<h3>The value of y is 4</h3>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>

We have to find value of y
From eqn 1,

From eqn 2,

Subtract eqn 3 from eqn 4
2x + 3y = 24
2x + y = 16
( - ) -----------------
2y = 8
y = 4
Thus value of y is 4
Answer:
The expected number of the people at the reception whose favorite snack will be chips is 1152
Step-by-step explanation:
Given
The data in the above table and
Reception = 3600
Required
Predict the number of the people at the reception whose favorite snack will be chips.
The first step is to determine the total number of samples;



The next step is to determine the fraction of people whose favorite is chips


The product of the above fraction and the expected number of people in the reception is the solution to this question;




<em>Hence, the expected number of the people at the reception whose favorite snack will be chips is 1152</em>
1st birthday-100
2nd birthday-200
3rd birthday- 300
4th birthday- 400
5th birthday- 500
6th birthday- 600
7th birthday- 700
8th birthday- 800
9th birthday- 900
10th birthday- 1,000
Using the normal distribution, it is found that 0.0329 = 3.29% of the population are considered to be potential leaders.
In a <em>normal distribution</em> 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.
In this problem:
- The mean is of 550, hence
.
- The standard deviation is of 125, hence
.
The proportion of the population considered to be potential leaders is <u>1 subtracted by the p-value of Z when X = 780</u>, hence:



has a p-value of 0.9671.
1 - 0.9671 = 0.0329
0.0329 = 3.29% of the population are considered to be potential leaders.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213