The minimum number of masthead lights for the given vessel is 2.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
A towing vessel 35 meters in length, with a tow 100 meters astern,
Masthead lights = total length of the tow / total length of the vessel
= 100 / 35 = 2.85
So, the Number of Masthead lights for the given vessel is 2 ≤ x ≤ 3.
And a minimum number of masthead lights is 2.
Thus, the minimum number of masthead lights for the given vessel is 2.
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A jar of marbles should contain 100 marbles. The jar actually has 102 marbles. What is the percent error to the nearest hundredth of a percent?.
The percentage is the change over the original thus percentage error will be 2%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Estimation = 100
Actual amount = 102
% error = (Actual amount - Estimation)/Estimation x 100
% error = (120 - 100)/100 x 100 = 2%
Hence"The percentage is the change over the original thus percentage error will be 2%".
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150m - 125m + 43,200 = 45,675 - 200m
Please help!! What is the value of m ?
first you combine like terms
25m + 43,200 = 45,675 - 200m
then you add 200m to both sides
225m + 43,200 = 45,675
then you subtract 43,200 from both sides
225m = 2,475
then you divide both sides by 225
m = 11
• Choose a topic from the list below: Argue why Josef Pieper conception of leisure is the best one in modernity, or instead why it might be a limited conception in comparison to another theory of leisure. • Argue why a life is better with leisure today, and why for the classical Greeks, an absence of leisure meant an absence of a happy life. • Argue why John Dewey and modern liberal thinkers did not agree with Aristotle's ideas on education or on leisure generally. • Argue how modern psychological conceptions of happiness and the classical idea of happiness in Aristotle differ. What was the "Greek Leisure Ideal" and how would it manifest today according to Sebastian De Grazia? What happened to it? • Argue why the liberal arts are so important in education and leisure, and explain its Greek origin and how that is received today. • You must choose from this list, but it can be modified slightly if you have an idea you wish to pursue. The main requirement is that you must contrast at least one ancient thinker and one modern one. • The paper must be well researched and contain a minimum of 6 sound academic sources. • Textbook or course readings may be used, but do not count in this total. DETAILS SCALCET8 1.3.039. 0/1 Submissions Used Find f o g o h. f(x) = 3x - 8, g(x) = sin(x), h(x) =x^2
To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.
The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.
The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.
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Which of the following statements is false?
1. We use one-sample procedures when our samples are equal in size but aren't independent. II. Everything else being equal, a confidence interval based on 15 degrees
of freedom will be narrower than one based on 10 degrees of freedom. III. We can pool our estimates of the population variance if we want a narrower confidence interval for a given confidence level.
OA. I only
OB. Il only
OC III only
OD. I and II only
OE None are false
OF. I'm not sure.
The only statements that is false is A. I only: 1. We use one-sample procedures when our samples are equal in size but aren't independent.
A one-sample procedure is used when we want to compare a sample mean to a known population mean or when we want to estimate a population mean using a sample mean. In a one-sample procedure, the sample is selected independently and is typically assumed to be random. So, independence of the sample is a requirement for one-sample procedure.
While statement II and III are true.
A confidence interval based on 15 degrees of freedom will be narrower than one based on 10 degrees of freedom, everything else being equal.We can pool our estimates of the population variance if we want a narrower confidence interval for a given confidence level.Learn more about one-sample procedure here: https://brainly.com/question/17356151
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necesitooo su ayudaaa
Answer:
in1 ans is 5
in2ans is 9 ok
A= (a, b}
B = {1,2,3}
Select the expression that is an element of AxBxB.
a. (1,2,3)
b. (a, a,1)
c. (b,2^2)
d. (2.1.1)
The expression that is an element of AxBxB is (1,2,3)
The given data is A= (a, b}, B = {1,2,3}
The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined.
\(& \ A \times B=\left\{\begin{array}{c}(a, 1),(a, 2),(a, 3),(b, 1) \\(b, 2),(b, 3)\end{array}\right. \\\)
\(& A \times B \times B=\left\{\begin{array}{l}(a, 1,1),(a, 1,2),(a, 1,3), \\(a, 2,1),(a, 2,2),(a, 2,3),\end{array}\right. \\& (a, 3,1),(a, 3,2),(a, 3,3) \\ & (b, 1,1),(b, 1,2),(b, 1,3) \\& \left.\begin{array}{l}(b, 2,1),(b, 2,2),(b, 2,3) \\(b, 3,1),(b, 2),(b, 3,3)\end{array}\right\} \\\)
\(& \therefore(b, 2,3) \in D \times B \times B \\\\& (a, a, 1) \notin A \times B \times B \\\\& \left(b, 2^2\right) \quad \forall A \times B \times B \\\\& (2,1,1) \notin A \times B \times B \\\\&=(b, 2,3) \in \cap \times B \times B \\&\end{aligned}\)
The union of two sets X and Y is equal to the set of elements that are present in set X, in set Y, or in both the sets X and Y.
