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2 years ago

Find the lateral surface area of a

Mathematics

1 answer:

balandron [24]2 years ago

5 0

Answer:

15.1 mm²

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

(where r is the radius and h is the height)

Given:

r = 1.2 mm
h = 2 mm

Substitute given values into the formula:

⇒ Lateral surface area = 2π(1.2)(2)

= 4.8π

= 15.1 mm² (nearest tenth)

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A random sample of 56 lithium batteries has a mean life of 645 hours with a population standard deviation of 31 hours. Compute t

bearhunter [10]

Answer: A. (636.9, 653.1)

Step-by-step explanation:

Given : Sample size : n=56

Significance level : $\alpha: 1-0.95=0.05$

Critical value : $z_{0.05}=1.96$

Sample mean : $\overline{x}=645\text{ hours}$

Standard deviation : $\sigma= 31\text{ hours}$

The 95% confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm (1.96)\dfrac{31}{\sqrt{56}}\\\\=645\pm8.1\\\\=(636.9, 653.1)$

Hence, 95% confidence interval for population mean is (636.9, 653.1).

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3 years ago

What is 9/41 expressed as a decimal?

Mila [183]

0.21951 Reapeating cause the decimal does not terminate

6 0

3 years ago

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Find range ,median mode and mean of the following numbers -19,-11,-19,-18,-13,-19,-18,-11.0, 11,12

IrinaK [193]

Range= 31 because 12- -19 = 31 you subtract the lowest with the highest.

Mean= 8.3

Mode = -19 because you mostly see -19 there’s 3 -19 . :)))

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2 years ago

What is the common difference or common ratio of the sequence 3,7,11,15...?

olga55 [171]

Answer: you only add 4 each time

Step-by-step explanation:

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2 years ago

What is the height of a triangle with an area of 192 square centimeters and

ikadub [295]

Answer:

$Height=16\,cm$

Step-by-step explanation:

Area of a triangle :

$\dfrac{1}{2}\times Base \times height$

For,

$Area=192\,cm^2\\\\Base=24\,cm$

$192=\dfrac{1}{2} \times 24 \times Height\\\\192= 12\times Height\\\\Height=\dfrac{192}{12} \\\\Height=16\,cm$

The height of the triangle is: $16\,cm$

7 0

3 years ago

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