Standard deviation = 3.3
The data point = 178
The mean = 184.7
<h2>Further Explanation</h2>
To calculate the Z-score of a bag containing 178 peanuts, we should use the formula to calculating a z-score.
The formula for calculating a Z-score is as follows

This also implies


therefore, the correct answer is -2.03
A z-score determine the number of standard deviation from the mean a data point is.
some important factors about z-score include:
- if it is a positive z-score, it indicates the data point is above average
- if it is a negative Z-score, it indicates the data point is below average
- if the z-score is close to 0, it then means the data point is close to average
- if the z-score is above 3 or below -3, it is considered to be unusual
Learn More about Z-score at:
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Parallel lines have the same slope. So if a line has a slope of 2, a line parallel to it also has a slope of 2.
Answer:
y = -1 and u = 3.333
Step-by-step explanation:
The given equations are :
3u + y = 9 ...(1)
3u-5y = 15 ...(2)
Subtract equation (2) from (1).
3u + y-( 3u-5y)= 9 -15
y+5y = -6
6y = -6
y = -1
Put the value of y in equation (1).
3u + (-1) = 9
3u-1 = 9
3u = 10
u = 10/3
u = 3.333
The attached figure shows the graph for the above equations.
Answer:
$11.10 per gallon.
Step-by-step explanation:
There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40
If the gallon price of oil goes up 50% then our answer is: 7.40×
=
=11.1
The price of oil in March will be $11.10 per gallon.