The intersection of sets can be denoted using the symbol ‘∩’. As defined above, the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.
Therefore, the expression that is an element of AxBxB is (1,2,3).
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\(\bf \sqrt{49}\times \sqrt{49}\)
\( = 49\)
Step-by-step explanation:
\( \sqrt{49} \times \sqrt{49} \)
When a square root of an expression is multiplied by itself, the result is that expression\( = 49\)
hope it helps
Answer:
\(\sf\longmapsto \: 49\)
Step-by-step explanation:
\(\sf\longmapsto \sqrt{49} \times \sqrt{49} \)
\(\sf\longmapsto \: {49} \)
What’s the area of the semi circle
14.18 because you do pi times the radius squared and divide it by 2.
In a bag of Christmas treats,there are 3 red candy canes for every 5 gingerbread men. If there are a total of 40 treats, how many are candy canes?
Answer:
Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.
In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.
Step-by-step explanation:
Which of the following statement(s) about multiple regression analysis is FALSE?A. Multiple regression analysis allows you to analyze more than one dependent (Y) variable at a time.B. Multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression.C. Multicollinearity occurs when two or more of the X variables are highly correlated with one another.D. Both A and B are false statements.E. All of the statements above are false.
Multiple regression analysis analyze more than one dependent variable at a time and multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression are false. Correct option is D.
The statement (A) that "Multiple regression analysis allows you to analyze more than one dependent (Y) variable at a time" is false. In multiple regression, there is only one dependent variable (Y) that is being predicted by a combination of independent variables (X).
The statement (B) that "Multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression" is also false.
Multicollinearity occurs when two or more independent variables (X) are highly correlated with each other, which can cause problems in accurately estimating the effect of each independent variable on the dependent variable.
The statement (C) that "Multicollinearity occurs when two or more of the X variables are highly correlated with one another" is true.
Therefore, the correct answer is (D) "Both A and B are false statements."
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Use elimination to solve eachsystem of equations2x + 3y = 9 8x - 5y = 19
Multiply the first equation by 4:
\(\begin{gathered} 4(2x+3y=9) \\ 8x+12y=36 \end{gathered}\)Subtract the second equation:
\(\begin{gathered} 8x+12y=36 \\ - \\ 8x-5y=19 \end{gathered}\)This is:
\(\begin{gathered} 8x+12y-(8x-5y)=36-19 \\ 8x+12y-8x+5y=17 \end{gathered}\)Simplify:
\(\begin{gathered} 17y=17 \\ \frac{17y}{17}=\frac{17}{17} \\ y=1 \end{gathered}\)Substitute y = 1 in the first equation:
\(\begin{gathered} 2x+3(1)=9 \\ 2x+3=9 \end{gathered}\)Ans solve for x:
\(\begin{gathered} 2x+3-3=9-3 \\ 2x=6 \\ \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}\)Answer:
x = 3
y = 1
What is the sum of 2 3/5 and 3/7
Find the common denominator (Lower number on a fraction)
Simplest way is 5x7. 5x7=35
Make it imporper: 13/5 and 3/7
Common denominator: 91/35 and 15/35
106/35.
Mixed form: 3 1/35
Brainliest and a heart would be the best, thank you.
Answer:
106/35 or 3 and 1/35 (depending on if the answer should be a mixed number or improper fraction)
Step-by-step explanation:
2 3/5 + 3/7
to add, you first convert to improper fractions by multiplying the denominator by the whole number and adding that product to the numerator
5*2=10 and 10+3=13 so the first fraction is now 13/5
the problem is now 13/5+3/7
when adding fractions the denominator needs to be the same. To find the least common multiple (or LCM) or a number you take the number's prime factorization and multiply together the largest number of each prime together. However, since these numbers are prime this is unnecessary and we can just multiply them. When multiplying to change the denominator or numerator you must always multiply the opposite side by the same number. This is because a number over the same number equals one and thus you are altering the form without altering the intrinsic numerical value associated with it. For example, you would multiply 13/5 * 7/7 and get 91/35
Next we would multiply 3/7 * 5/5 because 5 is the number that would make the denominator of this fraction also equal 35 and get 15/35
We now have the equation 91/35 + 15/35
When adding the denominator stays the same and you add the numerators which would produce 106/35
We can convert this to a mixed number by seeing how many times 35 can go into 106 completely.
