Yes, there is causation between the two given variables, as the weight is related at some point with the amount of calories consumed.
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What does correlation and causation mean?</h3>
For two variables x and y, we say that there is causation when, if we modify one of the variables, the other changes in response.
Correlation just means that the variables are related in some way (maybe both have a causation relationship with the same other variable)
So causation implies correlation.
Correlation does not imply causation.
In this case, we have the example:
x = The number of additional calories consumed
y = amount of weight gained.
Clearly, we have causation between x and y as larger is the value of x, larger will be the value of x.-
Learn more about correlation.
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Answer:
- vertical shrink by a factor of 1/3
- shift right 2 units
- shift down 4 units
Step-by-step explanation:
The transformations of interest here are ...
g(x) = k·f(x) . . . . . vertically scale f(x) by a factor of k
g(x) = f(x -h) . . . . shift f(x) right by h units
g(x) = f(x) +k . . . . shift f(x) up by k units
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Working left to right, the first factor we encounter is 1/3, multiplying the value that is cubed. This means the vertical scale factor of f(x) = x^3 is 1/3. A scale factor less than 1 represents a shrink, so ...
transformation #1 = shrink by a factor of 1/3
The next number we encounter is -2 in the factor (x -2)^3. This means h=2 in f(x -h) = (x -2)^3. The horizontal shift right is 2 units:
transformation #2 = right shift 2 units
Finally, we encounter the number -4. This means k=-4 in g(x)=f(x)+k. The up-shift is negative, so ...
transformation #3 = shift down 4 units
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The right- and down-shifts can be done in either order. Here, we have done them as we see them when scanning the equation left-to-right. The vertical scaling must be done before the down-shift, so that it does not affect the amount of down-shift.
A.You have to multiply the Original price(96) by todays discount(1/2)
96×(1/2)=48
Then to find the price 5 days from now you multiply the Original price(96) by the discount 5 days from now(2/3) but this time you subtract what you get from the original price 96×(2/3)=64
96-64=32 or the price of the coat 5 days from now
B. To find how much she would save subtract todays price(48) by the price 5 days from now(32)
48-32=16 She would save 16 dollars
Since this is a right triangle, the Pythagorean Theorem can be used to find the missing side length. The Pythagorean Theorem is a² + b² = c², where c is the hypotenuse of the triangle.
The error is that the numbers were plugged into the theorem incorrectly - the hypotenuse is the side opposite the right angle (in this case, it is 8 ft). That means the c in a² + b² = c² should be substituted with 8, like so:
a² + b² = c²
6² + b² = 8²
Now that the numbers are substituted correctly, you may solve for the third side.
6² + b² = 8²
36 + b² = 64
b² = 28
b ≈ 5.29
Answer:
The third side length is approximately 5.3 feet.
Answer:
Step-by-step explanation:
1/48 + 5/6
The LCD of 48 and 6 is 48 so we have:
1/48 + 40/48
= 41/38
