"GIGO," which stands for "Garbage In, Garbage Out." It refers to the concept that if you input flawed or inaccurate data into a system or analysis, the output or results will also be flawed or inaccurate.
In the case of New Coke, it seems that Coca-Cola relied heavily on quantitative data, such as taste tests, to determine consumer preferences for the new formula. However, they overlooked the qualitative data related to the emotional attachment consumers had with the classic Coke brand. This oversight led to a significant error in judgment, as people reacted negatively to the change, resulting in outrage and a decline in sales.
This example demonstrates the limitations of relying solely on quantitative data and the importance of considering qualitative factors when making business decisions. By focusing solely on taste test results and neglecting the emotional attachment consumers had with the iconic brand, Coca-Cola failed to capture the full picture of consumer sentiment and made a costly mistake.
In summary, while quantitative data can provide valuable insights, it's crucial to consider qualitative factors and gather a comprehensive understanding of the situation to make informed decisions and avoid potential pitfalls.
Learn more about Gigo here: brainly.com/question/24184362
#SPJ11
Can someone help please? i’ll give you brainliest, sorry if it’s hard to see
1/4 and 4
Step-by-step explanation:
small to large: 2/8 =1/4
large to small: 8/2 =4
Answer: 2x4=8 , 16x8=128
128x8=1024
Step-by-step explanation: hope I help with your problems and sorry if it wrong
Question 1 (2 x 12 = 24 marks) Analyze and discuss the performance (in Big-O notation) of implementing the following methods over Singly Linked List and Doubly Linked List Data structures: To be submitted through Turnitin.Maximum allowed similaritv is 15% Operation Singly Linked List Doubly Linked List add to start of list Big-O notation Explanation add to end of list Big-O notation Explanation add at given index Big-O notation Explanation
In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.
Add to Start of List:
Singly Linked List: O(1)
Doubly Linked List: O(1)
Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.
This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.
Add to End of List:
Singly Linked List: O(n)
Doubly Linked List: O(1)
Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.
In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.
This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.
Add at Given Index:
Singly Linked List: O(n)
Doubly Linked List: O(n)
Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.
This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.
Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.
In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.
On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.
To learn more about Big-O notation visit:
brainly.com/question/30452896
#SPJ11
SOLVE 3 AND 4 I WILL GIVE BRAINLIST!!
Answer:
3. C≈31.42
4.C≈94.25
Step-by-step explanation:
10 ÷ 2 =5
C=2πr
c=2 (3.14) 5
c= 2(3.14)15
Danielle pays a monthly charge of $69 for her cable bill. She also pays a fee every time she watches a movie on demand. Last month danielle watched 7 movies on demand, and her total monthly bill was $104. Select from the drop-down menu to correctly complete each statement. The monthly charge for danielle's cable bill is choose. . Danielle also pays choose. Every time she watches a movie on demand.
Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.
Danielle pays a monthly charge of $69 for her cable bill.
She also pays a fee every time she watches a movie on demand.
Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.
We have to find the monthly charge for Danielle's cable bill to choose.
Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.
Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.
To learn more about Simplification link is here brainly.com/question/19691064
#SPJ4
Hi! I need the answer for this question: solve until you get the minimum expression: 2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)
Answer:
11/5 x^2 + 5/2 xy + 3/2 y.
Step-by-step explanation:
2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)
= 2x^2 + 2xy + 1/5 x^2 + 1/2xy + 3/2 y
= 11/5 x^2 + 5/2 xy + 3/2 y.
Which of the sets of ordered pairs represents a function? (5 points) A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3), (−9, 5)} Only A Only B Both A and B Neither A nor B
Answer:
We conclude that Neither A nor B represents the function.
Hence, the correct option is:
Neither A nor BStep-by-step explanation:
A function relates an input to an output.
