Two distinct lines are said to be parallel if they have no point of intersection. true or false..
Answers
Two distinct lines are said to be parallel if they have no point of intersection. This statement is true.
A line is a straight figure that continues infinitely in both directions. It has no endpoints. The term "parallel lines" is used to describe two or more lines that do not intersect. When we draw parallel lines, they seem to be straight and never touch each other. Therefore, the two distinct lines are said to be parallel if they have no point of intersection and the statement is true.
A line is a boundlessly lengthy item with no width, profundity, or shape. Lines can be embedded in spaces of two, three, or higher dimensions, but they are one-dimensional objects. The word line may likewise allude to a line fragment in regular day to day existence, which has two focuses to mean its closures.
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Related Questions
Is 4.5 equal to...
-nine-halves
-thirty-one eighths
-thirteen-fourths
Answers
Answer:
Step-by-step explanation:
4.5 is equal to nine halves because if you divide 9 you get 4.5
Answer:
it's equal to nine halves
seventy-two percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. of the aircraft that are discovered, 63% have an emergency locator, whereas 84% of the aircraft not discovered do not have such a locator. suppose a light aircraft has disappeared. if it has an emergency locator, what is the probability that it will be discovered? (round your answers to three decimal places.)
Answers
The probability that a light aircraft with an emergency locator, which has disappeared, will be discovered is 0.894.
Let A be the event that the aircraft is discovered, and B be the event that the aircraft has an emergency locator. We are given that P(A|B') = 0.28, P(B|A) = 0.63, and P(B'|A') = 0.84, where B' and A' denote the complements of B and A, respectively.
We want to find P(A|B), the probability that the aircraft is discovered given that it has an emergency locator. By Bayes' theorem,
P(A|B) = P(B|A)P(A) / P(B)
We can find P(A) and P(B) using the law of total probability:
P(A) = P(A|B)P(B) + P(A|B')P(B') = 0.63 * (1 - 0.72) + 0.28 * 0.72 = 0.3264
P(B) = P(B|A)P(A) + P(B|A')P(A') = 0.63 * 0.72 + 0.16 * (1 - 0.72) = 0.4656
Now, we can substitute these values into the first equation to get:
P(A|B) = 0.63 * (1 - 0.72) / 0.4656 = 0.894
Therefore, the probability that a light aircraft with an emergency locator, which has disappeared, will be discovered is 0.894.
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An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall. The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°
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The length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.
What is the law of sine?The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
It can be given as,
\(\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)
Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.
An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall.
The figure of the problem is attached below. The length of AB which is L has to be find out.
The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°. Thus, the angle ABC is 30 degrees.
\(AB=90-60\\AB=30^o\)
The sum of all the interior angle is 180 degree. Thus, the angle ACB is,
\(\angle ACB=180-50-30\\\angle ACB=100^o\\\)
Let suppose, the length of AB is a. Thus, by the sine law,
\(\dfrac{\sin 30}{a}=\dfrac{\sin 100}{88}\\a=\dfrac{88\times\sin 300}{\sin 100}\\a=447\rm\; in\)
Thus, the length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.
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Bernardo originally had 48 customers on his paper route. Through a newspaper sales promotion, his customer base increased to 56. What was the percentage of increase over the original number of customers?
Answers
Answer: 16.6667
Step-by-step explanation:
(48 × p) / 100 = 8
((48 × p) / 100) × 100 = 8 × 100
48p = 800
48p / 48 = 800 / 48
p = 16.6666666666667
Percent Increase ≈ 16.6667
point e. is located 7 units to the left and 4 units above point d. what is the ordered pair?
Answers
The ordered pair for point e, which is located 7 units to the left and 4 units above point d, is (-5, 6).
To determine the ordered pair for point e, we start with the ordered pair for point d and apply the given translation. Since e is 7 units to the left of d, we subtract 7 from the x-coordinate of d (-2 - 7 = -9). Since e is 4 units above d, we add 4 to the y-coordinate of d (3 + 4 = 7). Therefore, the ordered pair for e is (-9,7).
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what type of problem is 5-(-3)?
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Maybe I could add a little more explanation
hope this help lol if not I’m sorry
solve for the rate (as a %). round to the nearest tenth of a percent when necessary. what is the rate if the base is $23,500 and the portion is $6,227.50?
Answers
Rate of the given base $23,500 and the portion $6227.50 is equal to 26.5 percent ( nearest tenth ).
As given in the question,
Given base of the required rate is equal to $23,500
Portion of the given base used is equal to $6227.50
Formula to calculate the rate percent is given by :
Rate percent = [(Portion of the given base used) / ( Base) ] × 100
Substitute the value in the formula we get,
⇒ Rate percent = ( 6227.50 / 23,500 ) × 100
⇒ Rate percent = 26.5%
Therefore, rate percent of the given base and the portion used is equal to 26.5%.
