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3 years ago

What is the volume of the cylinder shown? (Use 3.14 for π .) the height is 21 in and half the diameter is 15 .

Mathematics

1 answer:

-BARSIC- [3]3 years ago

7 0

Answer:

Volume = 14,836.5 cubic inches

Step-by-step explanation:

Cylinder not shown but information given. So we will calculate the volume.

Volume of Cylinder is given by the formula:

$V=\pi r^2 h$

Where

V is the volume

r is the radius (HALF of DIAMETER)

h is the height

It is given in the problem,

Height is 21

h = 21

and

half the diamter (aka radius) is 15

r = 15

Substituting into formula and using 3.14 for $\pi$ , we get the volume:

$V=\pi r^2 h\\V=\pi (15)^2 (21)\\V=(3.14)(225)(21)\\V=14,836.5$

Hence, the volume is:

Volume = 14,836.5 cubic inches

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Ten times the sum of half a number and 6 is 8.

Sedaia [141]

That would be

$10( \frac{1}{2} n + 6) = 8$
$\frac{1}{2} n+6= \frac{8}{10}$
$.5n + 6 = .8$
$.5n = -5.2$
$n=-2.6$

Hope that helps :)

8 0

3 years ago

16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours

Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

$n = 2*6 = 12$

Sale on 30% of these calls, so $p = 0.3$

a. The probability of making exactly four sales.

This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311$

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138$

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678$

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

$E(X) = np$

$E(X) = 12*0.3 = 3.6$

The mean number of sales in the two-hour period is 3.6.

4 0

3 years ago

Make w the subject of the relation p=2 (k+w)

ICE Princess25 [194]

Answer:

hope that will help you

3 0

2 years ago

Read 2 more answers

Factor 4x^4yz-16y^3z

Iteru [2.4K]

Answer:

Step-by-step explanation:

$4x^4yz-16y^3z\\\\4x^4yz=4yz\cdot x^4\\\\16y^3z=4yz\cdot4y^2\\\\4x^4yz-16y^3z=4yz\cdot x^4-4yz\cdot4y^2=4yz(x^4-4y^2)\\\\x^4-4y^2=x^{2\cdot2}-2^2y^2=(x^2)^2-(2y)^2=(x^2-2y)(x^2+2y)\\\\Used:\\\\(a^n)^m=a^{nm}\\\\(ab)^n=a^nb^n\\\\a^2-b^2=(a-b)(a+b)\\\\4x^4yz-16y^3z=4yz(x^2-2y)(x^2+2y)$

6 0

3 years ago

an article when sold at a profit of 5% yields rupees 50 more than when sold at a loss of 5% what was the cost price of the artic

ziro4ka [17]

I'm going to assume that the question should say “at a profit of 5%”.

Restate question in the form of a equation.

Let C = the cost price of the item.

C + 0.705 C = C - 0.05 C + Rs 50

0.05 C = - 0.05 C + Rs 50

0.10 C = Rs 50

C = Rs 500

The cost price of the item is Rs 500

I hope this help you

6 0

2 years ago