SOMEONE HELP ME PLEASE

Mathematics

2 answers:

faust18 [17]3 years ago

5 0

Answer:

The answer is either 1, 3, or 5

Step-by-step explanation:

There are 6 sides on a singular die and the die is rolled twice the first time it rolls onto 4 and the second onto an odd number. The only odd numbers on a 6 sided die are 1, 3, and 5.

pychu [463]3 years ago

4 0

9514 1404 393

Answer:

1/12

Step-by-step explanation:

The probability of any given outcome is the ratio of the number of ways that outcome can happen to the total number of outcomes.

P(4) = 1/6 . . . . . roll = 4 is one of 6 possible outcomes

P(odd) = 3/6 = 1/2 . . . . . of the 6 possible outcomes, 3 are odd

The two rolls of the die are presumed to be independent, so the probability of the two outcomes is the product of their individual probabilities.

P(4 & odd) = (1/6)(1/2) = 1/12

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Lera25 [3.4K]

Answer:

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2 years ago

Find the length of the following two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16

andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

$r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)} dt$

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

$r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)} dt$