Answer:
See below in bold,.
Step-by-step explanation:
There are 30-17 = 13 boys in the class.
a. Prob(First is a boy ) = 13/30 and Prob( second is a boy = 12/29).
As these 2 events are independent:
Prob( 2 boys being picked) = 13/30 * 12/29 = 26/145 or 0.179 to the nearest thousandth.
b. By a similar method to a:
Prob ( 2 girls being picked) = 17/30 * 16/29 = 136/435 = 0.313 to the nearest thousandth.
c. Prob (First student is a boy and second is a girl) = 13/30 * 17/29 = 221/870.
Prob ( first student is a girl and second is a boy) = 17/30 * 13/29 = 221/870
These 2 events are not independent so they are added:
Prob( one of the students is a boy) = 2 (221/870 = 221/435 = 0.508 to the nearest thousandth.
{ 2 x + 4 y = 12
y = 0.25 x -3
Arrange equation variables of elimination :
{ 2 x + 4 y = 12
-0.25 x + y = - 3
Multiply ( -0.25 x +y = - 3 ) by 8 :
8y - 2 x = - 24
{ 2 x + 4y = 12
-2x + 8y = -24
----------------------
12 y = -12
y = - 12 / 12
y = - 1
For x :
2 x + 4y = 12
2 x + 4 ( - 1 ) = 12
2 x - 4 = 12
2 x = 12 + 4
2 x = 16
x = 16 / 2
x = 8
x = 8 and y = - 1 => ( 8 , - 1 )
Answer b
hope this helps!
Answer:
13.333% of 3 is 4.
Step-by-step explanation:
Take missing value = x
x% of 3 = 4
x/100 × 3 = 4
3x/100 = 4
3x = 400
x = 400/3
x = 13.333
Hope it helps ⚜
Answer:
Step-by-step explanation:
-3i √(-40) = -3i √40i² ...(i² = - 1)
= -3i √40 i
-3i √(-40) = 3√40
Answer:
Varies directly uses the formula: y/x = k
22/3 = 7.33
105/x = 7.33
105/x (7.33/x) = 7.33(x/7.33)
105/7.33 = x
x = 14.32
