Hich expression is equivalent to −30+(−40)+(−70) ? a.30+40+70? b.−30−(40−70) c. −(30−40)+(−70) d.−30+(−70)+(−40)

D.-30+(-70)+(-40)

Step-by-step explanation:

Given expression,

-30+(-40)+(-70)

= -30-40-70

= - 140

In option A,

30+40+70 = 140 ≠ -140,

In option B,

-30-(40-70)  = -30 - (-30) = -30 + 30 = 0 ≠ -140,

In option C,

-(30-40)+(-70)  = -(-10) - 70 =10 - 70 = -60 ≠ -140,

In option D,

-30+(-70)+(-40) = -30-70-40 = -140

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;