Answer:
The lower bound of a 99% C.I for the proportion of defectives = 0.422
Step-by-step explanation:
From the given information:
The point estimate = sample proportion 
= 0.55
At Confidence interval of 99%, the level of significance = 1 - 0.99
= 0.01
Then the margin of error 
E = 0.128156
E ≅ 0.128
At 99% C.I for the population proportion p is: 
= 0.55 - 0.128
= 0.422
Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422
Answer:
31 L
Step-by-step explanation:
Here is the complete question
An ambulance require diesel as fuel because of so many trips nearby pump purchase diesel in bulk for the ambulance there are three containers at the pump which contain 403 L 434 L and 465 L of diesel respectively the maximum capacity of measuring container that can be measured the diesel of the three containers an exact number of times is
Solution
To find the exact number of times in which we can measure the diesel in the three containers, since the capacity of each container is 403 L, 434 L and 465 L respectively, we find the prime factors of each number.
The prime factors of 403 = 13 × 31
The prime factors of 434 = 2 × 7 × 31
The prime factors of 465 = 3 × 5 × 31
The measuring capacity equals the highest common factor (H.C.F) of the three numbers. That is H.C.F of 403, 434, 465.
Since it can be seen here that the H.C.F is 31, then the maximum capacity of measuring container that can be measured the diesel of the three containers an exact number of times is 31 L
Your answer is gonna be 2
Answer:
45 cm
Step-by-step explanation:
l = Length of football field is 120 yards
w = Width of football field is 80 yards
The ratio of the sides is 
Now the width of the field is 30 cm = w'
The length of the field in the drawing is 45 cm.
Answer:the binomial that is not a factor is x - 4
Step-by-step explanation:
The given polynomial is expressed as
P(x) = 3x^3 + 5x^2 - 4x - 4
The first step is to equate the polynomial to zero. It becomes
P(x) = 3x^3 + 5x^2 - 4x - 4 = 0
We would substitute each value of x into the polynomial. If the result is zero, then it is a factor.
1) x - 4 = 0, x = 4
Therefore,
3×4^3 + 5 × 4^2 - 4 × 4 - 4 = 0
384 + 80 - 16 - 4 = 444
2) x + 2 = 0, x = - 2
Therefore,
3 × -2^3 + 5 × -2^2 - 4 × -2 - 4 = 0
- 24 + 20 + 8 - 4 = 0
3) x = 1
Therefore,
3 × 1^3 + 5 × 1^2 - 4 × 1 - 4 = 0
4) 3x + 2 = 0
3x = - 2
x = - 2/3
Therefore
3 × (-2/3)^3 + 5 × (-2/3)^2 - 4 × (-2/3) - 4 = 0
