Decide a number by 5 and add 4 to the result
1 answer:
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On 12th day Rosita will walk all three dogs
<em><u>Solution:</u></em>
Given that Rosita earns money by walking dogs after school and on weekends
She walks Madeline every other day,buddy every fourth day,and ernie every third day
Today she walked all three dogs
<em><u>To find: the day when she walked all three dogs</u></em>
From given question,
Madeline is walked every other day means every two days: 2
Buddy is walked every fourth day: 4
Ernie is walked every third day: 3
To find the day when she walked all three dogs, we have to find the least common multiple (LCM) of 2, 4, 3
<em><u>L.C.M of 2, 4, 3:</u></em>
List all prime factors for each number
Prime Factorization of 2 shows:
2 is prime =>
Prime Factorization of 3 shows:
3 is prime =>
Prime Factorization of 4 is:
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 3
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 = 12
Thus on 12th day Rosita will walk all three dogs
Answer:
The probability that a call last between 4.2 and 4.9 minutes is 0.4599
Step-by-step explanation:
Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula
We will use , the cummulative distribution function of W. The values of
are well known and the can be found in the attached file
We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599