Anyone know the area?
1 answer:
Answer: The area of the triangle is: " 8.5 cm² " ;
or, write as: " 8
cm² " .
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Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:
A = () * b * h ;
in which: A = area;
b = base;
h = [perpendicular] height;
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{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________
A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = " 8.5 cm² " ; or, write as: " 8 cm² " .
_________________________________________________________
Answer: " 8.5 cm² " ; or, write as: " 8 cm² " .
_________________________________________________________
The area of the triangle is: " 8.5 cm² " ;
or, write as: " 8 cm² " .
_________________________________________________________
or, write as: " 8
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:
A = (
in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________
{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________
A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = " 8.5 cm² " ; or, write as: " 8
_________________________________________________________
Answer: " 8.5 cm² " ; or, write as: " 8
_________________________________________________________
The area of the triangle is: " 8.5 cm² " ;
or, write as: " 8
_________________________________________________________
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Answer:
The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Step-by-step explanation:
The complete question is:
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.
Solution:
The (1 - <em>α</em>)% confidence interval for population mean is:
The margin of error for this interval is:
The critical value of <em>z</em> for 90% confidence level is:
<em>z</em> = 1.645
Compute the required sample size as follows:
Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.