0.183. This problem addresses Binomial Probability. The formula is nCx × p^x × q^(n - x), where p = 0.72 and q = 1 - p = 0.28. With x representing the number of successes equal to 9 and n being 10, we are calculating the probability that at least nine out of ten people utilized an online travel website for booking. At least 9 out of 10 translates to x ≥ 9, so we calculate P(x ≥ 9) for x = 9 and x = 10. This leads to: P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^(10 - 9)) + 10C10 × (0.72^10 × 0.28^(10 - 10)), resulting in approximately P(x ≥ 9) = 0.183.
Answer:0.5 on the edge for 2020
Step-by-step explanation:
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The y-coordinate of P' is -10.
Step-by-step explanation:
It is given that triangle PQR has vertices at P(–2, 6), Q(–8, 4), and R(1, –2).
The translation rule is
To determine the image of point P, referred to as P', we must substitute the coordinates of P(-2,6) to arrive at;


Thus, the y-coordinate of P' is -10.
Answer:
0.0359
Step-by-step explanation:
Provided values:
Mean durations of three independent processes are 15, 30, and 20 minutes.
The associated standard deviations are 2, 1, and 1.6 minutes, respectively.
Thus,
New Mean = 15 + 30 + 25 = 65
Variance = (standard deviation)²
or
Variance = 2² + 1² + 1.6² = 7.56
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Standard deviation = √variance
or
Standard deviation = 2.75
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Z-value = 
or
Z-value = - 1.81
Consulting the Z-table, the Probability of Z ≤ -1.81 is equal to 0.0359.
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