Question

On January 25th, 80% pass, on January 31st, 75% pass, and on February 3rd, 85% pass. Determine the minimum percentage of integralists?

261

likes
1306 views

Answer to a math question On January 25th, 80% pass, on January 31st, 75% pass, and on February 3rd, 85% pass. Determine the minimum percentage of integralists?

Expert avatar
Cristian
4.7
116 Answers
Să presupunem că numărul total de întregiți este reprezentat de variabila $x$.

Pe 25 ianuarie trec 80% din numărul total de întregiți, ceea ce înseamnă că numărul de întregiți care trec este $0.8x$.

Pe 31 ianuarie trec 75% din numărul total de întregiți, ceea ce înseamnă că numărul de întregiți care trec este $0.75x$.

Pe 3 februarie trec 85% din numărul total de întregiți, ceea ce înseamnă că numărul de întregiți care trec este $0.85x$.

Pentru a determina procentul minim de întregiți, trebuie să găsim cea mai mică valoare comună (CMMD) a procentelor menționate mai sus.

Luând în considerare acești trei factori comuni ai întregiților, putem folosi formula $CMMD = \frac{x}{100}$, unde $x$ reprezintă procentul minim de întregiți care trec.

CMMD = \frac{x}{100} = \frac{0.8x}{100} = \frac{0.75x}{100} = \frac{0.85x}{100}

Pentru a găsi procentul minim de întregiți, putem găsi CMMDC-ul procentelor 80%, 75% și 85%. Putem face acest lucru prin simplificarea fracțiilor:

CMMD = \frac{x}{100} = \frac{0.8x}{100} = \frac{4}{5} \cdot \frac{x}{100} = \frac{3}{4} \cdot \frac{x}{100} = \frac{17}{20} \cdot \frac{x}{100}

Acum putem determina procentul minim de întregiți:

\frac{x}{100} = \frac{17}{20} \cdot \frac{x}{100} \Rightarrow 1 = \frac{17}{20} \Rightarrow \frac{20}{20} = \frac{17}{20} \Rightarrow \frac{3}{20} = \frac{x}{100} \Rightarrow x = \frac{3}{20} \cdot 100 = \frac{300}{20} = \frac{15}{1} = 15

Answer: Procentul minim de înegalități este de 15%.

Frequently asked questions (FAQs)
What is the angle θ if the opposite side length is 8 and the adjacent side length is 15?
+
What is the Pythagorean theorem,
+
What is the cosine of the angle in the unit circle corresponding to the point (1, 0)?
+
New questions in Mathematics
Convert the following function from standard form to vertex form f(x) = x^2 + 7x - 1
A circle with a 12-inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?
5/8 x 64
Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?
Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.
A car that starts from rest moves for 11 min, reaching a speed of 135 km/h, calculate the acceleration it had
How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?
If O(3,-2) is reflected across x = 2. What are the coordinates of O
Suppose the horses in a large stable, have a mean weight of a 807 pounds and a variance of 5776. What is the probability that the mean weight of the sample of horses with differ from the population mean by greater than 18 pounds is 41 horses are sampled at random from the stable round your answer to four decimal places.
2.3/-71.32
find x in the equation 2x-4=6
Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane
Solve : 15/16 divide 12/8 =x/y
Find 2 numbers whose sum is 47 and whose subtraction is 13
suppose random variable x follows poisson distribution with expected value 3. what is variance of x?
It is known that the content of milk that is actually in a bag distributes normally with an average of 900 grams and variance 25 square grams. Suppose that the cost in pesos of a bag of milk is given by 𝐶(𝑥) = { 3800 𝑠𝑖 𝑥 ≤ 890 4500 𝑠𝑖 𝑥 > 890 Find the expected cost.
The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?
(X+2)(x+3)=4x+18
A multiple choice exam is made up of 10 questions; Each question has 5 options and only one of them is correct. If a person answers at random, what is the probability of answering only 3 good questions?
A person runs 175 yards per minute write a variable that represents the relationship between time and distance