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loris [4]
3 years ago
13

Can you guys help out please asap

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0
So think of a triangle (draw this out of you need to). So sine = opposite over hypotenuse
And cosine = adjacent over hypotenuse
So the sin of angle Q is 4/5 meaning the hypotenuse is 5 and the opposite side to that angle is 4. Use the Pythagorean theorem to solve for the adjacent side
a^2+b^2=c^2
a^2+16=25
a^2=9
So a= 3
So the side lengths are 4 and 3 and the hypotenuse is 5. Now solve for the cosine of angles P and Q and add those fractions together. If you need further help let me know and I can work it out with you!
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The prior probabilities for events A1 and A2 are P(A1) = 0.35 and P(A2) = 0.50. It is also known that P(A1 ∩ A2) = 0. Suppose P(
forsale [732]

Answer:

Step-by-step explanation:

Hello!

Given the probabilities:

P(A₁)= 0.35

P(A₂)= 0.50

P(A₁∩A₂)= 0

P(BIA₁)= 0.20

P(BIA₂)= 0.05

a)

Two events are mutually exclusive when the occurrence of one of them prevents the occurrence of the other in one repetition of the trial, this means that both events cannot occur at the same time and therefore they'll intersection is void (and its probability zero)

Considering that P(A₁∩A₂)= 0, we can assume that both events are mutually exclusive.

b)

Considering that P(BIA)= \frac{P(AnB)}{P(A)} you can clear the intersection from the formula P(AnB)= P(B/A)*P(A) and apply it for the given events:

P(A_1nB)= P(B/A_1) * P(A_1)= 0.20*0.35= 0.07

P(A_2nB)= P(B/A_2)*P(A_2)= 0.05*0.50= 0.025

c)

The probability of "B" is marginal, to calculate it you have to add all intersections where it occurs:

P(B)= (A₁∩B) + P(A₂∩B)=  0.07 + 0.025= 0.095

d)

The Bayes' theorem states that:

P(Ai/B)= \frac{P(B/Ai)*P(A)}{P(B)}

Then:

P(A_1/B)= \frac{P(B/A_1)*P(A_1)}{P(B)}= \frac{0.20*0.35}{0.095}= 0.737 = 0.74

P(A_2/B)= \frac{P(B/A_2)*P(A_2)}{P(B)} = \frac{0.05*0.50}{0.095} = 0.26

I hope it helps!

5 0
3 years ago
Which angle has a measure closet to 30 degrees?
gladu [14]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Subtract the mixed fractions 7 1/4 - 2 4/5=
vaieri [72.5K]

Answer:

4.45

Step-by-step explanation:

I took a test and this question appeared,i remembered the answer , Sorry if i got it wrong..

4 0
3 years ago
Read 2 more answers
Isaac and Albert spot a hot air balloon flying at a low altitude. They decide to calculate its height by standing 400 feet apart
yarga [219]

Answer:

144 feet to nearest foot.

Step-by-step explanation:

Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet

So we have 2 right angled triangles and:

tan 62 = h/x

tan 48 = h / (400- x)         where h is the height of the balloon.

From the first equation x = h / tan 62 so plugging this into the second one:

tan 48 =  h /  ( 400 - h/tan 62)

h = 400 tan 48 - h tan 48 tan 62

h + h tan 48 tan 62 = 400 tan 48

h ( 1 + tan48 tan62) = 400 tan48

h = 400 tan 48 / (1 +  tan 48 tan 62)

= 143.8 feet.

4 0
3 years ago
A deposited 7500 Dollars in a bank and received interest of 900 Dollars after one year. B received interest of 1440 Dollars afte
White raven [17]

Answer:

If the rate of interest is 12% than the answer is 12000

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

7 0
2 years ago
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