A rectangular parking lot has an area of 1,650 square yards. The length of the parking lot is 55 yards. What is the width of the parking lot, in yards?

Answer:

The measure of the complement =

= 80°

The measure of the supplement=

= 170°

Step-by-step explanation:

Let

90-x equal the degree measure of its complement

180-x equal the degree measure of its supplement.

We are told in the question that: the supplement of a given angle is 10 degrees more than twice its complement.

Hence, the Equation is;

(180 - x) = 10° + 2(90 - x)

180 - x = 10 + 180 - 2x

Collect like terms

-x + 2x = 10 + 180 - 180

x = 10°

Hence,

The measure of the complement =

90 - x

= 90 - 10

= 80°

The measure of the supplement=

180 - x

= 180 - 10

= 170°

The probability that x < 30, given a population mean of 54 and a standard deviation of 8, is 0.13%.

To find the probability that x < 30, we can use the properties of a normal distribution. Given a population mean of 54 and a standard deviation of 8, we can calculate the z-score corresponding to the value of 30 using the formula:

\(\[ z = \frac{x - \mu}{\sigma} \]\)

where x represents the value of interest, μ is the population mean, and σ is the standard deviation.

Substituting the given values, we have:

\(\[ z = \frac{30 - 54}{8} = -3 \]\)

Next, we consult a standard normal distribution table or use statistical software to find the probability associated with the z-score of -3. The probability of obtaining a value less than 30 can be interpreted as the area under the standard normal curve to the left of the z-score -3.

By referring to the standard normal distribution table or using software, we find that the probability associated with a z-score of -3 is approximately 0.0013. Therefore, the probability that x < 30, given the provided population mean and standard deviation, is approximately 0.0013 or 0.13%.

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Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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Answer:

In geometry, an icosioctagon (or icosikaioctagon) or 28-gon is a twenty eight sided polygon. The sum of any icosioctagon's interior angles is 4680 degrees.

Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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Answer:

The ribbon cost is $77

Step-by-step explanation:

Firstly, we need to get the 3rd side of the triangle

This represents the hypotenuse since we have 2 legs, we need the side connecting the legs

To get this, we use Pythagoras’ theorem

This states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

Thus;

x^2 = 56^2 + 33^2

x^2 = 3136 + 1089

x^2 = 4225

x = square root of 4225

x = 65 feet

So the length of all the sides will be;

56 + 33 + 65 = 154 feet

So the cost of the ribbon will be;

154 feet. * 0.5

= $77

Answer:

-true

-false

-true

-true

Answer:

true ,false,true,false

Step-by-step explanation:

60 for a family of five that means 12x5

Answer:

Step-by-step explanation:

in: mi

3:2

5:x

3*1.6667=5

2*1.6667=3.3334/

becaus the first answer was rounded up, the last one needs to be rounded down.

so the answer, rounded up to the nearest hundredth is 3.34

(rounded up to the nearest whole number is 3)

Answer:

I am not sure which form you want.

Points slope: y -2  = 3(x -4)

Slope intercept:  y = 3x -10

Step-by-step explanation:

Point slope form for the line

y- y = m(x -x)  

slope of 3 and the point (4,2)  Use 4 for x and 2 for y

y -2  = 3(x -4)

Slope intercept form of a line

y = mx + b

2 = 3(4) + b

2 = 12 + b  Subtract 12 from both sides

2 - 12 = 12 - 12 + b

-10 = b

y = mx + b

y = 3x -10

Answer:

25%

Thats the answer according to my calculations.

Answer:25%

Step-by-step explanation:

(too lazy too write anything here)

Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

Answer:

5 foot 4 inches

Step-by-step explanation:

Answer:

quadrant 3

Step-by-step explanation:

first you have to realize how the quadrants are positioned start top right and number 1 through 4 counter clockwise.

then you have to realize the number values in the quadrants

1 (x,y) 2 (-x,y) 3(-x,-y) 4( x,-y)

x<0 and y<0 both x and y are less than zero therefor quadrant 3

Answer: $169,500

Step-by-step explanation:

The mean simply means the average price of a set of a numbers that are given. For one t calculate the mean, one has to add the numbers that are given and then divide them by the amount of numbers.

I'm the case above, the numbers given are $165,000, $188,000, $175,000, and $150,000.

