7 + 18 = 25
25 ÷ 7 = 3.5714285714285714285
so 3.5714285714285714285 is the answer
<h2>
Answer:</h2>
The graph is shown in the attached image
Answer:
Step-by-step explanation:
The formula of the area of a triangle is 
. Plugging in the given base and height values, you get 
. Hope this helps!
Answer:
a) 45 possible outcomes
b) 55 possible outcomes
Step-by-step explanation:
Given:
- Total cavities = 12
- Selection = 3 parts
- Non-conforming cavities = 2
Find:
a) How many samples contain exactly 1 nonconforming part?
b) How many samples contain at least 1 nonconforming part?
Solution:
- The question asks for the use of combinations to express the outcomes for each scenario.
- For first part, we want the inspector to pick exactly one non-conforming part among 3 selected. So let us say that he has already chosen that one non conforming cavity. Now he has to make 2 more selections out of total conforming cavities = 12 - 2 = 10 conforming cavities. Hence, the total possible outcome is to chose 2 randomly from 10 conforming cavities.
( Exactly 1 ) 10C2 = 45 possible outcomes
- The second part entails that at-least 1 non-conforming cavity is selected. To choose exactly 1 non conforming we calculated above. In the similar way calculate for selecting exactly 2 non-conforming cavities. The total possible outcome would be to choose from 10 conforming and we choose 1 from it:
( Exactly 2 ) 10C1 = 10 possible outcomes
- Hence, for at-least 1 non conforming cavity being selected we same the above two cases calculated:
(At-least 1 ) = ( Exactly 1 ) + ( Exactly 2 )
(At-least 1 ) = 45 + 10 = 55 possible outcomes
Question
each morning papa notes the birds feeding on his birdfeeder. so far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal. What is the probability of a blue jay being the next bird papa sees?
Answer:
Probability is the chance of an event occuring. It is obtained by the formula number of outcomes / total number of possible outcomes. The probability of a blue jay being the next bird papa sees is given by number of blue jays / total number of birds = 59 / (59 +68 + 12 + 1) = 59 / 140 = 0.4214
