Answer:
0.36878
Step-by-step explanation:
Given that:
Mean number of miles (m) = 2135 miles
Variance = 145924
Sample size (n) = 40
Standard deviation (s) = √variance = √145924 = 382
probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles
P( 2135 - 29 < z < 2135 + 29)
Z = (x - m) / s /√n
Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]
Z = (- 29 / 60.399503) < z < (29 / 60.399503)
Z = - 0.4801364 < z < 0.4801364
P(Z < - 0.48) = 0.31561
P(Z < - 0.48) = 0.68439
P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878
= 0.36878
Answer:
<h2>Yes they are congruent by SSS criterion </h2>
Step-by-step explanation:
AC=DC. (Given in figure)
AB=BD. (Given in figure
BC=BC. (Common)
that means triangle BAC is congruent to triangle BDC by SSS criterion.
The rephrased statement for Kun's proof is: A. In quadrilateral ABCD, if AB ≅ DC & AD ≅ BC, then AB║DC & AD║BC.
<h3>What is a Parallelogram?</h3>
A parallelogram is a quadrilateral that has two opposite sides that are congruent to each other and are also parallel to each other.
This means that if two pairs of opposite sides of a quadrilateral are congruent and parallel, then it is a parallelogram.
Rephrasing Kun's statement in his proof will therefore be: A. In quadrilateral ABCD, if AB ≅ DC & AD ≅ BC, then AB║DC & AD║BC.
Learn more about a parallelogram on:
brainly.com/question/12167853
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2 tens, 4 ones, 3 tenths, 5 hundredths, 7 thousandths
