How many solutions exist for the given equation?

1/2(x + 12) = 4x - 1

1 solution.

Step-by-step explanation:

1/2(x + 12) = 4x - 1

Expand the brackets.

1/2x + 6 = 4x - 1

Subtract 6 and 4x and both sides.

1/2x - 4x = -1 - 6

-7/2x = -7

Multiply -7/2 on both sides.

x = -7 × -2/7

x = 14/7

x = 2

answer: it is d

step-by-step explanation:

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;