Let A and B be the two complementary angles.
A = smaller angle = 2x
B = larger angle = 13x
x = some unknown number
Note how the ratio A:B turns into 2x:13x which simplifies to 2:13
A+B = 90 ... because the angles are complementary
2x+13x = 90 ... substitution
15x = 90
x = 90/15
x = 6
A = 2*x = 2*6 = 12 degrees
B = 13*x = 13*6 = 78 degrees
The two angles are 12 degrees and 78 degrees.
Check:
A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13
A+B = 12+78 = 90
Answer:
the probability that two 18 year old boys chosen at random will have heights greater than 185cm is 0.403
Step-by-step explanation:
P( x > 193) = 0.15
= 1- p(x less than or equal 193)
= 1 -p( z < (x- u) /sigma)
= 1- p( z< (193 - 187)/ sigma)
= 1- p( z< 6/ sigma)
P(z< 6/sigma) = 1 - 0.15
P(z < 6/sigma)= 0.85
6/sigma =1.036
Sigma= 6/1.036
Sigma= 5.79
P( x> 185) = 1- p( x< 185)
= 1- p (z < (185- 187)/5.79)
= 1- p( z< -0.345)
= 1- 0.365
= 0.635
P (x> 185) = 0.635 × 0.635
=0.403
Answer:
Well rulers don't like to be proven wrong therefore you have to be patient in convincing a ruler that your idea is best. It's pretty much like what inception is in the movie.
A soft tongue is using calm words which in my opinion means you have the utmost confidence in what you're saying. I dont think it literally means bones will break but the person listening will feel as though they are completely wrong if a calm cool person is proving them wrong.
I can answer 18 for you, but I don't understand 16
18. Since when we lose 3 girls the ratio for the girls side drops by 1, that tells us that 1 digit equals 3 people.
a) 5*3=15 so our answer is 15 girls.
b) 4*3=12 and 5*3=15 so 15+12, our answer would be 27
