7a - 3= 2a + 12
Solve for a.

a=3

Step-by-step explanation:

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a = 3

Step-by-step explanation:

7a - 3 = 2a + 12

Add 3 to both sides of the equation:

7a - 3 + 3 = 2a + 12 + 3

7a = 2a + 15

Add 2a to both sides of the equation:

7a - 2a = 2a + 15 - 2a

5a = 15

Divide each side by 5:

5a ÷ 5 = 15 ÷ 5

a = 3

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;

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step-by-step explanation: