1) Call x the sample mean = 3.56
2) Call s the sample standard deviation = 0.2
3) Given that the variable is normally distributed and the sample is large, you determine the interval of confidence from:
x +/- Z(0.5) s/√n
Wehre Z(0.5) is the value of the probabilities over 5% (90% of confidence mean to subtract 10%, which is 5% for each side (tails) of the normal distribuition) and is taken from tables.
Z(0.5) = 0.3085
Then the inteval is
x +/- 0.385 *s /√n = 3.56 +/- 0.385 * 0.2/√45
3.56 +/- 0.011 = ( 3.549, 3.571). This is the answer.
Answer:
x=32°
Step-by-step explanation:
ABC+BCA+CDE=180
Substitute
61+57+2x=180
118+2x=180
2x=62
x=32
Answer:
B. 7 and 60
C. 11 and 56
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of the three squares must satisfy the Pythagorean Theorem
so
where
c^2 is the area of the largest square
a^2 and b^2 are the areas of the smaller squares
The sum of the areas of the smaller squares must be equal to 67
therefore
7 and 60 ----> could be the areas of the smaller squares (60+7=67)
11 and 56 ----> could be the areas of the smaller squares (11+56=67)
Answer:
3x2 + 3xh + h2
Step-by-step explanation:
c
Answer:12 years
Step-by-step explanation: it’s a $100 difference so you would just multiply that number by the percentage which is 12% and as a decimal it’s .12 so 100*.12= 12
