(I may give brainliest) The roof of a lean-to-garden shed has a gradient of 0.35.find the height?
2 answers:
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Answer:
1) 5
2) 0.2
Step-by-step explanation:
The complete question is attached below.
The x-axis represents the time in hours and y-axis represents the distance in kilometers.
The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.
The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:
Kendrick walks 5 kilometers in 1 hour.
In next part, we have to find how much time Kendrick takes to walk 1 kilometer.
Since, we know that:
Kendrick walks 5 kilometers in time = 1 hour
Dividing both sides by 5, we can write:
Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour
So, Kendrick takes 0.2 hours to walk 1 kilometer.
Answer:
35.2% probability that the sample mean will be 246 pages or more
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 distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
What the probability that the sample mean will be 246 pages or more?
This is 1 subtracted by the pvalue of Z when X = 246. So
By the Central Limit Theorem
has a pvalue of 0.6480.
1 - 0.6480 = 0.3520
35.2% probability that the sample mean will be 246 pages or more