We will use the Binomial probability formula to find the answer
The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ-ˣ
We have
n, the number of trial = 16
x, the sample we aim to try = 7
p, the probability of success = 0.5
Substitute these values into the formula
P(7) = ¹⁶C₇ (0.5)⁷ (1-0.5)¹⁶⁻⁷
P(7) = 0.1746 (rounded to four decimal places)
Answer:
Step-by-step explanation:
The probability that Boris is assigned a moderate-difficulty question would be the ratio of number of moderately difficult questions to the number of total questions available.
The quiz consists of 2 high difficulty, 7 moderate difficulty, and 6 low difficulty questions. That is 2 + 7 + 6 = 15 questions in total.
and
the number of moderately difficult questions is 7
Hence the probability would be 7/15
Answer:
No
Step-by-step explanation:
Let's find the slope of both lines and then compare these slopes:
From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y. Thus, the slope is m = rise / run = 1/(-1) = -1.
From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y. The slope here is m = rise / run = -1/5.
For these lines to be parallel, their slopes must be the same. That is not the case here, so NO, the lines are not parallel.
1300 = 1000 (1.08)^t
1.3 = (1.08)^t
log base 1.08 (1.3) = t
3.41 = t
Answer:
766
Step-by-step explanation:
no step by step explanation
