David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes.

Answer:

3

Step-by-step explanation:

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

Herein we must make use of trigonometric expressions and properties of trigonometric functions to find the right value. According to trigonometry, both cosine and sine are negative in the third quadrant. Thus, by using the fundamental trigonometric expression (sin² α + cos² α = 1) and substituting all known terms we find that:

\(\sin \theta = -\sqrt{1 - \cos^{2}\theta}\)

\(\sin \theta = - \sqrt{1 - \left(-\frac{13}{30} \right)^{2}}\)

sin θ ≈ - √731 / 30

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

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Answer:

slope is -3

Step-by-step explanation:

change in y over change in x is -3/1

Answer:

25%

Step-by-step explanation:

U flipped a coin 12 times, it lands on tail 9 times. Now the probability of landing on head = 12-9

= 3

In percentage= 12\3 *100

=25%

Answer:

0.25%

Step-by-step explanation:

Answer:

6100

Step-by-step explanation:

I think its 1600

Answer: 61219.444

Step-by-step explanation:

The decimal will go 3 times to the right on the nearest thousandths place.

~I hope I helped you! :)~

For the function f(x) = 2/x, the difference quotient is D: -2 / x(x + h).

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The difference quotient for a function f(x) is given by -

(f(x + h) - f(x)) / h

Substituting f(x) = 2/x, we get -

(f(x + h) - f(x)) / h = [2 / (x + h) - 2 / x] / h

To simplify this expression, we need to find a common denominator -

2x / x(x + h) - 2(x + h) / x(x + h) = [2x - 2(x + h)] / x(x + h)

= -2h / x(x + h)

Multiplying both numerator and denominator by -1, we get -

(2h) / x(x + h) × (-1)

= -2h / x(x + h)

Therefore, the solution obtained is -2 / x(x + h).

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Answer: answer is -2/x(x + h). I took the test and got it right.

Step-by-step explanation:

u can add lines to split the figure into a triangle and two rectangles.

Area of the figure

= (12x15)/2 + 6x4 + 2x5

=124 yd^2

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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Answer:

73

Step-by-step explanation:

Answer:

95% is 1700 customers

Step-by-step explanation:

JK i actually dont know but thnks for the points BTW

The term used to describe an error that occurs when numbers are moved to the right or left in an amount column is "Slide".

Slide:

An accounting slide is a mistake that happens when the decimal point of a number is moved to the left or right of where it should be.

For instance, a bookkeeper would enter $1,200.50 in place of $12,005 in the revenue account or $250.75 in place of $2,507.50 in the monthly insurance expenses. In general, bookkeeping mistakes and accounting blunders lead to financial record misstatements.

"Slide" is the name for a mistake that happens when numbers are moved to the right or left in an amount column.

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Answer: 2

Step-by-step explanation:

= Convert  1 2/3 to an improper fraction (which is 5/3)

= Convert 1 1/5 to an improper fraction (which is 6/5)

= Proceed to cancel out the common factor of 5 so your answer should start to look like this

1/3 * 6

= Now cancel the common factor which is three

Therefore your answer is 2

Hope it helps ^^

Answer: 7,000

Step-by-step explanation: the hundred was greater than 5 so we round up any number after whatever you are doing if it’s 5 or greater you round up

The correct answer is A, true. When the correlation coefficient is positive, it indicates that there is a positive relationship between two variables.

This means that as one variable increases, the other variable also tends to increase. Therefore, above-average values of one variable are associated with above-average values of the other. However, it is important to note that a positive correlation does not necessarily mean that there is a strong relationship between the two variables or that one variable causes the other. It simply means that there is a tendency for the two variables to vary in the same direction.

In statistical analysis, understanding the correlation coefficient and the relationship between variables can help to make better decisions and predictions.

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A relation that assigns to each element x from a set of inputs, or domain, exactly one element y in a set of outputs, or range, is called a  function.

This is further explained below.

Generally, A mathematical function from set X to set Y gives each element of X a unique value in Y. The set X is known as the function's domain and the set Y is its codomain. The original function was a simplification of the relationship between two variables.

