I think it’s the second choice
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
![z = \frac{data Point - Mean}{Standard Deviation}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7Bdata%20Point%20-%20Mean%7D%7BStandard%20Deviation%7D)
This also implies
![z = \frac{178 - 184.7}{3.3}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B178%20-%20184.7%7D%7B3.3%7D)
![Z= -2.03](https://tex.z-dn.net/?f=Z%3D%20-2.03)
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
#learnwithbrainly
Answer:
(x, y) = (-4, 15)
Step-by-step explanation:
The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.
(3x +y) -(2x +y) = (3) -(7)
x = -4 . . . . . . . . simplify
Now, we can find y by substituting this value for x.
2(-4) +y = 7
y = 7 +8 = 15 . . . . . add 8 to both sides of the equation
The solution is (x, y) = (-4, 15).
The greatest common factor of 20 and 30 is 10. This is because 10 is the largest number that when it is used to divide 20 or 30, it equals a whole number.
The simple way for us to solve is to write down the factors of both numbers, find the factors that match for both numbers, and see which is the largest out of those that match.
20: <u>1</u>,<u>2</u>,4,<u>5</u>,<u>10</u>,20
30: <u>1</u>,<u>2</u>,3,<u>5</u>,6,<u>10</u>,15,30
Using that logic, we can see that 10 is the greatest factor that the numbers share.
Answer:
(-2+-5) equals -7.
Because the signs are the same, we dont change it.
(3+5) equals 8. Same like the other equation, the signs are the same so we do not change it.
Now we do (-7+8) The answer will be 1. Lets use a little graph since its hard to explain.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Mark -7 anyway you want. (Circle it, draw a line under it, what ever you want.)
Now Move the line 8 times.
When you do that your line will stop at 1.
And thats how you do it.
Step-by-step explanation: