Each of the triangles are equal in base length, height, and area. Remember the formula for the area of a triangle. The area of any triangle is 1/2 times the length of the base (which, in the polygon, is the length of a side) multiplied by the height (which is the same as the apothem in regular polygon)
Answer:
Probability at least one car will get punctured: 0.39347
Step-by-step explanation:
B(10,000 , 0.00005)
P(X ≥ 1) = 1 - P(X = 0)
= 1 - (1 - 0.00005)^10,000
= 1 - (0.99995)^10,000
= 1 - 0.60652...
= 0.39347 (probability that at least one car will get punctured)
As you can tell P(X ≥ 1) as we have to solve for the probability that at least one car will get punctured. That is of course 1 - [ P(X = 0) ].
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}
====================================================
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).
Hi, I would be glad to help you here.
<span>7x − 2 < 3 + 2x
Move terms
7x - 2x - 2 < 3
Collect the like terms
(7x - 2x) = 5x (<3 + 2 stays the same)
Calculate
5x (<3 + 2 = 5)
5x <5
Divide both sides of the inequality by (5) giving you,
x < 1
So, finally in a total the correct answer here is (x < 1)
</span>
Answer:
Step-by-step explanation:
The equation
2 = (1/6)x represents this situation.
2 is 1/6 of some value. In this case, the value is the total number of marbles. 2 represents 1/6 of the total number of marbles is how to read that equation in context. Solve that equation for x
2 = (1/6)x
12 = x (multiply both sides by 6 to get rid of the fraction)
