Answer:
The mean of sampling distribution of the proportion of the students who prefer later start times for school
μₓ = p = 0.63
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given sample size 'n' =200
given data Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school
sample proportion

The mean of sampling distribution of the proportion of the students who prefer later start times for school
μₓ = p = 0.63
Standard deviation of the proportion

Answer:
1 13/32
Step-by-step explanation:
The function that gives the shares received by a post whereby each friend
shares the post a constant multiple of times each day is exponential.
<h3>Responses;</h3>
- Ben's social media post: <u>2 × 3ⁿ</u>
- Carter's social media post: <u>10 × 2ⁿ</u>
<h3>Methods by which the above expressions are obtained:</h3><h3 /><h3>Ben's social media posts;</h3><h3 /><h3>Given:</h3>
The given table of values for Ben's social media post is presented as follows;
![\begin{tabular}{|c|c|}Day&Number of shares\\0&2\\1&6\\2&18\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7C%7DDay%26Number%20of%20shares%5C%5C0%262%5C%5C1%266%5C%5C2%2618%5Cend%7Barray%7D%5Cright%5D)
<h3>Solution:</h3>
The number of shares triples everyday, therefore, the number of shares form a geometric progression, with a common ratio of r = 3, and a first term of <em>a</em> = 2
The function for the number of shares of Ben's post is, tₙ = a·rⁿ
Which gives;
- Ben's social media post shares on day <u><em>tₙ</em></u><u> = 2·3ⁿ</u>
<h3>Carter's social media posts;</h3><h3 /><h3>Given;</h3>
Number of friends Carter shared his post with = 10 friends
Number of people each of the 10 friends shared with each day = 2 people
<h3>Solution;</h3>
The exponential function for number of shares received by Carter is therefore, <u>tₙ = </u><u>10×2ⁿ</u>
- Carter's social media post shares on day <em>n</em>: <u>10 × 2ⁿ</u>
Learn more about exponential functions here:
brainly.com/question/1530446
Answer:

Step-by-step explanation:
⅓×2
When multiplied by 2 will be;

So you 2×1=2
3×1 is equal to 3
So the final answer will be;

Answer:
1. x=10
2.x=8
3.x=10
4.x=5
Step-by-step explanation:
Plug in the x values below into the questions and what ever works is the answer so make the left side equal the right side