fill in the blank. balancing _____. select one: a. uses a series of increasingly sketchy data flow diagrams (dfds) to describe an information system

Answer:

Proportionality Constant = k = \(\frac{1}{9}\)

Step-by-step explanation:

Equation is:

\(y = \frac{x}{9}\)

=> \(y = (\frac{1}{9} ) x\)

Comparing it with \(y = kx\), where k is the proportionality constant, We get:

Proportionality Constant = k = \(\frac{1}{9}\)

Answer:

\({\sf \frac{1}{9}}\)

Step-by-step explanation:

y and x are the directly proportional quantities.

\(\sf y=kx\)

The constant of proportionality is k.

The equation is:

\(\sf y=\frac{x}{9}\)

\(\sf y=\frac{1}{9} x\)

The value of k in this equation is:

\(\sf k= \frac{1}{9}\)

Therefore, the probability that the random variable X falls between 37 and 85 is approximately 0.8916 or 89.16%.

To compute the probability P(37 < X < 85) for a normally distributed random variable X with a mean μ = 70 and standard deviation σ = 12, we need to standardize the values and use the standard normal distribution.

First, we calculate the z-scores for the given values:

z1 = (37 - μ) / σ = (37 - 70) / 12 ≈ -2.75

z2 = (85 - μ) / σ = (85 - 70) / 12 ≈ 1.25

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with the z-scores.

Using a standard normal distribution table, we find:

P(Z < -2.75) ≈ 0.0028 (probability corresponding to z1)

P(Z < 1.25) ≈ 0.8944 (probability corresponding to z2)

To find the probability of the interval (37 < X < 85), we subtract the probability associated with the lower value from the probability associated with the upper value:

P(37 < X < 85) = P(-2.75 < Z < 1.25) = P(Z < 1.25) - P(Z < -2.75) ≈ 0.8944 - 0.0028 ≈ 0.8916

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We will solve a follows:

***Explanation of the procedure using change of base for a logarithm***

So:

The partial derivatives of the function f(x, y, z) = z^y/x at specific points are as follows: (a) f_x(3, 4, 2) = -32/27, (b) f_y(4, 4, 4) = (4ln4)/4, and (c) f_z(2, 3, 3) = 3^(3/2)/2.

To find the partial derivatives of the function f(x, y, z) = z^y/x, we differentiate the function with respect to the respective variables while treating the other variables as constants.

(a) f_x denotes the partial derivative with respect to x. Differentiating f(x, y, z) with respect to x:

f_x = -z^y/x^2

Substituting the given values (x = 3, y = 4, z = 2):

f_x(3, 4, 2) = -(2^4)/(3^2) = -32/27.

(b) f_y denotes the partial derivative with respect to y. Differentiating f(x, y, z) with respect to y:

f_y = z^y * ln(z)/x

Substituting the given values (x = 4, y = 4, z = 4):

f_y(4, 4, 4) = (4^4 * ln(4))/4 = (256 * ln(4))/4 = (4ln4)/4.

(c) f_z denotes the partial derivative with respect to z. Differentiating f(x, y, z) with respect to z:

f_z = y * z^(y-1)/x

Substituting the given values (x = 2, y = 3, z = 3):

f_z(2, 3, 3) = 3 * 3^(3-1)/2 = 3 * 3^2/2 = 3^(3/2)/2.

Therefore, the values of the partial derivatives are as follows: (a) f_x(3, 4, 2) = -32/27, (b) f_y(4, 4, 4) = (4ln4)/4, and (c) f_z(2, 3, 3) = 3^(3/2)/2.

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The probability that the distance is at most 100m is 0.749926 and at most 200 m is 0.9375 between 100 and 200 m is 0.1876 and the probability that distance exceeds the mean distance by more than 2 standard deviations is 0.04979

What is Probability ?

probability can be defined as the ratio of the number of favourable outcomes and the total number of outcomes.

We are given with an exponential distribution with

λ=0.01386.

