Answer:
The 90% confidence interval for the mean µ of the population of female runners.
( 65.0328 , 66.5672)
Step-by-step explanation:
<u>Step(i)</u>
Given A sample of 12 runners showed a sample mean height of 65.80 inches and a sample standard deviation of 1.95 inches.
Given sample size is n = 12 <30 so small sample
Given sample mean (x⁻) = 65.80 inches
sample standard deviation (S) = 1.95 inches.
<u>Step(ii)</u>
Assume the population is approximately normal.
The 90% confidence interval for the mean µ of the population of female runners.
substitute all above interval
The degrees of freedom γ=n-1 = 12-1=11
From t- table = 1.363 at 90 % 0r 0.10 level of significance
on calculation , we get
(65.80 -0.7672 ,65.80 + 0.7672)
( 65.0328 , 66.5672)
The expression for perimeter of triangle is 6x + 21
<em><u>Solution:</u></em>
Given that,
Let the length of the bottom of the triangle be "x"
Another side is 7 more than 4 times the length of the bottom of the triangle
Length of another side = 7 + 4x
The last side is 14 more than the bottom of the triangle
Length of last side = 14 + x
<em><u>The perimeter of triangle is given as:</u></em>
Perimeter = sum length of length of all 3 sides of triangle
Thus expression for perimeter of triangle is 6x + 21
Answer:
300
Step-by-step explanation:
Multiply the length which is 30 cm by 10 to give you the length in mm.
Answer:
109
Step-by-step explanation:
9 + |-78| - (-22)
Apply the absolute value which states |-x| = x.
9 + 78 - (-22)
Apply the rule that states x - (-y) = x + y.
9 + 78 + 22
Add 9 and 78.
87 + 22
Add 87 and 22.
109.
Just look at the x axis (horizontal) and see where x=1 or go 1 unit from the origin (0,0), then go up untill you hit a point that coresponds witha y value which looks to be 2 so coresponding y for x=1 is y=2
if we are given point (1,2) then
(x,y)
x=1
y=2
that is the solution already