For example, a certain animal grows 30 cm each year. Thus, the height of the animal is associated with its age using the function
h (age) = age × 30
Therefore, if the age of the animal is 3 years, the height is:
h(3) = 3 × 10 = 90 cm
Set A
A = {(1, −5), (8, −5), (8, 7), (2, 9)}
Please check that there are duplicated inputs.
i.e. x = 8 is appeared twice.
Thus, set A does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.
Therefore, the set A of ordered pairs does not represent a function.
Set B
B = {(7, −4), (7, −2), (6, −3), (−9, 5)}
Please check that there are duplicated inputs.
i.e. x = 7 is appeared twice.
Thus, the set B does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.
Therefore, the set B of ordered pairs also does not represent a function.
Conclusion:
We conclude that Neither A nor B represents the function.
Hence, the correct option is:
Neither A nor BConsider the following data for a group of 2000 women. Of these women, 16 are known to have breast cancer. All 2000 undergo the same test to determine whether or not they have breast cancer, and 154 test positive. 14 of the 16 that have breast cancer test positive and 140 of those that do not have breast cancer test positive.
Find the probability that a woman has breast cancer given that her test result is positive.
Find the probability that a woman does not have breast cancer given that her test result is negative.
The probability that a woman tests positive given that she has breast cancer is 7/8 and the probability that a woman tests negative for breast cancer given that her test result is negative is 923/1000.
What is probability?Probability is the possibility of happening an event.
Since 14 of 16 have breast cancer test positive, the probability is:
p = 14/16
p = 7/8
Therefore, the probability that a woman tests positive given that she has breast cancer is 7/8.
The number of women who test negative is:
2000 - 154
= 1846
Therefore, 1846 out of 2000 women test negative.
The probability of a woman testing negative is:
p = 1846/2000
p = 923/1000
Therefore, The probability that a woman tests negative for breast cancer given that her test result is negative is 923/1000.
Learn more on probabilities here:
https://brainly.com/question/19557377
#SPJ1
A truck bed can carry up to 1,000 pounds. Which inequality describes the number of boxes, b, the truck can carry if each box weighs 35 pounds?
Answer:
35x ≤ 1000
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Which equations are true for the values of x, y, and z in the figure? Select all that apply.
x° + 105° = 180°
x° = z°
105° – y° = 90°
x° + y° + z° = 180°
180° – z° = y°
x° + y° = 105°
Gracie has 5555 pet bunnies that love to eat whole carrots. She has 39393939 carrots to feed the bunnies. Gracie will use as many carrots as she can and give each bunny the same number. How many carrots will each bunny get?
Answer:
7,091.61
Step-by-step explanation:
If you have a number 1. (39393939) and you have another number 2. (5555) and you want the second number to get the same amount as the other numbers but evenly, you need to divided the first number with the second number.
Ex. 39393939/ 5555 = 7,091.61
So each bunny will get 7,091.61 carrots.
if a-1/a=5 then find the value of a square +1/asquare
Answer:
3
Step-by-step explanation:
Calculating a
a - 1 / a = 5a - 1 = 5a4a = -1a = -1/4Substitute in the 2nd equation
a² + 1 / a²(-1/4)² + 1 / (-1/4)²1/2 + 1 / 1/23/2 / 1/23find a value of c so that p(z ≥ c) = 0.55.
To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.
Therefore, we have:
P(z ≥ c) = 0.55
P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45
Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.
So, c = -0.126.
Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.
To learn more about distribution : brainly.com/question/29664127
#SPJ11
at what rate is the angle θ, between the ladder and the ground changing then?
To determine the rate at which the angle θ, between the ladder and the ground is changing, we need to establish a relationship between the angle θ and the given variables.
Let's assume the ladder is leaning against a wall, forming a right triangle with the ground. The ladder acts as the hypotenuse, and the angle θ is the angle opposite to the height of the wall.
Given that the length of the ladder is decreasing at a constant rate of 2 ft/s, we can express this as dh/dt = -2 ft/s, where h represents the height of the wall.
