Isometry means lengths are preserved, and hence shapes must remain congruent.
Any dilation, stretching, etc are therefore excluded.
The transformations on the list that are examples of isometry are therefore:
rotation
translation
reflection
Withdrew 1200
spent 1/5 on travel : 1/5(1200) = 1200/5 = 240
leaving her with : 1200 - 240 = 960
spent 2/3 on hardware : 2/3(960) = 1920/3 = 640
leaving her with : 960 - 640 = 320
320 - lunch = 300.50
320 - 300.50 = lunch
19.50 = lunch <==
Answer:
REQUIRED TEST STATICS IS 35.19
Step-by-step explanation:
total size of sample = 10,000
men women
voted 2777 3466
did not vote 1444 2313
By chi square test we can find the relationship between gender and participation in the election
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where
a represent = 2777, b = 3466, c= 1444, d = 2313, N = 10000
Putting values to get chis square statics
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HENCE REQUIRED TEST STATICS IS 35.19
The absolute value of -3 is 3 and -3 so both would be right
Answer:
0.818335 ≤ p ≤ 0.86366
Step-by-step explanation:
Given that:
Sample size (n) = 1000
Positive lung cancer = 841
n(p) = 841, p(p) = 841/1000 = 0.841
n(1 - p) = 1000 - 841 = 159
1 - p = 0.159
95% confidence interval
For a 95% confidence interval : z = 1.96
P ± z√p(1-p) / n
0.841 ± 1.96 * √0.841(0.159) / 1000
0.841 - (1.96 * 0.0115636) = 0.818335344
0.841 + (1.96 * 0.0115636) = 0.863664656
0.818335 ≤ p ≤ 0.86366