The value of the z score is 1.03.
According to the statement
we have given that the value of mean and standard deviation and we have to find the value of the z score.
So, For this purpose we know that the
Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
And the given values are:
mean value = 69 inches
s.d value = 2.8 inches
And the value of x is 71.9 inches.
So, The Z score is
z = x - mean / standard deviation
substitute the values in it then
z = 71.9 - 69 / 2.8
then
z = 2.9 /2.8
z = 1.03
So, The value of the z score is 1.03.
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The value of the x and y are -1/4 and -1/2 if the system of equations are 2x + 3y = -2 and 2x + y = -1.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The two linear equations:
2x+3y+2=0
2x+y=-1
Solving by elimination method.
2x + 3y = -2
2x + y = -1
Subtract the equation first to second:
2y = -1
y = -1/2
Plug the above value in the equation second:
2x - 1/2 = -1
2x = -1 + 1/2
2x = -1/2
x = -1/4
Thus, the value of the x and y are -1/4 and -1/2 if the system of equations are 2x + 3y = -2 and 2x + y = -1.
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Answer:
Step-by-step explanation:
1. Rotate 90° counterclockwise about the origin and then translate 5 units left.
2. Reflect across the y-axis and then rotate clockwise 180° about the origin.
- Incorrect, this ends up in the first quadrant, additional translation is required
3. Rotate 180° about the origin.
- Incorrect, additional translation is required followed by rotation.
4. Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up.
Answer:
Yes
Step-by-step explanation: