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# SAT Math scores have a Normal Distribution N(515, 114). (answer)

Question - is 114 the standard deviation or the variance of the distribution?  I'll assume the variance given its relative size to the mean 515.   Step 1) You will have to find the z-score such that 20% of the area under the Standard Normal Distribution Curve lies to the right of this z-score...

A standardize score of +1.23 represents that the raw score is 1.23 standard deviations ABOVE the mean.  (NOTE:  If the standardized score was -1.23, then the raw score would be 1.23 standard deviations BELOW the mean)   The mean is 100 and the size of the standard deviation is 15.  So the...

The product of 2 binomials is also referred to as "FOIL" or double distribution. Each term in the first factor must be multiplied by each term in the second factor.  These terms are added.   So, the 2x needs to be multiplied by (2x-8) and the +8 needs to be also multiplied by (2x-8)...

# Transformations with exponential and logarithmic functions (answer)

Hi Jazlyn,   Did the function need to be graphed on a set of axes?  If so, maybe I can walk you through it.  The answer from Shaung will give you the inverse function since it solved for x but didn't address the topic of transformation.   First off - it is a transformation of the...

# Square feet less a fraction (answer)

I think this would be easier to use improper fractions since you are going to have to multiply.  Also, since 2-11/63 is NOT a reasonable width, possibly the area of the kitchen is 1.75 the area of the room (not 1 minus 3/4 = 1/4).  So here goes:   The area of the room is 99-3/7 = 696/7....

"What is the probability that no consecutive heads occur on three tosses of a coin?"  This can be interpreted to include any occurrences of HH as well as HHH on the 3 tosses.   Using Vivian's set of all possibilities, "no consecutive heads" appear on outcomes 2,4,5,6, and 7.  That is 5 of...

I think this is what you are looking for: The distributive property is multiplication (or division) over addition (or subtraction). 6*13 = 6*(10+3) = 6*10+6*3 = 60+18 = 78   This rewrites the 13 as 10+3 and clears the parenthesis by multiplying over them.  Sometimes you see this...

# This is a math Q (answer)

What if you write it like this: pi * 25 * 12         3 When you multiply by 1/3 it is the same as dividing by 3.  Since multiplication and division are on the same level in Order of Operations, you can see that 12/3  = 4.  So the problem becomes: pi * 25 * 4 = pi * 100 which...

# How do you remember the measurement easily? (answer)

If its the metric system, I use the following to remember the prefixes: King Henry Drank My Delicious Chocolate Milk Kilo, Hecto, Decka, middle, Deci, Centi, Milli "middle" can be replaced by Meter, Liter, Gram.  Those ending in "i" are smaller than the unit measurement.  For example:...

# The absolute value of a, decreased by 22 (answer)

It seem that there is more to the problem with the "use x as the variable" directions.  The absolute value of an expression is a function that "wipes away" the sign.  It represents the distance from zero. The absolute value of a => |a| in symbols decreased by 22 => subtract 22 Puting...

# Gab sold 65 tickets. Gab sold 25 less than two times Pat sold. Pat sold 30 more than joe. How many ticket did they sell? (answer)

Gab's tickets = G = 65 Pat's tickets = P = x Joe's tickets = J = y 1) Gab sold 25 less than two times Pat sold: G = 2x - 25 (but G = 65) 2) Pat sold 30 more than Joe: x = y + 30 From equation (1), 65 = 2x - 25 ==> 90 = 2x ==> x = 45 From above and equation (2), 45 = y +...