Assuming a normal distribution, families spends an average of $500 on their monthly cell phone bills with a standard deviation o
1 answer:
There is a 0.02275 to 0.0968 chance that a random family's bill will be between $350 and $400.
<h3>Calculating the probability</h3>Provided that,
Mean of the population = 500
The standard deviation(S.D) of the population = 75
Assume,the variable in normal distribution = X
Z= (x- mean)/ S.D
Provided , x = $350 - $400
Z= 350-500/75 = -2(when x=$350)
Z= 400-500/75 = -1.3 (taken x= $400)
The probability that a household will spend between $350 and $400 monthly
P(350>X<400) = P( -2>Z<-1.3)
= 0.02275 to 0.0968 (from probability table)
Therefore, the final answer is 0.02275 to 0.0968.
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Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
...........(1)
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...........(3)
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Now we adding equation 2 and 4, we get the value of x.
Now we are putting the value of x in 4, we get the value of y.
Therefore, the value of x and y is 8 and 10 respectively.
