Answer:
0.98732
Step-by-step explanation:
Given that :
Mean = 10 minutes
Variance = 2 minutes
For less than equal 40 jobs
Mean (m) = 40 * 10 = 400 minutes
Variance = 2 * 40 = 80 minutes
Standard deviation (s) = √variance = √80
Converting hours to minutes
X = 60 * 7 = 420 minutes
P(X≤ 420) :
Z = (x - m) / s
P(X≤ 420) :
Z = (420 - 400) / √80
Z = 20 / √80 = 20 / 8.9442 = 2.236
P(Z ≤ 2.236) = 0.98732
Answer:
X1=-4+4i
X2=-4-4i
Step-by-step explanation:
X^2+8x+32=0
Δ=b^2-4ac=8^2-4(32)=-64<0
X1=(-b-i√Δ) /2a=(-8-8i)/2=-4-4i
X2=(-b+i√Δ) /2a=(-8+8i)/2=-4+4i
To find the first blank, just replace x in the equation with 12 and solve.
a(12) = 50 - 1.25(12) = your answer for blank 1
For blank 2: because x represents the number of apps on her phone, and x is given 12 for this problem, she bought 12 apps.
For blank 3: You would mention how many apps she got twice, so not the first option or the third option. It should be the answer from the first blank because the equation represents how much money is in her account.
A) x= 5
b) x= 1
basically, 5x5x5=125 so that mean 5 to the power of 3 equals 125. This says x-2, so 5-2=3 which completes the equation of 5 to the power of 3. same with the second one.