Mean=0.48
standard deviation=0.01
thus using the z-score:
P(x>0.5) we shall have the following:
z=(0.5-0.48)/0.01=2
thus
P(x>0.5)
=1-P(x<0.5)
=1-P(z<2)
=1-0.9772
=0.0228
Answer:
Step-by-step explanation:
we have
<em>The equation of the first line</em>
------> equation A
<em>The equation of the second line</em>
------> equation B
Solve the system of equations by elimination
Multiply equation A by -4 both sides
--------> equation C
Adds equation B and equation C
<em>Find the value of x</em>
substitute the value of y
Multiply by 3 both sides
therefore
The solution to the system of equations is the point
Answer:
10:1
90 red counters
30 blue
1/3 of 90 =30
80% of 30 =24
90-30 =60 remaining red counters
30-24 =6 remaining blue counters
= 60:6 simplest form is 10:1
Answer: x = -7
Step-by-step explanation:
2(6 + 3x) + 1 = - 5 + 3(x - 1)
(2) (6) + (2) (3x) + 1 = -5 + (3) (x) + (3) (-1)
12 + 6x + 1 = - 5 + 3x + - 1
( 6x ) + ( 12 - 1 ) = ( 3x ) + ( -5 + -3 )
6x + 13 = 3x - 8
6x + 13 - 3x = 3x - 8 - 3x
3x + 13 = -8
3x + 13 - 13 = -8 - 13
3x = -21
3x/3 -21/3
X = -7
Answer:
150
Step-by-step explanation:
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