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Calculate the standard deviation of the expected dollar returns for Ditto Copier Center, given the following distribution of returns: Probability Return 0.2 $50 0.5 $20 0.3 -$15
a. $36.0 b. $23.0 c. $18.0 d. $13.0 e. $30.0
Answers
The standard deviation of the expected dollar returns for Ditto Copier Center is approximately, "$23.0".
To calculate the standard deviation of the expected dollar returns, we need to first calculate the expected return, or mean, of the distribution. This can be found by multiplying the probability of each return by the return itself and then summing the results:
Expected Return = (0.2 x $50) + (0.5 x $20) + (0.3 x -$15) = $10
Next, we need to calculate the variance of the distribution, which measures the spread of the data. The variance is calculated by taking the sum of the squared differences between each return and the expected return, weighted by their respective probabilities:
Variance = (0.2 x ($50 - $10)^2) + (0.5 x ($20 - $10)^2) + (0.3 x (-$15 - $10)^2) = $950
Finally, the standard deviation is found by taking the square root of the variance:
Standard Deviation = √($950) ≈ $30.8
Rounding to one decimal place gives us the final answer of approximately $23.0. Therefore, the correct answer is option (b), $23.0
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A realty company conducted a recent sample of houses that have sold. On testing the null hypothesis that 50% of the houses take more than three months to sell against the hypothesis that more than 50% of the houses take more than three months to sell, they find a P-value of 0.034. Which of these conclusions is appropriate?a) There's a 3.4% chance that 50% of the houses take more than three months to sell.b) If 50% of the houses take more than three months to sell, there is a 3.4% chance that a random sample would produce a sample proportion as high as the one they are obtained.c) There is a 3.4% chance that the null hypothesis is correct.d) There's a 96.6% chance that 50% of the houses take more than three months to sell.
Answers
b) If 50% of the houses take more than three months to sell, there is a 3.4% chance that a random sample would produce a sample proportion as high as the one they are obtained.
In this case, the null hypothesis is that 50% of the houses take more than three months to sell. The alternative hypothesis is that more than 50% of the houses take more than three months to sell. The P-value of 0.034 indicates that there is a 3.4% chance of observing a sample proportion as high as the one obtained, assuming that the null hypothesis is true.
Therefore, if the null hypothesis is true, it is unlikely that the sample data would result in a P-value as low as 0.034. This suggests that there is strong evidence against the null hypothesis and in favor of the alternative hypothesis, which is that more than 50% of the houses take more than three months to sell.
the P-value helps to determine the significance of the results of a hypothesis test and supports the decision of accepting or rejecting the null hypothesis.
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what's 100,994 rounded to the nearest 100?
Answers
Answer: 101000
Step-by-step explanation: It would be rounded to 101000 because the nearest 100 would be a 1000.
Answer: 111,000 because when you round 994 you get a thousand because that’s the next hundred so you get 111,000
Step-by-step explanation:
pls help ill mark brainliest and 25 points
Answers
Answer:
The trees.
Step-by-step explanation:
IXL huh? just get it wrong, it doesn't matter. Also read the question more carefully. He's using white for the bushes, so it is going to be lighter
HELP. Rewrite the following polynomial in standard form
Answers
Which expression is equivalent to (x23)32
Answers
Answer: 32x exponent 23
Step-by-step explanation:
The expression (x²³)³² is equivalent to the expression x⁷³⁶. Then the correct option is D.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ (x²³)³²
We know that if \(\rm \left ( n ^{a} \rigth )^{b} = n^{a \times b}\), then we have
\(\rm \rightarrow \left (x^{23} \right ) ^{32}\\\\\rightarrow \left (x \right ) ^{23 \times 32}\)
Simplify the expression, then the expression will be given as,
⇒ x⁷³⁶
The expression (x²³)³² is equivalent to the expression x⁷³⁶. Then the correct option is D.
The complete question is given below.
Which expression is equivalent to (x²³)³²?
A. x⁵⁵
B. x⁷⁶⁸
C. x⁶⁶
D. x⁷³⁶
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PLEASE HELP!!! BRAINLIEST FOR FIRST
Find the length of k ____
Answers
Answer:
K=3
Step-by-step explanation:
I think so, if I’m wrong I’m sorry
Answer:
Step-by-step explanation:
\(\frac{9}{12}\) = \(\frac{k}{k+4}\)
12k = 9(k + 4)
12k - 9k = 36
3k = 36
k = 12
Which of the following equations is parallel to, but not the same as, the line that passes through
the points (2, 1) and (6, -1)?
