I need help pleaseee!!
2 answers:
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Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:
Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!
The image of the function f(x) after vertical shrink by a factor of 1/2
and a reflection in the y-axis, followed by a translation 1 unit down
is g(x) = x² - 1
Step-by-step explanation:
Lets revise:
1. The vertical shrink
A vertical shrinking is the squeezing of the graph toward the x-axis.
if 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically
shrunk by multiplying each of its y-coordinates by k
2. The reflection
If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
3. Vertical translation
If the function f(x) translated vertically up by m units, then its image
is g(x) = f(x) + m
If the function f(x) translated vertically down by m units, then its image
is g(x) = f(x) - m
Now let us solve the problem
∵ f(x) = x²
∵ f(x) shrunk by a factor of
∴ The image of f(x) = x²
∵ The image of f(x) reflected across y-axis
∴ The sign of x will change
∴ The new image of f(x) = (-x)²
∵ The new image of f(x) translated 1 unit down
∴ We will subtract the new image of f(x) by 1
∴ The last image of f(x) is g(x) = (-x)² - 1
<em>V.I.Note:</em>
(-x)² = x² because even exponents reject the negative sign
The image of the function f(x) after vertical shrink by a factor of 1/2
and a reflection in the y-axis, followed by a translation 1 unit down
is g(x) = x² - 1
The attached graph for more understand
Learn more:
you can learn more about transformation in brainly.com/question/2415963
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