

= 600

Therefore,volume of given figure is 600 cm³.

Answer:

-15

Step-by-step explanation:

Answer:

-15 hdbdudbdjsbakznzbzjzbzbz

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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Answer:

x = 8

Step-by-step explanation:

Simplify both sides:

9/20x + 9/10 = 5/8x + -1/2

Subtract 5/8x from both sides

-7/40x + 9/10 = -1/2

Subtract 9/10 from both sides

-7/40x = -7/5

Multiply both sides by 40/-7

x=8

Answer:

x = 8

Step-by-step explanation:

\( \frac{x + 6}{4} + \frac{x - 3}{5} = \frac{5x - 4}{8} \\ \\ \frac{5(x + 6) + 4(x - 3)}{4 \times 5} = \frac{5x - 4}{8} \\ \\ \frac{5x + 30 + 4x - 12}{20} = \frac{5x - 4}{8} \\ \\ \frac{9x + 18}{20} = \frac{5x - 4}{8} \\ \\ 8(9x + 18) = 20(5x - 4) \\ 72x + 144 = 100x - 80 \\ 144 + 80 = 100x - 72x \\ 224 = 28x \\ \\ x = \frac{224}{28} \\ \\ \huge \red{ \boxed{x = 8}}\)

Answer:

12 dollars each

Step-by-step explanation:

do the math

Answer:

$1.7

Step-by-step explanation:

3 x 9 = 27

45 ÷ 27 =

about $1.7

Answer:

74°

Step-by-step explanation:

Supplementary angles are two angles with a sum of 180°

Therefore,  180 - 106 = 74

Answer:

It takes him 16.5 seconds for each Rubik Cube

Step-by-step explanation:

Divide 82.5 by 5.

There should have at least 4 umbrellas to ensure that the probability of getting wet is less than 0.01 when the probability of rain is 0.6 in Guwahati.

(a) Let's calculate the probability that you get wet given the probability of rain (p). We'll assume that the location of the umbrellas (home or office) is independent of the rain.

The probability of you getting wet can be broken down into two scenarios: either you have all the umbrellas at the location where you are not currently present, or you have at least one umbrella with you.

The probability that all umbrellas are in the other location is (1-p)^4 since each umbrella has a probability of (1-p) of being at the other location.The probability of having at least one umbrella with you is 1 - (1-p)^4, which means at least one umbrella is in the same location as you.

The overall probability of you getting wet is (1-p)^4 + [1 - (1-p)^4] = pq^4 + 1 - q^4 = pq^4 + q^4 - q^4 = pq^4.

(b) To find the number of umbrellas you should have to ensure that the probability of getting wet is less than 0.01, we need to solve the inequality:

pq^4 < 0.01.

Given that p = 0.6 in Guwahati, substituting the value:

0.6q^4 < 0.01.

Simplifying the inequality:

q^4 < 0.01/0.6.q^4 < 0.0167.

Taking the fourth root of both sides:q < 0.3162.

Since q = 1 - p, this implies that 1 - p < 0.3162.Solving for p:p > 0.6838.

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a. The chi-square statistic is not significant at the α level of .01.

b. The chi-square statistic is significant at the α level of .05.

a. With a chi-square statistic of 3.86 and a critical value of 6.63 at α level of .01, we can compare the two values.

Since 3.86 < 6.63, this means that the chi-square statistic is not significant at the α level of .01.

In other words, the result is not statistically significant and we fail to reject the null hypothesis.

b. With a chi-square statistic of 67.81 and a critical value of 3.84 at α level of .05, we can again compare the two values.

Since 67.81 > 3.84, this means that the chi-square statistic is significant at the α level of .05.

In other words, the result is statistically significant and we reject the null hypothesis.

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Answer:

sorry ulit ha mahirap nag tanung

a. 2.0405 x 10^7

b. 2.0202 x 10^-2

c. 3.450 x 10^-1

d. 1.1111 x 10^-5

e. 1.0101 x 10^2

f. 9.0650 x 10^-2

a. To convert 20405000 to scientific notation, we move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. This gives us 2.0405, and since we moved the decimal point 7 places to the left, we multiply by 10^7. Therefore, 20405000 can be expressed as 2.0405 x 10^7.

b. To convert 0.0202020 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 2.0202, and since we moved the decimal point 2 places to the right, we multiply by 10^-2. Therefore, 0.0202020 can be expressed as 2.0202 x 10^-2.

c. To convert 0.3450 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 3.450, and since we moved the decimal point 1 place to the right, we multiply by 10^-1. Therefore, 0.3450 can be expressed as 3.450 x 10^-1.

d. To convert 0.000011111 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 1.1111, and since we moved the decimal point 5 places to the right, we multiply by 10^-5. Therefore, 0.000011111 can be expressed as 1.1111 x 10^-5.

e. To convert 101010 to scientific notation, we move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. This gives us 1.01010, and since we moved the decimal point 2 places to the left, we multiply by 10^2. Therefore, 101010 can be expressed as 1.0101 x 10^2.

f. To convert 0.090650 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 9.0650, and since we moved the decimal point 1 place to the right, we multiply by 10^-1. Therefore, 0.090650 can be expressed as 9.0650 x 10^-2.

