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lidiya [134]
3 years ago
6

a coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

1/3; 33% chance

Step-by-step explanation:

1/2 (prob. of tossing tails) * 2/3 (prob of rolling < 2) = 1/3

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4. The figure below consists of a square and 2 semicircles, with dimensions as shown. What is the outside perimeter, in centimet
Anastaziya [24]

Answer:

41.13 centimeters (rounded to 2 decimal places)

Step-by-step explanation:

The perimeter is the sum of all sides of the figure.

This figure consists of two semicircular lines (right and left) and two lines (top and bottom). We add up all of them and find the perimeter of the figure.

5 0
3 years ago
You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3
Charra [1.4K]

Answer:

Dimensions will be

Length = 7.23 cm

Width = 7.23 cm

Height = 9.64 cm

Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

h=\frac{504}{lw}

Sides which involve length and width and height, cost = 3 cents per cm²

Top and bottom of the box costs = 4 cents per cm²

Cost of the sides C_{s}= 3[2(l + w)h] = 6(l + w)h

C_{s}= 3[2(l + w)h]

C_{s}=6(l+w)(\frac{504}{lw} )

Cost of the top and the bottom C_{(t,p)}= 4(2lw) = 8lw

Total cost of the box C = 3024\frac{(l+w)}{lw} + 8lw

                                      = 3024[\frac{1}{l}+\frac{1}{w}] + 8lw

To minimize the cost of the sides

\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0

\frac{3024}{l^{2}}=8w

\frac{378}{l^{2}}=w ---------(1)

\frac{dC}{dw}=3024(-w^{-2})+8l=0

\frac{3024}{w^{2}}=8l

\frac{378}{w^{2}}=l

w^{2}=\frac{378}{l}-------(2)

Now place the value of w from equation (1) to equation (2)

(\frac{378}{l^{2}})^{2}=\frac{378}{l}

\frac{(378)^{2} }{l^{4}}=\frac{378}{l}

l³ = 378

l = ∛378 = 7.23 cm

From equation (2)

w^{2}=\frac{378}{7.23}

w^{2}=52.28

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

h=\frac{504}{(7.23)^{2}}

h = 9.64 cm                        

6 0
3 years ago
A Pizza place offers 4 different styles: Cheese, Pepperoni, Meat Lovers, and Hawaiian. They offer 3 sizes: Medium, Large, and X-
blondinia [14]

Answer:

36 different pizzas

Step-by-step explanation:

7 0
3 years ago
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Tell which value of the variable, if any, is a solution to the equation.
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Answer:

14

Step-by-step explanation:

14+9=25

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What is the answer for y=3x+6
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Answer:x=(y-6)/3

Step-by-step explanation:

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