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3 years ago

Find the mode of 3, 6, 4, 3, 2, 4, 7, 8, 6, 3, 9

Mathematics

2 answers:

lions [1.4K]3 years ago

8 0

Answer:

3 is the mode because it appears most often.

Step-by-step explanation:

Snezhnost [94]3 years ago

3 0

Answer:

The mode is 3.

Step-by-step explanation:

First lets define the mode. The mode is the most common number out of the sequence. When we look at the sequence, we can see that the most common number seen is 3. Therefore, the answer is 3.

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OC and OR are similar. Find the length of QP.

Elena L [17]

Given:

Circle C and circle R are similar.

The length of arc AB is $s = \frac{22 \pi}{9}$

The radius of circle C (AC) = 4 unit

The radius of circle R (QR) =6 unit

To find the length of arc QP.

Formula

The relation between s, r and $\theta$ is

$arclength = 2\pi r \frac{\theta}{360}$

where,

s be the length of the arc

r be the radius

$\theta$ be the angle.

Now,

For circle C

Taking r = 4

According to the problem,

$2 \pi r \frac{\theta}{360} = \frac{22 \pi}{9}$

or, $2r \frac{\theta}{360} = \frac{22}{9}$ [ eliminating $\theta$ from both side]

or, $\theta = \frac{(22)(360)}{(9)(2)(4)}$

or, $\theta = 110^\circ$

Again,

For circle R

Taking, r = 6 and $\theta = 110^\circ$ we get,

The length of arc QP is

$arc length = 2\pi (6)(\frac{110}{360} )$

or, $arclength = \frac{11 \pi}{3}$

Hence,

The length of QP is $\frac{11 \pi}{3}$ . Option C.

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