Step-by-step explanation:
sin(s+t) = sin(s)+cos(t) which results
(sin(s)×cos(t))/(cos(s)cos(t)) + (cos(s)×sin(t))/(cos(s)cos(t))
knowing that tan=sin/cos and that cos/cos=1 and sin/sin=1
resulting tan s ×1 + tan t × 1 = tan s + tan t
Answer: 0.2119
Step-by-step explanation:
We assume that the random variable X is normally distributed.
Given : Population mean : 
Standard deviation : 
Z-score : 
Then, z-score corresponds to 116

By using the standard normal distribution table for z , we have


Hence, the required probability = 0.2119
Thay are:-
10*5^1, 10*5^2 , 10*5^3, 10*5^4
= 50, 250, 1250 and 6250 answer
Answer:
4/7
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Given
Total outcome = 2blue ties+1red tie+2blue coats+2orange coats
Total outcome = 7
If he wears a blue tie, then the expected outcome will be 2.
Probability that he wears blue tie = 2/7
If he wears a blue coat, then the expected outcome will be 2.
Probability that he wears blue coat = 2/7.
The probability that he wears either a blue tie or a blue coat will be 2/7+2/7 = 4/7