Answer:
10
Step-by-step explanation:
The ratio of abc/def=1.5
15/1.5=10
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Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean
and standard error 
In this problem:
- 1,190 adults were asked, hence

- In fact 62% of all adults favor balancing the budget over cutting taxes, hence
.
The mean and the standard error are given by:


The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:

By the Central Limit Theorem



has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213
Answer:
Conversely, given a pair of parametric equations with parameter t, the set of points (f(t), g(t)) form a curve in the plane.
As an example, the graph of any function can be parameterized. For, if y = f(x) then let t = x so that
x = t, y = f(t).
is a pair of parametric equations with parameter t whose graph is identical to that of the function. The domain of the parametric equations is the same as the domain of f.
Example The parametric equations
x = t, y = t2
The area of a triangle is 1/2 b/h. So what you do is you find base and height, multiply them together and whatever answer you got, you divide by 2.
Example:
A= 1/2 (b x h)
A= 1/2 (4 x 6)
A= 1/2 (24)
A= 12
Hope this helps!
The top-left graph goes with the bottom-right equation, y=90(1/4)^x
The bottom-left graph goes with the top-right equation, y = 120(3/4)^x
The top-right graph goes with the bottom-left equation, y = 120(1/4)^x
The bottom-right graph goes with the top-left equation, y = 90(3/4)^x
y=90(1/4)^x has a larger percent decrease than y = 90(3/4)^x
cause if you multiply a number by 1/4, that's smaller than multiplying number by 3/4. so y=90(1/4)^x decreases really fast
same with the y = 120(3/4)^x ones