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:
brainly.com/question/12876715
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Answer:
8-x meters
Step-by-step explanation:
Both 64 and x^2 are perfect squares, since 64=(8)^2 and x^2=(x)^2.
Additionally, 16x is twice the product of the roots of 64 and x^2, since 16x=2(8)(x).
So we can use h the square of a difference pattern to factor:
a^2-2(a)(b)+b^2=(a-b)^2
In this case, a=8 and b=x:
(8)^2-2(8)(x)+(x)^2=(8-x)^2
In conclusion...
64-16x+x^2=(8-x)^2
So the side length of the square is 8-x meters.
47/100 works becuase it also equals 47% of 100%
Answer:
Given:
Cost of doughnut at one shop = £1.40
Unknown:
Difference in the cost of doughnuts at the two shops = ?
To find the difference in the cost of doughnuts at the two shops, we must know the cost of doughnut at the second shop;
Given that the cost of doughnut at the other shop is 20% more;
= 1.20 x £1.4
= £1.68
The difference in the cost of doughnuts = £1.68 - £1.40 = £0.28
So the answer is £0.28