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2 years ago

BRAINLIEST Volume of a cylinder.

Mathematics

2 answers:

astra-53 [7]2 years ago

6 0

Answer:

Step-by-step explanation:

Given,

Radius of a cylinder = 2 ft

Height of the cylinder = 7 ft

Therefore, volume of the cylinder

$= \pi {r}^{2} h$

$= \frac{22}{7} \times 2ft \times 2ft \times 7ft$

$88 {ft}^{3} (ans)$

IrinaVladis [17]2 years ago

3 0

Formula: V = (3.14) (r^2)(h)
V= (3.14)(2^2)(7)
V= 87.92

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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe

Rama09 [41]

You can see how this works by thinking through what's going on.

In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97

What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

So the population after x years is 1200 * 0.97x

5 0

3 years ago

A contractor is required by a county planning department to submit one, two, three, four, five, or six forms (depending on the n

Ratling [72]

Answer:

$k = \dfrac{1}{21}$

b) 0.476

c) 0.667

Step-by-step explanation:

We are given the following in the question:

Y = the number of forms required of the next applicant.

Y: 1, 2, 3, 4, 5, 6

The probability is given by:

$P(y) = ky$

a) Property of discrete probability distribution:

$\displaystyle\sum P(y_i) = 1\\\\\Rightarrow k(1+2+3+4+5+6) = 1\\\\\Rightarrow k(21) = 1\\\\\Rightarrow k = \dfrac{1}{21}$

b) at most four forms are required

$P(y \leq 4) = \displaystyle\sum^{y=4}_{y=1}P(y_i)\\\\P(y \leq 4) = \dfrac{1}{21}(1+2+3+4) = \dfrac{10}{21} = 0.476$

c) probability that between two and five forms (inclusive) are required

$P(2\leq y \leq 5) = \displaystyle\sum^{y=5}_{y=2}P(y_i)\\\\P(2\leq y \leq 5) = \dfrac{1}{21}(2+3+4+5) = \dfrac{14}{21} = 0.667$

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3 years ago

Find the mode and median of the data 12 16 12 14 12 15 15

Basile [38]

Step-by-step explanation:

1. mode is the value which appears most

mode = 12

median is the value in the

middle

median = 14

2. mode = 12

median = 14

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2 years ago

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ASHA 777 [7]

Answer:

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Step-by-step explanation:

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3 years ago

A random sample of 11 days were selected from last year's records maintained by the maternity ward in a local hospital, and the

EleoNora [17]

Answer: ( Min = 0 , $Q_1=1$ , $Q_2=3$ , $Q_3=7$ , Max = 10 )

Step-by-step explanation:

Given : A random sample of 11 days were selected from last year's records maintained by the maternity ward in a local hospital, and the number of babies born each day of the days is given below:

3 7 7 10 0 7 1 2 5 3 0

We first arrange them in increasing order , we get

0 0 1 2 3 3 5 7 7 7 10

Here , N= 11

Now , we can see that

Minimum value = 0

Maximum value = 10

First quartile $Q_1$ = $(\dfrac{N+1}{4})^{th}\ term=(\dfrac{12}{4})^{th}\ term = 3^{rd} term =1$