Answer:
see explanation
Step-by-step explanation:
Note that the difference between consecutive terms is - 8
To obtain the next term in the sequence subtract 8 from the previous term.
next term = 56 - 8 = 48
The sequence is 72, 64, 56, 48
Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
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, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is of
.
- The standard deviation is of
.
- Sample of 100, hence

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:
Z = -2:

By the Central Limit Theorem




Z = 2:




The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213
Based on the starting temperature and the new temperature, the relevant expression would be<u> 2 - (-9) </u>
To find the number of degrees the temperature has changed by, use the following equation:
<em>= Starting temperature - Current temperature </em>
Starting temperature = 2°F
Current temperature = -9°F
The equation becomes:
<em>= 2 - (-9)</em>
In conclusion, the expression would be 2 - (-9)
<em>Find out more on </em><em>expressions </em><em>at brainly.com/question/945593. </em>
Answer:
f = .39
Step-by-step explanation:
d (v) = 2.15 v^2 / (64.4 f)
v = 40
d = 138
substitute these in
138 = 2.15 (40)^2 / (64.4 *f)
simplify
138 = 2.15 (*1600) / (64.4 *f)
138 = 3440 / (64.4 *f)
multiply each side by 64.4f
138 * 64.4 f = 3440
8887.2 f = 3440
divide by 8887.2
8887.2 f /8887.2= 3440/8887.2
f=.38707
to the nearest hundredth
f = .39
R; all quadratic functions are going to have ranges and domains of *ALL REAL NUMBERS*.