The statement "the leftmost end point of a line segment must be specified as the start point of the line." is true because it extends infinitely in both directions and does not have a starting or ending point.
To specify a line segment, we must indicate the points that define its endpoints. The leftmost endpoint of a line segment is significant because it establishes the relative position of the segment in space.
Furthermore, it is essential to remember that the order of the endpoints of a line segment matters. Reversing the order of the endpoints changes the direction of the line segment. For instance, the line segment AB is not the same as the line segment BA.
Therefore, specifying the leftmost endpoint is critical because it establishes the direction of the line segment.
To know more about line segment here
https://brainly.com/question/30072605
#SPJ4
Find an expression which represents the difference when (2x-6) is subtracted from (7x-50 in simplest terms
The expression is represented as 5x - 44
What are algebraic expressions?Algebraic expressions are simply described as expressions that are composed of terms, coefficients, constants, factors, and variables.
Algebraic expressions are also known to be composed of mathematical operations.
These operations are given thus;
AdditionDivisionSubtractionMultiplicationBracketParenthesesFrom the information given, we have that;
difference when (2x-6) is subtracted from (7x-50
This is represented as;
7x - 50 - (2x - 6)
expand the bracket
7x - 50 - 2x + 6
collect the like terms
5x - 44
Learn about algebraic expressions at: https://brainly.com/question/4344214
#SPJ4
People tend to be members in the Senate later in their careers than they
are in the House of Representatives. Here are some summary statistics for
the ages of members of the House of Representatives and the Senate one
year in the United States.
Group
Mean age
Senate
μ = 62 years
House of Representatives μ = 58 years
Standard deviation
0 = 10 years
H
σ = 11 years
The Senate minority leader that year was 66 years old, while the House of
Representatives minority leader was 76 years old.
Relative to their group, which leader was older?
The Senate minority leader was younger relative to their group (with a mean age of 62 and standard deviation of 10 years) as they were 66 years old.
To determine which leader was older relative to their group, we need to calculate the number of standard deviations away from the mean age for both the Senate minority leader and the House of Representatives minority leader. This is also known as the z-score. Here are the steps:
Step 1: Calculate the z-score for the Senate minority leader.
z = (age of the leader - mean age of the group) / standard deviation of the group
z = (66 - 62) / 10
z = 4 / 10
z = 0.4
Step 2: Calculate the z-score for the House of Representatives minority leader.
z = (age of the leader - mean age of the group) / standard deviation of the group
z = (76 - 58) / 11
z = 18 / 11
z = 1.64
Step 3: Compare the z-scores.
The House of Representatives minority leader has a higher z-score (1.64) compared to the Senate minority leader (0.4).
Therefore, Relative to their group, the House of Representatives minority leader was older.
Learn more about mean age here,
https://brainly.com/question/10322721
#SPJ1
Relating to their group, the House Minority Leader is older than the Senate Minority Leader. The z-score calculation used allows for comparative analysis across different groups.
Explanation:To determine which leader is older relative to their group, we need to compute their z-scores. A z-score defines the number of standard deviations a given data point is from the mean. A higher z-score means an above-average age relative to their group, and a lower z-score implies below-average age relative to the group.
For Senate Minority Leader, z-score = (66 - 62) / 10 which equals to 0.4.
For House Minority Leader, z-score = (76 - 58) / 11 which equals to approximately 1.64.
Given that the House Minority Leader has higher z-score, they are older relative to their group compared to the Senate Minority Leader.
Learn more about z-score here:https://brainly.com/question/31613365
#SPJ11
I need this today, please help.
Factor this expression as far as possible: -48x
I'm stuck and I don't know how to do it
Factoring the expression -48x gives 2⁴ * 3 * -x
Factoring the expressionFrom the question, we have the following parameters that can be used in our computation:
-48x
Expand -48
So, we have
-48x = -2 * 2 * 2 * 2 * 3 * x
Express 2 as exponent expression
So, we have
-48x = 2⁴ * 3 * -x
Hence, the factored expression is 2⁴ * 3 * -x
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
A model car has a scale of 1:100, find the scale length in cm if the car is 4. 32m long
Answer:
4.32 cm
Step-by-step explanation:
let x = scale length of the car
1/100 = x/4.32
100x = 4.32
x = 4.32/100 = 0.0432 m
convert to m to cm: 0.0432 m x 100 cm/m = 4.32 cm
A company estimates from its past demand data that the seasonality index for the summer season is 0.7. what does this mean?
