Answer:
900 people
Step-by-step explanation:
.36x=324
×=324÷.36
x=900
Answer:
Step-by-step explanation:
Given that there are 3 boxes. First box contains 100 components of which 20 % are defective, second box contains 200 components of which 25 % are defective, third box contains 300 components of which 40 % are defective.
Box is selected randomly and from this box one component is selected randomly. The chosen component turned out to be defective.
Here A1, A2 and A3 events from drawing I, II and III box are mutually exclusive and exhaustive
B = The drawn ball is defective
Required probability
a) second box = P(A2/B)
=
(by Bayes theorem of conditional probability)
= 
b) third box = P(A3/B)
=
The sum of all angles in a triangle or on a straight line is 180 so subtract the values from 180
Answer:
3 1/6
Step-by-step explanation:
To find the highest value, we have to evaluate each term individually,
1) 1 1/6 = 7/6 = 1.167
2) 3 1/6 = 19/6 = 3.16
3) 3/8 = 0.375
4) 5/8 = 0.625
Therefore, second data value (3 1/6) is highest.
The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.