Alisha solved the inequality y ≤ |3x − 6| + 2 and got y ≤ 3x − 4 for x ≥ 2 and y ≤ −3x − 4 for x < 2. Explain Alisha's error, and show the correct answer.
Given:
The inequality is \(y \leq |3x - 6| + 2\).
Alisha solved the given inequality and got
\(y \leq 3x -4\) for \(x \geq 2\) and \(y \leq -3x - 4\) for \(x < 2\).
To find:
The Alisha's error, and the correct answer.
Solution:
We have,
\(y\leq |3x-6|+2\)
For \(x \geq 2, |3x-6|=3x-6\). So,
\(y\leq 3x-6+2\)
\(y\leq 3x-4\)
For \(x < 2, |3x-6|=-(3x-6)\). So,
\(y\leq -(3x-6)+2\)
\(y\leq -3x+6+2\)
\(y\leq -3x+8\)
Alisha's second inequality is wrong because she did not distribute the negative with 6.
Therefore, the correct answer is
\(y \leq 3x -4\) for \(x \geq 2\) and \(y \leq -3x +8\) for \(x < 2\).
Which is the better buy?
Frozen Peas
Cost (dollars)
Weight (ounces)
O Brand A
A B
2
16
3
28
O Brand B
O The unit cost is the same.
The better buy is given by the following brand:
Brand A.
How to obtain the better buy?The better buy is obtained applying the proportions in the context of the problem.
A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.
Then the better buy is given by the option with the lowest cost per ounce.
The cost per ounce for each brand is given as follows:
Brand A: 16/2 = $8 per ounce.Brand B: 28/3 = $9.3 per ounce.$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.
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Suppose the physics club is going on a field trip. Members will be riding in vans that will hold 7 people each including the driver. At least 24 people will be going on the field trip. What is the least number of vans needed to make the trip?
Answer:
4
Step-by-step explanation:
24/7 = 3.xxxx
Which is more than 3 and there is no such thing as a 0.xxx bus then you round the van value to the next whole number.
Keep practicing, this is basic stuff
Answer:
4
Step-by-step explanation
24 people going on the field trip and each bus seats 7 people
so 24/7 = 3 R3 + there will be 3 extra people because there will be 3 drivers so in total there will be 27 people so there will be 4 buses needed
I hope this helped : )
What is the solution set for 2n + 5 = 9, given the replacement set {0,1,2,3}?
n = 0
n = 1
n = 2
n = 3
Hey there!
2n + 5 = 9
SUBTRACT 5 to BOTH SIDES
2n + 5 - 5 = 9 - 5
CANCEL out: 5 - 5 because it gives you 0
KEEP: 9 - 5 because it help solve for the n-value
NEW EQUATION: 2n = 9 - 5
SIMPLIFY IT!
2n = 4
DIVIDE 2 to BOTH SIDES
2n/2 = 4/2
CANCEL out: 2/2 because it give you 1
KEEP: 4/2 because it give you the n-value
NEW EQUATION: n = 4/2
SIMPLIFY IT!
n = 2
Therefore, your answer is: n = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
spatiotemporal clustering with neyman-scott processes via connections to bayesian nonparametric mixture models
Spatiotemporal clustering with Neyman-Scott processes is a technique that involves the analysis of clustered events that occur both in space and time. It is often used in the field of spatial statistics.
The Neyman-Scott process is a point process that models the locations of events in space. It assumes that each event occurs independently and follows a certain distribution. In the context of spatiotemporal clustering, the Neyman-Scott process is extended to incorporate the temporal dimension, allowing for the modeling of events that occur at different points in time.
Bayesian nonparametric mixture models, on the other hand, are a class of statistical models that allow for flexible clustering of data without assuming a fixed number of clusters. These models use Bayesian methods to estimate the underlying structure of the data, which can be useful in cases where the number of clusters is unknown or may change over time.
