Answer:
Independent events
Step-by-step explanation:
Given that:
Ramiro draws a marble from a jar without replacement and then flips a coin
Let
be the event that Ramiro draws a marble without replacement and;
Let
be the event of flipping a coin.
Let's have an analogy so that we can better understand the concept of independent and dependent events.
Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.
The event
does not in any way affect the event
of a head or a tail showing up in a flip of a coin.
Therefore, we say that
and
are independent events.
Suppose the event
affects or influence the event
, then we can say they are dependent events.
Answer:
70° and 20°
Step-by-step explanation:
let x be the measure of one angle then x + 50 is the measure of the other angle, thus
x + 50 + x = 90
2x + 50 = 90 ( subtract 50 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
The smallest angle is 20° and the other angle is 20 + 50 = 70°
Answer:
-4x - 24
Step-by-step explanation:
distribute the -4 by multiplying it by what is in the parenthisis. Since it is negative that makes a -4x and a -24
Answer:
5
Step-by-step explanation:
Because two times 5 equals ten
For this case, the first thing we want to do is substitute the value of y = 15 in the equation.
We have then:
15 = -0.08x ^ 2 + 1.6x + 10
Rewriting we have:
0 = -0.08x ^ 2 + 1.6x + 10 - 15
0 = -0.08x ^ 2 + 1.6x - 5
The solutions are:
x1 = 3.876275643042054
x2 = 16.123724356957947
Nearest whole number:
x1 = 4
x2 = 16
were about 15 tons of trout caught in the lake in the years:
1995 + 4 = 1999
1995 + 16 = 2011
Answer:
The year 1999 and the year 2011