Answer:
46 and 277
Step-by-step explanation:
Given
f(x) =
- 8x - 11 ← substitute x = 3, x = - 4 into f(x)
f(3) =
- 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46
f(- 4) =
- 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277
Remember:
a^m * a^n=a^(m+n)
a^-m=1/a^m
8³ x 8⁻⁵=8³⁻⁵=8⁻²=1/8²=1/64<1
Answer: the student is not correct, because 1/64<1, and 8³ x 8⁻⁵=1/64.
Answer:
(x, y) = (3, -4)
Step-by-step explanation:
See the attached for a graph.
Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation =
= 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:

For z = -1.56, we get:

For z = -0.88, we get:

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
Answer:no the -2/3 should be before -1/5
Step-by-step explanation: