That is a distance formula I was gonna type it but I didn’t have the symbols so use the picture attached.
Answer:
18
Step-by-step explanation:
The expected value is the probability times the frequency.
3 = 1/6 × n
n = 18
Note: the use of the word "odds" is very misleading here. Odds are the ratio of number of successes to number of failures:
S / F
Probability is the ratio of number of successes to number of all outcomes:
S / (S + F)
So the probability of rolling a 5 is 1/6. The odds of rolling a 5 is 1/5.
Furthermore, the word "must" is also incorrect. The player didn't <em>have</em> to roll 18 times. They could have rolled three times and gotten a 5 each time. Or they could have rolled 100 times. 18 is simply the most <em>likely </em>number of rolls needed to get three 5's.
We know that
area of a rectangle=length*width
length=area/width
area=2.76 x 10^12 units²<span>
width=4.6 x 10</span><span>^5 units
</span>length=2.76 x 10^12/4.6 x 10^5 ------> 6 x 10^6 units
perimeter of a rectangle=2*[length+width]
width=4.6 x 10^5 units----> is equal to 0.46 x 10^6 units
length=6 x 10^6 units
perimeter of a rectangle=2*[6x10^6+0.46x10^6]----> 12.92 x 10^6 units
the answer is
12.92 x 10^6 units
Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is 
. In particular, the value we are looking for is 
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to 
.
