3z^2 + 4z + 2
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The new ratio of the number of cookies in Jar A to the number of cookies in Jar B in the end is 5 : 19
<h3>How to find ratio</h3>
Ratio of jar A to jar B = 3 : 8
Jar B = 1/2 of A + B
= 1/2 × 3 + 8
= 3/2 + 8
= (3+16) /2
= 19/2
Jar A = 3 - 1/2
= (6-1) /2
= 5/2
New ratio of jar A to jar B = 5/2 : 19/2
= 5/2 ÷ 19/2
= 5/2 × 2/19
= 5/19
= 5 : 19
Learn more about ratio:
brainly.com/question/2784798
Answer:
The score of 271.2 on a test for which xbar = 240 and s = 24 has a higher relative position than a score of 63.6 on a test for which xbar = 60 and s = 6.
Step-by-step explanation:
Standardized score, z = (x - xbar)/s
xbar = mean, s = standard deviation.
For the first test, x = 271.2, xbar = 240, s = 24
z = (271.2 - 240)/24 = 1.3
For the second test, x = 63.6, xbar = 60, s = 6
z = (63.6 - 60)/6 = 0.6
The standardized score for the first test is more than double of the second test, hence, the score from the first test has the higher relative position.
Hope this Helps!!!
Answer:
Step-by-step explanation:
The required answer is the rate at which Machine A works when the two machines are combined.
Note: the rate of doing work is express as
Hence we can conclude that Machine A working rate is
and machine B working rate is
When the two machine works together, the effective working rate is
The fraction of the work that Machine B will not have complete because of Machine A help is the total work done by machine A
Hence the fraction of work done by A is expressed as
Hence the fraction of the work that Machine B will not have complete because of Machine A help is the total work done by machine A is 
Answer:
Step-by-step explanation:
Slope/Gradient = 
P = (-8 , 3) (x1, y1)
Q = (-6 , 2) (x2, y2)
Slope = 
=
= 
=
