Answer: 2 and 7/12
Step-by-step explanation: To subtract 4 - 1 and 5/12, first subtract the fractions. Since 4 has no fraction, imagine the fraction 0/12.
Notice however that we can't subtract 0/12 - 5/12.
So, let's rewrite 4 and 0/12 as 3 + 1 and 0/12 or 3 + 12/12 by changing 1 and 0/12 into an improper fraction.
Now we have 3 and 12/12 - 1 and 5/12.
Now we can subtract our fractions 12/12 - 5/12 and we get 7/12. Next we subtract our whole numbers 4 - 1 to get 3.
So 5 - 1 and 5/12 is 2 and 7/12.
Answer:
2.88
Step-by-step explanation:
Data provided in the question
= Population standard deviation = 7 miles per hour
Random sample = n = 32 vehicles
Sample mean = 
= 64 miles per hour
98% confidence level
Now based on the above information, the alpha is
= 1 - confidence level
= 1 - 0.98
= 0.02
For 
= 0.01
= 2.326
Now the margin of error is
= 2.88
hence, the margin of error is 2.88
The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.
<h3>
What is the discriminant of the expression?</h3>
According to the task content; it is required to identify if the expression is prime.
On this note, it follows that the discriminant of the expression can be evaluated as follows;
= 36 -(4× 5 × -2)
= 76.
Hence, the expression is prime since 76 is not a perfect square.
Read more on discriminant;
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Answer:
The transformation is a rotation.
Step-by-step explanation:
Each point of triangle DEF is rotated to form 
.
Use proportions.
214/236=x/100(100 because it's a percentage.
cross multiply:
23600=214x
solve for x:
x= 11.3(rounded)
11.3% increase
