Answer:
63/50 meters^2 or in mixed number: 1 13/50 meters^2
Step-by-step explanation:
Area= length * width
length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22
width= 3/10
21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).
21*3 / 5*10
Answer:
The answer is 915
Step-by-step explanation:
Because if you add 305 three times you get the correct answer
hope this helps
The equivalent sets are <u>X n Y = { } and X U Y= {5, 6, 7,8, 9, 10, 12 ,14}</u>
<h3>Set theory and notation</h3>
Given the following sets expressed as;
X = {8, 10, 12, 14}
Y = {5, 6, 7, 8,9}
Since union means the combination of all the elements in both sets and intersection is the common elements in the set, hence;
X n Y = { }
X U Y= {5, 6, 7,8, 9, 10, 12 ,14}
Note that the intersection is an empty set since there is no common element
Learn more on set theory here: brainly.com/question/13458417
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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