35 goes into 106 3 times with a leftover of 1 so the mixed version would be 3 and 1/35
discrete mathematics and its applications answers to even numbered exercises 8th edition
The statement “The sum of two odd integers is odd” is true because if both integers are odd, the sum will be an odd integer.
1. Answer: False
2. Answer: True
3. Answer: False
4. Answer: True
5. Answer: False
6. Answer: True
7. Answer: False
8. Answer: True
9. Answer: False
10. Answer: True
1. False: The statement “Every odd integer is prime” is false because some odd integers are not prime, e.g. 9.
2. True: The statement “The square of an even integer is even” is true because the square of any even integer can be written as 2k for some integer k, and 2k is even.
3. False: The statement “The sum of two odd integers is even” is false because if both integers are odd, the sum will be an odd integer.
4. True: The statement “The product of two even integers is even” is true because the product of two even integers can be written as 4k for some integer k, and 4k is even.
5. False: The statement “Every even integer is divisible by 4” is false because some even integers are not divisible by 4, e.g. 6.
6. True: The statement “The sum of two even integers is even” is true because the sum of two even integers can be written as 2k for some integer k, and 2k is even.
7. False: The statement “The product of two odd integers is even” is false because the product of two odd integers is an odd integer.
8. True: The statement “The square of an odd integer is odd” is true because the square of any odd integer can be written as 2k + 1 for some integer k, and 2k + 1 is odd.
9. False: The statement “Every even integer is divisible by 8” is false because some even integers are not divisible by 8, e.g. 14.
10. True: The statement “The sum of two odd integers is odd” is true because if both integers are odd, the sum will be an odd integer.
The complete question is :
Q. Are the following statements true or false?
1. Every odd integer is prime.
2. The square of an even integer is even.
3. The sum of two odd integers is even.
4. The product of two even integers is even.
5. Every even integer is divisible by 4.
6. The sum of two even integers is even.
7. The product of two odd integers is even.
8. The square of an odd integer is odd.
9. Every even integer is divisible by 8.
10. The sum of two odd integers is odd.
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let us suppose that sixteen adult polar bears are weighed in an attempt to estimate the average weight of all adult polar bears. the standard deviation of the population of weights is not known, so a t-interval will be reported. what will be the degrees of freedom for the t-procedure?
Answer:
your mom + your mom = big mama there you go your welcome
Step-by-step explanation:
your mom + your mom = big mama there you go your welcome
suppose that a simple random sample is used to estimate the proportion of families in a certain area that are living below the poverty level. if this proportion is roughly .15, what sample size is necessary so that the standard error of the estimate is .02?
The sample size for estimate the proportion of families in a certain area that are living below the poverty level is equals to the 318.75.
The standard error is a statistic term that is the standard deviation of its sampling distribution or an estimate of that standard deviation. In case of sample mean, it is called the standard error of the mean. Formula of standard mean is
\( SE =\sqrt{ \frac{\hat p (1 - \hat p)}{n}} \)
where, n--> sample size
We have a simple random sample for estimate the proportion of families,
Sample proportion = 0.15
Standard error = 0.02
We have to determine the sample size for the standard error of the estimate is .02.
Here, SE = 0.02, \hat p = 0.15
Using the standard score formula,
\( 0.02 =\sqrt{ \frac{0.15 (1 - 0.15)}{n}} \)
Squaring both sides
\( 0.02² = \frac{0.15 ×0.85 }{n} \)
\( 0.0004 = \frac{0.1275 }{n} \)
=> n = 318.75
Hence, required value is 318.75.
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Please help as soon as possible!
22. x=?
23. y=?
The unknown angles in the parallel lines are as follows;
x = 28
y = 23
How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as linear angles, vertically opposite angles, interior angles, corresponding angles, alternate interior angles, alternate exterior angles etc.
using vertical angles and same side interior angles,
5y - 4 + 3y = 180 (same side interior angles are supplementary)
8y - 4 = 180
8y = 180 + 4
8y = 184
divide both sides by 8
y = 184 / 8
y = 23
Hence,
3y = 2x + 13(corresponding angles)
corresponding angles are congruent.
