Abby's school is 6 blocks west of her house. Her mother works at a store that is 4 blocks east of her school. Use a number line
to model the location of each building relative to the others, where east is represented by positive numbers and west is represented by negative numbers. What value represents the difference in position between Abby's house and her mother's store?
1 answer:
Answer:
<h2>10</h2>Step-by-step explanation:
Let us give a proper illustration in the number line
let H be Abby's house
and S be the school
let W be her mother's work.
kindly find attached a rough sketch of the number line for your reference
Question:<em> What value represents the difference in position between Abby's house and her mother's store?</em>
basically, the distance between two points on a number line is the difference between the points.
So the value that represents the position between Abby's house and her mother's store is the distance between the two points.
= 4-(-6)
=4+6
=10
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Answer:
97.72% probability that their mean body temperature is greater than 98.4degrees° F.
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
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.
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:
If 36 adults are randomly selected, find the probability that their mean body temperature is greater than 98.4degrees° F.
This is 1 subtracted by the pvalue of Z when X = 98.4. So
By the Central Limit Theorem
has a pvalue of 0.0228
1 - 0.0228 = 0.9772
97.72% probability that their mean body temperature is greater than 98.4degrees° F.