The connection between spatiotemporal clustering with Neyman-Scott processes and Bayesian nonparametric mixture models lies in the modeling of the spatial and temporal patterns of the events. By using Bayesian nonparametric mixture models, we can estimate the number of clusters and their characteristics based on the observed data. This allows us to identify meaningful patterns and draw conclusions about the clustering behavior in both space and time.
In conclusion, spatiotemporal clustering with Neyman-Scott processes can be enhanced by incorporating connections to Bayesian nonparametric mixture models. This allows for flexible and data-driven modeling of the spatial and temporal patterns of clustered events. By considering both the spatial and temporal dimensions, we can gain a deeper understanding of the underlying processes and draw more accurate conclusions about the clustering behavior.
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Please I don’t get this show work please
Carmen makes 8 dollars for each hour of work. Write an equation to represent her total pay p after
working hours
Answer:
8x=p
Step-by-step explanation:
So 8 time the number of hours Carmen works which I used x. Then you’ll get the total.
Q2: Compare between the types of stacker and reclaimer?
Both stacker and reclaimer machines play a crucial role in material handling and management. However, they are used for different purposes, with stackers being used for stacking materials into piles and reclaimers being used to recover materials from those piles.
A stacker and a reclaimer are two different types of machines that are used in material handling. The key difference between these two machines is that stackers are used to stack materials in piles, whereas reclaimers are used to recover materials from piles.
Stacker Machines:
A stacker machine is a device that is used to stack bulk materials, typically coal, ore, or grain, into piles. The materials can then be retrieved by reclaimers and transported to different parts of the facility. There are two main types of stackers: the tripper and the radial. The tripper is a mobile stacker that moves along a rail track, while the radial stacker has a rotating boom that allows it to stack materials in a circular pattern.
Reclaimer Machines:
A reclaimer is a machine that is used to recover materials from piles that have already been stacked. The materials are typically coal, ore, or grain, and the reclaimer is used to retrieve them so that they can be transported to other parts of the facility.
There are two main types of reclaimers: the bucket-wheel reclaimer and the bridge-type reclaimer. The bucket-wheel reclaimer uses a large wheel with buckets attached to it to scoop up materials, while the bridge-type reclaimer moves on a rail track and uses a bucket or shovel to pick up materials.
Overall, both stacker and reclaimer machines play a crucial role in material handling and management. However, they are used for different purposes, with stackers being used for stacking materials into piles and reclaimers being used to recover materials from those piles. The type of machine that is used will depend on the specific needs of the facility and the type of materials that are being handled.
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The diagram of a lawn is shown below. If one bag of grass seed covers 3,000 square feet, how many bags of grass seed are needed to cover the lawn?
Answer:
4 and half (4.5) bags of grass seed are needed to cover the lawn
Step-by-step explanation:
Sally is serving lemonade to four friends. She is serving 4/7 cup per person.
Estimate how much lemonade she needs. Then calculate exactly how much she needs. What is the difference between the estimate and actual amount?
pls help, :)
Answer:
oi ngl levi is hawt I like your pfp ^^
Step-by-step explanation:
my name is Riley
Suppose a family has saved enough for a 10 day vacation (the only one they will be able to take for 10 years) and has a utility function U = V1/2 (where V is the number of healthy vacation days they experience). Suppose they are not a particularly healthy family and the probability that someone will have a vacation-ruining illness (V = 0) is 20%. What is the expected value of V?