In conclusion, A relation is said to be a function if it assigns precisely one element y from a set of outputs to each and every one of the domain's inputs.

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The margin of error is 3.22

Given: A confidence interval is: ( 56.28 , 62.72)

Lower Limit = 56.28

Upper Limit = 62.72

Thus margin of Error E is given by:

E =\(\frac{Upper limit-lower limit}{2}\)

E =\(\frac{ 62.72-56.28}{2}\)

E\(= \frac{ 6.44 }{2}\)

E = 3.22

Therefore, the margin of error is 3.22

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The number of trading cards of international players that Elias has will be 240.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

Elias has an assortment of 1,200 baseball exchanging cards. Of these cards, 35% are from the American Association, 45% are from the Public Association, and the rest are worldwide players.

Let n be the number of trading cards of international players. Then the equation is given as,

n + 1200 x 0.45 + 1200 x 0.35 = 1200

Simplify the equation, then we have

n + 540 + 420 = 1200

n + 960 = 1200

n = 1200 - 960

n = 240

The number of trading cards of international players that Elias has will be 240.

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Answer:

c≤  24/25

​

Step-by-step explanation:

"0.3" was replaced by "(3/10)". 2 more similar replacement(s). Simplify 3/10

    61     3      

 (—— -  ——) -  (c + 1)  ≥ 0    then simplify 61/10

  10    10    

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

    61 - (3)                   29

————————  =  ——

     10                          5

29    

 —— -  (c + 1)  ≥ 0  

 5    

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

            c + 1     (c + 1) • 5

   c + 1 =  —————  =  ———————————

              1            5      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Rewrite the whole as a fraction using  5  as the denominator :

                         c + 1     (c + 1) • 5

   c + 1 =  —————  =  ———————————

                             1            5    

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

                              29 - ((c+1) • 5)     24 - 5c

————————————————  =  ———————

                                          5                5

    24 - 5c

 ———————  ≥ 0  

      5    

Multiply both sides by  5  

5.2    Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     5c-24  ≤ 0

5.3    Divide both sides by  5  

     c-(24/5)  ≤ 0

5.4      Add  24/5  to both sides

            c ≤ 24/5

Answer:

wehj

Step-by-step explanation:

The recursive function that returns the nth fibonacci number is stated as follows -

The recursive function will be -

def fibonacci (n):

if n <= 1:

return n

else:

return fibonacci(n - 1)

To use this function, users must write it as follows-

print(fibonacci(6)) where the generated output will be 8. The answer is provided by calculating the average of (n - 1)th and (n - 2)th numbers to get he nth fibonacci number. The methodology is utilizes owing to presence of 0 and 1 in the beginning.

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The complete question is -

Fibonacci In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, characterized by the fact that every number after the first two is the sum of the two preceding ones: 0, 1, 1, 2, , 5, 8, 13, ... Write a recursive function that returns the nth fibonacci number.

The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

\(s=R/4\)

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

\(s=max-min/4\)

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

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The height of the prism whose volume is 600cm^3 is 10 cm

What is the Volume of a prism?

The total area that a prism takes up in three dimensions is known as its volume. It is defined mathematically as the result of the base's area and length.

Therefore,

Prism volume is equal to Base Area x Length.

Cubic units are the unit of measurement used to indicate a three-dimensional object's volume.

A triangular prism's volume

A triangular prism is a prism that has three rectangular sides and two triangle bases. The formula for a triangular prism's volume is as follows since the cross-section of a triangular prism is a triangle:

The volume of a Triangular Prism = (½) abh cubic units.

Where

a is a triangular prism's apothem length.

b is the triangular prism's base length.

h is a triangular prism's height.

The volume of a triangular prism is area x length

Volume = 600cm^3

base =6cm

length = 20cm

height=?

The area of the triangle is 1/2 x base x height = 3 x height

volume = area x length

volume= 3 x height x 20

600 = 60 x height

height = 10 cm

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Answer:

2.5

Step-by-step explanation:

You can do this in an easier way than you may be thinking. You know that 1/000 is 1 mm, therefore to get 2,500, you multiply it by 2.5.

