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Step-by-step explanation:
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Answer:
A. Both rotational and reflectional.
Step-by-step explanation:
We have been given an image of a regular polygon. We are asked to determine type(s) of symmetry for our given polygon.
Upon looking at our given polygon, we can see that it is a pentagon.
We know that a regular pentagon has five equal sides and five lines of symmetry.
We can see that each line of symmetry divides pentagon into two mirror images, therefore, our given pentagon has reflectional symmetry.
We know that the regular polygon has a rotational symmetry. We can find rotational symmetry of a regular polygon by multiplying 360 degrees by number of sides.
Therefore, a regular pentagon has rotational symmetry.
Answer:
Step-by-step explanation:
given that we are interested in finding out the proportion of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.
Sample size = 765
Favour = 322
a) The population is the adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt
b) The parameter being estimated is the population proportion P of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.
c) point estimate for proportion = sample proporiton =
d) We can use test statistic here as for proportions we have population std deviation known.
d) Std error = 0.01785(
Test statistic Z = p difference / std error
f) when estimated p is 0.50 we get Z = -4.43
g) Is true population value was 40% then
Z = 1.17 (because proportion difference changes here)