A line and two triangles are shown on the coordinate plane.


The slope between D and B is the same as the slope between E and F. Choose the correct justification for this fact.

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

For more such question on probability. visit :

https://brainly.com/question/251701

#SPJ8

Answers:

(2, -3) and (3, -3)

==================================================

Work Shown:

Since f(x) = -3, we'll replace f(x) with -3 and solve for x

f(x) = x^2 - 5x + 3

-3 = x^2 - 5x + 3 .... f(x) replaced with -3

0 = x^2 - 5x + 3 + 3 ... adding 3 to both sides

0 = x^2 - 5x + 6

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0 .... factor; you can also apply the quadratic formula

x-3=0 or x-2=0

x = 3 or x = 2

So that explains where that '2' comes from when they listed (2, ?)

-------------

To find what replaces the question mark, we will plug x = 2 into the function

f(x) = x^2 - 5x + 3

f(2) = 2^2 - 5(2) + 3

f(2) = 4 - 10 + 3

f(2) = -3

We could have skipped this portion and said that the solution is (2,-3) but plugging x = 2 into the function to get the output y = -3 helps confirm that x = 2 is one of the x solutions.

-------------

Let's do the same for x = 3

f(x) = x^2 - 5x + 3

f(3) = 3^2 - 5(3) + 3

f(3) = 9 - 15 + 3

f(3) = -3

We end up with the same output, so x = 3 is confirmed as well.

The graph below visually helps reinforce these confirmations. Each solution  is an intersection between the two curves.

Answer:

cool

Step-by-step explanation:

I'm not sure I'm just getting points

Answer:

5.5

Step-by-step explanation:

180/3 =60 (60/1 hr)

330/60 =5.5

Answer:

58 minutes

Step-by-step explanation:

Please brainliest me

There are 11 minutes more time to spend doing English homework.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

If you spent 58 minutes doing English homework and 47 minutes doing math homework.

Now,

Since, The time for doing English homework = 58 minutes

And, The time for doing Math homework = 47 minutes

So, The time more to spend doing English homework = 58 - 47

                                                                                   = 11 minutes

Thus, There are 11 minutes more time to spend doing English homework.

Learn more about the subtraction visit:

https://brainly.com/question/28467694

#SPJ5

Answer:

\(14 \times 0.5 = 70 \\ 70\)

Answer:

c

Step-by-step explanation:

Answer:

The Answer is D X=1/2,4

Step-by-step explanation:

1. f(x) - cubic function -- polynomial , g(x) - linear function

similar

The function f(x) = x³+x²-3x+4 is a polynomial function and g(x) = 2ˣ-4 is an exponential function.

Domain: -∞ < x < ∞

Range: -∞ < y < ∞

y-intercept = 4

x - intercepts = -2.68

Function g(x)

Domain: x > 0

Range: -4 < y < ∞

y - intercept = -4

x - intercepts = none

By comparing the key features above, we can conclude that the common features in both functions are their range

Read more about functions at:

brainly.com/question/24123211

#SPJ2

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

The process of evaluating a function is typically straightforward when we have the function in the form of a formula. For instance, it is possible to evaluate the function f(x)=53x2 by first squaring the input number, multiplying by 3, and then subtracting the result from 5.

The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x.

To determine the outcome, simplify the values. The abscissa is the x value of the point (x, y). It shows how far a point is from the origin or from the x-axis' horizontal axis. 

To learn more about  evaluating a function refer to:

https://brainly.com/question/2284360

#SPJ1

Answer:

18

Step-by-step explanation:

6/2=3+8=11

11*2=22

22-4=18

Use this to help you next time!

Paranthesis

Exponets

Multiplication

Divison

Add

Subtract

Hope this helps!

The correct answer is b. frequency.

Data collection in a functional analysis typically involves recording the frequency of a target behavior. In functional analysis, the focus is on understanding the function or purpose of a behavior, and frequency data helps to identify patterns and determine the relationship between the behavior and environmental events.

During a functional analysis, various conditions are manipulated to assess how they impact the occurrence of the behavior. The frequency of the behavior is typically recorded within each condition to determine if there are differences in its occurrence based on the specific environmental variables being manipulated.

While duration and momentary time sampling are also data collection methods used in behavioral analysis, they are not specifically associated with functional analysis. Duration refers to measuring the length of time a behavior occurs, while momentary time sampling involves recording whether a behavior is occurring or not at specific intervals of time.

