A spider eats three flies a day. Until he fills his quota, he has an even chance of catching any fly that attempts to pass.
4 years 5 months ago
Two casks A and B were filled with two kinds of sherry. In cask A, the ratio of the two kinds of sherry is 2:7 while in B, it is 1:5.
4 years 5 months ago
A coin is so unbalanced that it may come both heads in 2 tosses as it may come tails in a single toss. What is the probability of getting a head in a single toss?
4 years 5 months ago
Ted on his bicycle and Noli on his motorcycle started to move simultaneously at 8:00 am from points A and B on a road toward each other.
4 years 5 months ago
A farmer owned a square field measuring exactly 2261 yards on each side. 1898 yards from one corner and 1009 yards from an adjacent corner stood a beech tree.
4 years 5 months ago
A man arrives at the railroad station nearest his country home an hour and 5 minutes before the time at which he had ordered his driver to meet him with his car.
4 years 5 months ago
The probability that both stages of a two-stage missile will function correctly is 0.95. The probability that the first stage will function correctly is 0.98.
4 years 5 months ago
There are three candidates for president of Silk Residences Condominium Unit Owners Association. The probability that Albert will be elected is 0.3, the probability that Bryan will be elected is 0.5 and the probability that Charlie will be elected is 0.2.
4 years 5 months ago
Studies have shown that 72.5% of apprehended snatchers in Metro Manila are drug users. In a random sample of 16 apprehended snatchers, what is the probability that exactly 10 of them are drug users?
4 years 5 months ago
What is the probability that a waitress will refuse to serve alcoholic beverages to only 2 minors if she randomly selects the I.D.’s of 6 students from among 9 students of which 4 are not of legal age?
4 years 5 months ago
A multiple-choice examination has 200 questions, each with 4 possible answers, of which only one is correct.
4 years 5 months ago
I was walking along the road at 6kph when a car dashed past me and only missed me by a few inches.
4 years 5 months ago
A substance goes into a solution at the rate of 25% of the undissolved portion each minute. If the initial amount was 64/27 grams, what amount (in grams) is undissolved after 6 minutes?
4 years 5 months ago
In a certain town there are 1000 married couples. Two-thirds of the husbands who are taller than their wives are also heavier and three-quarters of the husbands who are heavier than their wives are also taller.
4 years 5 months ago
M. Poirot and Miss Marple walk into a turned-off escalator to realize that he is able to walk 3 steps during the time she needs to walk only 2.
4 years 5 months ago
A truth serum given to a suspect is known to be 90% reliable when the person is guilty and 99% reliable when the person is innocent.
4 years 5 months ago
A drawer contains red socks and black socks. When two socks are drawn at random, the probability that both are red is 1/2. How small can the number of socks in the drawer be?
4 years 5 months ago
In a certain municipality, all seven-digit telephone numbers begin with 321. How many telephone numbers maybe assigned to that municipality if the last four digits should not begin or end in zero?
4 years 5 months ago
A cat takes 4 leaps to a dog's 3; but 2 of the dog's leaps are equivalent to 3 of the cat’s. The cat has a start of 50 leaps. How many leaps must the dog take to catch the cat?
4 years 5 months ago
FINAL EXAM - Basic Algebra Review Course
4 years 5 months ago
An equilateral triangle is inscribed within a circle whose diameter is 12 cm. In this triangle a circle is inscribed; and in this circle, another equilateral triangle is inscribed; and so on indefinitely. Find the sum of the areas of all the triangles.
4 years 5 months ago
A large chain retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 3%.
4 years 5 months ago
The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to have contracted this disease, what is the probability that at least 10 survive?
4 years 5 months ago
The probability that a certain kind of component will survive a given shock test is ¾. Find the probability that exactly 2 of the next 4 components tested survive.
4 years 5 months ago
The number of cars passing a point on a road during a five-minute period may be modelled by the Poisson distribution with parameter 4. Find the probability that in five-minute period, fewer than 3 cars go past.
4 years 5 months ago
Suppose a population is normally distributed with a mean of 24.6 and a standard deviation of 1.3. What percentage of data will lie between 25.3 and 26.8?
4 years 5 months ago
Find $P(0 \lt z \lt 1.25)$, where $z$ has the standard normal distribution.
4 years 5 months ago
The Design Basis Earthquake (DBE) has a return period of 475 years with 10% probability of exceedance in how many years?
4 years 5 months ago
The length of a telephone conversation is 2.5 minutes on average. What is the probability that a conversation lasts between 3 and 5 minutes?
4 years 5 months ago
If queries sent to a search engine arrive every 15 seconds on the average, what is the probability of waiting less than or equal to 30 seconds?
4 years 5 months ago
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 800 hours and a standard deviation of 40 hours.
4 years 5 months ago
How old is Ann?
4 years 5 months ago
Area of a triangle
4 years 6 months ago
A spider eats three flies a day. Until he fills his quota, he has an even chance of catching any fly that attempts to pass. A fly is about to make the attempt. What are the chances of survival, given that five flies have already made the attempt today?
4 years 6 months ago
The probabilities that three men hit a target are 1/6, 1/4, and 1/3, respectively. Each shoot once at the target.
4 years 6 months ago
Three marksmen simultaneously shoot and hit a rapidly spinning spherical target.
4 years 6 months ago
A store has three kinds of toys given in every purchase. What is the probability of getting all three toys in five purchases?
4 years 6 months ago
In a family of five children, what is the chance that there are three boys and two girls?
4 years 6 months ago
In how many ways can 5 engineers and 4 nurses be arranged in a round table if the nurses insisted to be sitting side by side?
4 years 6 months ago
There are 6 people lining up to pay telephone bills.
4 years 6 months ago
One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls.
4 years 6 months ago
A die is thrown randomly four hundred fifty times. The frequencies of outcomes 1, 2, 3, 4, 5 and 6 were noted as given in the following table:
4 years 6 months ago
A magician holds one six-sided die in his left hand and two in his right. What is the probability the number on the dice in his left hand is greater than the sum of the dice in his right?
4 years 6 months ago
A stone is dropped into a well and the report of the stone striking the bottom is heard 7.7 seconds after it is dropped.
4 years 6 months ago
If $a^x = c^q = b$ and $c^y = a^z = d$, then:
4 years 6 months ago
The value of $10^{\log_{10} 7}$ is:
4 years 6 months ago
The pressure P of wind on a sail varies jointly as the area A of the sail and the square of the velocity V of the wind.
4 years 6 months ago
The value of $x$ in the equation $\log_{10} (x^2 - 15x) = 2$ are:
4 years 6 months ago
When simplified and expressed with negative exponents, the expression $(x + y)^{-1}(x^{-1} + y^{-1})$ is equal to:
4 years 6 months ago
Indicate in which one of the following equations y is neither directly nor inversely proportional to x:
4 years 6 months ago