1.) <1=25°, <2=155°, <4=155°
Answer:
The interest is $1.5 and the amount is $61.5.
Step-by-step explanation:
1-2. The best estimate for the population mean would be sample mean of 60 gallons. Since we know that the sample mean is the best point of estimate. Since sample size n=16 is less than 25, we use the t distribution. Assume population from normal distribution.
3. Given a=0.1, the t (0.05, df = n – 1 = 15)=1.75
4. xbar ± t*s/vn = 60 ± 1.75*20/4 = ( 51.25, 68.75)
5. Since the interval include 63, it is reasonable.
Answer:
height = 4.5 cm
Step-by-step explanation:
9 liters = 9000 cm^3
(50x40xH) = 9000
H = 4.5 cm
First of all, you have to understand

<span> is a square-root function.
</span>Square-root functions are continuous across their entire domain, and their domain is all real x-<span>values for which the expression within the square-root is non-negative.
</span>
In other words, for any square-root function

and any input

in the domain of

(except for its endpoint), we know that this equality holds:
Let's take

<span>as an example.
</span>
The domain of

is all real numbers such that

. Since

is the endpoint of the domain, the two-sided limit at that point doesn't exist (you can't approach

<span>from the left).
</span>
<span>However, continuity at an endpoint only demands that the one-sided limit is equal to the function's value:
</span>
In conclusion, the equality

holds for any square-root function

and any real number

in the domain of

e<span>xcept for its endpoint, where the two-sided limit should be replaced with a one-sided limit. </span>
The input

, is within the domain of

<span>.
</span>
Therefore, in order to find

we can simply evaluate

at

<span>.
</span>