Answer:
x=7
Step-by-step explanation:
The sum of the arc of a circle is 360 degrees
85+5x+5+10x+5+-7+6x+6+17x = 360
Combine like terms
38x+94=360
Subtract 94 from each side
38x+94-94 = 360-94
38x = 266
Divide each side by 38
38x/28 = 266/38
x = 7
If they drive in opposite directions it will take 1.66 hours for them to get 225 miles away from each other.
Answers:
- prime number = {2,3,5}
- composite number = {4,6}
- number less than four = {1,2,3}
- number more than or equal to three = {3,4,5,6}
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Explanation:
The list of all possible outcomes on a single standard die is {1,2,3,4,5,6}. The curly braces indicate set notation.
A prime number is a number where its only factors are 1 and itself. The value 1 is not prime, and it's not composite either.
Something like 3 is prime because its only factors are 1 and 3. Something like 4 is composite because 4 = 2*2. A composite value has factors other than 1 and itself.
Parts (iii) and (iv) are fairly straight forward. You simply list items less than four for part (iii) and you list items that are three or greater for part (iv).
Answer:
And we can find this probability with the complement rule:
And we can use excel or the normal standard table and we got:
So then we expect about 81.8% of students that will be promoted
Step-by-step explanation:
Let X the random variable that represent the scores of promotion of a population, and for this case we know the distribution for X is given by:
Where 
and 
We want to find the following probability:
And we can use the z score formula given by:
Using the z score formula we got:
And we can find this probability with the complement rule:
And we can use excel or the normal standard table and we got:
So then we expect about 81.8% of students that will be promoted
