Answer:
Simplifying
8a + -6 + a + -1 = 0
Reorder the terms:
-6 + -1 + 8a + a = 0
Combine like terms: -6 + -1 = -7
-7 + 8a + a = 0
Combine like terms: 8a + a = 9a
-7 + 9a = 0
Solving
-7 + 9a = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 9a = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 9a = 0 + 7
9a = 0 + 7
Combine like terms: 0 + 7 = 7
9a = 7
Divide each side by '9'.
a = 0.7777777778
Simplifying
a = 0.7777777778
Step-by-step explanation:
Answer:
a. Yes(n=500>=5, n(1-p)=25>=5)
b. 0.15241
Step-by-step explanation:
a. A normal approximation to the binomial can be used 5 and n(1-p)>=5:
#We calculate our p as follows:
=x/n=470/500=0.94
n=500
n(1-p)=500(1-0.95)=25
Hence, we can use the normal approximation.
b. This is a normal approximation.
-Given that p=0.95(95%)
-We verify if our distribution can be approximated to a normal:
Hence, we can use the normal approximation of the form:
Hence, the probability of the sample proportion is the same as the proportion of the sample found is 0.15241
Answer:
the answer is d. What is the width of the box, in inches, that
produces the maximum volume?
Step-by-step explanation:
length: 120 - 6w >
Answer:
About 20%
Step-by-step explanation:
The probability of a point on the un-shaded region will be given by;
Area of the shaded region/total area
Considering that the circles are of the same size, then the length of the square is 2d
Area of the square = 4d²
Area of the shaded = (4d² -4π(d/2)²
= 4d² -πd², but π = 22/7
= 6/7d²
Probability = (6/7d² ÷ 4d²) × 100%
= (6/28 d²) × 100%
= 21.42 %
So your answer is B. 20%
Don't thank me this was easy.