Answer:
128/15 min or 8.5 min
Step-by-step explanation:
By using unitary method,
Time required to paint 5/8 of wall = 16 min.
Time required to paint 1/1 of wall = 16×8/5
Hence, Time required to paint 1/3 of wall = 16×8/5×1/3
Let x represent gallons of $19 paint
let y represent gallons of $3 paint
first you make your 2 equations
x+y=16, y=16-x
(19x+3y) ÷ 16 = 14
then you use substitution
14 = (19x + 3(16-x) ) ÷16
224 = 19x + 48 - 3x
176 = 16x
11 = x, so there's 11 gallons of $19 paint
recall that x+y=16
11+y=16
5=y
so there are 11 gallons of $19 paint and 5 gallons of $3 paint
Answer:
The <em>p</em>-value of the test is 0.0512.
Step-by-step explanation:
The <em>p</em>-value of a test is well-defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.
In this case the output of the t-test_ind method from scipy module is provided as follows:
Output = (-1.99, 0.0512)
The first value within the parentheses is the test statistic value.
So the test statistic value is, -1.99.
And the second value within the parentheses is the <em>p</em>-value of the test.
So the <em>p</em>-value of the test is 0.0512.
Answer:

Step-by-step explanation:
Given: Maria spent $2388 for natural gas, last year.
Maria chooses to use balance billing process to pay this year´s gas bill.
Balance billing is a billing practice, where provider bill you the difference between total cost and allowed amount. It can be paid partially or monthly. It generally in practice for medical billing as healthcare bill are generated for difference between total cost and amount which is paid through insurance.
Now, lets find out monthly bill paid by Maria.
We know there are 12 months in a year.
∴ Monthly payment= 
∴Maria will pay $199 monthly as her gas bill this year.
The picture in the attached figure
we know that
area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree
in this problem
∅=120°
r=4 units
so
area of a sector=(120°*pi/360°)*4²-------> (120°/360°)*(16*pi) units²
The <span>
expressions to find the area of the shaded sector is</span>
(120°/360°)*(16*pi) units²(1/3)*(16*pi)----> (16/3)*pi units²
the area of the shaded sector is (16/3)*pi units²