What is the probability of rolling a number less than or equal to eight with the sum of two dice, given that at least one of the
dice must show a 6?
1 answer:
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Answer:
Step-by-step explanation:
2/3= 0.66666
Dividing the given value to obtain the decimal value gives:
The last number is 7 which is greater than 5 this will increment the previous number by 1.
As,the previous values are also '6', so this step will continue till three significant figures.
So the value rounded up to 3 significant is
Answer:
Step-by-step explanation:
Hello
please find attached the graph
you can notice that
(a) from the graph we can say that there is no maximum and one minimum in x = 3
and then f(3) = 0 so o is the minimum of f
(b) vertex is (3,0)
(c) x = 3 is an axis of symmetry
(d) as the root is 3
(e) y=9 for x = 0 so the y-intercept is 9
do not hesitate if you need further explanation
if you like my answer, tag it as the brainliest :-)
Answer:
the rate of change of height when the water is 1 meter deep is 21 m/min
Step-by-step explanation:
First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)
here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).
As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:
this can be substituted back in the volume equation
the rate of the water flowing in is:
The question is asking for the rate of change of height (m/min) hence that can be denoted as:
Using the chainrule:
the only thing missing in this equation is dh/dV which can be easily obtained by differentiating the volume equation with respect to h
reciprocating
plugging everything in the chain rule equation:
L = 12, and h = 1 (when the water is 1m deep)
the rate of change of height when the water is 1 meter deep is 21 m/min