12. Triangle ABC is shown on the coordinate plane. If it is translated 4 units to the left and 3
units up, what are the coordinates of the vertices of the image?


A. A (1.1), B'(6,0), C (1.4)
B. A'(-1,1), B'(0,6), C (-4,-1)
C. A' (1.-1), B'(6,0). C'(-4,1)
D. A'(-1,-1), B'(0.6), C'(4-1)

True, in a cohort study, when a person who is being followed withdraws from the study, we would say that they are censored at that time point.

A cohort study is a type of observational study in which a group of individuals (the cohort) are followed over time to investigate the occurrence of certain health outcomes. The cohort is selected based on a shared characteristic or exposure, such as age, occupation, or lifestyle factors.

Cohort studies can be prospective (following individuals forward in time from exposure to outcome) or retrospective (using historical data to follow individuals back in time from outcome to exposure).

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Answer:

8

Step-by-step explanation:

78 - 6 = 72 (Since the number falls short by six)

72 ÷ 9 = 8 (Number times 9 that equals 72)

Answer:

the answer is 4 meters because its equal to the other side

Answer:

They are both correct. Candace must use a pair of additive inverses.

Step-by-step explanation:

Sean is correct. Zero is the "additive identity." That means when you add zero to any number, that number keeps its identity, meaning it remains the same. Adding zero to any number does not change the number.

For example:

5 + 0 = 5

-10 + 0 = -10

2.89 + 0 = 2.89

Candace is also correct. She can add two numbers to -100 and still have -100. the way to do it is that the numbers that she adds to -100 must be opposites, or additive inverses. Additive inverses, also called opposites, are two numbers whose sum is zero.

For example:

-5 and 5

-22 and 22

Each pair of numbers above is a pair of additive inverses since their sum is zero.

If Candace adds two numbers to -100, and the numbers are a pair of additive inverses, then she is adding zero to the -100, so the result is still -100.

Answer: They are both correct. Candace must use a pair of additive inverses.

Answer: 12.4 inches

Step-by-step explanation:

\(c^{2}=a^{2} + b^{2} \\c^{2}=8^{2} + 10^{2}\\\sqrt{c^{2}=164\\\)

c=12.8, c=-12.8

It can not be -12.8 as there's no such thing as a negative length. Therefore the diagonal length of the photo frame is 12.8 inches

The value of x in the equation is, x = 2.85 or x = -0.35

Given,

The equation;  2 x squared minus 5 x + 1 = 3.

That is,

2x² - 5x + 1 = 3

We have to solve for x.

Here,

2x² - 5x + 1 - 3 = 0

2x² - 5x  - 2 = 0

This is a quadratic equation;

Lets solve using quadratic formula; \(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\)

Here,

a = 2, b = -5 and c = -2

Now,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{5[+-]\sqrt{-5^{2}-4 . 2.-2 } }{2.2}\)  = \(\frac{5[+-]\sqrt{25 + 16} }{4}\) = [5±√41] / 4

Solve for,

5 + √41 / 4 = 2.85

Solve for,

5 - √41 / 4 = -0.35

That is,

The value of x in the equation is, x = 2.85 or x = -0.35

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Solving problems involving normal proportions requires careful attention to detail, as well as a good understanding of statistical concepts such as standardization and probability.

When solving a problem where you want to find normal proportions, you can follow the following steps:

Define the problem: Clearly define the problem you are trying to solve, including any relevant details such as the population, sample size, and the variable of interest.

Check assumptions: Check if the conditions for using normal distributions are met. The data should be continuous, the sample size should be large enough, and the distribution should be approximately normal.

Calculate the sample mean and standard deviation: If you are working with a sample, calculate the sample mean and standard deviation.

Standardize the data: Convert the data into standard normal distribution, by subtracting the mean from each observation and dividing by the standard deviation.

Determine the probability: Once the data has been standardized, you can use a standard normal distribution table or a calculator to determine the probability of the variable falling within a certain range or above/below a certain value.

Interpret the results: After determining the probability, interpret the results in the context of the problem. For example, you might conclude that there is a 95% chance that a randomly selected observation falls within a certain range, or that the variable of interest is higher than a certain value in 5% of cases.

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The expression of the equation will be:

x² - 8x = x(x - 8)

x² - 10x = x(x - 10)

x² - 5x = x(x - 5)

x² - 3x = x(x - 3)

It should be noted that an equation simply means the expression of the variables that are given.

In this case, the following can be represented:

x² - 8x = x(x - 8)

x² - 10x = x(x - 10)

x² - 5x = x(x - 5)

x² - 3x = x(x - 3)

This is illustrated above.

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Answer:

Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M’ (k, -h).

The width of the rectangle is twice the length of the rectangle

The given parameters are:

Width = 4 cm

Length = 2 cm

Express 4 cm as 2 * 2 cm

Width = 2 * 2 cm

Substitute Length = 2 cm in Width = 2 * 2 cm

Width = 2 * Length

This means that the width of the rectangle is twice the length of the rectangle

Hence, the true statement is that the width of the rectangle is twice the length of the rectangle

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The patient is recieving nearly 35.5 miligrams of the drugs for  per kilogram per 24 hours.

First, we need to convert the child's weight from pounds to kilograms:

99 lbs / 2.205 = 44.9 kg

Next, we calculate the recommended dose for this weight:

40 mg/kg/24h x 44.9 kg = 1796 mg/24h

Since the recommended dose is divided into four equal doses, each dose should be:

1796 mg/24h ÷ 4 doses = 449 mg/dose

However, the physician ordered 400 mg every 6 hours, which is not the same as 449 mg every 6 hours. To calculate the actual dose per kilogram per 24 hours, we need to convert the ordered dose to the recommended dose:

400 mg/dose x 4 doses = 1600 mg/24h

Then, we divide the actual dose by the child's weight in kilograms:

1600 mg/24h ÷ 44.9 kg = 35.6 mg/kg/24h

Therefore, the patient is receiving 35.6 mg/kg/24h, which is slightly lower than the recommended dose of 40 mg/kg/24h.

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Answer:

6x²(2x + 1)

Step-by-step explanation:

12x³ + 6x² ← factor out 6x² from each term

= 6x²(2x + 1)

Answer:

4 per week, 4weeks per month(8weeks)

4*8=32

Answer:

32 dances

Step-by-step explanation:

4 weeks in a month, 4 dances a week equals 16

16 time 2 equals 32

The best way to examine an association claim between a categorical variable and a quantitative variable is a scatterplot.

A scatterplot is a graph format that displays individual data points as dots on a Cartesian plane. It is the most suitable choice for examining the association claim between a categorical variable and a quantitative variable.

A scatterplot allows us to visually observe the relationship between the two variables by plotting the data points on the graph. The categorical variable is represented on one axis, while the quantitative variable is represented on the other axis. Each dot on the scatterplot represents an observation or data point.

By examining the distribution of the dots on the scatterplot, we can identify patterns, trends, and any potential association between the categorical and quantitative variables. This helps us understand the relationship, including its direction and strength.

On the other hand, a bar graph is typically used to compare categorical data by displaying the frequencies or percentages of different categories. It is not ideal for examining the association between a categorical variable and a quantitative variable.

Similarly, a pie chart is useful for displaying proportions or percentages of different categories within a whole but does not effectively represent the relationship between a categorical variable and a quantitative variable.

A line graph is commonly used to show trends over time or continuous data. While it can represent a quantitative variable, it may not be the best choice for examining the association claim with a categorical variable.

In summary, a scatterplot is the most appropriate graph format for examining the association claim between a categorical variable and a quantitative variable as it allows for the visual analysis of individual data points and their relationship.

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The statement "All seasons had the same level of variability in game scores" must be false.

To determine which statement must be true based on the mean game scores and standard deviations of four seasons of a football team, we need to analyze the data provided.

Given:

Season 2005: Mean = 193.5, Standard Deviation = 0

Season 2006: Mean = 212.8, Standard Deviation = 0

Season 2007: Mean = 121.0, Standard Deviation = 0

Season 2008: Mean = 94.0, Standard Deviation = 0

From the given data, we observe that all the standard deviations are zero. This indicates that there is no variation or spread in the game scores within each season. However, it is highly unlikely for a football team to have zero variation in game scores across multiple seasons.

Therefore, the statement "All seasons had the same level of variability in game scores" must be false.

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The t-statistic for the coefficient on z cannot be determined without additional information. We need the standard error of the coefficient on z to calculate the t-statistic.

To calculate the t-statistic for the coefficient on z, we need the standard error of the coefficient. The information provided in the question does not include the standard error. The t-statistic is calculated as the coefficient on z divided by its standard error.

The standard error of the coefficient measures the precision of the estimated coefficient. It takes into account the variability of the data and the sample size. Without this information, we cannot determine the t-statistic and make conclusions about the statistical significance of the coefficient on z.

Based on the information provided, we cannot calculate the t-statistic for the coefficient on z and determine its statistical significance. To assess the significance of the coefficient on z, we need the standard error, which is not provided in the given question.

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Answer:

what is that

Step-by-step explanation:

i don't understand the world

Answer:

ok so I'm English not a hundred percent sure on your break down of money......so if I'm right in thinking that a nickel = 5 cents, dime = 10cents and a quarter =25cents

you add the amounts together

so 25 + 30 +20 = 75 cents.

there are 100 cents in a dollar so 100/100 X 75=75%

I have no idea how you got to 44%

The probability that all 12 people called for jury duty will be available is low, as approximately 25% of individuals typically find an excuse to avoid it.

The probability of all 12 people called for jury duty being available can be determined using the binomial distribution. With a known probability of 0.75 for an individual being available, we can calculate the probability of all 12 individuals being available by substituting the values into the binomial probability formula. Evaluating this expression, we find that the probability is approximately 0.0563, or 5.63%. This means that it is relatively unlikely for all 12 people to be available, given that about 25% of individuals typically find an excuse to avoid jury duty. The binomial distribution provides a useful tool for understanding the likelihood of specific outcomes in a fixed number of independent trials.

