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Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

6 0

Lets take a quick look at the rate of change in the graph. Apologies for how blurry the image is, but we can see for every minute 3 gallons of water gets poured in the tank. So, the answer would be 3!

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The number of board feet in a 16 foot long tree is approximated by the model F(d) = 0.77d^2 -- 1.32d -- 9.31 where F is the numb

Lubov Fominskaja [6]

we are given

$F(d)=0.77d^2-1.32d-9.31$

where

F is the number of board feet

d is the diameter (in inches) of the log

Since, we have to minimize F

so, firstly we will find it's derivative

$F'(d)=0.77\times 2d-1.32\times 1-0$

$F'(d)=1.54d-1.32$

now, we can set it to 0

and then we can solve for d

$F'(d)=1.54d-1.32=0$

$1.54d-1.32=0$

so, we get diameter as

$d=\frac{6}{7}inch$ ..............Answer

6 0

3 years ago

Suppose the parent population has an exponential distribution with a mean of 15 and standard deviation of 12. Use the Central Li

bazaltina [42]

Answer:

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .