How to do this cause I am confused
1 answer:
The answer is: " 268.666 in² " .
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Explanation:
_____________________________________________________
Formula for area of circle (shape of pizza):
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A =
* r² ;
in which: "A = area of the pizza (area of a circle)" ; for which we are to solve.
"" = 3.14 (approximation we shall use) ;
r = radius = "d/2" ; d = diameter = 18.5 in (given) ;
r = d/2 = (18.5 in. / 2) = 9.25 in.
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Plug our known values into the formula to solve for "A" (area):
A = * r² ;
= (3.14) * (9.25 in)² ;
= (3.14) * (9.25)² * (in²) ;
= (3.14) * (85.5625) * (in²) ;
= 268.66625 in² ;
_________________________________________
Round to: " 268.666 in² " .
_________________________________________
______________________________________________________
Explanation:
_____________________________________________________
Formula for area of circle (shape of pizza):
______________________________________________________
A =
in which: "A = area of the pizza (area of a circle)" ; for which we are to solve.
"
r = radius = "d/2" ; d = diameter = 18.5 in (given) ;
r = d/2 = (18.5 in. / 2) = 9.25 in.
_______________________________________________
Plug our known values into the formula to solve for "A" (area):
A =
= (3.14) * (9.25 in)² ;
= (3.14) * (9.25)² * (in²) ;
= (3.14) * (85.5625) * (in²) ;
= 268.66625 in² ;
_________________________________________
Round to: " 268.666 in² " .
_________________________________________
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Answer:
The probability of the sample mean foot length less than 23 cm is 0.120
Step-by-step explanation:
* Lets explain the information in the problem
- The eighth-graders asked to measure the length of their right foot at
the beginning of the school year, as part of a science project
- The foot length is approximately Normally distributed, with a mean of
23.4 cm
∴ μ = 23.4 cm
- The standard deviation of 1.7
∴ σ = 1.7 cm
- 25 eighth-graders from this population are randomly selected
∴ n = 25
- To find the probability of the sample mean foot length less than 23
∴ The sample mean x = 23, find the standard deviation σx
- The rule to find σx is σx = σ/√n
∵ σ = 1.7 and n = 25
∴ σx = 1.7/√25 = 1.7/5 = 0.34
- Now lets find the z-score using the rule z-score = (x - μ)/σx
∵ x = 23 , μ = 23.4 , σx = 0.34
∴ z-score = (23 - 23.4)/0.34 = -1.17647 ≅ -1.18
- Use the table of the normal distribution to find P(x < 23)
- We will search in the raw of -1.1 and look to the column of 0.08
∴ P(X < 23) = 0.119 ≅ 0.120
* The probability of the sample mean foot length less than 23 cm is 0.120
