Answer:
a)
Step-by-step explanation:
The standard deviation is a measure that tells us how far measures tend to be from the mean. A low standard deviation gives us values closer to the mean than a high standard deviation. Usually 68% of the data falls within one standard deviation of the set.
Thus, the most accurate answer would be a) Around 70% of the scores will be located within one standard deviation of the mean
Answer:
22
Step-by-step explanation:
The abs of y is 29 because 29 is positive
51 - 29 = 22
Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is:
In which:
is the sample mean.
is the standard deviation for the population.
Assuming an uniform distribution, the standard deviation is given by:
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
The sample size is found solving for n when the margin of error is of M = 0.006, hence:
n = 142,282.
A sample of 142,282 should be taken, which is not practical as it is too large of a sample.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
-0.95
Step-by-step explanation:
Divide the percent by 100 and since you are decreasing it would be a negative.
Log₄20-log₄ 45+log₄144=
log₄(20/45)+log₄144= (log_a b- log_a c=log_a (b/c) )
log₄[(20*144)/45]= (log_a b +log_a c=log_a (b*c) )
log₄(2880/45)=
log₄(64)=n ⇔ 4^n=64 (log_a x=n ⇔ a^n=x)
4^n=4³ ⇒n=3 (64=4*4*4=4³)
Answer: log₄20-log₄ 45+log₄144=3
