The experimental probability of landing on heads is the same as the theoretical probability of landing on heads.
Answer:
Yes the relationship is linear and given by:
(first option of your list)
Step-by-step explanation:
Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:
-7-(-2) = -7+2 = -5
-12-(-7) = -12 +7 = -5
-17 - (-12) = -17 + 12 = -5
We notice that all of them give "-5"
Now we evaluate the difference between consecutive x-values in a similar fashion:
-5 -(-9) = -5+9 = 4
-1-(-5) = -1+5 = 4
3-(-1) = 3+1 = 4
We see that they all give 4 as the difference.
That means that the rate of change 
This means that the slope (rate of change) of the line is "-5/4"
We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:
which is the first expression listed among your possible answer choices.
Answer:
Step-by-step explanation: The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
What is an integer exponent?
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
The question is incomplete.
The complete question is attached in the picture, please refer picture.
We have an expression:
Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
Learn more about the integer exponent here:
brainly.com/question/4533599
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Answer:
Step-by-step explanation:
The form, y = mx + b is the slope intercept form of a straight line.
Where b = intercept
m = slope = (change in the value of y in the vertical axis) / (change in the value of x in the horizontal axis.
Slope = (y2 - y1)/(x2 - x1)
y2 represents final value of y = - 3
y1 represents initial value of y = 3
x2 represents final value of x = 3
x1 represents initial value of x = 0
Therefore,
slope = (- 3 - 3)/(3 - 0) = - 6/3 = - 2
To determine the intercept, we would substitute m = - 2, x = 3 and y = -3 into y = mx + b. It becomes
- 3 = - 2 × 3 + b = - 6 + b
b = - 3 + 6 = 3
The equation becomes
y = - 3x + 3
For #2, the proportion would be .40/.25 and x/15, then you would cross multiply to find x. and for #3 the proportion would be 15/6 and 75/x and again you would cross multiply to find x. (:
