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(d2y/dx2) - y = 4/(1+e^x)
1. A researcher wants to compare the performance of students living with their parents and
the performance of these students whose parents are working. Random samples were
taken from two normally distributed groups of population. 20 students who are living
with their parents posted an average grade of 89.25 with standard deviation of 2.4,
whereas the 15 randomly selected students whose parents are working abroad have an
average grade of 86.00 with standard deviation of 3.2. Test whether there is a significant
difference between the two groups of students at 0.05 level of significance.
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The probability to win a fund raising lottery is 0.3. What is the probability that exactly 2 out of 5 tickets win?
1. Louie wants to estimate the average value of the lot in his town with 99% confidence interval. Use his random sample of 36 lots with an average value of Php251, 131.42 and a standard deviation of Php1 321.467 to find the confidence interval.
2. A survey conducted for 200 students to determine if they need financial assistance in their studies, it found out that 168 of them needed this assistance. Find the 90% confidence interval for the population proportion of students needing loans or scholarships.
1. A study of 40 SHS English teachers established that they spent 12.6 minutes revising a student’s term paper.
- Find the 90% confidence interval in the mean time for all composition papers when minutes.
- If the teacher affirmed that she spent an average of 30 minutes revising a term paper, what would be your reaction?
2. Find the sample size to estimate a population mean within 95% confidence if the standard deviation is 6.2.
3. The prices for LED are listed: 22 500, 24 000, 21 500, 20 200, 20 600, 21 100, 210 000, 19 300, 25 000 and 22 500. Estimate the true mean of the data set with 90% confidence level.
A bakeshop owner determines the number of boxes of pandesal that are delivered each day. Find the standard deviation of random variable X=number of boxes of pan desal that are delivered each day.
Z= - 220 sqrt (3) + 220i write in exponetial form
Prove or disprove that in Z[x], the ideal <x> + <3> is a principal ideal.
1. What is the value of x after each of these statements is encountered in a computer program, if x = 1 before the statement is reached?
a) if x + 2 = 3 then x := x + 1
b) if (x + 1 = 3) OR (2x + 2 = 3) then x := x + 1
c) if (2x + 3 = 5) AND (3x + 4 = 7) then x := x + 1
d) if (x + 1 = 2) XOR (x + 2 = 3) then x := x + 1
e) if x < 2 then x := x + 1
2. Find the bitwise OR, bitwise AND, and bitwise XOR of each of these pairs of bit strings. a) 101 1110, 010 0001
b) 1111 0000, 1010 1010
c) 00 0111 0001, 10 0100 1000
d) 11 1111 1111, 00 0000 0000
3. Evaluate each of these expressions. a) 1 1000 𝖠 (0 1011 ∨ 1 1011)
b) (0 1111 𝖠 1 0101) ∨ 0 1000
c) (0 1010 ⊕ 1 1011) ⊕ 0 1000
d) (1 1011 ∨ 0 1010) 𝖠 (1 0001 ∨ 1 1011)
The narrowness and wideness of a curve is determined by the standard deviation of the distribution. *
#339914 on Dec 2023