Answer:
Step-by-step explanation:
We would use the t- distribution.
From the information given,
Mean, μ = 2950
Standard deviation, σ = 115
number of sample, n = 25
Degree of freedom, (df) = 25 - 1 = 24
Alpha level,α = (1 - confidence level)/2
α = (1 - 0.98)/2 = 0.01
We will look at the t distribution table for values corresponding to (df) = 24 and α = 0.01
The corresponding z score is 2.492
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
2950 ± 2.492 × 115/√25
= 2950 ± 2.492 × 23
= 2950 ± 57.316
The lower end of the confidence interval is 2950 - 57.316 =2892.68
The upper end of the confidence interval is 2950 + 57.316 = 3007.32
The solution is correct.
Answer Perimeter = 33in
Step-by-step explanation:
AC = 20
BD = 20
AB = 13
O is the midpoint
OD = OC = 20/2 = 10
AB = DC = 13 in
P = DC + OD + OC = 13+10+10 = 33in
They are not parallel because the slopes are different (slope of 4 and slope of 0.25)
Neither are they perpendicular. If they were then m1*m2 ( the product of their slopes) would be -1 ). The product of these slopes = 4*0.25 = 1)
So choice A is the correct one.
Answer:
6.5in
Step-by-step explanation:
find the area of the shaded regions
fine the surface area of the square
A = 2×2
A = 4
find the area of the triangle
A = 1/2bh
A = 1/2×2×2.5
A = 2.5
add the areas
2.5+4 = 6.5
The Answer would be y=-3x