Select one:
a. 10
b. 8
c. 2
d. 0
Answer: The expected value of V can be calculated as the sum of the products of the possible values of V and their corresponding probabilities. Let's consider the three possible scenarios:
V = 0 (with probability 0.2, as given in the problem)
V > 0 but V < 10 (with probability 0.8 * (9/10), because if nobody gets sick, they will have at least 1 healthy vacation day, and if they have 1 healthy day, they can still have 9 more days of vacation)
V = 10 (with probability 0.8 * (1/10), because if nobody gets sick, they can have all 10 days of vacation)
Using the utility function, we can see that the expected value of V is:
E[V] = 0 * 0.2 + (1/2) * (0.8 * 9/10) + 10 * (0.8 * 1/10)
E[V] = 0 + 0.36 + 0.8
E[V] = 1.16
Therefore, the expected value of V is 1.16. However, since V represents the number of healthy vacation days, it must be a non-negative integer. So, the closest integer to 1.16 is 1. Therefore, the answer is c. 2.
Helppp testtttttt
Answer choices in picture
A student was given two data sets, Set A and Set B. Which of the following
statements is true?
Set A
-1
0
1
2
3
50
75
100
150
125
Set B
X
-1
0
1
2
3
0.60
3
15
75
375
A. Set A is a linear function and the values increase at the same rate
as Set B.
B. Set B is an exponential function and the values increase at a
faster rate than Set A.
C. Set A is a linear function and the values increase at a faster rate
than Set B
D. Set B is an exponential function and the values increase at the
same rate as Set A.
PREVIOUS
Answer:
b) is the correct option
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
3
Answer:
T(-3,-2)
Step-by-step explanation:
R(x,y)
R(3,2)
P(6,0)
N(0,-4)
What percent of one hour is 25 minutes?
Answer:
41.667% or 42%
Step-by-step explanation:
25/60
simplify
5/12 = 41.667
5. Use the digits 3, 4, 5, 6, 7 and 8 to complete the statement.
Answer:
Step-by-step explanation:
i don't see a statement but use 7 i guess
Using the quadratic formula to solve x- + 20 = 2x, what are the values of x?
Answer:
they is no answer because x-+20 is not applicable to math
Answer:
x = -20
Step-by-step explanation:
because there is no quadratic equation there
consider the following. (give your answers to four decimal places. enter your answers as a comma-separated list.) y = x2 − 3x − 7
The x-intercepts are approximately x = 1.305, 5.695. These are the x-coordinates where the parabolic function crosses the x-axis.
What is parabola?
A parabolic function is a type of mathematical function that describes a parabolic curve or parabola. A parabola is a U-shaped curve that is symmetrical about its axis of symmetry.
The equation y = x^2 - 3x - 7 represents a parabolic function with its vertex located at (-3/2, -7). To find the x-coordinates of the x-intercepts (also known as the roots or zeros), we need to solve the equation x^2 - 3x - 7 = 0. This can be done using various methods, such as the quadratic formula or factoring.
Using the quadratic formula, the x-intercepts can be found as follows:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = -3, c = -7, and √ represents the square root symbol.
So,
x = (-(-3) ± √((-3)^2 - 4(1)(-7))) / 2(1)
x = (3 ± √(9 + 28)) / 2
x = (3 ± √37) / 2
Hence, the x-intercepts are approximately x = 1.305, 5.695. These are the x-coordinates where the parabolic function crosses the x-axis.
So the answer to the question is:
1.305, 5.695
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solve for x and set up proportion
The value of x from the given right triangle is 10 units.
Consider triangle ABC and triangle BDC.
Here, ∠ABC=∠BDC=90°
∠BCD=∠BCA (Reflexive angle)
By AA similarity ΔABC is similar to ΔBDC
We know that, when two triangles are similar their corresponding sides will be in ratio.
Now, x/20 = 5/x
x²=100
x=√100
x=10 units
Therefore, the value of x from the given right triangle is 10 units.
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Write the expression in radical form: (16x^3)^1/4
Answer:
Step-by-step explanation:
(16x³)^(¼) = (2⁴⋅x³)^(¼)
= (2⁴)^(¼)⋅(x³)^(¼)
= 2⋅(x^(¼))³
= 2⋅(∜x³)
= 2∜x³
Substitution
2x-6y=18
x = 3y + 9
Answer:
x=17/14 y=5/21
Kaydeen is long jumper whose personal best is 6m. Her personal best jump is 20% greater than the school's championship record.
