Which chart could represent the function of f(x) = -2x + 6

D.

Step-by-step explanation:

For the function

when x = 0 we get:

⇒ when x = 0,  f(x)=6

So we can rule out options B and C because they have different values for the function f(x) when x = 0, and for A and D we have the correct value of 6.

Now, let's check for the value of x = 2, the function is:

We get that f(x) = 2 when x = 2.This is only true in option D, thus the chart D represents the function

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;

step-by-step explanation: