Which one I can help with anyone
Answer: Step 4
<u>Step-by-step explanation:</u>
1. Define variable x as student signatures still needed (Correct)
(Correct)
3. 25% = 0.25 (Correct)
(Error)!
The inequality symbol should be GREATER THAN or equal to (≥) because Jose needs 25% or more (not less).
Articles of clothing that the store received last Thursday is 84
<u>Solution:</u>
Given that
A clothing donation store received numerous articles of clothing on Thursday of last week.
The number of articles of clothing that the store received last Thursday is represented by the following expression:
4 (3x − 1) − 2 (6 + 2x)
Need to calculate articles of clothing that the store received last Thursday when x = 12.5
As on Thursday x = 12.5, need to substitute x = 12.5 in above equation to get number of articles received on Thursday.
On substituting x = 12.5, we get
4 ( (3 x 12.5 ) – 1 ) – 2 ( 6 + ( 2 x 12.5 ) )
=> 4 (37.5 – 1) – 2 (6 + 25)
=> 146 – 62 = 84
On substituting x = 12.5 , we are getting value of expression as 84.
Hence articles of clothing that the store received last Thursday is 84
Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are, respectively, given by 
.
The desired value is the 82nd percentile, which is X when Z = 0.915, hence:
X - 9.4 = 0.915(2)
X = 11.23
The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.
More can be learned about the normal distribution at brainly.com/question/24663213
Answer:
A.)
Lower Value = 295
Upper Value = 485
B.)
Lower Value = 200
Upper Value = 580
C.)
Lower Value = 105
Upper Value = 675
Step-by-step explanation:
Given that mean (M) = 390
Standard deviation (σ) = 95
Lower Value = mean value - number of standard deviations specified
Upper Value = mean value + number of standard deviations specified
a. Μ ± 1σ of the observations lie between what two values?
Lower Value = 390 - 1(95) = 295
Upper Value = 390 + 1(95) = 485
b. Μ ± 2σ of the observations lie between what two values?
Lower Value = 390 - 2(95) = 200
Upper Value = 390 + 2(95) = 580
c. Μ ± 3σ of the observations lie between what two values?
Lower Value = 390 - 3(95) = 105
Upper Value = 390 + 3(95) = 675