(I) what is the school's championship record?
(ii) The National record is 7.5 m. By what percentage must Kaydeen increase her personal best jump to EQUAL the national record?
Answer:
The school's championship record is 5 m
Kaydeen must increase her personal best by 25%
Step-by-step explanation:
Find the school's championship record by dividing 6 by 1.2
6/1.2
= 5
So, the school's championship record is 5 m
Find the percentage that she has to increase her personal best to equal the national record, by finding the percent change
Divide the difference in the scores by Kaydeen's score
1.5/6
= 0.25
So, Kaydeen must increase her personal best by 25%
Do these ratios form a proportion?
5 boys to 7 girls
20 boys to 28 girls
yes or no
Answer:
yes
Step-by-step explanation:
First we should find a GCF for the number of boys and girls.
The gcf for the two would be 4.
Divide.
20/4 = 5
28/4= 7
therefore the ratio for boys to girls would be 5 to 7
a) Select a parameter of your choice: proportion, mean, or standard deviation, for which a general claim can be (or has been) made. Please try to decide on something that you are interested in knowing about. Who (what) are the two populations you want to compare?
b) Describe the problem including a general claim made about two specific populations:
c) Identify any relevant variables to the above problem: Are these variables categorical or numerical?
d) Collect either categorical or numerical data from two relevant samples. You must collect at least 30 data values from each sample. Discuss how your data has been collected and whether you were able to collect a random sample of data. If a random sampling was not possible, please explain why
Therefore, The problem is to compare the mean time spent on social media between high school and college students. The general claim is that college students spend more time on social media than high school students. The relevant variable is the amount of time spent on social media, which is numerical. Data was collected from 30 high school students and 30 college students, but a random sample was not possible due to bias in the data collection method.
I have chosen to compare the mean amount of time spent on social media per day between high school and college students. The general claim is that college students spend more time on social media than high school students. The relevant variable is the amount of time spent on social media, which is numerical. I collected data from 30 high school students and 30 college students using a survey. Unfortunately, it was not possible to collect a random sample of data because the survey was distributed through social media platforms, which may have biased the results towards students who spend more time on social media.
The problem is to compare the mean time spent on social media between high school and college students. The general claim is that college students spend more time on social media than high school students. The relevant variable is the amount of time spent on social media, which is numerical. Data was collected from 30 high school students and 30 college students, but a random sample was not possible due to bias in the data collection method.
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Which diagram BEST represents the relationship among integers, rational numbers, and whole numbers?
Answer:
The correct option is;
A)
Step-by-step explanation:
By the representation of numbers in a figurative for, we have;
1) Th rational numbers that can be expressed in the form a/b, where a and b are real numbers
2) The integers are the direct subset of the set of rational numbers and are displayed in he next larger ellipse in the figure
3) The whole numbers are the direct subset of the set of integers.
Answer:
the correct option is A
Step-by-step explanation:
please mark as brainliest
this is the diagram that is right
Omar bought 3 pizzas for a party. He cuts each pizza into quarters and plans to serve each guest 1 quarter of a pizza. How many guests can he serve with all his pizza?
Answer:
Stop spamming
Step-by-step explanation: The number of brain cells you have is the number of gusets he can serve. 12.
In a sample of 230 commuting students, 111 reported that they walked to school. Can you conclude that fewer than half of the commuting students walk to school? Conduct a hypothesis test at the significance level of 10%. This hypothesis test is testing ____ Hence, you perform a ____ test. The alternative hypothesis has a Select] symbol in it and both of the hypotheses compare the parameter to the value ____ The value of your test statisticis ____which results in a p-value of ____You could also find the critical value, which is ____ Using the p-value or the critical value, you determine that you _____ This means that there is ____ evidence to say that the proportion of commuting students that walk is ____ at the _____ level of significance.
