Need help with this math question
1 answer:
Answer:
x = 3.1 ft
Step-by-step explanation:
Use Pythagoras' Theorem to find the base of the triangle. The base of the triangle is half of 'x'. Let's call the base 'y' for now.
To find 'y' we must use this formula,
'c' is the hypotenuse, the longer side, and 'b' is the other short side.
Sub in the numbers for 'c' and 'b',
= 2.45
Square root both sides to get 'y' by itself,
y = 1.5652.....
Remember that 'y' is half of x? Simply multiply 'y' by 2 to get an answer for 'x',
x = 1.5652.... x 2
= 3.1 ft (1 d.p. nearest tenth)
Hope this helped!!
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Answer:
95 percent confidence interval for μ is determined by
(60.688 , 69.312)
a) be the same
Step-by-step explanation:
<u>Step (i)</u>:-
Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.
The sample size is n= 121
The mean of the sample x⁻ = 65mph.
The standard deviation of the population is 22 mph
σ = 22mph
<u>Step (ii) :</u>-
Given The 95 percent confidence interval for μ is determined as
(61.08, 68.92)
we are to reduce the sample size to 100 (other factors remain unchanged) so
given The sample size is n= 100
The mean of the sample x⁻ = 65mph.
The standard deviation of the population is 22 mph
σ = 22mph
<u>Step (iii)</u>:-
95 percent confidence interval for μ is determined by
(65 - 4.312 ,65 +4.312)
(60.688 , 69.312) ≅(61 ,69)
This is similar to (61.08, 68.92) ≅(61 ,69)
<u>Conclusion</u>:-
it become same as (61.08, 68.92)