Answer:
3X+3+10X-4=90
13X-1=90
13X=91
X=91/13=7
<K=10X7-4
70-4
<K=66(SUM OF COMPLEMENTARY ANGLE =90)
<K=24
Answer:
Step-by-step explanation:
sin²β + sin²β×tan²β = tan²β
sin²β( 1 + tan²β ) = tan²β
~~~~~~~~~~~~~~~~
<u><em>sin²β + cos²β = 1 </em></u>
<u><em /></u>
+ 
= 
⇒ tan²β + 1 = sec²β ⇔ 1 + tan²β = sec²β
~~~~~~~~~~~~~~
1 + tan²β = 
L.H. = sin²β ( ) = tan²β
R.H. = tan²β
Answer:
the probability that no customer will arrive in the next 6 minutes = 0.36788 = 0.368
Step-by-step explanation:
If there are 10 customers per hour, this translates to 1 customer per 6 minutes
So, if there's a mean of 1 customer per 6 minutes, to obtain the probability that no customer will come in a 6 minute interval, this becomes a Poisson distribution problem.
The Poisson distribution formula is given by
P(X = x) = (e^-λ)(λˣ)/x!
where λ = mean = 1 customer per 6 minutes
x = 0 customer per 6 minutes
P(X=0) = (e⁻¹)(1⁰)/0! = 0.36788 = 0.368
First, move 9x^2 to the right:
7y^2 = 42 - 9x^2
Then, divide 7 on both sides:
y^2 = 6 - 9/7 * x^2
