<span>-8 3/4 = -35/4
...................................................</span>
Answer:
1) cos (3x)
2)
Step-by-step explanation:
Given expression:
cos(7x)cos(4x)+sin(7x)sin(4x)
By using the trigonometric identity
cos(a)cos(b) + sin(a)sin(b) = cos(a-b)
we have:
cos(7x)cos(4x)+sin(7x)sin(4x) = cos(7x - 4x)
= cos(3x)!
part 2:
tan (-π/12)
by using property tan(-x)= - tan(x)
=-tan(π/12)
= - tan(π/6 / 2)
Using tan(x/2) =
= -
cos π/6 =
= -
= -
= - 2+
=
!
Answer:
a) P=0.2861
b) P=0.0954
c) P=0.3815
d) P=0.6185
Step-by-step explanation:
The question is incomplete:
<em>Among the N=16 students taking a graduate statistics class, A=10 are master students and the other N-A=6 are doctorial students. A random sample of n=5 students is going to be selected to work on a class project. Use X to denote the number of master students in the sample. Keep at least 4 decimal digits if the result has more decimal digits.
</em>
<em>
</em>
<em>a) The probability that exactly 4 master students are in the sample is closest to?
</em>
<em>
b) The probability that all 5 students in the sample are master students is closest to?
</em>
<em>
c) The probability that at least 4 students in the sample are master students is closest to?
</em>
<em>
d) The probability that at most 3 students in the sample are master students is closest to?</em>
<em />
We use a binomial distribution with n=5, with p=10/16=0.625 (proportion of master students).
a)
b)
c)
d)
Area of flask: 63.62
Diameter: 4.5
Radius: 4.5 divided by 2
Radius: 2.25
Pi: 3.14
Volume:
1- 4/3(PI)(radius) by cubic square
2- 4/3(3.14)*(2.25) by cubic square
Answer: 47.71
Area of tank:
7-2=5
(it tells u to leave 2cm of the height without water)
15(L) x 9(W) x 5(D) = 675
675-47.71= 627.69
1 Liter= 1000 Cm
627.69 Cm = 0.62769 Liters
( round to nearest 0.1 liter )
Answer: 0.6 liters
A