Answer:
y<4
Step-by-step explanation:
y<4
Every y is less than 4, for all values of x that are shown.
y=(x+1)(x-3) plot the x-intercept of the function
Answer:
The two x-intercepts are (-1, 0) and (3, 0).
Step-by-step explanation:
Set each factor = to 0 and solve for x:
x + 1 = 0 => x = -1. One x-intercept is thus (-1, 0).
x - 3 = 0 => x = 3. The other x-intercept is (3, 0).
What does line segment AB represent?
Line segment AB is a straight line connecting two distinct points, A and B, on a plane. It has a start point (A) and an endpoint (B) and can be measured by its length.
Line segment AB is a straight line that connects two distinct points, A and B, on a plane. It is the shortest distance between two points, and is always a straight line. A line segment can be measured by its length, which is the distance between its start point (A) and its endpoint (B). It can also be measured by its midpoint, which is the point on the line that is equidistant from both A and B. Line segments can be used to create many different shapes and figures, such as triangles and polygons. Line segments can also be used to measure distances on a map, or to illustrate a path from one location to another. Line segment AB can be used to represent any two points on a plane, and is a fundamental building block of geometry.
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Which is cheaper 6 donuts for 6 dollars or 12 donuts for 10 dollars
Answer:
6 donuts.
Step-by-step explanation:
Think of it as an individual product, the donut.
6 donuts for 6 dollars, make each donut cost 1 dollar.
But for 12 donuts for 10 dollars, make each donut cost 1.2 dollars.
So, it's cheaper to buy 6 donuts with 6 dollars.
(a) z = -1.18 for a left tail test for a mean Round your answer to three decimal places. p-value = i eTextbook and Media Hint (b) z = 4.17 for a right tail test for a proportion Round your answer to three decimal places. p-value = i e Textbook and Media Hint (c) z=-1.53 for a two-tailed test for a difference in means Round your answer to three decimal places. p-value = i
1) he p-an incentive for this left tail test is roughly 0.119.2) the p-an incentive for this right tail test is roughly 0.(3)the two-tailed test's p-value is approximately 0.126.
(a) For a left tail test for a mean with z = - 1.18, we can find the p-esteem by looking into the relating region under the standard ordinary bend.
Using statistical software or a standard normal distribution table, we can determine that the area to the left of z = -1.18 is approximately 0.119.
Hence, the p-an incentive for this left tail test is roughly 0.119.
(b) For a right tail test for an extent with z = 4.17, we can find the p-esteem by tracking down the region to one side of z = 4.17 under the standard ordinary bend.
Using statistical software or a standard normal distribution table, we discover that the area to the right of z = 4.17 is very close to zero.
Hence, the p-an incentive for this right tail test is roughly 0.
(c) For a two-followed test for a distinction in implies with z = - 1.53, we really want to track down the area in the two tails of the standard typical bend.
Utilizing a standard typical dissemination table or a measurable programming, we track down that the region to one side of z = - 1.53 is roughly 0.063. The area to the right of z = 1.53 is also approximately 0.063, as it is a symmetric distribution.
To find the p-an incentive for the two-followed test, we aggregate the areas of the two tails: The p-value is 0.126, or 2 x 0.063.
As a result, the two-tailed test's p-value is approximately 0.126.
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There are about 2. 54 centimeters in 1 inch. If a segment is 2. 7 centimeters long, how many inches is it, rounded to the nearest hundredth?.
When there are approximately 2. 54 centimeters in 1 inch, a section that is 2. 7 cm long equals 1.063 inch.
What is division?One of the four fundamental arithmetic operations, or how numbers are joined to create new numbers, is division. The other operations are multiplication, addition, and subtraction. Division in mathematics is the process of dividing an amount into equal pieces. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The division sign, "÷" or occasionally "/," is used in computer code.
Here,
1 inch has 2.54 cm
x inch has 2.70 inch,
1/2.54=x/2.7
x=2.7/2.54
x=1.063 inch
If a segment is 2. 7 centimeters long, it is 1.063 inch when there are about 2. 54 centimeters in 1 inch.
