Using z-scores, it is found that the value of z is z = 1.96.
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Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean 
and standard deviation 
, is given by:
- It measures how many standard deviations the measure is from the mean.
- Each z-score has an associated p-value, which is the percentile.
- The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
- The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
- The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
- Thus, the value of Z is 1.96.
A similar problem is given at brainly.com/question/16965597
Answer:
B. 24d + 4; $76
Step-by-step explanation:
Part 1: If the online store charges $24 per DVD, this is the same as saying "24 multiplied by the number of DVDs bought".
It's given that "d" represents the number of DVDs
- So the first part of the variable expression is: 24d
If the online store also charges an additional $4 per <em>order,</em> that means that it's only $4 extra for the whole order. NOT per DVD you buy.
Part 2: If someone were to buy 3 DVDs, that would mean that d = 3.
To find the total cost, substitute 3 for d into the expression.
- 24d + 4
- 24(3) + 4
- 72 + 4 = 76
- Result: $76
Answer:
And solving we have:
And we can write the expression like this:
The vertex for this case would be:
And the minimum for the function would be 3 and there is no maximum value for the function
Step-by-step explanation:
For this case we have the following equation given:
We can complete the square like this:
And solving we have:
And we can write the expression like this:
The vertex for this case would be:
And the minimum for the function would be 3 and there is no maximum value for the function
Answer:
y = -5x-9
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
10x + 2y = -18
Subtract 10x from each side
10x + 2y-10x =-10x -18
2y = -10x-18
Divide each side by 2
2y/2 = -10x/2 -18/2
y = -5x-9
Answer:
well to start off its highest form is 84/100
Step-by-step explanation:
21/25 is the result of me trying to divide both top and bottom by numbers 1-10
