9. You need an exact answer. So I will give you it but I'll also give you an approximation because it might help you understand it more.
Because we know the cosine fo theta, we can evaluate the inverse cosine of -2/3 first to find theta.
= 131.81° approx.
Because 131.81° is in the second quadrant its third quadrant partner is 228.19°. Which would make the sine 0.75 approximately.
But we need an exact answer I suppose so which is this disgusting mess.... I know it looks scary but it is basically all the steps we just did but without evaluating anything.
This can be simplified using: sin(x− y) = sinxcosy−cosxsiny
To...
answer:
10. Okay. So because we have a point we can say that...
θ =
sin(θ) = +sin()
11. arcsin(-0.37) = = -21.72°+2kπ or 201.72°+2kπ approx. where k has to be an integer
answer: idk if you want one or more solutions so I gave you them all.
12. arccos(-√3/2) =
Remember that "k" must be an integer.
answer: 5π/6
Answer:
Step-by-step explanation:
This is a conditional probability exercise.
Let's name the events :
I : ''A person is infected''
NI : ''A person is not infected''
PT : ''The test is positive''
NT : ''The test is negative''
The conditional probability equation is :
Given two events A and B :
P(A/B) = P(A ∩ B) / P(B)
P(A/B) is the probability of the event A given that the event B happened
P(A ∩ B) is the probability of the event (A ∩ B)
(A ∩ B) is the event where A and B happened at the same time
In the exercise :
We are looking for P(I/PT) :
P(I/PT)=P(I∩ PT)/ P(PT)
P(PT/I)=P(PT∩ I)/P(I)
0.904=P(PT∩ I)/0.025
P(PT∩ I)=0.904 x 0.025
P(PT∩ I) = 0.0226
P(PT/NI)=0.041
P(PT/NI)=P(PT∩ NI)/P(NI)
0.041=P(PT∩ NI)/0.975
P(PT∩ NI) = 0.041 x 0.975
P(PT∩ NI) = 0.039975
P(PT) = P(PT∩ I)+P(PT∩ NI)
P(PT)= 0.0226 + 0.039975
P(PT) = 0.062575
P(I/PT) = P(PT∩I)/P(PT)
Answer:
The lines ared skew
Step-by-step explanation:
First we check if they are parallel. To do this we compare the ratios of the slopes of each component, and this should be the same:
As we can see the ratios are different so they are not parallel lines.
Now we test for intersesction:
we have to equate each component and solve it as a system:
- 3-2t=-1-u
- 7+4t=18+3u
- -3+8t=7+2u
From equation 1: u=2t-4 we replace this in eq. 2
From equation 2: t=1/2 replacing both in equation 3 should give us an identity
From equation 3: we reach 1=3 as this is not true, out hypothesis that the lines intersect is wrong.
Since this lines are not paralel and don't intersect we must conclude that the are skew
Answer:
g-1(4)=-5
Step-by-step explanation:
because inverse mean that you will switch every x and y on the original graph
for example; point( 4,-2) inverse will be (-2,4)
so to find x=4 on the inverse than just find y=4 on the origin graph