Answer:
The probability is 0.97
Step-by-step explanation:
In this question, we are concerned with calculating the probability of a student spending time reading or watching TV.
To calculate this, we simply use a direct mathematical formula.
P( of spending time reading or watching tv) = P(of spending time reading) + P(spending time watching Tv) - P( of spending time watching Tv and reading)
From the question, we identify the probabilities as follows;
P(spending time reading) = 0.1
P(of spending time watching Tv) = 0.9
P(of spending time watching Tv and reading) = 0.03
Now, plugging these values, we have
P( of spending time reading or watching Tv) = 0.9 + 0.1 -0.03
= 1-0.03 = 0.97
Answer:
tan²x + 1 = sec²x is identity
Step-by-step explanation:
* Lets explain how to find this identity
∵ sin²x + cos²x = 1 ⇒ identity
- Divide both sides by cos²x
∵ sin x ÷ cos x = tan x
∴ sin²x ÷ cos²x = tan²x
- Lets find the second term
∵ cos²x ÷ cos²x = 1
- Remember that the inverse of cos x is sec x
∵ sec x = 1/cos x
∴ sec²x = 1/cos²x
- Lets write the equation
∴ tan²x + 1 = 1/cos²x
∵ 1/cos²x = sec²x
∴ than²x + 1 = sec²x
- So we use the first identity sin²x + cos²x = 1 to prove that
tan²x + 1 = sec²x
∴ tan²x + 1 = sec²x is identity
Answer:
i
Step-by-step explanation:
