9514 1404 393
Answer:
A) 3x +10y = 36
Step-by-step explanation:
The graph tells us the x-intercept is 12. The x-intercept is the value of x when y = 0. For some equation coefficients ax+by=36, the x-intercept is ...
x-intercept = 36/a
Then the coefficient 'a' is ...
a = 36/(x-intercept) = 36/12 = 3
Only one answer choice has an x-coefficient of 3 -- the correct one.
3x +10y = 36
Answer:
n= -3 and n= -6
Step-by-step explanation:
We need to solve this equation to find the value of n.
Rearranging:
This is a quadratic equation and we can solve by using factorization method.
We need to make factors of 18n^2 such that their sum is equal to 9n.
So solving,
X=50
all four of a squares angles are 90°
90•3=270
270-20=250
250/5=50
x=50
Answer:
3 2/3
Step-by-step explanation:
Using the <em>normal probability distribution and the central limit theorem</em>, it is found that the probabilities are given by:
a) 0.0119 = 1.19%.
b) 0.121 = 12.1%.
c) 0.9257 = 92.57%.
<h3>Normal Probability Distribution</h3>
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 sample means of size n has standard deviation .
In this problem:
- The mean is of .
- The standard deviation is of .
- A sample of 144 is taken, hence .
Item a:
The probability is the <u>p-value of Z when X = 42600</u>, hence:
By the Central Limit Theorem:
has a p-value of 0.0119.
The probability is of 0.0119 = 1.19%.
Item b:
The probability is the <u>1 subtracted by the p-value of Z when X = 46240</u>, hence:
has a p-value of 0.879.
1 - 0.879 = 0.121.
The probability is of 0.121 = 12.1%.
Item c:
The probability is the <u>p-value of Z when X = 46980 subtracted by the p-value of Z when X = 43190</u>, hence:
X = 46980:
has a p-value of 0.9693.
X = 43190:
has a p-value of 0.0436.
0.9693 - 0.0436 = 0.9257.
The probability is of 0.9257 = 92.57%.
To learn more about the <em>normal probability distribution and the central limit theorem</em>, you can check brainly.com/question/24663213