In functional analysis, frequency data is typically the primary method for collecting and analyzing data to understand the relationship between behavior and environmental variables.

For more such questions on frequency

https://brainly.com/question/28821602

#SPJ8

Data collection in a functional analysis is usually based on three components: duration, frequency, and momentary time sampling. Duration observes the amount of time a behavior occurs. Frequency measures how often a behavior occurs. Momentary time sampling observes the existence of behavior at specified time intervals.

In the context of a functional analysis, typically the data collection methods revolve around three primary types: duration, frequency, and momentary time sampling.

Duration refers to the total amount of time that a behavior happens. It generally is measured from the moment the behavior begins until it ends. It's important when the length of time that the behavior occurs can impact its functionality.

Frequency records how often a behavior occurs within a set observational period. It’s used when the number of times the behavior occurs is the important aspect to measure.

Momentary time sampling is a method of measuring behavior in which the existence or nonexistence of behaviors are recorded at precisely specified time intervals. This process involves observing whether the behavior occurs or does not occur at the moment the interval ends. This method is beneficial as it does not need continuous observation.

https://brainly.com/question/35917278

#SPJ12

Answer:

22

Step-by-step explanation:

42-9=33

33/1.50=22

Answer:

You can do it with your eyes closed

Step-by-step explanation:

Answer:

n = -3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

3(-2 - n) = -9 - 4n

Step 2: Solve for n

Step 3: Check

Plug in n to verify it's a solution.

Standard deviation = square root of [(sum of (each observation - mean)^2) / (number of observations - 1)]. To calculate The standard deviation of the number of large earthquakes in the United States in a given year, the large number of earthquakes that occurred in the country over some time.

The calculation of the average number of large earthquakes in the USA through a standard equation:

Standard deviation = square root of [(sum of (each observation - mean)^2) / (number of observations - 1)]

According to this, each observation is the number of earthquakes that occurred in the USA in a year and the number of observations is the number of years.

It has lower worth of standard deviation on earthquakes which differs from year to year. They are complex. However, understanding the calculation is based on the typical range of variation we might expect to see in the number of large earthquakes.

To know more about the standard deviation

brainly.com/question/23907081

#SPJ4

Tyler made an error in his analysis by assuming the supplementary angle, m<1 = 72, was the same as the angle opposite it. Tyler's mistake was in assuming that the same-side exterior angles theorem and the definition of supplementary angles were interchangeable.

Tyler assumes that because the theorem states that same-side exterior angles are supplementary, then any supplementary angles must be same-side exterior angles. Therefore, he concludes that m<2 is also 72 degrees, and that m<3 is 180-72 = 108 degrees. However, this assumption is incorrect. Supplementary angles can be any two angles that add up to 180 degrees, and they do not have to be same-side exterior angles. Therefore, Tyler's analysis is incorrect. The correct way to solve this problem would be to recognize that the angle opposite m<1 is m<3, and therefore, m<3 = 72 degrees.

In summary, Tyler's error in his analysis was to assume that the same-side exterior angles theorem and the definition of supplementary angles were interchangeable. This assumption led him to conclude that m<2 and m<3 were both same-side exterior angles and therefore both 72 degrees. However, this assumption is incorrect, and Tyler's analysis is flawed. The correct way to solve the problem is to recognize that m<1 and m<3 are supplementary angles, and therefore, m<3 is 72 degrees. Then, because m<2 and m<3 form a straight line, m<2 is 108 degrees. In conclusion, Tyler's error shows the importance of understanding the definitions of basic geometric concepts and not making assumptions based on incomplete knowledge.

To know more about angle visit:

https://brainly.com/question/31818999

#SPJ11

Geometric growth is a type of exponential growth where a quantity or value increases at a fixed percentage rate over a certain period of time.

Geometric growth is a type of exponential growth where a quantity or value increases at a fixed percentage rate over a certain period of time. This means that the growth rate is proportional to the current size or value of the quantity, resulting in a continuously increasing growth rate.

Geometric growth is commonly observed in natural and social systems, such as population growth, compound interest, and the spread of infectious diseases. It is represented mathematically by an exponential function, where the base of the exponent is greater than one, indicating an increasing rate of growth over time.

Learn more about Geometric growth here

brainly.com/question/13156498

#SPJ4

I have solved the question in general, as the given question is incomplete.

