Answer:
56 students
Step-by-step explanation:
The equation for your question is 85+2x=197. First you would have to subtract 85, on both sides, leaving you with 2x=112. Then, you'd have to divide by 2 on both sides to isolate the variable. From there, you're left with x=56.
Answer:
84
Step-by-step explanation: (edited)
52% problems are pointless i.e. 48% are NOT pointless.
Recall that 1% = 1/100.
Therefore 48% = 48/100 = 12/25.
Let x be the number of problems that are not pointless.
x/175 = 12/25
x = 84
First, find the z-score:
z = (value - mean) / sdev
= (275 - 280) / 15
= - 0.33
In order to use a standard normal table, we need a positive z-score:
P(z < -0.33) = 1 - P(z < 0.33)
Looking at the table, we find P(z < 0.33) = 0.6293
Therefore:
P(z < -0.33) = 1 - 0.6293 = 0.3707
Hence, you have a probability of about 37% <span>that a randomly selected pregnancy lasts less than 275 days.</span>
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 
