Logic
p → q ^ ~r
What is the most ...
1. Dominant connective
2. Rewrite statement with brackets
3. Type of statement
1. →
2. p → (q ^ ~r)
3. Conditional
Lengths of pregnancies of women are normally distributed with a mean of 266 days and a standard deviation of 16 days. What percentage of children are born from pregnancy lasting more than 274 days?
30.85% of pregnancies last more than 274 days.
A particular pattern of selection. For example, each 6th person who walks down a hall might be selected for an interview
Systematic Sampling
Ernest Rutherford classified into three distinct types according to their penetrating power. Name and explain all three types.
1. Alpha decay (α) – positively charged; can barely penetrate a piece of paper
2. Beta Decay (β) – negatively charged; pass through as much as 3mm of aluminum
3. Gamma Decay (γ) – neutral; Extremely penetrating
Express 0.58 as a quotient of integers
(58 is repeating)
n=58/99
Write the equivalent statements of the following
sentences:
• All instructors in MRU have a PhD degree
• Some students do not work hard
There are no instructors in MRU that do not have a PhD degree.
Not all students work hard.
You deposit $5000 in an account that pays 6% interest compounded daily.
a. Find the future value after one year.
b. Use the future value formula for simple interest to determine the effective annual yield
a. A = 5000( 1 + r/n )365×1 = $5,309.2
b. 5,309.2=5000 [1 + (r×1)] therefore 1.062= 1+r
r = 1.062 – 1 = 0.062
r = 6.2% the effective annual yield
Name all the scientific methods.
Observation - Hypothesis - Experiment - Analyse Results _Hypothesis True/False - Report Results
Palladium-100 (Pd-100) has a half-life of 3.6 days. If one had 6.02 × 1023 atoms at the start, how many atoms would be present after 20.0 days?
Q= 0.128 × 10^23 or 1.28 × 10^22
Convert this Mayan numeral into a Hindu-Arabic numeral
... __
0
...
. __ __
13 x 18 x 20 x 20 = 93600
0 x 18 x20 = 0
8 x 20 = 160
16 x 1 = 16
______________________
= 93776
Use De Morgan’s laws to write a statement that is equivalent to the given statement. It is not the true that Australia and China are both islands.
~ (p q) =˄ ~ p ˅ ~q
Australia is not an island or China is not an island
You decide to invest $8000 for six years and you have a choice between two accounts. The first pays 7% per year, compounded monthly. The second pays 6.85% per year, compounded continuously. Which is the better investment?
A = P(1+r/n)nt = 8000 (1+r/n)12×6 = 12,160.84
A = Pert = 8000 × e (0.0685 × 6) = 12,066.60
The 7% compounded is the better one
Name all 6 pieces of evidence Wegener has for continental drift.
1) The continents fit together like a jigsaw puzzle
2) Fossils of a cold climate plant are also presently found in warm climates. (Glossopteris)
3) The range of a reptile fossil was split over continents. (Mesosaurus)
4) Geologic features seem split across the continents
(Appalachian Mountains in North America, and Caledonian Mountains in British Isles/Norway)
5) Greenland and Europe were measured to be moving apart (though Wegener’s calculations were a bit off)
6) There was evidence of ice-sheets on land near the equator.
a. If the P wave velocity is 6 km/s, and the S wave velocity is 4 km/s, and there is a 5-second delay between the P and S waves what is the distance?
b. How much more energy does an ML = 4 earthquake release than a ML = 1 earthquake?
a. d= 60km
b. E= 31600 km
a. Convert v << < vv into Hindu-Arabic Numerals
b. Convert 1001two into Hindu-Arabic Numerals
a.(1×603) + (10+10) × 602 +(10×601)+(1+1) ×1
= 216,000+72,000+600+2
=288,602
b. (1×8) + (0×4) + (0×2) + (1×1)
= 8 + 0 + 0 + 1
= 9
Construct a truth table
If it rains or snows, then I read.
I am not reading
___________________________
⸫ it is neither raining or snowing
Question 2
The scores for the test were 85, 86, 100, 76, 81, 93, 84, 99, 71, 69, 93, 85, 81, 87, and 89. Find the Standard Deviation
8.7 is the standard deviation
A group of MRU students wants to study the effect of small electric pulse generators in reducing blood pressure. After preparing the self-powered generators, the students test them on groups of rats with small blood pressure devices on their backs. One group of rats wears the generators with the electrical current on, while the other group wears the same generators but with the electrical current off. In this experiment:
a. What is the experimental group?
b. What is the control group?
c. What is the control variable in this experiment?
d. What is the dependent variable? Reducing the blood pressure.
e. What is the independent variable? The electric impulse generators.
f. Some rats in the first group die after three days and students get rid of the data related to these
rodents. What type of bias is there in this study?
g. If the company who makes these e-generators funds this research, what type of bias might exist in
this research work?
a. The group of rats wearing the generators with the electrical current on.
b. The group of rats wearing the generators with the electrical current off.
c. Both groups wear the generators.
d. Reducing the blood pressure.
e. The electric impulse generators.
f. Attrition bias
g. Funding bias
What is the difference of chemical and nuclear reactions?
In chemical reactions, such as combustion, molecules are converted into other molecules by the rearrangement of atoms and the rearrangement of the connectivity of the various atoms.
Nuclear reactions occur when nuclei are converted into other types of nuclei by rearrangement of the nucleons. “Nucleons” are the particles in the nucleus – the protons and neutrons.
33 four
+ 13 four
_________
?
112 four
Married people are healthier than single people and more economically stable than single people, and children of married people do better on a variety of
indicators. Construct a truth table, and tell me if its a self-contradiction.
Page 7
What is the Correlation Coefficient
X | Y
43 | 99
21 | 65
25 | 79
42 | 75
57 | 87
59 | 81
0.53
Name all 4 diseases that are caused by microbes and what they are.
1) Bacteria: Single-celled organisms, we share our bodies with bacteria. Good are called normal flora and bad are called pathogens
2) Eukaryotic Protists: These protists can be single-celled or multi-celled and make their living through photosynthesis, parasitism, or consumption of other organisms. (e.g Malaria)
3) Fungi/moulds: Most are good like yeast or penicillin, however, some fungi can become pathogenic, causing fungal infections (mycosis)
4) Viruses: Viruses carry genetic material, reproduce, and evolve through natural selection, but lack cell structure and do not have self-generated actions. Viruses invade the host organism, destroying cells as they reproduce
Name all 4 seismic waves and what their differences?
Body waves
P-waves: The first is the primary, or P, wave. These waves are the fastest and are the first wave of an earthquake to be felt and recorded. They move much like sound waves, as compressions, in a push-pull action.
S-waves: In the secondary or S waves, the particles move up and down, perpendicular to the wavefront.
Surface Waves
Rayleigh Waves: Rayleigh waves move in a rolling fashion, like ocean waves curling backwards.
Love waves: Love waves move in a perpendicular, side-to-side motion.
3 four √222 four
32 four