(1) y = 1/2x - 2
(2) y-1 = -1/2(x - 2)
(3) y + 1 = -1/2(x + 6)
(4) y = 1/2x-1
Answers
9514 1404 393
Answer:
(3) y + 1 = -1/2(x + 6)
Step-by-step explanation:
The slope of the line between the two points can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -1)/(6 -2) = -2/4 = -1/2
Then the point-slope form of the equation of the line through the given points can be written as either of ...
y -1 = -1/2(x -2)
y +1 = -1/2(x -6)
We note that only choices (2) and (3) have slopes of -1/2, so are parallel. Choice (2) matches the first equation above, so is the identical line, not one that is parallel.
Choice (3) matches neither of the equations of the line through the given point, so that is the choice of interest.
Generally, one gallon of paint can cover 350 ft².
How many gallons would be required to cover a wall that measures 144 ft2? "Round your answer to the correct number
of significant figures.
Answers
0.41 gallons of paint (rounded to two significant figures).
This is calculated by dividing the area of the wall (144 ft²) by the area that one gallon of paint can cover (350 ft²), which gives us:
144 ft² ÷ 350 ft²/gallon = 0.4114285714 gallons
We then round this number to two significant figures, which gives us 0.41 gallons.
FIRST CORRECT ANSWER GETS BRANLIEST PLEASE HELP!!!! PHOTO ABOVE
Answers
Answer:
Step-by-step explanation:
The Pythagorean theorem is that (for right triangles)
a^2+b^2=c
Meaning c is the side opposite the right angle
Hope this helps!
for a 95% confidence interval, you want to create a population proportion with a margin of error of no more than 0.025. how large of a sample would you need?
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You would need a sample size of 384 in order to create a population proportion with a margin of error of no more than 0.025 and a 95% confidence interval.
In order to calculate the sample size needed for a 95% confidence interval with a margin of error of no more than 0.025, the formula to use is the following:
\(n = (z-score)^2 * p * (1-p) / (margin of error)^2\)
Where n = sample size, z-score = 1.96 (for 95% confidence interval), p = 0.5 (the expected population proportion) and margin of error = 0.025.
Substituting these values into the equation, we get:
\(n = (1.96)^2 * 0.5 * (1 - 0.5) / (0.025)^2\\n = 384\)
Therefore, you would need a sample size of 384 in order to create a population proportion with a margin of error of no more than 0.025 and a 95 % confidence interval.
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For a=3 simply a2 +5a +4 and a2 -5a
Answers
Answer:
\(a2 + 5a + 4 \: \: when \: a = 3 \\ = (3)2 + 5(3) + 4 \\ \\ = 6 + 15 + 4 \\ = 25\)
\(a2 - 5a \: \: when \: a = 3 \\ = (3)2 - 5(3) \\ = 6 - 15 \\ = - 9\)
which equation represents a line parallel to y= -2x+9
Answers
The equation of the parallel line is:
y = -2x + k
such that k ≠ 9.
How to represent the parallel line?
We know that two linear equations are parallel if they have the same slope and different y-intercept.
Then, a parallel line to:
y = -2x + 9
Would be something of the form:
y = -2x + k
such that k ≠ 9.
Then, for example:
y = -2x + 3
Is parallel to the given line.
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Write an equation of the parabola shown.
Answers
Step-by-step explanation:
General equation of a parabola parallel to the x-axis: (y - k)^2 = 4p(x - h).
Vertex = (h, k) = (0, 0)
Directrix: x = h - p = -2.
Since h and k are 0, p must be 2.
Therefore the equation is y^2 = 8x.
Mr. Hepworth bought a new refrigerator for $975 after a 25% discount, how much did the refrigerator cost originally?
Answers
Answer:
954
Step-by-step explanation:
Answer:
1218.75
Step-by-step explanation:
25% of $975 = 243.75
Discounted price + Discount = Original Price
$975 + 243.75 = 1218.75
Find the value of the following:1) Sin 70 =2) cos 65 =3) tan 55 =
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The values are shown below.
\(\begin{gathered} \sin 70\approx0.94 \\ \cos 65\approx0.42 \\ \tan 55\approx1.43 \end{gathered}\)...........................
Answers
Answer:
....................... What's the question?
help is highly appreciated
Answers
Answer:
Step-by-step explanation:
2-(-1\8)±-7\4 then
2 plus 1\8 plus -7\4
2 plus 1\8 plus -14\8
2 -13\8
2= 16/8
3\8?
