Answer:
1/40
Step-by-step explanation:
Probability: (number of ways to achieve the desired result / number of possible results)
For example, if we want a coin to land on heads:
We know there is one way for it to land on heads and two possible outcomes. Thus, the possibility of flipping a head is 1/2.
Using this, we know that there are 5 grey marbles (the desired result) and there are (5 + 3 + 6 + 2 + 4) total possible outcomes. The probability of drawing a grey marble is then:
5 / (5 + 3 + 6 + 2 + 4) =
5/20 =
1/4
We also know that there are 2 yellow marbles, so the probability of drawing one would be: 2 / 20 = 1/10
To find the probability of both of these events happening right after each other, multiply the probability of them each happening together.
1/4 * 1/10 = 1/40 chance of picking a grey marble and then a yellow marble.
Answer:
B
Step-by-step explanation:
I just had the same question :)
Answer:
see below
Step-by-step explanation:
<em><u>sin(a+b) = sin(a)cos(b) + cos(a)sin(b)</u></em>
sin(π+q) = sin(π)cos(q) + cos(π)sin(q)
sin(π) = 0
cos(π) = -1
therefore
sin(π+q) = 0*cos(q) -sin(q) = -sin(q)
Answer:
4:1
Step-by-step explanation:
The number of minutes it will take 5 machines to make 15 widgets is 90 minutes
Given that :
The time taken to make a widget is directly proportional to the number of widgets made and inversely proportional to the number of machines utilized.
Using the variation protocol defined :
Let :
n = number of widgets made
n = number of widgets made m = number of machines used
n = number of widgets made m = number of machines used t = time taken
Hence, from joint variation :
t α n α 1/m
t = kn/m
Where k = constant of proportionality :
Solving for k
When t = 10, n = 5, m = 15
10 = (k × 5) / 15
15 × 10 = 5k
150 = 5k
k = 150 / 5
k = 30
Equation becomes :
t = 30n/m
Solve for t ;
When m = 5 ; n = 15
t = (30 × 15) / 5
5t = 450
t = 450 / 5
t = 90
Hence, it will take 90 minutes.
Learn more : brainly.com/question/18796573
