witch is a value of a perfect square

A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.

The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.

The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.

The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.

It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.

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The person's approximate height can be determined by using a similar triangle and the properties of shadows.

When a person stands in the sunlight, they cast a shadow on the ground. The length of the shadow depends on various factors such as the height of the person and the angle of the sun's rays. In this scenario, we have a person standing seven feet away from a building with a light mounted on it, and the light is ten feet from the ground. By understanding the relationship between the person's distance from the light and the length of their shadow, we can estimate the person's approximate height.

To solve this problem, we can make use of similar triangles and proportions. Let's consider the triangles formed by the person, their shadow, and the building.

We have two similar right triangles:

Triangle 1: The person's height (let's call it "h") is the vertical side, and the length of their shadow is the horizontal side.

Triangle 2: The height of the building (10 ft) is the vertical side, and the distance between the person and the building (7 ft) plus the length of their shadow is the horizontal side.

Since the two triangles are similar, their corresponding sides are proportional. We can set up the following proportion:

(h / shadow length) = (10 ft / (7 ft + shadow length))

Cross-multiplying and simplifying the equation, we get:

h * (7 ft + shadow length) = 10 ft * shadow length

Expanding the equation, we have:

7h ft + h * shadow length = 10 * shadow length ft

Rearranging the equation to isolate the shadow length, we get:

h * shadow length - 10 * shadow length = -7h ft

Factoring out the shadow length, we have:

shadow length * (h - 10) = -7h ft

Dividing both sides by (h - 10), we obtain:

shadow length = (-7h) / (h - 10) ft

Given that the person's shadow length is six feet, we can substitute this value into the equation:

6 ft = (-7h) / (h - 10) ft

Now, we can solve for the person's height (h):

6 ft * (h - 10) ft = -7h ft

6h - 60 = -7h

Combining like terms, we get:

13h = 60

Dividing both sides by 13, we find:

h = 60 / 13 ≈ 4.62 ft

Therefore, the person's approximate height is around 4.62 feet.

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Answer:

3. D

4. A

5. B

Step-by-step explanation:

Answer:

d= 44.145 m (meters)

Step-by-step explanation:

distance = (g*t²)/2

t=3 sec. d=?  , g=9.81 m/s²

distance (d)=9.81*(3)²/2  

d= 44.145 m

Answer:

x=35

Step-by-step explanation:

Triangles always add up to 180 degrees, and so do straight lines. so 180-131=49, 49+96=145, 180-145=x, so x=35 degrees

Answer:20

Step-by-step explanation:

8 members=8mins

1 member=80 mins

20members=2.5mins

Answer:

Kindly check attached picture for box plot

Step-by-step explanation:

Given the data :

43 46 49 51 52 52 58 55 65 66 67 66 66 67 67 69 71 73 75 79 77 83 85 86 87

Using the software to create a box plot, the box plot five number summary is a given below ;

Sample size: 25

Median: 67

Minimum: 43

Maximum: 87

First quartile: 53.5

Third quartile: 76

Interquartile Range: 22.5

With no outliers.

For a sample of 72 batteries, the probability that the average battery life of the sample exceeds 1173.8 minutes is 0.9918.

It states a battery life variance of 8100 minutes and a median battery life of 1192 minutes.

In a sample of 72 batteries, find the probability that the average battery life (x) of the sample exceeds 1173.8 minutes.

Due to the large sample size (n = 72), we can use the central limit theorem to assume that the sample mean follows a normal distribution with mean μ = 1192 and standard deviation σ = sqrt(8100/72) = 30.

So the z-score for x= 1173.8 is

z = (x - μ) / (σ / sqrt(n))

= (1173.8 - 1192) / (30 / square(72))

= -2.4

You can use a standard normal distribution table or calculator to find the probability that a  standard normal random variable is greater than -2.4. This is 0.9918 (rounded to four decimal places).

Therefore, for a sample of 72 batteries, the probability that the average battery life of the sample exceeds 1173.8 minutes is 0.9918 (rounded to four decimal places) if the claim is correct. 

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Answer:

Step-by-step explanation:

<NOC is 31 because it is a vertical angle to <BOK, which is also 31

<DOC is 62 because it is two times the bisected <NOC. 2*31=62

<DON is 31 because it is the bisected angles <DON and <NOC are equal.

<TOC is 118 because <KOT and <NOC are both 31 degrees. Since they lie on a line together, the three angles should add up to 180 degrees. 180-31-31 = 118

I hope this helps! :)

Concluding, there are (2 + 12) boxes of pencils left.

We know that Ms. Bloom had (4 + 7/12) boxes of pencils, and we also know that (2 + 1/12) of the boxes were broken.

The number of boxes of pencils left is given by the difference between the two above numbers, then we get:

N = (4 + 7/12) - (2 + 1/12) = (4 - 2) + (7/12 - 1/12) = 2 + 6/12

Now we can simplify the fraction:

N = 2 + 1/2

Concluding, there are (2 + 12) boxes of pencils left.

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Answer: -5

Step-by-step explanation:

There are two solutions to the system of linear equations depicted in the graph: one at (0,4) and one at (-3,0). There is only one distinct solution to the system of equations where the two lines intersect at the points (-3,0) and (0,4).

If the slopes are the same but the y-intercepts vary, the system has no solution. If the slopes are different, the system only has one solution. The system has an endless number of solutions if the slopes and y-intercepts match.

There are therefore countless possible answers. A different kind of linear equation system is a system with two parallel lines represented by the equations is referred to be an inconsistent system. The lines have distinct y-intercepts but the same slope.

