A recent survey 55% of pet owners have more than one pet. if they were 620 pet owner surveyed which proportion can be used to fi
1 answer:
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Answer:
91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are 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.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches
This is the pvalue of Z when X = 106.8. So
By the Central Limit Theorem
has a pvalue of 0.9192
0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches
Answer:
Pretty sure it's 20.24.
Step-by-step explanation:
Since you know the side adjacent to the reference angle and you want to find the side opposite, you're going to need to use tangent, which is opp/adj.
tan(39) =
Find the tangent of 39...
0.8097 is the approximate value. So...
0.8097 =
Now, switch the sides to make it easier.
= 0.8097
Multiply both sides by 25.
x = 20.24
Answer:
<u>After (3/2) months Tyler's gym would be a better deal.</u>
Step-by-step explanation:
Let x the number of months
Cody's Gym charges a $15 fee to join and $30 per month
y₁= 15 + 30x (1)
Tyler's Gym charges a $30 fee to join and $20 per month
y₂ = 15 + 30x (2)
See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)
The point of intersection between y₁ and y₂ is ( 3/2 , 60)
After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges
So, the inequality will be:
<u>After (3/2) months Tyler's gym would be a better deal.</u>
