Answer:
m∠S = 54.1°
Step-by-step explanation:
Use the law of cosines
37.21 = 10.24 + 54.76 - 47.36 cos S
-27.79 = -47.36 cos S
.586782 = cos S
arccos .586782 = S
m∠S = 54.1°
Please help it’s for a grade I’ll give you Brinley if right
1 answer:
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Answer:
0% probability of getting a mean temperature of 98.2 degrees F or lower.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the probability of getting a mean temperature of 98.2 degrees F or lower.
This is the pvalue of Z when X = 98.2. So
has a pvalue of 0.
So there is a 0% probability of getting a mean temperature of 98.2 degrees F or lower.
Answer: 16590
Step-by-step explanation:
The formula we use to find the sample size is given by :-
, where p = prior estimate of population proportion.
= Critical z-value (Two- tailed)
E= Margin of error .
Let p be the population proportion of cyanobacteria.
Given : E = 0.01
Critical value for 99% confidence interval :
If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.
Now, the required sample size =
Required sample size = 16590