Solve.
4 x + 6 < − 6
Thankyou In advance :>
Answer:
x < -3
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
\(4x + 6 - 6 < -6 - 6\) \(4x < -12\)Step 2: Divide both sides by 4.
\(\frac{4x}{4} < \frac{-12}{4}\) \(x < -3\)Therefore, the answer is x < -3.
{(-2,5),(-1, 1), (3, 1).(-1, -2)}
According to the given data we have the following relation:
{(-2,5),(-1, 1), (3, 1).(-1, -2)
The relation expressed as a table would be as follows:
The relation expressed as a map would be as follows:
If 2 > -a, then _____.
a > 2
a > -2
a < 2
a < -2
Answer:
B
Step-by-step explanation:
:))
Pls help me, I will mark as Brainliest! Thank u! (7th grade math work)
Answer:
Q 1- 15, just multiply 5 x 2 = 15
Q 2- 36, just multiply 8 x 12 = 36
Q 3- y= -2x
Q 4- 1200
Q 5- 20
You receive an 11% commission on all the sales you make. This month, you made a sale of $45,050, what is your commission?
Please help quickly I am really stuck
Answer:
4,955.50
Step-by-step explanation:
45050x.11=4955.50
A nationwide poll of 2.525 adults estimated with a 95% confidence that the proportion of Americans that support health care reform is 0.78 ± 0.0162. A member of Congress thinks that 95% confidence isn't enough. He wants to be 99% confident. How would the margin of error of a 99% confidence interval based on the same sample compare with the 95% interval?
a) It would be smaller, because it omits only 1% of the possible samples instead of 5% percent.
b) It would be the same, because the sample is the same.
c) It would be larger, because higher confidence requires a larger margin of error.
d) Can't tell, because the margin of error varies from sample to sample.
e) Can't tell, because it depends on the size of the population.
c) It would be larger, because higher confidence requires a larger margin of error.
When increasing the confidence level from 95% to 99%, the margin of error of the confidence interval tends to increase. This is because a higher confidence level means we want to be more certain or have a higher level of confidence in capturing the true population parameter.
To achieve a higher confidence level, we need to widen the interval to account for more potential variability in the population. As a result, the margin of error increases, reflecting the increased uncertainty and the need for a larger range of values to capture the true population parameter with higher confidence.
Therefore, the margin of error of a 99% confidence interval, based on the same sample, would be larger compared to the 95% interval.
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simplify √16n/m^3 1. 4√mn/n^2 2.4√mn/m 3.√mn/4m 4. 4√mn/m^2
Answer: \(4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}\) .
Step-by-step explanation:
The given expression: \(\sqrt{\dfrac{16n}{m^3}}\)
'
since \(16=4^2\)
\(m^3=m^{2+1}= m^2\times m\) [\(a^{n+m}=a^n\times a^m\)]
Now, the given expression becomes,
\(\sqrt{\dfrac{4^2n}{m^2\timesn}}=\dfrac{4\sqrt{n}}{m\sqrt{m}}\)
Since there is root in denominator , so we need to rationalize
\(\dfrac{4\sqrt{n}}{m\sqrt{m}}\times\dfrac{\sqrt{m}}{\sqrt{m}}=\dfrac{4\sqrt{mn}}{m\times\sqrt{m}\times\sqrt{m} }\\\\=\dfrac{4\sqrt{mn}}{m\times m}\\\\=\dfrac{4\sqrt{mn}}{m^2}\)
Hence, the correct option is \(4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}\) .
Zach is 23 years old. Zach's age is 3 years older than twice Maya's age. Let m represent Maya's age.
If you're writing an equation:
M=3+2m??
he is 23
Step-by-step explanation:
ok so 23-3=20
20÷2= M
rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.Her friend ronan's house is due north of her house. Adter showing he new scooter she went to library which is due west from ronaks house.while returning back she drove 17km diagonally to her house find distance between rhea and her friends house. How far is the library from ronaks house.
(Urgent!!)
The distance between rhea and her friend's house could be 8 km and The distance of the library from the rocks house could be 15 km.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.
Her friend Ronan's house is due north of her house.
After showing him the new scooter she went to the library which is due west from rocks house.
while returning back she drove 17km diagonally to her house.
By Pythagoras' theorem
|AC|^2 = |AB|^2 + |BC|^2
Here we can assume that
AB = The distance between rhea and her friend's house.
BC = The distance of the library from rocks house.
The triplet of the 17 would be (8, 15, 17)
So, we can say that the AB could be 8 km and BC could be 15 km or vice versa.
