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Describe the histogram using the SUCS acronym

The probability of drawing a number more than 5​ is 0.167

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

A number cube of 6 faces

Where we have

Total outcomes = 6

Outcome greater than 5 = 1 i.e. face e

Using the above as a guide, we have the following:

P(Number greater than 5) = 1/6

Evaluate

P(Number greater than 5) = 0.167

Hence, the the probability of drawing a number more than 5​ is 0.167

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Complete question

A number cube with faces labeled from 1 to 6 is rolled once.

Find the probability of drawing a number more than 5​

Convert \(-1+i\) to polar form.

\(z = -1 + i \implies \begin{cases}|z| = \sqrt{(-1)^2 + 1^2} = \sqrt2 \\\\ \arg(z) = \pi + \tan^{-1}\left(\dfrac1{-1}\right) = \dfrac{3\pi}4 \end{cases}\)

By de Moivre's theorem,

\(\left(-1+i\right)^7 = \left(\sqrt2 \, e^{i\,\frac{3\pi}4}\right)^7 \\\\ ~~~~~~~~ = \left(\sqrt2\right)^7 e^{i\,\frac{21\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \, e^{-i\,\frac{3\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \left(\cos\left(\dfrac{3\pi}4\right) - i \sin\left(\dfrac{3\pi}4\right)\right) \\\\ ~~~~~~~~ = 8\sqrt2 \left(-\dfrac1{\sqrt2} - \dfrac1{\sqrt2}\,i\right) \\\\ ~~~~~~~~ = -8 (1 + i)\)

QED

Answer: 10

Step-by-step explanation:

2.5 times 4

Answer: x=11. y=22.

Step-by-step explanation: This is a 30-60-90 triangle. To find the short leg, divide 11\(\sqrt3\) by \(\sqrt3\). 11\(\sqrt3\)/\(\sqrt3\)=11. This is the value of x. Now take the value of x, 11, and multiply by 2 to get the hypotenuse, y. 11*2=22.

Answer: Aprox $2.22

Step-by-step explanation:

We can determine the unit price by dividing

30/13.5 = 2.22222...

So the grapes cost aproximately $2.22 per pound

Answer:

16.01

Step-by-step explanation:

sin 88° = 16/x

0.9994x = 16

x = 16.01

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Answer:

No solution, this is not an arithmetic sequence

Step-by-step explanation:

An arithmetic sequence is the same number being added over and over. This is not the case.

Answer:

The percentage of hotels with rates between 120 and 144 euros is 84%.

Step-by-step explanation:

We know that the distribution of the nightly rate for a hotel in Rome is bell shaped with a mean of 138 euros and a standard deviation of 6 euros.

We want to know the proportion of hotels between 120 and 144 euros.

We can approximate the distribution to a normal distribution and calculate the z-score for both boundaries:

\(z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{120-138}{6}=\dfrac{-18}{6}=-3\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{144-138}{6}=\dfrac{6}{6}=1\)

Then, we can calculate the proportion as the probability of having rates between 120 and 144:

\(P=P(120<X<144)=P(-3<z<1)\\\\P=P(z<1)-P(z<-3)\\\\P=0.8413-0.0013\\\\P=0.8400\)

Then, we can conclude that the percentage of hotels with rates between 120 and 144 euros is 84%.

Answer:

That's the symbol for pi

Step-by-step explanation:

Answer:

10pi = 31.41592653 . . . .

Step-by-step explanation:

10 times pi is shifting everything 1 decimal place to the left

pi is about 3.141592 . . . .

Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

Answer:

20 meters per minute

Step-by-step explanation:

5 m=15 s

1 m=3 s

20 m=60 s

20 m= 1 minute

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

The total amount in the smaller feeder is 2 kg.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Chindi puts 2(3/5) kg of bird seed in his large feed.

This is 1(3/10) times as much bird seed as he puts in his smaller feeder.

The total amount is represented by 1.

Now,

1(3/10) = 2(3/5) kg

13/10 = 13/5 kg

Multiply both sides by 10/13

1 = 10/13 x 13/5 kg

1 = 2 kg

This means the total amount of seeds in the smaller feeder is 2 kg.

Thus,

The total amount in the smaller feeder is 2 kg.

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The values of all the required angles are; m∠5 = 42°; m∠8 = 138°; m∠10 = 138° and m∠11 = 42°

Corresponding angles are formed where a line known as an intersecting transversal, crosses through a pair of straight lines.

Now, we are given that; m∠1 = 42°

By corresponding angles, we can say that;

m∠1 = m∠5

Thus; m∠5 = 42°

Now, we know that sum of angles on a straight line is equal to 180° i.e. they are supplementary angles.