The probability distribution function is:

F(x)=λ * e power (−λx)

Cumulative distribution function is

F(x) = 1- e power (−λx)

The mean of the exponential distribution function

E(X) = 1 / λ

= 1/0.01386

= 72.15

Hence, E(X) = 72.15

The variance of the exponential distribution function

V(X) = 1 / λ ^{2}

= 1/0.01386*0.01386

= 5205.63

V(X) = 5205.63

Probability that the distance is at most 100m

P(X <= 100 ) = F (100)

= 1- e power (−λx)

= 1 - e power (-0.01386*100)

= 1- e power (-1.386)

= 1-0.25007

= 0.749926

Therefore, P(X<=100) = 0.749926

probability that the distance is at most 200m

P ( X<= 200) = F(200)

=1-e power (−λx)

=1-e power (-0.01386*200)

= 1 - e power (-2.772)

= 1-0.06253

= 0.9375

P(X<= 200) = 0.9375

Probability that the distance is between 100 and 200m

P(100<= X <= 200) = F(200) - F(100)

= 0.9375-0.7499

=01876

P(100 <= X <= 200) = 0.1876

Probability that the distance exceeds the mean distance by more than 2 standard deviation.

P( X + P>μ+2σ) = P(X>72.15+2√5205.63)

= P(X > 72.15 +144.3)

P(X>216.45)

= 1-P(X<= 216.45)

1 - (1- e power (-0.01386*216.45)

=  e power (-2.9999)

= 0.04979

P( X + P>μ+2σ) = 0.04979

Hence , The probability that the distance is at most 100m is 0.749926 and at most 200 m is 0.9375 between 100 and 200 m is 0.1876 and the probability that distance exceeds the mean distance by more than 2 standard deviations is 0.04979

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Answer:

The order in which you evaluated the expression was a bit incorrect but the outcome either way was 78. In some cases if you evaluate the expression incorrectly or not in order will result in you getting the wrong answer. If you want to see how to evaluate it correctly just look below.

Step-by-step explanation:

PEMDAS stands for

Parenthesis

Exponents

Multiplication and Division ( left to right )

Addition and Subtraction ( left to right )

And it basically tells us the order in which you are suppose to evaluate a mathematical expression.

It appears the expression you are given is 4² + ( 1 × 5 + 7² ) + 8

First we would do the operation inside of the parenthesis

so we have ( 1 × 5 + 7² )

Exponents come before multiplying and addition so first evaluate the exponent, 7² = 49

we now have ( 1 × 5 + 49 )

we next do the multiplication

( 5 + 49 )

Finally we do the addition

5 + 49 = 54.

We then replace the expression ( 1 × 5 + 7² )  with 54 as we just evaluated everything in the parenthesis

we get 4² + 54 + 8

So we just did the parenthesis and next is exponents so lets evaluate the exponents, 4² = 16

16 + 54 + 8

Next in PEMDAS is multiplication and division. There is none so we go to the next step.

We now do the addition and subtraction. ( going left to right )

16 + 54 + 8

first add 16 and 54

70 + 8

finally add 70 and 8

= 78

Notes:

For parenthesis you evaluate everything inside of the parenthesis before you remove the parenthesis

For multiplcation and division, you must evaluate in order going left to right, not doing so can result in a wrong answer.

Step-by-step explanation:

(5.8 x 10⁴) + (7.17 × 10^6) =

(5.8 × 10⁴) + ( 717 × 10⁴)

= (5.8 +717) × 10⁴

= 722.8 × 10⁴

= 7.228 × 10^6

Answer:

the answer is 3

Step-by-step explanation:

i just did this in school

These x + y <= $900 or x + 0.65x <= $900  inequalities represent all possible combinations of x.

What is the inequalities equation?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

We have,

tickets for the floor seats cost $55 each.

ticket prices for the balcony are 65% of the cost of tickets for the floor seats.

The number of tickets for the balcony = y = 0.65x.

the number of tickets for the floor seats = x,

and the number of tickets for the balcony = y

no one can purchase for more than $900.

x + y <= $900 or

x + 0.65x <= $900

Hence, these x + y <= $900 or x + 0.65x <= $900  inequalities represents all possible combinations of x.

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The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.

The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.

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The first quantity as a fraction of the second quantity 5 days ; 1 non-leap =  \(\frac{1}{73}\)

The first quantity as a fraction of the second quantity 42 minutes ; 2 hours  = \(\frac{7}{20}\)

Fraction:

                A numerical quantity which is not a whole number is called fraction.

