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3 years ago

6

In a data set of 200 observations with a rage of 63.5 to 102.3, there are 138 observations with values less than 89.2 ,

1 answer:

PolarNik [594]3 years ago

6 0

"find the percentile" means: "what percentage of the data points is below a certain value".

Here it's 138 data points out of 200, which is:

$\frac{138}{200} = \frac{69}{100}*100% =69$ .

The answer is 69, and we phrase it as "the 69th percentile of data is at the value of 89.2"

You actually don't need to know the range to solve this!

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RoseWind [281]

Answer:

$m\angle KLM=53.13^o$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle KOM

In the triangle KOM

we have

$KO=MO=r=5\ units$

$KM=8\ units$

Applying the law of cosines

$8^2=5^2+5^2-2(5)(5)cos(KOM)$

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$cos(KOM)=-14/50$

$m\angle KOM=cos^{-1}(-14/50)$

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step 2

Find the measure of the arc KM

we know that

$arc\ KM=m\angle KOM$ ----> by central angle

we have

$m\angle KOM=106.26^o$

so

$arc\ KM=106.26^o$

step 3

Find the measure of angle KLM

we know that

The inscribed angle is half that of the arc comprising

$m\angle KLM=\frac{1}{2}[arc\ KM]$

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4 years ago

7. In 2015 a club has 250 members who each

Evgen [1.6K]

2015:

250 members

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250 members + 4%

$95 annual subscription + 6%

Work:

250 x 1.04 = 260

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Thus, the club makes $26,182 from 260 members who pay a subscription of $100.7

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4 years ago

Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

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The volume of the given shape:

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Substitute:

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