Answer:
5
Step-by-step explanation:
hope this helps
Answer:
a) Robert, Juan, linda
b) Joel
c) Susan, Jan
d) 165.4
173.4
134.5
156
147.3
170.2
Step-by-step explanation:
The standardized normal distribution N (0,1) that expresion stands for normal distribution with mean 0 and standard deviation 1, therefore all positive values are above 0 and all negativa values are below 0
The sample n is 6 then we should use t-student distribution, we calculate t statistic as follow
t = (x-μ)/εε where standard error is εε = σ/√6 εε = 9.795 since σ =24
Robert
0.96 * 9.795 = x - 156 ⇒ x = 165.4
1.78 * 9.795 = x - 156 x = 173.4
-2.2 * 9.795 = x - 156 x = 134.5
0 * 9.795 = x- 156 x= 156
-0.89* 9.795 = x -156 x = 147.3
1.45 * 0.9795 = x -156 x = 170.2
Answer:
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Step-by-step explanation:
Given
Volume of a box = length × breadth × height= l×b×h
In this case the box have a square base. i.e l=b
Volume V = l^2 × h
The surface area of a square box
S = 2(lb+lh+bh)
S = 2(l^2 + lh + lh) since l=b
S = 2(l^2 + 2lh)
Given that the box is open top.
S = l^2 + 4lh
And Surface Area of the box is 1200cm^2
1200 = l^2 + 4lh ....1
Making h the subject of formula
h = (1200 - l^2)/4l .....2
Volume is given as
V = l^2 × h
V = l^2 ×(1200 - l^2)/4l
V = (1200l - l^3)/4
the maximum point is at dV/dl = 0
dV/dl = (1200 - 3l^2)/4
dV/dl = (1200 - 3l^2)/4 = 0
3l^2= 1200
l^2 = 1200/3 = 400
l = √400
I = 20cm
Since,
h = (1200 - l^2)/4l
h = (1200 - 20^2)/4×20
h = (800)/80
h = 10cm
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Answer:
It will take you 0.24 hour to ride to your grandparents’ home
It will take you 14 minutes to ride to your grandparents’ home
Step-by-step explanation:
- Your average speed is 15 miles per hour
- The distance to grandmother home is 3.67 miles
- You need to know how long it will take you to do that
∵ Distance = speed × time
∵ Distance = 3.67 miles
∵ Speed = 15 miles per hour
- Substitute these values in the rule above
∴ 3.67 = 15 × time
- Divide both sides by 15 to find the time
∴ Time = 0.24 hour
* It will take you 0.24 hour to ride to your grandparents’ home
- You need to convert the time from hour to minutes
∵ 1 hour = 60 minutes
∵ Time = 0.24 hour
∴ Time = 0.24 × 60 = 14.4
∴ Time ≅ 14 minutes
* It will take you 14 minutes to ride to your grandparents’ home