   Example :     1/2  ,  3/5

Now,

a. The first quantity as a fraction of the second quantity 5 days ; 1 non-leap

       we know,

                        1 non-leap year =  365 days

Required fraction will be

                                   =  \(\frac{5 days}{365 days}\)

                                  =  \(\frac{1}{73}\)

A fraction of the second quantity 5 days ; 1 non-leap =  \(\frac{1}{73}\)

b. The first quantity as a fraction of the second quantity 42 minutes ; 2 hours

                             we know,

                                             1 hour    = 60 minutes

                                              2 hours  = 60 x 2 minutes

                                                             = 120 minutes

Required fraction will be

                                =  \(\frac{42 minutes}{120minutes}\)

                                = \(\frac{7}{20}\)

The first quantity as a fraction of the second quantity 42 minutes ; 2 hours  = \(\frac{7}{20}\)

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Answer:

No, the pair is not a solution to the equation.

Step-by-step explanation:

For the pair to be a solution to the equation, x = -2 must lead to y = 8, o =r vice versa. This leads to being able to solve it two ways either through x or through y.

I'll solve it through x:

y = -2x - 1

with x = -2

y = -2 * - 2 - 1

y = 4 - 1

y = 3

Since y = 3, when x = -2 the pair (-2,8) is not a pair to the solution of the equation.

PS: You can double check by solving through y and you'll find x = -4.5

Answer:

Step-by-step explanation:

The area of a rectangle is expressed as A = Length * Width

Given the length of the rectangle = 4.4 cm

Width of the rectangle = 3.1 cm

Area of the triangle = 4.4 cm * 3.1 cm

Area of the triangle =13.64cm²

The full precision answer is 13.64cm²

Rounding the value up to the nearest cm² will give 14cm². Note that the value is rounded up to 14cm² because the first value (6) after the decimal point is greater than 4, hence 13 will be approximated to 14.

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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Answer:

10th term is the answer

Step-by-step explanation:

33-8= 25

25-8= 17

17-8= 9

9-8= 1

1-8= -7

-7-8= -15

-15-8= -23

-23-8= -31

-31-8 = -39

System of Equations

Given the system of equations:

x + z = 6

2x + 4z = 1

To solve the system by the elimination method, we must make the coefficients of one variable opposite.

It's required to eliminate the z-term which means we must make the coefficients of z opposite on both equations.

The coefficient of z is 4 in the second equation, so to eliminate the variable, we must multiply the first equation by -4 as follows:

-4x - 4z = -24

Now when we add both equations, the z is eliminated.

Answer: Multiply equation A by −4.

The area of the circle is 30.2 square feet. Then the correct option is B.

Given that:

Diameter, d = 6.2 feet

Let r be the radius of the circle. Then the area of the circle will be given as,

A = πr² square units

The radius of the circle is given as,

r = d / 2

r = 6.2 / 2

r = 3.1 feet

The area of the circle is calculated as,

A = 3.14 x (3.1)²

A = 3.14 x 9.61

A = 30.1754

A ≈ 30.2 square feet

Thus, the correct option is B.

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Answer:

4. supplementary

5. complementary

Step-by-step explanation:

4 is supplementary because the sum of the two angles is 180°.

5 is complementary because the sum of the two angles is 90°.

Answer:

4. Supplementary

Supplementary angles sum up to 180 degrees.

105 degrees + 75 degrees = 180 degrees

5. Complementary

Complementary angles sum up to 90 degrees.

30 degrees + 60 degrees = 90 degrees

Hope this helps, thank you !!

Step-by-step explanation:

G = (z-s) ÷ r

G × r = (z- s)

Gr + s = z

answer:

10 times 6 is 60 plus 5 is 65 carry the 5 you've got

1995

+

565

=

2560

step-by-step explanation:

and that's on periodt

Given:

The two sides of a triangle are 2 and 6.

To find:

The side length that would NOT work to make a triangle with the two slide lengths of 2 and 6.

Solution:

For a triangle, the sum of two smaller sides must be greater than the largest side.

Let x be the third side.

Case 1: x is the largest side, then

\(2+6>x\)

\(8>x\)              ...(i)

Case 2: x is not the largest side, then

\(2+x>6\)

\(x>6-2\)

\(x>4\)              ...(ii)

From (i) and (ii), we get

\(4<x<8\)

Here, 4 and 8 are not included.

6, 5, 7 are included in the above interval, but 4 is not included in the above interval. It means 4 would NOT work to make a triangle with the two slide lengths of 2 and 6.

Therefore, the correct option is D.

