Answer:
2x^2
Step-by-step explanation:
Upper Tolerance
Remark
The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.
Solution
<u>Upper Limit</u>

Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4

Which results in

With a final result for the fractions of 45/64
So the upper tolerance = 3 45/64
<u>Lower Tolerance</u>
Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.

Your answer should be 3 and 43/64
Answer:
0.01863, yes preference
Step-by-step explanation:
given that a class consists of 12 boys and 12 girls. The teacher picks five students to present their work to the rest of the class and says that the five students are being selected at random
Here selecting any 5 students from the group of total 24 students is combination because order does not matter.
Total no of ways of selecting any 5 from total 24 = 
No of ways of selecting only 5 girls = No of ways of selecting random 5 girls from total 12 girls
= 
a) the probability be that all five students
selected are girls=
b) Since the probability for selecting all girls is very small and near to 0, it is unusual to select all girls if done at random. Hence the teacher had a preference for girls.
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system
Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999
The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
Answer:
76%
Step-by-step explanation:
So basically 528 represents a full circle and the amount in the circle is 2:5 to that in the stalls.
So you divide 528 by 2 and then multiply it by 5 to get a full stall of 1320
you then add 1320 and 528 to get a full theater of 1848
to get 2/3 of seats in the stall you divide 1320 by 3 and then multiply it by 2 to get 880.
For 2/3 of the stall and a full circle you add 880 and 528 to get 1408.
You divide the amount of people in the theater on Friday by the total amount of people which the theater can hold so 1408 divided by 1848 and you get the percentage of 76%