Complete question :
Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey NHANES) to estimate dietary intake of 10 key nutrients. One of those nutrients was calcium in all adults 60 years or older a mean daily calcium intake of 721 mg with a standard deviation of 454. Usin these values for the mean and standard deviation for the U.S. population, find the probability that a randonm sample of size 50 will have a mean: (mg). They found a) Greater than 800 mg b) Less than 700 mg. c) Between 700 and 850 mg.
Answer:
0.10935
0.3718
0.9778
0.606
Step-by-step explanation:
μ = 721 ; σ = 454 ; n = 50
P(x > 800)
Zscore = (x - μ) / σ/sqrt(n)
P(x > 800) = (800 - 721) ÷ 454/sqrt(50)
P(x > 800) = 79 / 64.205295
P(x > 800) = 1.23
P(Z > 1.23) = 0.10935
2.)
Less than 700
P(x < 700) = (700 - 721) ÷ 454/sqrt(50)
P(x < 700) = - 21/ 64.205295
P(x < 700) = - 0.327
P(Z < - 0.327) = 0.3718
Between 700 and 850
P(x < 850) = (850 - 721) ÷ 454/sqrt(50)
P(x < 850) = 129/ 64.205295
P(x < 700) = 2.01
P(Z < 2.01) = 0.9778
P(x < 850) - P(x < 700) =
P(Z < 2.01) - P(Z < - 0.327)
0.9778 - 0.3718
= 0.606
Equations:
x + y = 26
x - y = 4
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Add to get:
2x = 30
x = 15
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Solve for "y":
x + y = 26
15 + y = 26
y = 11 (smaller number)
Step-by-step explanation:
these are composite functions : a function of a function of a value.
this can have many more "staging" levels.
in essence, we calculate the functional result of the innermost function (with the given value) first, use that functional result as input value for the next function to the left. use that functional result as input value for the next function to the left. ...
f(g(x)) means therefore we start with g(x).
g(f(x)) means we start with f(x).
that is all. it is really simple. and actuality fun (like a maze - remember e.g. computer games, where you walked through one door and excited through a totally different door ?).
f(g(0)) =
so, we need g(0) = 4 - 0² = 4
and now we calculate
f(4) = 7×4 + 6 = 28 + 6 = 34
therefore,
f(g(0) = 34
g(f(0)) =
so, we need f(0) = 7×0 + 6 = 6
and now we calculate
g(6) = 4 - 6² = 4 - 36 = -32
therefore,
g(f(0)) = -32
Answer:
18 is the number that would go in the green box 33/3 =11 and 54/3 = 18