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Answer:

The volume of this figure = 1800 m ³

Step-by-step explanation:

The volume of prism =( base × height × length ) / 2

=> (15 × 10 × 24 ) /2

=> (3600)/2

=> 1800 m³

The value of x is when the value of the function f(x) = 7 is x= -24 and x = 16

Function:

A correspondence from one value x of the first set A to another value y of the second set B. It relates inputs to output is known as the function of the relation.

Given,

Here we have the function f(x) = 0.5|x - 4| - 3.

Now, we have to find the value of x when the value of f(x) = 7.

In order to find the value of x as have to equate the give function with the value of f(x), that is 7,

So, when we apply these on the function then we get,

=> 7 = 0.5|x - 4|-3

Now, we have to move all the numbers instead of x, then we get,

=> 7 + 3 = 0.5|x - 4|

=> 10 = 0.5 |x - 4|

=> 10/0.5 = |x - 4|

=> 20 = |x - 4|

So in this place we can get the following forms,

=> x - 4 = 20 and

=> x - 4 = - 20

Because we get two values being an absolute value function.

Now, we have to add 4 on both sides

Then we get

=> x - 4 + 4 = 20 + 4 and

=> x - 4 + 4 = - 20 + 4

So, the value of x is

=> x = 24 and x = - 16

Therefore, for the given function the values of x are 24 and - 16.

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The financial manager should select Project A.

Capital rationing refers to a situation in which a corporation decides to restrict the amount of new investment projects it will pursue so that it can maintain its current level of indebtedness. It is a state of constraint on the amount of investment that a company can make.

Capital rationing is also one of the financial management's most critical investment decisions.

Project A and Project B are two potential investment proposals.

Both projects' cash inflows are given over a three-year term. A cost of 6% is used to discount cash flows in both proposals.

Following that, the net present value of each project is determined.

Given that Project A has a favorable net present value compared to Project B, the financial manager should select Project A since it will yield a greater return on investment.

As a result, the answer is to select project A.

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1) Let's find the standard deviation for this data set:

2) So, let's apply the formula for standard deviation:

3) Let's find the mean and compute the variance:

The sum of all entries is divided by the number of data points.

Now, for the variance:

Finally, we can take the square root of that variance to get the standard deviation:

Answer:

x = 24

y = 26

Step-by-step explanation:

The triangle are similar because,

Each corresponding angles in the triangles are equal (AAA).

From the diagram,

5/10 = 12/x

Solving for x

x = (10×12)/5

x = 24

Also applying pythagoras theorem to get the hypotenuse of the larger side in the biggerr triangle.

y² = √(10²+24²)

a = √(100+576)

a = √(676)

a = 26.

Step-by-step explanation:

Since it's a right triangle, you can use Pythagoras

a^2 + b^2 = c^2

We have b and c, we just need a, so let's plug it in

\( {x}^{2} + {24}^{2} = {25}^{2} \)

\( {x}^{2} + 576 = 625\)

\( {x}^{2} = 49\)

\(x = 7\)

Answer: 7ft

Step-by-step explanation:

hypotenuse (h) = 25

perpendicular (p) = 24

base (b) = ?

We know by using Pythagoras theorem

b = √h² - p²

= √ 25² - 24²

= √ 49

= 7 ft

Answer:

x = 6

Step-by-step explanation:

-2 + x = 4

x = 4 + 2

x = 6

Thank you :-)

Answer:

First answer:

A

Second answer:

I think A

Answer:

A and B

Step-by-step explanation:

1

the volume (V) of a rectangular prism is calculated as

V = lwh ( l is length, w is width, h is the height )

  = Bh ( B is the area of the base )

2

the volume of a cone is \(\frac{1}{3}\) the volume of a cylinder with the same base area (B) and height (h)

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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The value of L(2) is for recursive definition of Lucas numbers is 3.

According to the given recursive definition of the Lucas numbers, L(2) = 3 since n=2 is the second term in the sequence and its value is defined as 3.
Based on the recursive definition of Lucas numbers L(n) given, let's determine the value of L(2):

L(n) = 1 if n = 1
L(n) = 3 if n = 2
L(n) = L(n - 1) + L(n - 2) if n > 2

Since we're looking for L(2), we can use the second condition in the definition:

L(2) = 3

So, the value of L(2) is 3.

A set of numbers called the Lucas numbers resembles the Fibonacci sequence. The series was researched in the late 19th century by the French mathematician François Édouard Anatole Lucas, who gave it its name.

This is how the Lucas sequence is described:

For n > 1, L(0) = 2 L(1) = 1 L(n) = L(n-1) + L(n-2)

The sequence's initial few numerals are thus:

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, ...

The Lucas sequence, like the Fibonacci sequence, offers a variety of intriguing mathematical characteristics and linkages to different branches of mathematics. For instance, exactly like in the Fibonacci sequence, the ratio of successive Lucas numbers converges to the golden ratio\((1 + \sqrt{5})/2\).

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Answer:

40 miles

Step-by-step explanation:

2.5 miles / .25 hours = 10 miles per hour

(10 miles per hour)(4 hours) = 40 miles