Using trigonometry, we know that sin θ = h/l, where l represents the length of the ladder. Taking the derivative of this equation with respect to time t, we get:
d/dt(sin θ) = d/dt(h/l)
Differentiating both sides using the chain rule, we have:
cos θ * dθ/dt = (dl/dt * h - dh/dt * l) / l²
Since dl/dt is given as -2 ft/s and dh/dt is given as -2 ft/s, we can substitute these values into the equation:
cos θ * dθ/dt = (-2 * h - (-2) * l) / l²
Simplifying further:
cos θ * dθ/dt = (-2h + 2l) / l²
Now, to find the rate at which the angle θ is changing (dθ/dt), we need to know the values of h and l at a specific point in time. Without additional information or specific values for h and l, we cannot determine the exact rate at which θ is changing.
In summary, the rate at which the angle θ is changing (dθ/dt) depends on the specific values of h and l at a given time.
Learn more about variables. from
https://brainly.com/question/28248724
#SPJ11
please be original, ! I am asking what is 2 variables that are related , and which one of the 2 you think is supposed to have a higher standard deviation and why? you need at least 3 reasons why the variable you choose is less predictable compared to the other variable !1'' need answer ASAP pls 1.!!** depict two variables that are related and contend which one you think should have higher standard deviation and why do you think that. please understand thatvou need to think of reasons as to why your picked variable is less unsuprising contrasted with the other variable?!!
In this case, I will consider the relationship between a person's age and their income. I believe that income is more likely to have a higher standard deviation compared to age.
1. Economic Factors: Income is influenced by economic factors such as job market conditions, economic growth, and industry trends. These factors can fluctuate over time, leading to variations in income levels. On the other hand, age progresses in a more predictable manner.
2. Career Development: Income is strongly influenced by career development, including promotions, job changes, and salary negotiations. These factors introduce a level of unpredictability, as individuals may experience significant income changes at different stages of their careers. Age, although related to career progression, follows a relatively more predictable pattern.
3. Individual Choices: Income can also be influenced by individual choices such as entrepreneurship, investment decisions, and career changes. These choices introduce a higher level of variability as they depend on personal circumstances, risk appetite, and market conditions. Age, in contrast, progresses in a more linear and predictable manner.
Considering these reasons, it is reasonable to expect that income would have a higher standard deviation compared to age. Income is influenced by various external and personal factors that can result in significant fluctuations, making it less predictable compared to the relatively more stable progression of age.
Learn more about standard deviation visit:
brainly.com/question/13498201
#SPJ11
Help idk the answer and it’s due tomorrow
Answer:
C. 14%
Step-by-step explanation:
We know that Dallas's wage increased from $9 to $10.25.
Let's say the percent increase is x. Then we write the expression:
9 + x * 9 = 10.25
Divide by 9 from both sides:
1 + x = 10.25 / 9 ≈ 1.14
Subtract 1 from both sides:
x = 1.14 - 1 = 0.14
Since x is a percent, that means x = k/100, where k is an integer. So we have:
x = k/100 = 0.14
Multiply both sides by 100:
k = 0.14 * 100 = 14%
The answer is thus C.
~ an aesthetics lover
Answer:
C.14%Step-by-step explanation:
\(Original\:price = \$9\\New\:price =\$10.25\\\\Increase = 10.25-9\\Increase = 1.25\\\\Increase \: \% = \frac{Increase}{Original \:price} \:\times 100\\\\= \frac{1.25}{9} \times 100\\\\= \frac{125}{9}\\ \\= 13.888\\= 14\%\)
describe the vertical asymptotes) and holes) for the graph of y=x-6/x^2 5x 6
Given the function `y = (x-6) / (x^2 + 5x + 6)`, let's identify the vertical asymptotes and holes: Factoring the denominator, we get`(x^2 + 5x + 6) = (x+2)(x+3)`So, `y = (x-6) / (x+2)(x+3)`
The vertical asymptotes of the function are the roots of the denominator. Thus, the vertical asymptotes of the function are `x = -2` and `x = -3`.Now, we'll look for the holes in the function. A hole is a point where the function is undefined but can be simplified by canceling common factors.
