Answer: b. Yes
Step-by-step explanation: Confidence Interval for a population proportion is calculated as:
p ±
where
p is the sample proportion
n is sample size
z is z-score, in this case, as it is 95%, z-score=1.96
Calculating confidence interval:
p = 0.3248
0.3248 ±
0.3248 ±
0.3248 ± 0.0425
Interval: 0.2823 < μ < 0.3673
The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.
Answer:
(-14,-4)
Step-by-step explanation:
Given the pre-image A=(-7,-2)
If A is dilated with a scale factor of 2
Then the image of A,
A' = (-7,-2) X 2
We multiply each coordinate point by 2
=(-7*2,-2*2)=(-14,-4)
Therefore, the point A' would be: (-14,-4)
A disjunction is false if both parts of the disjunction are false; otherwise, it is true
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Choice A
4-3=2 is false
6*3=9 is false
both parts are false, so overall the entire disjunction is false
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Choice B
5*6=30 is true
3+4=7 is true
Neither part is false, so overall the entire thing is true
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Choice C
8+3=11 is true
5*4=23 is false
While second piece is false, the overall disjunction is true. The first part (true) makes the whole thing true.
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Choice D
7+6=13 is true
5*2=10 is true
Neither part is false, so overall the entire thing is true
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In summary, we have
A. False
B. True
C. True
D. True
Making choice A the only answer that is false. So choice A is the final answer
Answer:
x = 13.5
BC = 30
Step-by-step explanation:
BC is double the length of DE. And we know that DE is equal to 15. So 15 x 2 is 30.
Now to find x. We know that our answer has to add up to 30. So we first subtract 3 from 30 to get 27. Then divide 27 by 2 to get what x is equal to. x = 13.5