△XYZ maps to △MNO with the transformation (x, y) ---> (5x, 5y).
1 answer:
Answer:
The length of MN is 30.
Step-by-step explanation:
It is given that △XYZ maps to △MNO with the transformation
This rule of transformation represents the dilation with scale factor 5 because the dilation about the origin is defined as
where, k is scale factor.
In dilation, the image and preimage are similar and scale factor is the ratio of corresponding side of image and preimage.
In △XYZ and △MNO,
Multiply both sides by 6.
Therefore the length of MN is 30.
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Jason's scores : 80 90 95 85 70 and
Jill's score : 70 75 90 100 95.
Mean of Jason's scores =
Mean of Jill's scores =
Now, in order to find the mean absolute deviation, need to find the difference of each score from means.
<u>Mean absolute deviation for Jason's scores.</u>
|84-80| = 4
|84-90| = 6
|84-95| = 9
|84-85| = 1
|84-70|= 14
<u>Mean absolute deviation for Jill's scores</u>
|86-70| = 16
|86-75| = 11
|86-90| = 4
|86-100| = 14
|86-95|= 9
Jill got average quiz score 86 and Jason got 84.
Therefore, Jill got better quiz average.
Also, the mean absolute deviation for Jason scores is less that is 6.8 than 10.8.
Therefore, Jason got more consistent grades.
Answer:
Probability of sum of pips on two faces is at least 9 =
Step-by-step explanation:
Experiment: Throwing two fair dice.
Total no of Outcome = = 36
Sample space (list of outcome) is attached.
Let E be the event that sum of pips on two faces is at least 9.
Favorable outcome are where sum is 9 , 10 , 11 and 12.
From Sample space, No. of Favorable outcome = 10
∴
