Answer:
Pr(X>1540.2) = 0.0655
Step-by-step explanation:
Expected value of large bottle,
E(Large) = 1016
Expected value of small bottle,
E(small) = 510
Expected value of total
E(total) = 1016 + 510 = 1526
So the new mean is 1526
Find standard deviation of new amount by variance
Variance of large bottle,
v(large) = 8^2 = 64
Variance of small bottle,
v(small) = 5^2 = 25
Variance of total
v(total) = 64+25 = 89
So the new standard deviation
sd(new) = sqrt(89) = 9.434
Find probability using the new mean and s.d.
Pr(X>1540.2)
Z score, z = (x-mean)/sd
= (1540.2 - 1526)/9.434
= 1.505
value in z score
P(z<1.51) = 0.9345
For probability of x > 1540.2
P(z > 1.51) = 1 - 0.9345 = 0.0655
Answer:
25
Step-by-step explanation:
'. a=3
b=8
c =2
d=5
so
3^2+3(8)+2-2(5).
9+24+2-10
=25
We solve this inequality by solving or isolating for x. so we have x >_ 8 so any value in the set (8,infinity) will satisfy the inequality. Therefore the answers B,C,E,F all satisfy or belong to the solution set of the above inequality.
Hope this helps.
Answer:
a=-15
Step-by-step explanation:
(1/3)a=-5
a=-5/(1/3)
a=(-5/1)(3/1)
a=-15/1
a=-15