Pls help. I don’t know how to write the explanation
2 answers:
Answer: Yes, she could.
Step-by-step explanation:
To find the answer we first have to find the length of the interior diagonal.
I used Phytagoras' theorem to find the diagonal length of the base of the box. Then to calculate x (hypotenuse), the diagonal length of the box, I again used the Phytagoras' theorem using the length of the base and the height of the box.
I found out that the diagonal interior length of the box is 39.5 in.
Since the baton is 38in and the length of the box is 39.5 in, Kylie can fit the baton inside the box with 1.5 in spare length.
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Answer:
The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.
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 normally distributied random variable X, with mean and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
Find the interval containing the middle-most 48% of sample means:
50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So
74th percentile
value of X when Z has a pvalue of 0.74. So X when Z = 0.643.
By the Central Limit Theorem
26th percentile
Value of X when Z has a pvalue of 0.26. So X when Z = -0.643
The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.