Let x be a random variable representing the price of a Congo-imported black diamond. Let the higher price be p. Then,
P(x < p) = P(x < (p - mean)/sd) = P(x < (p - 60,430)/21,958.08) = P(z < 2)
Therefore,
(p - 60,430)/21,958.08 = 2
p - 60,430 = 2 x 21,958.08 = 43,916.16
p = 34,916.16 + 60,430 = 104.346.16
Therefore, The required price is $104,346.16
Since the perimeter is the sum of the length of all sides we multiply width and length by 2 and then add them together
Hello :
x²+x - 2 =0
a=1 b=1 c = -2
<span>The sum of the roots is : S = -b/a
</span>S = - 1/1 = -1
Step-by-step explanation:
Given that,
The function that shows the height of a baseball after t seconds is given by :
....(1)
Part (A).
When the baseball hits the ground,
H(t) = 0
So,
![-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s](https://tex.z-dn.net/?f=-16t%5E2%2B75t%2B25%3D0%5C%5C%5C%5Ct%3D5%5C%20s%5C%20and%5C%20t%3D-0.31%5C%20s)
After 5 seconds the baseball will hit the ground.
Pat (B)
For maximum height, put dH/dt = 0
So,
![\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdt%7D%28-16t%5E2%2B75t%2B25%29%3D0%5C%5C%5C%5C-32t%2B75%3D0%5C%5C%5C%5Ct%3D2.34%5C%20s)
Put t = 2.34 s in equation (1).
![H(t)=-16(2.34)^2+75(2.34)+25\\\\H(t)=112.89\ m](https://tex.z-dn.net/?f=H%28t%29%3D-16%282.34%29%5E2%2B75%282.34%29%2B25%5C%5C%5C%5CH%28t%29%3D112.89%5C%20m)
Hence, this is the required solution.