4th Hour, Lesson 3-4

Today we worked on Dimensional Analysis. Here is an example.
If you know that a cheetah can run at about 300 ft. / 2.92 sec and you want to get to miles/hour then this is what you do. /= Per, *= Times
300 ft/2.92 sec.* (1 mile/5280 ft)*(60 sec/1 min.*60 min/1 hr.)
You are trying to get to miles per hour, You are trying to get from seconds to hours but you
so there is 1 mile in 5280 ft. but you cant just go from minutes to hours so you have to go from seconds to minutes to hours.
1
30o f\t/2.92 s\ec.* 1 mile/52\80 f\t.* 6\0 se\c/1 mi\n*60 m\in./1 hr.
88
#1. Cancel the ft. #2. Cancel the seconds. #3. Cancel the minutes.
#4. Divide 5280 and 60 by 60.

Achettah can run at about 70 miles / hour

5th hour 2-7

to find the probability with replacements you take the number of over the total number of then with the replacement it will be the same as the first, with out the replacement you find the probability except you subtract the the number of from the total all together and find the probability with the new total number. to find the compound probability with replacements you take to different probabilities and multiply, but to find compound probabilities without replacements you take one probability and get another that is a probability without replacements and multiply.

4th hour probability of compound events

PROBABILITY OF TWO INDEPENDENT EVENTS

you multiply both independent events to find the probability of the event

PROBABILITY OF TWO DEPENDENT EVENTS

you find the probability of A and you don't replace it to find B

then you multiply the dependent events to find the probability of the event

theoretical probability: what should happen
experimental probability: what does happen when tested
odds: likelihood of an event by comparing favorable and unfavorable outcomes.


EX: theoretical- if I flip a coin 50 times the outcome should be 25 heads, 25 tails.
experimental- if I flip a coin 50 times the probability would'nt be 25 head, 25 tails.
odds: 1:1

4th hour 2-6

Hey y'all,

Today's topic was probability. The two types of probability are experimental and theoretical. Experimental probability is when you actually test something such as flipping a coin fifty times, you may not actually get tails 25 times. Theoretical probability is when you know what should happen in the perfect test like if you flipped a coin 100 times you would get tails 50 times. Hope you understand what I'm trying to say.

5th hour 2-5

Today we learned some math properties. Commutative property of addition; a+b=b+a for an Example 8+9=9+8. Commutative property of multiplication; a x b+b x a Example 13x14+14x13.
Associative property of addition; (a+b)+c=a+(b+c) Example (6+7)+3=6+(7+3). Associative property of multiplication ; (a x b)x c=a x(b x c) Example (9x8)x3=9x(8x3). Identity property of addition; a+0=a Example 9+0=9. Identity property of multiplication; a x 1=a Example 5x1=5.
Inverse property of addition; for every a, there is an additive inverse -a such that a+(-a)=0 Example 9+(-9)=0. Inverse property of multiplication for every a (a=/=0), there is a multiplication inverse 1 over a such that a(1 over a)=1 Example 7x1 over 7 =1. Symmetric property if a=b, then b=a, Example 9x4=36 then 36=4x9. Distributive property a(b=c)=ab+ac Example 1(9+7)=1x9+1x7; a(b-c)=ab-ac Example 2(4-7)=2x4-2x7. Multiplication property of Zero for every real number n,nx0=0 Example 23x0=0. multiplication property of - 1 for every real number n,-1xn=-n Example -1x(-34)=34.