Answer:
(5, 4)
Step-by-step explanation:
The equation can be written in vertex form by adding and subtracting 25:
y = -(x^2 -10x +25) -21 +25
y = -(x -5)^2 +4
Then the vertex can be identified as (5, 4).
Answer:
30.5
Step-by-step explanation:
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Answer:
Use compatible numbers that are close to the actual numbers
Choose 36 for 35 3/4 and 6 for 5 7/8 because the divide evenly.
Step-by-step explanation:
Compatible numbers are numbers that are close to the actual values of a particular number. They make estimating easier when yo udo the different operations.
We choose 36 for 35 3/4 because 36 is closer to its value that 34. Conveniently, 5 7/8 is closer to 6 than 5, and they divide evenly. So a best estimate for the number of rows Holly can make would be:
36/6 = 6 rows.
First, determine the z-score of 675.
z = (675 - 500) / 100 = 1.75
The z-score of 500 is,
z = 0.
Subtracting the z-scores will give us 1.75. This is equal to 0.9599.
= 0.9599 - 0.5 = 0.4599
Multiplying this to the given number of light bulbs,
n = 0.4599 x 5000 = 2299.5
Therefore, there is approximately 2300 light bulbs expected to last between 500 to 675 hours.
Answer:
14 chaperones, 49 students
Step-by-step explanation: