In the chart of the triangle it shows that the variable b is the base. It also give us the equation for area 1/2bh (half of base * height)
Now we just plug in the values we are given
1/2bh
1/2(10*13)
1/2(130)
65
The area of the triangle is 65 ft
Here’s the work - answer is 0.833 mi
Answer:
0.50
Step-by-step explanation:
P(A|B)=P(A and B)/P(B) is the formula to find a conditional probability when A and B are not independent.
A and B are independent. This means B has no effect of A. This means P(A|B)=P(A).
P(A|B)=P(A) since A and B are independent
P(A|B)=0.50
18x+9xy (9x⋅2)+(9x⋅y <span>(9x⋅2)+(9x⋅y You multiply 9x times 2 and then 9x times y. Because a(b+c) = ab + ac</span>
QUESTION:
The code for a lock consists of 5 digits (0-9). The last number cannot be 0 or 1. How many different codes are possible.
ANSWER:
Since in this particular scenario, the order of the numbers matter, we can use the Permutation Formula:–
- P(n,r) = n!/(n−r)! where n is the number of numbers in the set and r is the subset.
Since there are 10 digits to choose from, we can assume that n = 10.
Similarly, since there are 5 numbers that need to be chosen out of the ten, we can assume that r = 5.
Now, plug these values into the formula and solve:
= 10!(10−5)!
= 10!5!
= 10⋅9⋅8⋅7⋅6
= 30240.