Explain how you could estimate 22% of 78 to check if your answer is reasonable.
1 answer:
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Answer: 1. 7
2. 100
3. 193.8
4. 0.8
5. 90.6
Step-by-step explanation:
1. Given the data 9,3,10,12,4,5,12,2
For finding the median we arrange it in ascending order
2,3,4,5,9, 10,12,12
Since the no of observations are even
∴ median =
=
=
=7
i.e. Median =7
2. Given the data
23, 95,100,23,100,100
Since the no 100 is repeated thrice i.e. the maximum no of times
∴ Mode=100
3.
Given the data
108, 305,252,113, 191
Mean=
=
=193.8
4. Money spent in the first week
= $11.52, $6.48, $5.99, $14.00, and $9.50
Total for the first week
=11.52+6.48+5.99+14.00+9.50
=$47.49
Now she spent $4 more in the second week
i.e.$47.49+4
=51.49$
Increase in mean =
=0.8
5.
Given
2 students scored 100 each
9 students scored 95 each
10 students scored 90 each
3 students scored 80 each
1 student scored 70
Total score of students =
=2265
The average score
=
=90.6
Answer:
(1)
Multiplying by 3 both sides of the equality you get that
3u is in the Span of the vectors .
(2)
That's not true, consider the following counter example.
is a linear combination of
but is NOT a linear combination of
Step-by-step explanation:
(1)
As the hint indicates, you know that
Then, if you multiply both sides of the equality by 3, you get that
And that's it. 3u is in the Span of the vectors
(2)
That's not true, consider the following counter example.
is a linear combination of
but is NOT a linear combination of