4 years ago

What's the probability of getting an even number and a head when rolling a die and then tossing a coin?

Mathematics

1 answer:

Elina [12.6K]4 years ago

7 0

Answer: 1/4

Step-by-step explanation:

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Ricky can paint a room in 4 hours. carrie can paint the same room in 3 hours. working together, how long would it take them to p

olga nikolaevna [1]

R can pain the room in 4 hours, C can paint the room in 3 hours
Both can paint the room in 1/ (1/3 + 1/4) hours
=12/7 hours

6 0

3 years ago

The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of 4 cm/s. When the length is

wlad13 [49]

The rectangle's area is the product of its length and width. Differentiating both the area and the product with respect to time $t$ gives

$A=\ell w\implies\dfrac{\mathrm dA}{\mathrm dt}=\ell\dfrac{\mathrm dw}{\mathrm dt}+\dfrac{\mathrm d\ell}{\mathrm dt}w$

The length and width increase at respective rates of $\frac{\mathrm d\ell}{\mathrm dt}=3\frac{\rm cm}{\rm s}$ and $\frac{\mathrm dw}{\mathrm dt}=4\frac{\rm cm}{\rm s}$ .

At the moment $\ell=15\,\mathrm{cm}$ and $w=11\,\mathrm{cm}$ , the area is increasing at a rate of

$\dfrac{\mathrm dA}{\mathrm dt}=(15\,\mathrm{cm})\left(3\dfrac{\rm cm}{\rm s}\right)+\left(4\dfrac{\rm cm}{\rm s}\right)(11\,\mathrm{cm})=89\dfrac{\mathrm{cm}^2}{\rm s}$