The difference of the square of a number and three times the sum of the number and 7 is more than the product of that number and 15.

select the inequality that can be used to determine the unknown number.

a.
x2 - 3x - 21 > 15x
b.
x2 - 3x + 21 > 15 + x
c.
x2 - 3x + 7 ≥ 15x
d.
x2 + 3x ≥ 15 + x

A

Step-by-step explanation:

The question stated that the difference of the square of a number and three times the sum of the number and 7 (x^2-3 (x+7))is more than the product of that number and 15 (15x)

So x^2- 3(x+7)>15(x)= x^2 -3x +21>15x

table 1

step-by-step explanation:

1-16

2-32

4-64

8-128

all multiples of 16

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;