Which equation could be used to solve for the measure of angle R?
2 answers:
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Answer:
The correct option is 4.
Step-by-step explanation:
The non parallel sides of an isosceles trapezoid are congruent.
The image of an isosceles trapezoid is same as the preimage of isosceles trapezoid if
1. Reflection across a line joining the midpoints of parallel sides.
2. Rotation by 360° about its center.
3. Rotation by 360° about origin.
If we rotate the trapezoid by 180° about its center, then the parallel sides will interchanged.
If we reflect the trapezoid across a diagonal, then the resultant figure will be a parallelogram.
If we reflect across a line joining the midpoints of the nonparallel sides, then the parallel sides will interchanged.
After rotation by 360° about the center, we always get an onto figure.
Therefore option 4 is correct.
Answer:
a-1) Reject H0 if zcalc > 1.645
a-2)
a-3) ii. False
b) ii. No
c) iii. n π > 10 and n(1 − π ) > 10
Step-by-step explanation:
1) Data given and notation
n=114 represent the random sample taken
X=36 represent the people that were issued to a single-earner family or individual
estimated proportion of people that were issued to a single-earner family or individual
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
(a-1) H0: π ≤ .28 versus H1: π > .28. Choose the right option. Reject H0 if zcalc > 1.645 Reject H0 if zcalc < 1.645 a b
We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.28.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
The rejection zone would be on this case :
Reject H0 if zcalc > 1.645
Since is a right tailed test
(a-2) Calculate the test statistic. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) Test statistic
Since we have all the info requires we can replace in formula (1) like this:
(a-3) The null hypothesis should be rejected.
False, since our calculated value is less than our critical value we Fails to reject the null hypothesis
(b) Is this a close decision?
False the calculated value is significantly less than the critical value so we FAIL to reject the null hypothesis with enough confidence.
(c) State any assumptions that are required.
In order to satisfy the conditions we need the following two requirements:
iii. n π > 10 and n(1 − π ) > 10
And are satisfied:
114*0.28=31.92>10
114(1-0.28)=82,08>10