Multiplying a function by a number that when squared is less than one, compresses the graph vertically by a factor equal to the coefficient.
In this case (2/3)^2=4/9 and 4/9<1 so the graph of G(x) is the graph of F(x) compressed vertically.
I believe the answer is 0.2105 and the error you made of saying 0.4209 was because you did a 2-PropZTest when this question seems to be asking for one proportion (not two). When the p value is greater than or less, use one-proportion, if it is "!=" not equal than it is two-proportion. Please let me know if this was correct.
Answer:
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
N(489,6)
This means that
What is the probability that the box will contain less than the advertised weight of 466 g?
This is the p-value of Z when X = 466. So
has a p-value of 0.000064
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
Answer:
2nd Option: x + y = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I/Geometry</u>
- Plug 'n' Chug
- Graphing and Eyeballing
Step-by-step explanation:
Since Point A is included in the altitude, we must have an equation that has to make Point A a solution set in the equation.
Pluging in and chugging Point A into each equation should tell us what the equation should be.
<u>Option 1</u>
x - y = 1
-3 - 2 = 1
-5 ≠ 1
We see here that -5 does not equal to 1. Therefore option 1 is incorrect.
<u>Option 2</u>
x + y = -1
-3 + 2 = -1
-1 = -1
We see here that -1 does equal to -1. Therefore option 2 is correct.
<u>Option 3</u>
x + y = 1
-3 + 2 = 1
-1 ≠ 1
We see here that -1 does not equal to 1. Therefore option 3 is incorrect.
<u>Option 4</u>
x - y = -1
-3 - 2 = -1
-5 ≠ -1
We see here that -5 does not equal to 1. Therefore option 4 is incorrect.
We can also graph the points and eyeball it. Doing so, we should see that our y-intercept is around -1 and our slope is also negative. Option 2 would be the best fit.