Advanced Algebra for Colleges and SchoolsAmerican Book Company, 1902 - 608 páginas |
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Página 445
... event can happen in 3 ways , namely , by drawing any one of the 3 white balls , and can fail in 2 ways , namely , by drawing either of the 2 black balls , it is seen that the ratio of the number of ways favorable to drawing a white ball ...
... event can happen in 3 ways , namely , by drawing any one of the 3 white balls , and can fail in 2 ways , namely , by drawing either of the 2 black balls , it is seen that the ratio of the number of ways favorable to drawing a white ball ...
Página 446
... event will hap- pen is equal to p , the probability that it will fail is equal to 1 - p . - 2. If an event is certain to happen , its probability is 1 ; if an event is certain to fail , its probability is zero . The above principles may ...
... event will hap- pen is equal to p , the probability that it will fail is equal to 1 - p . - 2. If an event is certain to happen , its probability is 1 ; if an event is certain to fail , its probability is zero . The above principles may ...
Página 447
... event is . ( d ) The probability that at least two coins fall heads is greater than the probability that two fall heads and one tail , for the former includes , while the latter excludes , the probability that all fall heads . Since by ...
... event is . ( d ) The probability that at least two coins fall heads is greater than the probability that two fall heads and one tail , for the former includes , while the latter excludes , the probability that all fall heads . Since by ...
Página 450
... events are regarded , in the occurrence or non - occurrence of some or all of them , as joining to make one event , the resulting event is called a Compound Event . Thus , if an ace is thrown with each of two dice , these two events may ...
... events are regarded , in the occurrence or non - occurrence of some or all of them , as joining to make one event , the resulting event is called a Compound Event . Thus , if an ace is thrown with each of two dice , these two events may ...
Página 451
... event com- posed of independent events is equal to the product of the probabilities of the independent events . 4. If p is the probability that an event will happen in one trial , the probability that it will happen n times in ...
... event com- posed of independent events is equal to the product of the probabilities of the independent events . 4. If p is the probability that an event will happen in one trial , the probability that it will happen n times in ...
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Términos y frases comunes
a²b² a²x² ab² absolutely convergent algebraic sum arithmetical means arithmetical progression ax² binomial called cents coefficients column Commutative Law complex numbers continued fraction convergent convergent series cube root denominator difference digits divided dividend divisible established as follows EXAMPLES exponent expression factor Find the sum Find the value finite formula function geometrical mean geometrical progression geometrical series given equation Hence highest common divisor imaginary numbers inequality integer last term limit logarithm multiplied negative number nth root number of terms numerically less obtained polynomial positive integer positive number positive root PRINCIPLE quadratic quotient ratio real number reduced remainder represent result second term SOLUTION square root Substituting subtracted surd third Transposing twice units unknown number variable x²y x²y²
Pasajes populares
Página 212 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Página 343 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Página 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 435 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Página 424 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Página 40 - The process of changing a term from one member of an equation to the other is called Transposition.
Página 331 - PRINCIPLE 7. — If four numbers are in proportion, the. difference between the terms of the first ratio is to either term of the first ratio as the difference between the terms of the second ratio is to the corresponding term of the second ratio ; that is, the numbers are in proportion by Division.
Página 323 - A farmer has two cubical granaries. The side of one is 3 yards longer than the side of the other, and the difference in their solid contents is 117 cubic yards.
Página 426 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.