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Solve for x if 523x = 523.
please
Answer:
x = 1
Step-by-step explanation:
523x = 523
Divide each side by 523 to get the x alone
523/523 = 1
Answer:
x=1
Step-by-step explanation:
To get x by itself you need to divide 523 by the other side of the equal sign so divide 523 by 523 which is 1.
Books front a certain publisher contain an average of 1 misprint per page. What is the probability that on at least one page?
The probability for at least 1 page is 0.667 .
Probability is the department of arithmetic concerning numerical descriptions of the way likely an event is to occur, or how probable it is that a proposition is actual. The probability of an event is a number between 0 and 1, where, roughly speaking, zero shows the impossibility of the event, and 1 suggests truth.
Possibility = the wide variety of methods of achieving success. The whole wide variety of possible outcomes. As an example, the opportunity of flipping a coin and its being heads is ½ because there's 1 way of having a head and the total quantity of viable outcomes is 2 (a head or tail). We write P(heads) = ½.
The form opportunity is from old French probability (14 c.) and at once from Latin probabilities (nominative probabilitas) "credibility, possibility," from probabilistic (see likely). The mathematical sense of the time period is from 1718.
As there's an average of 1 misprint in line with the web page, the possibility of a minimum of 5 misprints is 1 - P(0, 1, 2, 3, or 4 misprints)
P(0) = e-1/0!
P(1) = e-1/1!
P(2) = e -1/2!
P(3) = e-1/3!
P(4) = e-1/4!
P(0, 1, 2, 3, or 4 misprints) = e-1(1 + 1 + half of + 1/6 + 1/24) = 2 17/24 e-1 = .99634
Then, P(5 or more misprints) is 1 - .99634 = .00366
Then, the P(at the least 1 page in a 300-page ebook has at least 5 misprints) = 1 - P(0 pages have at least 5 misprints).
P(0 pages have at the least 5 misprints) = P(300 of 300 pages have 0, 1, 2, 3, or 4 misprints) =.99634 300
(you could view this as C(300, 300) p300 in case you desire) = 0.332881690573629
Then, P(1 or greater pages have at least 5 misprints) = 1 - 0.332881690573629 = 0.667118309426371
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john's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5.1 minutes. what is the probability that the commute time for a randomly selected day will be less than 18 minutes? group of answer choices
The probability that the commute time for a randomly selected day will be less than 18 minutes is calculated to be 0.0455 or 4.55%.
We can use the standard normal distribution to answer this question. We first need to standardize the commute time using the formula:
z = (x - μ) / σ
where x is the commute time we are interested in, μ is the mean commute time, and σ is the standard deviation of commute time.
Plugging in the values given in the problem, we get:
z = (18 - 26.7) / 5.1 = -1.69
Using a standard normal distribution table or a calculator, we can find that the probability of a z-score being less than -1.69 is approximately 0.0455.
Therefore, the probability that John's commute time for a randomly selected day will be less than 18 minutes is about 0.0455 or 4.55%.
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The complete question is :
How is the probability calculated for the commute time being less than 18 minutes, given that the mean commute time is 26.7 minutes and the standard deviation is 5.1 minutes? How is the standard normal distribution used to calculate this probability, and what is the resulting probability expressed as a percentage?
I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS
What is the x-value in the solution to this system of linear equations? 2x − y = 11 x + 3y = −5 −3 −1 2 4
Answer:
x = 4Step-by-step explanation:
2x − y = 11 ⇒ -y = - 2x +11 ⇒ y = 2x - 11
x + 3y = -5
x + 3(2x - 11) = -5
x + 6x - 33 = -5
+33 +33
7x = 28
÷7 ÷7
x = 4
Answer: 4
Step-by-step explanation:
credits the guy uptop
-2(-1x + 5y) + 3(2x - 6y) Use distributive property and combine like terms to solve *
Answer:
8x - 28y
Step-by-step explanation:
-2(-1x + 5y) + 3(2x - 6y)
2x - 10y + 6x - 18y
collect like terms
2x + 6x - 10y - 18y
8x - 28y
Identify the domain and range of the function below.
Domain
Range
Answer:sry
Step-by-step explanation:
In statistical process control, when a point falls outside of control limits, the probability is quite high that the process is experiencing _____________ .
A. common cause variation
B. student t variation
C. a reduction of variables
D. special cause variation
When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.