In the given function, we notice that the numerator `(x-6)` and the denominator `(x+2)(x+3)` have a common factor of `(x-6)`. Thus, there is a hole at `x = 6`.We can cancel `(x-6)` from both numerator and denominator to obtain the simplified function `y = 1 / (x+3)`.Therefore, the vertical asymptotes are `x = -2` and `x = -3`, and there is a hole at `x = 6`.
To know more about denominator refer to:
https://brainly.com/question/24485638
#SPJ11
x tends to 0 (sinax-sinbx)/x
Answer:
1xxx double answer po
Step-by-step explanation:
akoooooooooooo
bahalaaaaaaaaaa
f(x)={10 for 0≤x≤1 elsewhere a. Select the probability density function. b. What is the probability of generating a random number between 0.25 and 0.75 (to 1 decimal place)? c. What is the probability of generating a random number with a value less than or equal to 0.3 (to 1 decimal place)? d. What is the probability of generating a random number with a value greater than 0.7 (to 1 decimal place)? e. Using 50 random numbers given below, compute the mean and standard deviation.
a. The probability density function is f(x) = 1 for 0 ≤ x ≤ 1 and f(x) = 0 elsewhere. b. The probability of generating a random number between 0.25 and 0.75 is 0.5 (50%). c. The probability of generating a random number ≤ 0.3 is 0.3 (30%). d. The probability of generating a random number > 0.7 is 0.3 (30%).
To determine the probability density function (pdf) for the given function, we need to calculate the integral of the function over its entire domain and normalize it so that the total area under the curve is equal to 1.
a. Probability Density Function (pdf):
For 0 ≤ x ≤ 1, f(x) = 10, and elsewhere, f(x) = 0.
To find the pdf, we need to calculate the integral of f(x) over its domain [0, 1]:
∫[0,1] f(x) dx = ∫[0,1] 10 dx = 10x ∣[0,1] = 10(1) - 10(0) = 10
To normalize the pdf, we divide each value by the total area:
f(x) = 10/10 = 1 for 0 ≤ x ≤ 1
f(x) = 0 elsewhere
Therefore, the pdf is:
f(x) = 1 for 0 ≤ x ≤ 1
f(x) = 0 elsewhere
b. Probability of generating a random number between 0.25 and 0.75:
To calculate the probability of generating a random number between 0.25 and 0.75, we need to calculate the integral of the pdf over this range and normalize it:
P(0.25 ≤ x ≤ 0.75) = ∫[0.25,0.75] f(x) dx
Since the pdf is constant (equal to 1) over this range, the probability is simply the width of the range:
P(0.25 ≤ x ≤ 0.75) = 0.75 - 0.25 = 0.5
Therefore, the probability of generating a random number between 0.25 and 0.75 is 0.5 (or 50%).
c. Probability of generating a random number ≤ 0.3:
To calculate the probability of generating a random number with a value less than or equal to 0.3, we need to calculate the integral of the pdf over the range [0, 0.3]:
P(x ≤ 0.3) = ∫[0,0.3] f(x) dx = ∫[0,0.3] 1 dx = x ∣[0,0.3] = 0.3 - 0 = 0.3
Therefore, the probability of generating a random number ≤ 0.3 is 0.3 (or 30%).
d. Probability of generating a random number > 0.7:
To calculate the probability of generating a random number with a value greater than 0.7, we need to calculate the integral of the pdf over the range (0.7, 1]:
P(x > 0.7) = ∫[0.7,1] f(x) dx = ∫[0.7,1] 1 dx = x ∣[0.7,1] = 1 - 0.7 = 0.3
Therefore, the probability of generating a random number > 0.7 is 0.3 (or 30%).
