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1.) In a National Achievement Test, the mean was found to be 75 and the standard deviation was 15. The scores also approximate the normal distribution.
a. What is the minimum score that belongs to the upper 15% of the group?
b. What is the two extreme scores outside of which 15% of the group are expected to fall?
c. What is the score that divide the distribution into two such that 75% of the cases below it?
d. Estimate the range of scores that will include the middle 45% of the distribution.
Pls Include solution:)
A coin tossed thrice. Find:
a. The probability of getting exactly 3 heads.
b. The probability of getting exactly 2 tails.
c. The probability of getting atmost 1 head.
d. The probability of getting atleast 1 tail.
use newton raphson method :
sin ( x + π/2) - ln |x| =0
1. P23
2. P51
3. P63
4. P49
5. P88
6. P93
7. P90
8. P12
9. P75
10.P100
- Data from the school clinic shows that the average height of grade 11 students is 160 cm with a population standard deviation of 1.5. A sample of 50 students has an average height of 164 cm. Test the hypothesis that the average height is 160 cm.
a) formulate the null and alternative hypothesis
b) Determine what test statistic to use
c) Calculate the test statistic value
How can the use of technology (calculators, computers and the internet) and media enhance the learning of school mathematics?
Solve the corresponding equation for the appropriate interval by using the following two root finding techniques :
a) algebraic approach
sin(x+ π /2) - ln |x| = 0
ACTIVITY IN BASIC CALCULUS
QUOTIENT RULE
I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.
- "\\frac{x^2-7x}{2x^3+5x^2}"
- "\\frac{3x^2+7x-14}{x^3-4x^2}"
- "\\frac{2x^3+8x^2}{x^2+6x^2-10}"
II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.
1. Example must have two different terms in numerator, and three different terms in denominator
eg. (do not copy)
\ny="\\frac{8x^2-3x}{x^2+6x^2-10}"
2. Example must have three different terms in numerator, and three different terms in denominator
eg. (do not copy)
\ny="\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"
ACTIVITY IN BASIC CALCULUS
QUOTIENT RULE
I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.
- "\\frac{x^2-7x}{2x^3+5x^2}"
- "\\frac{3x^2+7x-14}{x^3-4x^2}"
- "\\frac{2x^3+8x^2}{x^2+6x^2-10}"
II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.
1. Example must have two different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{8x^2-3x}{x^2+6x^2-10}"
2. Example must have three different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"
ACTIVITY IN BASIC CALCULUS
QUOTIENT RULE
I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.
- "\\frac{x^2-7x}{2x^3+5x^2}"
- "\\frac{3x^2+7x-14}{x^3-4x^2}"
- "\\frac{2x^3+8x^2}{x^2+6x^2-10}"
II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.
1. Example must have two different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{8x^2-3x}{x^2+6x^2-10}"
2. Example must have three different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"
