Answer:
-9
Step-by-step explanation:
11+15u=-7+13u
or, 15u-13u = -7-11
or, 2u = -18
or, u = -9
Answered by GAUTHMATH
Answer:
x=8
Step-by-step explanation:
Using the normal distribution, it is found that:
- 3 - a) The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.
- 3 - b) The minimum height of man in the Dinaric Alps that would place him in the top 10% of all heights is of 76.84 inches.
- 4 - a) The 25th percentile for the math scores was of 71.6 inches.
- 4 - b) The 75th percentile for the math scores was of 78.4 inches.
<h3>Normal Probability Distribution
</h3>
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.
Question 3:
- The mean is of 73 inches, hence .
- The standard deviation is of 3 inches, hence .
Item a:
The 40th percentile is X when Z has a p-value of 0.4, so <u>X when Z = -0.253</u>.
The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.
Item b:
The minimum height is the 100 - 10 = 90th percentile is X when Z has a p-value of 0.9, so <u>X when Z = 1.28</u>.
The minimum height of man in the Dinaric Alps that would place him in the top 10% of all heights is of 76.84 inches.
Question 4:
- The mean score is of 75, hence .
- The standard deviation is of 5, hence .
Item a:
The 25th percentile is X when Z has a p-value of 0.25, so <u>X when Z = -0.675</u>.
The 25th percentile for the math scores was of 71.6 inches.
Item b:
The 75th percentile is X when Z has a p-value of 0.25, so <u>X when Z = 0.675</u>.
The 75th percentile for the math scores was of 78.4 inches.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213
Answer:
-6.75 + (10.25) = ( (-6) + (10)) + ( (-0.75) + (0.25))
Here, the integer part = ( (-6) + (10))
Decimal part = ( (-0.75) + (0.25))
Step-by-step explanation:
Here, the given expression is: -6.75 + (10.25)
Now, -6.75 = (-6) + (-0.75)
Also, (10.25) = (10) + (0.25)
So, the expression can be written as
-6.75 + (10.25) = (-6) + (-0.75) + (10) + (0.25)
= ( (-6) + (10)) + ( (-0.75) + (0.25))
or, -6.75 + (10.25) = ( (-6) + (10)) + ( (-0.75) + (0.25))
Where the integer part is ( (-6) + (10))
and the decimal part is ( (-0.75) + (0.25))
Area of trapezoid = 18 = 1/2 * 6 * h
h = 18 / ( 1/2 * 8) = 6 ft
Area of the square = 6^2 = 36 ft^2