Using linear functions, it is found that:
Plan A is cheaper for less than 150 messages.Plan B is cheaper for more than 150 messages.What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For each plan, we have that:
The slope is the cost per message.The intercept is the fixed monthly cost.Hence the cost functions for sending x messages are given as follows:
A(x) = 0.1x.B(x) = 12 + 0.02x.The costs will be the same when:
A(x) = B(x)
Hence:
0.1x = 12 + 0.02x
0.08x = 12
x = 12/0.08
x = 150.
Due to the lower intercept of plan A, and the lower cost per message of plan B, we have that:
Plan A is cheaper for less than 150 messages.Plan B is cheaper for more than 150 messages.More can be learned about linear functions at https://brainly.com/question/24808124
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20 points again!
Need help-
Answer:
The picture is not loading at all..... I'll still help tho, once I find out the question lol
Step-by-step explanation:
Answer:
20 seconds
Step-by-step explanation:
2seconds = 50 miles
? = 500 miles
500× 2 = 1000÷50= 20
If f(x) = 2x + 30 and g(x) = x2 + 5x - 10, what values of x will make f(x) = g(x)?
Answer:
x=5 and x=-8
Step-by-step explanation:
take f(x)=g(x)
2x+30 = x2 +5x-10
you get above values of x
farmer ed has 9000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. if farmer ed does not fence the side along the river, find the length and width of the plot that will maximize the area. what is the largest area that can be enclosed?
The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.
To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.
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Help me please this is due today :((
Show all work for it pleaseee
Answer:
Length C, B= 90 mi
Step-by-step explanation:
The small square in the corner in any shape always represent 90°
Hope it helps!!
an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in california. suppose that the mean income is found to be $24 for a random sample of 1417 people. assume the population standard deviation is known to be $5.1 . construct the 99% confidence interval for the mean per capita income in thousands of dollars. round your answers to one decimal place.
The mean per capita income in thousands of dollars with 99% confidence interval and sample size of 1417 is equal to CI = (23.7, 24.3).
Construct the 99% confidence interval for the mean per capita income, use the formula,
CI = x ± Z× (σ / √n)
where
x is the sample mean,
σ is the population standard deviation,
n is the sample size,
Z is the z-score corresponding to the desired level of confidence.
Using attached z-score table,
For a 99% confidence interval, the corresponding z-score is 2.58
Substituting the given values, we get,
⇒CI = 24 ± 2.58 × (5.1 / √1417)
Simplifying the expression inside the parentheses, we get,
⇒CI = 24 ± 0.349
⇒CI = (23.7, 24.3)
Rounding to one decimal place, the confidence interval is (23.7, 24.3) thousands of dollars.
Therefore, the 99% confidence interval for the mean per capita income is CI = (23.7, 24.3).
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a doctor knows that the disease meningitis causes the patient to have a stiff neck 50 % of the time. the doctor also knows that the probability that the patient has meningitis is 1 in 50,000. and the probability that any patient has stiff neck is 1 in 20. find the probability that a patient with the stiff neck has meningitis.
The probability that a patient with a stiff neck has meningitis is very low at 0.002%.
To find the probability that a patient with a stiff neck has meningitis, we can use Bayes' theorem.
Let A be the event that the patient has meningitis and B be the event that the patient has a stiff neck.
We know that P(B|A) = 0.5, meaning that if a patient has meningitis, there is a 50% chance they will have a stiff neck. We also know that P(A) = 1/50,000, meaning that the probability that any patient has meningitis is 1 in 50,000. Additionally, we know that P(B) = 1/20, meaning that the probability that any patient has a stiff neck is 1 in 20.
Using Bayes' theorem, we can find the probability that a patient with a stiff neck has meningitis:
P(A|B) = P(B|A) * P(A) / P(B)
P(A|B) = 0.5 * (1/50,000) / (1/20)
P(A|B) = 0.00002 or 0.002%
Therefore, the probability that a patient with a stiff neck has meningitis is very low at 0.002%.
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quadrilateral $abcd$ is a square. let $a,$ $b,$ $c$ be parallel lines passing through $a$, $b$, $c$, respectively. the distance between lines $a$ and $b$ is $12,$ and the distance between lines $b$ and $c$ is $17$. find the area of square $abcd$.
The area of square abcd is be parallel lines passing through $a$, $b$, $c$, respectively is the 433.
Squares are quadrilaterals with four congruent aspects and four proper angles, and additionally they have units of parallel aspects. Parallelograms are quadrilaterals with units of parallel aspects. Since squares have to be quadrilaterals with units of parallel aspects, then all squares are parallelograms.
