Answer:
c. 0.810
Step-by-step explanation:
Given, total % of satisfactory packages = 90% = 0.90
Now, since selecting a satisfactory package is independent of any other trials (i.e. all the selection trials are independent to each other)
Hence, Probability of selecting two packages that re satisfactory
P(Selecting 2 satisfactory packages) = (0.90)^2
P(Selecting 2 satisfactory packages) = 0.90*0.90
P(Selecting 2 satisfactory packages) = 0.810
Note: We are selecting product since the chance of selecting in each trials are independent.
Lucy would save $114.
Step 1: Multiply 6.175 x 30 = 185.25
Step 2: Divide 370,000/185.25 = 1,997
Step 3: Repeat Steps 1&2 but with (6.55 x 30) and divide 370,000/196.5 = 1,883.
Step 4: Subtract 1,997 - 1,883 = 114
Step 5: She will save $114 with points versus without.
Answer:
See the proof.
Step-by-step explanation:
<u>Statement </u><u> </u><u> Reason</u>
1.∠1 and ∠2 are supplementary angles --- Given
2. m∠1 + m∠2 = 180° --- Linear pair, they are supplementary
3. m∠1 and m∠3 are supplementary angles -- m∠1 + m∠3= 180
(Supplementary angles add upto 180 degrees)
4. m∠1 and m∠3 ------ Exterior sides in opposite rays
5. m∠1 + m∠2 = m∠1 + m∠3 ------ Transitive property
6. m∠2 = m∠3 -------------- Subtraction property
7. l || m ------------- If two lines are cut by transversal the alternative interior
angles are the same, then the lines are paralle.
Thank you.
<h2>
Answer:</h2>
<em><u>(a) Is it an output from the system? </u></em>
<em><u>(d) Is it a synonym of an existing thing?</u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
We have a list of nouns and we need to determine whether a particular noun should be excluded by identifying particular noun as an important 'thing'.
So, to identify it as a noun we can ask two questions which will distinguish between the same.
<u>(a) Is it an output from the system? </u>
It is one of the questions that can be asked because if the thing is an output from a system it will be definitely existing in real therefore, we can identify from this.
<u>(d) Is it a synonym of an existing thing?</u>
By asking this we can also confirm whether a particular thing is a noun or not because if the thing will be a synonym for an already existing material, it definitely will be a Noun.
<em><u>Therefore, the correct option is (a) and (d).</u></em>