In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.
On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.
When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.
Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.
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The points (7, 10) and (5, 6) fall on a particular line. What is its equation in slope-intercept form?
Answer:
y=2x-4
slope=10-6/7-5
=2
y-10=2(x-7)
y=2x-4
One may wonder if people of similar heights tend to marry each other. For this purpose, a sample of newly married couples was selected. Let X be the height of the husband and Y be the height of the wife. The heights (in centimeters) of husbands and wives are found in Table 2.11. The data can also be found at the book's Website. (e) What would the correlation be if every man married a woman exactly 5 centimeters shorter than him?
On solving the provided query we have As a result, in the given sample, there is a 0.861 correlation between the heights of the husbands and wives.
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
The sample correlation coefficient formula may be used to determine the correlation between X and Y in the given sample:
r is equal to (nXY - XY) / sqrt((nX2 - (X)2)(nY2 - (Y)2)
where n is the sample size, XY is the product of X and Y's sum, X and Y's sums, X and Y's square sums, and X and Y's square sums are all present.
We may get the sample correlation coefficient by using the information in Table 2.11 as follows:
n = 10
r = (10296510 - 17491602) / sqrt((10313821 - 1749^2)(10*282852 - 1602^2))
= 0.861
As a result, in the given sample, there is a 0.861 correlation between the heights of the husbands and wives.
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Phalicia is a senior at North HS and wants to begin saving for college. She's trying to choose between two savings account options.
Option 1: Phalicia deposits $300 and deposits an additional $50 each month.
Option 2: Phalicia deposits $5 and it triples each month.
Which option should she choose
Answer:
Option 2
Step-by-step explanation:
Let's say that Phalicia opens her savings account one year (12 months) before she goes to college.
With Option 1, she would have saved 300 + 50 * 11 = $850. We do 50 * 11 and not 50 * 12 because she deposits $50 for 11 months, not 12.
With Option 2, she would have saved 5 * 3¹¹ = $885735. Note that we do 3¹¹ and not 3¹² because 5 is being tripled 11 times.
Obviously, she should choose Option 2 because she saves A LOT more money.
Additionally, we can notice that Option 1 is an example of an arithmetic sequence whereas Option 2 is an example of a geometric sequence. Their explicit formulas would be aₙ = 50n + 250 and aₙ = 5 * 3⁽ⁿ⁻¹⁾ respectively.
I will mark you brainiest and I will gave you 100 points to answer the question correctly A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
I try C,D,E but I got wrong.
Answer:
It is unlikely the point is in region A.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
Step-by-step explanation:
Hope it helps!
the red means it’s wrong, but please help me
The equation with infinitely many solutions is given as follows:
a. 3 - 4x = -6(2x/3 - 1/2).
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.A system of equations will have infinitely many solutions when the slope and the intercept for the two functions is the same.
Hence this is true for option a, as:
-6(2/3x - 1/2) = -12x/3 + 6/2 = -4x + 3.
Which is equals to the left side of the equality.
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Isaac owns a home, has a bi-weekly gross income of $1,925. 00,
and has total minimum monthly debt payments of $3,915. 0.
Choose the inequality that shows the minimum amount Isaac
needs to reduce his monthly debt payments by to have a debt-to-
income ratio of 35%.
x≤ $1,459. 79
x ≥ $1,459. 79
x≤ $2,455. 21
x ≥ $2,455. 21
The inequality that shows the minimum amount of Isaac is x ≥ $2,455.21
What is inequality?
An inequality is a mathematical statement that compares two expressions and expresses the relationship between them. It is represented by a symbol such as ">", "<", "≥", or "≤" and can be thought of as a generalization of an equation.
First, we need to find Isaac's monthly gross income. Since he has a bi-weekly gross income of $1,925, we can calculate his monthly gross income as follows:
Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33
The debt-to-income ratio is the ratio of monthly debt payments to monthly gross income, expressed as a percentage.
We want to find the minimum amount by which Isaac needs to reduce his monthly debt payments to have a debt-to-income ratio of 35%.