Answer:
3/8
Step-by-step explanation:
Substitute given information into given equation
b=2, c=-7/4
2-(-1/8) + - 7/4
Make 2 into 16/8 (by multiplying it by 8/8 To make denominator the same)
16/8 -(-1/8) + -7/4
17/8 (Because when negative and negative will make positive)
17/8+ -7/4
Make -7/4 into -14/8 (by multiplying it by 2/2 To make denominator the same)
17/8 -14/8 (Because negative and positive will make negative)
3/8 is the final answer
I hope this helps, dont hesitate to ask for any question.
Mark me as brainliest is appreciated.Tq!!
3) Determine if the coordinate represents a solution for the system of equations. Show your work in order to justify your answer. (3,-1) y=-2x+5 x-4y=6
Answers
The left-hand side and right-hand side of the equation are not equal when\(x=3\) and \(y = -1\), so (3,-1) is not a solution of equation.
What is equation?An equation is a mathematical statement that shows the equality between two expressions, often with an unknown variable. It can be solved to find the value of the variable that satisfies the equation.
Coordinates are pairs of numbers that represent the position of a point in a two-dimensional or three-dimensional space. They are often expressed as (x, y) or (x, y, z) and used in geometry and mapping.
According to the given information:
To determine if the coordinate \((3,-1)\) represents a solution for the system of equations:
\(y = -2x+5\) ...........(\(1\))
\(x-4y = 6\) ...........(\(2\))
We can substitute the given coordinate \((3,-1)\) into the two equations and see if both equations are true when \(x= 3\) and \(y = -1\).
Substituting \(x=3\) and\(y = -1\) into equation (\(1\)):
\(y = -2x+5\\-1 = -2(3) +5\\-1= -1\)
The left-hand side and right-hand side of the equation are equal when \(x =3\) and \(y = -1\), so \((3,-1)\) is a solution of equation (\(1\)).
Substituting x = 3 and y = -1 into equation (2):
\(x-4y = 6\\3 - 4(-1) = 6\\3 + 4 = 6\)
\(7\) ≠ \(6\)
Therefore the left-hand side and right-hand side of the equation are not equal when\(x=3\) and \(y = -1\), so (3,-1) is not a solution of equation.
Since \((3,-1)\) does not satisfy both equations simultaneously, it is not a solution of the system of equations
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sarah is creating a triangular birthday card for her teacher. in order to glue lace around the outside of the card, sarah needs to know the length of each side. she knows that two of the sides measure 4 inches and 9 inches. if the length of the third side is x inches, which inequality is true?
Answers
To find the length of the third side of the triangular birthday card, Sarah can use the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
In other words, 4 + 9 > x, so 4 + 9 > x is the inequality that is true.
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side. This means that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This theorem is useful for determining the possible lengths of the sides of a triangle, as well as for proving that a set of three lengths cannot form a triangle.
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Find the gradient of the line with equation Y=3-x
Answers
Step-by-step explanation:
Gradient = Coefficient of x = -1.
How many possible outcomes are in the sample space if the spinner shown is spun twice?
Answers
There are 225 possible outcomes in the sample space if the spinner is spun twice
How many possible outcomes are in the sample spaceFrom the question, we have the following parameters that can be used in our computation:
Spinner
The number of sections in the spinner is
n = 15
If the spinner shown is spun twice, then we have
Outcomes = n²
Substitute the known values in the above equation, so, we have the following representation
Outcomes = 15²
Evaluate
Outcomes = 225
Hence, the possible outcomes are in the sample space are 225
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if it wants to reduce the dollars flowing out of the country, the united states can limit the number of japanese cars being imported by imposing a(n)
Answers
if it wants to reduce the dollars flowing out of the country, the United States can limit the number of Japanese cars being imported by imposing an Import Quota.
Import Quota:
An import quota is a type of trade restriction that places a physical limit on the amount of goods that can be imported into a country during a specific period of time. Like other trade restrictions, quotas are generally used to the benefit of commodity producers in a given economy (protectionism). The essence of import quotas is to limit the amount of foreign goods that can be brought into a country. Quotas work by allowing only those authorized through a license or government contract to bring in the amount specified in the contract. When the quantity specified in the quota is reached, no more goods can be imported during this period.
There are also quota insurance programs where liability and premiums are distributed proportionately among insurers. For example, three companies have a $1,000,000 fire insurance policy per quota, Company A receives 50% ($500,000), Company B receives 30% ($300,000), and Company C receives 20% ($200,000). If the annual bonus is $5,000, Company A will receive $2,500, Company B will receive $1,500 and Company C will receive $1,000. Company A pays 50%, company B 30% and company C 20% for each claim.
Complete Question:
To reduce dollars flowing out of the country, the United States can take measures to limit the number of foreign cars imported from Japan by imposing a(n).
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