This hypothesis test is testing the proportion of commuting students who walk to school.
Hence, you perform a one-sample proportion test.
The alternative hypothesis has a "less than" symbol in it and both of the hypotheses compare the parameter to the value 0.5.
The value of your test statistic is -1.885, which results in a p-value of 0.030.
You could also find the critical value, which is -1.645.
Using the p-value or the critical value, you determine that you reject the null hypothesis.
This means that there is significant evidence to say that the proportion of commuting students that walk is less than half at the 10% level of significance.
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i have two 20-sided dice that each have 4 maroon sides, 7 teal sides, 8 cyan sides, and one sparkly side. if i roll both dice, what is the probability they come up the same?
The probability of color coming up the same for rolling two 20-sided dice is 129/400.
Probability is defined as how likely something is to happen. For a single dice, getting a maroon, teal, and cyan have a probability of 4/20, 7/20, and 8/20, respectively.
Before solving the probability, we must identify whether the events are considered independent or dependent. Independent events are when the probability of an event happening does not affect the other's event probability of happening. A dependent event is when the probability of an event happening affects the other event. The rolling of dice is considered an independent event.
For events that should occur together, the multiplication rule is used. To solve for the probability of two sides coming up the same, the formula below is used.
P (A and B) = P (A) * P (B)
P (red and red) = (4/20)*(4/20) = 1/25
P (teal and teal) = (7/20)*(7/20) = 49/400
P (cyan and cyan) = (8/20)*(8/20) = 4/25
Since no specific color was stated in the problem, the sum of the probability of each color coming up the same is determined.
P (color come up the same) = P (red and red) + P (teal and teal) + P (cyan and cyan)
P (color come up the same) = 1/25 + 49/400 + 4/25
P (color come up the same) = 129/400
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The table displays the relationship between the number of downloaded songs, s, and the total cost, t, what are some other possible domain values?
The other possible domain values are integers greater than 0 and the type of domain would not be reasonable are decimal numbers and numbers less than 0
What are some other possible domain values?The table of values is given as:
Number of songs Total cost
0 5.68
5 8,64
10 14.50
Remove the total cost from the above table
Number of songs
0
5
10
From the above column, we can see that the number of songs is at least 0 and they are integers
This represents the domain
So, the other possible domain values are integers greater than 0
What type of domain would not be reasonableIn (a), we have:
The number of songs is at least 0 and they are integers
So, the type of domain would not be reasonable are decimal numbers and numbers less than 0
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Work out the size of angle x and the size of angle y.
Give each of your answers in degrees to 1 d.p.
17.9 cm
x
Y
14.8 cm
Not drawn accurately
The measure of angle x and y are 55.8° and 34.2° respectively.
What are the measure of angle x and y?The figure in the image is a right triangle.
Angle x = ?Angle y = ?Hypotenuse = 17.9 cmOpposite to angle x = 14.8 cmAdjacent to angle y = 14.8 cmTo solve for the missing angles, we use the trigonometric ratio.
Note:
Sine = opposite / hypotenuse
Cosine = Adjacent / hypotenuse
To solve for angle x:
sin( x ) = opposite / hypotenuse
sin( x ) = 14.8 / 17.9
Take the sine inverse
x = sin⁻¹( 14.8 / 17.9 )
x = 55.8°
To solve for angle y:
cos( y ) = adjacent / hypotenuse
cos( y ) = ( 14.8 / 17.9 )
Take the cosine inverse
y = cos⁻¹( 14.8 / 17.9 )
y = 34.2°
Therefore, the measure of angle y is 34.2 degrees.
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Lori is making 3 mugs of hot chocolate. Each mug holds 1/2 a pint. How many cups of hot chocolate does Lori pour?
Answer:
3 CUPS pints
Step-by-step explanation:
Multiple to get it by doing this (1/2) US pint x 3 = 1.5 US pints *2= 3 cups