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Find the generating function of the sequence {an}n≥0 determined by an = an−1 + 6an−1 with initial conditions a0 = 1, a1 = 3. You need to find the closed form of the generating function, but you don’t need find the closed form of the coefficients.
The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.
To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.
The given recurrence relation is: an = an-1 + 6an-2
We are also given the initial conditions: a0 = 1 and a1 = 3.
To find the generating function, we define the generating function A(x) as:
a(x) = a0 + a1x + a2x² + a3x³ + ...
Multiplying the recurrence relation by x^n and summing over all values of n, we get:
∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)
Now, let's express each summation in terms of the generating function a(x):
a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾
Simplifying and rearranging the terms, we have:
a(x)(1 - x - 6x²) = a0 + (a1 - a0)x
Using the given initial conditions, we have:
a(x)(1 - x - 6x²) = 1 + 2x
Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):
a(x) = (1 + 2x) / (1 - x - 6x²)
Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).
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the relation between ages of all people in the world can be classified as what sort of relation?
The relation between ages of all people in the world can be classified as a non-functional relation or a many-to-many relation, as multiple people can have the same age and age can vary among individuals.
The relation between ages of all people in the world can be classified as a non-functional relation because there can be multiple people with the same age. In other words, one age value (input) does not uniquely determine a single person (output). For example, there can be multiple individuals who are 25 years old. Additionally, age can vary among individuals, meaning that different people can have different ages. This variability further supports the notion of a non-functional relation.
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Please helppppp me What’s the answer?
Answer:
She shaded above the line when she should have shaded below the line.
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong then I am incredibly sorry!
En aquest moment, la diferència de preu entre dos cotxes és de 987€. Quina serà la nova diferència si el model més car disminueix 50€ en el preu i el més econòmic augmenta en 200€?
Answer:
Step-by-step explanation:
Sam calls a friend to get help with his math homework. Which instructions would best help Sam solve the inequality shown below? 15 3/4 < -2 + x
F. Add 15 3/4 to both sides of the inequality.
G. Subtract 2 from both sides of the inequality.
H. Add 2 to both sides of the inequality.
J. Subtract 15 3/4 from both sides of the inequality.
At an ice cream shop, 4 of the last 12 cones sold had chocolate ice cream. Considering this data, how many of the next 15 cones sold would you expect to have chocolate ice cream?
Answer:
5
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(chocolate)
=
chocolate
total
=
4
12
=
1
3
The experimental probability is
1
3
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1
3
=
n
15
1
3
(315)
=
n
15
(315) Multiply both sides by (315)
115
= 3n Simplify
15
= 3n Simplify
5
= n Divide both sides by 3
You would expect 5 of the next 15 cones sold to have chocolate ice cream.
Which of the following would be most useful if you want to know how many standard deviations from the mean a single score in a data set falls?
a. At-score
b. Az score
c. A deviation coefficient
d. A variance determination
The z-score would be most useful if you want to know how many standard deviations from the mean a single score in a data set falls. So, the answer to the given question is option B) Az score.
What is a z-score?The z-score is a standard score that indicates how many standard deviations an observation is from the mean. A z-score expresses the difference between a measurement and the mean in units of standard deviation. It is calculated as follows: Z-score= (score – mean) / standard deviation
The z-score is frequently utilized in statistics as an index of the likelihood that a result will occur. It is often utilized to determine whether a value is significantly different from the average. It is also known as a standard score or a normal deviate.
The z-score indicates how many standard deviations an observation is from the mean. A positive z-score indicates that the measurement is above the mean, whereas a negative z-score indicates that the measurement is below the mean. A z-score of zero indicates that the score is equal to the mean.
Hence, the answer to the given question is option B) Az score.
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Can someone please help me with this
Answer:
P = $5000
Step-by-step explanation:
I = PRT ( divide both sides by RT )
\(\frac{I}{RT}\) = P
substitute given values
P = \(\frac{I}{RT}\) = \(\frac{312.5}{0.25(0.25)}\) = \(\frac{312.5}{0.0625}\) = $5000
________ (please use the acronym) is a set of best practices that helps an organization to maximize the benefits of an information system, while at the same time establishing appropriate controls to ensure minimum errors.
The correct answer is ITIL (Information Technology Infrastructure Library). The acronym that best fits this description is "ITIL" or Information Technology Infrastructure Library.
ITIL is a framework that provides guidelines for IT service management and includes a set of best practices for managing IT services. ITIL helps organizations to achieve their objectives by establishing appropriate controls to ensure minimum errors and maximizing the benefits of an information system. ITIL (Information Technology Infrastructure Library) is a set of best practices that helps an organization to maximize the benefits of an information system, while at the same time establishing appropriate controls to ensure minimum errors.