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Answer:

Step-by-step explanation: 13 is a prime number because Its only divisors are 1 and 13.

13 is a prime number because It can only be divided by 1 and 13.

What are prime numbers?

Prime numbers are natural numbers that are divisible by only 1 and the number itself. In other words, prime numbers are positive integers greater than 1 with exactly two factors, 1 and the number itself. Some of the prime numbers include 2, 3, 5, 7, 11, 13, etc. Always remember that 1 is neither prime nor composite. Also, we can say that except for 1, the remaining numbers are classified as prime and composite numbers. All prime numbers are odd numbers except 2, 2 is the smallest prime number and is the only even prime number.

First Ten Prime Numbers

The first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

Now,

As 13 has only two factors, 1 and 13.

Hence,

          It is a prime number.

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Rotating 120° counterclockwise about point x, made the transformation shown in the picture above

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

Step-by-step explanation:

Q1; 10 units

The dotted lines separate the figure into 3 shapes - 1 square, 2 triangles.

The area of a square is s^2, where s is the side length.

The side length of the square is 2. 2^2 =4

The area of the square is 4 units.

The area of a triangle is bh/2, where b is the base and h is the height.

The base of the triangle on the left is 2 and the height is also 2. 2(2)/2 =2

The area of the left triangle is 2 units.

The triangle on the right has a base of 2 and a height of 4. 4(2) =8 /2 = 4

The area of the right triangle is 4 units.

The area of the composite figure is the area of the 2 triangles and the square added together; 4+2+4 =10

The area of the figure is 10 units.

Q2: The area of the shaded area is 44.2654825 \(cm^2\).

The area of a circle is π\(r^2\). The radius of this circle is 4cm.

Therefore, the area of the circle is 16π\(cm^2\).  

The formula for area of a rectangle is length times width. The length of this rectangle is 3 and the width is 2.

Therefore, the area of the rectangle is 6 cm^2

We're looking for the area of the shaded region (area of circle- rectangle), so we subtract the area of the rectangle from the area of the circle.

16π simplifies to 50.2654825 cm^2.

50.2654825-6 = 44.2654825 cm^2

The area of the shaded area is 44.2654825 \(cm^2\).

The quadrilateral WXYZ is not a square using the distance formula

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

W(-1,1),X(3,4),Y(6,0) and Z(2,3)

The lengths of the sides can be calculated using the following distance formula

Length = √[Change in x² + Change in y²]

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

WX = √[(-1 - 3)² + (1 - 4)²] = 5

XY = √[(3 - 6)² + (4 - 0)²] = 5

YZ = √[(6 - 2)² + (0 - 3)²] = 5

ZW = √[(2 + 1)² + (3 - 1)²] = 13

The sides that are congruent are WX, XY and YZ

This means that WXYZ is not a square

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hi

let take two points :  

( 0; -1)  and  (4 ;  2)

here is  a = 0 ; f(a) = -1

            b = 4   ; f(b) = 2

Slope is  :   f(a) -f(b)   / a-b

let's apply :   -1 - 2  / 0-4   =    -3/-4   =  3/4

Slope is   3/4

if you want to check result, you can calculate the coordonate of an other point and see if it match.

here I read that      there is a point on the line for  -4 ; -4  

here  I can read that  Y axis  value for   X = 0  is  -1  

as a line is defined  by :   mx+p  

with m =  slope  and p  value for  x = 0

so  : p = - 1

with   m =  3/4  ;   x = -4  and   p = -1  

I can test my line equation   and see if it match the result  :

3/4 ( -4)  - 1 =   -12/4 - 1 =   -3 -1 = -4  

Result match what I see on the graph, so previous result is correct.  

:  Slope is  3/4

ps :  if line grows, the slope can only be  positive. if line decrease, slope is negative, if line is constant, then slope is  still and equal 0

Answer:

On a horizontal number line, going left means that temperatures are getting colder, while going right means that temperatures are getting warmer.

The smallest positive integer n so that,

$$\renewcommand{\arraystretch}{1.5} \begin{pmatrix} -\frac{\sqrt{2}}{2} \frac{1}{n} \\ \frac{\sqrt{2}}{2} \frac{1}{n} \end{pmatrix}$$is a column matrix that contains integers,

we can write it as follows. $$\begin{pmatrix} -\frac{\sqrt{2}}{2} \frac{1}{n} \\ \frac{\sqrt{2}}{2} \frac{1}{n} \end{pmatrix} = \begin{pmatrix} -\frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{2}} \end{pmatrix} \frac{1}{n}.$$Since n has to be an integer, we have to find the smallest positive integer n for which the right-hand side is a column matrix containing integers. Since the left-hand side has a factor of 1/n, we can see that the smallest value of n must be a divisor of the denominator of the left-hand side. The denominator of the left-hand side is $\sqrt{2}/2$. If we multiply this by 100, we get 70.710678.

Therefore, the smallest positive integer n that satisfies the equation is the smallest divisor of 70.710678. This is 2, and it gives us the column matrix $$\begin{pmatrix} -\frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{2}} \end{pmatrix}.$$Therefore, the smallest positive integer n is 2.

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