Answer:
Speed of Carol is 78 mph and that of Steve is 84 mph.
Step-by-step explanation:
Let the speed of Carol is x mph and that of Steve is (x + 6) mph.
If they move towards each other with that speed, then the resultant speed will be (x + x + 6) = (2x + 6) mph
With this resultant speed, they cover 405 miles in 2.5 hours.
So, 
⇒ 2x = 156
⇒ x = 78 mph
So, speed of Carol is 78 mph and that of Steve is (78 + 6) = 84 mph. (Answer)
Answer:
0.047
Step-by-step explanation:
Given that poisson distribution with mean m, for 0.5 square meter =1.5
Then the formula for finding the probability =
P[k] = (e^-m * m^k) k!
Hence we have
P[4] =[ (e^-1.5) * (1.5^4)] ÷ 4 * 3 * 2 * 1
= (0.2231301601 * 5.0625) ÷ 24
=( 1.12944375) ÷24
= 0.04706
≈ 0.047
Hence, the final answer is 0.047
Answer:
17) A
18) B
Step-by-step explanation:
Answer:
82 inches
Step-by-step explanation:
The difference between consecutive even integers is 2, thus
let the legs be n and n + 2
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
n² + (n + 2)² = 58² ← expand and simplify left side
n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )
2n² + 4n - 3360 = 0 ( divide all terms by 2 )
n² + 2n - 1680 = 0 ← in standard form
(n + 42)(n - 40) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 42 = 0 ⇒ n = - 42
n - 40 = 0 ⇒ n = 40
But n > 0 ⇒ n = 40
and n + 2 = 40 + 2 = 42
Thus sum of legs = 40 + 42 = 82 inches