Here we have the values the distance between lines a and b is 12, and the distance between lines b and c is 17.
The distance is 12 and 17
x^2 = 12^2 + 17^2 = 144 +289 = 433
433 is the total that is the area of square of abcd.
Thus the area = 433.
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This triangle has ____________.A) 1 acute angle and 2 right angles) 2 acute angles and 1 right angle) 1 obtuse angle and 2 acute angles) 2 obtuse angles and 1 acute angle
This triangle has \(\textbf{1 obtuse angle and 2 acute angles}.\) A triangle is a polygon with three sides and three angles. The sum of the angles in any triangle is always 180 degrees.
In the given options, a triangle with 1 acute angle and 2 right angles is not possible because the sum of two right angles is already 180 degrees, leaving no room for an acute angle. A triangle with 2 acute angles and 1 right angle is also not possible because the sum of two acute angles is less than 180 degrees.
Similarly, a triangle with 2 obtuse angles and 1 acute angle is not possible as the sum of two obtuse angles exceeds 180 degrees. Therefore, the only valid option is a triangle with 1 obtuse angle and 2 acute angles.
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Point A is located at (2, 4), After it is transformed, point A is located at (2,4), What could the
transformation be?
Answer:
4 units to the right
Step-by-step explanation:
(x,y)
so to go from -2 to 2 you must move 4 spaces.
On the x axis that is to the right.
If event A has high positive correlation with even B, which of the following is NOT true?
If event A increases, event B will also increase
The correlation coefficient is approximately .8 or higher
Event A causes event B to increase
All of the above are true
If event A has a high positive correlation with event B, it means that there is a strong relationship between the two events and they tend to move in the same direction. The statement "All of the above are true" is incorrect.
If event A has a high positive correlation with event B, it implies that there is a strong positive relationship between the two events. This means that as event A increases, event B is more likely to increase as well. Therefore, the statement "If event A increases, event B will also increase" is true.
Additionally, a correlation coefficient of approximately 0.8 or higher indicates a strong positive correlation between the two events. Hence, the statement "The correlation coefficient is approximately 0.8 or higher" is also true.
However, it is not accurate to say that event A causes event B to increase solely based on a high positive correlation. Correlation does not imply causation. While there may be a strong relationship between event A and event B, it does not necessarily mean that one event is causing the other to occur. Other factors or variables could be influencing both events simultaneously. Therefore, the statement "Event A causes event B to increase" is not necessarily true.
In summary, all of the statements provided are not true. While event A and event B have a high positive correlation and tend to increase together, it does not imply a causal relationship between the events.
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It would be great if someone could help me with this problem
WILL GIVE BRAINLIEST!!
TO CORRECT ANSWER.
You have four credit cards. Each has a balance of $950. 00, but their credit limits are $1,200. 00, $2,200. 00, $2,400. 00, and $3,000. 0. Paying off and closing which card would decrease your debt ratio?
A) $3,000. 00 limit
B) $2,400. 00 limit
C) $2,200. 00 limit
D) $1,200. 00 limit
Answer:
Im not too sure but it might be d?
what is the answer for a and b ?
Answer:
a. 3/10
b. 25 people
Step-by-step explanation:
a. 12/40
simplify
3/10
b. 40 people so multiply everything by 5
5 x 5 =25 people
Answer:
a) 30% & b) 25
Step-by-step explanation:
16+7+5+12 = 40
a) 12/40 = 0.3 = 3%
b) 5/40 = .125
200 x .125 = 25
the sum of 10 and 15 divide by the difference 8 and 3 how to translate
We have the following:
\(\frac{10-5}{8-3}=\frac{5}{5}=1\)a page of a calendar is 45 cm long and 26 cm wide. what is its area?
Answer: veasy
Step-by-step explanation: it is a rectangle then it's area will be length *breadth =45cm*26=1170cm^2.
Answer:
1170 or 0.117 m^2
Step-by-step explanation:
-18 1/2 + 27 82
Which expression best estimates
3
18-3
-18-3
-18+(-3)
m18+(-3)
12 more than 8 times a number m
Answer:
8m+12 would be the equation.
Step-by-step explanation:
pls help with math questions needed for class
Answer:
Exponential decay
Step-by-step explanation:
The general form of an exponential function is
\(P=P_{0}a^t\), where P0 is the initial value, a is the base, and t is the exponent.
In your example, P0 is 1 and a is 4/5.
