Answer:
y=1.87x+3.66
Step-by-step explanation:
if you use a TI calculator, you can put the dots in a chart to figure this out.
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
Answer: y lesser than 50 inches
Step-by-step explanation:
To play the bouncy castle at the school carnival one must be shorter than 50 inches tall.
Let h represent the required height to play in the bouncy castle. So y must be shorter than 50 inches tall.
Therefore, the inequality is
y lesser than 50 inches
Where y is in inches
The inequality is shown in the attached photo with the proper symbol of lesser than.
Answer:
- B. g(x) = (x - 2)^(1/2) + 3
Step-by-step explanation:
<u>This is B</u>
- (x - 2) is not negative and defined when x≥0
- g(x) gets minimum value of 3 at minimum value of x = 2
