The distribution is not a standard normal distribution.
We know that the variable (X) usually obeys and follows a standard normal distribution provided that the summation of (X) is zero and the variance of the random variable V(X) = 1.
Mathematically:
E(X) = 0 and V(X) = 1
Given that;
- the mean which follows a normal distribution (X) = 4.5338 g, and
- the standard deviation SD(X) = 0.1039 g
As such, the distribution is not a standard normal distribution.
Therefore, we can conclude that the distribution is not a standard normal distribution.
Learn more about standard normal distribution here:
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Answer:
x = 0, y = 0
Step-by-step explanation:
y = (x-6)²-3
1) Let's write a transformation described as it is, algebraically speaking.
• opening upward, (a >0)
,
• shifted 6 units right, (-6)
,
• and three units down -3
2) Starting from the parent function y=x², then we can write:
y = (x-6)²-3
Notice that the horizontal shift is within the parentheses with a swapped sign. And outside that -3 indicating the vertical shift.
Answer:
The greatest number of rectangles that can be cut from the piece of metal = 12
Explanation:
The dimension of the piece of metal = 16cm x 20cm
That is:
Length of the piece of metal = 20 cm
Width of the piece of metal = 16 cm
The dimension of the rectangle = 6cm x 4cm
Length of the rectangle = 6cm
Width of the rectangle = 4cm
The diagram below illustrates how the rectangles can be cut from the piece of metal
Considering the diagrams drawn above, and counting the rectangles formed, we can conclude that the greatest number of rectangles will be cut using the approach on the left, hence the greatest number of rectangles that can be cut is 12
U use sin
sin50 = b/10
b=10(0.76)
b=7.6
