Dependent events influence the probability of other events – or their probability of occurring is affected by other events. Independent events do not affect one another and do not increase or decrease the probability of another event happening.

Step-by-step explanation:

see above

5 0

3 years ago

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Gilbert is baking cookies and brownies for a bake sale. It costs him $3 for every batch of cookies he makes and $4 for every bat

Brilliant_brown [7]

Let c=the number of batches for the cookies; b=that for the brownies.
If $P=the profit, then
maximize P=5c+4.5b, subject to the constaints:
3c+4b<=100 (cost)
2c+b<=45 (time)
b,c >=0
The simplest way to find the suitable b & c is
to solve
3c+4b=100
2c+b=45
for b & c
The result is b=13 & c=16
=>
max. p=5(16)+4.5(13)=$138.5

Hope this helps :)

5 0

3 years ago

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h=-6t^2+6t where h is th

Anarel [89]

Answer:

1 seconds

Step-by-step explanation:

The number of seconds till the frog back on the ground is as follows:

Let us assume the h be the height of the frog

And, the t is the time

Given that

$h = -6t^2 + 6t$

Here we assume at the ground the h = 0

So,

$0 = -6t^2 + 6t$

Now divide by 6

$0 = -t^2 + t\\\\0 = t(-t + t)\\\\t = 0 \\\\0 = -t + t\\\\t = 0 \\\\ t = 1$

So for getting back to the ground it comes back in 1 seconds

5 0

3 years ago