If the boy grows another 5 inches, he will be 1/2 as tall as his sister. HIs sister is 68 inch tall
Let sister = g, and boy = b
2b + 5 = g
g = 68
Plug in 68 for g
2b + 5 = 68
Isolate the b. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
first, subtract 5 from both sdies
2b + 5 (-5) = 68 (-5)
2b = 68 - 5
2b = 63
Isolate the b. Divide 2 from both sides
2b/2 = 63/2
b = 63/2
b = 31.5
The boy is 31.5 inches tall
hope this helps
Answer:
A) P(A|B) = 0.01966
B) P(A'|B') = 0.99944
Step-by-step explanation:
A) We are told that A is the event "the person is infected" and B is the event "the person tests positive".
Thus, using bayes theorem, the probability that the person is infected is; P(A|B)
From bayes theorem,
P(A|B) = [P(A) × P(B|A)]/[(P(A) x P(B|A)) + (P(A') x P(B|A'))]
Now, from the question,
P(A) = 1/400
P(A') = 399/400
P(B|A) = 0.8
P(B|A') = 0.1
Thus;
P(A|B) = [(1/400) × 0.8)]/[((1/400) x 0.8) + ((399/400) x (0.1))]
P(A|B) = 0.01966
B) we want to find the probability that when a person tests negative, the person is not infected. This is;
P(A'|B') = P(Not infected|negative) = P(not infected and negative) / P(negative) = [(399/400) × 0.9)]/[((399/400) x 0.9) + ((1/400) x (0.2))] = 0.99944
Each straight line is 180 degrees, keep that in mind! subtract 150 from one side (subtract it from 180) and the other side must at most be the remaining degrees out of the 180 total.
Answer:
B
Step-by-step explanation:
to build a triangle the sum of lengths of any and every pair of lines must be longer than the third line.
like in A we have
6+18>23 true
6+23>18 true
18+23>6 true
so, it is a triangle.
but in B we have
8+10<20
and therefore it cannot be a triangle (the endpoints cannot connect).
Replace t with -2 and solve for a number. It should work since it's not a fraction.