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- There were ten red bottles sitting on the wall. The probability of a red bottle accidentally falling is 0.95. What is the probability that fewer than 8 of the green bottles accidentally fall?
Find the solution set of the following using 3 methods. Show your solutions, then submit your answer to your eLMS dropbox.
1. 2x + y = 15
x - y = 9
1. A certain radioactive element has a half-life of 5 hours. If its initial mass is at
6,470 grams, how many grams are left after 2 days?
2. Carlo’s online investment is worth Php870,000 on its 3rd year and Php650, 000
on its 7th year. What is the worth of his initial investment?
3. The pressure exerted on us by the atmosphere decreases exponentially as you
go up. The pressure at ground level is 1,013 hPa and decreases to 965 hPa at
381 meters. What is the pressure at the summit of Mt. Apo which is at 2,954
meters?
4. A strain of bacteria growing on the palm of your hands is 9 bacteria after 6
minutes. If you start with only one bacterium and follows an exponential growth
model, how many bacteria could be present at the end of 1 hour?
5. A certain breed of rats doubles its population every 2 months. Assuming there
were only 6 rats initially at a certain area, how many months will it take for the
population to grow to 68 rats?
Identify the t-value given the following. Use the T-table provided in this module.
Confidence Level
Tailed Test
Given
T critical Value
90%
Two - Tailed Test
df = 23
95%
One - Tailed Test
df = 12
99%
Two - Tailed Test
n = 25
90%
One - Tailed Test
n = 11
1.An investigator predicts that dog owners in the country spend more time walking their dogs than do dog owners in the city. The investigator gets a sample of 12 country owners and 15 city owners. The mean number of hours per week that city owners spend walking their dogs is 10.0. The standard deviation of hours spent walking the dog by city owners is 4.0. The mean number of hours country owners spent walking their dogs per week was 12.0. The standard deviation of the number of hours spent walking the dog by owners in the country was 5.0. Do dog owners in the country spend more time walking their dogs than do dog owners in the city?
Accomplish the table below:
Dog Owners
Mean
Standard Deviation
Sample Size
Country
City
A researcher wishes to determine the performance level of students with pre-school education and with no preschool education. Fifteen senior high school students with pre-school education and fifteen senior high school students with no pre-school education were randomly selected and the results are tabulated below.
Education
(mean)
(standard deviation)
(sample size)
With pre-school education
89.4
3.25
15
With no pre-school education
85.2
2.85
15
Is it safe to conclude that those with pre-school education have a better performance than those with no pre-school education? Use 99% level of confidence
Write the balanced redox equation for: I- + OCl- ---> I2 + Cl2
Write the balanced redox equation for: NO + Cu2+ ---> NO3- + Cu
Cobalt-60 is used extensively in medicine as source of Y-rays .
What is the half life of Co-60 it's takes 13.0 years to decrease the original activity to 18.0%?
A TV manufacturer claims that the life span of its regular TV sets is longer than 10 years. Using a random sample of their 25 TV sets, the average life span is found to be 11.9 years with a standard deviation of 1.8 years. Test the hypothesis that the TV sets' life span is longer than 10 years at cx = 0.10
