Answer parts A and B in the imagine attached
1 answer:
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Answer: There is probability of 0.367 that there will be no breakdown on his car in the trip.
Step-by-step explanation:
Since we have given that
Mean (λ) = 0.5 breakdown per week
Number of weeks the owner of the car is planning to have a trip on his car for = 2 weeks
So, mean for 2 weeks would be
We need to find the probability that there will be no breakdown on his car in the trip.
Probability that there will be no breakdown on his car in the trip is given by
P(X=0) is given by
Hence, there is probability of 0.367 that there will be no breakdown on his car in the trip.
2)
let's say the number is "a".
"two more than the number" ----> a + 2
"five times more than that" -----> 5 * (a + 2) ---> 5(a + 2)
"the sum of that number and 5 times the number more than 2"
a + 5(a + 2)
"is 26 more than four times the number" ----> = 4*a + 26 ---> = 4a + 26
a + 5(a + 2) = 4a + 26
3)
"eight times the number" ---> 8 * a, or 8a
"3 less than that" ----> 8a - 3
"the number increased by 1" ---> a + 1
"16 times that" ---> 16(a + 1)
"half that" ----> [ 16(a + 1) ] / 2
4)
5)
notice each equation, they're both in slope-intercept form, y = mx + b.
now, notice their slope, is the same for both, notice their y-intercept, it varies.
same slope, different y-intercept simply means, the lines are parallel.
let's say the number is "a".
"two more than the number" ----> a + 2
"five times more than that" -----> 5 * (a + 2) ---> 5(a + 2)
"the sum of that number and 5 times the number more than 2"
a + 5(a + 2)
"is 26 more than four times the number" ----> = 4*a + 26 ---> = 4a + 26
a + 5(a + 2) = 4a + 26
3)
"eight times the number" ---> 8 * a, or 8a
"3 less than that" ----> 8a - 3
"the number increased by 1" ---> a + 1
"16 times that" ---> 16(a + 1)
"half that" ----> [ 16(a + 1) ] / 2
4)
5)
notice each equation, they're both in slope-intercept form, y = mx + b.
now, notice their slope, is the same for both, notice their y-intercept, it varies.
same slope, different y-intercept simply means, the lines are parallel.