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Answer:

c

Step-by-step explanation:

A chronic cough and chest pain that Henry has developed as he worked for the restoration of old buildings due to exposure to volatile organic compounds asbestos ammonia are symptoms of an illness called Silicosis.

Silicosis is a long-term lung disease generated by inhaling large amounts of crystalline silica dust, generally over many years. Silica is a substance naturally formed in certain types of stone, rock, sand and clay. Working with these materials may develop a very fine dust which can be easily inhaled.

This illness generates when a construction worker breathes in silica particles, that can penetrate into the lungs and cause inflammation and scarring. In most cases, treatment for silicosis is focused at alleviating the symptoms, such as a chronic cough, shortness of breath, and chest pain.

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Answer:

A

Step-by-step explanation:

The range is the y values.  The y value is as low as -10 and as high as 8.

The given argument is invalid. It says that if one person has more gray hair in their beard than another person, then they have a higher percentage of gray hair in their beard.

The argument is invalid because it is possible for one person to have a higher percentage of gray hair in their beard but a lower number of gray hairs in total.One possible counterexample by model is:Suppose Plato has 200 hairs in his beard and 50 of them are gray. So, 1/4 of his hairs are gray. Now, let's suppose Aristotle has 400 hairs in his beard, and 300 of them are gray. So, 3/4 of his hairs are gray. Even though Plato has fewer gray hairs than Aristotle, his percentage of gray hairs is more significant (1/4) than Aristotle's (3/4).

Therefore, the given argument is invalid since Aristotle's beard contains more gray hairs in quantity, but Plato has a higher percentage of gray hair in his beard.

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Answer:

look on symbolab got my answer from there'

Step-by-step explanation:

Answer:

Step-by-step explanation:

-42

The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

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Answer:

Answer: -1-1i and -1+1i

Step-by-step explanation:

The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

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Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.

When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.

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Answer:

17

Step-by-step explanation:

17

Answer:

sin : 9/25

cos : 24/25

tan : 9/24

Step-by-step explanation:

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent

opposite is the side that is opposite of the angle

adjacent is the side adjacent to the angle that is not the hypotenuse

sin : 9/25

cos : 24/25

tan : 9/24

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Answer:

1.8 miles

Step-by-step explanation:

Let's start by finding the cost of the actual cab ride, without the tip. We know that the total cost was $11.25, and that included a $3.00 tip, so the cost of the ride itself was:

 $11.25 - $3.00 = $8.25

Now we can use the information about how the taxi charges to figure out how far Travis traveled. We know that the taxi charges a flat fee of $3.25, plus a state tax of $0.50, plus $0.50 for each 1/5 mile traveled. So the cost of the ride can be expressed as:

 $3.25 + $0.50 + ($0.50 × distance traveled in 1/5 miles) = $8.25

We can simplify this equation by subtracting the fixed costs ($3.25 + $0.50) from both sides:

 $0.50 × distance traveled in 1/5 miles = $8.25 - $3.75 = $4.50

Now we can solve for the distance traveled by dividing both sides by $0.50:

 distance traveled in 1/5 miles = $4.50 ÷ $0.50 = 9

So Travis traveled 9 units of 1/5 mile. To convert this to decimal form, we simply multiply by 1/5:

distance traveled = 9 × 1/5 = 1.8 miles

Therefore, Travis traveled 1.8 miles from his office to the meeting.

Answer:

Hello,

Step-by-step explanation:

\(n=\overline{EDCBA}\\\\A=3*B\ My\ ones\ digit\ is\ three\ times\ greater\ than\ my\ tens\ digit.\\E=3+B\ My\ ten\ thousands\ digit\ is\ 3\ more\ than\ my\ tens\ digit.\\C=2*E\ My\ hundreds\ digit\ is\ twice\ my\ ten\ thousands\ digit. \\D=C-1\ My\ thousand\ digit\ is\ one\ less\ than\ my\ hundreds\ digit.\\\\A=3*B\\E=3+B\\C=2*E\\D=C-1\\\\\begin{array}{|c|c|c|c|c|}A&B&C&D&E\\--&--&--&--&--\\0&0&6&5&3\\3&1&8&7&4\\6&2&X&X&5\\9&3&X&X&6\\X&4&X&X&X\\--&--&--&--&--\\\end{array}\\\)

\(\\\\Numbers\ are\ 35600\ or\ 47813.\)

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

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Thus,  the store sold 9 purses and 27 blouses on that day, and the total revenue from selling these items was $1107.

To solve this problem, we need to use algebraic equations. Let's start by assigning variables to the unknown quantities. Let x be the number of purses sold and y be the number of blouses sold.

From the problem, we know that the blouses cost $28 each and the purses cost $39 each. Therefore, the total revenue from selling x purses and y blouses is given by:

Revenue = 28y + 39x

We also know that the store sold three times as many blouses as purses. Therefore, we can write:
y = 3x

Now we can substitute y = 3x into the revenue equation and solve for x:
1107 = 28y + 39x
1107 = 28(3x) + 39x
1107 = 84x + 39x
1107 = 123x
x = 9

So the store sold 9 purses. To find the number of blouses, we can use the equation y = 3x:
y = 3x = 3(9) = 27

Therefore, the store sold 27 blouses.

In summary, the store sold 9 purses and 27 blouses on that day, and the total revenue from selling these items was $1107.

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We can simply multiply the subsequent probabilities of losing each game. = 12.9%.

According to our question-

we can simply multiply the subsequent probabilities of losing each game. So (3/5 * 3/5

* 3/5 * 3/5)

= 81/625

= .129 = 12.9%

Hence, We can simply multiply the subsequent probabilities of losing each game. = 12.9%.

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Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm not sure, but I think its 5