Hence,
3(23) = 2x + 13
69 - 13 = 2x
2x = 56
x = 56 / 2
x = 28
Therefore,
x = 28
y = 23
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Determine whether the following statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Because there are 3 feet in one yard, there are also 3 square feet in one square yard. Question content area bottom Part 1 Choose the correct answer below. A. The statement is true. B. The statement is false. Because there are 3 feet in one yard, there are 27 square feet in one square yard. C. The statement is false. Because there are 3 feet in one yard, there are 6 square feet in one square yard. D. The statement is false. Because there are 3 feet in one yard, there are 9 square feet in one square yard.
The correct option regarding the scale factor and the statement in this problem is given as follows:
D. The statement is false. Because there are 3 feet in one yard, there are 9 square feet in one square yard.
How to obtain the correct scale factor?The scale factor between the length dimensions of the yard are given as follows:
3 feet = 1 yard.
(as these length dimensions are given in yards).
Then for the square units, the correct scale factor is found applying the proportion as follows:
(3 feet)² = (1 yard)².
9 feet squared = 1 square yard.
Hence the statement given in this problem, that because there are 3 feet in one yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.
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One morning, Justin drove 2 hours before stopping to eat lunch. After lunch, he increased his speed by 10 mph. If he completed a 220-mile trip in 6 hours of driving time, how fast (in miles per hour) did he drive in the morning
Answer:
30
Step-by-step explanation:
Let x be his speed at the morning, in miles per hour.
Then his speed after lunch was (x+10) mph.
2x + 3(x+10) = 220.
2x + 3x + 50 = 220
AB, CD and EF are straight lines
AB is parallel to CD
work out the size of angle y
The required value of y is 117°
Given AB and CD are parallel lines;
and EF is the transversal
Thus 2x + 16 = 3x - 12 { because they are corresponding angles }
On solving the above mentioned linear equation
we get,
x = 25
Thus the required angles are 2x + 16 = 50 + 16 = 66 degrees
and 3x - 12 = 75 - 12 = 63 degrees
And to find the value of y
we can use linear pair property
Thus y + 63 = 180
y = 180 - 63
y = 117 °
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Help me please I don’t know how to do this
Answer:
I was doing that this year but I for got how.
Step-by-step explanation:
The Department of Health plans to test the lead level in a public park. The park will be closed if the average lead level exceeds the allowed limit of 400 parts/million, otherwise, the park will be kept open. The department conducts the test using soil samples gathered at randomly selected locations in the park. You work for the Department of Health and your concern is for public safety and overall health of communities In this situation, would you make alpha or beta as low as possible and why? Beta. This type of error would be that when the test was conducted, it indicated that the lead levels exceeded 400 parts/million, but it really didn't and the park was determined to be unsafe when it really wasn't. Alpha. This type of error would be that when the test was conducted, it indicated that the lead levels exceeded 400 parts/million, but it really didn't and the park was determined to be unsafe when it really wasn't. Alpha. This type of error would be that when the test was conducted, it indicated that the lead levels didn't exceed 400 parts/million, but it really did and the park was left open when it really wasn't. Beta. This type of error would be that when the test was conducted, it indicated that the lead levels didn't exceed 400 parts/million, but it really did and the park was left open when it really wasn't safe.
The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.
This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.
As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.
On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.
Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.
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need help asap
Raul has a small business. On Monday his cash received were $348. 16. On Tuesday he took in a total of $419. 23 but paying bills totaling $689. Wednesday through Friday his receipts totaled $1872. 89. What was his net profit for the next week?
Answer:
1183.89
Step-by-step explanation:
take his Wednesday through Friday receipts which is 1872.89 then you subtract 689 cause that's his bill amount and your answer 1183.89 i hope this helped.
Let f(x) = 9 - 12 – 3x and g(x) = f'(X). Find g(2). Show the work that leads to your answer.
Use the formula for compound amount:$20,000 at 5% compounded quarterly for 3/4 of a year
Compound interest formula
\(A=P(1+\frac{r}{n})^{nt}\)where
• A: final amount, in dollars
,• P: principal, in dollars
,• r: interest rate, as a decimal
,• n: number of times interest is compounded per year
,• t: time, in years
Substituting with P = $20,000, r = 0.05 (=5/100), n = 4 (quarterly means that the interest is compounded 4 times per year), and t = 3/4 years, we get:
\(\begin{gathered} A=20,000(1+\frac{0.05}{4})^{4\cdot\frac{3}{4}} \\ A=20,000(1.0125)^3 \\ A=20759.41\text{ \$} \end{gathered}\)The cost to repair a bicycle equals 150X, where X has the following probability function: f(x)=20x(1−x)
3
,0≤x≤1 Calculate the standard deviation of the repair cost. 2 5 27 714 4,009
The cost to repair a bicycle equals 150X, where X has the following probability function: f(x)=20x(1−x)3 Thus standard deviation of the repair cost is approximately 0.267.
