Answer:
sin ∅ = 16 /34
cos ∅ = 30 /34
tan ∅ = 16 /30
Step-by-step explanation:
SOH CAH TOA
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
the hypotenuse is always across from the right angle and has the longest side
So first we divide 140 by 7 because our ratio is a total of 7 dollars to get 20
So we multiply both sides of the ratio by 20 to get a ratio of 40:100
We can check our answer and it is right because 100+40=140
Answer:
It is 6.5 meters
The centimeter practical unit of length for many everyday measurements. A centimeter is equal to 0.01(or 1E-2) meter.
Answer:
a) 0.96
b) 0.016
c) 0.018
d) 0.982
e) x = 2
Step-by-step explanation:
We are given with the Probability density function f(x)= 2/x^3 where x > 1.
<em>Firstly we will calculate the general probability that of P(a < X < b) </em>
P(a < X < b) =
=
=
{ Because
}
=
=
=
=
a) Now P(X < 5) = P(1 < X < 5) {because x > 1 }
Comparing with general probability we get,
P(1 < X < 5) =
=
= 0.96 .
b) P(X > 8) = P(8 < X < ∞) = 1/
- 1/∞ = 1/64 - 0 = 0.016
c) P(6 < X < 10) =
=
= 0.018 .
d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)
=
+ (1/
- 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982
e) We have to find x such that P(X < x) = 0.75 ;
⇒ P(1 < X < x) = 0.75
⇒
= 0.75
⇒
= 1 - 0.75 = 0.25
⇒
=
⇒
= 4 ⇒ x =
Therefore, value of x such that P(X < x) = 0.75 is 2.
Answer:
61
Step-by-step explanation:
he read first 74 and need to
= 74-30
=44