(d) There are two alternatives: (i) Winning $1 if the sum of the 200 numbers drawn is between –5 and +5 6 Winning $1 if the average of the 200 numbers drawn is between –0.025 and +0.025. Which is better, or are they the same? The number of draws is n=200 (a) average=sum/n = (30/200) = 0.15 (b) average=sum/n = (-20/200) = -0.1 (c) Average = sum/200 (d) (i) and (ii) are the same. –0.025 = (-5/200) and 0.025=(5/200). So if –5 happens, -0.025 is happening, too, and if 5
Then divide each term by GCF to determine what is left inside the parentheses.) Example 2: 18x2y3z5 - 24x5y2z + 30x3y4z2 Solution: 6x2y2z(3yz4 - 4x3 + 5xy2z) 2. Look to see if it is a difference between two perfect squares. (need 4
MAT221: Introduction to Algebra Week 5 Discussion Factoring According to what I calculated, the GCF of 92 and 64 is 4. I found this answer by : Divisor 92 divided by 4 equals 23 and 64 divided by 4 equals 16. I used the factor of numbers to help me. 92/4=23 1,2,4,23,46,92 2/24 2/12 2/6 3/3 64/4=16 1,2,4,8,76,32,64 24=2x2x2x3 Prime factors are also know as natural numbers. It means a number that is more than one and I can only divide it by one, and has no remaining numbers.
Given is the augmented matrix of a system of equations: 1 5 6 2 7 1 3 5 1 5 7 13 Write the new form of the augmented matrix after the following row operations. R1 r1 r3 , R2 r2 7r3 6. Four times the number of white marbles exceeded 9 times the number of red marbles by 10. The ratio of blue marbles to red marbles was 3 to 1. There is a total of 65 marbles of all 3 colors.
Show the steps of conversion that you used. Adding leading zeroes creates the number 001101102 which can be split into 00112 and 01102 the hexadecimal value for these two bytes are 316 and 616 respectively so this number would be 3616 Exercise 1.3.6 Represent the hexadecimal value f616 in binary and decimal. Show the steps of conversion that you used. F16 = 11112 and 616 = 01102 when put together the binary value is 111101102 which is equal to 246. Lab 1.3 review 1.
Both of these formulas were found on page 225 in Mathematics in Our World (Bluman, 2005). Problem #37 • This sequence is geometric • Ending balance is $814.45 STEPS/CALCULTATIONS YOU PERFORMED TO REACH THE ANSWER: To find the ending balance, the formula of An = a1(rn-1) will be used. The initial balance is $500, the interest is 5%, and the time span is 10 years. 5% will be listed as 1.05 as the initial balance is 100% plus 5% interest, so 105% is written 1.05. The number of terms is n=10, the first term is a1=525, the common ratio is r = 1.05.
Then use the multiplication principle and then use the elimination method: 3x=8y+11 x+6y-8=0 9. A vending machine contains nickels and dimes worth $14.50. There are 95 more nickels than dimes. How many nickels and how many dimes are there? 10.
The R-squared value shows us the correlation between the two variables in each graph that we were comparing. A consistent, precise R-squared value would be ideally 1. In all three cases, only one of our methods gave us this result: Titration. So given our results titration was the most precise method. But, our Ideal Gas Law method was more precise than crystallization from the previous week due to our newly found R-squared value of 0.8909.
1,248 b. 1,238 c. 1,148 d. 1,338 4. Multiply: 4,628 x 226 a. 1,045,928 b. 1,054,848 c. 1,405,888 d. 1,045,828 5.
10x + 30 y <=200 x + y >=10 10. Set Y axis as money Draw a horizontal line at $1000 Starting from zero, draw a line increasing a $20 per table up until it touches the $1000 line. This represents the number of round table bought. Draw a second line downwards, starting at x=0 and descending in $25 units as an accumulation on the first line. This represents the number of rectangular tables bought.