Answer:
Step-by-step explanation:
Unclear. Did you mean f(x) = 2^(x + 3)? If so, the parentheses are mandatory.
Assuming that f(x) = 2^(x + 3) is correct, then:
a) f(2) = 2^(2 + 3) = 2^5 = 32
b) f'(x) = 2^(x + 3)*(x + 3)' = 2^(x + 3)(1) = 2^(x + 3)
c) f"(x) = 2^(x + 3) (same as in (b)), so that:
f"(12) = 2^15
Answer:
<u>If we remove 61 from the data set, the median changes from 87.5 to 93.</u>
Step-by-step explanation:
1. Let's calculate the median of the original data set:
Median = (3rd term + 4th term)/2 because the number of terms are even and our median mark is the average of the two middle marks, in this case, 82 and 93.
Median = (82 + 93)/2
Median = 87.5
2. Let's calculate the median of the data set removing 61:
Median = 3rd term because our median mark is the middle mark, in this case, 93. It is the middle mark because there are 2 scores before it (80 and 82) and 2 scores (94 and 98) after it.
Median = 93
Answer:
?
Step-by-step explanation: how do expect us to know this
Answer:
5%
Step-by-step explanation:
1 person will be selected out of a total of 20 (you + 19)
The probability is 1/20 = 0.05 = 5%
b = 78°
The angles at a point sum to 360°
that is 45 + 237 + b = 360
282 + b = 360 ( subtract 282 from both sides )
b = 360 - 282 = 78°