Answer:
option A is correct.
Explanation:
Total Area of the prism: 8 + 48 + 8 + 24 + 24 + 48 = 160 ft²
<u>Area of rectangular prism</u>: 2(LW+HW+HL)
<u>Option A</u>
2(2*4+4*12+12*2)
2(8+48+24)
2(80)
160 ft²
Round pan volume is:
3.14•r^2•h
D=7 so r=3.5 in
3.14• (3.5^2)•2 = 76.97 in^3
Rec. pan vol. is :
9•6•2= 108 in^3
Rec. Pan is larger because 108 in^3 is > 76.97 in^3 :) .
The icing that will be needed to frost the round cake pan is:
We need to find the surface area:
S.A= 3.14r^2 + 2 • 3.14•r • h .... 3.14 is the value of PI
So, S.A= 3.14• 3.5^2 + 6.28• 3.5• 2= 82.47 in^2 the icing that'll be needed to frost the round cake pan.
Icing that will be needed for the rec. cake pan is:
2•9•2=36 in^2
6•9•2= 108in^2
6•2= 12 in^2
S.A= 156 in^2 the icing needed to frost the rec. cake pan .... the S.A of all sides except the bottom one :).
Good luck ;-)
The lottery's anticipated worth is $80.
Given that,
The probability of receiving $125 is 0.25; the likelihood of receiving $100 is 0.3; and the likelihood of receiving $50 is 0.45.
A) EV=125*.2+100*.3+50*.5=$80
The lottery's anticipated worth is $80.
The expected value is obtained by multiplying each result by its likelihood.
The expected value of the lottery is then calculated by adding up all of these.
This is what we have: ;;
125(0.2) + 100(0.3) + 50(0.5) (0.5)
= 25 + 30 + 25 = $80
B) This is the formula for variance is shown in figure :
So, we can calculate the variance as follows:
.2*(125-80)^2+.3*(100-80)^2+.5*(50-80)^2=975
C) A risk-neutral person would pay $80 or less to play the lottery.
To learn more about probability click here:
brainly.com/question/14210034
#SPJ4
Answer:
4a+6
Step-by-step explanation:
Answer:
$16.50
Step-by-step explanation:
The base price of the service is $9 and each song he downloaded is $0.50 so in turn you'd have to multiply 15(because he downloaded 15 songs) by $0.50 which would give you $7.50. then you'd add $9 and $7.50 to get $16.50
