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Gemiola [76]
3 years ago
13

Please help !!

Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer:

OPTION C: 300$ \pi $ cm³

Step-by-step explanation:

Volume of a cylinder = $ \pi r^2 h $

where, $ r $ - is the radius of the cylinder;

and      $h $ - is the height.

Given: $ r = 5 cm $ and $ h = 12 cm $

⇒ V = $ \pi $ (5)² (12) = $ \pi $ (25) (12)

⇒                          V = 300 $ \pi $

Therefore, the volume of the cylinder, V = 300$ \pi $ cm³.

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2 years ago
insurance company checks police records on 559 accidents selected at random and notes that teenagers were at the wheel in 91 of
ss7ja [257]

Answer: (13.22\%,\ 19.34\%)

Step-by-step explanation:

Given : Sample space : n= 559

Sample proportion : \hat{p}=\dfrac{91}{559}=0.162790697674\approx0.1628

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Significance level : \alpha= 1-0.95=0.05

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Confidence level for population proportion:-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.1628\pm (1.96)\sqrt{\dfrac{0.1628(1-0.1628)}{559}}\\\\=0.1628\pm0.030604971367\\\\\approx 0.1628\pm0.0306=(0.1322,\ 0.1934)=(13.22\%,\ 19.34\%)

Hence, 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.= (13.22\%,\ 19.34\%)

7 0
3 years ago
A rectangle has an area of (12m-30n) square units. Its width is 6 units. Factor the expression for the area to find an expressio
garik1379 [7]

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6(2m - 5n) = 12m - 30n


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Answer:

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As m // n, so angle 2 and angle 6 is the same so angle 2 = 55 degree, then angle 1 + angle 2 = 180 degree, so angle 1 = 180 - 55 = 125 degree.

If it is helpful, please give me Brainliest.

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