3 years ago

If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n=__?

Mathematics

2 answers:

vovangra [49]3 years ago

6 0

If the triangle and the pre image are congruent then they should equal have the same dilation

Olin [163]3 years ago

4 0

If the image is congruent to the pre-image, then the scale factor must be 1.

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The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.35 inches and a standard deviatio

Fiesta28 [93]

Answer:

15.87%

Step-by-step explanation:

Notice that the mean of 0.35 inches with a standard deviation of 0.01 gives you when you add (to the right of the distribution), exactly 0.36. Since you want to find the probability (or percentage) of the bolts that have diameter LARGER than 0.36 in, that means you want to estimate the area under the Normal distribution curve from 0.36 to the right). See attached image.

We can use the tables of Z distribution for that, or the standard normal tables:

P(x>0.36) = P(z>(0.36-0.35)/0.01) = P(Z>1) = 0.1587 = 15.87%