Differences between larva of silkworm and larva of bee
1 answer:
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Response
After her seventh assessment, she will score above 85.
Explanation
We can represent this situation through a linear equation.
On her initial assessment, Rita scored 58, providing the first point (1, 58).
On her second assessment, Rita earned 63, making our second point (2, 63).
To calculate the rate, known as the slope of our line, we utilize the slope formula:
where
signifies the coordinates for the first point
and represents the coordinates for the second point.
From these points, we can establish that ,
,
,
. We will input the values into our slope equation:
Now, we recognize that Rita's score grows by 5 points with every assessment.
To finalize the equation of our line, we apply the point-slope formula:
Ultimately, we substitute with 85 in our equation and solve for
to determine on which assessment she will achieve a score higher than 85:
Since a score of 0.4 assessments is not possible, she will exceed 85 after her seventh assessment.
Response:
Average = 2000
Step-by-step breakdown:
The numbers provided are:
1,000 2,300 2,600
To calculate the average:
Initially, round each number to the nearest 1000, then determine the average.
Solution:
1000 is already rounded, so it stays the same.
To round to the nearest thousand, check the hundred's digit.
- If the hundred’s digit exceeds 5, the thousand’s digit increases by 1, and the hundred’s digit is set to 0.
- If it’s less than 5, the thousand’s digit remains the same, changing the hundred’s digit to 0.
Thus, 2300 rounds to 2000.
and 2600 rounds to 3000.
Consequently, the numbers for averaging are 1000, 2000, 3000.
The formula for average is as follows:
upon applying the formula:
So, the average after rounding to the nearest 1000 is 2000.