
The given Angles (4x + 2) and (3x + 3) are forming linear pair, so
now, let's find Angle DCB :
The volume of a cone is pi times the radius squared times the height divided by three.
The volume of a cylinder is pi times the radius squared times the height.
The volume of a sphere is 4 divided by 3 times pi times the radius cubed.
Does this help?
Using the <em>normal distribution and the central limit theorem</em>, we have that:
a) A normal model with mean 0.3 and standard deviation of 0.0458 should be used.
b) There is a 0.2327 = 23.27% probability that more than one third of this sample wear contacts.
<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, for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportion is approximately normal with mean
and standard deviation
, as long as
and
.
In this problem:
- 30% of students at a university wear contact lenses, hence p = 0.3.
- We randomly pick 100 students, hence n = 100.
Item a:


Hence a normal model is appropriated.
The mean and the standard deviation are given as follows:


Item b:
The probability is <u>1 subtracted by the p-value of Z when X = 1/3 = 0.3333</u>, hence:

By the Central Limit Theorem



has a p-value of 0.7673.
1 - 0.7673 = 0.2327.
0.2327 = 23.27% probability that more than one third of this sample wear contacts.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can take a look at brainly.com/question/24663213
Answer:
1. 6
2. 2
Step-by-step explanation:
1. 9-t=3(t-5)
9-t=3t-15
+t +t
9=4t-15
+15 +15
<u>24</u>=<u>4t</u>
4 4
6=t
2.5(5y+1)=10y-25
25y+5=10y-25
+25 +25
25y+30=10y
-25 -25
<u>30</u>=<u>-15y</u>
15 15
2=y
D : because this make so much since duh . && watch yuu get it right !