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krek1111 [17]
2 years ago
11

Dan rolls a fair dice and flips a fair coin. What is the probability of obtaining an even number and a head

Mathematics
1 answer:
quester [9]2 years ago
7 0

Answer: 1/4

Step-by-step explanation:

A die has 6 figures which are 1, 2, 3, 4, 5 and 6. There are 3 even numbers which are 2, 4 and 6. A coin has 2 outcomes which are head or tail.

The probability of getting an even number is 3/6 = 1/2.

The probability of getting a head is 1/2.

Therefore, the probability of obtaining an even number and a head will be:

= 1/2 × 1/2

= 1/4

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3 years ago
The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.
kobusy [5.1K]

C = 220T + 1890.

Solve the equation for T.

220T = C - 1890

T = C/220 - 8.6

The steel produced is expected to be sold at a price of $310 per ton.

310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.

y = 310x

Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

* Here, note that the cost of production and tons of steel in the first equation is in the millions.  The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1

The unit multiplier of all variables must be specified as same. Either everything is in millions or not.

Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.

S = 310T

Set equal to Cost equation.

220T + 1980 = 310T

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1980 = 310T - 220T

1980 = 90T

T = 1980/90

T = 22 million tons steel produced


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2 years ago
Four people enter their names into a drawing. The winner receives one of two different prizes that are randomly selected. The tr
galina1969 [7]
A) (-4,2π/3)
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Step-by-step explanation:

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