It would be 2 root 2
bc it simplifies to root 2 and root 4
root 4 simplifies to 2
so its 2√2
Answer:
f(x) = sec x. tan x
⇔ f(x) = 1/cosx . cosx/sinx
⇔ f(x) = sin x
+) when f(x) is increasing => sin x increases
=> x will increase
+) f(x) is decreasing => x will decrease
+) f(x) is concave up => x ∈ (-pi/2; 0)
+) f(x) concave down => x ∈ (0; pi/2)
Step-by-step explanation:
Answer:
a) P(2)=0.270
b) P(X>3)=0.605
c) P=0.410
Step-by-step explanation:
We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

a) In this case: 

Therefore, the probability is P(2)=0.270.
b) In this case: 

Therefore, the probability is P(X>3)=0.605.
c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.
In this case: 

Therefore, the probability is P=0.410.
Let
x--------> the number of children
y------> the number of teenagers
z------> the number of adults
we know that
------> equation A
-----> equation B

-------> equation C
Substitute equation C in equation A and equation B
![2[\frac{4}{3}y]+3y+5z=1,950](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B4%7D%7B3%7Dy%5D%2B3y%2B5z%3D1%2C950)
--------> equation D
![[\frac{4}{3}y]+y+z=570](https://tex.z-dn.net/?f=%5B%5Cfrac%7B4%7D%7B3%7Dy%5D%2By%2Bz%3D570)
--------> equation E
Multiply equation E by 
--------> equation F
Adds equation D and equation F

therefore
<u>the answer is the option</u>
