Answer:
It will take 2.8 minutes
Step-by-step explanation:
Given


See attachment for complete question
Required
Time to fill the tube with 46.2 gallons
The attached table is a represents a direct proportional relationship between x and y.
This relationship is:

Where k is the constant of proportionality.
When (x,y) = (1,16.5), we have:



So, we have:


To calculate the required time to fill 46.2 gallons, we make x the subject

Where



The General Equation of Parabola having vertex at (0,0) and Focus(a,0) and (0,a) is
or 
Now ,the Given equation of parabola having vertex at (0,3) is
x^2=y-3
It is 3 unit above y axis. So the parabola will open in the upward direction.
Out of all the options provided which are
1.y = (x - 3) ^2
2.y = (x + 3) ^2
3.y = x ^2 - 3
4.y = x^ 2 + 3
Option 4. y = x^ 2 + 3 is correct.
Answer:
slope of line one: 2/4 or 1/2
line two: 6/1
line 3: 6/3 or 2
line 4: -4/1
to find the slope of a line, you have to use rise/run the number of space going along the y-axis is the rise, and the space of the points on the x-axis is the run.
hope this helps!
Answer:
oh thats easy thats 7
Step-by-step explanation:
i guess
Answer:
We accept H₀ . We don´t have enough evidence to express the publisher claim is not true
Step by Step explanation:
We must evaluate if the mean of the price of college textbooks is different from the value claimed by the publisher
n < 30 then we must use t - distrbution
degree of freedom n - 1 df = 22 - 1 df = 21
As the question mentions " different " that means, a two-tail test
At 0,01 significance level α = 0,01 α/2 = 0,005
and t(c) = 2,831
Test Hypothesis
Null Hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ ≠ μ₀
To calculate t(s)
t(s) = ( μ - μ₀ ) /σ/√n
t(s) = ( 433,50 - 385 ) / 86,92 / √22
t(s) = 2,6171
Comparing t(c) and t(s)
t(s) < t(c)
Then t(s) is in the acceptance region we accept H₀. We don´t have enough evidence to claim that mean price differs from publisher claim