Mean = ($165,000 ,+ $188,000 +$175,000 + $150,000) ÷ 4

= $678,000/4

= $169,500

Answer:

c) $169,500

Step-by-step explanation:

I just took the quiz.

Answer:

it would be 12.5

Step-by-step explanation:

brainly deleted my answer from before

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Answer:It depends, many people do count 0 as a natural number, but MOST do not.

So for most HS text book, the answer is NO, all whole numbers are not natural numbers and the reason is 0 is a whole number but not a natural number.

Answer:

false

Step-by-step explanation:

because the set of whole numbers starts from 0 whereas the set of natural numbers starts from 1 and so on

Answer:

subject?

Step-by-step explanation:

Answer:

6.00%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The monic cubic polynomial with integer coefficients is x³ - 3x² + 3x + 2 with the leading coefficient as 1.

In order to find a monic cubic polynomial with integer coefficients, we can use the following method:

Let us assume that the cubic polynomial is of the form:x³ + bx² + cx + d

We need to find the values of b, c, and d such that the polynomial is monic and has integer coefficients.

Since the polynomial is monic, the coefficient of x³ is 1.

Therefore, we can write the polynomial as:x³ + bx² + cx + d = (x - r)(x² + px + q)

Where r is the root of the cubic polynomial, and p and q are constants to be determined.

We know that the sum of the roots of a cubic polynomial is equal to -b/1 = -b.

Therefore, the sum of the roots of our cubic polynomial is equal to:r - p/1 = -bOr,r + p = -b ...(1)

Also, we know that the product of the roots of a cubic polynomial is equal to -d/1 = -d.

Therefore, the product of the roots of our cubic polynomial is equal to r(q - r).

Thus,r(q - r) = -d ...(2)

Solving equations (1) and (2) for r and q, we get:

r = -b/3q = b²/3 - d

Hence, we can write the cubic polynomial as:

x³ + bx² + cx + d = (x + b/3)(x² + (b²/3 - d)x + r(b²/3 - d))

Let us choose d = 2 and r = 1, then we have:b = -3

Substituting these values, we get:x³ - 3x² + 3x + 2 = (x - 1)(x² - 2x - 2)

Therefore, the monic cubic polynomial with integer coefficients is x³ - 3x² + 3x + 2.

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Answer:

16 cm, 20 cm, 16 cm, 20 cm (list of all four sides)

Step-by-step explanation:

Denote one side as \(4x\) and the other as \(5x\). It well-known that opposite sides of parallelogram are equal.

Then perimeter \(P = 4x + 4x + 5x + 5x\) (sum of all sides).

We know that

\(P = 72\ cm\). So

\(4x + 4x + 5x + 5x = 72\)

\(18x = 72\)

\(x = 4\).

Now we can find sides:

first side: \(4x = 4\cdot 4 = 16\)

second side: \(5x=\) \(5\cdot 4 = 20\)

Answer:

16 cm and 20 cm

Step-by-step explanation:

Ratio = 4:5

Perimeter = 72 cm

Condition:

2(4x)+2(5x) = 72

=> 8x+10x = 72

=> 18x = 72

Dividing both sides by 18

=> x = 4

Now, The lengths are:

=> 4(4) = 16 cm

=> 5(4) = 20 cm

Answer:

Step-by-step explanation:

\( \sf \cfrac{8(x + 3)^{2} }{2(x + 3)} \)

Cancel out 2(x+3) in both numerator and denominator:

\(\sf 4(x + 3)\)

Use the distributive property to multiply 4 by x+3:

\(\sf 4x + 12\)

》》》》》》》》》》》》》》

Hope this helps!!

Have a nice day

Answer:

1289.8089172

Step-by-step explanation:

if you do 90 x 2 = 180 you get the circumference of what would be the complete circle, the formula for area with circumference is A = (C^2/4x3.14) so inserting 180, the answer is 2579.61783439, and half of that is a semi circle so 2579.61783439/2 = 1289.8089172

Answer:

Step-by-step explanation:

The change in temperature is

This change represents a percent increase

According to the question, to check whether the events are mutually exclusive or not mutually exclusive for the rolling pair of dice to get the total either as six or ten.

What are mutually exclusive events?

Mutually exclusive events are those events which cannot happen at the same time .For instance, in any event nobody can run forward or backward together at the same time.

Rolling a pair of dice to get the sum as 6, then is not mutually exclusive.

The calculation is as shown below:

P(E) = 6+5-1/36

= 10/36

= 5/18

= 27.8 %

Now, rolling a pair of dice to get either the sum as 6 or 10.

P(6 or 10)

= P(6)+P(10)

= 5/36+ 3/36

= 8/36

= 2/9

= 22%

Hence, it is not mutually exclusive event because the calculated percentage is 22%.

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In the given experiment, the part that will yield discrete data is when the nurses answer "yes" or "no" to having an R.N. degree. Discrete data consists of distinct and separate values, and in this case, it is the count of nurses with an R.N. degree and those without.

There is no part of the experiment that will yield continuous data, as the experiment only involves collecting binary responses from the nurses. Continuous data usually involves measurements that can take any value within a range, but this experiment doesn't include such measurements.

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The union of sets A and B is {m ∈ Z: m ≤ i} ∪ {m ∈ Z: m > j}, and the intersection of sets A and B is {m ∈ Z: m ≤ i and m > j}.

The union and intersection of sets A and B, given A = {m ∈ Z: m ≤ i} and B = {m ∈ Z: m > j}, can be determined as follows:

Union of A and B:

The union of two sets A and B, denoted by A ∪ B, is the set containing all the elements that are present in either A or B (or both). In this case, the union of A and B is the set of all integers that are either less than or equal to i, or greater than j. The union of A and B can be expressed as {m ∈ Z: m ≤ i} ∪ {m ∈ Z: m > j}.

Intersection of A and B:

The intersection of two sets A and B, denoted by A ∩ B, is the set containing all the elements that are common to both A and B. In this case, the intersection of A and B is the set of all integers that satisfy both conditions: m ≤ i and m > j. The intersection of A and B can be expressed as {m ∈ Z: m ≤ i and m > j}.

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The Maclaurin series through degree 4 of f(x)=(1+x)^(-4/3) is approximately 1 - (4/3)x + (14/9)x^2 - (56/27)x^3 + (208/81)x^4.

To find the Maclaurin series of f(x)=(1+x)^(-4/3), we start by using the formula for the Maclaurin series of a function f(x) centered at x=0:

f(x) = ∑[n=0 to infinity] f^(n)(0) * x^n / n!

where f^(n)(0) represents the nth derivative of f(x) evaluated at x=0.

We begin by finding the first few derivatives of f(x):

f(x) = (1+x)^(-4/3)

f'(x) = (-4/3)(1+x)^(-7/3)

f''(x) = (28/9)(1+x)^(-10/3)

f'''(x) = (-224/27)(1+x)^(-13/3)

f''''(x) = (2912/81)(1+x)^(-16/3)

Evaluating these derivatives at x=0, we get:

f(0) = 1

f'(0) = -4/3

f''(0) = 14/9

f'''(0) = -56/27

f''''(0) = 208/81

Substituting these values into the Maclaurin series formula, we get:

f(x) ≈ 1 - (4/3)x + (14/9)x^2 - (56/27)x^3 + (208/81)x^4

This gives us the Maclaurin series through degree 4 of f(x)=(1+x)^(-4/3).

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b₃ = q2 = -(-1/3) = 1/3 are the values of the secondary coefficients.

Given c₃ = 2/3-j.

The values of the secondary coefficients a₃ = q1 and b₃ = q2 can be found using the formula below;

                             a₃ = (2/3 - j)/2

                            b₃ = -(2/3 - j)/(2j)

We are given c₃ = 2/3-j.

Thus, we can find the secondary coefficients a₃ = q1 and b₃ = q2 as follows;

                              a₃ = (2/3 - j)/2

We know that;c₃ = a₃ - jb₃

Also, we know that;c₃ = 2/3-j

Comparing the two equations above, we can write; a₃ = Re(c₃)/2= 2/3/2= 1/3

So a₃ = q1 = 1/3b₃ = -(2/3 - j)/(2j)

We know that;c₃ = a₃ - jb₃

Also, we know that;c₃ = 2/3-j

Comparing the two equations above, we can write;

                             jb₃ = c₃ - a₃= (2/3 - j) - 1/3

                                   = (2/3) - (1/3) - j= 1/3 - j

So b₃ = q2 = -(-1/3) = 1/3

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