To find your target heart rate, multiply the percentage of how hard you want to work by your Maximum heart rate and then add your Resting heart rate

To find your target heart rate, you will need to calculate your maximum heart rate and resting heart rate. Maximum heart rate is calculated by subtracting your age from 220. Resting heart rate is your heart rate when you are completely at rest. Once those two values are calculated, you can use the following formula to find your target heart rate:

Target Heart Rate = [(Percentage of How Hard You Want to Work X Maximum Heart Rate) - (Maximum Heart Rate - Resting Heart Rate)] + Resting Heart Rate

For example, if you are 35 years old, your maximum heart rate is 220 - 35 = 185. If your resting heart rate is 60, you can use the following formula to find your target heart rate if you want to work at 70% of your maximum heart rate:

Target Heart Rate = [(0.7 X 185) - (185 - 60)] + 60

Target Heart Rate = 153 bpm

In summary, to find your target heart rate, you will need to calculate your maximum heart rate and resting heart rate and then use the above formula to determine your target heart rate. Knowing your target heart rate will help you monitor your exercise intensity and ensure that you are working out at the appropriate level for your fitness goals.

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Answer:

The surface area equals 45.

Answer:

17 1/

Step-by-step explanation:

first you have to find a common denominator, so you multiply 1/8 by 3 and get 3/24. then you add the two numbers getting 17 8/24 but you have to simplify it so it's 17 1/

Answer:

Step-by-step explanation:

Reading the box and whisker plot for Brand X, we identify that:

25% of batteries lasted for 10 - 14 hours and the rest lasted longer than 14 hours.

It means the number of batteries lasted more than 14 hours is:

a. Calculate the expected arrival time:

Given: Time range for arrival of elevator during the next 4.7 minutes is equally likely. The expected value of a discrete random variable is calculated by multiplying each possible value by its probability and adding up the products. So, we can calculate the expected value of the elevator arrival time by integrating the value of the probability density function (which is a straight line in this case) over the given interval. The area under the curve of the probability density function over the entire interval of possible values is 1. The expected arrival time (E) of the elevator is given by: E = (1/4.7) ∫(0 to 4.7) tdt= (1/4.7) [t²/2] [from 0 to 4.7]= 2.3596 minutes or 2.36 minutes (rounded to 2 decimal places)Therefore, the expected arrival time is 2.36 minutes.

b. Probability that an elevator arrives in less than 1.8 minutes:

To calculate the probability of an event happening, we need to find the area under the probability density function (pdf) over the given interval (in this case, less than 1.8 minutes). The pdf is a straight line with a slope of 1/4.7, so the equation of the line is: f(t) = (1/4.7) t. The probability of the elevator arriving in less than 1.8 minutes is: P(T < 1.8) = ∫(0 to 1.8) f(t) dt= ∫(0 to 1.8) (1/4.7) t dt= (1/4.7) [t²/2] [from 0 to 1.8]= 0.56765 (rounded to 4 decimal places)Therefore, the probability that an elevator arrives in less than 1.8 minutes is 0.568 (rounded to 3 decimal places).

c. Probability that the wait for an elevator is more than 1.8 minutes: The probability that the wait for an elevator is more than 1.8 minutes is the complement of the probability that it arrives in less than 1.8 minutes. P(T > 1.8) = 1 - P(T < 1.8) = 1 - 0.56765= 0.43235 (rounded to 3 decimal places)Therefore, the probability that the wait for an elevator is more than 1.8 minutes is 0.432 (rounded to 3 decimal places).

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The equation of g(x) after the translation up is g(x) = 4x² - 10

The given parameter represents the function f(x) in the question.

This function is given as

f(x) = 4x² - 13

The translation is given as

3 units up.

i.e. a translation up by 3 units

Mathematically, this can be represented as

(x, y) = (x, y + 3)

So, we have

g(x) = f(x) + 3

Substitute the known values in the above equation, so, we have the following representation

g(x) = 4x² - 13 + 3

Evaluate the like terms

g(x) = 4x² - 10

Hence, the equation of g(x) is g(x) = 4x² - 10

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Answer:

16 unidades preparan simultáneamente 1200 empanadas por día.

Step-by-step explanation:

Si cada fuente tiene una capacidad de 75 empanadas por horneada y que la mayor cantidad posible ocurre cuando el volumen de producción se cocina simultáneamente, entonces el total de fuentes es la cantidad total de producción dividida por la capacidad de empanadas por fuente. Es decir:

\(x = \frac{1200\,emp}{75\,\frac{emp}{und} }\)

\(x = 16\,unidades\)

16 unidades preparan simultáneamente 1200 empanadas por día.