A function is experiencing exponential growth when a > 1.
A function is experiencing exponential decay when 0 < a < 1.
4/5 lies between 0 and 1, so the function is experiencing exponential decay.
Determine if the following the following side lengths could form a triangle.
26,30, 124
Answer:
yes
Step-by-step explanation:
26^2+30^2=124^2
676+900=1576
1576=1576
statistics the art and science of learning from data 4th edition
"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.
This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.
Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.
When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.
In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
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What number multiplied by itself is equal to the product of 6 and 150.
Answer:
30Step-by-step explanation:
What number multiplied by itself is equal to the product of 6 and 150?
30
30 x 30 = 900
6 * 150 = 900
2/3n+1/2=3/4 I need this fast pls
Answer:
n = ⅜
Step-by-step explanation:
Answer: n = 1/6
Step-by-step explanation:
2/3n + 1/2 = 3/4
-1/2 -1/2
2/3n = 1/4
multiply both sides by 2/3
n = 1/4 *2/3
n = 2/12
reduce
n = 1/6
What percent of 48 is 12?
Answer:
5.76
Step-by-step explanation:
What is 12 percent (calculated percentage %) of number 48? Answer: 5.76.
Welcome for the answer. This answer is for good intentions only please don't report unless necessary. Have a great rest of your day!why the area and the perimeter are not both multiplied by the same factor.
Answer:
Step-by-step explanation:
It might be the length of one of the sides of a polygon (a figure with straight sides) or the radius of a circle. ... You can find the perimeter of a regular octagon (8-sided figure with equal sides) by multiplying the length of one of the sides by 8. The area of a figure is the measure of how large its surface is. I think btw if its wrong sorry :)
Me podrían ayudar? por favor es para hoy
1- es 96
A= (-3)(3-9-11) =(-3) x (-17) =51
B= (-1-11+7)(-3+12) = -5x9 = -45
A--B= 51--45 = 96
2- es 2929
p=-3(5-(3-7-1)) =-3(5-)-5))= -3(5+5) =3x10 =30
Q= -(-5(-5(-5+1))) = -(-5(-5(-4))) = -(-5x20) = -(-100) = 100
(p-1)(Q+1) = (30-1)(100+1) = 29x101= 2929
A rental car company charges $0.50 per mile and a flat rate of $30.00 for any type of sedan
The linear relationship that represents a cost, C(m) of $130 is;
130 = 30.00 + $0.50m
How to find linear relationship?Linear equation is represented as follows;
y = mx + b
where
m = slopeb = y-interceptTherefore,
c(m) = 0.5m + 30
where
C(m) represents the total cost for renting a sedan.
m represents the number of miles driven
Hence, the equation the linear relationship that represents a cost, C(m) of $130 is;
130 = 30.00 + $0.50m
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Can y’all help me I have two more to go
Answer:
b
Step-by-step explanation:
you can use a calculator, or this way of thinking about it :
the sqrt of 49 is 7. so rt46 is too small, and rt51 may be too big. rt50 is closer to rt49 ( 7's square) than rt47. so it is rt50
A Square has the vertices at (-2,6) (6,1) (1,-7) (-7,-2). At what point do the diagonals of the square intercect
Answer: At point (\(-\frac{1}{2},-\frac{1}{2}\))
Step-by-step explanation: Diagonal is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.
In other words, the diagonals of a square meet at their midpoint, which is found as the following:
(x,y) = \((\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})\)
The opposite vertices of the given square are (-2,6) and (1,-7).
So, the intersection is
(x,y) = \((\frac{-2+1}{2} ,\frac{6-7}{2})\)
(x,y) = \((-\frac{1}{2},-\frac{1}{2} )\)
The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point \((-\frac{1}{2},-\frac{1}{2} )\).
Enter the mixed number 2 35 100 in decimal form.
the data collected from the customers in restaurants about the quality of food is an example of a(n)... select one: variable study. cross-sectional study. experimental study. observational study.
The data collected from the customers in restaurants about the quality of food is an example of a(n); Observational Study
What type of statistical study is used?There are four types of statistical studies namely;
Observational studies
Surveys
Experiments
Meta-analytical studies.
1) An observational study involves observing and recording data on some variable(s) of interest.
2) A (sample) survey uses questioning to gather data.
3) An experiment also referred to as experimental study attempts to give an answer to a statistical question by manipulating all or part of the sample.
Now, we are told that some data was collected from the customers in restaurants about the quality of food.
This is a type of observational study because it involves observing and recording data on an interest which is quality of food
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