Answer:
37.20 %
Step-by-step explanation:
Circumference = 2 × pi × r
30 = 2 × 3.14 × r
r = 4.7770700637
Area of her face = pi × r²
3.14 × 4.7770700637²
= 71.6560509556 in²
Area of the mask = 9 × 5 = 45 in²
Uncovered area
= 71.6560509556 - 45
= 26.6560509556 units²
% of uncovered area:
26.6560509556/71.6560509556 × 100
37.2%
Answer:
136 cubic feet
Step-by-step explanation:
2x2x2= 8
4x4x8 = 128
128 + 8 = 136
First simplify the square roots:
Then simplify the last two terms:
Since 61 is prime, you can't take a rational root out of it.
Answer:
One tailed
To conclude if there is an increase in the mean gas mileage due to new type of tire.
Step-by-step explanation:
We are given the following in the question:
The manufacture wants to compare increase in the mean gas mileage.
Population mean = 32 miles per gallon
Thus, the manufacture could carry a hypothesis test to compare mean.
A one tailed test (z-test or t-test) based on the information can be used to compare the increase in mean.
Thus,
The automotive manufacturer should perform a one tailed hypothesis test to conclude if there is an increase in the mean gas mileage due to new type of tire.
Answer:
The correct answer is: 3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4
Step-by-step explanation:
Given:
((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =
dividing with one fraction is the same as multiplying with its reciprocal value
((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))
First we need to factorize both numerators and denominators
16x² - 8x + 1 = (4x - 1)² This is square binomial
x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)
20x² - 5x = 5x (4x - 1)
(4x - 1)² / (x - 4) (x - 3) · 15x³ / 5x (4x - 1)
The existence of this rational algebraic expression is possible only if it is:
x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0 =>
x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4 This is restriction
Finally we have:
3 x² (4x - 1) / (x - 4) (x - 3)
God with you!!!
