<span>Area is base times height, so 9h = 36, h = 4
sine of base angle will be 4/6 = 2/3
So, the answer is A) 2/3
Hope this helps!
</span>
Answer:
a) P(X=41)= 0.0086 = 0.86%
b) P(36≤X≤38)== 0.1215 = 12.15%
c) would be unusual that fewer that 20 murders were cleared because P(X≤20) = 0.000081 =0.0081%
Step-by-step explanation:
if the random variable X= number of cleared murders , then X follows a binomial distribution:
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)
where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)
therefore
a) P(X=41)=50!/[(50-41)!*41!]*0.67^41*0.33^(50-41)= 0.0086
b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215
c) P(X≤20) = 0.000081
therefore would be unusual that fewer that 20 murders were cleared
Answer:
syd is 23 and dev is 69
Step-by-step explanation:
Let Dev's age be x and Syd's age be y
Since Dev is 3 times older than Syd, we may write
x
=
3
y
Since the sum of their ages is 92, we may write
x
+
y
=
92
Now replacing x with 3y, we get :
3
y
+
y
=
92
Hence
y
=
92
4
=
23
and so Syd is 23 year old.
Back substituting we get Dev is 69 years old.
Answer:
No
Step-by-step explanation:
y^2 = x^2 + 5
Rewriting
y^2 - x^2 = 5
This is a hyperbola
We can use the vertical line test to show that it is not a function since a vertical line passes through more than one point.
A is your answer 3.4
Use Pythagorean Theroum
10.2 squared = 9.6 squared + x squared
104= 92.6+x squared
x squared = 11.4
x= 3.37
round x to 3.4
Hope that helps!
