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1 year ago

Calculate the volume of a cylinder of radius 5cm and height 14cm (take pie 22/7)

Mathematics

1 answer:

HACTEHA [7]1 year ago

4 0

Answer:

Volume of a cylinder = 1,100cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

Given

π = 22/7

r = 5cm

h = 14cm

Substitute the given information in the problem.

Volume of a cylinder = 22/7 × (5cm)² × 14cm

Volume of a cylinder = 22/7 × 25cm² × 14cm

Volume of a cylinder = 1,100cm³

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The dot plot below shows how many customers purchased different numbers of shirts at a sale last weekend.

scoray [572]

Answer:

the answer is 1.16 shirts

Step-by-step explanation:

the mean absolute deviation is found by finding the average of the difference between each data point and the mean of the data.

1st...find the mean of the data by adding all the numbers according to the data plotted and dividing the by the numbers listed; which in this case is 10

1 +2+ 2+ 3+ 3+ 3+ 4+ 4+ 5+ 6 = 3.3

mean is 3.3

then find the difference between the mean and each data point

Data Point = 1 2 2 3 3 3 4 4 5 6

Difference from mean = 2.3 1.3 1.3 0.3 0.3 0.3 0.7 0.7 1.7 2.7

Find the average of these differences by adding the (differences from Mean) by 10

2.3 + 1.3 + 1.3 + 0.3 + 0.3 + 0.3 + 0.7 + 0.7 + 1.7 + 2.7

the mean absolute deviations is 1.16 shirts

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3 years ago

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Eight bungee cord for $10 or 20 bungee cords for $20

ICE Princess25 [194]

20 bungee cords for $10

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3 years ago

An investment website can tell what devices are used to access their site. The site managers wonder whether they should enhance

lbvjy [14]

Answer: a) Unimodal and symmetric

b) 0.26

c) 0.038

Step-by-step explanation:

Given: Sample size of investors (n)= 131

True proportion of smartphone users(p) =26%

a) Since sampling distribution for the sample proportion is approximately normal when n is larger.

Normal distribution is Unimodal and symmetric.

So correct option : Unimodal and symmetric

b) mean of this sampling distribution = p = 0.26

c) standard deviation of the samplingdistribution = $\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26\times (1-0.26)}{131}}=\sqrt{0.00146870229008}$

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2 years ago

Use the square root property of equality to solve (x – 3)2 = –4. The solutions are a. -1 or 7 b. 1 or 5 c. 3+- 2i d. 3+-4i

makkiz [27]

The answer is C. 3+-2i

(x-3) $(x-3)^{2} = -4

 \sqrt{(x-3)^2} = +- \sqrt{-4

x - 3 = i \sqrt{4} 

x - 3 = +-2i

x = 3 +-2i$

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2 years ago

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Evaluate the triple integral. 5x dv, where e is bounded by the paraboloid x = 7y2 + 7z2 and the plane x = 7. e

Mrac [35]

Convert to cylindrical coordinates:

$x=x$

$y=r\cos\theta$

$z=r\sin\theta$

Then $E$ is the set of points $(r,\theta,x)$ such that $0\le r\le1$ , $0\le\theta\le2\pi$ , and $7y^2+7z^2\le x\le7$ or $7r^2\le x\le7$ .

Now

$\displaystyle\iiint_E5x\,\mathrm dV=5\int_0^{2\pi}\int_0^1\int_{7r^2}^7xr\,\mathrm dx\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{245\pi}3}$

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3 years ago