Answer:
<u>Part A: US$ 17</u>
<u>Part B : US$ 102</u>
Step-by-step explanation:
1. Let's check all the information given to us to answer the question correctly:
Dinner bill = US$ 85
Tip to the server = 20% of the bill
2. What’s the tip?
20% = 0.2
Tip to the server = 0.2 * 85
<u>Tip to the server = 17</u>
3. What’s the total of the dinner?
Total of the dinner = Dinner bill + Tip to the server
Total of the dinner = 85 + 17
<u>Total of the dinner = 102</u>
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
22.5 (shower) = X (variable used in place of the amount of water she uses to wash clothes) - 7.5 (the amount she used in the shower is 7.5 gallons less than she uses for washing clothes)
22.5 = X - 7.5 《 This is the equation.
Solve is by adding 7.5 to both sides to cancel out the negative 7.5 and you get (X = 30). Hope this helps.
Answer:
L = 15.53 ft
Step-by-step explanation:
using diagram which is attached below
now, using Pythagoras theorem
L² = b² + (5 + x)²...............(1)
using similarity of triangle
from equation (1)
for maxima or minima
x = -5 and x = ∛190 = 5.74
on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder
now,
L² = 241.38
L = 15.53 ft
