In an example with three factor levels, for Helmert contrasts the first contrast codes the difference between the first two factor levels, and the second contrast codes the difference between the mean of the first two levels and the third level. (In cases of a four-level factor, the third ...
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This notation is used all over mathematics to succinctly capture long sums which may be finite or even infinite in nature. Typically symbols such as n,k,i, and j are used to index summations. Consider, for example, the binomial theorem, a famous result used to compute coefficients of binom...
feet we have to know the formula. 1 foot = 30.48 cm therefore, 1 cm = 1/30.48 feet 1 cm = 0.0328084 feet for example, we need to convert 10 cm into feet. then, multiply 10 by 0.0328084 to get the result. hence, 10 cm = 10 x 0.0328084 feet = 0.328084 feet. what is centimeter...
Solve each binomial. 3(x+1)=0, multiply the 3 times the x and the 1: 3x+3=0. You need to make 3x equal -3 because 3+3=0. In order to make 3x into -3, the x must equal -1, so -1 is the first answer of the set. Now look at the second binomial, 3(x+3)=0, and...
for each fraction, we can find its equivalent fraction by multiplying both numerator and denominator with the same number. for example, we have to find the third equivalent fraction of ⅔; then we have to multiply 2/3 by 3/3. hence, 2/3 × (3/3) = 6/9, is the fraction ...
of a frame intersected with rows of wires. These wires are strung with beads. These beads can be slid across the wire to separate them from the others, and by moving the beads the user can add, subtract and multiply. Multiplying with an abacus requires some concentration and counting ...
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We're going to answer that question here in this episode. Do I have enough time to teach through problem solving or should I teach through direct instruction? That's a question we're going to tackle here. What resources can I use, so that I can cover the curriculum and still access ...
The first part has denominators of 2, 4 and 1, respectively. The "1" isn't shown, but can be assumed as 1/1, which doesn't change the variable. Since both 1 and 2 will go into 4 evenly, you can use 4 as the common denominator. To adjust the equation, you would multiply 1/2X...