The standard form is Ax + By = C
1)
2(y) = (1/2x - 10) 2
2y = x - 20
-x + 2y = -20
For #2 does G belong in the equation or is it a mistake, if so let me know so i can answer.
Hope this helps :)
Answer:
x² - (4 ≤ 5)
Step-by-step explanation:
(I have x representing the number that is squared, it might be a different letter on your options, but regardless it will be the same general answer. You also may not need the parentheses around the 4 ≤ 5)
Difference means subtraction so we know that the second number/group of numbers will be subtracted from the first that is listed.
Next, if you are squaring any number it's going to have the little 2 to the right of it. That's what that means.
Then, we look at that last bit. <em>"Four is less than or equal to five."</em> This means exactly how it sounds. To write this we need the symbol ≤. This symbol means less than or equal to. You would would but the 4 in front and the 5 in back to get 4 ≤ 5.
Now we just put it together. It tells us that 4 ≤ 5 is being subtracted from a number squared. So this means that a number squared needs to be first, and because difference means subtraction, we would subtract 4 ≤ 5 from that. A number squared can be represented by any letter variable, but for this example, I will use x.
This leaves you with x² - (4 ≤ 5)
I hope this helped :)
Answer:
Using the complement rule and the normal standard table or excel we have this:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we assume the distribution for X is given by:
Where and
And we select a sample of n =64. Since the distribution for X is normal then the distribution for the sample mean is given by:
And we want to find the following probability:
And we can use the z score given by this formula:
Using the complement rule and the normal standard table or excel we have this:
Answer:
Step-by-step explanation:
The p value (probability of obtaining results as extreme the z score if null is true) is usually the value derived to make a conclusion and in this case the p value is 0.03
The level of significance is the value usually compared with the p value which is 0.05
The sample promotion is 65 out of 100 = 65/100 = 0.65
The sample size is the total number of consumers which is 100
The null value is usually the default value. The null value would assume that there is no difference in the proportions who prefer each type in the population. There are two preferences: 100/2 = 50- 0.5 for each preference.
Answer:
(2,5)
Step-by-step explanation:
Keep in mind that clockwise is towards the right in this problem. We are moving the point from quadrant 2 to quadrant 1.
Draw a picture for yourself to help this make sense. Put the point, then just turn your whole paper 90 degrees to the right. This is your new point!