So we can set up the following inequality:
Minimum monthly debt payments / Monthly gross income ≤ 35% / 100%
Substituting the given values, we get:
$3,915 / $4,158.33 ≤ 0.35
Simplifying this inequality, we get:
0.9407 ≤ 0.35
This inequality is not true, so we made an error in our calculations. Let's check the calculation of monthly gross income. We should have:
Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33
This calculation is correct. The problem is that the minimum monthly debt payments of $3,915 are already higher than what is allowed by the debt-to-income ratio of 35%. In fact, the maximum monthly debt payments Isaac can have to satisfy the 35% debt-to-income ratio is:
Maximum monthly debt payments = Monthly gross income x 35% = $4,158.33 x 35% = $1,454.92
Therefore, the minimum amount by which Isaac needs to reduce his monthly debt payments is:
$3,915 - $1,454.92 = $2,460.08
Rounding this to two decimal places, we get $2,460.09, which is closest to the fourth option:
x ≥ $2,455.21
Hence, the inequality that shows the minimum amount of Isaac is x ≥ $2,455.21
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Factor out the common factor of 3a. 15a^(9/4) - 21a^(9/2) 15a^(9/4) - 21a^(9/2) = 3a (口)
common factor 15a^(9/4) - 21a^(9/2) = 3a(5a^(5/4) - 7a^(7/2))
To factor out the common factor of 3a from 15a^(9/4) - 21a^(9/2), we need to find the highest power of a that is a common factor of both terms. In this case, that is a^(9/4).
To factor out 3a, we divide both terms by 3a, which gives us:
15a^(9/4) / (3a) - 21a^(9/2) / (3a)
Simplifying this expression gives:
5a^(9/4) - 7a^(9/2)
So the common factor of 3a has been factored out, and the remaining expression is 5a^(9/4) - 7a^(9/2).
To factor out the common factor of 3a from the given expression 15a^(9/4) - 21a^(9/2), you need to divide each term by 3a:
15a^(9/4) / 3a = 5a^(5/4)
21a^(9/2) / 3a = 7a^(7/2)
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The length of each edge of a cube is x centimeters. If xis an integer, why is the volume of the cube not equal to 15 cmº? show work please i want to understand:)
Apparently, there is a typing mistake in the statement of the question:
The length of each edge of a cube is x centimeters. If xis an integer, why is the volume of the cube not equal to 15 cm squared? show work please i want to understand:)
The answer is:
Because the units of volume are cm^3, or m^3, not cm^2 nor m^2.
The measure of the volume is cm * cm * cm, meanwhile the area is cm * cm.
Student became unresponsive.
6 identical bags and 3 identical shirts cost 126. 3 such bags cost as much as 2 shirts. what is the cost of one such shirt ?
Answer:
18
Step-by-step explanation:
Write the information algebraically:
6b + 3s = 126
3b = 2s
(b = bags, s = shirts)
The second line in bold means that we can replace 6b with 4s
3b = 2s (multiply both sides by 2)
∴ 6b = 4s
so, 4s + 3s + 126
Now simplify:
7s = 126
We can now find s by dividing both sides by 7:
s = 126 ÷ 7 = 18
1 shirt costs 18
write a function calculatenum that takes one integer parameter and returns the parameter minus 3. ex: calculatenum(3) returns 0.
The function `calculatenum` subtracts 3 from the input parameter `num` and returns the result.
What is an integer?Counting numbers (positive and negative), together with zero, are grouped together as integers because they may be written without a fractional component.
Here's a Python function called `calculatenum` that takes an integer parameter and subtracts 3 from it:
def calculatenum(num):
"""
Subtracts 3 from the given parameter.
Parameters:
num (int): The integer value to be subtracted from.
Returns:
int: The result of subtracting 3 from the given parameter.
"""
result = num - 3
return result
The calculatenum function takes one integer parameter called num and subtracts 3 from it. It then returns the result of the subtraction. For example, if you call calculatenum(3), it will return the value 0, since 3 - 3 equals 0.
The function `calculatenum` subtracts 3 from the input parameter `num` and returns the result.
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Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer
YES
Step by step Explanation
Answer:
There is not information given to assume the triangles are congruent.
