Q and A for the topic: General

In an English course there are 16 men and 24 women, only four men wear long hair, the rest wear it short, while only six women wear short hair, the rest wear it long, what is the probability that the person has long hair? long?

In the lioness vicar house group I contribute the amount proportional to the number of students they have. If each group contributed 956 for a school event. What percentage did the students contribute in each group, considering that. 1A has 31 Students 1B has 34 Students 2A has 20 Students 2B has 22 Students 3A has 18 Students 3B has 24 Students How much does each student contribute in their group? What percentage does it correspond to? How much money did the entire school raise in total?

1. Administer 10 mg of Morphine every 4 hours in 100 ml of physiological solution. Presentations: 2.5mg vial in 2.5ml. 50mg vial in 2ml and 10mg vial in 10ml How many ml of physiological solution will there be and how many ml of Morphine using the presentation of 2.5mg in 2.5ml? How many vials should you use with the presentation of 2.5mg in 2.5ml? How many ml of physiological solution will there be and how many ml of Morphine using the presentation of 50mg in 2ml? How many ml of physiological solution will there be and how many ml of Morphine using the presentation of 10mg in 10ml?

What is the general solution of the differential y'= y/(x+1)

What is the expression that gives the area of the rotational surface formed by rotating the curve segment with equations x = t^3 and y = 2t +3 around the y axis, provided that -1<=t<=1?

An aquarium is housing 11 Pacific oysters, 13 Eastern oysters, 19 Chilean oysters, and 23 Kumamoto oysters. How many ways can I randomly choose 2 of each of the four species of oyster to move to a different location?

Use the Proof method to determine whether the following argument form is valid. 1. (~p v q) & ~(q & ~r). Given. 2. r → p . Given SHOW: p ↔ r

In ℝ3 consider the vectors 𝑢 = (1, −1,3) and 𝑣 = (2,1,0) Determine the space generated by the vectors 𝑢 and 𝑣, that is: 𝑊 =<{𝑢, 𝑣} >

The next cell contains the following reaction: (6 pts) 2 Ag(s) + Cu(s) → Cu2+ (ac) + 2 Ag + (ac) Determine if the reaction takes place spontaneously. Ag+ (ac) + e − → Ag (s) E∘= 0.80 V Cu2+ (ac) +2 e −→Cu (s) E∘= 0.34 V If it does not occur spontaneously, write the half oxidation reaction and the half reduction reaction with its new voltages. In addition to this, calculate the new voltage of the cell.

Suppose that X is a random variable distributed according to the following function probability density: f(x)= 2(1 − x) for 0 ≤ x ≤ 1 f(x)= 0 otherwise. Since Y = 6X + 10, obtain variance of Y

Given the function f (x, y) = e−x · sin(x + y) a) Calculate its gradient at the point (0, π)

Given the function f (x, y) = e−x · sin(x + y) b) Study its homogeneity and calculate the degree of homogeneity, if applicable . c) Calculate f(t) when t = 1 if x(t) = t2 + 1, y(t) = ln(t)

Find the partial derivatives of the following functions: 4x^2 y^2+5x^2+2y+9 z=(5x^3+y)/(2x+3y) z=(3xy-x^2 )^8

Balance the reaction in basic medium. (6pts) K2Cr2O7 + Na2SO3 + H2O → Cr(OH)3 + Na2SO4 + KOH

Given the vectors A=0.6j+0.8k and B=30i−5j−k . A unit vector that is normal to the plane containing A and B is

does -5π/6 belong to the domain of definition [-3π;3π]

In a certain urban area, 60% of the owners subscribe to Netflix and 70% to Star+. 45% subscribe to both. If an owner is selected at random. What is the probability that it only has Netflix?

Let TRR be the linear transformation given by Tz, p.2)=(x+y.2+2) (a) Give a base and dimension of Ker(T); (b) Give a base and dimension of Im(T)

A company conducted a survey of 80 people to find out the amount of hours a day they watch television. The results were the following number of hours 1 hour: 4 people 2 hours: 15 people 3 hours: 16 people 4 hours: 45 people draw 3 conclusions according to the position measurements

2.- Cristina wishes to make a deposit of $50,000 in a financial institution, in order to continue making ten additional deposits every six months for an identical amount, where the first of them will be made within six months. If the financial institution offers and pays 10% every six months, how much will Cristina withdraw six months after the last deposit?