Answer:

\(1\ m\)

Step-by-step explanation:

Step 1:  Determine the total millimeters

\(2 * 500\ mm\)

\(1000\ mm\)

Step 2:  Covert to meters

\(1000\ mm * \frac{1\ m}{1000\ mm}\)

\(1\ m\)

Answer: \(1\ m\)

The probability that marksman will hits the target at most 13 times is  27.92%.

The number of successes ("x") is the probability mass function for such binomial distribution.

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

We are interested in the likelihood that the target will be struck exactly five times, therefore the desired number of successes is five (i.e., x = 13).

P(X = 13) =  ¹⁵C₁₃. (0.89)¹³ (0.11)²

P(X = 13) = 0.2792

P(X = 13) = 27.92%

Thus, the probability that marksman will hits the target at most 13 times is  27.92%.

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Answer: 29,692.5 gallons of water

Step-by-step explanation: first i multiplied 7.5 and 107 and got 802.5 and since it wanted to know about 37 days i multiplied 802.5 by 37 and got 29,692.5

The difference is quartiles 3 - quartiles 1 = 2.05 - 1.79 = 0.26

The first quartile (Q1) is the 25th percentile of a dataset, which separates the lowest 25% of the data from the rest. The third quartile (Q3) is the 75th percentile of a dataset, which separates the lowest 75% of the data from the highest 25%. To find the difference between Q1 and Q3, you would subtract Q1 from Q3.

In this specific dataset, you would need to sort the values first in increasing order:

1.61, 1.75, 1.79, 1.84, 1.96, 2.09, 2.11

The first quartile (Q1) is the median of the lowest half of the dataset, which is 1.79

The third quartile (Q3) is the median of the upper half of the dataset, which is 2.05

so the difference is Q3 - Q1 = 2.05 - 1.79 = 0.26

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Answer:

1.1. 3(2a-7)

1.2. 3x(2x+3)

Step-by-step explanation:

Put the common factor on the outside of the parentheses.

1.1. 6a-21

The lowest common factor for 6a and -21 is 3.

     3(2a-7)

1.2. \(6x^{2} +9x\)

The lowest common factor for \(6x^{2}\) and 9x is 3x.

      3x(2x+3)

(a) To find P(3), we look at the probability distribution table and find the probability associated with X = 3. From the given information, P(X = 3) = 0.34.

(b) To find the mean μ of X, we multiply each value of X by its corresponding probability and sum the results.

μ = (2 * 0.51) + (3 * 0.34) + (4 * 0.10) + (5 * 0.04) + (6 * 0.01)

  = 1.02 + 1.02 + 0.40 + 0.20 + 0.06

  = 2.70

Therefore, the mean μ of X is 2.70.

(c) To find the standard deviation σ of X, we first calculate the variance. The variance is the sum of the squared differences between each value of X and the mean, weighted by their respective probabilities.

Var(X) = [(2 - 2.70)^2 * 0.51] + [(3 - 2.70)^2 * 0.34] + [(4 - 2.70)^2 * 0.10] + [(5 - 2.70)^2 * 0.04] + [(6 - 2.70)^2 * 0.01]

        = 0.1764 + 0.0289 + 0.0324 + 0.0276 + 0.0144

        = 0.2797

The standard deviation σ of X is the square root of the variance.

σ = √Var(X) = √0.2797 ≈ 0.5288

Therefore, the standard deviation σ of X is approximately 0.5288.

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Answer:

Step-by-step explanation:

Left parenthesis, n, right parenthesis, equal, minus, 11, minus, 8, left parenthesis, n, minus, 1, right parenthesis.

The value of "n" is 6.

"n" is related to a circle with intersecting chords labeled 5, n+4, 7, and n+8 [1]. To find the value of "n", we can use the property that states that if two chords intersect inside a circle, the products of their segments are equal. Using this property, we can set up the following equation:

7(n+4) = 5(n+8)

Expanding the brackets, we get:

7n + 28 = 5n + 40

Simplifying, we get:

2n = 12

n=6

A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a fixed distance (called the radius) from a given point (called the center). It is a closed shape, meaning that it has no beginning or end, and its boundary is a continuous curve.

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