Pleaseee help asappp

9514 1404 393

  -14 ≤ x ≤ 20

Step-by-step explanation:

Left inequality:

  2(3 -x) +5 ≤ 39

  2(3 -x) ≤ 34 . . . . . subtract 5

  3 -x ≤ 17 . . . . . . . divide by 2

  3 -17 ≤ x . . . . . . . . add x-17

  -14 ≤ x

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Right inequality:

  2(x -3) +5 ≤ 39

  2(x -3) ≤ 34 . . . . . . subtract 5

  x -3 ≤ 17 . . . . . . . . .divide by 2

  x ≤ 20 . . . . . . . . . . add 3

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The solution is ...

  -14 ≤ x ≤ 20

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

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;