Answer:
Eric's father work 5 hours each afternoon
Step-by-step explanation:
Let x be the no. of hours Eric's father work each afternoon
He works for hours in morning each day = 3
He works for total hours in morning in 5 days=
He works for total hours in afternoon in 5 days=5x
We are given that he works a total of 40 hours each 5-day workweek.
ATQ
15+5x=40
5x=25
x=5
Hence Eric's father work 5 hours each afternoon
Answer:
Step-by-step explanation:
Given the expression
<u>Expand and simplify the expression</u>
Expand 4(2x + 7) = 8x + 28
Expand -3(x + 5) = -3x - 15
Group like terms
Add similar elements: 8x - 3x = 5x
Simplify
Therefore, we conclude that:
Answer:
36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.
Step-by-step explanation:
I am going to use the normal approximation to the binomial to solve this question.
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
Estimate the probability that at least 47 people experience flu symptoms.
Using continuity correction, this is , which is 1 subtracted by the pvalue of Z when X = 46.5.
has a 0.6368
1 - 0.6368 = 0.3632
36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.