Step-by-step explanation:
You can tell if two triangles are congruent by any of the following rules:
Three sides are congruent (SSS),
Two angles and a side in between are congruent (ASA)
Two sides and an angle in between are congruent (SAS)
Two angles and a side connected to one of those angles are congruent (AAS)
Note: SSA (Two Sides & One Angle) does not work. I good way to remember is that it spells a bad word backwards :)
In this case, there are only two sides given, but there aren't any angles, so there is not enough information to conclude if they are congruent or not.
george flips an unfair coin $7$ times. the coin has a $\frac{1}{4}$ probability of coming up heads and a $\frac{3}{4}$ probability of coming up tails. what is the probability that he flips exactly $2$ tails?
The probability of getting exactly 2 tails in 7 flips of a coin with a probability of tails being 3/4 is 189/16384 or approximately 0.0115.
We can use the binomial distribution formula to solve this problem. Let X be the number of tails that come up in 7 flips of the coin. Then X follows a binomial distribution with n = 7 and p = 3/4 (since the probability of tails is 3/4).
The probability of getting exactly 2 tails is given by:
P(X = 2) = (7 choose 2) * (3/4)^2 * (1/4)^5
= (21 * 9/16 * 1/1024)
= 189/16384
So the probability that George flips exactly 2 tails is 189/16384, or approximately 0.0115.
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Find the volume of the cylinder. Use 3.14 for . Round your answer to the nearest tenth
8in
10in
a.502.4 in3.
b.125.6 in3.
c.2009.6 in3.
d.251.2 in3.
Answer:
the answer would be A
Step-by-step explanation:
Answer:
answer is a
Step-by-step explanation:
I just answer it on edge
Identify the vertex of the graph. Tell whether it is a minimum or a maximum
Answer:
vertex : (3, -3)
maximum
The radius of the circle is something the length of its diameter
Answer:
radius of a circle is half of its diameter
In the method of proof, the rules are not used jointly but are applied one at a time and once per line. Group of answer choices True False
The given statement "In the method of proof, the rules are not used jointly but are applied one at a time and once per line" is True.
In a proof, each step must be justified by a logical rule or principle. These rules are not applied all at once, but rather one at a time and in a specific order. This allows for a clear and organized progression of the proof, and ensures that each step is based on a sound and valid reasoning.
For example, in a proof by contradiction, we assume the opposite of what we want to prove and then show that this assumption leads to a contradiction. In each step of the proof, we apply a logical rule or principle, such as the law of non-contradiction or the transitive property of equality.
By applying the rules one at a time and once per line, we can carefully follow the logical reasoning and ensure that the proof is valid. If we were to apply multiple rules at once or skip steps, the proof could become muddled and the validity of the argument could be called into question. Therefore, it is important to use the rules of logic in a methodical and systematic way when constructing a proof.
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Find the value of x,y,z.
What is value of x,y,z.
Answer:
\(x=7\\y=128\\z=128\)
Step-by-step explanation:
Value of x:-
Form an equation:
\(4x+24=7x+3\) {opposite / vertical angles are equal}
Subtract 7x from both sides:
\(4x+24-7x=7x+3-7x\)
\(-3x+24=3\)
Subtract 24 from both sides:
\(-3x+24-24=3-24\)
\(-3x=-21\)
Divide both sides by -3
\(-3x/-3=-21/-3\)
\(x=7\)
Value of y and z:-
Value of x is 7 so replace x in the equations:
\(4(x)+24=52\\7(7)+3=52\)
Now that we have the value of x, its easy to find y and z
\(52+52+y+z=360\)
{complete circle makes 360°}
\(104+y+z=360\)
\(y+z=360-104\)
\(y+z=256\)
Divide 256 by 2 to get value of each variable:
vertically opposite angles (y & z) are equal
\(256/2 = 128\)
\(y=128\\z=128\)
∴ CHECK: 128 + 128 + 52 + 52 = 360°
hope this helps...
Answer:
X=7
Y and Z = 128
Step-by-step explanation:
7X+3=4X+24
it is equal coz by the opposite angle
find the value of X
7x+3=4x+24--------------collect like term
3x=21----------divided by 3
x=7
then 7x+3=52
4x+24=52
SR is the line that measure 180°
that means (7x+3)+Z=180°
use the value of X into the equation
Z=180-52
Z=128
it means Z and Y are equal so Y= 128