Scale Drawings question

True, all three parts of a whole, parts of a set, and division meanings of fractions involve the idea of partitioning.

Partitioning is a method of splitting numbers into smaller parts to make work easy. An example of Partitioning is when the child is taught to recognize that the number 54 represents 5 tens and 4 ones, which shows how the number can be partitioned into 50 and 4.

A fraction is defined as a part of the whole thing in mathematics, for example, when we say "1/2 of the pizza", we are partitioning the whole pizza into two equal parts and taking one of those parts. Types of Fractions are Proper Fractions, Improper Fractions, Mixed fractions, Like fractions, Unlike fractions, and Equivalent fractions

To learn more about Fractions:

https://brainly.com/question/78672

#SPJ4

The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)

In this question we find the locations of the three vertices of the triangle, each of which has to be transformed by using a non-rigid transformation rule, that is, a transformation rule that does not conserve the original form of the triangle. We are asked to determine the possible coordinates associated with the triangle A'B'C.

If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the coordinates of the vertices of the triangle A'B'C' are:

A'(x, y) = (2 · 7, 6 - 3)

A'(x, y) = (14, 3)

B'(x, y) = (2 · (- 3), 5 - 3)

B'(x, y) = (- 6, 2)

C'(x, y) = (2 · (- 4), 9 - 3)

C'(x, y) = (- 8, 6)

The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)

To learn more on non-rigid transformations: https://brainly.com/question/1447109

#SPJ1

When human body cells are exposed to hypertonic, isotonic, and hypotonic solutions, different consequences occur. Hypertonic solutions can cause cells to shrink or undergo plasmolysis, isotonic solutions maintain cell stability, and hypotonic solutions can cause cells to swell and potentially burst. Among these options, isotonic solutions are the best for the cells' overall well-being and function.

Hypertonic solutions have a higher solute concentration compared to the cell's cytoplasm. As a result, water moves out of the cell, leading to cell shrinkage or plasmolysis. This can disrupt cellular functions and may eventually lead to cell death if not corrected. Isotonic solutions have the same solute concentration as the cell's cytoplasm. In such a solution, there is no net movement of water across the cell membrane, and the cell remains stable. Isotonic solutions provide an ideal environment for cell functioning and maintain the cell's normal shape and volume.

Hypotonic solutions have a lower solute concentration than the cell's cytoplasm. Water moves into the cell, causing it to swell and potentially burst. This process is called cytolysis and can be detrimental to cell integrity and function. Considering these consequences, the best option for human body cells is an isotonic solution. Isotonic solutions maintain the stability and normal functioning of cells without causing them to shrink or swell. By maintaining an isotonic environment, cells can carry out their physiological processes effectively, including nutrient uptake, waste removal, and proper cell communication.

learn more about Hypertonic solutions here:

https://brainly.com/question/30767418

#SPJ11

I believe the answer is football.

Answer:

1,227

Step-by-step explanation:

3,000 divided by 3 is 1,000

600 divided by 3 is 200

80 divided by 3 is 26 r2

1 + r2 =3

and 3 divided by 3 is 1

1,000 + 200 + 26 + 1 = 1,227

Answer:

21

Step-by-step explanation:

Answer:

411

Step-by-step explanation:

The population density of Singapore in residents per square kilometer is 8266.12 per square kilometer

What is Population Density ?

The given parameters are

Number of people = 21400 residents

Area = 1 mi²

Convert the square mile to square kilometer

1 x 1.609² = 2.588881 Km²

Population density = Number of residents ÷ area

Population density = 21400 ÷ 2.588881

Population density = 8266.12 per square kilometer

Therefore, the population density of Singapore in residents per square kilometer is 8266.12 per square kilometer

Learn more about Population Density

brainly.com/question/1581160

#SPJ4

The answer is 231 inches.

To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.

Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.

Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.

Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.

To learn more about measurement click here:

brainly.com/question/2107310

#SPJ11

a. The probability of exactly two thefts occurring in a minute is approximately 0.139.

b. The probability of no thefts occurring in a minute is approximately 0.026.

c. The probability of three or fewer thefts occurring in a minute is approximately 0.398.

a. The probability of exactly two thefts occurring in a minute can be calculated using the Poisson probability distribution. With an average rate of 3.6 thefts per minute, the probability is given by:

P(X = 2) = (e^(-λ) * λ^2) / 2!

where λ is the average rate of thefts per minute.

Plugging in the values, we have:

P(X = 2) = (e^(-3.6) * 3.6^2) / 2! ≈ 0.139

Therefore, the probability of exactly two thefts occurring in a minute is approximately 0.139.

b. The probability of no thefts occurring in a minute can be calculated using the Poisson probability distribution as well. The formula is:

P(X = 0) = e^(-λ)

Substituting the average rate of thefts per minute

P(X = 0) = e^(-3.6) ≈ 0.026

Thus, the probability of no thefts occurring in a minute is approximately 0.026.

c. The probability of three or fewer thefts occurring in a minute can be calculated by summing the probabilities of having 0, 1, 2, and 3 thefts. Using the Poisson probability distribution, we can calculate each individual probability and sum them up:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Substituting the values, we get:

P(X ≤ 3) ≈ 0.026 + 0.094 + 0.139 + P(X = 3)

We can calculate P(X = 3) using the Poisson formula as before:

P(X = 3) = (e^(-3.6) * 3.6^3) / 3!

Substituting the value:

P(X = 3) ≈ 0.139

Therefore:

P(X ≤ 3) ≈ 0.026 + 0.094 + 0.139 + 0.139 ≈ 0.398

Hence, the probability of three or fewer thefts occurring in a minute is approximately 0.398.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Total number of employee working for four hours per shift for the manager is 2 people.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.

The probability of failure of an event is equal to the difference of the 1 to the success of the event.

Here, the manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution below.

Probability Distribution

Hours Worked: X     Probability: P(X)

           3                         0.1

           4                           ?

           5                        0.14

           6                         0.3

           7                        0.36

           8                       0.06

As, the probability of an event can not be more than the number 1. Thus, the sum of all the probabilities will be equal to 1.

Let suppose the probability of people working for four hour is x. Therefore,

\(0.1+x+0.14+0.3+0.36+0.06=1\\x+0.96=1\\x=1-0.96\\x=0.04\)

Now, the total number of people work for the manager is 50. Therefore, total number of people working for 4 hours are,

\(0.04\times50=2\)

Hence, total number of employee working for four hours per shift for the manager is 2 people.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

2^5 and 3^4

Step-by-step explanation:

you can see there are 5 2's and 4 3's. so it would be 2^5 and 3^4

Answer:

BCDE is inscribed quadrilateral. the opposite angles of a quadrilateral add up to 180°

<E = 84-180= 96°

ans is 96°

Answer:

the answer is A. 96° I just took the test

Step-by-step explanation:

You have to factor the following function

The coefficients of the function are:

a=-1

b=-3

c=10

Using the quadratic formula you have to calculate the roots of the function

Replace the formula with the values of the coefficients of the function

Positive calculation:

Negative calculation

The roots of the function are x=-5 and x=2

The factorized function is

Note that the roots have to have the inverse sign when you write the factorized function.

The final step is to multiply the function by -1, to make it point downwards just like the original one.

80.64% probability that a component is at least 10 centimeters long.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean  and standard deviation , the z-score of a measure X is given by:

Z = x - μ / σ

Z-scores are used to measure how far a measure is from the mean. We find the p-value associated with this Z-score by looking at the z-score table after finding the Z-score. The p-value represents the probability that the measure is smaller than X, which is the percentile of X. The probability of the measure being greater than X is calculated by subtracting 1 from the pvalue.

μ = 14

Variance is 9.

The standard deviation is the square root of the variance.

So,

σ = √9 = 3

This is the pvalue of Z when X = 10

z = 10 - 14/3

z = -1.3

z = -1.3 has a p value of0.1936

1-0.1936 = 0.8064

80.64% probability that a component is at least 10 centimeters long.

