If Log 4 (x) = 12, then log 2 (x / 4) is equal to A. 11 B. 48 C. -12 D. 22

A bag contains n blue and m red marbles. You randomly pick a marble from the bag, write down its color, and then put the marble

Oksana_A [137]

Answer:

(mn+n²)/(m+n)

Step-by-step explanation:

probability of blue marble= n/(n+m)

probability of red marble= m/(n+m)

probability that process stops = Probability of both blue + probability of both red= n/(n+m) × n/(n+m) + m/(n+m)×m/(n+m)

= (n²+m²)/(n+m)²

P(1st marbel is blue)= P(blue and red) + P(blue and blue)

= mn/(n+m) + n²/(n+m)

= (mn+n²)/(m+n)

P(1st marble is blue | process stops)= ( (mn+n²)/(m+n)× (n²+m²)/(n+m)²)/ ((n²+m²)/(n+m)²)

= (mn+n²)/(m+n)

3 0

3 years ago

Please help with this question

leonid [27]

We know that $\sin(45)=\cos(45)$ and this is the only point when sin and cos are equal lengths. Because both $\sin(45),\cos(45)=\dfrac{\sqrt{2}}{2}$

Now if the sin of 30° is a half that would mean that cos of 60° is also a half.

Hope this helps.

r3t40

5 0

3 years ago

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If

natima [27]

Answer:

d) one solution; (4, 1)

Step-by-step explanation:

It often works well to follow problem directions. A graph is attached, showing the one solution to be (4, 1).

_____

You know there will be one solution because the lines have different slopes. Each is in the form ...

y = mx + b

where m is the slope and b is the y-intercept.

The first line has slope -1 and y-intercept +5; the second line has slope 1 and y-intercept -3. The slope is the number of units of "rise" for each unit of "run", so it can be convenient to graph these by starting at the y-intercept and plotting points with those rise and run from the point you know.