Answer: To find the vertex: use formula x= -b/2a.
plug x into the given equation to find y value.
now you have (h,k)
find a point on the graph and plug in to the vertex form equation to find "a"
Step-by-step explanation:
Answer:
0.064 = 6.4% probability that all three black socks are black if you replace each sock before selecting the next one
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
There are 10 socks, four of which are black.
The socks are replaced, which means for each time a sock is picked, there is a 4/10 = 0.4 probability of being black.
Three socks:
(0.4)^3 = 0.064
0.064 = 6.4% probability that all three black socks are black if you replace each sock before selecting the next one
Step-by-step explanation:
Let E be the event of drawing a disc from the box of discs numbered from 1 to 90
Two digit numbers from 1 to 90=10,11,12,.....,90
No. of favorable outcomes=81
Total no. of possible outcomes =90
We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=9081=109
Therefore, the probability of a two digit numbered disc from the box of discs numbered from 1 to 90=109
hope it helps !
Answer:
A=24, B=40, P=60
Step-by-step explanation:
<em>given: </em>
<em>P+A+B=124</em>
<em>2P+B=160</em>
<em>P+2A+2B=188</em>
___________
P=188-2A-2B
P=124-A-B
188-2A-2B=124-A-B
188-A-B=124
188=124+A+B
A+B=64
___
P+A+B=124
P=60
___
2P+B=160
120+B=160
B=40
___
A+B=64
A=24
___
If we substitute each variable in the three given equations for these values, the equations hold true. Therefore, these are the correct values.