Answer:
(x ÷ 8) + 23 – 4 = 36
x = 136
Step-by-step explanation:
Answer:
∠M = 78º
∠N = 68º
∠P = 34º
Step-by-step explanation:
we know that the inside of a triangle is equal to 180º. we also know that angle p and angle q equal 180º when added together because that's the angle of a straight line. first we need to find angle p.
180 - 146 = 34º
now we can set it up so that all the angles equal 180º when added together.
(5y + 3) + (4y + 8) + 34 = 180
5y + 4y = 9y
9y + 3 + 8 + 34 = 180
3 + 8 + 34 = 45
9y + 45 = 180
-45 -45
-------------------
9y = 135
÷9 ÷9
y = 15
now we can plug 15 in for y
(5 x 15 + 3) = 78º
(4 x 15 + 8) = 68º
to double check, add all three angles and make sure they equal 180º
78 + 68 + 34 = 180
Answer:
30 hours
Step-by-step explanation:
If there only one person then the total would be $40.25
Answer:
Required Probability = 0.605
Step-by-step explanation:
Let Probability of people actually having predisposition, P(PD) = 0.03
Probability of people not having predisposition, P(PD') = 1 - 0.03 = 0.97
Let PR = event that result are positive
Probability that the test is positive when a person actually has the predisposition, P(PR/PD) = 0.99
Probability that the test is positive when a person actually does not have the predisposition, P(PR/PD') = 1 - 0.98 = 0.02
So, probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/PR)
Using Bayes' Theorem to calculate above probability;
P(PD/PR) =
=
=
= 0.605 .