Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
Normal Probability Distribution
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, for n instances of a normal variable, the mean is
while the standard deviation is 
.
In this problem:
- Mean of 4 candies, hence
. - Standard deviation of 1.5 candies, hence
. - She visited 35 houses, hence
The probability is the <u>p-value of Z when X = 122</u>, hence:
By the Central Limit Theorem
has a p-value of 0.
Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
A similar problem is given at brainly.com/question/24663213
<h2>
Answer:</h2>
<em><u>(B). </u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
Let the total number of geese be = 100x
Number of Male geese = 30% = 30x
Number of Female Geese = 70x
Let us say 'kx' geese migrated from these geese.
Number of migrated Male geese = 20% of kx = kx/5
Number of migrated Female geese = 4kx/5
So,
<u>Migration rate of Male geese</u> is given by,
<u>Migration rate of Female geese</u> is given by,
So,
The ratio of Migration rate of Male geese to that of Female geese is given by,
![\frac{\left[\frac{(\frac{kx}{5})}{30x}\right]}{\left[\frac{(\frac{4kx}{5})}{70x}\right]}=\frac{350}{4\times 150}=\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cfrac%7B%28%5Cfrac%7Bkx%7D%7B5%7D%29%7D%7B30x%7D%5Cright%5D%7D%7B%5Cleft%5B%5Cfrac%7B%28%5Cfrac%7B4kx%7D%7B5%7D%29%7D%7B70x%7D%5Cright%5D%7D%3D%5Cfrac%7B350%7D%7B4%5Ctimes%20150%7D%3D%5Cfrac%7B7%7D%7B12%7D)
Therefore, the<em><u> ratio of the rate of migration of Male geese to that of Female geese is,</u></em>
<em><u>Hence, the correct option is (B).</u></em>
<em><u></u></em>
Answer: 4 Cups
I think in order to solve this, you would need to add up the fractions that they used. So it would be,
Transform the Expressions
Calculate the sum
Reduce
Transform the Expression
Calculate
Reduce the Fraction
Please mark brainliest if this helped you :)
<em>Answer:</em>
<em>22,35 £</em>
<em>Step-by-step explanation:</em>
<em>How much does each ticket cost ?</em>
<em>134,10 : 6 = 22,35 £</em>
<em />
<em>134,10 : 6 = 22,35</em>
<em>12</em>
<em>___</em>
<em>= 14</em>
<em> 12</em>
<em> ___</em>
<em> =21</em>
<em> 18</em>
<em> ___</em>
<em> = 30</em>
<em> 30</em>
<em> ___</em>
<em> = = </em>
Answer:
Step-by-step explanation:
Hi!
Here is the formula for point slope form: y-y1=m(x-x1)
Our slope in this case is 5, and our points are (1, 9). 1(x1) and 9(y1)
So, if we substitute our given data into the formula, here is what we will get.
y-9=5(x-1)
Thus, our answer should be:
y-9=5(x-1)
I hope this helps!
:)
