Answer:
Step-by-step explanation:
Data Given: m = 70 kg , g = 9.8 ms^-2, h =10m.
For this case we can use the following formula:
For this case we need to find an expression for the force in terms of the distance. And since on this case the total distance is 10 m long we can write the expression like this:
The only acceleration on this case is the gravity and if we replace the values given we got:
Now we can find the required work with the following integral:
If the corresponding sides of two similar triangles have congruent angles than the sides correspond to each other
in triangle abc
and triangle def
ab:de
bc:ef
ca:fd
so they correspond in ratio but are not necessarily congruent
if in the similar triangles the sides are equal than the angles will correspond in ratio to add up to 180 degrees
so if triangle abc≈ triangle def
then
∠abc:∠def
∠bca:∠efd
∠cab:∠def
50/36 = 1.39 per litre (or 1.86 dollars for those in the United States)
Complete question :
The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last: 360 and 460 days
Answer:
0.67307
Step-by-step explanation:
Given that :
Mean, m = 400
Standard deviation, s = 50
Sample size, n = 6000
Obtain the standardized score :
Zscore =(x - m) / s
For X = 360
P(x < 360)
Zscore =(360 - 400) / 50
Zscore = - 40 / 50
Zscore = - 0.8
P(Z < - 0.8) = 0.21186
For X = 460
P(x < 460)
Zscore =(460 - 400) / 50
Zscore = 60 / 50
Zscore = 1.2
P(Z < 1.2) = 0.88493
P(Z < 1.2) - P(Z < - 0.8)
0.88493 - 0.21186
= 0.67307
