Answer:
a. 37 people respond "Yes"
b. 29 people respond "Yes"
c. 28 people respond "No"
Step-by-step explanation:
There was a sample of 46 oil industry executives who are selected for a questionnaire. There are total 46 executives so total number of answer will be either 46 or lesser. The questionnaire responses cannot be greater than 46. The possible responses can be 37 or 29 people responses "Yes" or 28 executive responses "No"
Answer:
-1
Step-by-step explanation:
i is √-1
i^2 is -1
i^3 is -i
i^4 is 1
This cycle repeats itself every 4 powers
so i^6 is -1
Answer:
The probability that the sum of the numbers rolled is either a multiple of 3 or an even number is 24/36 = 2/3
The two events are mutually exclusive
Step-by-step explanation:
we first need to create a table of the sample space from the experiment, the sum of the numbers rolled. Find the attached for a depiction of the possible outcomes.
The probability that the sum of the numbers rolled is either a multiple of 3 or an even number will be given by counting the numbers that are either even or multiples of 3 and then dividing by the number of possible outcomes, 36.
In our case this will be;
24/36 = 2/3
HCF of 12 and 15 by Prime Factorization
1. As visible, 12 and 15 have only one common prime factor i.e. 3. Hence, the HCF of 12 and 15 is 3.
2. To find the HCF of 20 and 25, we will find the prime factorization of the given numbers, i.e. 20 = 2 × 2 × 5; 25 = 5 × 5. ⇒ Since 5 is the only common prime factor of 20 and 25. Hence, HCF (20, 25) = 5.