To Learn more about similar probability questions:

https://brainly.com/question/14804178

#SPJ4

Answer:

0.7475

Step-by-step explanation:

The mean is μ=14, and the standard deviation is σ=9‾√=3.Open Excel.  Click on an empty cell.  Type =NORMDIST(12,14,3,1) and press ENTER.The probability, rounded to four decimal places, is P(X<12)≈0.2525.The desired probability is P(X≥12), so subtract from 1 to get P(X≥12)=1−0.2525=0.7475

Answer:

Kelvin will save (1/2) × $1,842 = $921.

We know that the volume of a cube is given by V = s^3, where s is the length of a side. Taking the derivative of both sides with respect to time, we get:

dV/dt = 3s^2 ds/dt

We are given that dV/dt = 77 cubic feet per second and V = 8 cubic feet. Therefore,

77 = 3s^2 ds/dt
ds/dt = 77/(3s^2)

We also know that the surface area of a cube is given by A = 6s^2. Taking the derivative of both sides with respect to time, we get:

dA/dt = 12s ds/dt

Substituting ds/dt from above, we get:

dA/dt = 12s (77/(3s^2))
dA/dt = 308/s

At the instant when the volume of the cube is 8 cubic feet, s = (8)^(1/3) = 2, since s is the length of a side. Therefore,

dA/dt = 308/2 = 154

So the rate of change of the surface area of the cube is 154 square feet per second.
To solve this problem, we will use the given information about the rate of change of volume and relate it to the rate of change of surface area. First, let's express the volume (V) and surface area (A) of a cube in terms of its side length (s):

1. Volume of a cube: V = s³
2. Surface area of a cube: A = 6s²

Now, differentiate both equations with respect to time (t):

1. dV/dt = 3s² ds/dt
2. dA/dt = 12s ds/dt

We are given that dV/dt = 77 cubic feet per second. We need to find dA/dt when the volume is 8 cubic feet.

From the volume equation (V = s³), we can find the side length (s) when the volume is 8 cubic feet:

8 = s³
s = 2 feet (since 2³ = 8)

Now, we can find ds/dt by plugging in the values for s and dV/dt into the first differentiated equation:

77 = 3(2²) ds/dt
77 = 12 ds/dt
ds/dt = 77/12 feet per second

Now that we have ds/dt, we can find dA/dt by plugging in the values for s and ds/dt into the second differentiated equation:

dA/dt = 12(2)(77/12)
dA/dt = 24(77/12)
dA/dt = 154 square feet per second

So, the rate of change of the surface area of the cube is approximately 154 square feet per second when the volume is 8 cubic feet.

Learn more about the surface area here:- brainly.com/question/29298005.

#SPJ11

Answer:

(2,7)

Step-by-step explanation:

Just the first one, right? COmment for more.

If x varies directly with the square of y​ and inversely with the cube root of z​, the value of x when y = 1 and z = 27 is x = 1.

Given that,

x varies directly with the square of y​ and inversely with the cube root of z.

For some constant k,

x = k y²/ ∛z

Also, we have, x=24​ when y=4​ and z=8.

24 = k (4)²/ ∛(8)

24 = 16 k / 2

24 = 8k

k = 3

So the equation is,

x = 3y²/ ∛z

When y = 1 and z = 27,

x = 3 (1)²/ ∛(27)

x = 3 / 3

x = 1

Hence the value of x = 1.

Learn more about Direct and Inverse Variation here :

https://brainly.com/question/31742414

#SPJ1

When an array is created using the following statement, the element values are automatically initialized to 0. The statement is: `[][] matrix = new int[5][5];`. Arrays are objects in Java programming that store a collection of data.

It is a collection of variables of the same data type. Each variable is known as an element of the array. In Java, an array can store both primitive and reference types.The elements of an array can be accessed using an index or subscript that starts from 0.

The index specifies the position of an element in the array. For example, the first element of an array has an index of 0, the second element has an index of 1, and so on. In multidimensional arrays, each element is identified by a set of indices that correspond to its position in the array.

For example, the element at row i and column j of a 2D array can be accessed using the expression `array[i][j]`.When an array is created using the `new` operator, memory is allocated for the array on the heap.

