Which polynomial function has a leading coefficient of 1 and roots (7+i) and (5-i) with multiplicity 1? A. f(x) = (x + 7)(x – i)(x + 5)(x + I)
B. f(x) = (x – 7)(x – i)(x – 5)(x + I)
C. f(x) = (x – (7 – i))(x – (5 + i))(x – (7 + i))(x – (5 – i))
D. f(x) = (x + (7 – i))(x + (5 + i))(x + (7 + i))(x + (5 – i))

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

step-by-step explanation:

what was your answer?