Answer:
Step-by-step explanation:

Answer:
The mean of the combined group is 76.67 ≈ 77
Step-by-step explanation:
- The sum of the grades in Tom's group is 20×70 = 1400
- The sum of grades in Alice's group is 10×90=900
- The sum of gradees in the combined group is =1400+900=2300
- Then the mean grade of the combined group is

where
- 2300 is the sum of the all grades in the combined group
- 30 is the total number of people in the group
Answer:
2.4×10^6
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic. You can enter the numbers in scientific notation into your (scientific) calculator and have it show you the result in the same format.
r = (3.8×10^5)^2/(5.9×10^4) . . . . . denominator parentheses are required
Please note that in the above expression, parentheses are required around the denominator number. This is because it is a product of two numbers. In your pocket calculator or spreadsheet, you can enter that value as a single number (not a product). Parentheses are not required when you can do that.
r = (3.8²/5.9)×10^(5·2-4) ≈ 2.4×10^6
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The "exact" value is a repeating decimal with a long repeat. We have rounded to 2 significant digits here because the input numbers have that number of significant digits.
Let

be the amount of parts the student answered correctly. Suppose that

is a function between

and the score of a student's project. As the student initially receives a fixed

points for turning the project in and

points for each correct part, the function is initially:

When the students receive

points for each correct part, the coefficient of

changes, as the amount of points received per correct answer increases. Thus:

.
Answer:
The number is 42.
Step-by-step explanation:
Let x be the unknown number.
"two less than a number" is x - 2
Quotient means the result of a division.
(x - 2)/5 = 8
Multiply both sides by 5.
x - 2 = 40
Add 2 to both sides.
x = 42
Answer: The number is 42.
Check.
Start with 42. 2 less than 42 is 40. The quotient of 40 and 5 is 40/5 which is 8. The answer is correct.