James Ran 1/4 of a mile in the morning and then ran 2/8 of a mile that evening what was the distance James ran
1 answer:
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The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3
<h3>What is an inequality?</h3>
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Given the inequality:
|4x − 2| > 14
Hence:
4x - 2 > 14 or -(4x - 2) > 14
x > 4 or x < -3
The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3
Find out more on inequality at: brainly.com/question/24372553
First define the variables:
c = amount of children
a = amount of adults
Next create the equations to satisfy the conditions:
1) Total group is 12 people:
2) Total cost is $100 with adults costing $10 and children being $6:
Answer:
0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
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.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
. So
Consider the probability that greater than 94 out of 153 people will not get the flu this winter
This probability is 1 subtracted by the pvalue of Z when X = 94. So
has a pvalue of 0.1788
1 - 0.1788 = 0.8212
0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.