To calculate the standard deviation of the repair cost, we need to find the variance first. The variance of a random variable X can be calculated using the formula:
Var(X) = E(X^2) - [E(X)]^2
First, let's calculate E(X):
E(X) = ∫(x * f(x)) dx, integrated from 0 to 1
E(X) = ∫(x * 20x(1−x)^3) dx, integrated from 0 to 1
E(X) = ∫(20x^2(1−x)^3) dx, integrated from 0 to 1
E(X) = 20 * ∫(x^2(1−x)^3) dx, integrated from 0 to 1
Solving the integral, we find E(X) = 4/7.
Next, let's calculate E(X^2):
E(X^2) = ∫(x^2 * f(x)) dx, integrated from 0 to 1
E(X^2) = ∫(x^2 * 20x(1−x)^3) dx, integrated from 0 to 1
E(X^2) = ∫(20x^3(1−x)^3) dx, integrated from 0 to 1
E(X^2) = 20 * ∫(x^3(1−x)^3) dx, integrated from 0 to 1
Solving the integral, we find E(X^2) = 4/15.
Now, we can calculate the variance:
Var(X) = E(X^2) - [E(X)]^2
Var(X) = (4/15) - (4/7)^2
Var(X) = 4/15 - 16/49
Var(X) = 40/105 - 48/105
Var(X) = -8/105
The standard deviation (σ) is the square root of the variance:
σ = sqrt(-8/105)
Thus, the standard deviation of the repair cost is approximately 0.267.
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first one TO ANSWER and GET IT CORRECT will get brainliest plus 15 points :) and a thanks on there comment
Answer:
MacBook air please
Step-by-step explanation:
Answer:
left edge should measure 1 cm and bottom should measure 2 cm because it has to be scaled
Step-by-step explanation:
1 cm = 3 ft
left side is 2cm wants it to be 3 feet and 1cm = 3 feet so you make it from to cm to 1 cm aka 3 feet and the bottom side 2 cm so that its scaled :)
Brainliest?
Anna Levandowski took out a $4,000 simple interest loan at 8% interest for 24 months to buy a wave runner. Her monthly payment is $180.91. After making payments for 9 months, her balance is $2,574.21. She decides to pay the loan off with her next payment. How much will her final payment be? How much interest will she save?
Answer:
Anna's final payment will be $2,574.21, which is the remaining balance on the loan.
Step-by-step explanation:
To calculate the amount of interest Anna will save by paying off the loan early, we need to first calculate the total amount of interest she would have paid if she had made all the scheduled payments. To do this, we can multiply the loan amount by the interest rate and the number of months the loan was taken out for:
$4,000 * 8% * 24 months = $768
Since Anna paid off the loan early, she will not pay all of this interest. The amount of interest she will save is the difference between the total interest and the amount of interest she has already paid. To calculate the amount of interest Anna has already paid, we can multiply the number of payments she has made by the interest portion of her payment:
9 payments * ($180.91 - $180.91 * 0.08) = $935.82
The amount of interest Anna will save is the difference between the total interest and the amount of interest she has already paid:
$768 - $935.82 = -$167.82
Anna will save a negative amount of $167.82 in interest because she has already paid more in interest than she would have if she had made all the scheduled payments.
What evidence is needed to prove two triangles are similar by the SSS similarity theorem?
Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.
So, ∠P = ∠E and ∠Q = ∠F.
Hence, we can write: DP/DE = DQ/DF= PQ/EF.
The above expression is written as
DP/DE = DQ/DF=BC/EF.
It means that PQ = BC.
Hence, the triangle ABC is congruent to the triangle DPQ.
(i.e) ∆ ABC ≅ ∆ DPQ.
Thus, by using the AAA criterion for similarity of the triangle, we can say that
∠A = ∠D, ∠B = ∠E and ∠C = ∠F.
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COULD I PLS GET HELP WILL GIVE BRAINLIEST IF POSSIBLE
Answer:1. f(x) is translated 15 units to the left 2. f(x) is vertically stretched
Step-by-step explanation:
I took this class last year
Answer:
f(x) is translated 15 units to the left 2. f(x) is vertically stretched
Step-by-step explanation:
If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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