To know more about Probability:
brainly.com/question/32117953
#SPJ4
--The given question is incomplete, the complete question is given below " f(x)={10 for 0≤x≤1 elsewhere a. Select the probability density function. b. What is the probability of generating a random number between 0.25 and 0.75 (to 1 decimal place)? c. What is the probability of generating a random number with a value less than or equal to 0.3 (to 1 decimal place)? d. What is the probability of generating a random number with a value greater than 0.7 (to 1 decimal place)? "--
# 4-15 Convert the given amount to the given unit
4. 63 yd; feet
5. 168h; days
6. 2.5lb; ounces
7. 200 cm; meters
8. 4 min; seconds
9. 5kg; pounds
IT’S TIMED NEED HELP ASAP! If you don’t know please don’t answer
Answer:
12.2 or 12 2/9
Step-by-step explanation:
You set them equal to each other and solve
Answer:
x = 12
Step-by-step explanation:
We know that LM and RS are the same because of they have the same mark, we can make a algebraic equation:
9x + 27 = 135
9x = 108
x = 12
Can you find the cube
root of a negative number if so I’d it positive or negative
Step-by-step explanation:
Yes. The cube root of a negative number will be negative.
For example, (-2)^3 = -8. The cube root of -8 is -2.
Answer:
Yes, it would be negative
Step-by-step explanation:
Yes, the cube root of a negative number can be found without using imaginary numbers to represent it.
The cube of a number is that number multiplied by itself 3 times so:
a^3 = a*a*a
if "a" is negative then the cube of "a" will be negative. Hence the cube root of a negative number will be negative.
Use the diagram to complete the statement.
BC =
The measurement of BC in the given figure is 4√2.
Given is figure we need to find the measurement of BC,
∠GBC = ∠CDF = 45° [alternate angles]
So, in triangle DCF,
Cos 45° = DF/DC
1/√2 = DF/12√2
DF = 12
Now we see that the triangles DCF and BCG are similar triangles by AA rule,
So, according to the definition of similar triangles,
DC/BC = DF/BG
12√2/BC = 12/(7-3)
12√2/BC = 12/4
12√2/BC = 3
3BC = 12√2
BC = 4√2
Alternatively, you can find the value of BC, using the trigonometric ratios in triangle GBC,
Cos 45° = GB/BC
GB = 7-3 = 4
Therefore,
Cos 45° = 4/BC
1/√2 = 4/BC
BC = 4√2
Hence the measurement of BC in the given figure is 4√2.
Learn more about similar triangles, click;
https://brainly.com/question/14926756
#SPJ1
How to find type 1 stats error?
In the statistics the type 1 error means rejection of the null hypothesis in the case of when it is actually true.
In the field of statistics,
Type 1 error represents that there is a rejection of the Null hypothesis in the case when it is actually true.
This implies that the concluding results are actually statistically significant.
But in reality the result is due to unrelated factors or purely by coincidence or chance.
The risk representing the taking of this error as significant level alpha with some value.
Therefore, the type one error in statistics represents that rejection of Null hypothesis.
Learn more about statistics here
brainly.com/question/30402132
#SPJ4
Write the equation of the table shown below.
Х
0
2
5
9
12
у
4
6
9
13
16
Answer:
sorry... but the image is all black
I cant see anything
Factor the expression.
24 + 7x − 5x2
Answer:
-(5x+8)(x - 3)
Step-by-step explanation:
add and subtract second term to expression and factor using grouping
Jayson uses a hose to fill a 45-gallon tank with water in 15 minutes. How many gallons of water does Jayson add to the tank per minute?
. Define ( = 1+√-3. Show that (+i is algebraic over Q. [Hint: Theorem 4.8.] Theorem 4.8 [R. DEDEKIND] Let T be a commutative ring, and let S be a subring of T. Then IT (S) is a subring of T. PROOF. Let p and q be elements in IT (S), and set A := {p, q). Then, by Proposition 4.6, S[A] ≤ IT(S). Since p, q € S[A] and S[A] is a subring of T, p− q € S[A] and pq € S[A]. Thus, p− q = IT(S)
The number α= 1+ √(−3) is not algebraic over Q as there is no non-zero polynomial with rational coefficients that has α as a root.
