Answer:
(a) 5/7 chance
(b) 2/7 chance
(c) 5/7 chance
Step-by-step explanation:
Event X: There are 3 letters that come before "D". A, B, and C. There is a 3 out of 7 chance of picking one of those letters. (3/7)
Event Y: There are 4 letters in "C A G E". Those 4 letters are in the 7 first letters of the alphabet meaning that they are in our pile of tiles. There is a 4 out of 7 chance of picking one of those letters. (4/7)
(a) Since there is a 3/7 chance of Event X happening and a 4/7 chance of Event Y happening, there is a <u>5/7 chance</u> of either Event X or Event Y happening since tiles "A" and "C" are included in both events.
(b) Since there is a 3/7 chance of Event X happening and a 4/7 chance of Event Y happening, there is a <u>2/7 chance</u> of both X and Y happening since there are only 2 tiles that are the same in both events, "A" and "C". (We are only allowed to pick one tile)
(c) The complement of Event Y is 1-4/7=<u>5/7 chance</u>.
Answer:
3x+2=3x-2
Step-by-step explanation:
The second equation has no solution, because is not true
so
3x+2=3x-2 ------> is not true
therefore
The equation has no solutions
Answer: x>-4
Step-by-step explanation:
Answer:
B. 6 sides
Step-by-step explanation:
Interior angles of a n side Regular Polygon = (180n – 360) / n
120 = (180n – 360) / n
120n =180n - 360
180n - 120n = 360
60n = 360
n = 6
check: sum of interior angles of 6 side polygon: 180 * (6-2) = 720
720/6 = 120
Answer:
The amount of interest is $5580.
Step-by-step explanation:
Given : Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years.
To find : The amount of interest he will pay with the loan ?
Solution :
Using interest formula,
Where, P is the principal P=$30,000
R is the rate of interest R=6.2%=0.062
T is the time t=3 years.
Substitute the value in the formula,
Therefore, The amount of interest is $5580.