$\bf \textit{equation of a circle}\\\\
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllcl}
center\quad (&h,&\quad k)\qquad
radius=&r\\
&11&-9&12
\end{array}$

6 0

3 years ago

A pattern follows the rule "Starting with two, every consecutive line has a number one more than the previous line."

mars1129 [50]

There will be eight marbles on the 9th line

3 0

3 years ago

Jeffery is parking cars just outside of a building. Some of the spots are occupied.

bogdanovich [222]

Where is the rest of the question??

3 0

3 years ago

The population mean annual salary for environmental compliance specialists is about $62,000. A random sample of 32 specialists

lakkis [162]

Answer: 0.002718

Step-by-step explanation:

Given : The population mean annual salary for environmental compliance specialists is about $62,000.

i.e. $\mu=62000$

Sample size : n= 32

$\sigma=6200$

Let x be the random variable that represents the annual salary for environmental compliance specialists.

Using formula $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$ , the z-value corresponds to x= 59000 will be :

$z=\dfrac{59000-62000}{\dfrac{6200}{\sqrt{32}}}\approx\dfrac{-3000}{\dfrac{6200}{5.6568}}=-2.73716129032\approx-2.78$

Now, by using the standard normal z-table , the probability that the mean salary of the sample is less than $59,000 :-

$P(z$

Hence, the probability that the mean salary of the sample is less than $59,000= 0.002718

3 0

3 years ago