Which statement best explains whether or not a calculator is the most efficient way to simplify (0.68 – 0.38 – 0.2) × 2.3? Multiplying the amount in the parentheses by 2.3 will be a time-consuming process, so using a calculator would most likely be more efficient.
Some of the decimals are to the tenths digit and others are to the hundredths, so using a calculator would most likely be more efficient.
The calculations inside the parentheses are easily done by hand and yield a value easily multiplied by 2.3, so finding the solution by hand would most likely be more efficient.
Multiplying any number by 2.3 can be done quickly by hand, so solving this problem by hand would most likely be more efficient.

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;

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c