Answer:
Null hypothesis is rejected. Standard deviation is > 8 miles per hour
Step-by-step explanation:
σ [Population standard deviation] = 8 , s [sample standard deviation] = s
n [no of items] = 8
H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8
χ2 = (n - 1) . s^2 / σ^2
= 49 x (10.5)^2 / 82 = 5402.25 / 64
χ2 = 84.410
df [degree of freedom] = n -1 = 50 - 1 = 49
P value (χ^2 49 > 84.410) = 0.00125
p = 0.0013
p < α ie 0.05
So, H0 is rejected
Hence we state that standard deviation is > 8 miles per hpur
Answer:
Length of the field: 94 m
Width of the painting: 61 cm
Step-by-step explanation:
Use the perimeter formula, P = 2l + 2w, to find the length:
Plug in the perimeter and width into the equation:
P = 2l + 2w
336 = 2l + 2(74)
336 = 2l + 148
188 = 2l
94 = l
So, the length of the field is 94 m.
To find the width of the painting, use the area formula, A = lw
Plug in the area and length into the equation:
A = lw
5795 = 95w
61 = w
So, the width of the painting is 61 cm.
Length of the field: 94 m
Width of the painting: 61 cm
Let x be the yearly salary of an architect. Then the yearly salary of a lawyer is 2x-20000.
We can build an equation now! x+(2x-20000)=211000, because the yearly salary of an architect plus the yearly salary of a lawyer is 211000.
We combine like terms to get 3x-20000=211000.
We add 20000 to both sides to get 3x=231000.
We divide both sides by 3 to get x=77000, so the average yearly salary of a lawyer is 77000.
Then, the average yearly salary of an architect is 2(77000)-20000=154000-20000=134000, so the average yearly salary of an architect is 134000.
Answer: 135 nickels
Step-by-step explanation:
135 Nickels is $6.75 and 165 dimes is $16.50
That's 300 coins. $6.75 + $16.50 = $23.25
