Answer:
Jeremiah.
Step-by-step explanation:
Anything divided by 0 is undefined. There is no such number that can be divisible by 0.
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:
$755.80
Step-by-step explanation:
Determine the compound amount first and then subtract the principal from it, to find the amount of interest.
The compound amount formula is A = P (1 + r/n)^(nt), where
P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years. Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).
We get:
A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.
The compound amount is $2934.80. Subtracting the $2179 principal results in the interest earned: $755.80.
F(x) = x² increases at a faster rate than g(x) = 2x.
f(x)
Reason:
x = 0, 1, 2, 3, 4, 5, 6, 7
f(x) = 0, 1, 4, 9, 16, 25, 36, 49
g(x) = 0, 2, 4, 6, 8, 10, 12, 14.
Comparing the values of f(x) and g(x), we can see that that of f(x) are far higher than that of g(x) for the same values of x.
So f(x) increases at a faster rate.
