The answer would be 5x10^4
Answer:
99% Confidence interval: (0.185,0.375)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 150
Number of cars that have faulty catalytic converters, x = 42
99% Confidence interval:
Putting the values, we get:
The 99% confidence interval for the true proportion of new cars with faulty catalytic converters is (0.185,0.375)
Answer:
Step-by-step explanation:
Upon factoring all terms we are left with the product of
[(x-4)(x+6)(x-6)]/[5(x-6)(3x+5)(x-4)]
The (x-4)s and (x-6)s cancel out and we are left with
(x+6)/(5(3x+5)) which is also equal to
(x+6)/(15x+25)
Answer:
(a + b + c)(a + b - c)
Step-by-step explanation:
(a + b)² - c² ← is a difference of squares and factors in general as
x² - y² = (x + y)(x - y)
Here x = a + b and y = c , then
(a + b)² - c²
= (a + b + c)(a + b - c)
Answer:
The dimensions of the rectangle would be a Length of 7 units and a Height of 6 units, or C. 6 units and D. 7 units
Step-by-step explanation:
The <u>dimensions</u> of the rectangle are found by calculating the distance between various corner points. (We can find the distance between any two points if we know their coordinates. So in the figure (of your question):
HEIGHT - of the rectangle is the distance between A and B ( or C,D). The formula for the distance between two points, is (square root) of dx squared (distance in x-coordinates of A,B ) + dy squared (distance in y-coordinates of A,B)
AB =
= 7.2
WIDTH - is the distance between B and C (or A,D). The formula for the distance between two points, is (square root) of dx squared (distance in x-coordinates of B,C) + dy squared (distance in y-coordinates of B,C)
BC =
= 6.3
LENGTH of a DIAGONALS is the distance between opposite corners, say B and D (or A,C since the diagonals are congruent).
BD =
= 9.5