Answer:
See in the picture
Step-by-step explanation:
I solved the valye for the ticket using linear systems, defining X and Y as the ticket value for adults and children.
I write the number seven with a bar on it. I hope you understand it (see 7.5 in the picture)
The probability that the value selected at random is greater than 30 will be found as follows:
z-score is given by:
z=(x-mu)/sig
z=(30-30)/2=0
thus
P(x>30)=1-P(X<30)=1-P(z<0)=1-0.5=0.5
Answer P(x>30)=0.5
Answer:
Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
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Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
<u>Left Trapezoid</u>
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
<u>Middle Rectangle</u>
A = LW
A = (13 m)(11 m) = 143 m²
<u>Right Trapezoid</u>
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
<u>Wall Area</u>
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
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A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
The answer is 2/(15*0.8) hours = 2/12 hours
= (2/12)*60 mins [ 1 hour = 60 mins]
= 10 mins
