Answer:
-3.3...
Step-by-step explanation:
3.2p-2.5+2.1p=5p-7/2
3.2p+2.1p-5p=-7/2+2.5
5.3p-5p=-7/2+2.5
0.3p=-1
p=-1/0.3
p=-3.3
Answer:
D. 45 degree counterclockwise rotation
Step-by-step explanation: :
The original image is triangle TUV and it has been rotated counter clockwise to form triangle T'U'V' using the origin as the center of rotation. . The rotation is 45 degrees rotation.
Hence, option B is correct.
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Answer: 0.951%
Explanation:Note that in the problem, the scenario is either the adult is using or not using smartphones. So, we have a yes or no scenario involved with the random variable, which is the number of adults using smartphones. Thus, the number of adults using smartphones follows the binomial distribution.
Let x be the number of adults using smartphones and n be the number of randomly selected adults. In Binomial distribution, the probability that there are k adults using smartphones is given by
Where p = probability that an adult is using smartphones = 54% (since 54% of adults are using smartphones).
Since n = 12 and k = 3, the probability that fewer than 3 are using smartphones is given by
Therefore, the probability that there are fewer than 3 adults are using smartphone is 0.00951 or
0.951%.
A triangles has side lengths of 7, 10 and 11 what is the perimeter of the triangle formed by joining the midpoints of these sides?