Answer:
1.00434
Step-by-step explanation:
Given the following :
Given a normal distribution ;
Mean (m) = 1.0 liter
Standard deviation (σ) = 0.01 liter
Sample size (n) = 25
For 97% sample means (sm) = 0.97
Z = (m - sm) / s
Zcrit = 1 - (100% - 97%)/2
Zcrit = 1 - (0.03/2)
Zcrit = 1 - 0.015 = 0.985
The z score which corresponds to 0.985 = 2.17
Upper limit : m + z*(σ/√n)
Upper limit : 1.0 + 2.17*(0.01/√25)
Upper limit : 1. 0 + 2.17*(0.01/5)
= 1.0 + 2.17*0.002
= 1.0 + 0.00434
= 1.00434
Answer:
139.71
Step-by-step explanation:
22% of 179.11 is 39.40
179.11 - 39.40 = 139.71
Step-by-step explanation:
It is an isosceles triangle , it has two equal angles both 55°.
All Isosceles triangles have two equal angles <em>a</em><em>n</em><em>d</em> two equal sides.
So in this case x +18 is equal to 3x, and to find x you will equal them to each other to create a linear equation and solve.
x + 18 = 3x
x - 3x = -18
-2x = -18
× = -18 / -2
× = 9 <em>(</em><em>a</em><em>n</em><em>s</em><em>)</em><em> </em>
Hope I was able to help. Good Luck :)))
10
Because if you do 5•2 you get 10
More in depth explanation:
Though there are 25 possible configurations the question asks for two different toppings together. It also asks for unique combinations. So AB and BA are the same combination in this context. The only unique possibilities are
AB
AC
AD
AE
BC
BD
BE
CD
CE
DE
It is easy to simplify this into 5•2 for this situation. And if the question asked for three toppings you would do 5•3.
However if the question asked for the configurations for two toppings then you would do 5•5 and if it asked for the configurations of 3 toppings you would do 5•5•5