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Formula One race cars can reach speeds of approximately 200 meters per 5 pointssecond. What is this speed in meters per minute? *1,200 meters per minute2.65 meters per minute120 meters per minute12,000 meters per minuteSaintesCompare these two fractions: 3/10 and 115 *
One minute has 60 seconds. So we want to know if the car can travel 200 meters in 1 second, how far can it go in 60 seconds?
\(\frac{200m}{1s}\times60s=12,000\text{ m/s}\)The speed in meters per minute is 12,000
Write a short statement that expresses a possible relationship between the variables, (rate of pedaling. speed of bicycle) A. As the rate of pedaling increases, the speed of a bicycle increases. B. As the speed of a bicycle decreases, the rate of pedaling increases. C. As the speed of a bicycle increases, the rate of pedaling decreases. D. As the rate of pedaling increases the speed of a bicycle decreases
The most appropriate statement that expresses a possible relationship between the variables, rate of pedaling and speed of a bicycle, is option A: "As the rate of pedaling increases, the speed of a bicycle increases."
This statement suggests that there is a positive correlation between the rate of pedaling and the resulting speed of the bicycle. When a cyclist pedals faster, it generates more force and power, translating into increased speed. This relationship aligns with basic principles of physics, as a greater input of energy and effort through pedaling leads to a higher velocity or speed output.
Option B implies that decreasing bicycle speed necessitates an increase in the rate of pedaling, and option C indicates that increasing bicycle speed is associated with a decrease in the rate of pedaling.
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1.6y+y-4/15y+1 1/6y=2 1/3
PLZ HELP I GIVE BRAINLYIEST TO WHOEVER SOLVES FIRST
Answer:
i think its 2/3
Step-by-step explanation:
To find the height of the Eiffel tower, Antoine placed a mirror 500 meters away from the tower. He then positions himself as shown so that the top of the tower is visible in the mirror. He is standing 2.75 meters from the mirror and his eyes are 1.8 meters off the ground. How tall is the tower?
Answer:
400 meters
Step-by-step explanation:
Thomas bought 2 tables and 8 chairs for rs. 21000 at same rate, mohan bought 3 tables and 10 chairs for rs. 28500 calcuate the cost of 1 table. calcuate the cost of 1 chair
Refer the attached image for the answer
HOPE SO IT HELPS YOU
Derive a formula of the determinant of a general n x n matrix Vn, and justify your answer: 1 1 1 21 X2 αη Vn x x2 n-1 n-1 (Hint: mathematical induction, elementary row operations and cofactor expansion.)
The formula of the determinant of a general n x n matrix Vn, can be derived using mathematical induction, elementary row operations, and cofactor expansion as follows:
Base caseFor the 1x1 matrix V1 = [α], its determinant is simply α, which can be obtained by cofactor expansion as follows: |α| = αInductive stepSuppose that the formula holds for all (n-1)x(n-1) matrices. We want to show that it holds for all nxn matrices.
Vn = [a11 a12 ... a1n;a21 a22 ... a2n;...;an1 an2 ... ann]For each row i, let Vi,j be the (n-1)x(n-1) matrix obtained by deleting the ith row and the jth column. Then, using the definition of the determinant by cofactor expansion along the first row, we have:
|Vn| = a11|V1,1| - a12|V1,2| + ... + (-1)n-1an,n-1|V1,n-1| + (-1)n an,n|V1,n|
For the ith term of the sum,
we have:
|Vi,j| = (-1)i+j|Vj,i|,
which can be shown using cofactor expansion along the ith row and jth column and applying mathematical induction:
For the base case of the 2x2 matrix V2 = [a11 a12;a21 a22],
we have:
|V2| = a11a22 - a12a21 = (-1)1+1a22|V2,1| - (-1)1+2a21|V2,2| - (-1)2+1a12|V2,3| + (-1)2+2a11|V2,4|
= a22|V1,1| + a21|V1,2| - a12|V1,3| + a11|V1,4|
For the inductive step, assume that the formula holds for all (n-1)x(n-1) matrices. Then, for any 1 <= i,j <= n,
we have:
|Vi,j| = (-1)i+j|Vj,i|
Therefore, we can express the determinant of Vn as:
|Vn| = a11(-1)2|V1,1| - a12(-1)3|V1,2| + ... + (-1)n-1an,n-1(-1)n|V1,n-1| + (-1)n an,n(-1)n+1|V1,n||V1,1|, |V1,2|, ..., |V1,n|
are determinants of (n-1)x(n-1) matrices, which can be obtained using cofactor expansion and applying the formula by mathematical induction. Therefore, the formula holds for all nxn matrices.
