Given : The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.

i.e. $\mu=30$ and $\sigma=0.9$

Let x denotes the lengths of aluminum-coated steel sheets.

Required Formula : $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-

$P(29.82$

∴ Required probability = 0.8490

3 0

3 years ago

Quadratic inverse for y=x^2-1

stepan [7]

let's recall that to find the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

$\bf y = x^2-1\implies \stackrel{switcheroo}{x=y^2-1}\implies x+1=y^2\implies \sqrt{x+1}=\stackrel{f^{-1}(x)}{y}$

8 0

2 years ago

A man walk for 2hr at 6km/h.he then cycled for a certain time at 16km/h.if he traveled 36km all together for how many hours did

Klio2033 [76]

Answer:

t = 1.5 hours

Step-by-step explanation:

Given that,

A man walk for 2hr at 6 km/h.

He then cycled for a certain time at 16 km/h.

He travelled 36 km all together.

We need to find for how many hours did he cycle.

Distance walked in 2 hours = 2×6 = 12 km

Distance he cycled = 36-12 = 24 km

Let he cycled for t hours. So,

$t=\dfrac{24}{16}\\\\t=1.5\ h$

So, he cycles for 1.5 hours.

4 0

3 years ago