The elements of the array are initialized to default values based on their data type. For numeric data types such as `int`, `float`, `double`, etc., the default value is 0. For boolean data types, the default value is `false`, and for reference types, the default value is `null`.

To know more about statement visit:

https://brainly.com/question/17238106

#SPJ11

The sample size should be 39 to estimate the mean fuel efficiency of Ford Focus automobiles.

Sample size refers to the number of observations or units selected from a population to estimate the characteristics of that population.

In statistics, the sample size is a crucial factor in determining the accuracy and reliability of statistical conclusions drawn from the sample.

To estimate the mean fuel efficiency of Ford Focus automobiles with 99% confidence and a margin of error of no more than 1 mile per gallon, you can use the formula:

n = (z^2 * s^2) / E^2

where:

z = the z-score representing the desired confidence level (2.576 for 99%)

s = the estimated standard deviation (2.4)

E = the desired margin of error (1)

Substituting the values, we get:

n = (2.576^2 * 2.4^2) / 1^2

n = (6.634 * 5.76) / 1

n = 38.37

Therefore, On rounding up to the nearest whole number, you would need a sample size of at least 39 cars.

To know more about sample size refer to:

brainly.com/question/25894237

#SPJ4

Answer:

$76.49 So, the discounted price of the CD player is $76.49.

Step-by-step explanation:

Answer:

a=6 b=2

Step-by-step explanation:

2(x + 16) + 4(x - 5) = 2x +32 + 4x -20

6x +12 = 6(x+2)

Answer:

Step-by-step explanation:

3 = 1(1 + x)^4

let q = 1 + x

3 = q^4

ln(3)  = 4  ln(q)

ln(3)/4 = ln(q)

.274 = ln(q)

q = e^.274 = 1.316

x = .316

Future amount = 48(1+.316)^4

Future amount = 143.96

The partial derivatives of the function F(r, s, t) = r(9s^6 - 9t^6) can be computed as follows:

The partial derivatives of F(r, s, t) are computed by treating the other variables as constants and differentiating the function with respect to the variable of interest. The derivative with respect to r yields a coefficient of (9s^6 - 9t^6), while the derivatives with respect to s and t involve the terms 54rs^5 and -54rt^5, respectively.

Learn more about Constants :

https://brainly.com/question/32580390

#SPJ11

The mean, standard deviation, of the average number of moths in 30 traps is approximately 0.5 ± 0.018 and is approximately 0.5 respectively. The probability that the average number of moths in 30 traps is greater than 0.4 is approximately 0.965 ± 0.01.

The mean of the average number of moths in 30 traps can be calculated as the mean of a sample of 30 trap counts, where the mean of each sample follows a normal distribution with mean 0.5 and standard deviation 0.5/sqrt(30) (using the standard error of the mean formula). Therefore, the mean of the average number of moths in 30 traps is:

mean = 0.5 ± 0.1/sqrt(30) = 0.5 ± 0.018

So the mean of the average number of moths in 30 traps is approximately 0.5 ± 0.018.

The standard deviation of the average number of moths in 30 traps can also be calculated using the standard error of the mean formula:

standard deviation = standard error of the mean * sqrt(sample size)

standard deviation = 0.5/sqrt(30) * sqrt(30) = 0.5

So the standard deviation of the average number of moths in 30 traps is approximately 0.5.

Using the central limit theorem, we can assume that the sample mean of the 30 traps follows a normal distribution with mean 0.5 and standard deviation 0.5/sqrt(30). We want to find the probability that the average number of moths in 30 traps is greater than 0.4.

To do this, we can standardize the sample mean using the formula:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

z = (0.4 - 0.5) / (0.5/sqrt(30)) = -1.8257

Using a standard normal distribution table or calculator, we can find the probability that Z is greater than -1.8257, which is approximately 0.965. Therefore, the probability that the average number of moths in 30 traps is greater than 0.4 is approximately 0.965 ± 0.01.

To know more about Mean:

https://brainly.com/question/19868423

#SPJ4

Answer:

Goku died you I just started watching