Answer:
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Step-by-step explanation:
The formula for the probability of an exponential distribution is:
P(x < b) = 1 - e^(b/3)
Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:
p = P(x > 10)
= 1 - P(x < 10)
= 1 - (1 - e^(-10/10) )
= e⁻¹
= 0.3679
The z-score is the difference in sample size and the population mean, divided by the standard deviation:
z = (p' - p) / √[p(1 - p) / n]
= (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]
= 2.7393
Therefore, using the probability table, you find that the corresponding probability is:
P(p' ≥ 0.5) = P(z > 2.7393)
<em>P(p' ≥ 0.5) = 0.0031</em>
<em></em>
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
a₁ = 4
n = 10
d = 3
a = a₁ + (n - 1)d
a₁₀ = 4 + (10 - 1)3
a₁₀ = 4 + (9)3
a₁₀ = 4 + 27
a₁₀ = 31
The 10th term would be 31 and the d variable will be replaced with the number 3.
Answer:
10.5 I think
Step-by-step explanation:
(1/2) *12 is 6
(1/2)*21 is 10.5
Answer:
Hello! answer: area is 6 cm2
Step-by-step explanation:
Triangle area formula: base × height ÷ 2 or base × height × 1/2 so...
12 × 16 = 192 192 ÷ 2 = 96
12 ÷ 4 = 3
16 ÷ 4 = 4
3 × 4 = 12 12 ÷ 2 = 6 therefore the area is 6 hope that helps!
Answer:
5
Step-by-step explanation:
sum the parts of the ratio, 3 + 4 = 7 parts
Divide the number of students by 7 to find the value of one part of the ratio
35 ÷ 7 = 5 ← value of 1 part of the ratio, then
3 parts 3 × 5 = 15 ← number of boys
4 parts = 4 × 5 = 20 ← number of girls
20 - 15 = 5
There are 5 more girls than boys
