The area of a rectangle is equal L x W
4 cm longer than it is wide L = 4 + <span>W
</span>
L x W = 117 we replace L here
(4 + <span>W ) x W = 117
</span>
4W + W ^2 = 117
<span>4W + W ^2 -117 = 0
</span>W ^2 +4 W -117 = 0
W² + 4W - 117 = 0
<span>
THEN u want to use the </span>use the quadratic formula
OR Factoring gives us
(W + 13)(W - 9) = 0
W = -13 or 9
But it can't be negative, so
W = 9 and L= 9+4 = 13
Answer:it would be 1385
Step-by-step explanation:because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place
4
and look one place to the right for the rounding digit on the right side of the decimal point
7
.Round up if this number is greater than or equal to
5
and round down if it is less than
5
1385
Answer:
=(k−1)*P(X>k−1) or (k−1)365k(365k−1)(k−1)!
Step-by-step explanation:
First of all, we need to find PMF
Let X = k represent the case in which there is no birthday match within (k-1) people
However, there is a birthday match when kth person arrives
Hence, there is 365^k possibilities in birthday arrangements
Supposing (k-1) dates are placed on specific days in a year
Pick one of k-1 of them & make it the date of the kth person that arrives, then:
The CDF is P(X≤k)=(1−(365k)k)/!365k, so the can obtain the PMF by
P(X=k) =P (X≤k) − P(X≤k−1)=(1−(365k)k!/365^k)−(1−(365k−1)(k−1)!/365^(k−1))=
(k−1)/365^k * (365k−1) * (k−1)!
=(k−1)*(1−P(X≤k−1))
=(k−1)*P(X>k−1)
Answer:
Option C
Step-by-step explanation:
A function g(x) = x² has been given as the parent function.
This function then shifted 5 units down.
Translated function formed will be f(x) = x² - 5
Further this graph has been shifted 4 units to the left then the function will become
f(x) = [x - (-4)]² - 5
f(x) = (x + 4)² - 5
Therefore, option C is the answer.
