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3 years ago

Fez rolls 2 fair dice and adds the results from each.

Mathematics

1 answer:

Anestetic [448]3 years ago

8 0

Answer:

7/12.

Step-by-step explanation:

The favourable outcomes are (1,6), (2,5), (2,6), (3,4), (3,5), (3,6) (4,5), (4,6) (5,6),

(6,1), (5,2) (6,2) (4,3) (5,3) (5,4) (6,3) (6,4) (6,5) (4,4) (5,5) (6,6)

= 21.

Total number of possible outcomes = 6*6 = 36.

So it's 21/36

= 7/12.

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Three nurses attended a seminar for two days. The travel expenses for each nurse were $982. Additional expenses per nurse per da

Vlad [161]

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I got $8526 as an answer,

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3 years ago

Solve for c. 3c − 2 = 7 c =

son4ous [18]

Answer:

Exact Form:

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Step-by-step explanation:

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3 years ago

cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0

Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

Area of circular base=Area of circular top= $\pi r^2$

Total cost,C(r)= $0.02\times 2\pi rh+2\pi r^2\times 0.07$

Volume of cylinder, $V=\pi r^2 h$

$200=\pi r^2 h$

$h=\frac{200}{\pi r^2}$

Substitute the value of h

$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

$C(r)=\frac{8}{r}+0.14\pi r^2$

Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

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3 years ago

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timama [110]

Answer:

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3 years ago

What is the formula to find the hight of a square

kherson [118]

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6 0

4 years ago

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