To show that α= 1+ √(−3) is algebraic over Q (the field of rational numbers), we need to demonstrate that there exists a non-zero polynomial with rational coefficients such that α is a root of that polynomial.
Let's consider the polynomial f(x)=x² −2x+4. We will show that f(α)=0, which implies that α is a root of the polynomial and hence algebraic over Q.
Substituting α into the polynomial
f(α)=(α)² −2(α)+4.
Now, let's evaluate each term:
α² = (1 + √(-3))² = 1 + 2√(-3) -3 = -1 + 2√(-3)
-2α = -2(1+ √(-3)) = -2 -2√(-3)
Plugging these values back into the expression:
f(α)=(−1+2 √(−3)) −2−2 √(−3) +4=−3+4 = 1.
Since f(α)=1 ≠ 0, the polynomial f(x) is not the desired polynomial with α as a root.
Therefore, α=1+ √(−3) is not algebraic over Q.
To know more about polynomial:
https://brainly.com/question/11536910
#SPJ4
Can you please help me out with a question
Two pyramids are similar, so ratio of the corresponding sides are equal.
Determine the height of large pyramid.
\(\begin{gathered} \frac{h}{16}=\frac{20}{5} \\ h=4\cdot16 \\ =64 \end{gathered}\)The formula for the volume of pyramid is,
\(V=\frac{1}{3}\cdot A\cdot h\)Here, A is base area of pyramid.
Determine the volume of pyramid.
\(\begin{gathered} V=\frac{1}{3}\cdot(20\cdot20)\cdot64 \\ =8533.33 \\ \approx8533.3 \end{gathered}\)So answer is V = 8533.3 inches cube.
a rectangle's length is 5cm more than its width, if it has an area of 336 cm squared find the length
The length of the rectangle is 19 cm.
The formula for the area of a rectangle,
Area = Length x Width
Given that the area is 336 cm squared.
So, we can set up an equation,
⇒ 336 = (w + 5)w
where w represents the width of the rectangle.
Expanding this equation,
⇒ 336 = w² + 5w
Moving all terms to one side:
⇒ w² + 5w - 336 = 0
This is a quadratic equation that we can solve using the quadratic formula,
⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))
⇒ w = (-5 ± 23) / 2
We'll take the positive value,
⇒ w = 14
So, the width of the rectangle is 14 cm.
We also know that the length is 5 cm more than the width,
Therefore,
⇒ l = w + 5
⇒ l = 14 + 5
⇒ l = 19
Therefore, the length of the rectangle is 19 cm.
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ12
i will give brainliest to best answer
That's a Congruent Triangle question.
The first thing that we should to analize is it: What figure is EFGH? The question say for us that \(\overline{EF} \cong \overline{GH}\) and \(\overline{EH} \cong \overline{GF}\), therefore, EFGH is a parallelogram because its parallel sides are congruents (equals).
Now, we should to proof that \(\triangle EFH \cong \triangle GHF\). The simbol "≅" means congruence, that is, \(\triangle EFH \cong \triangle GHF\) means that the triangles EFH and GHF are equals.
Let's proof:
\(\overline{HF}\) is a diagonal of the parallelogram EFGH. When we have a diagonal in a parallelogram, the opposite angles are congruents (look at the picture: the blue angles are congruent and the red angles are congruents too). Therefore, \(E\hat{F}H \cong F\hat{H}G\) and \(E\hat{H}F \cong H\hat{F}G\).
Both triangle has a comum side: the diagonal \(\overline{HF}\). The diagonal \(\overline{HF}\) is between two angles that we know that are congruents, Therefore, by the case ASA (Angle, Side, Angle), we proof that \(\triangle EFH \cong \triangle GHF\).