Can someone please do this please.
1 answer:
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This is a linear relationship. The slope-intercept form of the linear equation is:
Where,
- m is the rate of change (positive if increasing rate and negative if decreasing rate)
- c is the y intercept, or the initial value
<u><em>Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)</em></u>
<u><em>Initial value is 50 quarts, so c is 50.</em></u>
Plugging in the values we get .
Changing variables to w instead of y and t instead of x, gives us,
. Where w is warts of water left in the tub and t is the time in minutes.
There is no viable solution when t=30 because at t=20, w=0 (). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.
ANSWER:
Modelling equation:
When , there is no VIABLE solution
Answer:
(a) P (p' > 0.25) = 0.
(b) P (0.15 < p' < 0.20) = 0.7784.
(c) P (133 < X < 171) = 0.2205
Step-by-step explanation:
Let <em>p</em> = proportion of business trip that were for internal company visit.
It is provided that 19% responded that it was for an internal company visit, i.e.
<em>p</em> = 0.19.
A sample of <em>n</em> = 950 business travelers are randomly selected.
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
Thus, the distribution of is N (<em>μ</em> = 0.19, <em>σ </em>= 0.013).
(a)
Compute the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:
P (p' > 0.25) = P (Z > 4.62) = 0
*Use a <em>z</em>-table for the probability.
Thus, the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.
(b)
Compute the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:
P (0.15 < p' < 0.20) = P (-3.08 < Z < 0.77)
= P (Z < 0.77) - P (Z < -3.08)
= 0.7794 - 0.0010
= 0.7784
*Use a <em>z</em>-table for the probability.
Thus, the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.7784.
(c)
Compute the proportion of <em>X</em> = 133 and <em>X</em> = 171 as follows:
p' = 133/950 = 0.14
p' = 171/950 = 0.18
Compute the value of P (0.14 < p' < 0.20) as follows:
P (0.14 < p' < 0.18) = P (-3.85< Z < -0.77)
= P (Z < -0.77) - P (Z < -3.85)
= 0.2206- 0.0001
= 0.2205
*Use a <em>z</em>-table for the probability.
Thus, the probability that between 133 and 171 of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.2205.