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How much money will it cost you to drive a diesel tractor trailer truck 175.0 miles if it gets 8.500 miles per gallon and diesel fuel costs $3.599/gallon
To calculate the cost of driving a diesel tractor trailer truck for 175.0 miles, we need to determine the number of gallons of fuel required and then multiply it by the cost per gallon.
Calculate the number of gallons of fuel needed. Given that the truck gets 8.500 miles per gallon, we divide the total distance (175.0 miles) by the fuel efficiency: 175.0 miles / 8.500 miles per gallon
= 20.59 gallons (approximately)
Calculate the cost of the fuel.Since diesel fuel costs $3.599 per gallon, we multiply the number of gallons needed by the cost per gallon: 20.59 gallons x $3.599/gallon = $73.89 (approximately) Therefore, it will cost you approximately $73.89 to drive the diesel tractor trailer truck for 175.0 miles, assuming it gets 8.500 miles per gallon and diesel fuel costs $3.599 per gallon.
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Look at the pic down there
Answer:
Part A: 8.4 minutes per mile
Part B: 38 minutes
Explanation on Part B: (put it in your own context)
8.4 + 1.1 = 9.5 minutes per mile
As 9.5 * 4 = 38 minutes
Enjoy ;)
PLEASE HELP 2 QUESTIONS 45 POINTS!!!!!!!!!
1. (4x + 2)(-2x - 3)
Answer (in Standard Form) =
a =
b =
c =
2. (2x + 1)(2x - 1)
Answer (in Standard Form) =
a =
b =
c =
Answer:
1. -8x² - 16x - 6 a = -8, b = -16, c = -6
1. 4x² - 1 a = 4, b = 0, c = -1
Step-by-step explanation:
use the 'foil' method:
(4x + 2)(-2x - 3)
F: -8x² O: -12x I: -4x L: -6
-8x² - 16x - 6
(2x + 1)(2x - 1)
F: 4x² O: -2x I: 2x L: -1
4x² - 1
Reena’s plan was to drive from Boston to Chicago in 20 hours at an average speed of 50mph. Instead, she drives at an average speed of 60mph for the first 5 hours and at an average of 50mph for the remainder of the trip. How much earlier did Reena arrive in Chicago than she originally planned?
PLEASE GIVE BRAINLIEST !
I hope this helps :)
thank you and have a good day
Answer:
She would arrive 1 hour earlier than originally planned
Step-by-step explanation:
20 times 50 = 1000
this is the number of miles that Reena would travel at the speed of 50 mph for 20 hours.
If she drives 60 mph for the first 5 hours, she has so far driven 300 miles. if she travelled 50 mph for the remained of the trip, we can figure out the amount of time she spent in this period by diving the remainder of 1000 - 300 = 700 by 50.
700/50 = 14
14 + 5 = 19
20 - 19 = 1
The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.7. (a) What are the mean and standard deviation of the average number of moths x in 60 traps? (b) Use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4
The probability that the moderate number of moths in 60 traps is more significant than 0.4 is approximately 0.9738 or 97.38%.
(a).
The mean number of moths = 60 traps
Now, the properties of normal distribution and central limit theorem are used.
mean of the individual moth counts = 0.5.
The standard deviation = the Standard deviation of the individual moth counts, divided by the square root of the sample size.
standard deviation = (0.7 / \(\sqrt{60}\))
standard deviation = 0.0905
the mean number of moths and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905.
(b) .
By using the central limit theorem
The average number of moths in 60 traps = 0.4
The z-score formula is to be calculated by using:
Z = (sample mean - population mean) / (standard deviation/sqrt (sample size))
Substituting the given values, we have:
Z = (0.4 - 0.5) / (0.7 / sqrt(60))
Z = -1.94
The probability of a Z-score greater than -1.94 is approximately 0.9738.
Hence, we can conclude that the probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738.
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Ligers are a cross between lions and tigers. They exist only in zoos because lions and tigers do not live together in the wild.
Which is a reason why lions and tigers are considered separate species?
Lions and tigers do not look alike.
Ligers cannot reproduce.
Lions and tigers cannot reproduce.
Ligers are found only in zoos.
Answer:
b Ligers can't reproduce.
Step-by-step explanation:
just took the text
Answer:
its B
Step-by-step explanation:
its 100% sure