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
Answer:
height: 125m; distance: 500m
Step-by-step explanation:
x = 250
f(x) = x − 0.002x2
f(x) = 250 − 0.002(250 )2
= 250 − 0.002(62,500)
= 250 − 125
= 125
250 times 2 = 500
1. the last one
2.the first one hope this helps.
Answer:
16 minutes
Step-by-step explanation:
Tom walks for 5 minutes longer than he rides. To figure out the answer, start by subtracting 5:
27 - 5 = 22
Now that you have done this, divide 22 by 2:
22/2 = 11
Now you know that he rode the bus for 11 minutes, and you can add five to the other 11 minutes to know how long he walked:
11 + 5 = 16.
Answer:
The answer should be 69°
Step-by-step explanation:
Each line is being cut by a transversal, that means that the degree on the other side of it, added with the given degree will add up to 180°
1. On the right, you need to find the interior angle where 160° is outside so you subtract 180° from 160° to find the angle inside. That gives you 20°
2. On the top left you have 131° so 180°-131°=49°
Next you add the angles you have and then subtract it from 180 to get the interior angle with n° outside.
3. 20°+49°=69°
4. 180°-69°=111°
Then you do the same thing as the beginning which would be n°+111°=180°
5. n°+111°=180°, that means n=69°
Hopefully that clears it up for you :)