A seasonality index of 0.7 for the summer season means that the company's demand during the summer is 70% of the average demand for all seasons.
The seasonality index is a tool used by businesses to analyze the variations in demand during different periods. It measures how the demand for a particular season compares to the average demand for all seasons. An index value above 1 indicates higher than average demand, while a value below 1 signifies lower than average demand. In this case, a seasonality index of 0.7 implies that the company experiences 30% lower demand during the summer compared to the average demand across all seasons.
The company should be aware of the lower demand during the summer season and plan its production, inventory management, and marketing strategies accordingly to maximize efficiency and profitability.
To learn more about colorimeter average here:
https://brainly.com/question/24057012
#SPJ11
an automobile manufacturer has given its van a 28.3 miles/gallon (mpg) rating. an independent testing firm has been contracted to test the actual mpg for this van since it is believed that the van has an incorrect manufacturer's mpg rating. after testing 200 vans, they found a mean mpg of 28.0 . assume the population standard deviation is known to be 2.6 . is there sufficient evidence at the 0.01 level to support the testing firm's claim? step 2 of 6 : find the value of the test statistic. round your answer to two decimal places.
For a sample of rating of an automobile manufacturer's van regarding rating of 28.3 miles/gallon (mpg), the Z-test statistic value is equals to the -1.631.
Z-test is a parametric test. When the sample size is sufficiently large, it is mostly used. This test statistic is computed a standard normal distribution. It is then compared with the critical value (obtained from z-table). If the test statistic value is greater than it, there is evidence to reject the null hypothesis. We have an automobile manufacturer with its van rating. A sample of 200 vans is randomly considered. Sample size, n = 200
Mean of rating = 28
Standard deviations = 2.6
Lavel of significance= 0.01
To test the firm'claim we have to consider hypothesis testing here. Since it is claimed by an automobile manufacturer that its car has a 28.3 miles/gallon (MPG) rating, therefore, the null hypothesis and alternative can be stated as:
[tex]H_0 :μ = 28.3[/tex]
[tex]H_a :μ≠28.3[/tex]
Now, to determine the value of the test statistic, consider the Z-test : [tex] z = \dfrac{{M - \mu }}{{\dfrac{\sigma }{{\sqrt n }}}}[/tex]
where, M -> mean
n --> sample size
Substitute all known values in above formula, [tex]= \dfrac{{28 - 28.3}}{{\dfrac{{2.6 }}{{\sqrt {200} }}}}\\[/tex]
[tex]= \dfrac{{-0.3}}{{\dfrac{{0.26 }}{{\sqrt {2} }}}}\\[/tex]
=> z = - 1.631
Hence, required test statistic value is -1.631.
For more information about Z-test, visit :
https://brainly.com/question/30754810
#SPJ4
Choose all that show that a quantity increasing exponentially eventually exceeds a quantity increasing linearly as x approaches infinity
Answer:
A, B, C, D
Step-by-step explanation:
First of all, logically, an exponential function should change faster than a linear function (linear functions increase/decrease at a constant rate while exponential functions increase/decrease at an increasing/decreasing rate). Thus, if an exponential function is growing, it increases faster than a linear function at one point. Also, looking at all of the graphs, note how every exponential function is able to surpass the linear function in height (y-values). This also shows how all of the exponential functions will exceed the linear functions.
Megs family and friends gave her a total of $200 for her birthday she wants to use the money to buy vintage T-shirts which cost $16 each you can use a function to describe the amount of birthday money meg has left after purchasing X T-shirts
Answer:
So we know that if we have an unknown variable that is not stated in the question we can always say Meg buys X vintage T-shirts.
The cost of X vintage T-shirts can be expressed as 16X.
Meg's remaining birthday money after purchasing X vintage T-shirts may be computed by subtracting the cost of the T-shirts from the total amount of birthday money received:
Amount of money Meg has left = Total amount of birthday money - Cost of X vintage T-shirts
= $200 - $16X
So, the function that describes the amount of birthday money Meg has left after purchasing X vintage T-shirts is:
f(X) = $200 - $16X
This is a linear function with a negative slope of -16, indicating that the amount of money Meg has left decreases as she buys more T-shirts.