Now, from the diagram, we can see that m∠5 and m∠8 are supplementary angles and as such;

m∠5 + m∠8 = 180°

42 + m∠8 = 180

m∠8 = 180° - 42°

m∠8 = 138°

Now, m∠9 is a corresponding angle to both m∠1 and m∠5. Thus, we can say that; m∠9 = 42°. However, m∠9 is supplementary to m∠10. Thus;

m∠10 = 180 - 42

m∠10 = 138°

Lastly, m∠10 and m∠11 are supplementary angles and as such;

m∠10 + m∠11 = 180°

138 + m∠11 = 180

m∠11 = 180° - 38°

m∠11 = 42°

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Length of JN = 10

x = 6

Given ,

S is the center of the circle.

JK = 20

LM = 3x + 2

SN = 12

SP = 12

Now ,

SN and SP are perpendicular to the chords JK and LM respectively .

Perpendiculars drawn from the center of circle to the chords bisect chords into two equal halves .

Thus,

JN = JK/2

JN = 10

Now join SJ,

In ΔSJN ,

Apply pythagoras theorem,

SN² + NJ² = SJ²

12² + 10² = SJ²

SJ = 14.52

SJ =Radius of the circle .

Now,

LP = LM/2

LP = 1.5x + 1

Now join  SL,

In ΔSLP

SP² + PL² = SL²

SL = SJ (radius of circle)

So,

12² + (1.5x + 1)² = 244

x = 6

Hence the value of x is 6 and JN is 10 .

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The expression for a in terms of c is \(a^{2}= \sqrt{c^{2} -9}\). The correct option is the third option \(a^{2}= \sqrt{c^{2} -9}\)

From the question, we are to determine the expression for a in terms of c

In the given right triangle, we can write that

\(c^{2} = a^{2} +3^{2}\) (Pythagorean theorem)

Thus,

\(c^{2} = a^{2} +9\)

\(a^{2}= c^{2} -9\)

\(a^{2}= \sqrt{c^{2} -9}\)

Hence, the expression for a in terms of c is \(a^{2}= \sqrt{c^{2} -9}\). The correct option is the third option \(a^{2}= \sqrt{c^{2} -9}\)

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Answer:

calculator gave me 6.5732

Step-by-step explanation:

Answer:

5x = 12

Step-by-step explanation:

Answer:5.3

Step-by-step explanation: you multiply 31 by 2 then you subtract the product of 31×2 from 78 then you divide that by three

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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The cost of each ingredient is given as $0.75

Given:

A of Pho soup costs $7.25. The cost of the small bowl was $5 and it had 3 ingredients.

To find the individual costs,

Subtract the cost of the bowl from the total cost (7.25 - 5.00 = 2.25)

Then divide 2.25 by 3 (because there are three ingredients) the answer is $0.75

A cost is the value of money that has been used up to produce something or deliver a service and is thus no longer available for use in production, research, retail, or accounting. In business, the cost could be one of acquisition, in which case the money spent to acquire it is counted as cost.

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A bowl of Pho soup costs $7.25. The cost of the small bowl was $5 and it had 3 ingredients. What was the cost of each ingredient? (each ingredient was the same price).

Answer:

Use the following Financial Ratios to measure financial performance against standards. In addition, analysts compare these ratios to industry averages (benchmarking), industry standards or rules of thumbs and against internal trends (trends analysis). Furthermore the most useful comparison when performing financial ratio analysis is trend analysis They are derived from thethree following financial

statements:

⚫Balance Sheet

•Income Statement

⚫Statement of Cash Flows

.5 Categories

The five (5) major categori in the financial ratios list include the following:

•Liquidity Ratios

•Activity Ratios

•Debt Ratios

•Profitability Ratios

•Market Ratios

Step-by-step explanation:

Sana makatulong

Ratios dealing with short-term debts are Liquidity Ratios; those gauging efficiency in using assets for sales are Activity Ratios, and those scrutinizing long-term debt handling are Leverage Ratios. Along with the calculations, observations and identification of trends and their driving factors are also necessary.

In finance and business, ratio analysis is a tool used for conducting quantitative analysis on a company's financial statements. It involves the calculation and interpretation of various financial ratios. The following are the answers to the question's blanks:

However, only calculating ratios is not enough; you must also observe and identify trends suggested by the analysis, as well as identify the factors that drive these trends. These additional steps provide context and deeper insights into the company's financial performance.

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A locus, or point, line, or moving surface, is a curve or other shape created in mathematics by all the points that meet a specific equation describing the relationship between the coordinates.

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Answer: 9/20

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of 3/4 and 3/10. In other words, find the Least Common Multiple (LCM).

The LCM would be 20

2) Make the denominators the same as the LCD

3*5/4*5 - 3*2/10*2

3) Simplify

15/20 - 6/20

4) Now combine both fractions because they have the same denominator.

ANS= 9/20

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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