I believe it would be (b) (-2,1)
The sum of 31/4+42/4= 18.25
<u>Step-by-step explanation</u>:
- The denominators are same.
- Then add the numerators and keep the denominators same.
The sum of (31/4) + (42/4) = (31+42)/4
⇒ 73/4
⇒ 18.25
Answer:
0.160275
Step-by-step explanation:
P(5 time heads) =P(fair penny and 5 time heads + weighted penny and 5 time heads)
probability of fair penny = 99/100 (as one is removed)
probability of heads = 50% = 0.5 flipped 5 times
probability of weighted penny = 1/100
probability of heads for this penny = 90% = 0.9
substituting, we have
=(99/100) * (1/2)*5 + (1/100) * (0.9)5 = 0.036842
hence from Bayes theorem
P(weighted penny | 5 time heads) =P(weighted penny and 5 time heads) / P(5 time heads)
=(1/100)*(0.9)5 /0.036842 =0.160275
Answer:
Smaller=18 degrees; larger= 162 degrees
Step-by-step explanation:
ok so first supplementary angles mean that the two angles added together will equal 180 degrees.
so 1x + 9x = 180 (combine like terms)
10x=180 (divide each side by 10)
x=18
so the smaller angle is 18 because its only 1x, and the larger angle is 162 because 18x9=162
check: 18 + 162 = 180
Answer:
Option B is true
Step-by-step explanation:
We are given that three right triangles .Triangles ABD,CAD and CBA are similar.
When two triangles are similar then, the corresponding sidea are in equal proportion.
We have AB=5 units
AC= 7 units
BC=x
Triangles ABD is similar triangle CBA
When triangle CAD and CBA are similar
Then,
In traingle CBA, uisng pythagoras theorem
Hence, option B is true.