If you were to roll the dice one time what is the probability it will land on 4

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

8 0

Answer:

1/6

there are 6 sides of a dice so the probability it will lad on 4 is 1/4

Step-by-step explanation:

vovangra [49]3 years ago

3 0

Answer: 1/6

Step-by-step explanation: To find the probability of rolling a 4, let's use our ratio for the probability of an event which is shown below.

Number of favorable outcomes/total number of outcomes

Since only one side of a number cube has a 4 on it, the number of favorable outcomes for rolling a 4 is 1 and since there are six sides to a number cube and it's equally likely that the cube will land on any of these sides, the total number of outcomes is 6.

So the probability of rolling a 4 is 1/6 which is equivalent

to 0.167 or 16.7%.

That means it is't likely that you would roll a 4 for instance but it's just as likely as rolling any other number.

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(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$