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2 years ago

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place

1 answer:

8 0

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}$

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25 markers in a bag: 5 red, 5 yellow, 5 blue, 5 green, 5 purple One marker is drawn out of the bag, then put back in. How many t

lawyer [7]

Answer: 16

Step-by-step explanation:

From the question, we are informed that there are 25 markers in a bag: 5 red, 5 yellow, 5 blue, 5 green, 5 purple and that one marker is drawn out of the bag, then put back in.

The probability of picking a blue marker will be: = 5/25 = 1/5

Therefore, the number of times that a blue marker will be expected to be picked in 80 draws would be:

= 1/5 × 80

= 16 times

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2 years ago

Read 2 more answers

Todos los numeros negativos son enteros verdadero o falsom.

Romashka-Z-Leto [24]

Answer:

False

Step-by-step explanation:

numbers are integers, the integers are negative, zero and positive,

while natural numbers are only positive,

therefore the statement is false

. False. Integers comprise negative and positive numbers (...- 3, -2, -1, 0, 1, 2, 3 ...) and natural numbers only comprise positive integers (0, 1, 2, 3 ...)

5 0

3 years ago

Given two consecutive integers whose sum is 45, find the smaller of the two integers.

Anna007 [38]

Answer:

22 and 23

Step-by-step explanation:

let two consecutive number be

x and x+1

now,according to the question

x+x+1=45

or,2x=45-1

or,2x=44

or,x=44/2

:-x=22

Hence, the two consecutive numbers are

22 and 23

8 0

3 years ago

The probability of winning on a single toss of the dice is p. A starts, and if he fails, he passes the dice to B, who then attem

alekssr [168]

Answer:

The probability of A winning is $\frac{1}{2-p}$ and the probability of B winning is $\frac{1-p}{2-p}$ .

Step-by-step explanation:

The probability of winning is p.

The game stops when either A or B wins.

The sample space of A winning is as follows:

{S, FFS, FFFFS, FFFFFFS, ...}

The sample space of B winning is as follows:

{FS, FFFS, FFFFFS, FFFFFFFS, ...}

Compute the probability of A winning as follows:

P (A winning) = P (S) + P (FFS) + P (FFFFS) + ...

$=p+(1-p)(1-p)p+(1-p)(1-p)(1-p)(1-p)p+...\\=p\sum\limits^{\infty}_{i=0} {(1-p)^{2i}}\\=p\times \frac{1}{1-(1-p)^{2}}\\=\frac{p}{1-(1-p)^{2}}\\=\frac{p}{1-1-p^{2}+2p}\\=\frac{1}{2-p}$

Compute the probability of B winning as follows:

P (B winning) = P (FS) + P (FFFS) + P (FFFFFS) + ...

$=(1-p)p+(1-p)(1-p)(1-p)p+(1-p)(1-p)(1-p)(1-p)(1-p)p+...\\=(1-p)p\sum\limits^{\infty}_{i=0} {(1-p)^{2i}}\\=(1-p)p\times \frac{1}{1-(1-p)^{2}}\\=\frac{(1-p)p}{1-(1-p)^{2}}\\=\frac{(1-p)p}{1-1-p^{2}+2p}\\=\frac{1-p}{2-p}$

Thus, the probability of A winning is $\frac{1}{2-p}$ and the probability of B winning is $\frac{1-p}{2-p}$ .

3 0

3 years ago

What is the difference between "Probability" and "Statitistics"?

dezoksy [38]

Answer: Probability deals with predicting future events but statistics involves an analysis of the frequency of past events

Step-by-step explanation:

7 0

3 years ago

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place​

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place