3 years ago

A circular plate has circumference 27.6 inches. What is the area of this plate?

Mathematics

1 answer:

jasenka [17]3 years ago

3 0

Answer: 86.70

Step-by-step explanation:

You might be interested in

Determine the explicit formula in the sequence 11, 14, 19, 26, 35

slamgirl [31]

Answer:

Pattern is you add odd numbers, as in 1, 3, 5, 7, 9, etc.

Step-by-step explanation:

11 + 3 = 14

14 + 5 = 19

19 + 7 = 26

26 + 9 = 35

hope this helps

3 0

3 years ago

The amount of time Ricardo spends brushing his teeth follows a Normal distribution with unknown mean and standard deviation. Ric

Papessa [141]

Let $X$ denote the number of minutes spent brushing his teeth, and let $\mu$ be the mean and $\sigma$ the standard deviation for this distribution.

$\mathbb P(X$

The z-score corresponding to this probability is approximately $z=-0.2533$ , which means

$\dfrac{1-\mu}\sigma=-0.2533\iff\mu-0.2533\sigma=1$

Next, (note the sign change)

$\mathbb P(X>2)=0.02\implies\mathbb P(X\le2)=\mathbb P\left(\dfrac{X-\mu}\sigma\le\dfrac{2-\mu}\sigma\right)=0.98$

The corresponding z-score is approximately $z=2.0538$ , so you have

$\dfrac{2-\mu}\sigma=2.0538\iff\mu+2.0538\sigma=2$

Solving the two equations for $\mu$ and $\sigma$ , you'll find that the mean is approximately $\mu=1.1098$ and the standard deviation is approximately $\sigma=0.4334$ .