Suppose that the time it takes to do a job is inversely proportional to the number of workers. that is, the more workers on the job the less time required to complete the job. if it takes 2 workers 8 days to finish a job, how long will it take 8 workers?

The dimension of the carpet are 54 inches and 34 inches.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given,

A rectangular Persians carpet has a perimeter of 176 inches.

Now,

The perimeter of a rectangle is;

P =2W + 2L

In this case;

⇒  176= 2W + 2L

Also, the 2nd sentence says;

⇒ L = W + 20

We can substitute this value of length in the perimeter formula as;

176 = 2W + 2(W+20)

176 = 2W+ 2W + 40

176 = 4W + 40

136 = 4W

34 = W

W = 34

Since, L = W +20

L = 34 + 20

   = 54

Thus, The dimensions are 54 inches and 34 inches.

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The dimensions of the carpet are 54 inches in length and 34 inches in width. This was determined by setting up and solving the perimeter equation for a rectangle, after which we calculated the length by adding 20 to the width.

To determine the dimensions of a rectangular Persian carpet with a perimeter of 176 inches where the length is 20 inches more than the width, first, let's let the width be represented by w inches. The length will then be w + 20 inches. The perimeter of a rectangle is calculated by adding together twice the width and twice the length (P = 2w + 2l).

The formula with the given values will look like this:
176 = 2w + 2(w + 20)

Simplifying this equation gives us the width and subsequently the length:

176 = 2w + 2w + 40

176 = 4w + 40

136 = 4w

w = 34

So, the width of the carpet is 34 inches. To find the length, we add 20 inches to the width:

Length = w + 20 = 34 + 20 = 54 inches

Therefore, the dimensions of the carpet are 54 inches in length and 34 inches in width.

Answer: -5 1/4

Step-by-step explanation:

cause im smart

The given expression, 0.4 times the sum of reciprocals in an arithmetic sequence, is expressed using summation notation. Calculating the numerical value yields approximately 0.5244.

Breaking down the expression and writing it using summation notation:

The given expression is: 0.4 (1/2 + 1/2.4 + 1/2.8 + 1/3.2 + 1/3.6)

To express it in summation notation, we need to identify the pattern in the sequence.

The terms are reciprocals of an arithmetic sequence, where each term is obtained by adding a constant difference (0.4) to the previous term.

The nth term of the sequence can be expressed as: 2 + 0.4(n-1)

The expression in summation notation is: ∑ (from n = 1 to 5) of 1/(2 + 0.4(n-1))

Calculating the values and finding the sum:

For n = 1: 1/(2 + 0.4(1-1)) = 1/2

For n = 2: 1/(2 + 0.4(2-1)) = 1/2.4

Similarly, for n = 3, 4, and 5, we get 1/2.8, 1/3.2, and 1/3.6, respectively.

Summing these values, we get: Sum = 1/2 + 1/2.4 + 1/2.8 + 1/3.2 + 1/3.6

Multiplying by 0.4 (as in the original expression), we have: 0.4 * (1/2 + 1/2.4 + 1/2.8 + 1/3.2 + 1/3.6)

Calculating the numerical value:

0.4 * (1/2 + 1/2.4 + 1/2.8 + 1/3.2 + 1/3.6) ≈ 0.5244

Therefore, the final numerical value of the expression is approximately 0.5244.  

The line x=5 is the vertical line consisting of all points with x-coordinate equal to 5 (see attached graph).

A. Point (0,5) has first coordinate 0 (not 5).

C. Point (0,2) has first coordinate 0 (not 5).

D. Points (0,5) and (0,2) have first coordinates 0 (not 5).

B. Only in this option both points have first coordinates 5.

Answer: correct choice is B

The problem is solved by calculating the relative speed of the minute and hour hands of the clock and their current angular position. The current time when addressed the problem is approximately 10:26.

The problem presents an instance of math calculation with clock hands. Here we'll use the fact that a full rotation of a clock’s hand indicates 360 degrees. In 60 minutes, the minute hand makes a full rotation, moving at a speed of 360/60 = 6 degrees per minute. In 12 hours, the hour hand makes a full rotation, moving at a speed of 360/(12*60) = 0.5 degrees per minute.

Three minutes ago, the hour hand was 3 * 0.5 = 1.5 degrees behind its current position. Six minutes later from now, the minute hand will be 6 * 6 = 36 degrees forward its current position. As per the conditions of the problem, the minute hand will be exactly opposite to the position held by the hour hand three minutes ago in six minutes from now. The opposite position in terms of the clock involves an angle of 180 degrees.

Therefore, the difference between the positions of the minute and hour hands right now = 180 degrees + 1.5 degrees - 36 degrees = 145.5 degrees. As the minute hand moves faster, the speed of the minute hand relative to the hour hand = 6 degrees - 0.5 degrees = 5.5 degrees per minute. Hence, the time required for the minute hand to create an angle of 145.5 degrees from the hour hand = 145.5 / 5.5 ≈ 26.45 minutes.

Therefore, the time now in HH:MM format is 10:26 (approximately), as the time was in the hour of 10.

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From the given information, the sample size is 30 days and the probability is 0.80.

Here, it can be observed that the number of trials is fixed and the probability of success is 0.80. So, apply binomial distribution. The number of trials is fixed and the probability of success is 0.80. So, apply binomial distribution.

The mean of the binomial distribution is obtained below:

Mean = np = 30 * 0.8 = 24

The expected number of days on which all 50 loaves will be sold is 24.

The mean value obtained by multiply the sample size (n) and the probability of success (p). That is, the expected number of days on which all 50 loaves will be sold is 24.

The expected number of days on which all 50 loaves will be sold is 24.

Answer:

Substitute by equation 1 in equation 2:

3x+3x = 180

6x = 180

x = 30

Substitute with the value of x in equation 1 to get y as follows:

3x = 8y-70

3(30) + 70 = 8y

160 = 8y

y = 20

To calculate the height of a tree with a 60-meter long shadow when the Sun is 30 degrees above the horizon, use the tangent trigonometric function. The tree's height is calculated to be around 34.62 meters tall.

The student is asking how to calculate the height of a tree given the length of its shadow when the Sun is 30 degrees above the horizon. This is a trigonometry problem involving a right-angled triangle, where the tree represents the opposite side, the shadow represents the adjacent side, and the angle given is the angle of elevation of the Sun. Since we have the angle and the length of the adjacent side, we can use the tangent trigonometric ratio to find the height of the tree. The tangent of an angle in a right-angled triangle is the ratio of the opposite side to the adjacent side (tangent = opposite/adjacent).

Therefore, the tree is approximately 34.62 meters tall.

To solve this problem, we use the t statistic. The z score is calculated as:

z = (x – u) / s

where x is the sample value = 53 and 77, u is the mean score = 65 while s is the standard deviation = 4

when x = 53

z = (53 – 65) / 4 = -3

From the standard distribution tables, the p value at z = -3 is:

P (z=-3) = 0.0013

when x = 77

z = (77 – 65) / 4 = 3

From the standard distribution tables, the p value at z = 3 is:

P (z=3) = 0.9987

The percentage P between the two would be the difference:

P (53 < x < 77) = 0.9987 – 0.0013 = 0.9974

Answer:

0.9974 or 99.74%

Answer:

theres a 40% chance it will be a boy or a 60% change of a boy.

Step-by-step explanation:

40% because over half the population are girls but for the 60% its more common for boy twins.

hope you understand ^_^

The volume of the box is determined by finding the value of x from the perimeter equation, substituting it back into the expressions for length and width, and finally multiplying the dimensions with the height. Calculating these steps, the volume of the box is 1200 cm³.

To find the volume of a box, we multiply its length, width, and height. The student has provided the length as 3x + 2, the width as 2x - 2, and the height as x. We also know the perimeter of the base is 60 centimeters.

First, we calculate the perimeter of the base, which is 2(length + width). Hence, we set up the equation: 2(3x + 2 + 2x - 2) = 60. Simplifying this, we get 2(5x) = 60, therefore x = 6 cm.

Second, we substitute x into the expressions for length and width to get the actual dimensions of the box base: length 3(6) + 2 = 20 cm, and width 2(6) - 2 = 10 cm.

Finally, we calculate the volume of the box as length × width × height = 20 cm × 10 cm × 6 cm = 1200 cm³.