The complete question is:

What is geometric growth ?

Answer: look at the image. hope this helps

Step-by-step explanation:

Answer: 21.608040201

Step-by-step explanation:

1. use sin

inverse of sin(44/57) = 50.5 ---> 51°

2. use tan

inverse of tan(6/8) = 36.8 ---> 37°

3. use cos

inverse of cos(20/31) = 49.8 ---> 50°

4. use sin

inverse of sin(37/58) = 39.6 ---> 40°

Answer:

15-10-11-14

Step-by-step explanation:

15+10= 25

25+11= 36

36+14= 50

Answer:

D.

Step-by-step explanation:

tan A = 6/7.5 = 0.8

m < A = 38.7 degrees.

Answer:

-1/3

Step-by-step explanation:

slope = change in y / change in x

point 1 = (4, 7)

point 2 = (7, 6)

slope = (6 - 7)/(7-4) = (-1/3)

slope= -1/3

Answer:

-1/3

Step-by-step explanation:

Work from left to right.
Find the first point, work your way down to the next.
For this question, you would be going down one, over three until you get to the next point.
Down one, right three = -1/3
Now you have your slope.

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

Learn more about probability  at:

https://brainly.com/question/30390037

#SPJ4

The value of x as an int variable is 0

An int(integer) variable is a variable containing only whole numbers.

Given the expression;

x = - 3 + 4 % 6/ 5

Let's make into proper fraction, we have

x = - 3 + {}4/ 100 × 6/ 5

Multiply through

x = -3 + 6/ 5/ 4/ 100

x = -3 + {6/ 5 ÷ 0. 4}

x = -3 + {3}

expand the bracket

x = -3 + 3

Add like terms

x = 0

Thus, the value of x as an int variable is 0

Learn more about integers here:

https://brainly.com/question/17695139

#SPJ1

Complete question;

Assume that x is an int variable. what value is assigned to x after the following assignment statement is executed? x = -3 + 4 % 6/ 5;

The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Read more about the equation

brainly.com/question/14614141

#SPJ1

Answer:

C) 30 minutes

Step-by-step explanation:

According to the line of best fit, when x=360, y=30, which means that a teenager spends 30 minutes watching television if they spend 360 minutes on the computer.

Answer:

  not similar

Step-by-step explanation:

SAS similarity could be used if corresponding sides were proportional. They're not.

  36/26 ≠ 16/12

The triangles are not similar.

To estimate the variance of the error term, σ², and Var(B₁), we can use the formulas provided in equation (2.61) from the CLM Assumptions.

In equation (2.61) of the CLM Assumptions, the variance of the error term, σ², is estimated as:

σ² = (SSE / (n - k - 1))

where SSE is the sum of squared errors, n is the sample size, and k is the number of independent variables in the model (excluding the constant term). Since the given equation is a simple linear regression model with one independent variable (x₁), k would be 1.

To calculate SSE, we need to compute the sum of squared differences between the actual y values and the predicted values based on the estimated regression line. However, we do not have the predicted values or the estimated coefficients (β₀ and β₁) provided in the question. Without these values, we cannot calculate the SSE or estimate σ².

Similarly, to estimate the variance of B₁ (Var(B₁)), we need the estimated standard error of B₁. The standard error of B₁ can be calculated using the formula:

SE(B₁) = sqrt(σ² / (n * Var(x₁)))

However, without the estimated coefficients or the predicted values, we cannot calculate the standard error of B₁ or estimate Var(B₁).

Without the necessary values (estimated coefficients or predicted values), we cannot calculate the variance of the error term (σ²) or the variance of B₁ (Var(B₁)). The provided information is insufficient to perform these calculations.

To know more about variance visit:

https://brainly.com/question/9304306

#SPJ11

The study conducted by the Gallup News Service, asking 1,004 adults about their level of concern regarding global warming, is a cross-sectional study.

The study conducted by the Gallup News Service, where 1,004 adults were surveyed and asked about their level of concern regarding global warming, can be categorized as a cross-sectional study. In a cross-sectional study, data is collected at a specific point in time from a sample of individuals or units from a population. In this case, the survey gathered information from a group of adults at a particular time to understand their level of concern regarding global warming.

To know more about Gallup News, refer here:

https://brainly.com/question/29405059

#SPJ4