Algebra - math word problems - page 298 of 303
Number of problems found: 6048
- Tributaries
The first tributary fills the pool with water in 15 hours. The second tributary fills the pool in 10 hours. For how many hours is the pool filled with both tributaries? - Probability 68574
The target is divided into three zones. The probability of a shooter hitting the first band is 0.18, the second band 0.2, and the third band 0.44. What is the probability that a) hits the target, b) miss the target? - Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices? - Flowerbed
Ondra digs the bed in 20 minutes, Cuba in 30 minutes. How long do they dig together? - Consecutive 29761
Determine three consecutive natural numbers, the sum of which is 66. - Contradiction 55571
Use the truth table to evaluate the truth of the compound statement (a) [P ∧ (Q ∨ R)] ⇔ [(P ∧ Q) ∨ (P ∧ R)] (b) ¬(P ⇒ ¬Q) ⇒ (¬P ∧ Q) and decide each time whether it is a tautology or A contradiction. - Harmonic mean
If x, y, and z form a harmonic progression, y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5.
- Insert 7
Insert five harmonic means between 3 and 18 - Probability 81591
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - Corrects 83017
The new teacher corrects papers for 9 hours, and the older one fixes them in 6 hours. How much will they repair together? - Together 65074
Jana washes 20 windows alone in 4 hours. Petra would be able to do it in 6 hours. How long will it take to work together? - Working together
One painter painted the nursery in 10 days, the second in 8 days. How many days will the nursery be painted if they work together? - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Probability 24291
Today, one-fifth of 30 students still need to complete a homework assignment. What is the teacher's probability of randomly selecting a pupil with homework during the check?
- Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q) - Pack of cream
A mother uses one pack of cream in 12 weeks, and a daughter in 14 weeks. They used the cream together for four weeks, then only the daughter used it. How many more weeks did her cream last? - Blueberries - total
Peter collects a container of blueberries in 3 hours, and Jana in 2 hours. How long will it take them to fill the container together? - Working together
One worker performs work in 3 days, the second in 5 days. How much do they work together? - Z score transformation
The annual salary of an entry-level statistics major (in thousands of dollars) is normally distributed with a mean of 75 and a standard deviation of 12. X ∼ N ( μ = 75, σ = 12 ). What minimum salary should a statistics major aim for to earn amongst the to
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